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olga nikolaevna [1]
3 years ago
15

If 3y+5=7x, then 21y-49x=?

Mathematics
1 answer:
FromTheMoon [43]3 years ago
3 0
3y+5=7x

3y=7x-5

y=(7x-5)/3

...

21y-49x becomes

7(7x-5)-49x

49x-35-49x

-35
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Erika is working on solving the exponential equation 50x = 17; however, she is not quite sure where to start. using complete sen
Kryger [21]

Erika is working on solving the exponential equation 50^x = 17; The solution is x = 0.7242.

<h3>What is logarithm?</h3>

When you raise a number with an exponent, there comes a result.

Let's say you get

a^b = c

Then, you can write 'b' in terms of 'a' and 'c' using a logarithm as follows

b = \log_a(c)

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

Erika is working on solving the exponential equation 50^x = 17;

however, she is not quite sure where to start.

The equation is

50^x = 17\\

By taking the log both sides

log_a b = x\\\\a_x = b

By using the base formula

log_0 y = \dfrac{logy}{log b}

So, log_{50} 17= x\\\\

x = \dfrac{log17}{log 50}

x = 0.7242

Learn more about logarithm here:

brainly.com/question/20835449

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3 0
2 years ago
Mary ran 2 miles in about 23 minutes. If she continued at the same pace, how long will it take her to run 10 miles?
ZanzabumX [31]

Answer:115 minutes

Step-by-step explanation:

Set you problem 2/23 = 10/x

X represents the number of minutes you are trying to figure out. Cross multiply to get 2x=230. Decide both sides by 2 to get x=115

8 0
3 years ago
Bill wanted to try out different water craft he went 62 mikes downstream in a motor boat and 27 mikes down stream on a jest ski
valina [46]

Answer:

The speed on motorboat is 20 mph

Step-by-step explanation:

here, we want to find the speed on the motorboat

if he has a speed of x mph on the motor boat, his speed on the ski will be (x + 10) mph

The total hours is 4 hours

Mathematically; speed = distance/time

Time on ski is 27/x+ 10

Time on motor boat is 62/x

The addition of both is 4

Thus;

27/(x + 10) + 62/x = 4

27(x) + 62(x + 10) = 4(x)(x + 10)

27x + 62x + 620 = 4(x^2 + 10x)

89x + 620 = 4x^2 + 40x

4x^2 -49x-620 = 0

using the quadratic formula;

{-b ± √(b^2-4ac)}/2a

where a = 4, b = -49 and c = -620

= 49 ± √(-49)^2-4(4)(-620)/8

So we have

49+ 111/8 or 49-111/8

Speed cannot be negative

(49 + 111)/8

= 20 mph

3 0
2 years ago
Is 45 a multiple of 4? Explain your answer.<br> 50
poizon [28]

Answer:

No

Step-by-step explanation:

Because 4 cannat be mutiplyed  into 45

8 0
3 years ago
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tiny-mole [99]

the answer is x=100°

...........

4 0
3 years ago
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