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goblinko [34]
4 years ago
13

Both families use 1250 kWh for the given 30 day period. The Freeman family uses 400 kWh during on-peak hours and 850 during off-

peak hours. Which family ends up paying more for their utilities? How much more?
Mathematics
1 answer:
Natalka [10]4 years ago
8 0
Ok ummm I honestly don’t know I’m so sorry I couldn’t help you wit this prob
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The points (-1.6, 2.7) and (3.2, 7.98) are on the graph of a linear relationship between two variables, r and y.
Aleksandr [31]

Answer:

  y = 1.1x +4.46

  y = 129.86 for x = 114

Step-by-step explanation:

The two-point form of the the equation for a line is useful for this.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (7.98 -2.7)/(3.2 -(-1.6))(x -(-1.6)) + 2.7

  y = 5.28/4.8(x +1.6) + 2.7

  y = 1.1x +1.76 +2.7

  y = 1.1x +4.46

__

When x=114, the value of y is ...

  y = 1.1(114) +4.46

  y = 129.86

6 0
3 years ago
Brent has a $400 console with a credit card that has 25% APR is minimum payment is $10 per month will he pay more and less than
Afina-wow [57]

Answer:

he will pay more

Step-by-step explanation:

in totoal he will pay 413.40 because apr is interest

his interest total will be 13.40$

3 0
3 years ago
Mr. Gonzales is replacing a cylindrical air-conditioning duct. He estimates the radius of the duct by folding a ruler to form tw
GalinKa [24]

Answer:

  • <em><u>5.6875 in</u></em>

Explanation:

At the point of tangency, the <em>tangent </em>to a circle and the <em>radius</em> form a right triangle (the radius is perpendicular to the tangent).

Here you are given the length of the tangent (6in), and the distance from the bisected vertex to the circle (2.75 in)

I tried to upload the drawing but the tool is not allowing it now.

In the figure:

  • The length of the tangent (6 in) is one leg of the triangle
  • The distance from vertex and the circle (2.75in)  along with the radius forms the hypotenuse of the right triangle: 2.75 + r.
  • The other leg is the radius, r.

Then, you can use Pythagorean theorem:

  • (r)² + (6)² = (r +2.75)²

Solve:

  • r² + 36 =  r² + 5.5r + 7.5625
  • 5.5r = 36 - 7.5625
  • 5.5r = 28.4375
  • r = 5.6875

The solution is in inches: r = 5.6875 inches ← answer

4 0
3 years ago
State whether the lines are parallel, perpendicular, coinciding, or neither: 6x+3y=–15 and y–3=–2x
lianna [129]

Answer:

Parallel

<u>Step-By-Step Explanation:</u>

Put the Function in Slope Intercept Form and Find the Slope of 6x+3y = 15

6x+3y = 15

3y = -6x + 15

3y/3 = -6x/3 + 15/3

y = -2x + 5

<u>We can see that the slope of 6x+3y = 15 is -2</u>

Put the Function in Slope Intercept Form and Find the Slope of y–3=–2x

y–3=–2x

y = -2x + 3

Here are our two Functions In Slope Intercept Form

y = -2x + 5

y = -2x + 3

<u>Remember the m = slope and the b = y-intercept</u>

y = mx + b

y = -2x + 5

y = -2x + 3

------------------------------------------------------------------------------------------------------

We can see both equations have the same slope of -2 so this means they could be parallel because parallel functions have the same slope but coinciding functions have the same slope too. To tell if the two functions are coinciding, the functions need to have the same slope and the same y-intercept. Looking at the two functions, we can see they have the same slope of -2 but their y-intercept are different so this makes the two functions parallel.

4 0
4 years ago
What is the GCF of 2x4 and 4x2<br> a) 2x^2. B) 2x^4. C) 4x^2
Zinaida [17]

Answer:

a)\ \ \ 2x^2

Step-by-step explanation:

-Greatest common factor is defined as the greatest positive that divides a set of whole numbers evenly and without a remainder.

-Given the set 2x^4\ \ and \ \ 4x^2

we notice, that the GCF can't be an integer with the power of x greater than 2:

=>\frac{2x^4}{2x^2}=x^2\\\\=>\frac{4x^2}{2x^2}=2\\\\GCF= 2x^2

Since, there's no other positive integer than can evenly divide the set of quotients, the GCF is 2x^2

8 0
3 years ago
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