15. 12, 8, 14, 7, 16, 6, 18, .......,<br>b. 6, 20<br>a. 5, 18<br>d.6,21<br>C. 5, 20

A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The prem

katrin [286]

Amount of water = 260 gallons

Amount of antifreeze = 60 gallons

Explanation:

let the amount of water = w

amount of water + amount of antifreeze will give 320 gallons of mixture

w + amount of antifreeze = 320

amount of antifreeze = 320 - w ...(1)

The concentration for the antifreeze = 80% = 0.8

The concentration of the mixture = 15% = 0.15

From our question, we are mixing antifreeze with pure water (two different things). In our calculation, we can write the concentration in terms of water or in terms of antifreeze.

Writing the concentration in terms of amount of antifreeze

0.8(amount of antifreeze) + percent of antifreeze (amount of water) = concentraton of the mixture

The mixture contains 15% antifreeze

water contains no antifreeze, percent = 0

0.8(320 - w) + 0(w) = 0.15(amount of mixture)

0.8(320 - w) + 0 = 0.15(320)

256 - 0.8w + 0 = 48

256 - 0.8w = 48

collect like terms:

256 - 48 = 0.8w

208 = 0.8w

divide both sides by 0.8:

208/0.8 = w

w = 260

substitute for w in equation (1)

amount of antifreeze = 320 - 260 = 60

Amount of water = 260 gallons

Amount of antifreeze = 60 gallons

3 0

1 year ago

Ray is buying some ginger roots to brew some fresh ginger ale. The price of the ginger roots is GG, and Ray has a coupon for 10%

evablogger [386]

Answer:

It represents the price that ray is actually paying. Instead of paying for 100% of the price, he is now only paying for 90%

Step-by-step explanation:

6 0

4 years ago

How to use distributive property to remove the parentheses

GrogVix [38]

Answer: Multiply the number(s) outside the parenthesis by the numbers inside the parenthesis. The distributive property is expressed in math terms as the following equation: a(b + c) = ab + ac.

Step-by-step explanation:

2(3 + 4) - 12 Multiply 2 times 3 first.

2 x 3 = 6.

Then multiply 2 times 4.

2 x 4 = 8.

Remember our equation earlier? a(b + c) = ab + ac.

In this case, 2 is a, 3 is b, and 4 is c.

So 2[a](3[b]+4[c]) = 2[a](3)[b] + 2[a](4)[b].

Let's rewrite this in a way that can be read better.

2(3+4) - 12 = 2(3) + 2(4) - 12.

2(3+4) - 12 = 6 + 8 - 12.

2(3+4) - 12 = 14 - 12.

2(3+4) - 12 = 2.

Hope this helped! :)

4 0

3 years ago

A farmer wants to fence in a rectangular field of livestock. The boundary for one side of the field is a long, straight river. N

Anit [1.1K]

Answer:

To get maximum area, the dimensions will be;

l = 200 and b = 100

Step-by-step explanation:

Given the data in the question;

No fencing is needed on this side as the farmer wants to fence 3 sides of a rectangular field with 400 m fencing.

now, let the two vertical length sides be x meter and the horizontal length be 400 - 2x

as shown in the image below;

so,

Area of rectangle = (400 - 2x) × x = 400x - 2x²

now, to maximize area 'A', we will make A' = 0

⇒ 400 - 2(2x) = 0

400 = 4x

x = 400/4 = 100

so

⇒ (400 - 2x) = 400 - 2(100) = 400 - 200 = 200

∴ Maximum area = ( 400 - 2x) × x

= 200 × 100

= 20000 m²

∴ To get maximum area, the dimensions will be;

l = 200 and b = 100

7 0

3 years ago

Can someone please help me with this..? (Will give brainlest)

gayaneshka [121]

Step-by-step explanation:

The first purple dot is (40,20)

The second purple dot is (20,50)

The third purple dot is (60,20)

5 0

3 years ago

Read 2 more answers

15. 12, 8, 14, 7, 16, 6, 18, .......,b. 6, 20a. 5, 18d.6,21C. 5, 20​

15. 12, 8, 14, 7, 16, 6, 18, .......,b. 6, 20a. 5, 18d.6,21C. 5, 20