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Sindrei [870]
3 years ago
9

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Mathematics
1 answer:
Lerok [7]3 years ago
3 0
......................
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Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will
Oksanka [162]

Answer:

Ella should add 32\dfrac{5}{6} lbs of water.

Total weight of syrup 33\dfrac{1}{3} lbs

Step-by-step explanation:

Weight:

Weight of sugar = 0.5 lbs.

Weight of water added = x lbs

Total weight = 0.5 + x lbs

Percentage:

0.5 + x  --  100%

0.5  --  1.5%

Write a proportion:

\dfrac{0.5+x}{0.5}=\dfrac{100}{1.5}

Cross multiply:

1.5(0.5+x)=0.5\cdot 100\\ \\0.75+1.5x=50\\ \\1.5x=50-0.75\\ \\1.5x=49.25\\ \\x=\dfrac{49.25}{1.5}=\dfrac{4,925}{150}=\dfrac{197}{6}=32 \dfrac{5}{6}\ lbs

Ella should add 32\dfrac{5}{6} lbs of water.

Total weight of syrup

32\dfrac{5}{6}+\dfrac{1}{2}=32\dfrac{5}{6}+\dfrac{3}{6}=33\dfrac{1}{3}\ lbs

3 0
3 years ago
Which of the following is the sum of the slopes of the line 3x+y=1 and a line perpendicular to this line? A 0 B 13 C −83 D −6
laiz [17]

Answer:

-8/3

Step-by-step explanation:

First find the slope of the line

3x+y = 1

Solve for y

y = -3x+1

This is in slope intercept form

y = mx+b where m is the slope

The slope is -3

The slopes of perpendicular lines multiply to -1

m* -3 = -1

m = 1/3

The line perpendicular has a slope of 1 / (3) = 1/3

The sum is -3 + 1/3

-9/2 + 1/3 = -8/3

3 0
3 years ago
Which box plot represents a set of data that has the greatest mean absolute deviation? (see attached image)
insens350 [35]

Answer:

#1

Step-by-step explanation:

Because To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean|.

8 0
3 years ago
Read 2 more answers
24 PTS.!!!!!!VERY VERY VERY URGENT PLEASE HELP!!!!!!!! find the least common multiples of 24, 36 and 40 (no listing method!!)
frez [133]

Answer: 360

Step-by-step explanation: don't know how

7 0
3 years ago
Read 2 more answers
Rewrite the expression with a rational exponent as a radical expression.
Vilka [71]

Answer:

\sqrt{5}

Step-by-step explanation:

we know that

The "power rule" tells us that to raise a power to a power, just multiply the exponents

so

(a^{m})^{n}=a^{m*n}

we have

(5^{\frac{3}{4}})^{\frac{2}{3}}

Applying the "power rule"

(5^{\frac{3}{4}})^{\frac{2}{3}}=5^{\frac{3}{4}*\frac{2}{3}}=5^{\frac{1}{2}}=\sqrt{5}

5 0
3 years ago
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