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Anarel [89]
3 years ago
14

The sum of three numbers is 160. The third number is 4 times the second. The first number is 10 more than the second. What are t

he numbers?​
Mathematics
1 answer:
const2013 [10]3 years ago
5 0
160 = (10 + x) + x + 4x
160 = 6x + 10
150 = 6x
150/6 = x
x = 25

second number = x = 25
third number = 4x = 100
first number = x + 10 = 35
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a ferry shuttles people from one side of a river to the other. the speed of the ferry is still water is 25 mi/h. the river flows
Anarel [89]

Answer:

The Terry's resultant speed is 27mi/h

Direction of ferry=20°

Step-by-step explanation:

(-25,0) + ( 0, 9)= (-25, -9) is the vector representing the movement of the ferry

Speed of ferry = sqrt[(-25)^2 + (-9)^2]

Speed= sqrt (-625 + (-81))

Speed= sqrt(-706)

Speed=26.57mi/h

Nearest tenth,speed= 27mi/h

Tanz° = (-9/-25)

Tanz°= 0.36

Z°= tan^-1 0.36

Z= 19.80°

Nearest tenth,z=20°

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3 years ago
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mash [69]

Answer:

it's 60

Step-by-step explanation:

I have done that before

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3 years ago
An integer is three more than another integer. Twice the larger integer is two less
Amiraneli [1.4K]

Answer:

The integers are 4 and 7 or -2 and 1.

Step-by-step explanation:

You can make a system of equations with the description of the two integers.

1. x = y + 3

2. 2x + 2 = y^2

The simplest and the fastest way to solve this system in this case is substitution. You can substitute x for y + 3 in the second equation.

1. x = y + 3

2. 2(y + 3) + 2 = y^2

Now simplify and solve the second one. For convenience, I will just disregard the first equation for now.

2y + 6 + 2 = y^2

y^2 - 2y - 8 = 0

You can factor this equation to solve for y.

(y - 4) (y + 2) = 0

y = 4, y = -2

Now we can substitute the value of y for x in the first equation.

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3 0
3 years ago
By looking at the calculation below, write down a multiplication fact using the same numbers.
IrinaVladis [17]

Answer:

98 x 3 = 294 or 3 x 98 = 294

Step-by-step explanation:

Since 294 divided by 3 is 98, that means 294 is 3 times 98. So, we can say:

3 x 98 = 294

We can also say that 98 x 3 = 294 since it doesn't matter in which order you multiply.

7 0
3 years ago
Read 2 more answers
find two consecutive odd integers that 7 times the smaller integer is 61 more than 2 times the larger integer.
Aleks04 [339]

Answer:

x = 13     smaller integer

x + 2 = 15  the other integer

Step-by-step explanation:

x = the smaller integer

x + 2 = the next integer          

7(x) = 61 + 2(x + 2)

7x = 61 + 2x +4

5x = 61 + 4

5x  = 65

x = 13     smaller integer

x + 2 = 15  the other integer

8 0
3 years ago
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