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TEA [102]
3 years ago
12

What is the solution set for the given inequality if the replacement set for r is {5, 6, 7, 8, 9, 10}? 16 – r > 8

Mathematics
2 answers:
avanturin [10]3 years ago
7 0

5,6,7 is the answer to your question. Hope this helps!!

ss7ja [257]3 years ago
3 0
15-r>8

Minus 15 from both sides

-r > -7

Divide-1 so we can get a positive r, when we divided negative number we flip the sign

r < 7

r={5,6}
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Jeremy’s family wants to rent bicycles. The table shows the cost in dollars, y, of renting a bicycle for x hours.
sveticcg [70]

Answer:

This is a linear function.

Step-by-step explanation:

x is going up by 1 each time

y is going up by 10 each time

it is constant so it is a straight line

5 0
3 years ago
Starting with 54 and 36, replace the 54 with the greatest common divisor of 54 and 36, obtaining a1, and then replace 36 with th
nalin [4]

Answer:

1 time

Step-by-step explanation:

Given numbers are 54 and 36.

The greatest common divisor of 54 and 36 = 18

So, a_1 = 18.

The least common multiple of 54 and 36 = 108

So, b_1 = 108.

As 54 is replaced by a_1 and 36 is replaced by b_1, so after applying the given procedure, the new number is

(a_1, b_1)=(18, 108)\cdots(i)

Now, apply the same procedure, to get a_2 and b_2.

The greatest common divisor of 18 and 108 = 18

So, a_2 = 18.

The least common multiple of 18 and 108 = 108

So, b_2 = 108.

As a_1 is replaced by a_2 and b_1 is replaced by b_2, so after applying the given procedure, the new number is

(a_2, b_2)=(18, 108) which is the same as in equation (i)

Hence, after applying the procedure 1 time after (a_1, b_1), the obtained number (a_2, b_2) is the same as (a_1,b_1).

6 0
3 years ago
What is the similarity ratio of PQR to VXM?
Nastasia [14]

Answer:

3

Step-by-step explanation:

The correct answer is:

3

Explanation

review

△WXY~△GEF.

6

3

6

Y

X

W

2

1

2

F

E

G

What is the similarity ratio of △WXY to △GEF?

Simplify your answer and write it as a proper fraction, improper fraction, or whole number.

If two triangles are similar, their similarity ratio is the ratio between a side length in the first triangle and the corresponding side length in the second triangle.

solve

Look at the triangles.

6

3

6

Y

X

W

2

1

2

F

E

G

The similarity ratio of △WXY to △GEF is the ratio between a side length in △WXY and the corresponding side length in △GEF. So, the similarity ratio is  

WX

EG

=

3

1

=3.

4 0
3 years ago
Which number is a solution of the inequality? b &gt; 11.3; 9 –14 15 4
marshall27 [118]

b > 11.3\\\\9-NOT,\ because\ 9\ is\ not\ greater\ than\ 11.3\\-14-NOT,\ because\ -14\ is\ not\ greater\ than\ 11.3\\15-YES,\ because\ 15>11.3\\4-NOT,\ because\ 4\ is\ not\ greater\ than\ 11.3\\\\Answer:\ \boxed{15}

6 0
3 years ago
The O! Natural Company sells a juice in 1 gallon bottles. The current retail price of the juice is $3.50 for 1 gallon. In order
cluponka [151]

Answer:

After the discount, the customer will pay only 91.4% of the initial price.

Step-by-step explanation:

We have that the price of the current retailer, in dollars, is:

3.50

After the discount, the new price, in dollars, is:

3.20

We want to know what percentage of the original price is the final price.

To find out, we must divide the final price between the initial price and then multiply the result by 100%

So:

\frac{&#10;3.20}{3.50}*100% = 0.914. * 100% = 91.4%

After the discount, the customer will pay only 91.4% of the initial price.

The discount percentage you are going to pay is 100% -91.4% = 8.6% of the initial price

8 0
3 years ago
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