What is the x-value of the solution for this system<br> 2x+3y=45<br> x+y=10

Find the surface area of the composite figure

Gnoma [55]

Answer:

$=280$ $in^2$

Step-by-step explanation:

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Let's find the surface area of the pink rectangular prism first.

$2*10=20+20=40$

$4*10=40+40=80$

$4*2=8+8=16$

$40+80+16=136$

The surface area for the pink rectangular prism is $136$ $in^2$ .

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Now, let's find the surface area of the green rectangular prism.

$4*7=28+28=56$

$4*4=16+16=32$

$56+56+32=144$

The surface area for the green rectangular prism is 144 $in^2$ .

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Now let's add the surface area of both rectangular prisms to find the surface area of the composite figure.

$136+144=$

$=280$ $in^2$

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Hope this is helpful.

6 0

3 years ago

Read 2 more answers

1. -4x + 5 = 2x - 7<br> 2. 6x - 8 = 4x + 2<br> 3. -3x - 5 = 2x + 10

Svetllana [295]

Answer: 1. x=2

2. x=5

3.x=-3

Isolate the variable by dividing each side by factors that don't contain the variable.

Move all terms not containing x to the right side of the equation.

Hope this helped

7 0

3 years ago

s the data set “types of fruit at the grocery store” qualitative or quantitative? If it is quantitative, is it discrete or conti

Xelga [282]

Discrete and quantitative is also correct so that makes it discrete

7 0

3 years ago

Read 2 more answers

Using the equation y = 3x – 5, what would the output be for an input of 4

SSSSS [86.1K]

The input is the x-coordinate and the output is the y-coordinate. If the input is 4, plug 4 into the x variable to find the output, y.

y=3(4)-5
y=12-5
y=7

The output is 7.

8 0

2 years ago

Read 2 more answers

Help.........................<br><br>

garri49 [273]

<h3>Answer: Choice A</h3>

$x^2\left(\sqrt[4]{x^2}\right)$

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Explanation:

The fourth root of x is the same as x^(1/4)

I.e,

$\sqrt[4]{x} = x^{1/4}$

The same applies to x^10 as well

$\sqrt[4]{x^{10}} = \left(x^{10}\right)^{1/4}$

Multiply the exponents 10 and 1/4 to get 10/4

$\sqrt[4]{x^{10}} = \left(x^{10}\right)^{1/4} = x^{10*1/4} = x^{10/4}$

$\sqrt[4]{x^{10}} = x^{10/4}$

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If we have an expression in the form x^(m/n), with m > n, then we can simplify it into an equivalent form as shown below

$x^{m/n} = x^a\sqrt[n]{x^b}$

The 'a' and 'b' are found through dividing m/n

m/n = a remainder b

'a' is the quotient, b is the remainder

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The general formula can easily be confusing, so let's replace m and n with the proper numbers. In this case, m = 10 and n = 4

m/n = 10/4 = 2 remainder 2

We have a = 2 and b = 2

So

$x^{m/n} = x^a\sqrt[n]{x^b}$

turns into

$x^{10/4} = x^2\sqrt[4]{x^2}$

which means

$\sqrt[4]{x^{10}} = {x^2} \sqrt[4]{x^2}$

7 0

3 years ago

What is the x-value of the solution for this system 2x+3y=45 x+y=10