Tanesha’s utility and telephone bills for the month totaled $150. The utility billwas 4 times as much as the telephone bill. How much was each bill?

Answers

Answer 1

Answer: X represents the cost of the phone bill

4x + x = 150
5x = 150
X = (150/5)
X = 30

Therefore the telephone is $30 and the utility bill is $120

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In the graph above, what's the distance between (0, 2) and (5, 2)? Question 16 options: A) 2 units B) 5 units C) –5 units D) 4 units

Answers

The distance between these points (0, 2) and (5, 2) will be 5 units. Then the correct option is B.

What is the distance between two points?

It is the measure of distance between the two points and is known as length. The length is measured in meters generally.

Let one point be (x, y) and another point be (h, k).

Then the distance between the points will be

D² = (x - h)² + (y - k)²

The two pints are given below.

(0, 2) and (5, 2)

Then the distance between these points (0, 2) and (5, 2) will be given as,

D² = (5 - 0)² + (2 - 2)²

D² = 5²

D = 5 units

The distance between these points (0, 2) and (5, 2) will be 5 units. Then the correct option is B.

Learn more about the distance between two points here:

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Answer:

B) 5 units

Step-by-step explanation:

Which trinomial is equivalent to 3(x-2)^2 - 2(x-1)

Answers

Answer:

$3x^2-14x+14$

Step-by-step explanation:

the expression we have is:

$3(x-2)^2-2(x-1)$

to solve we need to develop the square binomial

$(x-2)^2$

with the following formula:

$(a-b)^2=a^2-2ab+b^2$

So we have:

$(x-2)^2=x^2-2*2x+2^2\n(x-2)^2=x^2-4x+4$

and the expression now is:

$3(x^2-4x+4)-2(x-1)$

developing multiplications to remove parentheses:

$3x^2-3*4x+3*4-2x+2*1\n3x^2-12x+12-2x+2$

joining like terms:

$3x^2-14x+14$

This expression can be simplified so it becomes:

(3x^2 - 4) - (2x - 1)

3x^2 - 2x - 3

What percent of 32.2 is 24.15

Answers

100%/x%=32.2/24.15
(100/x)*x=(32.2/24.15)*x - we multiply both sides of the equation by x
100=1.33333333333*x - we divide both sides of the equation by (1.33333333333) to get x
100/1.33333333333=x
75=x
x=75

now we have:
24.15 is 75% of 32.2

What is 3ft to 7 yd as a fraction in simplest form

Answers

3/7 or three sevenths

Which list of ordered pairs represents solutions to x + y = 2 ? (-4, 6), (0, 2), (4, 2) (-4, -6), (0, 2), (4, 2) (-4, 6), (0, 2), (4, -2)

Answers

The coordinates simply have to be plugged into the equation and determine whether the result is 2.
-4 + 6 =  2
0 + 2 = 2
4 + 2 =  6
-4 + -6 = -10
0 + 2 =  2
4 + 2 = 6
-4 + 6 = 2
0 + 2 = 2
4 + -2 = 2

The solutions (without repeating pairs) are:
(-4, 6), (0, 2), (4, -2)

Answer:

C: (-4, 6), (0, 2), (4, -2)

Step-by-step explanation:

The measures of the exterior angles of a convex quadrilateral are 90°, 10x°, 5x°, and 45. What is the measure of the largest exterior angle?

Answers

The measure of the largest one would be 45

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