Estimate the sum of 502 and 47 by rounding both values to the nearest ten. What is the best estimate of the sum?

Answers

Answer 1

Answer: Nearest tenth of 502 is = 500
Nearest tenth of 47 = 50

So, the sum is = 500 + 50 = 550

In short, Your Answer would be 550

Hope this helps!

Answer 2

Answer: my best estimate would be 550

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What is an equivalent ratio of 5/6

Find the next three terms in this sequence:
1, 4, 9, 16, 25, ...

Answers

Answer:

36 , 49 , 64

Step-by-step explanation:

Given that (4p-5q)/(6p+q) = 1/4 , find the value of 2p : 7q in its lowest term.

Answers

Start from

$\cfrac{4p-5q}{6p+q} = \cfrac{1}{4}$

and cross multiply the denominators (i.e. multiply both sides by $4(6p+q)$

The result is

$4(4p-5q) = 6p+q$

Expand the left hand side:

$16p-20q = 6p+q$

Bring all terms involving p to the left, and all terms involving q to the right:

$16p-6p = 20q+q \implies 10p=21q$

Divide both sides by 21q:

$\cfrac{10p}{21q} = 1$

Now we have a ratio between multiples of p and q. It's not exactly the one we want, though. Nevertheless, we can keep multiplying both sides by approriate constants in order to get the ratio we want:

Divide both sides by 5:

$\cfrac{2p}{21q} = \cfrac{1}{5}$

Multiply both sides by 3:

$\cfrac{2p}{7q} = \cfrac{3}{5}$

You use 4 gallons of water on 30 plants in your garden. At that rate how much water will it take to water 45 plants?

Answers

The easiest way to do this is with cross-multiplication.

4 gallons for 30 plants is written as 4/30

x gallons for 45 plants is written as x/45

Multiply 4 x 45 = 180

divide by 30

= 6 gallons of water

4/30 = x/45
cross multiply
180 = 30x
divide
x = 6 gallons

Can you help please!!!!12. Carmine has 8 liters of punch for a party. Each glass holds 1/5 liter of punch. How many glasses can Carmine fill with punch?

13.Four friends share 3 fruit bars equally. What fraction of a fruit bar does each friend get?

14. Caleb and 2 friends are sharing 1/2 quart of milk equally. What fraction of a quart of milk does each of the 3 friends get?

15. Makayla has 3 yards of ribbon to use for a craft project. She cuts the ribbon into pieces that are 1/4 yard long. How many pieces of ribbon does Makayla have?

Answers

12) 8 liters in total. each glass holds 1/5 of a liter. 8 x 5 = 40 glasses.

13) 3bars/4people = 3/4 of a bar.

14) same concept as 13. .5quart/3people = (1/6) of a quart of milk.

15) 3 yards in total. divides it into pieces that are 1/4 yard long. so each 1 yard makes 4 pieces. that means 3 yards makes 12 pieces in total.

12) 5 glasses per liter. 5 * 8= 40 glasses
13)
Friend 1- .75
Friend 2- .75
Friend 3- .75
Friend 4- .75
Total is 3 bars
14) 1 quart equals 4 cups
Caleb- 1 1/3 cup
Friend 1- 1 1/3 cup
Friend 2- 1 1/3 cup
15) 3/ 1-4 = 12 pieces

Write a linear function f with the values f (3)=-1 and f (6)=1

Answers

Answer:

f(x)= $(2)/(3)$ x-3

Hope this helps ;)

3 is 20% of what number

Answers

First: (20/100)x = 3
Second: 20x / 100 = 3
Third: 20x = 3 * 100
Fourth/Final: x = 3*100/ 20 = 15
Answer:
15

Hi!

3 ⇒ 20%
x ⇒ 100%

20x = 3·(100)
20x = 300
x = 300/20
x = 30/2
x = 15

Answer:

3 is 20% of 15

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