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Fofino [41]
2 years ago
7

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is

70 % salt and Solution B is 95 % salt. She wants to obtain 80 ounces of a mixture that is 80 % salt. How many ounces of each solution should she use?
Mathematics
1 answer:
son4ous [18]2 years ago
3 0
<h3>Answer:</h3>
  • 32 ounces of 95% salt
  • 48 ounces of 70% salt
<h3>Explanation:</h3>

Let x represent the number of ounces of 95% salt she should use.

Then the total amount of salt in the 80 ounces of solution is ...

... 0.95x + 0.70(80-x) = 0.80·80

... 0.25x = 64 -56 . . . . . . . collect terms, subtract 56

... x = 8·4 = 32 . . . . . . . . . . multiply by 4

She should use 32 ounces of 95% salt and (80-32=) 48 ounces of 70% salt,

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The answer is 888+88+8+8+8
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Solve the equation.<br> 8 -(x + 5) = 5x - 3
Mandarinka [93]

Answer:

x = 1

Step-by-step explanation:

8 -(x+5) = 5x - 3

-(x+5)  --->   -1 (x +5) = -x - 5

8 - x - 5 = 5x -3            8 - 5 = 3

-x + 3 = 5x - 3

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6 = 6x

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<u>x = 1</u>

8 0
2 years ago
John jogs 2 7/10 miles to the park. Marsha jogs 4/5 miles to the park. How much farther does John jog?
Elden [556K]

Answer:

1.9 miles.

Step-by-step explanation:

John jogs 2 7/10 miles to the park. Marsha jogs 4/5 miles to the park.

Convert the fractions into decimals:

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4/5 = 0.8

Subtract '0.8' from '2.7':

2.7-0.8=1.9

John should jog 1.9 miles farther than Marsha.

Hope this helps.

7 0
3 years ago
Read 2 more answers
Solve this problem please
djyliett [7]

The formula for depreciation is:

y=x(1-r)^t

Where x = Initial value,

y= Amount after depreciation.

r= Rate of depreciation,

t = time (in years)

According to given problem,

x = 1040, y= 944 and t = 12 months =1 year.

So, first step is to plug in these values in the above formula, So,

944 = 1040(1-r)^1

944 = 1040 (1 -r)

\frac{944}{1040} =1-r Divide each sides by 1040.

0.907692308 =1 - r

0.907692308 - 1 = -r Subtract 1 from each sides.

-0.092307692 = -r

So, r = 0.09 or 9%.

Now plug in 0.09 in the above equation to get the depreciation equation. So,

y = x (1- 0.09)^t

So, y = 0.91x^t

b) To find the value of the bike after 5 months,

plug in t = 5 months= 5/12 = 0.41667 years in the above equation of depreciation.

So, y= 1040 *(0.91)^{0.41667}

y = 1040 * 0.961465659

y = 999.9242852

y = 1000 (Rounded to nearest integer).

Hence, the value of the bike after 5 months is $1000.

7 0
3 years ago
Which of these triangle pairs can be mapped to each other using a single reflection?​
kondor19780726 [428]

Answer:

Second triangle pair

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In a reflection, the shape is flipped. In the first pair, the corresponding sides as shown by the lines, and the corresponding angle are already in the same position. In the second pair, Δ MLN can be reflected so that line LN match with EG and line LM matches with line EF. ∠L and ∠E will also be mapped to each other when one triangle is reflected.

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