Mary lives 1 3/4 miles from school. She rode her bycycle to school and back for 5 days. Which expression shows how to estimate the number of miles she rode?

Answers

Answer 1
1 3/4=1.75
1.75*2=3.5 for a day
3.5*5=17.5
She rode 17.5 miles
Answer 2

The expression which represents the number of miles Mary rode in 5 days is 5*(2 + 2).

What is mixed fraction?

A fraction represented with its quotient and remainder is a mixed fraction.

What is expression?

An expression is a number, a variable, or a combination of numbers and variables and operation symbols.

According to the given question.

Distance between Mary's house and school = [tex]1\frac{3}{4} =\frac{7}{4}[/tex]

Number of days Mary rode her bicycle to school and back = 5

⇒ Distance travelled by Mary in one day = [tex]2(\frac{7}{4} )=\frac{7}{2}[/tex]

Therefore, the expression which represents the number of miles she rode in 5 days = [tex]5(\frac{7}{2} )=\frac{35}{2}=17.5 miles[/tex] ≈ 20 miles

Hence, the expression which represents the number of miles Mary rode in 5 days is [tex]5[/tex] *(2+2).

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Related Questions

i hate math ( ◠‿◠ )
help me PLS

Answers

Answer:

g=Xs+t

Step-by-step explanation:

please love math

to learn math, to look for topics you don't know in the internet

the yearly membership to the san diego zoo for a family with 2 adults and 2 children is $144. the regular admission to the zoo is $18 for each adult and $8 for each child. how many times should such a family plan to visit the zoo in a year to make a membership less expensive than paying regular admission?

Answers

The cost of a single visit = 2 x 18 + 2 x 8 = $52
Two visits would cost $104 at regular rate
Three visits would cost $156

If the family visits the zoo more than twice it would be cheaper to have a membership.

Kris drives 30 miles to work. For the first x miles, he drives 40 miles per hour. Then he is stuck in traffic and averages only 3 miles per hour the rest of the way. This expression can be used to find the total time Kris spends commuting: 40(x) + 3(30 - x).

Simplify the expressions.

1. 3(30 – x)


2. 40(x) + 3(30 - x)

Answers

I'm sorry if it's not quite right.

Answer:

1) -3x + 90

=(3)(30+−x)

=(3)(30)+(3)(−x)

=90−3x

=−3x+90

2) 37x+90

=40x+(3)(30)+(3)(−x)

=40x+90+−3x

Combine Like Terms:

=40x+90+−3x

=(40x+−3x)+(90)

=37x+90

27. Write an expression for the perimeter of the figure as the sum of the
lengths of its sides. Then simplify your answer.

Answers

2(a-b) + a +2b +2c + a - 2c
Simplified is
2a-2b +2a + 2b
Leaves a simple 4a for the total perimeter.

The perimeter of the figure is 4a.

What is the perimeter of a polygon?

The perimeter of a polygon is defined as the addition of the lengths of the polygon's each side.

The perimeter of a polygon = sum of all sides

To determine an expression for the perimeter of the figure as the sum of the lengths of its sides.

The perimeter of the figure as

The perimeter of  the figure = sum of all sides

⇒ 2(a-b) + a +2b +2c + a - 2c

Rearrange the likewise terms in the expression

⇒ 2a - 2b +2a + 2b

Apply the arithmetic operations in the expression

⇒ 4a

Thus, the perimeter of the figure is 4a.

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Perimeter?
2cm
55mm
10cm
60mm

Answers

a = 2 cm

b = 55 mm = 5,5 cm

c = 10 cm

d = 60 mm = 6 cm

Perimeter: 2 + 5,5 + 10 + 6 = 23,5 cm

4. Separate 77 into two parts so that one part is 4 less than twice as much as the other. Find each part.​

Answers

Answer:

50,27

Step-by-step explanation:

let the parts be x and y

x+y=77

x=2y-4

substitute

2y-4+y=77

3y=77+4

3y=81

y=81/3=27

x=2×27-4=54-4=50

Are (2,9) and (-3,-6) both on the line y = 4x + 6? If not, find an equation for the line that does pass through both points.

Answers

Answer:

no, y=3x+3

Step-by-step explanation:

plug both points into the equations:

9=4*2 +6 -> 9=8+6, doesn't work-6=4(-3)+6 -> -6=-6, works

one works but the other doesn't so now we find a line through both points

use the formula (y_2-y_1)/(x_2-x_1) to find the slope:

(-6-9)/(-3-2)=-15/-5=3

y=3x+b, plug in a point to find b:

9=3(2)+b9=6+bb=3y=3x+3

An electrician charges $32 per home visit plus an additional $22.75 per hour. He arrives at a costumers home at 9:00am. The final bill for the visit is $128.69. At approximately what time did the electrician Lea e the costumers home?

Answers

Answer:

well since you said 32 per home since that wasnt a hour he was there, i took off 32 from the 128.69 and got 96.69 and divided that by 22.75 and got 4.2 hours but if that's not what you are talking about ill also give the answer for 128.69 divided by 22.75 and the answer for that is 5.6

Step-by-step explanation:

so just add 4.2 or 5.6 to hours and you will get you question at what time he left

is 4.49 a rational number

Answers

Answer:

yes it is

rational number is any number that can be expressed as a ratio of two integers (hence the name "rational"). It can be written as a fraction in which the the top number (numerator) is divided by the bottom number (denominator).

plsmark me brilliant

Construct a line that is perpendicular to
AB and passes through point X.

-I really need help I’m crying at the moment :/

Answers

1) The line will need to be vertical down the point of x, meaning draw a line down point x. Perpendicular lines look similar to t’s
2.) Same thing, just draw a line through point O and the line. They should look similar to t’s
Hope this helped!! I understand math can get really hard, soon it’ll all be over :)

how can i solve it?

8=-6n-2n​

Answers

Simply subtract 2n from -6n getting -8n, leaving the equation to be -8n = 8. To solve for N, divide both sides by -8 leaving N to be equal to -1

Answer:

n=-1

Step-by-step explanation:

Writing out the problem

8=-6n-2n

Simplifying "-6n-2n," which is -8n

8=-8n, or -8n=8

-8n=8

Divide both sides by -8

-8n/-8=8/-8

So, therefore, you get n=-1.

Hope this helps! Enjoy your day, and take care!

After a price increase of 20% the cost of entry to a museum rose to $25.80. Find the original
entry fee

Answers

Answer:

21.5 dollars

Step-by-step explanation:

Suppose the original price is x, then it became x+ x/100*20=1.2x

1.2x=25.8

x=21.5

A new business had a profit of $6,500 in the first month, a loss $1,200 in the second month and a loss of $1,300 in the third month. What is the net profit or net loss over the first three months​

Answers

Answer:

$4000 net profit

Step-by-step explanation:

Profit adds to the net revenue, while loss subtracts from it.

So 6500 is positive but 1200 and 1300 are negative.

+6500 - 1200 - 1300 = 5300 - 1300 = 4000

$4000 profit

Pls help fast, with steps

Answers

Answer:

answer is D

Step-by-step explanation:

PAR = 25

RPA= 25

PRA= 130

PRQ = 180- 130 = 50

PRQ =PQR = 50

X= 180 +(50 +50) =80

Please hurry i need a asnwer

Answers

Answer:

[tex] \frac{5i}{3 + 2i} \times \frac{3 - 2i}{3 - 2i} \\ \frac{15i - 10 {i}^{2} }{9 - 4 {i}^{2} } \\ \frac{15i - 10( - 1)}{9 - 4( - 1)} \\ \frac{15i + 10}{9 + 4} \\ \frac{15i + 10}{13} \\ \frac{10}{13} + \frac{15i}{13} [/tex]

How many HOURS AND MINUTES are in 135 mins? Explain how you found out the answer as you would to a kid in 2ND GRADE. (Use simple words)

Answers

Answer:

There are 2 hours and 15 minutes in 135 minutes

Step-by-step explanation:

We know that 1 hour = 60 minutes, 2 hours is 120 minutes, 3 hours is 180 minutes and so on. What amount of hours is 135 closest too? 2 hours.

Now that we know the amount of hours there is in 135 minutes, we need to find the rest of the minutes. To find this, we need to use subtraction. Subtracting [tex]120[/tex] from [tex]135[/tex] gives us [tex]15[/tex]. So, [tex]135[/tex] minutes is equal to 2 hours and 15 minutes.

Hope this helped you (and others) out! If this answer was too complicated for you, please tell me and I will try to make it more easier to understand!

I need help please please please

Answers

Answer:

SEE IMAGE FOR SOLUTION

Hope it helps

Have a great day

golf activity geometry
use distance formula
HELP PLEASE n explain if you know!

Answers

Answer:

Step-by-step explanation:

Kelly works two jobs. She usually works at a retail store for 7 hours during the day and is paid $23.46 per hour by the store. In the evening she works at a restaurant as a manager for 8 hours and is paid $7.47 per hour, How much does she make on average per hour for the day?​

Answers

Answer:

$14.93

Step-by-step explanation:

she works 7+8=15 hours.

she earns in total per day

7×$23.46 + 8×$7.47 = $223.98

on average she makes per hour

223.98 / 15 = $14.93

She make on average 223.98 per hour for the day.

Given that,

She usually works at a retail store for 7 hours during the day and is paid $23.46 per hour by the store.

In the evening she works at a restaurant as a manager for 8 hours and is paid $7.47 per hour.

We have to determine,

How much does she make on average per hour for the day.

According to the question,

She usually works at a retail store for 7 hours earn = $23.46 per hour.

She works at a restaurant as a manager for 8 hours = $7.47 per hour

Total number of hours she works = 7hours + 8hours = 15hours

Therefore,

She make on average per hour for the day =

7×$23.46 + 8×$7.47 = $223.98

Hence, she make on average 223.98 per hour for the day.

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Write 0.2 as a fraction in simplest form.

Answers

Answer:

It is 1/5

Step-by-step explanation:

0.2 is a decimal ( tenth value [1/10] )

[tex]0.2 = \frac{2}{10} [/tex]

divide the fraction ( numerator and denominator ) by 2:

[tex] = \frac{2 \div 2}{10 \div 2} \\ \\ = \frac{1}{5} [/tex]

Ms. Ferris owns a barn 12 yards long

Answers

Answer:

V = 1188 yd^3

Step-by-step explanation:

The volume or a rectangular prism is given by V = l*w*h V = 12 (9) * 11 V = 1188 yd^3  

Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/6458403-msferris-owns-a-barn-12-yards-long-9-yards-high-and-11-yards.html

geometry help pls
How do you say DE = FG?
can someone explain why

Answers

Answer:

first option

Step-by-step explanation:

congruency has its own symbol and it's a ~ top of a = sign. and the expression doesn't have the symbol. so we can eliminate two options out meaning it's a.

The correct answer would be an option (A) the measure of segment DE is equal to the measure of segment FG.

What are congruent triangles?

Two triangles are said to be congruent if their corresponding sides and angles are equal.

SSS stands for Side-Side-Side criterion. According to this, two triangles are congruent if three sides of a triangle are equal to the corresponding sides of the other triangle.

SAS stands for Side-Angle-Side criterion.  According to this, two triangles are congruent if the two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.

Given that, DE = FG

Congruency is represented by its own symbol, which is a ~ sign on top.

Here, Segment FG's measure is equal to segment DE's measure.

There is no symbol assigned to the expression. Since two possibilities are no longer an option, it must be Option (A).

Hence, the measure of segment DE is equal to the measure of segment FG

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Solve the given equation for X.
X/3 + X/7 = 5/3

Answers

The answer is 7/2
In decimal form it’s 3.5

Answer: x = 3.5

Step-by-step explanation:

Given

x/3 + x/7 = 5/3

Determine the Least Common Multiple (LCM) of the denominators

First 10 multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30

First 5 multiples of 7: 7, 14, 21, 28, 35

Since 21 is the first overlapping term in both lists, therefore, 21 is the LCM of 3 and 7.

Multiply Least Common Multiple (LCM) of the denominators on both sides

21 (x/3 + x/7) = 21 × 5/3

Expand parentheses and apply the distributive property

7x + 3x = 35

Combine like terms

10x = 35

Divide 10 on both sides

10x / 10 = 35 / 10

[tex]\boxed {x=3.5}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

help please asap lol thanks​

Answers

Answer:

3.3

Step-by-step explanation:

Find all the numbers and find the mean

The x means that there are that many of each number

1 + 1 + 2 + 3 + 3 + 4 + 4+ 5 + 5 + 5

33

We have to divide that by the total amount of numbers present

33/10 = 3.3

1+sin^4-cos^4a/1-sin^6-cos^6a=2/3cos^2a​

Answers

Answer:

Step-by-step explanation:

From what I can come up with with no actual factual information is that the equation is

[tex]\frac{1+sin^4x-cos^4x}{1-sin^6x-cos^6x}=\frac{2cos^2x}{3}[/tex] I'm going with that because it actually solves pretty easily, which is usually the way this goes. Begin by cross multiplying:

[tex]3(1+sin^4x-cos^4x)=2cos^2x(1-sin^6x-cos^6x)[/tex] and distribute:

[tex]3+3sin^4x-3cos^4x=2cos^2x-2cos^2xsin^6x-2cos^8x[/tex] and then break up the powers of sin into squared sines:

[tex]3+3[sin^2x*sin^2x]-3cos^4x=2cos^2x-2cos^2x[sin^2x*sin^2x*sin^2x]-2cos^8x[/tex]  and use the Pythagorean identity to change those sines into cosines:

[tex]3+3[(1-cos^2x)(1-cos^2x)]-3cos^4x=2cos^2x-2cos^2x[(1-cos^2c)(1-cos^2x)(1-cos^2x)]-2cos^8x[/tex]

and the FOIL out those terms inside the square brackets:

[tex]3+3[1-2cos^2x+cos^4x]-3cos^4x=2cos^2x-2cos^2x[1-3cos^2x+3cos^4x-cos^6x]-2cos^8x[/tex]

and distribute again on both sides to get rid of the brackets entirely:

[tex]3+3-6cos^2x+3cos^4x-3cos^4x=2cos^2x-2cos^2x+6cos^4x-6cos^6x+2cos^8x-2cos^8x[/tex]

and combining like terms cancels a lot of that out to leave:

[tex]6-6cos^2x=-6cos^6x+6cos^4x[/tex] and get everything on one side to factor:

[tex]0=-6cos^6x+6cos^4x+6cos^2x-6[/tex] and factor out the -6:

[tex]0=-6(cos^6x-cos^4x-cos^2x+1)[/tex] and now we'll factor by grouping, so grouping everything together to get ready for that:

[tex]0=-6[(cos^6x-cos^4x)-(cos^2x+1)][/tex] and begin the factoring:

[tex]0=6[cos^4x(cos^2x-1)-1(cos^2x-1)][/tex] and continuing the factoring:

[tex]0=-6(cos^2x-1)(cos^4x-1)\\0=-6(cos^2x-1)(cos^2x-1)(cos^2x+1)[/tex] and by the Zero Product Property (and we won't list that duplicated factor cuz it's not necessary):

[tex]cos^2x-1=0[/tex]     or       [tex]cos^2x+1=0[/tex]

Solving the first:

[tex]cos^2x=1[/tex] so

x = 0 + 2kπ  and solving the second one:

[tex]cos^2x=-1[/tex] which is not solvable over the real number system.

So x = 0 + 2kπ

and I really hope that's what you were looking for!

n decreased by 35% is 117

find n

show solutions please

Answers

Answer:

According to question, we get the following equation:

n-35% = 117

n-35/100 = 117

(100n-35)/100 = 117 ........... Took LCM

100n-35 = 117*100

100n-35 = 11700

100n = 11700-35

100n = 11665

n = 11665/100

n = 116.65 .......... ANSWER

Convert Decimal to Fraction ​

Answers

Answer:

1. 0.832

832/1000

Can be simplified as

416/500

104/125

2. 1.2

12/10

Can be simplified as

6/5

3. 0.1

1/10

4. 0.459

459/1000

5. 1.51

151/100

6. 0.9

9/10

Which were the required answers

How many sides does an octagon have

Answers

An octagon has 8 sides (the stop sign is an octagon)
it has 8 sides. (think of a stop sign, like the person said above me, i can’t think of no other objects)

Inverse function
G(x)=2x+2

Answers

Answer:

Step-by-step explanation:

y = 2x + 2

x = [tex]\frac{y-2}{2}[/tex]

y = [tex]\frac{x-2}{2}[/tex]

[tex]g^{-1}[/tex] (x) = [tex]\frac{x-2}{2}[/tex]

find the distance between P=(4,7) and Q=(1,3)​

Answers

Answer:

may be 5 unit is the distance is between then

Answer:

5 units

Step-by-step explanation:

use distance formula kid