6 Melvin and Roberto played football on two different teams last season.

You need 660 mL of a 40% alcohol solution. On hand, you have 35% alcohol mixture. You also have a 95% alcohol mixture. How much

ozzi

Answer:

A. 605 mL of the 35% solution

B. 55 mL of the 95% solution

Step-by-step explanation:

It is given that, you need 660 mL of a 40% alcohol solution. On hand, you have 35% alcohol mixture. You also have a 95% alcohol mixture.

Let x and y be the amount of 35% alcohol solution and 95% alcohol solution (in mL) respectively.

So,

Amount equation: $x+y=660$ ...(1)

Alcohol equation : $0.35x+0.95y=0.40(660)\Rightarrow 0.35x+0.95y=264$ ...(2)

On solving (1) and (2), we get

$0.35(660-y)+0.95y=264$

$231-0.35y+0.95y=264$

$0.6y=264-231$

$y=\dfrac{33}{0.6}$

$y=55$

Now, substitute y=55 in (1).

$x+55=660$

$x=660-55$

$x=605$

Therefore, we need 605 mL of the 35% solution and 55 mL of the 95% solution.

4 0

3 years ago

A business sells kicking tees by mail for 3 each the shipping charge is 5 the function p=n+5 shows how the number of tees n rela

melamori03 [73]

<u>Answer: </u>

When you buy 2 , 3 and 4 tees , price you pay are 10.33 unit price , 13 unit price and 15.667 unit price respectively.

<u>Solution: </u>

Information provided in the question seems to be less . so assuming following two things.

1)Given function p = n + 5 do not include shipping cost as shipping cost is also dependent on number of tees.

2)If shipping charges for 3 tees is 5 , then shipping charges of 1 tee is $\frac{5}{3}$

When you buy 2 tees , n = 2

Price = p = n+5 = 2+5 = 7

Shipping charges =( $\frac{5}{3}$ ) x 2 = $\frac{10}{3}$

So total price you pay for two tees = 7 + ( $\frac{10}{3}$ ) = 7 + 3.3333 = 10.3333 unit price.

When you buy three tees , n = 3

Price = p = n+5 = 3+5 = 8

Shipping charges =( $\frac{5}{3}$ ) x 3 = 5

So total price you pay for two tees = 8 + 5 = 13 unit price.

When you buy four tees, n = 4

Price = p = n+5 = 4+5 = 9

Shipping charges =( $\frac{5}{3}$ ) x 4 = $\frac{20}{3}$

So total price you pay for two tees = 9 + ( $\frac{20}{3}$ ) = 47/3 = 15.667 unit price.

Hence when you buy 2 , 3 and 4 tees , price you pay are 10.33 unit price , 13 unit price and 15.667 unit price respectively.

3 0

3 years ago

6. A number j increased by 8 *

e-lub [12.9K]

Answer:

6. b. j+ 8

7. b. n - 2

8. a. Addition

9. d. y ÷ -5

10. c. 18 - 19

11. a. 10 + 6

12. b. Divided by

13. a. three added to 5

14. b. 9

15. b. 75

8 0

2 years ago

Dianna runs a race of 2 miles in 8 minutes at a steady speed. Each mile she runs beyond 2 miles, her speed slows 1 mile a minute

Tamiku [17]

Okay: We know that 2 Miles takes her 8 minutes. Every mile after that we add a minute. Let’s put that into a sequence:

4,8,13,19,26

We add an extra minute every mile after 8 minutes. +5,+6,+7

26 is your answer.

I hope this helps!
~kaikers

7 0

3 years ago

You are designing an icon for a mobil app. Use the provided ruler to answer the following questions.

makkiz [27]

Answer:

a. Scale Perimeter : 2.5 centimeters

Actual Perimeter : 13 centimeters

Actual Area : 10.5 square centimeters

b. Actual Perimeter : 130 mm

Actual Area : 1,050 mm

Step-by-step explanation:

a. 2.5 mm = 0.25 cm

2 (1 + 0.25) = 2.5

2 (3.5 + 3) = 13

3.5 x 3 = 10.5

b. 3.5 cm = 35 mm 3 cm = 30 mm

2 (35 + 30) = 130

35 x 30 = 1050

7 0

2 years ago