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kvasek [131]
3 years ago
8

The quotient of a number and 2 is the same as the difference of the number doubled and 3. What is the number?

Mathematics
1 answer:
blondinia [14]3 years ago
7 0

Answer:

Step-by-step explanation:

x/2 = 2x-3

x = 4x-6

3x = 6

x = 2

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PSEG Long Island charges its residential customers a little monthly service charge plus an energy charge based on the amount of
german

Using linear function concepts, it is found that:

  • a) It costs $0.1 for each kilowatt hour of electricity used in excess of 250 kWh.
  • b) f(90) = 46.6, which is the cost of 340 kWh of consumption in a month.

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

A <em>linear function </em>has the format given by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

The equation for the cost of h kilowatt hours (kWh) of electricity used in excess of 250 kWh is of:

C = f(h) = 37.6 + 0.1h

Item a:

  • The slope is of m = 0.1, which means that it costs $0.1 for each kilowatt hour of electricity used in excess of 250 kWh.

Item b:

f(90) = 37.6 + 0.1(90) = 37.6 + 9 = 46.6

250 + 90 = 340.

f(90) = 46.6, which is the cost of 340 kWh of consumption in a month.

A similar problem is given at brainly.com/question/24808124

8 0
2 years ago
Finley’s pumpkin had a mass of 6.5 kilograms before he carved it. After carving it the pumpkin had a mass of 3.9 kilograms. What
katen-ka-za [31]
Hello.

The percent decrease in the mass of the pumpkin for this case will be given by:
 (100 - (3.9 / 6.5) * 100) =
 (100-60) =40%


 After carving it, the pumpkin decreases a percent of 40% in the mass.

Have a nice day
4 0
3 years ago
Read 2 more answers
Help me . With work to plz
Zepler [3.9K]

Answer:

57°

Step-by-step explanation:

Angles EGB and EHD are corresponding angles of two parallel lines cut by a transversal; therefore, they are congruent.

m<EGB = m<EHD = 57°

7 0
3 years ago
Pls answer this with a picture showing the correct box plot
faust18 [17]

Answer/Step-by-step explanation:

To find out the mistake of the student, let's find the min, max, median, Q1 and Q3, which make up the 5 important values that are represented in a box plot.

Given, {2, 3, 5, 6, 10, 14, 15},

Minimum value = 2

Median = middle data point = 6

Q1 = 3 (the middle value of the lower part of the data set before the median)

Q3 = 14 (middle value of the upper part of the data set after the median)

Maximum value = 15

If we examine the diagram the student created, you will observe that he plotted the median wrongly. The median, which is represented by the vertical line that divides the box, ought to be at 6 NOT 10.

See the attachment below for the correct box plot.

3 0
3 years ago
Point B lies between points A and C on AC. Let x
Alex_Xolod [135]

Set up the following equation for this segment:

x is segment AB's length, and 3x is segment BC's length. 20 is segment AC's length.

Combine like terms:

Divide both sides by 4 to get x by itself:

x will equal 5.

Plug this value into the values for both segments:

Segment AB:

Segment AB is 5 inches long.

Segment BC:

Segment BC is 15 inches long.

5 0
3 years ago
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