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3 years ago

8

Selene's checking account balance was -$30, and then she withdrew $40 more. What is her checking account balance after the withd

rawal?

1 answer:

irakobra [83]3 years ago

6 0

-$70 is her balance after withdrawing the forty dollars

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Pls help!!!!Shawn used 15 centimeters of tape to wrap 5 presents . How much tape will Shawn need I all if he has to wrap 13 pres

Ilia_Sergeevich [38]

Answer:39

Step-by-step explanation:

15÷5=3

3×13=39

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3 years ago

You just hung a picture twelve inches above the wall trim.

GenaCL600 [577]

Yes I sure did hang the picture what about it

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2 years ago

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 $\dfrac{7}{9}$ .

6 0

3 years ago

PLEASE HELP ME I AM ON A TEST PLEASE!!!!!!!!!!!!

Kobotan [32]

Answer:

1st. Add 5 each time so 5 times 12 = 60 so

5

10

15

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25

30

35

40

45

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55

60

2: H = 5M

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Find an equation of variation where y varies jointly as x and the square of z, and where y=70, when x=21 and z=5.

Bezzdna [24]

Answer:

$y = 181.75xz^2$

Step-by-step explanation:

Given

y jointly varies to x and z^2

Required

Find the equation

We start by writing out the variation;

$y\ \alpha\ xz^2$

Write as equation

$y = kxz^2$

Substitute values of x,y and z

$70 = k * 21 * 25^2$

$70 = k * 21 * 25 * 25$

$70 = k * 13125$

Divide both sides by 7

$\frac{70}{13125} = \frac{k * 131251}{13125}$

$\frac{70}{13125} = k$

$187.5 = k$

$k = 181.75$

Substitute k in $y = kxz^2$

$y = 181.75xz^2$

4 0

3 years ago