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Elza [17]
3 years ago
9

At Judith's Swimwear, 75% of the 72 swimsuit styles are bikinis. How many bikini styles are

Mathematics
2 answers:
Over [174]3 years ago
7 0

Answer:

96

Step-by-step explanation:

72 is 75% of 96.

72 ÷ 75% = 96

poizon [28]3 years ago
5 0

Answer:

54

Step-by-step explanation:

75% of 72 is 54

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A jeweler wants to make 14 grams of an alloy that is precisely 75% gold.. The jeweler has alloys that are 25% gold, 50% gold, &a
Goryan [66]

Given that the jeweler has alloys that are 25% gold, 50% gold, and 82% gold.

As he wants to make 14 grams of an alloy by adding two different alloys that is precisely 75% gold, so one alloy must have a percentage of gold more than 75%.

One alloy is 82% gold and, the second can be chosen between 25% gold, 50% gold, so there are two cases.

Case 1: 82% gold + 50% gold

Let x grams of 82% gold and y  grams of 50% gold added to make x+y=14 grams of 75% gold, so

75% of 14 = 82% of x + 50% of y

\Rightarrow 75/100 \times 14 = 82/100 \times x + 50/100 \times y \\\\

\Rightarrow 75/100 \times 14 = 82/100 \times x + 50/100 \times (14-x)  [as x+y=14]

\Rightarrow 75 \times 14 = 82 \times x + 50 \times (14-x)  \\\\\Rightarrow 75 \times 14 = 82 \times x + 50 \times14-50\times x \\\\\Rightarrow 75 \times 14 = 32 \times x + 50 \times14 \\\\\Rightarrow 32 \times x =75 \times 14 - 50 \times14 \\\\

\Rightarrow x =(25 \times 14)/32=10.9375 grams

and y = 14-x= 14-10.9375=3.0625 grams.

Hence, 10.9375 grams of 82% gold and 3.0625  grams of 50% gold added to make 14 grams of 75% gold.

Case 2: 82% gold + 25% gold

Let x grams of 82% gold and y  grams of 25% gold added to make x+y=14 grams of 75% gold, so

75% of 14 = 82% of x + 25% of y

\Rightarrow 75/100 \times 14 = 82/100 \times x + 25/100 \times y \\\\\Rightarrow 75/100 \times 14 = 82/100 \times x + 25/100 \times (14-x) \\\\ \Rightarrow 75 \times 14 = 82 \times x + 25 \times (14-x)  \\\\\Rightarrow 75 \times 14 = 82 \times x + 25 \times14-25\times x \\\\\Rightarrow 75 \times 14 = 57 \times x + 25 \times14 \\\\\Rightarrow 57 \times x =75 \times 14 - 25 \times14 \\\\

\Rightarrow x =(50 \times 14)/57=12.28 grams

and y = 14-x= 14-12.28=1.72 grams.

Hence, 12.28 grams of 82% gold and 1.72  grams of 50% gold added to make 14 grams of 75% gold.

3 0
2 years ago
Please please help me
jonny [76]

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2 years ago
Kira needs 3,000 milligrams of zinc for a science experiment. Which expression can be used to determine how many grams of zinc s
harina [27]

Answer: 3,000 divided by a thousand

Step-by-step explanation: 1,000 milligrams equal one gram so you divide the number of milligrams by 1,000 to find out the number of grams.

8 0
3 years ago
4+3(3x + 1) = 29 - 2x
Mademuasel [1]

Answer:

Step-by-step explanation:

4 + 9x + 3 = 29 - 2x

9x + 7 = 29 - 2x

11x = 22

x = 2

6 0
3 years ago
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Why can79 be between 60and 100
Dvinal [7]
Because it is greater than 60 but it is also less than 100 
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3 years ago
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