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3 years ago

78 is 15% of what number? Solve using an equation. Show your work.

Mathematics

1 answer:

Phoenix [80]3 years ago

4 0

Answer:

520

Step-by-step explanation:

78 = 15% × (what number)

78/0.15 = (what number) = 520

78 is 15% of 520.

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Solve for x : <img src="https://tex.z-dn.net/?f=%5Cqquad%20%5Crightarrow%5Cbf%204x%20%2B%209x%20%2B%202x%20%3D%2030" id=

Lubov Fominskaja [6]

Answer:

x=2

Step-by-step explanation:

combine like terms to get 15x=30. divide by 15 on both sides to get x=2

4 0

2 years ago

Read 2 more answers

For positive acute angles A and B, it is known that tan A = 35/12 and sin B = 20/29. Find the value of sin(A - B ) in the simple

almond37 [142]

Answer:

$\displaystyle \sin(A-B)=\frac{495}{1073}$

Step-by-step explanation:

We are given that:

$\displaystyle \tan(A)=\frac{35}{12}\text{ and } \sin(B)=\frac{20}{29}$

Where both A and B are positive acute angles.

And we want to find he value of sin(A-B).

Using the first ratio, we can conclude that the opposite side is 35 and the adjacent side is 12.

Then by the Pythagorean Theorem, the hypotenuse is:

$h = \sqrt{35^2 + 12^2} =37$

Using the second ratio, we can likewise conclude that the opposite side is 20 and the hypotenuse is 29.

Then by the Pythagorean Theorem, the adjacent is:

$a=\sqrt{29^2-20^2}=21$

Therefore, we can conclude that:

So, for A, the adjacent is 12, opposite is 35, and the hypotenuse is 37.

For B, the adjacent is 21, opposite is 20, and the hypotenuse is 29.

We can rewrite sin(A-B) as:

$\sin(A-B)=\sin(A)\cos(B)-\cos(A)\sin(B)$

Using the above conclusions, this yields: (Note that since A and B are positive acute angles, all resulting ratios will be positive.)

$\displaystyle \sin(A-B)=\Big(\frac{35}{37}\Big)\Big(\frac{21}{29}\Big)-\Big(\frac{12}{37}\Big)\Big(\frac{20}{29}\Big)$

Evaluate:

$\displaystyle \sin(A-B)=\frac{735-240}{1073}=\frac{495}{1073}$

6 0

3 years ago

Six times a number increased by 5

sergey [27]

I'm not quite sure what you asking here but if your asking how to answer it in "math terms" than I'll be happy to explain :)

So "times" means multiply and "increase" means add so righting this in math terms would be
6x + 5
because it's six times "a number" which you can replace with x!

Let me know if you have any questions :3

7 0

3 years ago

Read 2 more answers

I will give brainliest Select the expression equivalent to

Neko [114]

It’ll be the first one

6 0

3 years ago

The black figure is an ellipse, and the black line segment is is major axis. What is the length of the blue line segment?

NeTakaya

Answer:

Step-by-step explanation: