8. Albert's father is 24 years older than Albert is. In 8 years, his father will be twice as old as Albert. How old is Albert now? How old is his father?

Answers

Answer 1

Answer: Albert´s ftather age=x
Albert age=y

We suggest this system of equations:
y=x-24
x+8=2(y+8)

we solve this system of equation by substitution method.

x+8=2[(x-24)+8]
x+8=2(x-16)
x+8=2x-32
x-2x=-32-8
-x=-40
x=40

y=x-24
y=40-24
y=16

Answer: Albert´s father is 40 years old, and Albert is 16 years old.

Related Questions

Twelve more than the product of a number and 5 is 52.Which equation models the sentence?12−n⋅5=52 n÷5+12=52 12−n÷5=52 n⋅5+12=52
Change 16/20 to tenths
Sammy puts his toys into boxes. He put 250 toys equally into 5 boxes. How many toys did each box have?
Fran drew a triangle with no congruent sides and one right angle.Which term accurately describes a triangle?Select all that apply!a)isosceles,B)scalene,C)acute,D)right,E)pentagon
Evaluate the expression s+12÷t2 if s=36 and t=2.

20 points and brainliestWhich points are on the graph of f(x) = 3√x? Check all that apply.
(–27, –3)
(–1, 1)
(0, 0)
(1, 1)
(3, 27)

Answers

options A, C, D are correct for egenuity

on the graph : (-27,-3),(0,0),(1,1)

Suppose that 14 inches of wire costs 42 cents at the same rate how much will 37 inches of wire cost

Answers

Answer:

111

Step-by-step explanation:

divide 42 by 14 and get 3 then multiply 3 by 37 and get 111

Final answer:

To find out the cost of 37 inches of wire at the same rate as 14 inches, we can set up a proportion. Solving for x in the proportion yields a cost of 111 cents for 37 inches of wire.

Explanation:

To find out how much 37 inches of wire will cost at the same rate, we can set up a proportion. We know that 14 inches of wire costs 42 cents, so we can say that the cost is directly proportional to the length. The proportion can be written as:

14 inches / 42 cents = 37 inches / x cents

To solve for x, we cross-multiply and get:

14x = 37 * 42

Dividing both sides by 14 gives us:

x = (37 * 42) / 14

Calculating this out, we find that:

x = 111 cents

Therefore, 37 inches of wire will cost 111 cents.

Learn more about cost of wire here:

brainly.com/question/32435292

#SPJ2

The number of students at Marita's high school decreased to 98% of last year's number. Currently, there are 1,170 students. How many students were there last year? Round to the nearest number

Answers

Answer:

1193

Step-by-step explanation:

If the number of students decreased to 98% of last years total, the total students decrease by:

$100-98=2$

The amount of students decreased by 2% from the previous years total. We can then determine the amount of students that we 2% of the current total. We first convert 2% into a fraction:

$2/100=1/50$

Therefore:

$1170*(1/50)=234/10=23.4$

So in order to get this years total we must add 23.4 to this years total:

$1170+23.4=1146.6≈1193$

There were 1193 students last year

x=number of students at Marita's high school last year
98%=.98
.98x=1170
x=1170/.98
x=1194

What is the most accurate measurement of 1 pound

Answers

Answer:

15 onces

Step-by-step explanation:

A kennel has 8 adult dogs and 14 puppies. What is the ratio of adult dogs to puppies? Use a multiplicative comparison to explain its meaning.

Answers

The answer is 8:14. this can be simplified to 4:7 (divide by 2).

Answer:

i think the answer is

8:22

Step-by-step explanation:

Terry has between 50 and 100 pennies and her piggy bank. She can count them two at a time and come out even. She can also count them three and five at a time and come out even. She cannot count them 4 at a time and come out even. How many pennies does she have?

Answers

The # is multiple of 2,3 and 5, but not 4. The smallest number possible in here is 105. This means that some of this is in the bank?

Other Questions

1. In the figure below, triangle QRT, triangle Rsa. and triangle QST are scaleneNote picture mot drawn scaieIf m QRS 37 and m TOs 33 what is m TOR?11090END STUDY SESSIONPlease help fast

If the sale price is 42.00 with a discount of 30% what is the original price

10.4% of what number is 13

I need with this question please. Please help me