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3 years ago

What is 1 + 4x = -39 + 6x

Mathematics

2 answers:

Ugo [173]3 years ago

8 0

Answer: $x=20$

Step-by-step explanation:

First, simplify both sides of the equation.

$4x+1=6x-39$

Next, subtract 6x from both sides.

$4x+1-6x=6x-39-6x$

$-2x+1=-39$

Therefore you subtract 1 from both sides.

$-2x+1-1=-39-1$

$-2x=-40$

Finally, divide -2 from both sides.

$\frac{-2x}{-2}=\frac{-40}{-2}$

$x=20$

Hope this helps!

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abruzzese [7]3 years ago

6 0

The answer is x=20! I hope I helped you! :)

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Sally drives 66 miles in 3 hours and Molly drives 72 miles in 4 hours. What is the difference between their average speed, in mi

Scrat [10]

Answer: A

Step-by-step explanation:

Sally: 66/3=22

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5 0

3 years ago

Divide 36 books into two groups so the ratio is 5 to 7. (Use the double number line strategy)

lutik1710 [3]

A ratio of 5:7 means out of 12 books, 5 are in one category and 7 are in another. (The “category” isn’t specified in this problem.)

So here we’re STARTING with 36 books; we want to find a ratio that is equal to 5:7 and adds up to 36. Well 36 = 3(12), and so if we multiply each number in the ratio by 3 as well, we might get what we want. Doing that gives us 15:21, which adds up to 36 and is equal to 5:7. Boom, that’s the answer.

P.S. Here’s a question you can think about: why do ratios stay the same when you multiply each number by the same amount? (For example, why is 3:1 the same as 6:2?)

7 0

2 years ago

Question 7

serg [7]

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

Given - a cone with volume 769?3 ft³ , having a height of 15 ft

To calculate - radius of the cone

We know that ,

$\bold{Volume \: of \: cone = \frac{1}{3}\pi \: r {}^{2} h }\\$

substituting the values in the formula stated above ,

$\bold{769.3 = \frac{1}{3} \times 3.14 \times r {}^{2} \times 15} \\ \\\bold{\implies r {}^{2} = \frac{769.3 \times 3}{3.14 \times 15} } \\ \\\bold{\implies r {}^{2} = \cancel\frac{2307.9}{47.1}} \\ \\\bold{ \implies \: r {}^{2} = 49} \\ \\ \bold{\implies \: r = 7 \: ft}$