3 years ago

Find the slope of the line between these two points. (−4, 7), (−6, −4)

Mathematics

1 answer:

patriot [66]3 years ago

4 0

Answer:

5.5

Step-by-step explanation:

gradient = (7-(-4))/(-4-(-6)) = 11/2 = 5.5

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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

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

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