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Dima020 [189]
3 years ago
9

Mr delaney broke his piggy bank with a sledge hammer and found that it only contained quarters and pennies. If he had a gotal of

120coins for a combined value of $16.32 , how many pennies did he have in the piggy bank?
Mathematics
1 answer:
Anni [7]3 years ago
6 0

Answer:

57 Pennies

Step-by-step explanation:

You do 1575 divided by 25 and you find 63 (quarters). Then you do 1632-1575 and you find 57 and then 57+63= 120 coins.

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What is the domain and range of the graph below in interval notation? If union is needed, use Capital U. If infinity is needed u
elena55 [62]

Answer:

DOMAIN: (-\infty,1]\cup(2,\infty)

RANGE: (-\infty,\infty)

Step-by-step explanation:

The domain of a graph is the span of x-values covered by the graph, while the range of a graph is the span of y-values covered by the graph.

DOMAIN:

From the graph, we can see that the x-values covers everything to the left of x=1. Then we stop and then continue beginning at x=2 all the way until positive infinity.

However, note that at x=1, the dot is a closed circle while at x=2, the dot is an open circle. Thus, we will include x=1 into our domain but not include x=2 into our domain.

So, our domain is all values greater than or less than 1, and all values greater than 2.

In interval notation, this is:

(-\infty,1]\cup(2,\infty)

We use brackets with the 1 because we include it in our domain and we use parentheses with the 2 since we do not.

RANGE:

Looking at the graph, it seems that all y-values are covered. The part of the graph on the left covers all y-values less than or equal to 3, while the part of the graph on the right covers all y-values greater than -1. Thus, all y-values are covered.

Our range is all real numbers.

In interval notation, this is:

(-\infty,\infty)

5 0
3 years ago
Find the slope of each line.<br><br> Y= -5/2x — 5
Dmitriy789 [7]
To find the slope of the line, simply remember the basic equation for the slope intercept.

Y = mx +/- b

Where m = slope or rise/run
b = y intercept.

In this case the slope is a negative value and is -5/2.
3 0
3 years ago
60 pOINTS HELP PLEASE 4. A 20-kg child is tossed up into the air by her parent. The child is 2 meters off the ground traveling 5
Solnce55 [7]
K.E=0.5mv^2
GPE=mgh
The child has both K.E and GPE
ke = 0.5 \times 20 \times  {5}^{2}  \\ ke = 10 \times 25 \\ ke = 250 \: joules
gpe = 20 \times 9.81 \times 2 \\ gpe = 40 \times 9.81 \\ gpe = 392.4 \: joules
g is taken as 9.81
6 0
3 years ago
If f(x)=2x-5, what is value of f(6)
mars1129 [50]

The value of f(6) = 7

2 x 6 = 12 - 5 = 7

7 0
3 years ago
The height of the tunnel at the center is 54 ft, and the vertical clearance must be 18 ft at a point 8 ft from the center. Find
IrinaVladis [17]

the standard form for a horizontal ellipse is

X^2/a^2 + y^2/b^2 = 1

Substitute 54 for b and and use (8,18) as the

point to find a

x=8

y=18

8^2/a^2 + 18^2/54^2 =1

64/a^2 +  324/2916 = 1

324/2916 reduces to 1/9

64/a^2 + 1/9 = 1

64/a^2= 1-1/9

64/a^2 = 8/9

64*9/8 = a^2

576/8 = 72

A^2 = 72

A = square root(72) = 8.485

 So formula

would be x^2/72 + y^2/2916 =1

8 0
3 years ago
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