OMG HELP A GIRL OUT !!HELP ME PLEASE I NEED A 70%

1. Translate and solve: What number is 408% of 568? Round to the nearest hundredth.

2.In 10 years, the population of Detroit fell from 950,000 to about 712,500. Find the total percent decrease.

3.A cash box of $1 and $5 bills is worth $45. The number of $1 bills is three more than the number of $5 bills. How many of each bill does it contain?

4.Marquese is making 10 pounds of trail mix from raisins and nuts. Raisins cost $3.45 per pound, and nuts cost $7.95 per pound. How many pounds of raisins and how many pounds of nuts should Marquese use for the trail mix to cost him $6.96 per pound?

Respuesta :

Answer:

#1. 408% of 568

We get two equations from this

408% = x

568 = 100%

568/x=100%/408%

Solve and you'll get

408% of 568

=2317.44

2. New - Original = % change

712500 - 950000 = -237500

3. 10 at $1, 7 at $5

4. 2.2 lb. of raisins, 7.8 lb. of nuts

As per the given conditions we have

1. Number which is 408% of 568 is equals to 2317.44 ( nearest hundredth).

2. Total decrease in percentage of the population of Detroit is equals to 25%.

3.Cash box contain bill of $1 is equals to 10 and bill of $5 is equals to 7.

4. Raisins is equals to 2.2 pounds and nuts is equals to 7.8 pounds for the trail mix.

What is equation?

" Equation is defined as the relation between the variables using sign of equality."

What is percentage?

" Percentage is defined as the hundredth part of the given number."

According to the question,

1. 'x' represents the number

As per given condition,

x = 408% of 568  

⇒ [tex]x= \frac{408}{100} (568)[/tex]

⇒ [tex]x = 2317.44[/tex]

Therefore, the number which is 408% of 568 is equals to 2317.44.

2. Total population of Detroit = 950,000

Population after 10 years = 712,500

Decrease in population = 950,000 - 712,500

                                       = 237,500

Total percentage decrease in population = [tex]\frac{237500}{950,000}(100)[/tex]

                                                                     = 25%

Therefore, total  decrease in percentage of the population of Detroit is equals to 25%.

3. 'x' represents the bill of $1

   

  'y' represents the bill of $5

As per the condition given equation we have,

$1x + $5y = $45                  ______(1)

x = y + 3                              ______(2)

Substitute the value of  equation (2) in (1) we get,

[tex]1(y + 3) + 5y = 45\\\\\implies 6y = 45-3\\\\\implies y \frac{42}{6} \\\\\implies y = 7[/tex]

Substitute the value y in (2) we get,

[tex]x= 7 + 3\\\\\implies x =10[/tex]

Therefore , cash box contain bill of $1 is equals to 10 and bill of $5 is equals to 7.

4.  'x' represents the pounds of raisins

  '10- x ' represents the pounds of nuts

Cost of trail mix from raisins and nuts per pound = $6.96

Therefore,

Cost of 10 pounds of  trail mix of raisins and nuts = $(6.96 ×10)

                                                                                  = $69.6

Cost per pound of raisins = $3.45

Cost per pound of nuts = $7.95

Equation formed as per given condition we get,

[tex]3.45x + 7.95(10-x) = 69.6\\\\\implies 3.45x + 79.5 -7.95x = 69.6\\\\\implies -4.5x = 69.6 - 79.5\\\\\implies-4.5x= -9.9\\\\\implies x =\frac{9.9}{4.5}\\ \\\implies x = 2.2 pounds[/tex]

Pounds of raisins  = 2.2pounds

Pounds of nuts = 10 - 2.2

                         = 7.8 pounds

Therefore,  pounds of raisins is equals to 2.2 and pounds of nuts is equals to 7.8 for the trail mix.

Hence, As per the given conditions we have

1. Number which is 408% of 568 is equals to 2317.44 ( nearest hundredth).

2. Total decrease in percentage of the population of Detroit is equals to 25%.

3.Cash box contain bill of $1 is equals to 10 and bill of $5 is equals to 7.

4. Raisins is equals to 2.2 pounds and nuts is equals to 7.8 pounds for the trail mix.

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