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2 years ago

Write an expression that represents the sum of 7 and x.

Mathematics

2 answers:

Otrada [13]2 years ago

7 0

The answer is y=7+x.

kati45 [8]2 years ago

3 0

Answer:

7+x=y

Step-by-step explanation:

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3 years ago

The solid surface area is equal to the solid volume. Find the value of x? The measurements of the rectangular prism is 9 inches

Fudgin [204]

Answer:

$x=7.2$

Step-by-step explanation:

Let x represent height of the prism.

We know that volume of rectangular is equal to product of its height, width and length.

$\text{Surface area of rectangular prism}=2(wl+lh+hw)$ , where w, h and l represents width, length and height respectively.

We have been given that the surface area of rectangular prism is equal to the volume of the prism. So we can set an equation as:

$lwh=2(wl+lh+hw)$

We are also told that the measurements of the rectangular prism is 9 inches long and 4 inches wide. Upon substituting these values in above equation, we will get:

$9\cdot 4\cdot x=2(4\cdot 9+9\cdot x+x\cdot 4)$

Let us solve for x.

$36x=2(36+9x+4x)$

$36x=2(36+13x)$

$36x=72+26x$

$36x-26x=72+26x-26x$

$10x=72$

$x=\frac{72}{10}\\\\x=7.2$

Therefore, the value of x is 7.2 inches.

6 0

2 years ago

Answer if u love cats & dogs

eimsori [14]

Answer:

(7, 5.25) lies on the graph.

Step-by-step explanation:

We are given the following values

x = 4, 6, 8, 12 and corresponding y values are:

y = 3, 4.5, 6, 9

Let us consider two points (4, 6) and (6, 4.5) and try to find out the equation of line.

Equation of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given as:

$y=mx+c$

where m is the slope.

(x,y) are the coordinates from where the line passes.

c is the y intercept.

Here,

$x_{1} = 4\\x_{2} = 6\\y_{1} = 3\\y_{2} = 4.5$

Formula for slope is:

$m = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m = \dfrac{4.5-3}{6-4}\\\Rightarrow m = \dfrac{1.5}{2}\\\Rightarrow m = \dfrac{3}{4}$

Now, the equation of line becomes:

$y=\dfrac{3}{4}x+c$

Putting the point (4,3) in the above equation to find c:

$3=\dfrac{3}{4}\times 4+c\\\Rightarrow 3=3+c\\\Rightarrow c =0$

So, final equation of given function is:

$y=\dfrac{3}{4}x$

$4y=3x$

As per the given options, the point (7, 5.25) satisfies the equation.

So correct answer is $(7, 5.25)$ .

6 0

2 years ago