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telo118 [61]
4 years ago
11

In one day, 18 people each withdrew $100 from an atm machine.What was the overall change in the amount of money in the atm machi

ne
Mathematics
1 answer:
tamaranim1 [39]4 years ago
7 0

Answer:

1,800??

Step-by-step explanation:


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Dave and Sandy Hartranft are frequent flyers with a particular airline. They often fly from City A to City B, a distance of 756
horsena [70]

Answer:

Plane = 441 mi/h; wind =  63 mi/h

Step-by-step explanation:

distance = rate × time

 Let p = the plane's speed in still air

and w = the wind speed . Then,

p + w = speed with wind

 p - w = speed against wind

We have two conditions:

(1)  756 = (p - w) × 2

(2) 756 = (p + w) × 1.5

Distribute the constants                  (3)    756 = 2p - 2w

                                                          (4)   756 = 1.5p + 1.5 w  

Multiply Equation (3) by 3                (5) 2268 = 6p  -  6w

Multiply Equation (4) by 4                (6) 3024 = 6p + 6w

Add Equations (5) and (6)                     5292 = 12p

Divide each side by 12                     (7)        p = 441 mi/h

Substitute (7) into Equation(3)                 756 = 882 - 2w

Add 2w to each side                      2w + 756 = 882

Subtract 756 from each side                    2w = 126

Divide each side by 2                                 w = 63 mph

The plane's speed in still air is 441 mi/h.

The wind speed is 63 mph.

Check:

(1) 756 = (441 - 63) × 2     (2) 756 = (441 + 63) × 1.5

   756 = 378 × 2                   756 = 504 × 1.5

   756 = 756                         756 = 756

8 0
3 years ago
A hemisphere fake stone made of clay has a diameter of 16 inches. The density of clay is 0.0035 pounds per cubic inch. The clay
Rufina [12.5K]

Answer:

$137.82

Step-by-step explanation:

The volume of a hemisphere stone is given by the volume of a half-sphere:

Volume = (2/3) * pi * radius^3

If the diameter is 16 inches, the radius is 16/2 = 8 inches, so the volume is:

Volume = (2/3) * pi * 8^3 = 1072.33 in3

We need a total of 8 stones, so the total volume is:

Total Volume = 8 * 1072.33 = 8578.64 in3

The density of clay is 0.0035 pounds per cubic inch, so the total weight of the 8 stones is:

Weight = Total Volume * density = 8578.63 * 0.0035 = 30.0252 pounds

Finally, if the price of each pound of clay if $4,59, the final price is:

Price = 30.0252 * 4.59 = $137.82

8 0
3 years ago
Tina is making a scale model of A monument that is 155 feet tall she uses a scale of 1 inch = 5 feet how tall should Tina make h
fenix001 [56]

Tina should make 31 inch tall model to replicate 155 feet tall monument.

Step-by-step explanation:

This problem can be solved by direct unitary methods easily-

Firstly, Scale is the ratio of the dimension of the original substance to the dimension of a model

Scale= original dimension/ model dimension

Model is the miniaturised representation of a substance.

The monument is 155 feet tall

Tina replicates it with a scale 1inch: 5 feet

Thus, this means that Tina would need 155*1/5 = 31 inch tall model to replicate the complete length of the monument.

Hence Tina needs to make 31-inch tall model.

3 0
3 years ago
Read 2 more answers
Find the measure of the exterior Angle1 (I’m a bit confused on how exterior angles work)
sergejj [24]

Answer:

70

Step-by-step explanation:

I would do 40 + 30 = 70

180-70 = 110

110 is the last angle bc all angles add to 180 in a triangle

Then 180 - 110 = 70 for angle 1 because their supplementary

I don't know if you could just add the 2 inside angles but I would do it this way to be safe until I know for sure.

7 0
3 years ago
write a system of linear equations in which (3,-5) is a solution of equation 1 but not a solution of equation 2 and (-1,7) is a
Ainat [17]

Answer:

Examine this system of linear equations.

y – 3x = –2,

y = 4

Which is a solution of the system of equations?

(0, 4)

(2, 2)

(2, 4)=this is the correct answer

(4, 2)

Step-by-step explanation:

thats the answer

(2,4)

4 0
3 years ago
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