5 years ago, Cheryl was d years old, Brandon is 2 years older than Cheryl.a. how old is Cheryl

b. how old is Brandon

c. what was the difference in their ages 5 years ago?

d. what is the sum of their ages now?

e. what will the sum of their ages be two years from now?

f. what will the difference of their ages be two years from now

will mark the brainliest.

Answers

Answer 1
Answer:

Answer: See explanation

Step-by-step explanation:

a. how old is Cheryl?

Cheryl's age = d + 5

b. how old is Brandon?

d + 5 + 2

= d + 7

c. what was the difference in their ages 5 years ago?

Cheryl age five years ago = d

Brandon's age five years ago = d + 2

Difference = d + 2 - d = 2 years

d. what is the sum of their ages now?

Cheryl's age = d + 5

Brandon age = d + 7

Sum = d + 5 + d + 7

= 2d + 12

e. what will the sum of their ages be two years from now?

Two years from now,

Cheryl's age = d + 5 + 2 = d + 7

Brandon age = d + 7 + 2 = d + 9

Sum = d + 7 + d + 9

= 2d + 16

f. what will the difference of their ages be two years from now

Two years from now,

Cheryl's age = d + 5 + 2 = d + 7

Brandon age = d + 7 + 2 = d + 9

Difference = Brandon age - Cheryl age

= (d + 9) - (d + 7)

= 2 years.


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What is the greatest common factor of 18, 36 , and 54

Answers

Answer:

18

Step-by-step explanation:

Answer:
GCF = 18
Explanation:

The factors of 18 are: 1, 2, 3, 6, 9, 18

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54

Then the greatest common factor is 18.

Raj recorded the scores of six of his classmates in the table.Math Scores
98
76
100
88
82
70

What is the range of their test scores?

Answers

The answer is 30. Range: largest number - smallest number = range

PLEASE ANSWER ASAP!!! FULL ANSWERS ONLY!!!!!! WILL GIVE BRAINLIEST!!!!!!!!! Two cyclists, 68 miles apart, start riding toward each other at the same time. One cycles 3 miles per hour faster than the other, and they meet after 4 hours of riding.

a. Write an equation using the information as it is given above that can be solved to answer this problem. Use the variable r to represent the speed of the slower cyclist.

b. What are the speeds of the two cyclists? _______________

Answers

a) The given equation using the information as it is given above that can be solved to answer this problem is 4r + 4(r+3) = 68

b) The speed of both cyclists are 3mi/hr and 10mi/hr respectively

The formula for calculating the distance covered is expressed as:

Distance = speed * time

Let the speed covered by one cyclist be t

If one cycles 3 miles per hour faster than the other, the speed of the other will be t + 3

If both meet after 4 hours of riding, then their time will be 4 hours

Distance covered the first cyclist = 4r

Distance covered by the second = 4(r+3)

If the two cyclists are 68 miles apart, then:

4r + 4(r+3) = 68

a) The given equation using the information as it is given above that can be solved to answer this problem is 4r + 4(r+3) = 68

b) Expand the equation in a to get "r"

4r + 4r + 12 = 68

8r + 12 = 68

8r = 68 - 12

8r = 56

r = 56/8

r = 7miles per hour

Speed of the first cyclist = 7mi/hr

Speed of the second cyclist = 3 + 7mi/hr = 10mi/hr

Hence the speed of both cyclists are 3mi/hr and 10mi/hr respectively

Learn more here: brainly.com/question/19915685

Answer:

4r + 4(r + 3) = 68

r = 7 miles per hour

r + 3 = 10 miles per hour

Step-by-step explanation:

distance = rate * time

a)

4r + 4(r + 3) = 68

Distribute

4r + 4r + 12 = 68

8r + 12 = 68

8r = 56

r = 7 miles per hour

r + 3 = 10 miles per hour

Need Help on this, First RIGHT answer gets brainliest :)

Answers

Answer:

50%

Step-by-step explanation:

The circle is split into 4 parts and there are 2 parts of the circle shaded.

Step 1:

2/4 = 50/100

Step 2:

50/100 = 50%

Answer:

50%

Hope This Helps :)

the answer is 50% as half the circle is shaded!

What are the zeros of the quadratic function f (x) = 2x^2 -10x-3?

Answers

Answer:

x=2.5+sqrt(300)/4, 2.5-sqrt(300)/4

Step-by-step explanation:

1. Need to factor or can use the quadratic formula

2x^2-10x-3=0

a=2, b=-10, c=-3

[-b+-sqrt(b^2-4*a*c)]/(2*a)

[10+-sqrt(100-4*(-200)]/4

[10+- sqrt(300)]/4

x=2.5+sqrt(300)/4, 2.5-sqrt(300)/4

The monthly cost (in dollars) of water use is a linear function of the amount of water used (in hundreds of cubic feet, HCF). The cost for using 14 HCF of water is $ 32.68 , and the cost for using 52 HCF is $ 95.38 . What is the cost for using 19 HCF of water?

Answers

Answer:

$40.93

Step-by-step explanation:

Given

Linear function of:

  • 14 HCF = $32.68
  • 52 HCF = $95.38

To find:

  • 19 HCF = ?

Solution

Linear equation in slope-intercept form:

  • y(x) = mx +b

We have points of: (14, 32.68), (52, 95.38):

  • y(14) = 14 m + b
  • y(52) = 52 m +b

Using the points we can find the value of m and b:

  • m= (y2-y1)/(x2-x1)
  • m= (95.38 - 32.68)/(52 - 14)
  • m = 62.7/ 28
  • m= 1.65

Then finding b:

  • 14*1.65 +b = 32.68
  • b= 32.68 - 23.1
  • b= 9.58

So the function is:

  • y = 1.65 x + 9.58

Then y(19) is found as:

  • y(19) = 1.65*19 + 9.58
  • y(19) = 40.93

Answer: Cost of 19 HCF of water is $40.93