Taylor and Alex are looking for a daycare for their child. They want to make sure the daycare is midway between their jobs. Taylor works at the Rogers Middle School located at (4, -5), and Alex works at St. Philip's located at (2, 5). Where should the daycare be located?

Answers

Answer 1

The location of the coordinate of the daycare is (3, -1.5)

Midpoint of coordinates

The formula for calculating the midpoint of coordinate is expressed as;

M(x, y) = {(x₁+x₂/2, y₁+y₂/2)}

Given the coordinate points (4, -5) and (2, 5), on substituting, we will have:

M(x, y) = {(4+2/2, -5+2/2)}

M(x, y) = (6/2, -3/2)

M(x, y) = (3, -1.5)

Hence the location of the coordinate of the daycare is (3, -1.5)

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Related Questions

7h
t: h²k²
-7k
k² - h²

Answers

Answer:

i'm pretty sure it's the second option

Step-by-step explanation:

What is f(g(x) of f(x)=9x+2 and g(x)=x-2 over 9

Answers

The value of the composite function f(g(x)) is calculated as f(g(x)) = 65.

What is termed as the composite function?

Composite functions is one in which one function is placed within another.

A composite function defines one that is reliant on another. A composite function is defined whenever one function is replaced for another. For example, the composite function constituted by substituting g(x) for x in f is f(g(x)) (x).f(g(x)) is spoken as "f оg(x)."

For, the given values in the question;

f(x) = 9x+2 and g(x) = x-2

We have to find the value of f(g(x)) for x = 9.

First estimate the value of g(x) by substituting  x = 9 in it.

g(x) = x-2

g(9) = 9-2 = 7

Now,

f(x) = 9x+2 and

f(g(x)) = f(7) = 9x+2, (substitute x = 7)

f(g(x)) = 9×7 + 2

f(g(x)) = 65.

Thus, the value of the composite function f(g(x))  = 65.

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How to solve x+5/-6= -4

Answers

x+5/-6= -4

multiply each side by -6

x-5/6= -4

*-6 *-6

x+5=24

subtract 5 from each side

x=19

Jackie buys 6 packs of 100 post-its, 4 packs of 10 post-its, and 4 fancy post-its by themselves.
Then, her friend gives her 3 more fancy post-its. How many post-its does she have now?

Answers

Step-by-step explanation:

Number of post-it's = 6*100=600+4*10+4+3=647post-its

express the following as percents a)15 girl out of 75 pupils​

Answers

I think the answer is 20%

whats 20,973 rounded to the nearest thousand​

Answers

Answer:

21000

Step-by-step explanation:

21000

100 POINTS!!! Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Multiply or divide as indicated. Leave your answer with no factors in the denominator.

p^-4 q^5 r^6 / p^-3 qr^-2

Answers

Answer:

[tex]\dfrac{q^{4} r^8}{p}[/tex]

Step-by-step explanation:

Given expression:

[tex]\dfrac{p^{-4}q^5r^6}{p^{-3}qr^{-2}}[/tex]

Separate the variables:

[tex]\implies\dfrac{p^{-4}}{p^{-3}} \times \dfrac{q^5}{q} \times \dfrac{r^6}{r^{-2}}[/tex]

[tex]\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]

[tex]\implies p^{(-4-(-3)} \times q^{(5-1)} \times r^{(6-(-2)}[/tex]

[tex]\implies p^{(-4+3)} \times q^{(5-1)} \times r^{(6+2)}[/tex]

[tex]\implies p^{-1} \times q^{4} \times r^8[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:[/tex]

[tex]\implies \dfrac{1}{p} \times q^{4} \times r^8[/tex]

Simplify:

[tex]\implies \dfrac{q^{4} \times r^8}{p}[/tex]

[tex]\implies \dfrac{q^{4} r^8}{p}[/tex]

expressions that have 2\3 as a product.

Answers

The expression that have 2\3 as a product are 4/5 × 5/6  and 6/7 × 7/9 which is option (a) and (e) .

An expression in maths could be a sentence with a minimum of 2 numbers/variables and a minimum of one maths operation in it.An expression could be a combination of terms that are combined by victimization mathematical operations like subtraction, addition, multiplication, and division.

(a) 4/5 × 5/6 = 20/30

                     = 2 /3

(b) 7/8 × 9/10 = 63 / 80

(c) 1/3 × 2/3 = 2 /9

(d)  3/4 × 7/12 = 21 / 48

                       = 7 / 16

(e) 6/7 × 7/9 = 42 /63

                    = 6 / 9

                    = 2 / 3

Only the expression (a) and (e) have  2\3 as a product.

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The complete question is given below :

Choose all the expressions that have 2\3 as a product.

(a) 4/5 × 5/6

(b) 7/8 × 9/10

(c) 1/3 × 2/3

(d) 3/4 × 7/12

(e) 6/7 × 7/9

In the word grapefruit , the ratio of vowels to consonants is 2 : 3

Answers

Answer:

pineapple: 4:5strawberry: 3:7

Step-by-step explanation:

You want the ratio of vowels to consonants in each of the words "pineapple" and "strawberry."

Ratio

To form the reduced ratio vowels:consonants, we need to identify the type of letter each is. Here we use bold to identify the vowels.

  pineapple4:5

  strawberry3:7 . . . . counting "y" as a vowel

Select the lesser of The two given numbers -152, 12

Answers

Answer:

-152

Step-by-step explanation:

-152 < 12

-152 is negative, which means it is less than 1.

12 is positive, which means it is greater than 1.

Therefore, -152 is the lesser of the two given numbers.

Have a great rest of your day! :)

Hi!

-152 is less than 12, because:

It's negative, and 12 is positive!It's to the left of 12 on the number line!

[tex]\mathbb{NUMBER \ LINE}[/tex]

[tex]_ < \!\!\!\rule{300}{1}\!\!\!_ >[/tex]

     [tex]-152[/tex]                                                                         [tex]12[/tex]

Cheers!

Have a nice day!

I hope this helps!

How long does it take $450 to double at a simple interest rate of 14%? Express your answer in months. Round to the nearest whole number.

Answers

The number of months so that the investment gets double will be 86 months.

What is simple interest?

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on. The amount is given as,

A = P + (PRT)/100

Where P is the principal, R is the rate of interest, and T is the time.

The principal amount is $450 and if the amount gets doubled, then the value of the amount will be $900. The simple interest rate is 14%. Then the time is given as,

A = P + (PRT)/100

900 = 450 + [450 x 14 x T] / 100

450 = 450 x 14 x T / 100

T = 100 / 14

T = 7.14 years

T = 7.14 x 12

T = 85.7 ≈ 86 months

The number of months so that the investment gets double will be 86 months.

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Identify the y-intercept for each function and determine which function has the greater y-intercept. Please help me!

Answers

0x and 4y because on the graph the line is there the intercept will meet so it’s (0,4)

It is the end of the budgeting period for John​ Smith, and he has ​$500 left in his budget for car rental expenses. He plans to spend this budget on a sales trip throughout the country. He will rent a car that costs ​$50 per day and ​$ 0.50per​ mile, and he can spend no more than 500

Answers

The number of miles that John Smith can travel with his budget if he has ​$500 left in his budget for car rental expenses is 900 miles.

How to calculate the expression?

Amount left in the budget = $500

Since he will rent a car that costs $50 per day and $ 0.50per mile, the expression will be:

50 + 0.50m = 500

where m  = number of miles

Collect like terms

0.5m = 500 - 50

0.5m = 450

Divide

m = 450/0.5

m = 900

Therefore, the number of miles that John Smith can travel with his budget is 900 miles.

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Ronnie is playing a card game where the goal is to get the lowest possible score. In
the first round, Ronnie scored -6 points. In the second round, he scored -12 points.
What is Ronnie's total score

Answers

-18. This is because -12+-6 = -18

(e) For what value(s) of x is f(x) = 0?

Answers

Step-by-step explanation:

For the value of x = 0 then the f(x) will became f(o) = 0

Wheat Corporation pays for shares to acquire ​% common stock of Grain​ Investments, Inc. on January​ 5, 2018. Wheat Corporation sells shares for on January​ 6, 2018. Which of the following is the correct journal entry for the transaction on January​ 6, 2018?​ (Round any intermediate calculations to two decimal​ places, and your final answer to the nearest​ dollar.)

Answers

Marketable securities are 63,360 credits (refer to the table below for journal entries).

What are journal entries?A journal entry is an act of keeping or making records of any economic or non-economic transaction.An accounting journal, which shows a company's debit and credit balances, records transactions. The journal entry can be made up of multiple recordings, each of which is either a debit or a credit. Otherwise, the journal entry is considered unbalanced if the total of the debits does not equal the total of the credits.

So,

The following can be deduced from the information provided in the question:

The purchase price per share will be as follows:

= $528,000/100,000= $5.28

The share price will be as follows:

= $54,000/12,000 = $4.50

The following is the loss on the sale of marketable securities:

= 12,000 x (4.50 - 5.28)= 12,000 × 0.78= $9,360

Then, the journal entries are: (Refer to the table below)

Therefore, marketable securities are 63,360 credits (refer to the table below).

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The correct question is given below:
Wheat Corporation pays $ 528 comma 000 for 100,000 shares to acquire 45​% common stock of Grain​ Investments, Inc. on January​ 5, 2018. Wheat Corporation sells 12 comma 000 shares for $ 54 comma 000 on January​ 6, 2018. What is the correct journal entry for the transaction on January​ 6, 2018?​ (Round any intermediate calculations to two decimal​ places, and your final answer to the nearest​ dollar.)

A rental car company charges $71.02 per day to rent a car and $0.12 for every mile
driven. Lily wants to rent a car, knowing that:
She plans to drive 475 miles.
. She has at most $390 to spend.
.
What is the maximum number of days that Lily can rent the car while staying within
her budget?

Answers

Answer:

Step-by-step explanation:

4 is the maximum number of days.

Using Inequality, the maximum number of days that Lily can rent the car while staying within her budget is 4 days.

How to find the maximum number of days she can rent the car?

The rental car company charges $71.02 per day to rent a car and $0.12 for every mile driven.

Lily wants to rent a car and she plans to drive 475 miles. She has a budget of $390.

Therefore, the maximum number of days that Lily can rent the car while staying within her budget can be calculated as follows:

Using inequality,

total cost = 71.02(x) + 0.12(y)

where

x = number of days

y = number of miles

Therefore,

71.02x + 0.12(475) ≤ 390

71.02x ≤ 390 - 57

71.02x ≤ 333

x ≤ 333 / 71.02

x ≤ 4.68882005069

Therefore,

she can drive maximum of 4 days.

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which statements about doubling in investment are true check all that apply an investment of $5000 will double in six years at an annual compound interest rate of 12% An investment of $1000 will double at an annual compound interest rate of 18% in six years an investment of $350 will double in nine years At a compound interest rate of 8% an investment of $2000 will double at a simple interest rate of 5% in 20 years and investment of $700 will double in 12 years at a simple interest rate of 6%

Answers

The following statement are true:

An investment of $5,000 will double in 6 years at an annual compound interest rate of 12%.An investment of $350 will double in 9 years at a compound interest rate of 8%. An investment of $2000 will double at a simple interest rate of 5% in 20 years.

What is rule 72?

It's an easy way to calculate just how long it's going to take for your money to double. Just take the number 72 and divide it by the interest rate you hope to earn. That number gives you the approximate number of years it will take for your investment to double.

Using the formula

time for doubling money= 72/R

First, An investment of $5,000 will double in 6 years at an annual compound interest rate of 12%.

So, 72/12 = 6 years

Thus, It will take 6 years to double the investment. This statement is true.

Second, An investment of $1000 will double at an annual compound interest rate of 18% in 6 years.

So, 72/18 = 4 years

Thus, It will take 4 years to double the investment. This statement is not true.

Third, An investment of $350 will double in 9 years at a compound interest rate of 8%.

so, 72/8= 9 years.

Thus, It will take 9 years to double the investment. This statement is true.

Fourth, An investment of $2000 will double at a simple interest rate of 5% in 20 years.

So, interest = PRT/100

I  = (2000 × 0.05 × 20)

I = $2000

Thus, This statement is true.

Fifth, An investment of  $700 will double in 12 years at a simple interest rate of 6%

Interest = ( 700 × 0.06 × 12 ) = $504

Amount after 12 years

=700 + 504

= $1204.

Thus, This statement is not true.

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An English instructor asserted that students' test grades are directly proportional to the amount of time spent studying.
Lisa studies 6 hr for a particular test and gets a score of 76. At this rate, how many hours would she have had to
study to get a
score of 91?

Answers

Answer:

7.18421051

Step-by-step explanation:

76 ÷ 6 = 12.6666667

91 ÷ 12.6666667 = 7.18421051

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Draw LMN with vertices L(2,-2), M(7,-3), and N(5,2). Find the coordinates of the vertices after a 90 degree rotation about the origin and about each of the points​ L, M, and N.

Answers

The rotation of the vertices L(2,-2), M(7,-3), and N(5,2) are L'(-2, -2), M'(-7, -3), and N'(5, 2) respectively.

How does rotation by 90 degrees changes coordinates of a point if rotation is with respect to origin?

Let the point be having coordinates (x,y).

If the point is in first quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

We know that the rotation of a point (x,y) about the origin by 90° is (-y,x).

Given vertices of ΔLMN are  L(2,-2), M(7,-3), and N(5,2).

Let consider the rotations of L, M, and N are L', M', and N' respectively.

The rotation of a point L(2,-2)  about the origin by 90° is L'(-2,-2).

The rotation of a point M(7,-3) about the origin by 90° is M'(-7,-3).

The rotation of a point N(5,2) about the origin by 90° is N'(5,2).

Hence, the points  L'(-2, -2), M'(-7, -3), and N'(5, 2) are the rotation of vertices.

Therefore, L, M, and N of ΔLMN about the origin by 90°.

Hence, The rotation of the vertices L(2,-2), M(7,-3), and N(5,2) are L'(-2, -2), M'(-7, -3), and N'(5, 2) respectively.

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THE TRIANGLE SHOWN HERE IS REFLECTED IN X-AXIS AND THEN IN Y-AXIS. WRITE THE FINAL COORDINATES OF TRIANGLE:

Answers

Answer:

Option 4

Step-by-step explanation:

This is the same as a rotation of 180° about the origin, which means we can negate the x and y coordinates of the preimage to get the coordinates of the image.

Answer these 3, please. ( Statistics )

Answers

1) This narrative is an example of a sample survey.

2) This narrative is an example of an experiment.

3) This narrative is an example of an observational study.

What is the type of Statistical study?

There are some common methods of data collection in statistical studies which are sample survey, observational study, experiments e.t.c

A sample survey is a survey that is done by taking a sample of people or items that represent a larger population.

An observational study is a type of study whereby a researcher utilizes observed information to gain more information about a group of individuals.

An experiment is where a researcher purposely applies different treatments to different groups and then does a comparison of  the groups to determine if there is any difference in a specific variable of interest.

1) This narrative is an example of a sample survey because he studied a sample of 50 people who exercise regularly to determine if their blood pressures are low or average.

2) This narrative is an example of an experiment because we see that he studies 20 people who exercise and another 20 who don't exercise and uses the result to generate a conclusion about both groups.

3) This narrative is an example of an observational study because he is using the information he gets from the question he asks every fifth patient to learn about a group of individuals.

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6216÷21 please show me the work

Answers

Therefore, on dividing 6216 by 21 we get 126

Given 6216 / 21

21 ) 6216 ( 296

      42

(-)...................     (By subtracting these two numbers we get )

      201            

       189

(-)..................    

          126

          126

.(-)..........................

            0

Therefore 6216 / 21 = 126

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what is an equation of the line that passes through the points (0,8) and (5,2)

Answers

Answer:

y=-3/2x+6

Step-by-step explanation:

You will need to find the equation of the line in slope-intercept form y=mx+b.

First, find the slope m using slope formula m = (y_2-y_1)/(x_2-x_1) which is m=(6-(-6))/(0-8)=-12/8=-3/2

Now that you found the slope, your equation intercept form looks like y=-3/2 x+b.

Both points (8, -6) and (0.6) belong to this line, therefore both points coordinates satisfy line above which means: 6=-3/2(0)+b (i used second point here)

Solving for b we will get y intercept which is b=6

Finally, the line that passes through points (8,-6) and (0,6) has equation: y=-3/2 x + 6
hopefully this helps! :)


Write the expression. Then, check all that apply.

twice the difference of a number and six

Answers

The algebraic expression for the given statement is: 2(n - 6).

How to Write an Algebraic Expression?

To translate the statement, "twice the difference of a number and six", follow the steps below:

The two operations we would use are multiplication and subtraction.

The constants are 2 and 6.

Twice is translated as 2  ×, (-) is "difference".

Let the number be "n" .

The difference of a number, n, and 6, would be: n - 6.

Therefore, we would have the following algebraic expression: 2(n - 6).

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Buster's dog house is 3 feet long, 2 feet wide, and 2 feet high. how much space would there be if buster's house were twice as long

Answers

there woldbe 96 volume

Step-by-step explanation:

to find the volume you have to multiply width x lenghth x height

so set up your equation like this -

3 x 2 x 2

the times everything by 2 so it will now look like this -

6 x 4 x 4

then solve and get the answer 96



Tony's Used Car Dealership is selling a car for $12,000. This price represents a 20%
reduction from the original price of the car. What was the original price of the car?

Answers

The original price of the car is $15,000

Let us assume the original price of car be x. So, forming the equation to find the value of x and hence the original price of the car.

Equation -

x - 20% × x = 12000

x - 20/100×x = 12000

Cancelling zero as common in both numerator and denominator, on the left hand side of the equation

x - x/5 = 12000

Taking LCM on Left Hand Side of the equation

(5x - x)/5 = 12000

Rewriting the equation

4x = 12000 × 5

Performing multiplication on Right Hand Side of the equation

4x = 60,000

x = 60,000 ÷ 4

Performing division

x = 15,000

Therefore, the original price of the car is $15,000.

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The angles of a triangle add up to 180 degrees.
The second angle is 20 degrees larger than the smallest angle.
The third angle is 3 times as big as the smallest angle.
Find the measure of the smallest angle (in degrees).

Answers

Answer:

  32 degrees

Step-by-step explanation:

You want the smallest angle of a triangle in which the other two angles are 20 degrees larger than the smallest, and 3 times the smallest.

Setup

The sum of angles is 180 degrees. The three angles are x, (x+20), and (3x). Their sum is ...

  x +(x +20) +3x = 180

Solution

Collecting terms gives ...

  5x +20 = 180

  5x = 160 . . . . . . subtract 20

  x = 32 . . . . . . divide by 5

The smallest angle is 32 degrees.

If a family has 5 children, in how many ways can the parents have 2 boys and 3 girls as children?

Answers

Considering the definition of combination,  if a family has 5 children, in 10 ways the parents can have 2 boys and 3 girls as children.

What is combination

Combinations of m elements taken from n to n (m≥n) are called all the possible groupings that can be made with the m elements in such a way that not all the elements enter; the order does not matter and the elements are not repeated.

To calculate the number of combinations, the following expression is applied:

[tex]mCn=\frac{m!}{n!(m-n)!}[/tex]

where "!" indicates the factorial of a positive integer, which is defined as the product of all natural numbers before or equal to it.

Ways the parents have 2 boys and 3 girls

If a family has 5 children, you can know that:

Among the 5 children, 3 are boys = 5C3 = [tex]\frac{5!}{3!(5-3)!}[/tex]= [tex]\frac{5!}{3!2!}[/tex]Among the 5 children, 2 are girls = 5C2 = [tex]\frac{5!}{2!(5-2)!}[/tex]= [tex]\frac{5!}{2!3!}[/tex]

So, you can observe that 5C3 is equal to 5C2. Then:

5C3 = 5C2 = [tex]\frac{5!}{3!2!}[/tex]= 10

Finally, if a family has 5 children, in 10 ways the parents can have 2 boys and 3 girls as children.

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Which of the following is an existential quantifier?
Oa) Few
Ob) None
Oc) Every
O d) All

Answers

Answer:

A

Step-by-step explanation:

It might be the best one!

A is going to be the answer
Other Questions
a 46-year-old man is currently enrolled in a phase 2 study of a drug for severe diabetic neuropathy. while the study is on-going, a new drug becomes carlys cupcakes calculated $10,000 in depreciation expense for its baking equipment in the first quarter. what is the adjusting journal entry carly must record to recognize this expense? My mom plans to drop off Uncle Eric at the airport as he begins his trip to Europe. Find the missing number so that the equation has no solutions.x+1=2x6 Select all the correct answers. a scientist carried out several different procedures, each of which caused a change in matter. select each procedure that is likely a chemical change. salt crystals were crushed into a fine powder. bubbles were produced when iron was placed in acid. two liquids were combined, and a solid appeared. a piece of metal melted when it was heated. a white substance turned blue when water was added. A shop displays a total of 50 type A and type B mice. The cost of a type A mouse is $6 and that of a type B mouse is $13. If the total cost of all 50 mice is $433, find the number of type A mice displayed. The answers is 31 Write a letter to your sister who lives in another part of the country, telling her about all that has happened.In your letter you should cover the following points: Which equation represents a line through (4, -6) and (0, 2)? Have you ever been to a zoo? You were probably able to see many animals that you had only ever seen in a science textbook. The experience you had at the zoo was probably memorable and taught you things you never knew before.Zoos allow animals to live in a safe environment. These animals do not have to worry about the threat or stress of predators. They do not have to deal with the irritation or pain of injuries and illnesses that they would if they lived in the wild. Animals in the zoo are given top-quality treatment when they are hurt or in need of special care. The animals are hydrated and fed, and zookeepers are sure to give them a high-quality diet with all the nutrients needed. A good zoo provides great care and protection for the animals in their care. Because there are many species of animals in danger of going extinct, zoos provide an even more important role in our world. Zoos help protect species going extinct. A species that is kept in captivity is a zoos effort to help rebuild the population. Once the population is rebuilt, the zoos can reintroduce the animals to the wild. Without zoos, many more species would be extinct. When an animal species is extinct, there is no new research that can be done. Many children and adults enjoy seeing animals in person. Kids learn seeing, hearing, smelling and watching what an animal does. This allows humans to have a greater understanding of animal species that they would never have had the chance to learn about if zoos did not exist. When we as humans have opportunities to learn about the animals on our planet, we can make the right decisions in order to keep our ecosystems successfully functioning.1. What is the authors message? In the other circles (4), write the authors evidence and reasons you found in the text.2. Why did the author write this?3. Find one sentence that supports the authors claim that zoos are an enjoyable experience for visitors.4. What claim is the author making in paragraph 2?5. Find one piece of evidence that supports your answer to #4. The sum of three lengths of a fence ranges from 45 to 60 inches. Two side lengths are 9 and 18 inches. If the length of the third side is x inches, write and solve a compound inequality to show the possible lengths of the third side. a. 9 x 18 b. 18 x 33 c. 36 x 42 d. 45 x 60 cos x + sin x tan x = sec x ill give uu crown if you answer this for me please help Use the following statement to answer ALL three parts of the question. Statement: If two angles are supplementary, then the angles are a linear pair please helpidentify the process shown below and explain how it works (use the picture/file to help you with this question)thank you solve pls brainliest what is negative 8 = x over 2.5 minus 6 identify the major product for which france would lend the colonies money during the revolutionary war in america. Which one of the following is insoluble in water ethical leadership approaches are concerned with the character of leaders, the duties they serve, the decisions they make, and the outcomes they produce. your companys financial year starts in february and ends in january. as the administrator, what must be done to make sure this is reflected in salesforce? (choose 2)