Dr. Garica is twice as old as his son. Twenty years ago he was 4 times as old as his son was then. How old are they now?

Answers

Answer 1

Answer:

Let's let g = Dr. Garcia's age and s = his son's age.

g = 2s, right?

 

20 years ago, Dr. Garcia was g - 20 years old.  He was also 4(s - 20), 4 times his son's age 7 years ago.

 

g - 20 = 4(s - 20)

g - 20 = 4s - 80

 

In the first equation, we have g = 2s.  We are going to substitute this g into the second equation.

 

2s - 20 = 4s - 80

       60 = 2s

       s = 30

 

So, his son is 30 and Mr. Garcia is 60. 30 x 2 = 60.

 

20 years ago, his son would have been 10 and Mr. Garcia would have been 40.  10 x 4 = 40.

Step-by-step explanation:

Brainliest?

Answer 2

Answer:

Dr. Garcia's age is 60, and his son's age is 30.

Step-by-step explanation:

Let x be Dr. Garcia's age, and y his son's age.

1. Dr. Garcia is twice as old as his son

x = 2 y

2. Twenty years ago, he was 4 times as old as his son was then

x - 20 = 4 (y - 20)

Substitute x in 2 and solve for y:

2 y - 20 = 4 (y - 20)

2 y - 20 = 4 y - 80

- 20 = 2 y - 80

60 = 2 y

y = 30

Put y back into 1:

x = 2 (30)

x = 60

So Dr. Garcia's age is 60, and his son's age is 30.


Related Questions

Net pay is your pay after taxes and other deductions true or false?

Answers

Answer:

True.

Step-by-step explanation:

Net pay is the amount you take home after deductions and taxes are removed from your gross pay. These subtractions from your gross pay will include federal, state and local income taxes, if applicable.

WHAT IS 4/5 DIVIDED BY 8?



I WOULD GIVE YOU A POINTS

Answers

Answer:

1/10

Step-by-step explanation:

Answer: 0.1

Step-by-step explanation:

How many times does 113 go into 523

Answers

Answer:

4.62

Step-by-step explanation:

Solve for y is x=4:
y=2x+3

Answers

Answer:

y = 11

Step-by-step explanation:

Given:

x = 4

y = 2x + 3

y = 2(4) + 3

y = 8 + 3

y = 11

Hey, I really need help on this! This work is really hard and I just need a little help to get this right. Thank you!

Answers

length: 5

width: 2

height: 3

5x2= 10

10x3= 30

your answer would be 30

Answer:

40 cm³

Step-by-step explanation:

The information we have about the volume of Prism Y is only that it is 10 cm³ greater than the volume of Prism X. So, we have to first find the volume of Prism X.

The volume of a rectangular prism is found by multiplying the length, width, and height of the figure. X has dimensions of 2 × 5 × 3, so we will multiply these together.

2 · 5 · 3 = 30

The volume of prism X is 30cm³.

Prism Y is 10 cm³ greater than this.

30 + 10 = 40

Prism Y has a volume of 40 cm³.

Good luck :)

Answer please !! and I'll give brainlist

Answers

Answer:

96 [tex]cm^{2}[/tex]

Step-by-step explanation:

Answer: first one :)

Step-by-step explanation:

The entry fee to the fair is $4.00. Each ride requires a ticket that costs $0.50. Heidi spent a total of $12.00.

How many tickets did Heidi purchase?


A6
B32
C16
D24

Answers

Answer:

C. 16 is your answer

Step-by-step explanation:

the equation is 4 + 0.5x = 12 where x is the number of ride tickets

4 + 0.5x = 12

0.5x = 8

x = 16

Jake washes cars. On monday he washed 18 cars for $90. On tuesday he washed 9 cars for $45. On wednesday he washed 12 cars for $60. What is the rate of change of Jakes earnings?

Answers

Answer:

the rate  of change is 5

Step-by-step explanation:

$90 / 18 cars = $5 per car

$45 / 9 cars = $5 per car

$60 / 12 cars = $5 per car

That means the rate of change is 5 (5/1)

See attachment for reply.

BIG JIM/LITTLE JIM PROBLEM When Big Jim stands on a bench that is 15 inches high, the top of his head is 53 inches above the top of Little Jim’s head. Big Jim’s height is twice that of Little Jim’s height. How tall is Big Jim? How tall is Little Jim?

Answers

Answer:

Let J = height of Little Jim. Then Big Jim's height is 2J.

when big jim stands on a bench that is 15 inches high, the top of his head is 53 inches above the top of little jims head.

The above given sentence means 15+ 2J= J+53.

15+2J = J+53

2J-J = 53-15

J = 38 inches

Apr 17, 1:48:02 AM
- 2y = -19 and 3x + 5y = 48 by combining
Solve the system of equations
the equations.

Answers

Answer:

y = 9.54

and, x = 0.08

Step-by-step explanation:

Given that

x - 2y = -19 .......................(1)

3x + 5y = 48 ...............(2)

Based on the above information

Multiply by 3 in equation 1

So,

3x - 6y = -57

3x + 5y = 48

-     -        -

-11y = -105

y = 9.54

So, the x would be

x - 2(9.54) = -19

x - 19.08 = -19

x = -19 + 19.08

x = 0.08

Find the surface area of the cylinder to the nearest whole number the figure is not drawn to scale

Answers

The answer would be 2,205in squared. When you do the formula for it 2times pie times the radius squared +2 times pie times the radius times the height you get 2,205 or 2,205.39804282.

Find S↓4of the sum of the geometric series.a1=32,a4=−4,r=1−2

Answers

3

x
=
3


1
x
2

x
=
3
3

-
1
x
2
4

x
=
0

11
x
5

x
=
0
4

11
x
5
3

x
=
3

2
Or

csc
(
60
)
csc
(
60
)

sin
(
330
)
sin
(
330
)

4
cot
(

45
)
-
4
cot
(
-
45
)

Solve y2 = 81, where y is a real number.
Simplify your answer as much as possible.
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution".

Answers

the solution to this question is y = 40.5

Solve for y: 5(y + 2/5) = -13

Answers

The answer is y= -3

Hope this help

Answer:

y = -3

Step-by-step explanation:

Let's solve your equation step-by-step.

5 (y+2/5) = −13

Step 1: Simplify both sides of the equation.

5(y+2/5)= −13

(5)(y) + (5)(2/5) = −13(Distribute)

5y + 2 = −13

Step 2: Subtract 2 from both sides.

5y + 2 − 2 = −13 −2

5y = −15

Step 3: Divide both sides by 5.

5y/5 = −15/5

y = −3

Answer:

y = −3

hope this helps and is right :)

yes or no the shape is or is not a rectangle

Answers

Answer:

no the shape is not a rectangle

Answer:

No it isnt a rectangle

Step-by-step explanation:

it is a parallelogram

How do you leave an answer in terms of pi?

Answers

In terms of pi means to include pi in your answer. In other words, don't use 3.14 or 22/7 for pi.

full explanations please!!

Answers

Answer:

x/7 = 7

x = 49

y/7 = 2

y = 14

Step-by-step explanation:

I'm not really confident about this since I kind of forgot but I'm pretty sure what I said is right.

Someone please help!! I have to finish this and Im dum.b lol
(( Ignore the first answer, I didnt mean to put true-)

Answers

Answer:

1) False

2) True

3) True

4) False

Step-by-step explanation:

For the first statement, we can look at a graph with the line of y = 3.69x plotted. If we check the points (7.38, 2) and (11.07,3), they do not intersect with the line. So, the first statement is false.

For the second statement, we can check the equation for the line to find the slope. The equation, y = 3.69x, is in slope-intercept form, or [tex]y = mx + b[/tex]. In this form, [tex]m[/tex] is the slope of the line. [tex]b[/tex] is the y-intercept. In this line, there is no y-intercept specified, so we can take this to mean the y-intercept is 0. The slope, we can see, is 3.69. The slope, multiplied by x, shows us any point of the line. The second statement, then, is true.

The next statement can be verified by finding just how much 16 gallons will cost. Like we've seen before, the slope can be multiplied by x, the number of gallons, to see where that point will be plotted. So, we can multiply the slope by 16.

3.69 · 16 = 59.04

The (x) value, we already know, is 16. The (y) value, we've found, is 59.04. So 16 gallons will be plotted at  (16, 59.04). The third statement is true.

The last statement says that if the price increases by $0.05, the slope will be 3.64. We can tell this is false by adding 0.05 to the original slope, 3.69.

3.69 + 0.05 = 3.74

3.74 ≠ 3.64, so the last statement is false.

I hope this was helpful to you ^^

Good luck

Which matrix is matrix B?

Answers

Answer:

C

Step-by-step explanation:

8. Jana bought 1 hat and 2 skirts. The hat cost $28.53, and the skirts cost $15.88 each. What was the total cost in dollars and cents of the items Jana bought?​

Answers

Answer:

$60.29

Step-by-step explanation:

$15.88 times 2 = $31.76 (cost of the 2 skirts)

then add the 2 skirts cost with cost of the hat

$31.76 + $28.53 = $60.29

Joe has eaten 4/5 of a pizza and Jane has eaten 1/7 how many times more pizza has Joe eaten than Jane

Answers

Answer
5.6

Explanation
Joe Jane
4/5 1/7

28/35 5/35

28/5 = 5.6
Joe ate 5.6 times more than Jane

I need help please!!

Answers

A
B
C
E
F
G
(It’s basically just a game of making pairs)

Please answer correctly! I will mark you Brainleist!

Answers

Answer:

500cm²

Step-by-step explanation:

im not sure if im right plz can i get brainliest;)

Answer:

50 cm²

Step-by-step explanation:

All that needs to be done here is divide 1000 by 20 to get 50 cm² for the base.

The sum of three consecutive odd numbers is 105. What is the largest of these numbers

Answers

Answer:

33,35,37

The largest of these numbers is 37.

Step-by-step explanation:

Please help, I'll mark Brainiest. It's 8th grade math

Answers

Answer:

(-5, 2)

Step-by-step explanation:

plug x into the equation x - 5y = -15

-5 - 5y = -15

add 5 to both sides: -5y = -10

divide by -5: y = 2

Which expression is equivalent to t + 4 + 3 - 2t

1. t+7
2. -t+7
3. 6t
4. 10t

Answers

Answer:

#2 -t + 7

Step-by-step explanation:

t -2t = -t

4+3 = 7

-t +7

daid1784 help!! pls Image

Answers

a, c, c, b, d hope this helps

Select the correct answer from the drop-down me
The length of a rectangle is (3x - 5) inches, and its width is 2x inches. Find the a
Hint: Area of a rectangle = length x width.
The area of the rectangle is
square inches.
Reset

Answers

Answer:

A = 6x² - 10x

Step-by-step explanation:

A = lw

Given:

l = 3x - 5

w = 2x

Work:

A = lw

A = (3x - 5)(2x)

A = 6x² - 10x

What form is this quadratic? f(x)=2x^2+5x-10​

Answers

Answer:

I hope that you thought so.

I recommend to you: Photomath

4. Which equation below shows a correct use of the distributive property? a. 2(3 + 5) = (2 + 3) x (2 + 5) b. 2(3 + 5) = (2 x 3) + 5 c. 2(3 + 5) = 2(5 + 3) d. 2(3 + 5) = (2 x 3) + (2 x 5)

Answers

Answer:

The answer is D

Step-by-step explanation:

This is because you multiply two by every number in the parentheses!

Hope this helps :)

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