A grandfather is ten times older than his granddaughter. He is also 54 years older than her. Find their present ages.

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Answer 1
Answer: He is 60 and she is 6

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according to the line plot how many more Runners ran 1/3 of a mile for their warm-up than ran 1/4 of a mile​

Answers

Answer:

2

Step-by-step explanation:

count how many more

If j and k are intersecting lines, A and B are points on j, and C and D are points on k, how many planes contain points A, B, C, and D? A. Infinitely many
B. We can't determine from the given information.
C. Exactly one
D. None

Answers

The correct answer to this question is letter "B. We can't determine from the given information."

Using the information as stated, "If j and k are intersecting lines, A and B are points on j, and C and D are points on k," the number of planes that contain points A, B, C, and D cannot be determined because of the lack of information.

A family has two cars. The first car has a fuel efficiency of 40 miles per gallon of gas and the second has a fuel efficiency of 20 miles per gallon of gas. During one particular week, the two cars went a combined total of 2200 miles, for a total gas consumption of 75 gallons. How many gallons were consumed by each of the two cars that week?

Answers

Answer:

The car that has a fuel efficiency of 40 mpg consumed 35 gallons, while the car that has a fuel efficiency of 20 mpg consumed 40 gallons.

Step-by-step explanation:

The variable a will represent the fuel consumed by the first car, and the variable b will represent the fuel consumed by the second car.

Set up the formula: a+b=75, which will represent the total gas consumption.

The formula 20a+40b=2200 will help you solve.

To solve, we will first solve for a by changing the formula from a+b=75 to b=75-a. Then you plug in the value of b to the second formula:

20a+40(75-a)=2200

20a+3000-40a=2200

3000-20a=2200

After subtracting 3000 from both sides, you are left with -20a=-800. Multiply both sides by -1 so that both sides are positive:

20a=800

a=40

Now that we know that the car with a 20 mpg fuel efficiency consumed 40 gallons that week, we can subtract 40 from 75, leaving us with 35 being the amount of gallons consumed by the car with a 40 mpg efficiency.

MZTRI = 3x - 5, mZIRB = x + 27,
and mZTRB = 86. Find the mZTRI.

Answers

Answer:

m∠TRI  = 43

Step-by-step explanation:

m∠TRI +  m∠IRB = m∠TRB

3x - 5 + x + 27 = 86

3x + x - 5 + 27 = 86   {Combine like terms}

     4x  + 22    = 86       {Subtract 22 from both sides}

               4x = 86 - 22

                4x = 64           {Divide both sides by 4}

                  x = 64/4

                 x = 16

m∠TRI = 3x - 5

           = 3*16 - 5

          = 48 - 5

          = 43

Nancy hears a report that the current national average price of gasoline is $3.14. She averages the prices of stations near her home.she finds the average price of gas to be $2.95. Why are the averages different?

Answers

Answer:

Nancy's ambient locality might be having more suppliers, higher supply of Gasoline

Step-by-step explanation:

National average price of gasoline = $3.14

Stations near Nancy's home have an average price = $2.95

Gasoline price near Nancy's house is lesser than national average price level. Number of gasoline stations near her house might be more. It implies increase in its supply. This leads to competition among sellers & reduces the price level.

Solve for:-9a = 27
please someone help!!!

Answers

Answer:

a = -3

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