3 years ago

Write the fraction 4/9 as an equivalent fraction with the given denominator 45

Mathematics

1 answer:

slega [8]3 years ago

5 0

Answer:

answer is in the picture

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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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iVinArrow [24]

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Find the slope of the line passing through the points<br> (-6,-5) and (4,4)

marshall27 [118]

Answer:

$\frac{9}{10}$

Step-by-step explanation:

The slope formula is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Here, $x_{1}$ is -6, $x_{2}$ is 4, $y_{1}$ is -5, and $y_{2}$ is 4.

$m=\frac{4+5}{4+6}$

$m=\frac{9}{10}$

So, the slope of the line passing through the points (-6,-5) and (4,4) is $\frac{9}{10}$ .

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3 years ago

Write the fraction 4/9 as an equivalent fraction with the given denominator 45​

Write the fraction 4/9 as an equivalent fraction with the given denominator 45