alex is w years old. His sister claudia is three years younger than Alex. The product of their ages is 180 a) set up an equation to represent this information b) solve your equation (from a) to find alex's age​

Answers

Answer 1

Answer: The equation is w*(w-3)= 180 & Alex is 15 years old

Step-by-step explanation:

Alex= w years old

Claudia= (w-3) years old

a) Equation, w*(w-3)= 180

b) Now,

         w*(w-3)= 180

      ⇒ w²-3w-180= 0

      ⇒ (w+12)*(w-15)= 0

      ⇒ w= 15

Alex is 15 years old

Claudia is (15-3) = 12 years old

 


Related Questions

Hesperia Community center is buying new seating for their building. They want to purchase a combination of stools and chairs. Stool cost $15 and chairs cost $25. The center cannot spend more than 1500. Which inequality represents all possible combinations of s stools and c chairs? A. 15s + 25c < 1500 B. 15c + 25s > 1500 C. 15c + 25s < 1500 D. 15s + 25c < 1500​

Answers

Answer:

I just finished taking the test and the answer is 15s + 25c ≤ 1500

Jackson has $20 in his account. He uses a credit card to spend $30 on a coat and $10 on a movie. Jackson then deposits $50 into his account. How much will Jackson have left after he pays the credit card bill?

Answers

Answer:

$30

Step-by-step explanation:

Step one:

Jackson has $20 in his account

He uses a credit card to spend $30 and $10

total credit owed is $40

Required

His account balance after debt payment

Step two:

his balance will be = 20-40= -$20

Jackson then deposits $50 into his account

His new balance will be

-20+50= $30

Solve the Expression

8g + 5 - 2r, g = 5, r = 12

Answers

Answer:

21

Step-by-step explanation:

First at all you replaced:

8(5) + 5 - 2(12)

40 + 5 -24

21

The answer I believe is 21 !

What is 5 perecnt of 15,948

Answers

Answer:

797.4

Step-by-step explanation:

Hope this Helps! :p

Answer:

Step-by-step explanation:

5 % of 15948

(15948*5)/100= 797.40

Can someone help me? I hate geometry. God!!!

Answers

the 2 triangles are congruent therefore

9x-1 = 10x-10

x= 9


so 80* 2 = 160

angle cad measures 160 degrees

A PlayStation 5 cost $789.99. Sales tax is 8%. How much will you pay in sales tax?

Answers

Answer:

63.20

Step-by-step explanation:

Because you do 8% of 789.99 which equals 63.20

Answer:

6.31 sales tax

Step-by-step explanation:

1. make 8% in a decimal

.008

2. multipy the numbers

789.99 ×.008=6.31

hopefully this is right haven't done this math in 2 years

have a good day

LuAnn is playing a math game. She chooses three cards. The value of each of her cards is shown. • First card: -12 • Second card: 3 •Third card: -5 What is the sum of the values of LuAnn’s three cards?

Answers

Answer:

4

Step-by-step explanation:

maybe because negative cancells a positive

Rewrite in simplest terms: -4(5v – 3v – 6) – 9v

Answers

Answer:

-4 (5v -3v -6) -9v (use the distributive property)

-20v +12v +24 -9v (combine all like terms)

-17v +24

Answer:

-17v + 24

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define Expression

-4(5v - 3v - 6) - 9v

Step 2: Simplify

Combine like terms (v):                    -4(2v - 6) - 9vDistribute -4:                                     -8v + 24 - 9vCombine like terms (v):                    -17v + 24

Guys help! How do I find M<1 ?

Answers

Based on the angle addition postulate, the measure of angle 1 is calculated as: 88°.

What is the Angle Addition Postulate?

The angle addition postulate states hat the sum of two smaller angles is always the measure of a bigger angle from which the smaller angles are formed from.

Given:

Measure of angle 2 = 45°

Measure of angle XWY = 133°

Therefore:

Measure of angle 1 + 45 = 133 [angle addition postulate]

Subtract 45 from each side of the equation

Measure of angle 1 + 45 - 45 = 133 - 45

Measure of angle 1 = 88°

Therefore, based on the angle addition postulate, the measure of angle 1 is calculated as: 88°.

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Lou and Jacob each sold 200 pieces of jewelry. If 20% of Lou's sales were rings, and Jacob sold 35 rings, who sold more rings?

Answers

Answer:

Lou sold 5 more rings because 20% of 200 is 40

Step-by-step explanation:

Compare the square root of one hundred forty and one hundred three ninths using <, >, or =.

Answers

The square root of one hundred forty > the square root of one hundred three ninths

In this question, we need to compare the square root of one hundred forty and the square root of one hundred three ninths.

We write the square root of one hundred forty as,

√(140)

The value of  the square root of one hundred forty is,

√(140) = 11.8                        ..............(1)

We write the square root of one hundred three ninths as,

√(11.44)

The value of the square root of one hundred three ninths is,

√(11.44) = 3.4                      ...................(2)

From (1) and (2),

11.8 > 3.4

i.e., the square root of one hundred forty is greater than the square root of one hundred three ninths

Therefore, the square root of one hundred forty > the square root of one hundred three ninths

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If 6 is an element in the domain of f(x) =
7x - 16
5
what is the corresponding element in the range?
The corresponding element is (Simplify your answer.)

Answers

Answer:

When x=6 in the domain, then y=26 is the corresponding element in the range of the function f(x)=7x-16.

Step-by-step explanation:

Given the expression

[tex]f(x)=7x-16[/tex]

Given that x=6 is an element in the domain of f(x).

Substituting x=6 in the expression to find the corresponding element in the range.

[tex]f(6)=7(6)-16[/tex]

       [tex]= 42-16[/tex]

       [tex]= 26[/tex]

Thus, the corresponding element in the range is: y=26

Therefore, we conclude that:

When x=6 in the domain, then y=26 is the corresponding element in the range of the function f(x)=7x-16.

I need help pls answer right and don't just pick an answer again pls help.

Answers

Answer:

-4

Step-by-step explanation:

It the slope hits the y axis, that number will be the y intercept

CD=______x CG fill in the blank

Answers

Answer:

GD

Step-by-step explanation:

A rectangle has a length of 72 cm and a width of 56 cm. The other rectangle has the same area as this one, but its width is 21cm. Find the constant of the variation.

Answers

Answer: I think it’s 4032

Step-by-step explanation:

Find the value of X please

Answers

Answer:

x=2/3

Step-by-step explanation:

6x+6=10

what is 17 - (-12)=
who knows the answer please help

Answers

Answer:

The answer is "29".

Step-by-step explanation:

17 - ( -12) =

17 + 12 =

= 29

Answer:

The answer is 29

Step-by-step explanation:

the answer is 29

WILL GIVE BRAINLIEST! Find the equation of a line that passes through (-5,-2) and the intersection of the lines x+3y=0 and 4x-4y-13=0

Answers

Answer:

y + 2 = -0.069(x-+5)

Step-by-step explanation:

SInce the two lines intersects, we will equate it

Multiply x + 3y = 0 by 4;

4x + 12y = 0

4x-4y-13 = 0,

Subtracts both

12y +4y + 13 = 0

16y = 13

y = 13/16

get x;

x + 3(13/16) = 0

x = -39/16

The point of intersection is (0.8, -2.4) and (-5,-2)

Get the equation;

m = y2-y1/x2-x1

m = -2+2.4/-5-0.8

m = 0.4/-5.8

m = -0.069

Get the equation;

y - y0 = m(x-x0)

y - (-2)= -0.069(x-(-5))

y + 2 = -0.069(x-+5)

Do I write like the measurements? I don’t get this question someone help pls

Answers

I believe u just need to double the measurements. Because it says in the little box that lists the ingredients (makes only 12 pancakes) but your question is asking for 24 pancakes. So just double the measurements. I think thats all

Answer:

Milk - 3 cups

Eggs - 2

Self-Raising Flour - 4 cups

Caster Sugar - 2/3 cup

Melted Butter - 50g

Step-by-step explanation:

The question asks for the quantity of each ingredient needed to make 24 pancakes. The recipe we are given makes 12 pancakes.

To figure out our proportions, we can divide the number of pancakes we need to make by how many the recipe makes.

24/12 = 2

This tells us that we will need to double the quantity of each ingredient in the recipe to make 24 pancakes.

1.5 · 2 = 3 cups of milk

1 · 2 = 2 eggs

2 · 2 = 4 cups of self-raising flour

1/3 · 2 = 2/3 cup of caster sugar

25 · 2 = 50g of melted butter

3. The easily accessible part of an emergency fund is
cash
credit cards
savings
CDs

Answers

Answer:

Saving ...................

The easily accessible part of an emergency fund is : savings.

What is emergency fund?

Am emergency fund are money kept or set aside incase of unforeseen circumstance and unforeseen expenses or expenses that are not plan for.

Saving is important as saving is  the easily accessible part of emergency fund reason being that you can easily take from the money you already save in case of unforeseen expense and  this prevent you from having to borrow.

Inconclusion the easily accessible part of an emergency fund is : savings.

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The graph of a system of equations is shown below. Which system of equations represents the graph?
A.y = 3x - 5
y = -1/2x + 2

B.y = 2x - 5
y = -1/2x + 2

C.y = 3x - 5
y = -2x + 4

D.y = 2x - 5
y = -2x + 4

Answers

i think it might be A. because when you go in y=mx+b form for the line with a y-intercept of -5 you will have a decision between A and C but if you look at the second line it crosses the y-axis at 2. so I’m prettyyyyy sure it’s A but i’m so sorry if i’m not:(

Evaluate the function.
f(x) = 3x² + 2
Find f(-7)

Answers

149 because

3(-7)^2+2 =149

A plane flew at a constant speed between Denver and Chicago. It took the plane 1.5 hours to fly 915 miles. How far does the plan fly in 1 hour?

Answers

Answer:

610

Step-by-step explanation:

multiply 915 x 2/3 because 1 is 2/3 of 1.5 and you get 610

si f(x)=4x+5 cual es el valor de f(_3)?​

Answers

Answer: Debería ser 7

Step-by-step explanation:

do videos give mastary on khan?????????????????

Answers

Answer:

No they are only there so u can understand and answer the questions

sum one help me like frr

Answers

Answer:

The first one is correct.

Step-by-step explanation:

The number of shelves depend on the number of trophies there are.

Answer:

t = independent

s = dependent

For the number of trophies her son has will be the number of shelves she will build for the trophy case.

Hope this helps :)

I need to find x and y

Answers

E to see what I have done with this

Answer:

y = 131

x = 65

Step-by-step explanation:

y + 6 = 137

y = 131

360 - 137(2)

= 360 - 274

= 86

x + 21 = 86

x = 65

The solution to a problem is an irrational number. Which statement is true about the solution
A. It can be expressed as a non repeeating, non terminating decimal.
B. It can be a perfect square
C. It cannot be pie
[tex]\pi[/tex]
D. It is not possible to have a irrational number solution.​

Answers

Answer:

A. It can be expressed as a non repeating, non terminating decimal.

Step-by-step explanation:

Irrational numbers are numbers with a decimal that goes on forever.

The decimal also never repeats, for the entirety that it goes on.

Since the solution is an irrational number, this means that the solution can be expressed as a non-repeating and non-terminating decimal.

So, A is the correct answer.

Answer: a

Step-by-step explanation: i agree with rocco 908

Maritza says that the number y is equal to 2 more than 3 times x. Which of the following equations could be used to find the value of y.

Answers

Answer:

C

Step-by-step explanation:

The ratio of boys and girls in a class is 4:7. If there are 44 students in the
class, how many more boys should be enrolled to make the ratio 1: 1?

Answers

Answer:

12

Step-by-step explanation:

4:7

4x+7x=44

11x=44

x=4

16 boys and 28 girls

28-16

12

Hope this helps plz hit the crown ;D

12 boys should be enrolled to make the ratio into 1 : 1

What is a ratio?

'A ratio is a mathematical expression written in the form of a : b, where a and b are any integers. It expresses a fraction.'

According to the given problem,

Given ratio = 4:7

Total number of students = 44

Let the unknown integer multiplier be x,

⇒ 4x + 7x = 44

⇒ 11x = 44

⇒ x = 4

Number of boys = 4 × 4

                           = 16

Number of girls = 4 × 7

                          = 28

Therefore number of boys to be enrolled = 28 - 16

                                                                     = 12

Hence, we can conclude, 12 boys should be enrolled with the already enrolled 16 so as to make boys : girls as 1 : 1.

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