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zzz [600]
3 years ago
10

Please help asap 30 pts

Mathematics
2 answers:
Vika [28.1K]3 years ago
8 0

7x > -35    |divide both sides by 7

x > -5

---------------------

3x ≤ 30    |divide both sides by 3

x ≤ 10


-5 < x ≤ 10

Answer: b.

frozen [14]3 years ago
3 0
My answer is (b)
I got like that

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How many kilograms of a 5% salt solution and how many kilograms of a 15% salt solution must be mixed together to make 45kg of an
JulsSmile [24]

Answer:

31.5 kilograms of a 5% salt solution and 13.5 kilograms of a 15% salt solution must be mixed together to make 45kg of an 8% salt solution .

Step-by-step explanation:

Let us assume that the number of kilograms of a 5% salt solution used be x .

Let us assume that the number of kilograms of a 15% salt solution used be y .

As given

A 5% salt solution and 15% salt solution must be mixed together to make 45kg of an 8% salt solution .

Equation becomes

x + y = 45

5% is written in the decimal form .

= \frac{5}{100}

= 0.05

15% is written in the decimal form .

= \frac{15}{100}

= 0.15

8% is written in the decimal form .

= \frac{8}{100}

= 0.08

Thus

Concentration of 5% salt solution × Number of kilograms of 5% salt solution used + Concentration of 15% salt solution × Number of kilograms of  15% solution used = Concentration of 8% salt solution × Number of kilograms of 8% salt solution

Thus

0.05x + 0.15y = 0.08 × 45

Simplify the above

\frac{5x}{100} + \frac{15y}{100} = \frac{8\times 45}{100}

5x + 15y = 360

Thus two equations becomes

x + y = 45

5x + 15y = 360

Multiply x + y = 45 by 5 and subtracted from 5x + 15y = 360 .

5x - 5x + 15y - 5y = 360 - 225

10y = 135

y = \frac{135}{10}

y = 13.5 kilograms

Put value of y in the equation

x + 13.5 = 45

x = 45 - 13.5

x = 31.5 kilograms

Therefore the 31.5 kilograms of a 5% salt solution and 13.5 kilograms of a 15% salt solution must be mixed together to make 45kg of an 8% salt solution .

5 0
2 years ago
Use the law of syllogism to form a conclusion from the given premises. Premise 1: If a polygon was translated to the right, then
Pachacha [2.7K]
<span>Premise 1: If a polygon was translated to the right, then its image is congruent to its pre-image.

In symbols: p => q

Premise 2: If an image is congruent to its pre-image, then a rigid transformation was performed.

In symbols: q => r

By the law of silogism

(p => q) and (q => r) => q => r

So, the conclusion is that </span><span>if a polygon was translated to the right, then a rigid transformation was performed. <---- answer</span>
3 0
3 years ago
Read 2 more answers
The granola summer buys used to cost $6.00 per pound but it has been marked up %15 A. How much did it cost summer to buy 2.6 pou
Maksim231197 [3]
The granola summer buys used to cost $6.00 per pound but it has been marked up %15 Question: How much did it cost summer to buy 2.6 pounds of granola at the old price.=> previous price of granola = 6.00 dollars per pound=> marked up 15% = 15% /100% = .15Solve:=> 6 * .15 = .9=> 6 + .9 = 6.9 dollars per poundNow, you want to buy 2.6 pounds=> 6.9 * 2.6 = 17.94 dollars <span>
</span>
3 0
2 years ago
2 Richard and Jason each begin filling pools at the same time.
alina1380 [7]

The quantity of the liquid in Richard's tank after 20 minutes will be 120 gallons and in Jason's tank will be 240 gallons.

<h3>What are gallons?</h3>

A gallon is a British unit which is used for the measurement of liquids that is equal to eight pints. In Britain, it is equal to about 4.546 litres. In America, it is equal to about 3.785 litres.

It is given in the question that:-

Richard fills his pool at a rate of 6 gallons per minute.

Jason's pool already contains 200 gallons, and he fills it at a rate of 2 gallons per minute.

After 20 minutes the amount of liquid in the tank will be:-

For Richard = 6 gallons per minute. x  20  minutes= 120 gallons

For Jason= 2 gallons per minute  x  20  =40 gallons

Jason has 200 gallons already in the tank

So it will become = 200+24=240 gallons.

Hence  quantity of the liquid in Richard's tank after 20 minutes will be 120 gallons and in Jason's tank will be 240 gallons.

To know more about Gallons follow

brainly.com/question/16691874

#SPJ1

7 0
2 years ago
May someone help me out with this please.
Fed [463]
I think The answer is 22.5
5 0
3 years ago
Read 2 more answers
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