3 years ago

I need help with this urgent

Mathematics

1 answer:

Gnom [1K]3 years ago

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Candice spent 5 1/4 hours doing her homework. Her brother, Ronald, spent 1/2 that number of hours doing his homework. How many h

Elden [556K]

Let

x-----> the number of hours that Candice spent doing her homework

y-----> the number of hours that Ronald spent doing his homework

we know that

$x=5\frac{1}{4}\ hours$

convert mixed number to an improper fraction

$5\frac{1}{4}\ hours=\frac{5*4+1}{4}= \frac{21}{4}\ hours$

$x=\frac{21}{4}\ hours$ -------> equation A

$y=\frac{1}{2}x$ ------> equation B

Substitute equation A in equation B

$y=\frac{1}{2}*\frac{21}{4}=\frac{21}{8}\ hours$

convert an improper fraction to a mixed number

$\frac{21}{8}\ hours=2.625=2+0.625=2+\frac{5}{8}=2\frac{5}{8}\ hours$

therefore

<u>the answer is the option B</u>

$2\frac{5}{8}\ hours$

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The answer would be f(x)= x+47

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Which is an equation in point-slope form for the given point and slope?

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The point-slope form: $y-y_1=m(x-x_1)$

Q2.

$(1,\ -7)\to x_1=1,\ y_1=-7\\m=1\\\\y-(-7)=1(x-1)\\\\y+7=(x-1)$

Q3.

$(5,\ 9)\to x_1=5,\ y_1=9\\m=2\\\\y-9=2(x-5)$

Q4.

$y=mx+b\\\\(0,\ 1)\to b=1\\\\y=mx+1$

The formula of a slope: $m=\dfrac{x_2-x_1}{y_2-y_1}$

$((-2,\ 4)\to x_1=-2,\ y=4\\(2,\ -2)\to x_2=2,\ y_2=-2\\\\m=\dfrac{-2-4}{2-(-2)}=\dfrac{-6}{4}=-1.5$

$y=-1.5x+1$

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