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Fiesta28 [93]
3 years ago
13

21 trucks, each with a 2.5-ton payload, are needed to unload a freight train. How many trucks, each with a 3.5-ton payload, woul

d be needed to do the same job? What is the constant of variation?
Mathematics
1 answer:
castortr0y [4]3 years ago
6 0
Tons needed to unload a freight train= 21×2.5 =52.5
number of 3.5-ton payload trucks needed to unload a freight train=52.5÷3.5 = 15

15 Trucks , Each With A 3.5-Ton Payloaf , Would be Needed To Do The Same Job. 

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Carpet King is trying to increase sales, and it has instituted a new promotion. All purchases can be
dusya [7]

Answer:

The Schusters will have to pay $2,034 in the sixth month.

Step-by-step explanation:

Since Carpet King is trying to increase sales, and it has instituted a new promotion by which all purchases can be paid on the installment plan with no interest, as long as the total is paid in full within six months, and there is a $20 minimum monthly payment required, if the Schuster family buys carpeting for $2,134 and makes only the minimum payment for five months, to determine how much will they have to pay in the sixth month, the following calculation must be performed:

2134 - (5 x 20) = X

2134 - 100 = X

2034 = X

Therefore, the Schusters will have to pay $ 2,034 in the sixth month.

3 0
3 years ago
I need help in solving this problem (ASAP)
zhannawk [14.2K]

Answer:

The answer is y=24

Step-by-step explanation:

The <u>triangle is a 30-60-90 triangle</u>, which means that the it follows the <em>respective ratio of x:x</em>\sqrt{3}<em>:2x. </em>Since we know that the 30 degree value is 8\sqrt{3}, we can establish that the 60 degree value is 8\sqrt{3}*\sqrt{3} = 24.

4 0
3 years ago
Solve the simultaneous equations:<br><br> 5x+4y=5<br> 2x+7y=29
OLga [1]

Answer:

x=−3 and y=5

Step-by-step explanation:

3 0
3 years ago
On a coordinate plane, triangles R S T and L M N are shown. Triangle R S T has points (5, 5), (2, 1), and (1, 3). Triangle L M N
ivolga24 [154]

Answer:

LMN has a larger area

Step-by-step explanation:

Given

RST

R =(5,5)

S= (2,1)

T = (1,3)

LMN

L = (0,-1)

M= (2,-4)

N= (-2,-3)

Required

Compare both areas

The area of triangle is:

Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|

For RST, we have:

Area = \frac{1}{2}|5*1 - 2*5 + 2*3 - 1*1 + 1*5 - 5*3|

Area = \frac{1}{2}|-10|

Remove absolute signs

Area = \frac{1}{2}*10

Area = 10

For LMN, we have:

Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|

Area = \frac{1}{2}|0*-4-2*-1+2*-3--2*-4--2*-1-0*-3|

Area = \frac{1}{2}|-14|

Remove absolute signs

Area = \frac{1}{2}*14

Area = 7

<em>By comparing both areas, we can conclude that LMN has a larger area</em>

3 0
3 years ago
the long jump pit was recently rebuilt to make it level with the runway. Volunteers provided pieces of wood to frame in the pit.
Keith_Richards [23]

Answer:

2

Step-by-step explanation:

8 0
3 years ago
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