Diane purchased a prepaid phone card for $15. Long distance calls cost 17 cents a minute using this card. Diane used her card only once to make a long distance call. If the remaining credit on her card is $11.26, how many minutes did her call last?

Answer:

1. 2(x - 5) = 2(x - 5) has infinitely many solutions

2. 5(x + 4) = 5(x-6) has no solution

3. 5(x + 4) = 3(x-6) has one solution

4. 4(x - 2) = 4(x + 2) has no solution

5. x + 2(x - 5) = 3(x - 2) - 4 has infinitely many solutions

Step-by-step explanation:

I did the assignment and I got it correct edge2020

1. 2(x-5)= 2(x-5) = Infinitely many solutions.

2. 5(x+4) = 5(x-6) =  No solution

3. 5(x+4) = 3(x-6) =  One solution

4. 4(x-2) = 4(x+2) = No solution

5. x+2(x-5) = 3(x-2) - 4 = Infinitely many solution

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now,

The given equations is;

1. 2(x-5) = 2(x-5)

2x-10 = 2x-10

0=0

Hence, This equation has infinitely many solution

2. 5(x+4) = 5(x-6)

5x+20 = 5x-30

20 ≠ (-30)

Thus, This equation has no solution

3. 5(x+4) = 3(x-6)

5x+20 = 3x -18

5x-3x = -20-18

2x = -38

x=-19

Thus ,this equation has one solution

4. 4(x-2) = 4(x+2)

4x-8 = 4x+8

-8 = 8

Thus, this equation has no solution

5- x+2(x-5) = 3(x-2) -4

x+2x-10 = 3x-6-4

3x-10 = 3x-10

0=0

Thus, this equation has infinitely many solution

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Answer:

the answer is D

[tex] - 7 < y \leqslant 5[/tex]

Answer:

C.

Step-by-step explanation:

It's the only one that doesn't start exactly on the line of (1,5) but it's starts on (1,4.50) to show 4.50 per pound.

Answer:

Subtraction

Step-by-step explanation:

This is because you would minus 3 from both sides, leaving:

2x=8

Then, you would divide both sides by 2 to isolate x.

x=4

Hope this helps!

Answer:

D

Step-by-step explanation:

Hope this helped, if not, don’t hate.

Answer:

c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

Yes they are the same (equivalent)

Step-by-step explanation:

replace y with 2

Answer:

Step-by-step explanation:

slope is 1

y intercept is 7

Step-by-step explanation:

V = 1/3 pi r^2 h

root(V ÷ 1/3 pi) = h

Answer:  Noah's mixture would be more flavorful and fizzy because his ratio of water and fizz powder aren't to off (not a large ratio gap). Andre's orange fizz would be a little more watered down making it less fizzy and less flavorful because 8 cups were added instead of 6 or 7 cups of water. Also Noah would have less drink made them Andre because he only used 6 cups of water.

Step-by-step explanation:

Answer:

+5

Step-by-step explanation:

the average rate of change is adding 5

Answer:

1.08 • 10⁴ = 10,800

Step-by-step explanation:

The amount of heat to add to boil the water is 42000J

The specific heat capacity of a substance is the energy required to raise the temperature of of the substance by 1°C or 1k. It is measured in J/kg/k

The amount of heat to raise temperature is given as

H= mck

where k is the temperature change.

converting 212°f to Celsius

C = 5/9( 212 -32) = 5/9 × 180

= 100°C

converting 194°f to Celsius

C = 5/9( 194 -32)

C = 5/9 × 162

C = 90°C

Therefore;

H = 4200 × 100-90

H = 42000J

Therefore, the amount of heat to boil the water is 42000J.

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Answer:

203

Step-by-step explanation:

10x + 5.5y + 15h

x= 4

y= 16

h= 5

10(4) + 5.5(16) + 15(5)

40 + 88 + 75

203

Answer:

$93.50

Step-by-step explanation:

Ok so divide $10.00 by 2 which is $5.00 and divide $5.50 by 2 which is $2.25 and divide $15 by 2 which is 7.50. Since there was 4 adults so it cost $20.00 because 5.00X4=20.00. Since there was 16 kids going it cost $36.00 because $2.25X16=36. Since they were there for 5 hours it cost $37.50 because $7.50x5=$37.50. Add all of those up and you will get $93.50.

HOPE THIS HELPS

Answer:

12x6+2(6-1)

72+2x5

72+10

82

82 is the answer.

Step-by-step explanation:

Just replace the X's in the problem with 6.

Answer:

y = 0.3x

Step-by-step explanation:

Simplifying

y = 0.3x

Solving

y = 0.3x

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Simplifying

y = 0.3x

Answer:

y = -15x - 3.04

Step-by-step explanation:

1) First place down what you are given.

Y = a(x - p) (x - q)

2) Then Substitute.

a = -16

p = -0.12

q = 1.12

y = (-16)(x - (-0.12))(x - (1.12)

3) Do order of operations (PEMDAS)

y = (-16)(x + 0.12)(x - 1.12)

Now distribute

y = − 16 x  −  1.92 + (x - 1.12)

y = -16x - 1.92 + x - 1.12

y = -16x + x - 1.92 - 1.12

y = -15x - 3.04

4)

You answer is:

y = -15x - 3.04

Answer:

The answer is 2940ft^2

Step-by-step explanation

First convert length and width to feet using the value given (7ft=1inch).

[tex]10*7= 70[/tex]

[tex]6*7= 42[/tex]

Multiply these values for the actual area.

[tex]42*70= 2940[/tex]

The actual area of the lawn is 2940ft^2

Answer:

6 3/10

Step-by-step explanation:

Answer:

There are 11,355 milliliters in 3 gallons, and 946.25 milliliters in 1 quart.

Step-by-step explanation:

If there are 3,785 milliliters in 1 gallon, multiply each side by 3 because you want the product to equal 3 gallons.3,785 times 3 is equal to 11,355, and 1 times 3 is 3. So, 3 gallons are equal to 11,355 milliliters. If there are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon, that means that there are 3,785 milliliters in 4 quarts. Now, you want to find the amount of milliliters in 1 quart so you should divide both the 3,785 and the 4 by 4. So, there are 946.25 milliliters in 1 quart.

Answer:

the answer is w=19-11=8

Step-by-step explanation:

19-11=8

Answer:

Step-by-step explanation:

The graph should start with an y-intercept of 100 because even if zero people attend, it costs $100 for the DJ. Then, the line should have a slope of 20 because for each additional person it costs another $20. when you reach the point (10,200) the line will plateau where every y value after that will be 200

Answer:

$6.49

Step-by-step explanation:

Fruit=$1.99

Cheese tray=$4.50

1.99

+4.50

=$6.49

Answer:

2,890,000,000 becomes 2.89 x 10⁹. that's an example

Answer:

Step-by-step explanation:

If the unit cost is given by the function C(x)=0.5x^2-330x+65,738 where x is the amount of engines made while C(x) is the unit cost. In order to know the amount of engine needed to minimize the cost;

we will first find dC/dx and equate the resulting function to zero to get x.

dC/dx = 2(0.5)x - 330

dC/dx = x - 330

since dC/dx = 0

x - 330 = 0

x = 330 (critical point)

Then find the second derivative to check if it is greater than zero.

d²C/dx² = 1

Since d²C/dx² > 0, then the cost will be at the minimum when x = 330

Substitute x = 330 into the modeled function;

C(330)=0.5(330)^2-330(330)+65,738.

C(330)= 54,450-108,900+65,738.

C(330)= -54,450+65,738.

C(330)= 11,288

Hence the amount of engines that must be made to minimize the unit cost is 330 engines and the unit cost at the minimum price is 11,288

Answer:

to find the rate of fencing, you should find the perimeter of the rectangle.

2(l+b)

2(155+125)

2*180

360m

cost of fencing = 360*10

= Rs 3600

now to find the cost of fielding, find the area

(l*b)

155*125

19375 square mtr

cost of fielding = 19375*15

= Rs 290625

Step-by-step explanation:

Answer:

15 words per minute.

Step-by-step explanation:

We can look at the line graph, and look at the "1" at the bottom, then go up to where the line is. It's at the point "15". The unit rate is 15 words per minute.

Answer:

4m + 5

Step-by-step explanation:

product of 4 and m: 4m

5 more than the product of 4 and m: 4m + 5

Answer: 4m + 5