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4 years ago

Find the volume of a crate with demensions 4ft by 3ft by 2ft.

Mathematics

2 answers:

Ymorist [56]4 years ago

8 0

4•3•2=24
So the volume of the crate would be 24

Llana [10]4 years ago

7 0

24 feet i believe is the answer

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Jarrett wants to buy a really cool car but it costs $4,350 and he doesn’t have a job. The only job he can find will pay him $7.2

den301095 [7]

Answer:

30 weeks

Step-by-step explanation:

7.25 x 20 = 1 WEEK

1 WEEK= 145$

4,350 divided by 145=30

30 weeks

4 0

3 years ago

How many solutions does the system have?

marishachu [46]

Answer:

{x,y} = {-2,2}

Step-by-step explanation:

Solve equation [2] for the variable y

7y = 7x + 28

y = x + 4

Plug this in for variable y in equation [1]

-8x + 4•(x +4) = 24

-4x = 8

Solve equation [1] for the variable x

4x = - 8

x = - 2

By now we know this much :

x = -2

y = x+4

Use the x value to solve for y

y = (-2)+4 = 2

Solution :

{x,y} = {-2,2}

and this intersects at only one point so your answer is A

3 0

3 years ago

Find the area, in square feet, of a triangle whose base is 42⁄3 feet and whose altitude is 84⁄7 feet. A. 135⁄21 B. 20 C. 40 D. 2

CaHeK987 [17]

Answer:

Option B. $20\ ft^{2}$

Step-by-step explanation:

we know that

The area of a triangle is equal to

$A=\frac{1}{2}bh$

we have

$b=4\frac{2}{3}\ ft$

$h=8\frac{4}{7}\ ft$

Convert mixed numbers to an improper fractions

$b=4\frac{2}{3}\ ft=\frac{4*3+2}{3}=\frac{14}{3}\ ft$

$h=8\frac{4}{7}\ ft=\frac{8*7+4}{7}=\frac{60}{7}\ ft$

substitute the values

$A=\frac{1}{2}(\frac{14}{3})(\frac{60}{7})\\ \\A=\frac{14*60}{2*3*7}\\ \\A=\frac{840}{42} \\ \\A=20\ ft^{2}$

5 0

3 years ago

Read 2 more answers

Given a dilation with the origin O (0, 0), by observation determine the scale factor "K."

Paraphin [41]

Answer:

the correct awnser is 3

Step-by-step explanation:

3 0

3 years ago

A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, ther

mariarad [96]

<h2>Answer:</h2>

Recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

<h2>Step-by-step explanation:</h2>

In the question,

The number of interaction for 1 child = 0

Number of interactions for 2 children = 1

Number of interactions for 3 children = 5

Number of interaction for 4 children = 14

So,

We need to find out the pattern for the recursive equation for the given conditions.

So,

We see that,

$a_{1}=0\\a_{2}=1\\a_{3}=5\\a_{4}=14\\$

Therefore, on checking, we observe that,

$a_{n}=a_{n-1}+(n-1)^{2}$

On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.

At,

n = 1

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{1}=a_{1-1}+(1-1)^{2}\\a_{1}=0+0=0\\a_{1}=0$

which is true.

At,

n = 2

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{2}=a_{2-1}+(2-1)^{2}\\a_{2}=a_{1}+1\\a_{2}=1$

Which is also true.

At,

n = 3

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{3}=a_{3-1}+(3-1)^{2}\\a_{3}=a_{2}+4\\a_{3}=5$

Which is true.

At,

n = 4

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{4}=a_{4-1}+(4-1)^{2}\\a_{4}=a_{3}+9\\a_{4}=14$

This is also true at the given value of 'n'.

Therefore, the recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

3 0

3 years ago