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aleksklad [387]
2 years ago
15

If y varies inversely as x, find the constant of variation k and the inverse variation equation for the situation.

Mathematics
1 answer:
sertanlavr [38]2 years ago
4 0

Answer:

y = 7/x

Step-by-step explanation:

y = k/x

1/5 = k/35

(1/5)(35) = k

k = 7

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6.A = 23 × 3 × 5 B = 22 × 3 × 52
frez [133]

Given:

The two numbers are

A=23\times 3\times 5

B=22\times 3\times 52

To find:

The highest common factor (HCF) of A and B

Solution:

We have,

A=23\times 3\times 5               ...(i)

B=22\times 3\times 52

All the factors of A are prime but the factors of B are not prime. So, it can be written as

B=2\times 11\times 3\times 13\times 2\times 2          ...(ii)

From (i) and (ii), it is clear that 3 is the only common factor of A and B. So,

HCF(A,B) = 3

Therefore, the highest common factor (HCF) of A and B is 3.

6 0
3 years ago
Robert ran 3 1/3 mph for 3/4 of an hour. How far did he run?​
matrenka [14]

Answer:

2 ½ miles

Explanation:

mph = miles per hour, which means that if robert had run for the full 1 hour, he would have run 3 ⅓ miles.

however, since he only ran for ¾ of an hour, which is equal to 0.75, we can multiply the 3 ⅓ miles by 0.75 to get 2.5 or 2 ½ miles.

i hope this helps! :D

7 0
3 years ago
How long would it take to lay 8 rows of 18 bricks each at a rate of 4 bricks per minute
Anna35 [415]
8 times 18 is 144. then take that and divide it by 60 seconds which equals a minute. your answer is 2 minutes and 40 seconds
8 0
2 years ago
Read 2 more answers
Alina spent no more than $45 on gas for a road trip. The first gas station she used charged $3.50 per gallon and the second gas
Paraphin [41]

Answer:  3.50x + 4.00y ≤ 45

                0 < y < 11.25

<u>Step-by-step explanation:</u>

3.50x + 4.00y \leq 45\\\\\\\text{Subtract 3.50x from both sides:}\\4.00y\leq -3.50x+45\\\\\\\text{Divide everything by 4.00 (to isolate y):}\\\dfrac{4.00y}{4.00}\leq \dfrac{-3.50x}{4.00}+\dfrac{45}{4.00}\\\\\\y\leq-0.875x+11.25\\\\\\\text{Both x and y must be greater than zero, so:}\\0

8 0
2 years ago
Read 2 more answers
Estimate the length of one side of a square floor, if the area is 320 square feet. Give the whole number that is closest to the
RSB [31]
Let us assume the length of a side of the square floor = x feet
Area of the square floor as given in the question = 320 square feet
Then
x^2 = 320
x^2 = (17.89)^2
Then
x = 17.89
   = 18 feet approx

From the above deduction, it can be easily concluded that the correct option among all the options that are given in the question is the second option or option "B".
3 0
3 years ago
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