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riadik2000 [5.3K]
3 years ago
14

the average of two numbers is 34. The second number is three times the first number. What are the two numbers?

Mathematics
2 answers:
zvonat [6]3 years ago
8 0
Hey!To solve this problem, we need to set up two equations and use the system of equations to solve.

Let x be the first number.
Let y be the second number.

(x + y) ÷ 2 = 34
x = 3y

Now, we can use substitution to solve.

(3y + y) ÷ 2 = 34
4y ÷ 2 = 34
2y = 34
y = 17

Now, you plug the value of y in the equation to solve for x.

x = 3*17
x = 51
hope this helps!!
Irina18 [472]3 years ago
7 0
(x + y)/2 = 34 multiply by 2
x + y = 68                               (1)
3x = y                                     (2)
Put 3x in for y in equation 1
x + 3x = 68
4x = 68
x = 17

One of the numbers is 17
The other one is 51

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Answer:

c(t)=-18t+212.

Step-by-step explanation:

We have been given that 4 days I have 140 copies of a book, 9 days I only have 50 left. We are asked to write an equation c(t)=my+b, where c is number of copies still on hand and t days being available.

We have two points on line (4,140) and (9,50). Now, we will use these points to find slope as:

m=\frac{140-50}{4-9}

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Now, we will use point-slope form of equation y-y_1=m(x-x_1) and substitute m=-18 and coordinates of point (9,50) as:

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y=-18x+212

Therefore, our required equation would be c(t)=-18t+212.

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igor_vitrenko [27]

Answer:

\large\boxed{P=60.56\ m}

Step-by-step explanation:

The formula of an area of a rectangle:

A=lw

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We have

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Substitute:

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The formula of a perimeter of a rectangle:

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Substitute:

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ValentinkaMS [17]

Answer:

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Step-by-step explanation:

In order to prove that two triangles are similar, two known angles of each the triangles need to be shown to be equal

Given that triangle ∠R and ∠S of triangle ΔRST are 95° and 25°, respectively, and that ∠E of ΔEFG is given as 90°, then the corresponding angle on ΔEFG to angle ∠S = 25° which is ∠F should also be 25°

Therefore, the angle on ΔEFG that would prove the triangles are similar is ∠F = 25°.

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3 years ago
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