A 6 foot tall tent standing next to a cardboard box casts a 9 foot shadow. If a cardboard box cast a shadow that is 6 feet long then how tall is

Answer:

It would be $281.60

Step-by-step explanation:

Complete question :

A man has a garden measuring 40m by 24m. He wants to divide it equally into the minimum number of square plots. what is the length of each square plot?

Answer:

8 m

Step-by-step explanation:

Given that :

Dimension of garden = 40m by 24m

Length of garden = 40m

Width of garden = 24m

To Obtain the length of each square plot if the garden is divided into minimum number of square plots ; we take the highest common factor of the dimension:

Length (40) = 1, 2, 4, 5, 8, 10, 20, 40

Width (24) = 1, 2, 3, 4, 6, 8, 12, 24

The highest common factor here is 8 ;

Thus, the length of each square plot is 8m

Answer:

1. 1

2. 1/12

3. 3 1/6

Step-by-step explanation:

Solution for #1. First, you have to get a common denominator. Here, that would be 6. In order to give 1/2 a denominator of 6, you will need to multiply the numerator and the denominator by 3. That will give you 3/6. Add that to the other 3/6 (3/6+3/6) which equals 6/6 which can be simplified to 1.

Solution for #2. This is just like #1.  First, you have to get a common denominator. Here, that would be 12. In order to give 1/3 a denominator of 12, you will need to multiply the numerator and the denominator by 4. That will give you 4/12. Then, to give 1/4 a denominator of 12, you will need to multiply the numerator and the denominator by 3. That will give you 3/12. Then, subtract (4/12-3/12). You will get an answer of 1/12.

Solution for #3. This is slightly different from the others, I has two more steps. First, you need to changed the mixed fractions into improper fractions. You will get 17/3 and 5/2. Then, you have to get a common denominator. Here, that would be 6. In order to give 17/3 a denominator of 6, you will need to multiply the numerator and the denominator by 2. That will give you 34/6. Then, to give 5/2 a denominator of 6, you will need to multiply the numerator and the denominator by 3. That will give you 15/6. After that, subtract (34/6-15/6). You should get 19/6. Finally, divide 19/6 and you should get 3R1. So, the mixed fraction version of 19/6 is 3 1/6 (I did this by using the 3 from 3R1 as the whole number and I just put the remainder of 1 over 6 as the fractional part). You can multiply to check your answer.

Answer:

x = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

-9x + 1 = -x + 17

Step 2: Solve for x

8 goes into 70 exactly 8 times, with a remainder of 6.

When dividing 70 by 8, we follow these steps:

Divide the first digit of the dividend (7) by the divisor (8). In this case, 7 divided by 8 is 0 with a remainder of 7.

Bring down the next digit of the dividend (0) and divide it by the divisor (8). 0 divided by 8 is 0.

Since there are no more digits in the dividend, the division process is complete.

The quotient is the result of the division, which is 8. The remainder is the value left over after division, which is 6 in this case.

Therefore, 8 goes into 70 exactly 8 times, with a remainder of 6.

Learn more about the quotient here:

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Answer:

74.05

Step-by-step explanation:

1st step: plug -3.5 in for all values of x

y = 1/5(-3.5) + 7(-3.5)^2 - 11

2nd step: follow the order of operations by doing (-3.5)^2 to get 12.25

y = 1/5(-3.5) + 7(12.25) -11

3rd step: multiply 1/5 and -3.5 to get -0.7

y = -0.7 + 7(12.25) -11

4th step: multiply 7 and 12.25 to get 85.75

y = -0.7 + 85.75 - 11

Lastly, now that all operations are either addition or subtraction, work left to right

y = 85.05 - 11.00

y = 74.05

When he played outside how many object did he fetch in all is 12+r

An expression is combination of variables, numbers and operators.

Given that Spot fetched 12 sticks and some rocks

Let the rocks be denoted as r

We need to check when he played outside how many object did he fetch in all

The number of sticks are 12

The number of rocks are r

They are asking for total which means we have to sum the number of sticks and number of rocks

12+r

Hence, when he played outside how many object did he fetch in all is 12+r

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Answer: 25

Step-by-step explanation: -5 x 25 + 13 = -112

Answer:

25

Step-by-step explanation:

To find the answer you do the equation backwards.

Since you added 13, subtract 13 from -112

-112 - 13 = -125

-125 / -5 = 25

1. The first number is equal to 2.

2. The second number is equal to 5.

3. The third number is equal to -3.

Translating the word sentence into an algebraic expression, we have;

The sum of three numbers is 4:

[tex]a+b+c=4[/tex]   ....equation 1.

The second number is 1 more than twice the first:

[tex]b=2a+1[/tex]    ....equation 2.

The sum of the first and third is –1:

[tex]a+c=-1[/tex]    ....equation 3.

From eqn. 3, we have:

[tex]c=-1-a[/tex]   ....equation 4.

Substituting into eqn. 1, we have:

[tex]a+2a+1+(-1-a)=4\\\\3a+ 1-1-a=4\\\\2a=4\\\\a=\frac{4}{2}[/tex]

a = 2

To find the value of b:

[tex]b=2a+1\\\\b=2(2)+1\\\\b=4+1[/tex]

b = 5

To find the value of c:

[tex]c=-1-a\\\\c=-1-2\\\\[/tex]

c = -3

Read more: https://brainly.com/question/16049

Answer:

7.2e-8

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

it's 8/12 because there are 8 numbers above 4, you just simplify down to 2/3

Answer:

Should be a 33.33% increase

Step-by-step explanation:

320 divided by 240 to get 1.33, anything above 1 is increase, so its a 33% increase.

Answer:

x = 30

y = 7

Step-by-step explanation:

The triangle given is an equilateral triangle.

Equilateral Triangle

A triangle that has same length of all sides of triangle. They have same congruent internal angles as well.

So, If length of one side = 7

Length of other two sides will also be same i,e 7

Length of 2nd side = 7

Length of 3rd side = 7

Now, finding angles and value of x

The one angle is 2x, so the other two angles will be also 2x (because all angles of equilateral triangle are same)

We know that sum of all sides of angles of triagle = 180

We can write: [tex]2x+2x+2x=180[/tex]

Solving the equation to find x

[tex]2x+2x+2x=180\\6x=180\\x=180/6\\x=30[/tex]

So, x = 30

Since y is not given in picture, I think it is length of other sides i.e y = 7

Answer:

m = -60

b = 300

y = -60x + 300

Step-by-step explanation:

(0,300) and (5,0)

m = y2 - y1/x2 - x1

m = 0 - 300/5 - 0

m = -300/5

m = -60/1

m = -60

y-intercept = b = 300

slope intercept form: y = mx + b

y = mx + b

y = -60x + 300

Answer:

m = -60

b = 300

y = -60x + 300

Step-by-step explanation:

(0,300) and (5,0)

m = y2 - y1/x2 - x1

m = 0 - 300/5 - 0

m = -300/5

m = -60/1

m = -60

y-intercept = b = 300

slope intercept form: y = mx + b

y = mx + b

y = -60x + 300

Step-by-step explanation:

Jack mows 1 lawn in 3 hours

= 1/3 lawn in 1 hour

Marilyn mows 1 lawn in 6 hours

= 1/6 lawn in 1 hour

Together, they can mow 1/3 + 1/6

= 1/2 lawn in 1 hour.

Hence they will need 2 hours to mow the lawn.

Answer:

multiply by 1.81

Step-by-step explanation:

Answer:

-2p² - 9pq + 6q²

Step-by-step explanation:

Add the like terms

p² + - 3p² = -2p²

-7pq + - 2pq = -9pq

-q² + 7q² = 6q²

Let's look at an example.

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Problem:

At a high school play, tickets are sold at two different prices: student prices and parent prices. The student price is $2 while the parent prices is $3. On one night, 145 tickets were purchased and the total revenue was $335.

How many student tickets were purchased? How many parent tickets were purchased?

------------------------------------------

Solution:

Let x be the number of student tickets sold and y be the number of parent tickets sold.

We know that 145 people attended so x+y = 145 is the first equation we can set up. This equation is in standard form since standard form is Ax+By = C. Here we have A = 1, B = 1, C = 145.

The second equation we can form is 2x+3y = 335. This is also in standard form. This time we have A = 2, B = 3, C = 335.

The 2x is the amount of money made from just the students only. The 3y is from the parents only. The expression 2x+3y is the total from both groups. This total is set equal to 335 as this is the amount of money pulled in.

After forming both equations, we can write this system of equations

[tex]\begin{cases}x+y = 145\\2x+3y = 335\end{cases}[/tex]

To solve this system, we could isolate y in the first equation to get y = -x+145. Then plug this into the second equation to solve for x

2x+3y = 335

2x+3(-x+145) = 335

2x-3x+435 = 335

-x = 335-435

-x = -100

x = 100 .... number of student tickets bought

Use this to find y

y = -x+145

y = -100+145

y = 45 .... number of parent tickets bought

We can see that x+y = 100+45 = 145

And also 2x+3y = 2*100+3*45 = 200+135 = 335

These two facts help confirm we have the correct x,y values.

Answer:

The slope of the line is undefined, and the equation of the line is x = 9.

Step-by-step explanation:

Given the points

Finding the slope between (9, 4) and (9, -5)

It is clear that the value of x = 9 is the same in both points.

It means no matter what the value of y is, the value of x remains the same.

It means the line is vertical.

Therefore, the slope of the vertical line is undefined, because the value of x is not changing.

Thus, the slope of the line is undefined, and the equation of the line is x = 9.

Answer:

a) The unit rate for calories per​ cup is 100 calories per cup

b) 200 calories in 2 cups of cereal.

Step-by-step explanation:

A box of cereal states that there are 75 calories in a three fourths 3/4​-cup serving.

a) What is the unit rate for calories per​ cup?

This is calculated as:

3/4 cup = 75 calories

1 cup = x

Cross Multiply

3/4x = 75 calories × 1

x = 75 calories /3/4 cup

x = 75 ÷ 3/4

x = 75 × 4/3

x = 100 calories per cup

The unit rate for calories per​ cup is 100 calories per cup

b) How many calories are there in 2 cups of the​ cereal?

From the above question

3/4 cup = 75 calories

2 cups = x

Cross Multiply

3/4x = 75× 2

x = 150 ÷ 3/4

x = 150 × 4/3

x = 200 calories

There are 200 calories in 2 cups of cereal.

Answer:

-2x^2 + 19x + 5

Step-by-step explanation:

(9x + 5) + (-2x^2 + 10x)

Step 1: remove the parenthesis

9x + 5 - 2x^2 + 10x

Step 2: collect like terms

(9x and 10x are like terms)

19x + 5 - 2x^2

Step 3: rearrange the terms

-2x^2 + 19x + 5

Answer:

Step-by-step explanation:

6 / (3/400)  = ?

6 / 0.0075 = 800

Answer:

h(-2) = 13

h(0) = 9

h(5) = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

h(x) = -2x + 9

x = -2

x = 0

x = 5

Step 2: Evaluate

x = -2

x = 0

x = 5

Answer: answer is C 7

Step-by-step explanation:

So for this problem it is important to know what a median is. The median is essentially the center number when everything is written out. So you want to take your line plot and write out each number on the bottom as many times as a dot appears above it. For this problem that would look like 6, 6, 7, 7, 8, 9, 9. Since you have seven numbers the center would be the 4th one. In ascending order out of these numbers the 7 occurs fourth thus giving you your answer.

Answer:

I'm pretty sure its -11

Answer:

f(3) = -11

Step-by-step explanation:

Substitute 3 in wherever you see an x:

f(3) = -4 * 3 + 1

f(3) = -12 + 1

f(3) = -11

Answer:

Step-by-step explanation:

Remark

This might be easier if you put this into your calculator this way.

40/0.5 + 15

When you do, you get 80 + 15 = 95