V-3/-10= -4 please answer step by step

(02.06)If 1 pint is equal to 2 cups, then 5 pints would equal ___ cups.

EleoNora [17]

Answer:

If 1 pint is equal to 2 cups, then 5 pints would equal _<u>5</u>_ cups.

Step-by-step explanation:

Let's use a ratio to solve:

pints : cups

1 : 2

2 : 4

3 : 6

4 : 8

5 : 10

There would be 10 cups in 5 pints.

3 0

3 years ago

What number must be added to 15,-6, and 12 to have a mean of 5? Explain.

Genrish500 [490]

You need to add a -1

We can find this by setting up the equation like so

x + (-6) + 12 + 15 / 4 = 5

x + 21 = 20

x = 20 -21

x = -1

Now if we insert -1 where x is located in the equation, you will get a means of 5

3 0

3 years ago

Write a rational equation that relates the desired percentage to the amount of % acid solution that needs to be added to liter o

mart [117]

This question is incomplete

Complete Question

Write a rational equation that relates the desired percentage p, to the amount A of a 30% solution that needs to be added to 1 liter of 10% acid solution to make a blend that is p% acid, where 0<p<100 . What is a reasonable restriction on the set of possible values of ? Explain your answer.

Answer:

100(0.1 + 0.3A)= (1 + A) P

Step-by-step explanation:

A of a 30% solution that needs to be added to 1 liter of 10% acid solution to make a blend that is p% acid,

Hence,

10% of 1 + 30% of A = p%(1 + A)

0.10 + 0.3A = (p/100)(1 + A)

Divide both sides by 1 + A

0.1 + 0.3A/ 1 + A = p/100

Cross Multiply

100(0.1 + 0.3A) = 1 + A(p)

From the above calculation, we can see that, the blend that would be formed is not lower than 10% or greater than 30%

10% < p< 30%

8 0

2 years ago

A florist is creating 10 centerpieces. Roses cost $2.50 each, lilies cost $4 each, and irises cost $2 each. A customer plans on

lana [24]

Answer:

8 Roses; 1 lilie ; 3 irises

Step-by-step explanation:

Let the number of roses be 'a' , number lilies be 'b' and number of irises be 'c'

$300 for 10 centerpieces means $30 per centerpiece. therefore,

$2.5a+4b+2c = 30$ .......................(1)

also each centerpiece must contain 12 flowers, therefore,

$a+b+c=12$ .................................(2)

also twice as much roses as the number of irises and lilies combined

$a = 2(b+c)$

$a-2b-2c=0$ ............................... (3)

a) System of equation are equations (1) , (2) & (3).

Writing a matrix equation

$\left[\begin{array}{ccc}2.5a&4b&2c\\a&b&c\\a&-2b&-2c\end{array}\right] = \left[\begin{array}{ccc}30\\12\\0\end{array}\right]$

b) Solving the simultaneous equation,

from (3), $a=2b+2c$

substituting for 'a' in equation (1) and (2),

⇒ 2.5(2b+2c)+4b+2c=30

⇒ 5b + 5c + 4b + 2c = 30

⇒ 9b + 7c = 30 ..................... (4)

⇒ 2b + 2c + b + c = 12

⇒ 3b + 3c = 12

⇒ b = 4 - c ..............................(5)

Substituting (5) in (4)

9 (4 - c) + 7c = 30

36 - 9c+7c =30

36-30 = 2c

c = 3

b = 4-3 = 1

a = 2(3+1) = 8

3 0

3 years ago

Brenda bought three times

ser-zykov [4K]

I got 27,550 dollars

4 0

3 years ago