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Irina18 [472]
2 years ago
11

William has 32 coins that are all either quarters or dimes. The coins have a value of $5.00. How many dimes does William have?

Mathematics
1 answer:
Arte-miy333 [17]2 years ago
5 0

Answer:

Step-by-step explanation:

d + q = 32

.10d + .25q = 5.00

d + q = 32

10d + 25q = 500

-10d - 10q = -320

 10d + 25q = 500

15q = 180

q= 12 quarters

d + 12 = 32

d = 20 dimes

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Average speed of Car 1 = 45 mph. Average speed of Car 2 = 65 mph. Time elapsed between start of Car 1 and start of Car 2 = 18 mi
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Is this math? if so let me know maybe I could try to help
3 0
2 years ago
A hovercraft takes off from a platform. Its height (in meters), xxx seconds after takeoff, is modeled by: h(x)=-2x^2+20x+48h(x)=
Ad libitum [116K]

the maximum height is the y-value of the vertex.

h(x) = -2x² + 20x + 48

      <em>  a=-2, b=20, c=48</em>

x = \frac{-b}{2a} = \frac{-20}{2(-2)} = \frac{-20}{-4} = 5

h(5) = -2(5)² + 20(5) + 48

      =  -50   +  100   + 48

      =          50         + 48

      =                98

Answer: 98 meters

8 0
2 years ago
A ball is thrown from a height of 43 meters
AveGali [126]
When the ball will hit the ground, the height will be zero. So we need to replace h with 0 in our equation, and solve for t:
0=43-4t-5t^{2}
-5t^{2}-4t+43=0
To solve this equation we are going to use the quadratic formula: t= \frac{-b(+/-) \sqrt{b^{2}-4ac} }{2a}.
From our height equation, we can infer that a=-5, b=-4, and c=43. So lets replace those values in our quadratic formula to find t
t= \frac{-(-4)(+/-) \sqrt{(-4)^{2}-4(-5)(43)} }{2(-5)}
t=- \frac{5}{8} - \frac{ \sqrt{713} }{8} or t=- \frac{5}{8} + \frac{ \sqrt{713} }{8}
t=-3.96 or t=2.71
Since time cannot be negative, t=2.71 is the solution of our equation.

We can conclude that the ball will hit the ground after 2.71 seconds.
4 0
2 years ago
An oblique prism with a square base of edge length x units has a volume of One-halfx3 cubic units. Which expression represents t
lara [203]

Answer:one-half x units

Step-by-step explanation:

Given

Prism has a square base with length x\ units

If the volume of prism V=\frac{1}{2}x^3\ units

We know

Volume=base\ area\times height

Base area =x\times x=x^2\ units

height=\frac{Volume}{area}

height=\frac{\frac{1}{2}x^3}{x^2}

height=\frac{x}{2}\ units

7 0
2 years ago
Read 2 more answers
Turkey sandwiches cost $2.50 and veggie wraps cost $3.50 at a snack stand. Ben has sold no more than $30 worth of turkey sandwic
grigory [225]

<u>Answer:</u>

The maximum number of turkey sandwiches Ben could have sold is 6.

<u>Step-by-step explanation:</u>

We are given that turkey sandwiches cost $2.50 and veggie wraps cost $3.50 at a snack stand.

Given the information, we are to find the maximum value of turkey sandwiches Ben could have sold.

2 . 5 0 x + 3 . 5 0 y \leq 3 0

Number of veggie wraps sold (y) = 4

2.50x + 3.50(4) <   30

2.50x + 14          <   30

<u>           - 14               -14 </u>

2.50x                   <   16

x

x

The maximum number of turkey sandwiches Ben could have sold is 6.

4 0
2 years ago
Read 2 more answers
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