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3 years ago

Which equation and solution represents each situation!

Mathematics

1 answer:

bulgar [2K]3 years ago

7 0

Answer:

If they're asking you to round, I'll choose D just because 25.28 is 25.3 rounded to the nearest tenth.

Step-by-step explanation:

79/x=100/32

(79/x)*x=(100/32)*x - we multiply both sides of the equation by x

79=3.125*x - we divide both sides of the equation by (3.125) to get x

79/3.125=x

25.28=x

x=25.28

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Simplify 2 to the fifth power over 3 squared all raised to the fourth power. 2 to the twentieth power over 3 to the eighth power

Sunny_sXe [5.5K]

2 to the fifth power over 3 squared all raised to the fourth power

$\left(\dfrac{2^5}{3^2}\right)^4=\dfrac{(2^5)^4}{(3^2)^4}=\dfrac{2^{5\cdot4}}{3^{2\cdot4}}=\dfrac{2^{20}}{3^8}$

Answer: 2 to the twentieth power over 3 to the eighth power

Used:

$\left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\(a^n)^m=a^{n\cdot m}$

5 0

3 years ago

You work for a company in the marketing department. Your manager has tasked you with forecasting sales by month for the next yea

Natasha2012 [34]

It’s A. when sales increases by 1 unit,

8 0

3 years ago

Write the radius of each circle.

GuDViN [60]

Answer:

1. 6

2. 5

3. 3

4. 7

5. (x-4)2 + (y+3)2 =25

6. x2+ y2 = 36

7. (x-3)2+(y-3)2 = 4

8. x2 + (y+2)2 = 81

Step-by-step explanation:

use formula (x-h)2 + (y-k)2 = r2

where (h,k) is center and r is radius

8 0

3 years ago

If y varies directly as x and z and y=4 when x=6 and z=1 find y when x=7 and z=4

yawa3891 [41]

Answer-

The value of y is $\dfrac{56}{3}$ when x=7 and z=4.

Solution-

As given in the question, y is directly proportional to x, so

$y\propto x$ -----------------1

And also y is directly proportional to z, so

$y\propto z$ -----------------2

Combining equation 1 and 2,

$\Rightarrow y\propto x.z$

$\Rightarrow y=k.x.z$

Where,

k = proportionality constant

When x=6 and z=1, y=4. Putting theses values,

$\Rightarrow 4=k\times 6\times 1$

$\Rightarrow 4=6k$

$\Rightarrow k=\dfrac{4}{6}$

$\Rightarrow k=\dfrac{2}{3}$

Now, we have to find the value of y, when x=7 and z=4

$\Rightarrow y=\dfrac{2}{3}\times 7\times 4$

$\Rightarrow y=\dfrac{56}{3}$

Therefore, the value of y is $\dfrac{56}{3}$ when x=7 and z=4.

6 0

3 years ago

Read 2 more answers

Find sin 0 a 8/15 b 15/8 c 15/7 d 8/17

tester [92]

Answer:

Step-by-step explanation:

7 0

3 years ago