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3 years ago

Six less then a number is equal to ten

Mathematics

2 answers:

const2013 [10]3 years ago

8 0

The number is represented by n
n-6=10

To solve, add 6 to each side, giving you n=16

podryga [215]3 years ago

6 0

Answer:

im pretty sure it is 16

Step-by-step explanation: 6 less than 16 is 10

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There are 9 marbles in a bag, 3 of those marbles are red. what is the probability of picking a red marble randomly from the bag?

boyakko [2]

Answer:

1/3 because there's more of the other marbles than red

Step-by-step explanation:

7 0

3 years ago

How many square feet of outdoor carpet will we need for this hole?

Mamont248 [21]

Answer:

The area of the outdoor carpet = 60 - 6 - 6 = 48 ft²

Step-by-step explanation:

The picture below is what you are referring to .

The whole area of the shape forms a rectangle. A triangle and a rectangle has been cut off from the whole carpet rectangle. The square ft or area of the carpet is the subtraction of the area of the rectangle and triangle cut off from the whole area of the rectangle .

Area of the rectangle = Lb

where

L = 12 ft

b = 5 ft

area = 12 × 5 = 60 ft²

The cut off triangle area

area = 1/2 × base × height

area = 1/2 × 4 × 3

area = 12/2 = 6 ft²

The cut off rectangle area

area = Lb

area = 3 × 2

area = 6 ft²

The area of the outdoor carpet = 60 - 6 - 6 = 48 ft²

7 0

4 years ago

Ben's living room is a rectangle measuring 10 yards by 168 inches. by how many feet does the length of the room exceed the width

rjkz [21]

Since you are going in feet first calculate10 yards into feet and then 168 inches into feet. Then subtract the two. Hope that helped :)

5 0

3 years ago

Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary.

Ivanshal [37]

Answer:

Part 1) $168.8\%$

Part 2) $12.6\%$

Part 3) $\$7,046.15$

Part 4) $116.67$

Part 5) $0.6\%$

Part 6) $\$570$

Step-by-step explanation:

Part 1) Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary.

What percent of 1,600 is 2,700?

Let

x ----> the rate

In this problem the base ( number that represent the 100%) is 1,600 and the portion is 2,700

using proportion

$\frac{100\%}{1,600}=\frac{x\%}{2,700}\\\\x=2,700*(100)/1,600\\\\x= 168.75\%$

Round to the nearest tenth of a percent

$168.75\%=168.8\%$

Part 2) Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary.

$7.40 is what percent of $58.90?

Let

x ----> the rate

In this problem the base ( number that represent the 100%) is $58.90 and the portion is $7.40

using proportion

$\frac{100\%}{\$58.90}=\frac{x\%}{\$7.40}\\\\x=7.40*(100)/58.90\\\\x= 12.56\%$

Round to the nearest tenth of a percent

$12.56\%=12.6\%$

Part 3) Solve for the base (in $). Round to hundredths when necessary.

What is the base if the portion is $4,580 and the rate is 65%?

Let

x -----> the base

using proportion

$\frac{\$x}{100\%}=\frac{\$4,580}{65\%}\\\\x=4,580*100/65\\\\x=\$7,046.15$

Part 4) Solve for the base. Round to hundredths when necessary.

140 is 120% of what number?

Let

x -----> the base

In this problem the rate is 120% and the portion is 140

using proportion

$\frac{x}{100\%}=\frac{140}{120\%}\\\\x=140*100/120\\\\x=116.67$

Part 5) Solve the word problem for the portion, rate, or base.

A quality control process finds 46.8 defects for every 7,800 units of production. What percent of the production is defective?

Find for the rate

Let

x -----> the rate

In this problem the base is 7,800 units and the portion is 46.8

using proportion

$\frac{100\%}{7,800}=\frac{x\%}{46.8}\\\\x=46.8*(100)/7,800\\\\x= 0.6\%$

Part 6) A medical insurance policy requires Ana to pay the first $100 of her hospital expense. The insurance company will then pay 90% of the remaining expense. Ana is expecting a short surgical stay in the hospital, for which she estimates the total bill to be about $4,800. How much (in $) of the total bill will Ana owe?

step 1

Find the 90% of the remaining expenses

$4,800-$100=$4,700 -----> remaining expenses

In this part $4,700 is the base, the rate is 90%

Find the portion

Let

x -----> the portion

using proportion

$\frac{\$x}{90\%}=\frac{\$4,700}{100\%}\\\\x=90*4,700/100\\\\x=\$4,230$

step 2

Find out the total bill that Ana will owe

$\$4,700-\$4,230=\$470$

$\$470+\$100=\$570$

5 0

3 years ago

The formula <img src="https://tex.z-dn.net/?f=X%3D%20%5Cfrac%7BD%7D%7B1-h%7D" id="TexFormula1" title="X= \frac{D}{1-h}" alt="X=

Debora [2.8K]

X = D/(1 - h)
1 - h = D/x
h = 1 - D/x

D = 400, X = 4000
h = 1 - 400/4000
h = 1 - 0.1 = 0.9

3 0

3 years ago