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kolbaska11 [484]
3 years ago
11

Kathy's internet company charges a connection fee of 0.21 cents for each call and 0.06 cents per minute for each call she made f

rom her computer. Kathy was charged $1.95 for five calls in January. Write an equation that can be used to determine the number of minutes Kathy talked on 5 calls in January.
Mathematics
1 answer:
Sauron [17]3 years ago
7 0
1.95 = .21(5) + .06m

1.95 = 1.05 + .06m

Solving (if needed)
Subtract 1.05 from each side
1.95 - 1.05 = .06m
.90 = .06m
Divide .06 on both sides
15 = m
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Two times the square of five more than a number is seventy-two. Write an equation that models this situation. Solve the equation
katrin [286]
2(5+x)² = 72
(5+x)² = 36
5+x = 6
x = 1
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3 years ago
Line m is intersected by line n. What is the value of x?
11111nata11111 [884]

The line n intersects line m and at the point of intersection two angles are formed, which are 3x and x.

Please note that angles on a straight line equals 180 degrees. That means angle 3x and angle x both sum up to 180. This can be expressed as;

3x + x = 180

4x = 180

Divide both sides of the equation by 4 (to eliminate the 4 on the left hand side and isolate the x)

x = 45

4 0
1 year ago
The sum of two numbers is 90. Their difference is 18. Find<br> the numbers.
Naddik [55]

Answer:

36 & 54

Step-by-step explanation:

<em><u>By </u></em><em><u>Question</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

  • Sum of numbers = 90 .
  • Difference of numbers = 18 .

<em><u>Let </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

  • First Number be x .
  • Second number be y .

<em><u>According</u></em><em><u> to</u></em><em><u> </u></em><em><u>1</u></em><em><u>s</u></em><em><u>t</u></em><em><u> </u></em><em><u>condition</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

: \implies x + y = 90

<u>According</u><u> to</u><u> </u><u>2</u><u>n</u><u>d</u><u> </u><u>condition</u><u> </u><u>:</u><u>-</u><u> </u>

: \implies x - y = 18

<em><u>Adding</u></em><em><u> the</u></em><em><u> </u></em><em><u>equations</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

: \implies 2x = 18 + 90

: \implies 2x = 108

: \implies x = 54

<em><u>Therefore</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

: \implies First number = 54

: \implies Second number = 36

5 0
2 years ago
Read 2 more answers
A statistical test is conducted to see if there is evidence that the proportion of US citizens who can name the capital city of
Delvig [45]

Answer:

a) Sample A

b) Sample D

Step-by-step explanation:

The sample that will provide the most significance evidence for the claim is the one that has the bigger proportion of US citizens who can name the capital city of Canada.

The sample that has the bigger proportion is Sample A, with p=38/40=0.95.

The samples that have a proportion of 0.75 of less surely will give no evidence for the claim.

The sample D has a proportion of p=27/40=0.675, which is less than 0.75, so it doesn't provide evidence for the claim.

Sample C has a proportion of 0.775. Is very close to 0.75, but its value as evidence depends on the level of significance of the test.

4 0
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xxTIMURxx [149]

Answer:

Step-by-step explanation:

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2x - 6 = -2x + 6.  Adding 2x - 6 to both sides results in

4x - 12 = 0, or 4x = 12.  Thus, the solution is x = 3.  ONE SOLUTION

D)2x+6−5x=−3(x             This equation is incomplete

3 0
2 years ago
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