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ladessa [460]
3 years ago
13

What is the answer to this question 4(5x+30)=100?

Mathematics
1 answer:
Over [174]3 years ago
4 0

Answer: x = -1

Step-by-step explanation: To solve this equation, we start by distributing the 4 through the parentheses on the left side.

So we have 4 times 5x which is 20x and 4 times 30 which is 120.

So our equation now reads 20x + 120 = 100.

Solving from here, we subtract 120 from both sides of the equation and we have 20x = -20 and dividing both sides by 20, we find that <em>x = -1</em>.

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Darya [45]
I believe the answer is 5. I multiplied 5 to -4 and that’s -20 and I’m guessing since slope-intercept form is y=Mx+b I’m thinking b=4 and the slope being 5 matches the output. -16=5(-4)+4
4 0
3 years ago
Which of the following is a binomial?. c2 + c + 6. c2 - 16. -8c. c3 + 4c2 - 12c + 7. Which of the following is a monomial?. c2 +
vlabodo [156]
A monomial has one term, binomial has two terms, trinomial has three terms, and a polynomial has four or more terms.

Therefore, in the first question, c2-16 is the binomial while -8c is the monomial in the second question.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

7 0
3 years ago
A intercept of 2 and slope of 1/6
Katen [24]

Answer:

what is your question though. if its create an equation, its

y = 1/6x + 2

3 0
3 years ago
The length of each side of an equilateral triangle is increased by 20%, resulting in triangle ABC. If the length of each side of
kompoz [17]

Answer: Area of ΔABC is 2.25x the area of ΔDEF.

Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as

A=\frac{\sqrt{3} }{4} a^{2}

with a as side of the triangle.

Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:

a₁ = 1.2a

Then, its area is

A_{1}=\frac{\sqrt{3} }{4}(1.2a)^{2}

A_{1}=\frac{\sqrt{3} }{4}1.44a^{2}

Triangle DEF is 20% smaller than the original, which means its side is:

a₂ = 0.8a

So, area is

A_{2}=\frac{\sqrt{3} }{4} (0.8a)^{2}

A_{2}=\frac{\sqrt{3} }{4} 0.64a^{2}

Now, comparing areas:

\frac{A_{1}}{A_{2}}= (\frac{\sqrt{3}.1.44a^{2} }{4})(\frac{4}{\sqrt{3}.0.64a^{2} } )

\frac{A_{1}}{A_{2}} = 2.25

<u>The area of ΔABC is </u><u>2.25x</u><u> greater than the area of ΔDEF.</u>

7 0
3 years ago
Find the direct variation equation
joja [24]

Answers:

  • The direct variation equation is y = 5x
  • If x = 4, then y = 20

=================================================

Explanation:

Let's say that the letter k replaces the green box

We have the equation y = kx

Plug in (x,y) = (7,35) to get the equation 35 = k*7

Dividing both sides by 7 leads to k = 5

Therefore, the direct variation equation is y = 5x

We can check this by plugging in x = 7

y = 5x

y = 5*7

y = 35

So x = 7 leads to y = 35 as expected.

-------------

Do the same for x = 4

y = 5x

y = 5*4

y = 20 when x = 4

Side note: direct variation equations always go through the origin.

6 0
3 years ago
Read 2 more answers
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