MATHEMATICS HIGH SCHOOL

What point on the number line is 1/4 of the way from the point -2 to the point 5

Answers

Answer 1

Answer:

Step-by-step explanation:

From -2 to 5 is a distance of 7 units

1/4 of 7 units = 7/4

add this amount to - 2 to find the point - 1/4

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What is 5x 5 equal to

Please can someone solve 8n + 6 = 4n + 30

Answers

8n - 4n = 4n and 30 - 6 = 24 and 24/4n = 6 so n=6

$8n+6 = 4n+30$

Subtract 6 from both sides:

$8n+6-6=4n+30-6$

$8n = 4n+24$

Subtract 4 n from both sides:

$8n-4n=4n+24-4n$

$4n=24$

Divide both sides by 4 :

$(4n)/(4) = (24)/(4)$

$n = 6$

hope this helps!

Select the correct answer.Which logarithmic equation is equivalent to this exponential equation?
12=5^x

A. x=log↓12 5
B. x=log↓5 12
C. 5=log↓x 12
D. 12=log↓5 x

Answers

Answer: To convert the exponential equation 12=5^x to a logarithmic equation, we can use the following formula:

logb(x) = y

is equivalent to

b^y = x

where b is the base of the logarithm.

In this case, we have:

5^x = 12

which is equivalent to:

log5(12) = x

Therefore, the answer is A. x=log↓12 5.

Consider the following pair of equations:x + y = −2
y = 2x + 10

If the two equations are graphed, at what point do the lines representing the two equations intersect?
(−4, 2)
(4, 2)
(−2, 4)
(2, 4)

Answers

they will intersect at point (-4,2)

Answer:

(-4,2)

Step-by-step explanation:

Find the GCF. 20, 45x

Answers

Here what you can do is list the factors for both terms:
20: 2, 2, 5
45x: 3, 3, 5, x

The only factor that both terms share is 5, so 5 is your GCF.

Yes the GCF of 20 and 45x is 5. Due to the fact that 20: 1 & 20, 2 & 10, 4 & 5 and 45: 1 & 45, 3 & 15, 5 & 9 also only one of them has the variable x so it is not common.

The original price of an electric scooter was $187.50. The scooter was on sale for $165. What was the discount rate?

Answers

so the origiinal price is 187.50 and the sale price was 165, so the discount is 187.50 - 165 = 22.5.

if we take 187.50 to be the 100%, what is 22.5 off of it in percentage?

$\bf \begin{array}{ccll} amount&\%\n \cline{1-2} 187.5&100\n 22.5&x \end{array}\implies \cfrac{187.5}{22.5}=\cfrac{100}{x}\implies 187.5x=2250 \n\n\n x=\cfrac{2250}{187.5}\implies x=12$

Answer: I got 12% after trial an error from 15% down to 12% when i got 165$

How much of a circle does a 100-degree angle turn through?help pls
1. 1
2. 100/180
3. 50/360
4. 100/360
pls help!!!

Answers

Answer:

100/360

Step-by-step explanation:

A complete turn of a circle is 360 degrees

Therefore, 100 degrees turn is 100 out of 360

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at 8:03 am there are 188 empty seats on the train. at 8:10 am there are 160 empty seats. the number of seats decreases by the same amout each minute. (a)what equation can be used to relate the number of minutes after 8:00 am (M) to the number of empty seats on the train (E)? (b)how many seats will be empty at 8:15? (c)at what time will there be 120 empty seats? (d)at what time will there be no empty seats left ?