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riadik2000 [5.3K]
3 years ago
5

2x + 3y = 12 Complete the missing value in the solution to the equation.

Mathematics
2 answers:
Alja [10]3 years ago
8 0

Answer:

x= 6- 3y/2            y= 4- 2x/3

Step-by-step explanation:

ololo11 [35]3 years ago
5 0

Answer:

x=-6

Step-by-step explanation:

2x+3y=12

2x+3.8=12

2x+24=12

2x=-12

x=-6

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Bob has 77 strawberries and blueberries. He wants to divide them into 2 groups so that for every 4 strawberries there are 7 blue
Serjik [45]

Answer:

44 strawberries to 77 blueberries

Step-by-step explanation:

You must change the ration to 4:7 4 strawberries to 7 blueberries.

Then divide from the total to see how many you can have.

I am guessing that you have 77 of each. so that means you can have 44 strawberries to 77 blueberries.

At this point, you've used all your fruit! Time to go get moreE

Hope this helps!

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7 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

so

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

so

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
There are 24 times as many non-vegetarian students as vegetarian students. If there are 1200 non-vegetarian students, how many s
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The number of students using the ATM on campus daily is normally distributed with a mean of 240 and a standard deviation of 50.
damaskus [11]

Answer:

The probability is 0.080757

Step-by-step explanation:

We start by calculating the z-score

z-score = (x-mean)/SD/ √n

In this case;

x = 247 , mean = 240, SD = 50 and n = 100

z-score = (247-240)/50/√100

z-score = 7/50/10

= 7/5 = 1.4

So the probability we want to calculate is;

P( x > 1.4)

we can use the standard normal distribution table for this

P(x > 1.4) = 0.080757

4 0
3 years ago
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