Five years ago, Max was twice as old as Bert. A year from now, the sum of their ages would be 30. How old are they now? Show your solution.

Answers

Answer 1

Answer:

Max is 17 years old and Bert is 11 years old

Step-by-step explanation:

System of Equations

Let's call

x = current age of Max

y = current age of Bert

x - 5 = age of Max five years ago

y - 5 = age of Bert five years ago

x + 1 = age of Max one year from now

y + 1 = age of Bert one year from now

According to the conditions of the problem:

x - 5 = 2(y - 5)        [1]

x + 1 + y + 1 = 30        [2]

Operating and simplifying [1]:

x - 5 = 2y - 10

x = 2y - 5       [3]

Operating and simplifying [2]:

x + y + 2 = 30

x + y = 28        [4]

Substituting [3] in [4]:

2y - 5 + y = 28

Simplifying:

3y - 5 = 28

3y = 33

y = 33/3

y = 11

From [3]:

x = 2*11 - 5

x = 22 - 5

x = 17

Max is 17 years old and Bert is 11 years old


Related Questions

My last oneeeeee help please​

Answers

Answer:

C  HOPE THIS HELPS MARK BRain leist

Step-by-step explanation:

Find the quotient in their exponential form.
a) (8/27)power 5 ÷ (2/3)power 7
The first person who do this numerical i will give him 25 stars and rank the brainliest plz guys tell fast its urgent for me​

Answers

Answer:

0.609663161

Step-by-step explanation:

(8/27)power5 = 5.57533755

(2/3)power7= 9.14494717

then, u just devide... from what i know

Answer:

It is 0.609663161

Step-by-step explanation:

Hope this helped have an amazing day!

The local amusement park is a popular field trip destination. This year the senior class at HighSchool A and the senior class at High School B both planned trips there. The senior class at HighSchool A rented and filled 6 vans and 7 buses with 292 students. High School B rented and filled2 vans and 14 buses with 494 students. Each van and each bus carried the same number of students. How many students can fit in a bus?

Answers

Answer:

How many students can fit in a bus? 34

Answer:

You can fit 34 students on a bus

Step-by-step explanation:

Hope this helps...

Combine the like terms to create an equivalent expression.
5 + 3t +4-t

Answers

Answer:

2t + 9

Step-by-step explanation:

5 and 4 are like terms. 3t and -t are like terms

= 2t + 9

or 9 + 2t

Answer:

2t + 9

Step-by-step explanation:

5 + 4 = 9

3t - 1t = 2t

Please be honest :( please help I’ll mark u!

Answers

Answer:

h is equal to or greater than 1. it's the first one

Help me pleaseeee (10 points )

Answers

Answer
It would be 14
Explanation
Bababoey is fhe explantion
the answer would be 14. hope this helps

Pls work out and give detail. Use the slope formula to determine the slope of each line.
4. AB
ТУ
41
2
2ТА
B
Х
— 4 — 2
O|
2
N
т
-4 +

Answers

Answer:

[tex]m=0[/tex]

Step-by-step explanation:

Given

See attachment

Required

Determine the slope of the line

From the attachment, we have the following points

[tex](x_1,y_1) = (-4,1)[/tex]

and

[tex](x_2,y_2) = (3,1)[/tex]

The slope m is then calculated using:

[tex]m = \frac{y_2- y_1}{x_2 - x_1}[/tex]

Substitute values for the x's and y's

[tex]m = \frac{1-1}{3 - (-4)}[/tex]

[tex]m = \frac{1-1}{3 +4}[/tex]

[tex]m = \frac{0}{7}[/tex]

[tex]m=0[/tex]

Hence, the slope is 0

help me pls ill mark brainly

Answers

Answer:

First step: 8% as a decimal is 0.08 if you move the decimal of 8 twice to the left.

Second step: I think it would be 0.08 x 25.

Third step: 2. I'm pretty sure there are 2 people that wear glasses in his class because 0.08 times 25 is 2.

Fourth step: Friendly percent is 10%. It is always even.

Hope this helps!

Can somebody help me pls

Answers

the answer can vary between x=−1 or x=2 or x=−3 or x=3

explanation:

x4−x3−11x2+9x+18=0

Step 1: Factor left side of equation.

(x+1)(x−2)(x+3)(x−3)=0

Step 2: Set factors equal to 0.

x+1=0 or x−2=0 or x+3=0 or x−3=0

x=−1 or x=2 or x=−3 or x=3

Here is the histogram of a data distribution. All class widths are 1.

Which of the following numbers is closet to the mean of this distribution?

A. 5
B. 4
C. 2
D. 10
E. 3

Answers

Answer:

C)  2

Mean of the given distribution = 2

Step-by-step explanation:

Explanation:-

Given data from histogram

1 , 4, 5 ,4 ,2, 1, 1 , 1, 1,0

Mean of given data

                             = ∑x / n

Given  n = 10

[tex]Mean = \frac{1+4+5+4+2+1+1+1+1+0}{10} = \frac{20}{10} =2[/tex]

Mean of the given distribution = 2

Answer:

Its actually 4

Step-by-step explanation:

A p e x

lucy trey and rubin have a total of $100 dollars in their wallets. trey has $5 more than lucy reuben has 3 times what. trey has how much do they have in their wallets

Answers

Lucy has $16. Trey has $21. Reuben has $63

What is the value of p if the expression 4(n+7) is equivalent to (n+p)4?

Answers

Answer:

p = 7

Step-by-step explanation:

set the expressions = to each other

4(n+7) = 4(n+p)

distribute the 4 on both sides(multiplying the numbers on the inside)

4n+28 = 4n+4p

subtract the 4n from the right and left

28 = 4p

divide by 4

p = 7

PLS HELP BRAINLIST and 100 POINTS

The diagram below shows a boat and a scuba diver that is approximately 40 feet below the boat. The top of the flagpole on the boat is 15 feet above the surface of the water. The elevation of the surface of the water is 0 feet. Which number represents the elevation of the scuba diver?

A. –55 ft
B. –40 ft
C. 40 ft
D. 55 ft

Answers

Answer:

B, He is -40 due to it asking which number is his point. If he was positive 40 then he would be on an island or flying in the sky. Your answer is -40

the answer is -40 pretty sure

please help me and my sister! Were a bit stuck!

Answers

Ok...

what exactly do you need help with?

Answer:

help with what lol

Step-by-step explanation:

What’s is the value of the expression 7+[8-(1+9)]

Answers

Answer:

5

Step-by-step explanation:

7+(8-(1+9))

7+(8-10)

7+(-2)

7-2

5

How many different ways can 5 events be ordered?

Answers

Answer:120 ways

Note that your choice of 5 objects can take any order whatsoever, because your choice each time can be any of the remaining objects. So we say that there are 5 factorial = 5! = 5x4x3x2x1 = 120 ways to arrange five objects.

Step-by-step explanation: LET ME BE!

Match these?

LA
If two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, then the triangles are congruent.
ASA
If the hypotenuse and a leg of one right triangle are equal to the hypotenuse and leg of another right triangle, then the triangles are congruent.
HL
If three sides of one triangle are equal to three sides of anther triangle, then the triangles are congruent.
SAS
If a leg and an acute angle of one right triangle are equal to the corresponding parts of another right triangle, then the triangles are congruent.
SSS
If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Answers

Answer:

see below

Step-by-step explanation:

If two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, then the triangles are congruent.

This is angle side angle  ASA

If the hypotenuse and a leg of one right triangle are equal to the hypotenuse and leg of another right triangle, then the triangles are congruent.

This is  hypotenuse leg  HL

If three sides of one triangle are equal to three sides of anther triangle, then the triangles are congruent.

This is side side side  SSS

If a leg and an acute angle of one right triangle are equal to the corresponding parts of another right triangle, then the triangles are congruent.

This is leg angle LA

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

This is side angle side SAS

what is 7/9 of 1 1/14​

Answers

Answer:

1.5555556

1 5/9

14/9

Step-by-step explanation:

Factor using grouping: x³+ 3x² + 5x = 15

Answers

X= 1.288 or just 1.29 is the correct answer. When you factor, set each factor equal to zero.
1. Move all terms to one side of the equation, usually the left, using addition or subtraction.
2. Factor the equation completely.
3. Set each factor equal to zero, and solve.
4. List each solution from Step 3 as a solution to the original equation.

Prove that x+1 is a factor of x^n+1 where n is an odd positive integer.​

Answers

Answer:

because x^n+1 =

the number which is n and n is an odd number and my odd number is 3 so

x^3+1= 4

= x^4

To approach a runway, a plane must begin a 7° descent starting from a height of 5 miles above the ground. To the nearest mile, how many miles from the runway is the airplane at the start of this approach?

41 mi

54 mi

82 mi

46 mi

Answers

41 miles
Thanks have a great day god bless you

Answer:

41

Step-by-step explanation:

Please give me the correct answer ​

Answers

Answer:

the correct answer is 5 places

Assuming there are no reflections or dilations,
explain how you would write the oquation of the
function whose graph is sketched below.

Answers

Answer:

Step-by-step explanation:

We can see that this graph looks something like the graph of:

f(x) = 1/x^2

But the asymptotes of 1/x^2 are at  x = 0, and in this case we can see that the asymptotes are near  x = -3.

This may mean that the graph has been horizontally shifted 3 units to the left.

A general way to write an horizontal shift of N units is:

g(x) = f(x + N)

if N is positive, then the shift is to the left, if N is negative, then the shift is to the right.

In this case, we will have;

g(x) = f(x + 3)

And f(x) = 1/x^2

then:

g(x) = 1/(x + 3)^2

Graphing that, we get the graph shown below, that is almost the same as the graph in the image.

The sum of two positive numbers is 4 and the sum of their cubes is 28. What is the product of the two numbers?

Answers

Answer:

3

Step-by-step explanation:

system of equations:

[tex]a+b=4[/tex]

[tex]a^3+b^3=28[/tex]

[tex]a=4-b[/tex]

plug in for a in other equation and solve

[tex](4-b)^3+b^3=28[/tex]

[tex]64-48b+12b^2-b^3+b^3=28[/tex]

[tex]64-48b+12b^2=28[/tex]

[tex]0=36-48b+12b^2[/tex]

[tex]0=3-4b+b^2[/tex]

[tex]0=(b-3)(b-1)[/tex]

[tex]b = 3[/tex]

or

[tex]b=1[/tex]

plug into other equation to get a

[tex]a=4-b=4-3=1[/tex]

or

[tex]a=4-b=4-1=3[/tex]

multiply together

[tex]1*3=3[/tex]

1.7.PS-6
E Question Help
You buy 3.17 pounds of oranges, 1.35 pounds of peaches, and 2.68 pounds of grapes.
What is your total bill?
Grocery Store Prices
Item
Cost
Oranges $1.29 per
pound
Peaches
$1.19 per
pound
Grapes
$1.09 per
Pound
Your total bill is $.
(Round to the nearest cent as needed.)
Enter your answer in the answer box and then click Check Answer
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Answers

Answer:africa

Step-by-step explanation:

science

Bob needs to read 3 novels each month. Let N be the number of novels Bob needs to read in M months, Write an equation relating N to M. Then use this equation to find the number of novels Bob needs to read in 17 months.​

Answers

Answer:

Equation: n=3m; Bob needs to read 51 novels over 17 months.

Step-by-step explanation:

Since the number of novels Bob needs to read (n) depends on the amount of months (m) we can say that n is the dependent variable and m is the independent. Since x is always independent and y is always independent we can say that m is going to stand for x and n is going to stand for y. Each month Bob reads 3 novels so we can write the equations as n=3m. To find out how many books he needs to read in 17 months plug it into the equation. n=3(17) -------------------> n=51

Elizabeth drove 2 fifths of a mile in 30 seconds. What is Elizabeth’s speed

Answers

Answer:

0.8 miles in a minute, which would be 40 miles a hour.

Step-by-step explanation:

2/5 = 0.4

0.4 times 2 = 0.8

30 seconds times 2 = 60 seconds or 1 minute

60 times 0.8 = 40

60 times 1 minute = 60 minutes or 1 hour

40 miles in an hour or known as 40 miles a hour.

Simplest form of -1 5/8 divided by 5 8/9

Answers

Answer:

the answer is -117/424, hope this helps :)

A meal that contains 4 grams of fat, 3 grams of protein, and 3 grams of carbohydrate will provide ______ calories.

Answers

60 calories

hope this helps :)

Total calories in  4 grams of fat, 3 grams of protein and 3 grams of carbohydrate is 56

What is the unitary method?

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: 4 grams of fat, 3 grams of protein and 3 grams of carbohydrate

Carbohydrates provide 4 calories per gram, protein provides 4 calories per gram, and fat provides 9 calories per gram.

Thus total calories from given diet is = 4×4+4×3+9×3

                                                             =16+12+27

                                                            =56

Hence, Total calories in  4 grams of fat, 3 grams of protein and 3 grams of carbohydrate is 56

Learn more about the unitary method here:

https://brainly.com/question/22056199

#SPJ2

Transfer into algebraic symbols: 11 less than the square of a number. Use x to represent the number.

Answers

Answer:

[tex]11-x^2[/tex]

Step-by-step explanation:

"11 less than the square of a number" can be written as an algebraic inequality as → 11 < x².

What is inequality?

An inequality compares two numbers or expressions. For example, we can write -

2x + 3 > 5

2x + 9 < 1

Given is the mathematical statement as -

" the square of a number is greater than 11"

We can write the mathematical statement as an algebraic inequality as follows. Let the number be {x}. We can write -

11 < x²

Therefore, "11 less than the square of a number" can be written as an algebraic inequality as → 11 < x².

To solve more questions on inequalities, visit the link below

https://brainly.com/question/30231017

#SPJ2

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