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Damm [24]
2 years ago
10

Steve puts only dimes and quarters into his piggy bank. Right now he has five more dimes than quarters there, and they make $74.

35. How many quarters and how many dimes are there in Steve’s piggy bank?
Mathematics
1 answer:
professor190 [17]2 years ago
6 0
D= number of dimes
q= number of quarters
(Keep in mind, it's not the price, but the number of each)
0.1d+0.25q=74.35
d=q+5
0.1(q+5)+0.25q=74.35
0.35q+0.5=74.35
0.35q=73.85
q=211
d=216
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Answer:

the fire hydrant is 9 meters west and 58 m south of the tower

Step-by-step explanation:

Fire A and Fire B can be represented as a point in the Cartesian coordinate with the tower as the origin. Fire A is 75 meters east  and 40 meters south of the tower, It can be represented as (75, -40).  Fire B is 37 meters west and 64 meters south of the tower,  It can be represented as (-37, -64).

If a point O(x, y) divides a line segment AB in the ratio n:m, with A(x_1,y_1) and B(x_2,y_2), the point O(x, y) is at:

x=\frac{n}{n+m}(x_2-x_1)+x_1\\ \\y=\frac{n}{n+m}(y_2-y_1)+y_1

The fire hydrant (x, y) divides Fire A(75, -40) and fire B(-37, -64) in the ratio 3:1(three fourth), hence:

x=\frac{n}{n+m}(x_2-x_1)+x_1=\frac{3}{4}(-37-75) +75=\frac{3}{4}(-112)+75=-84+75\\x=-9 \\ \\y=\frac{n}{n+m}(y_2-y_1)+y_1=\frac{3}{4}(-64-(-40))+(-40)= \frac{3}{4}(-18)-40=-18-40\\y=-58

The fire hydrant is at (-9, -58). That is the fire hydrant is 9 meters west and 58 m south of the tower

8 0
1 year ago
when a plane flies with the wind, it can travel 1980 miles in 4.5 hours. when the plane flies in the opposite direction, against
Romashka-Z-Leto [24]
Velocity with wind = 1,980 / 4.5 = 440 mph
Velocity against wind =1,980 / 5.5 = 360 mph
Plane in still air - wind speed = 360
Plane in still air + wind speed =440
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2*Plane in still air = 800
Plane in still air = 400 mph
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Answer:

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Step-by-step explanation:

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Now, we can write our function. Let x equal the amount of boxes.

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The 70 represents the unchanging weight of the table.

In terms of W(x), it will be:

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