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AfilCa [17]
3 years ago
11

Roberta wants to create 17 ounces of new hand lotion, with a minimum 15% concentration of beeswax, from a mixture of two lotions

. One lotion has a 21% concentration of beeswax, and the second lotion has a concentration of 5% beeswax. Based on the inequality below, how much of the 21% lotion, x, will she need? 0.21x + 0.05(17 - x) > 2.55
Mathematics
1 answer:
Zarrin [17]3 years ago
6 0

Answer:

Step-by-step explanation:

Given the inequality

0.21x + 0.05(17 - x) > 2.55 where x is the amount of 21% lotion needed

Given

0.21x + 0.05(17 - x) > 2.55

Open the parenthesis

0.21x + 0.85-0.05x > 2.55

Collect like terms

0.21x-0.05x+0.85>2.55

0.16x+0.85>2.55

0.16x>2.55-0.85

0.16x > 1.7

x > 1.7/0.16

x > 10.625

Hence she will need 21% lotion approximately greater than 10 ounces

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2= ab............................(eqn 1)

Now plug second

2/5 = a(b)^2 .............................( eqn2)

Divide equation 2 by equation 1

\frac{2=ab}{\frac{2}{5}=ab^2}

On simplifying we get

5= \frac{1}{b}

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a) \frac{1}{5}

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3 years ago
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The girls and boys' basketball teams sponsored a car wash that made $109. There were twice as many girls as
V125BC [204]

Answer:

Boys - 36$ 33 cents

Girls - 72$ 67 cents

Step-by-step explanation:

Boys x

Girls 2x

Total 109

2x+x=109

3x=109/:3

X=36,3333

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7 0
3 years ago
Colin invests £2200 into his bank account. He receives 2.5% per year simple interest. How much will Colin have after 3 years? Gi
Helga [31]

<u>Answer:</u>

  • Colin will have $2365 after 3 years.

<u>Step-by-step explanation:</u>

<u>Using PRT/100, we can find the interest and then sum it up with the principle amount.</u>

  • => 2200 x 2.5 x 3/100 = Interest
  • => 22 x 2.5 x 3 = Interest
  • => 55 x 3 = Interest
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Hence, <u>Colin will have $2365 after 3 years.</u>

Hoped this helped.

BrainiacUser1357

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3 years ago
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4 years ago
Isaac and William, in the mall parking lot, have found 11 quarters, 3 fifty-cent pieces, 36 dimes, 40 nickels, and 134 pennies.
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Answer:

\frac{1}{16}

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The experimental probability is based on what already happened.

So we see that both of them found a total of 11 + 3 + 36 + 40 + 134 = 224 coins.

The coins that are worth MORE THAN 10 cents are 11 quarters and 3 fifty-cent pieces (we exclude dimes because we want MORE THAN 10 cents, NOT 10 cents exactly).

So 11 + 3 = 14 coins are worth MORE THAN 10.

So the probability of finding one worth more than 10 cents next is 14/224 = 1/16

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3 years ago
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