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SVETLANKA909090 [29]

2 years ago

14

Here is a diagram and its corresponding equation. Find the solution to the equation.

2 answers:

Katen [24]2 years ago

5 0

4(x + 7) = 38

Since there is no operation sign between the 4 and parenthesis, it makes it an automatic multiplication problem.

You would use distributive property to multiply each which should leave your equation looking like this afterwards:

4x + 28 = 38
(4 times x and 4 times 7)

You would then solve it like a two step equation,

1. +28 - 28 = 0
2. 38 - 28 = 10

4x = 10

10 divided by 4 = 2.5

x = 2.5

We can recheck our work by substituting in the value of x.

4(2.5 + 7) = 38

10 + 28 = 38

When we substituted in the value, it gave us the correct inequality.

Therefore,
x = 2.5

Agata [3.3K]2 years ago

5 0

Answer:

x = 2.5

Step-by-step explanation:

Hello!
Let's solve the equation together :)

Solve:

4(x + 7) = 38 => Over here, we want to multiply x and 7 by 4, or distribute 4 to both numbers inside the parenthesis.

4(x) + 4(7) = 38 =>See how I split the multiplication apart? That's called the<u> Distributive Property</u>

4x + 28 = 38 => Simplify. Now subtract 28 from both sides

4x = 10 =>Now that we multiply x by 4, we divide both sides to isolate x

x = 10/4 => Simplify

x = 2.5

Your answer is <u>x = 2.5</u>

<u />

<u>Check:</u>

Plug in 2.5 into our equation

4(x + 7) = 38
4(2.5 +7) = 38
4(2.5) + 4(7) = 38
10 + 28 = 38
38 = 38

Both sides match so our answer is correct.

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The temperature in a greenhouse should be 66 degrees or higher. One morning, the heater stopped working. The temperature droppe

erastova [34]

Answer:

The temperature in the greenhouse was at least 68 degrees before the heater stopped working.

Step-by-step explanation:

It was at 68 then it dropped by 2 degrees.

8 0

3 years ago

Sofia has four times as many dollars as her friend jessie has. together the two have $35. how much money do they each have?

garik1379 [7]

4J = s
J + s = J + 4j = 5j = 35

J = 7
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3 0

3 years ago

Wot it's the missing number x9=6x3

vivado [14]

If i'm understanding this question correctly, i believe that it's 2.
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4 0

3 years ago

Read 2 more answers

Find the obtuse angle between the following pair of straight lines.

ioda

Given:

$y=-2$

$y=\sqrt{3}x-1$

To find:

The obtuse angle between the given pair of straight lines.

Solution:

The slope intercept form of a line is

$y=mx+b$ ...(i)

where, m is slope and b is y-intercept.

The given equations are

$y=0x-2$

$y=\sqrt{3}x-1$

On comparing these equations with (i), we get

$m_1=0$

$m_2=\sqrt{3}$

Angle between two lines whose slopes are $m_1\text{ and }m_2$ is

$\tan \theta=\left|\dfrac{m_2-m_1}{1+m_1m_2}\right|$

Putting $m_1=0$ and $m_2=\sqrt{3}$ , we get

$\tan \theta=\left|\dfrac{\sqrt{3}-0}{1+(0)(\sqrt{3})}\right|$

$\tan \theta=\left|\dfrac{\sqrt{3}}{1+0}\right|$

$\tan \theta=\pm \sqrt{3}$

Now,

$\tan \theta= \sqrt{3}$ and $\tan \theta=-\sqrt{3}$

$\tan \theta= \tan 60^\circ$ and $\tan \theta=\tan (180^\circ-60^\circ)$

$\theta= 60^\circ$ and $\theta=120^\circ$

$120>90$ , so it is an obtuse angle and $60$ , so it is an acute angle.

Therefore, the obtuse angle between the given pair of straight lines is 120°.

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azamat

Answer:

nfw

Step-by-sntep explanation:

fwjfba

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2 years ago