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Crazy boy [7]
3 years ago
13

Help Fast! Answer in The Picture Below!

Mathematics
1 answer:
o-na [289]3 years ago
7 0

Answer:

D. 912 square inches.

hope that helps!

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The ratio of the number of Victor’s tools to the number of Ilya’s tools is 5:2. Victor has 42 more tools than Ilya. How many too
irga5000 [103]

Answer:

Victor gives 28 tools to IIya.

Step-by-step explanation:

Consider the provided information

The ratio of the number of Victor’s tools to the number of Ilya’s tools is 5:2

Let V represents the Victor and I represent llya

Therefore,

\frac{V}{I} = \frac{5}{2}

It is given that Victor has 42 more tools than Ilya.

\frac{V}{I} = \frac{5}{2}=\frac{42+I}{I}

Solve the above equation.

\frac{5}{2}=\frac{42+I}{I}

5I=84+2I

3I=84

I=28

Thus, IIya has 28 tools.

Victor has 42 more tools than Ilya. Therefore 42 + 28 = 70.

Victor has 70 tools.

We want to find the number of tools victor needs to give to IIya so that the ratio of the number of Victor's tools to the number of Ilya’s tools will be 3:4

Let Victor gives x tools to IIya. Thus,

\frac{3}{4}=\frac{70-x}{28+x}

3(28+x)=4(70-x)

84+3x=280-4x

7x=196

x=28

Hence, Victor gives 28 tools to IIya.

4 0
4 years ago
The sum of three numbers $x$ ,$y$, $z$ is 165. When the smallest number $x$ is multiplied by 7, the result is $n$. The value $n$
babymother [125]

You're given

<em>x</em> + <em>y</em> + <em>z</em> = 165

7<em>x</em> = <em>n</em>

<em>n</em> = <em>y</em> - 9

<em>n</em> = 9 + <em>z</em>

and you want to find <em>xyz</em>.

Solve the last three equations for <em>x</em>, <em>y</em>, and <em>z</em> :

7<em>x</em> = <em>n</em>   →   <em>x</em> = <em>n</em>/7

<em>n</em> = <em>y</em> - 9   →   <em>y</em> = <em>n</em> + 9

<em>n</em> = 9 + <em>z</em>   →   <em>z</em> = <em>n</em> - 9

Substitute <em>x</em>, <em>y</em>, and <em>z</em> into the first equation and solve for <em>n</em> :

<em>n</em>/7 + (<em>n</em> + 9) + (<em>n</em> - 9) = 165

<em>n</em>/7 + 2<em>n</em> = 165

<em>n</em> + 14<em>n</em> = 1155

15<em>n</em> = 1155

<em>n</em> = 77

Now solve for <em>x</em>, <em>y</em>, and <em>z</em> :

<em>x</em> = 77/7 = 11

<em>y</em> = 77 + 9 = 86

<em>z</em> = 77 - 9 = 68

Then the product is

<em>xyz</em> = 11 • 86 • 68 = 64,328

6 0
3 years ago
Which value is not equivalent to the other's​
maxonik [38]

Answer:

The one that is not equivalent to the others is:

2 + 2 + 2 + 2 + 2

Step-by-step explanation:

this is because all of the other ones are equal to 32. This one equals to 10.

7 0
3 years ago
The area of a rectangle is 247.2 m2. If the length is 15 m, what is the perimeter of the rectangle?
Leni [432]

Answer:

62.96

Step-by-step explanation:

P=2l+2A

l=2·15+2·247.2

15=62.96m

8 0
3 years ago
Eight friends share 64 tickets to the school carnival. Each friend has the same number of tickets. How many tickets does each fr
Nookie1986 [14]

Answer:

8

Step-by-step explanation:

64 divided by 8 is 8

6 0
3 years ago
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