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cricket20 [7]
3 years ago
9

Chuck mallory makes a deposit at an atm and walks away with $50.00 in cash and the receipt for the $538.00 total deposit he made

. He remembers that the checks deposited totaled twice the currency he deposited. He did not deposit any coins. How much In currency did he deposit ? How much in checks did he deposit ?
Mathematics
1 answer:
Delicious77 [7]3 years ago
6 0
I think this answer is $176.00
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Twelve boys and fourteen girls decide to rent a 16 passenger van and a 10 passenger van to drive to a
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6 0
2 years ago
Among two supplementary angles, the measure of the larger angle is 44°
zhuklara [117]

Answer:

68° and 112°

Step-by-step explanation:

Supplementary angles sum to 180°

let the smaller angle be x then the larger angle is x + 44 , then

x + x + 44 = 180 , that is

2x + 44 = 180 ( subtract 44 from both sides )

2x = 136 ( divide both sides by 2 )

x = 68

Smaller angle = 68° and

larger angle = x + 44 = 68 + 44 = 112°

6 0
2 years ago
Graph the equation y=-1(x-3)^2+4
Elena L [17]

Answer:

Direction : Open Down

Vertex : (3,4)

Focus : (3,15/4)

Axis of Symmetry : x=3

Directrix : y=17/4

x : 1,2,3,4,5

y : 0,3,4,3,0

Step-by-step explanation: Graph the parabola using the direction, vertex, focus, and axis symmetry. Graph is included down below!

Hope this helps you out! ☺

3 0
2 years ago
What is the area of the figure shown?
musickatia [10]

Check the picture below.

now, we're making an assumption that, the two blue shaded region are equal in shape, and thus if that's so, that area above the 14 is 6 and below it is also 6, 14 + 6 + 6 = 26.

so hmm if we simply get the area of the trapezoid and subtract the area of the yellow triangle and the area of the cyan triangle, what's leftover is what we didn't subtract, namely the shaded region.

\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ h=15\\ a=14\\ b=26 \end{cases}\implies A=\cfrac{15(14+26)}{2}\implies A=300 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Areas}}{\stackrel{trapezoid}{300}~~ - ~~\stackrel{yellow~triangle}{\cfrac{1}{2}(26)(9)}~~ - ~~\stackrel{cyan~triangle}{\cfrac{1}{2}(15)(6)}} \\\\\\ 300~~ - ~~117~~ - ~~45\implies 138\qquad \textit{blue shaded area}

8 0
1 year ago
Arbara signed up for dance lessons at Dance Unlimited. She was charged $55 per month for lessons and a one-time recital fee of $
kramer

Given:

Per month fee = $55

One-time recital fee = $165

The equation represents the $495 total cost that Barbara paid to Dance Unlimited.

495=165+55m

To find:

We need to find the number of month Barbara receive dance lessons from Dance Unlimited.

Solution:

We have,

495=165+55m

Here, m is number of months. We need to isolate m.

Subtract 165 from both sides.

495-165=55m

330=55m

Divide both sides by 55.

\dfrac{330}{55}=m

6=m

The value of m is 6. So, the required number of month Barbara receive dance lessons from Dance Unlimited is 6.

8 0
3 years ago
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