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Zinaida [17]
3 years ago
13

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

ours did Ronald spend on his homework?
A.10/8
B.2 5/8
C.5 1/8
D.21/2
Mathematics
1 answer:
ra1l [238]3 years ago
3 0

B, 2 5/8.

2 and 5/8 times itself is 5 1/4, meaning its half of 5 1/4.

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(-1,-6) and (-3,-8) y=Mx+b
denpristay [2]

Answer:

m = 1, b = -5         y = x -5

Step-by-step explanation:

first find the slope or m

slope is change in y over change in x

-8 - (-6) = -2

-3 - (-1) = -2

-2/-2 = 1

m = 1

y = x + b

use one of the points and solve for b

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The product of 2 more than 5 times a number and 4 less than three times a number
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Sorry I'm not sure if I'm right just my thinking...

set the number to be x so that (5x+2)(3x-4)??

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Whats it called when 1 angle = 180 degrees
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It's called a straight angle, it's a straight line.

Step-by-step explanation:

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3 years ago
Read 2 more answers
A fraction becomes 4÷5 if 1 is added to both numerator and denominator. If, however, 5 is subtracted from both numerator and den
tia_tia [17]

Answer:

\dfrac{7}{9}

Step-by-step explanation:

\dfrac{x+1}{y+1}=\dfrac{4}{5}\\\Rightarrow 5x-4y=-1

\dfrac{x-5}{y-5}=\dfrac{1}{2}\\\Rightarrow 2x-y=5

Putting it in matrix form

\begin{bmatrix}a_{1}&b_{1}\\a_{2}&b_{2}\end{bmatrix}{\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}{c_{1}}\\{c_{2}}\end{bmatrix}\\\Rightarrow\begin{bmatrix}5 & -4\\2 & -1\end{bmatrix}\begin{bmatrix}x\\ y\end{bmatrix}=\begin{bmatrix}-1\\ 5\end{bmatrix}

From Cramer's rule we have

x=\dfrac{\begin{vmatrix}c_1 &b_1 \\ c_2 & b_2\end{vmatrix}}{\begin{vmatrix}a_1 &b_1 \\ a_2& b_2\end{vmatrix}}\\\Rightarrow x=\dfrac{\begin{vmatrix}-1 &-4 \\ 5 & -1\end{vmatrix}}{\begin{vmatrix}5 &-4 \\ 2& -1\end{vmatrix}}\\\Rightarrow x=\dfrac{1+20}{-5+8}\\\Rightarrow x=7

y=\dfrac{\begin{vmatrix}a_1 &c_1 \\ a_2 & c_1\end{vmatrix}}{\begin{vmatrix}a_1 &b_1 \\ a_2& b_2\end{vmatrix}}\\\Rightarrow y=\dfrac{\begin{vmatrix}5 &-1 \\ 2 & 5\end{vmatrix}}{\begin{vmatrix}5 &-4 \\ 2& -1 \end{vmatrix}}\\\Rightarrow y=\dfrac{25+2}{-5+8}\\\Rightarrow y=9

Verifying the results

\dfrac{7+1}{9+1}=\dfrac{8}{10}=\dfrac{4}{5}

\dfrac{7-5}{9-5}=\dfrac{2}{4}=\dfrac{1}{2}

Hence, the fraction is \dfrac{7}{9}.

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