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Ann [662]
3 years ago
10

Ben got a part-time job. His mom said he must save at least two-thirds of his weekly paycheck, and can spend the rest. If he wis

hes to spend $40 this week, how much must he make?
Mathematics
1 answer:
bixtya [17]3 years ago
7 0

Answer:

120

Step-by-step explanation:

1/3 = 40

3/3= 40 x3

    =120

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Can someone please explain the answer to 4 1/3+ 2 3/4+ 1/6
VladimirAG [237]
By creating a common denominator for all of the fraction (12) the answer would be 7 3/12 or 7 1/4
3 0
3 years ago
Find an equation to the line perpendicular to 4x + 36y =80 an goes through the point (3,6) write answer in form y= Mx+b
Veronika [31]

Answer:

\textbf{y = 9x + 21 }\\

Step-by-step explanation:

\textup{Given equation is: $4x + 36y = 80  $}\\\textup{This can be written in the form of $y = mx + a$ as follows}\\$ 36y = -4x + 80 $\\$ \implies y = \frac{80}{36} - \frac{4}{36}x $\\$ \implies y = \frac{-1}{9}x + \frac{20}{9} $\\\textup{This means that the slope of this line is $m = \frac{-1}{9}$}\\

\textup{Then the slope of the line perpendicular to this line would be \textbf{negative reciprocal of m}.}\\$i.e.,$ \textup{Slope of the perpendicular line would be $m_1 = \frac{-1}{\frac{-1}{9}}$}\\$\implies m_1 = 9$\\

\textup{The perpendicular line passes through the point $(3,6)$}\\\textup{Using the \textbf{point-slope formula}, we get:}\\

$$ y - y_1 = m(x - x_1) $$$ \implies y - 6 = 9(x - 3) $\\\textup{After solving this reduces to $y = 9x + 21$ }

8 0
3 years ago
A machine cuts 25 circuit boards every 5 minutes. What is the unit rate of production for the machine?
irina1246 [14]

Answer:

25 divided by 5 = 5, so the unit rate is 5 circuit boards every minute.

8 0
3 years ago
A highly selective university will only admit students who place at least 2-zcores above the mean on the ACT that
Harrizon [31]

Answer:

30

Step-by-step explanation:

Each z-score = 1 standard deviation from the mean, so 18 + (6 x 2) = 30

3 0
2 years ago
Evaluate the expression:
FinnZ [79.3K]

Answer:

vw= 22

Step-by-step explanation:

To find the dot product of vw, multiply the corresponding numbers and add them.

v= <3, -8, -3> w= <-4, -2, -6>

vw= (3*-4)+(-8*-2)+(-3*-6)

vw= -12+16+18

vw= 4+18

vw= 22

6 0
3 years ago
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