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3 years ago

The sum of two numbers is 18. The quotient of the two numbers is 17. What are the two numbers?

1 answer:

5 0

Let the two numbers be x and y
x + y = 18 . . . . . . . . (1)
x/y = 17 . . . . . . . . (2)
from (2): x = 17y
substituting for x in (1), gives
17y + y = 18
18y = 18
y = 18/18 = 1
x = 17y = 17(1) = 17

Therefore the two numbers are: 1 and 17

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Please help me find 'x' your help would be much appreciated -Thanks

Vladimir79 [104]

Answer:

x=25.

Step-by-step explanation:

We know because of corresponding angles, the sum of the angle adjacent to (2x-5) and (2x-5) is 180 degrees

2x-5+5x+10=180

7x+5=180

7x=175

x=25

4 0

3 years ago

What is the distance between the points (-2,4) and (6,-4), rounded to the nearest tenth

jarptica [38.1K]

9514 1404 393

Answer:

11.3 units

Step-by-step explanation:

The distance can be found using the distance formula:

d = √((x2 -x1)² +(y2 -y1)²)

d = √((6 -(-2))² +(-4-4)²) = √(8² +(-8)²) = √(64·2)

d = 8√2 ≈ 11.3

The distance is approximately 11.3 units.

5 0

2 years ago

What properties can be used to solve 7y-15=-29. Identity property of multiplication,addition property of equality ,distributive

Sveta_85 [38]

Answer:

Addition Property of Equality.

Inverse property of multiplication.

Step-by-step explanation:

Given the equation:

$7y-15=-29$

First of all, let us use Addition Property of Equality.

According to the property, if we add a number on both sides of an equality, there is no change in the equality.

In other words, the equality will be same if we add the same number on Left Hand Side and Right Hand Side of the equality.

First of all, let us add 15 on both sides of the equality:

$7y-15+15=-29+15\\\Rightarrow 7y=-14$

Now, let us Inverse property of multiplication.

i.e. Multiplication of a number with its inverse is equal to 1.

$a\times \frac{1}{a} = 1$

So, let us multiply the given equation with $\frac{1}7$

$7y \times \dfrac{1}{7}=-14 \times \dfrac{1}{7}\\\Rightarrow 1y =-2\\\Rightarrow y=-2$

The properties used are:

Addition Property of Equality.

Inverse property of multiplication.

7 0

3 years ago

B 6x+7 3x+c 2x-1 What is the value of c in degrees

andreev551 [17]

Answer:

1.x=15

2.<A=29

Step-by-step explanation:

(2x-1)+(3x+9)+(6x+7)=180

2x-1+3x+9+6x+7=180

11x+15=180

11x=180-15

11x=165

x=165/11

x=15

2.<A=2x-1

<A=2*15-1

<A=30-1

<A=29

3 0

2 years ago

George has only Quarters and nickels in his piggy bank.He has a total of 90 coins.The value of the coins is $16.10. Write and so

son4ous [18]

Answer:

The number of

Quarters = q = 58 quarters

Nickels = n = 32 nickels

Step-by-step explanation:

It is important to note that:

A quarter is worth 25 cents = 0.25q

A nickel is worth 5 cents = 0.05n

George has only Quarters and nickels in his piggy bank.

Let the number of

Quarters = q

Nickels = n

He has a total of 90 coins.

Hence,

q + n = 90.... Equation 1

q = 90 - n

The value of the coins is $16.10.

Hence,

0.25q + 0.05n = 16.10....Equation 2

We substitute 90 - n for q in Equation 2

0.25(90 - n) + 0.05n = 16.10

22.5 - 0.25n + 0.05n = 16.10

Collect like terms

- 0.25n + 0.05n = 16.10 - 22.5

-0.2n = - 6.4

n = -6.4/-0.2

n = 32 nickels

Solving for q

q = 90 - n

q = 90 - 32

q = 58 quarters

Therefore, the number of

Quarters = q = 58 quarters

Nickels = n = 32 nickels

3 0

3 years ago