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Makovka662 [10]
3 years ago
6

You need 12 gallons of paint to paint the exterior of your house. At one store the paint sells for $19.95 a gallon. At a second

store the same brand of paint sells for $37.98 for two gallons. Which store is less expensive? How much would you save by purchasing your paint at the less expensive store?
Mathematics
2 answers:
Korvikt [17]3 years ago
8 0

Answer:

The store with $37.98 for two gallons is less expensive.

11.52$ can be saved by buying from shop with $37.98 for two gallons

Step-by-step explanation:

You need 12 gallons of paint to paint the exterior of your house.

Paint required = 12 gallons.

At one store the paint sells for $19.95 a gallon. At a second store the same brand of paint sells for $37.98 for two gallons.

Price of paint in shop 1 = 19.95$ per gallon.

Price of paint in shop 2 = 37.98$ per 2 gallons. = 18.99 $ per gallon.

So the store with $37.98 for two gallons is less expensive.

Money required if we are buying from shop 1 = 12 x 19.95 = 239.4$

Money required if we are buying from shop 2 = 12 x 18.99 = 227.88$

Savings if we buy from shop 2 = 239.4 - 227.88 = 11.52$

11.52$ can be saved.

nikklg [1K]3 years ago
5 0

Answer:

it is $239.40 for $19.95 and 12 gallons and for $37.98 for 6 gallons it is $227.88. you would save $11.52

Step-by-step explanation:

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If a baseball player hits a baseball from 4 feet off the ground with an initial velocity of 64 feet per second, how long will it
e-lub [12.9K]
This is the concept of trajectories;
We are required to calculate the time taken for the base ball whose distant to reach the maximum height has been modeled by h=-16t^2+64t+4.2 took to hit the ground. Here we proceed as follows;
At the time when the base ball hits the ground the height,h=0
Thus;
-16t^2+64t+4.2=0
this is a quadratic equation, to solve the quadratic equation we use the formula;
t=[-b+/- sqrt(b^2-4ac)]/(2a)
where;
a=-16,b=64, c=4.2
thus substituting the values in our formula we get:
t=[-64+/-sqrt(64^2-4*(-16)*4.2)]/(-16*2)
t=[-64+/- sqrt(4364.8)]/(-32)
t=[-64+/-66.1]/(-32)
t=4.1 or-0.1
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7 0
3 years ago
What is the solution to the system of equations below
nekit [7.7K]

Answer:

There is no solution.

6 0
3 years ago
As part of quality-control program, 3 light bulbs from each bath of 100 are tested. In how many ways can this test batch be chos
hichkok12 [17]

Answer:

<h3>By 161700 ways this test batch can be chosen.</h3>

Step-by-step explanation:

We are given that total number of bulbs are = 100.

Number of bulbs are tested = 3.

Please note, when order it not important, we apply combination.

Choosing 3 bulbs out of 100 don't need any specific order.

Therefore, applying combination formula for choosing 3 bulbs out of 100 bulbs.

^nCr = \frac{n!}{(n-r)!r!} read as r out of n.

Plugging n=100 and r=3 in above formula, we get

^100C3 = \frac{100!}{(100-3)!3!}

Expanding 100! upto 97!, we get

=\frac{100\times 99\times 98\times 97!}{97!3!}

Crossing out common 97! from top and bottom, we get

=\frac{100\times 99\times 98}{3!}

Expanding 3!, we get

=\frac{100\times 99\times 98}{3\times 2\times 1}

= 100 × 33  × 49

= 161700 ways.

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3 0
4 years ago
A competitive diver dives from a 33-foot high diving board. The height of the diver in feet after 't' seconds is given by u(t) =
ludmilkaskok [199]

Answer:

t  = 0.375s

Step-by-step explanation:

Given

h(t) = -16t^2 + 4t + 33 --- driver 1

Rate = 2ft/s -- driver 2

height = 33ft

Required

The time they passed each other

First, we determine the function of driver 2.

We have that:

Rate = 2ft/s and height = 33ft

So, the function is:

h_2(t) = Height - Rate * t

h_2(t) = 33 - 2t

The time they drive pass each other is calculated as:

h(t) = h_2(t)

-16t^2 + 4t + 33= 33 - 2t

Collect like terms

-16t^2 + 4t + 2t= 33 - 33

-16t^2 + 6t= 0

Divide through by 2t

-8t + 3= 0

Solve for -8t

-8t  = -3

Solve for t

t  = \frac{-3}{-8}

t  = 0.375s

7 0
3 years ago
Does anybody know this ??
Degger [83]

the correct Answer is:

16

3 0
3 years ago
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