Two siblings' ages have a sum of 64 years. The older sibling was born 6 years before their young sibling.

Write a system of 2 equations. Solve the system using substitution. Report your answer in the form of (older, younger).

Answers

Answer 1

Hi!

So we have to make a system of equations here.

Let sibling 1 be O and sibling 2 be Y (for older and younger)

So:

O + Y = 64

O = 64 - Y

(Either one works)

The older sibling is 6 years older.

O = Y + 6

Make everything in terms of Y.

64 - Y = Y + 6

Same to both:

58 = 2y

2y = 58

Divide by 2 on both sides:

y = 29

Since the older sibling is 6 years older:

29 + 6 = 35

Y = 29

O = 35

Let me know if you have any questions.


Related Questions

Help quickly!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

option D

Step-by-step explanation:

the value of x = 68

plz mark my answer as brainlist plzzzz .

hope this will be helpful to you .

Answer:

x=68

Step-by-step explanation:

22+x=90 90-22/68

x=68

In rectangle PQRS, SP = 3 and RS = 4. What is the length of PR? (Hint: use
the Pythagorean theorem to solve for the diagonal) *

Answers

The answer is B). 5.

Both triangles share the same hypotenuse, PR, so you can use the lengths of the legs of the other triangle to find the answer.
4^2 + 3^2 = x^2
25 = x^2
The square root of 25 is 5, so that’s the answer.

What is the operation used in 3r?
-subtraction
-addition
-multiplication
-division

Answers

Answer:

Multiplication

Step-by-step explanation:

3r means 3 times R. We don't write it just like we don't write 1.0 for 1 or 1.000... A number in front of a variable means that number times that variable.

Hope this helps! <3

Angela can paint 3 sections in 25 minutes.
How many minutes will it take Angela to
paint 12 sections?

Answers

Answer:

Análisis del problema

Nos dan como datos el tiempo que se tarda cada uno en pintar la habitación:

Gerardo: 3 horas

Ángel: 6 horas

La velocidad de trabajo podemos definirla como dada por la cantidad de habitaciones que pueden pintar sobre el tiempo: H/t

Gerardo: 1 hab /3h

Ángel: 1 hab / 6h

Sumamos ambas velocidades de trabajo:

Por lo tanto entre los dos pintarían una habitación en dos horas.

What number should be added to both sides of the equation to complete the square?

x^2-10x=12​

Answers

Answer:

Step-by-step explanation:

x²-10x = 12

Coefficient of the x term: -10

Divide in half: -5

Square it: (-5)² = 5²

Add 5² to both sides:

x²-10x+5² = 12+5²

(x-5)² = 37

Write −(1/4⋅1/4⋅1/4⋅1/4) using exponents.

Answers

Answer:

-(1/4)^4

Step-by-step explanation:

Hope it helped!!!

-Question 4
Jen weighs 100 pounds, Jack weighs 120 pounds, and Billy weighs 80 pounds. What is their average weight?

Answers

Answer:

100 pounds

Step-by-step explanation:

To find their average weight, add all of their weights together then divide it by 3

(100 + 120 + 80) / 3

300 / 3

= 100

So, their average weight is 100 pounds

100 + 120 + 80 = 300

300/3 = 100

what is the measure of EGF?​

Answers

Answer:

i think c

Step-by-step explanation:

Answer:

B)  40.18°

Step-by-step explanation:

since it's a right triangle and you know values for opposite and hypotenuse you can use:

sin x = 12/18.6

this comes out to be 40.18°

The perimeter of a rectangular field is 242 m . If the length of the field is 66 m, what is its width?

Answers

Answer: 55
66+66+55+55=242

The student council was preparing for the wellness sale. The members divided each type of the donated items equally onto plates. Each plate contained only 1 type of item and every plate had exactly the same number of items. There were no leftovers. What is the greatest number of items that could have been placed on each​ plate? Wellness Sale Donations Celery 63 Cucumbers 14 Carrots 35 The greatest number of items that each plate could have is nothing items. ​(Type a whole​ number.)

Answers

Answer:

The greatest number of items on each plate is 7

Step-by-step explanation:

Given

[tex]Celery = 63[/tex]

[tex]Cucumber = 14[/tex]

[tex]Carrot = 35[/tex]

Required

Determine the greatest number of items on each plate

To do this, we simply calculate the GCF of 63, 14 and 35

[tex]63 =3 * 3 * 7[/tex]

[tex]14 = 2 * 7[/tex]

[tex]35 = 5* 7[/tex]

The GCF is:

[tex]GCF = 7[/tex]

Hence:

The greatest number of items on each plate is 7

What is the height and area of the polygon?

Answers

Answer:

Below in bold.

Step-by-step explanation:

If we draw a line  from top right vertex perpendicular to the  bottom line we get a right triangle.

Height of this triangle = sqrt(5^2 - 3^2) = 4.

This is also the height of the polygon.

The polygon is a trapezium so:

Area of the polygon = 1/2(5 + 8) * 4

= 6/5 * 4

= 26 m^2.

what is the inequality of -5x + 19 ≥ 9

Answers

Answer:

x<=2

Step-by-step explanation:

-5x+19>=9

-5x>=9-19

-5x>=-10

5x>=10

x>=10/5

x>=2

x<=2

Which ordered pair is in the solution set of the inequality shown?

Answers

Answer:

number 2: (-6, 0)

any help would be cool

Answers

Step-by-step explanation:

the shape has been split into 2 shapes. one cuboid and a triangular prism . work out the volume of each shape .

hint : volume : h×l×w ( height times length times width)

so the cubiod is 12 times 29 times 12 =

you work out the answer for that .

the triangular prism you try working out the volume.

if a dozen eggs cost $3.84 calculate the cost of 30 eggs​

Answers

Answer:

30

Step-by-step explanation:

How many pounds are equal to 400 ounces

Answers

Answer: 25 pounds

Step-by-step explanation:

1 pound = 16 oz

400 oz / 16 oz = 25 pounds

I am not a professional, I am simply using prior knowledge!

Note- It would mean the world to me if you could mark me brainliest!

5. Skylar has pool toys shaped like a sphere
with a radius of 2 inches. The toys fill with
water, and she has 12 toys total. How many
cubic inches of water would it take to fill all 12
toys with water?
ring the Middle LLC, 20

Answers

Answer:

128π or 402.12

Step-by-step explanation:

Vol of a sphere = 4/3πr³

Sub 2 into ^

Multiply by 12 to find vol of all 12 shapes

This is the volume of water needed

Consider the function f(x) =2x+3 Find the average rate of change from the following points x=2 and x= 6

Answers

Step-by-step explanation:

step 1. m = 2.

step 2. for a linear equation the average rate of change between any points is the slope m.

The Students' Conjectures Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Polynomial product B: (x2 + x – 2)(4x2 – 8x)

Answers

Complete Question:

Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Polynomial product B: (x2 + x – 2)(4x2 – 8x) They are trying to determine if the products of the two polynomials are the same. But they disagree about how to solve this problem.

Answer:

[tex]A = B[/tex]

Step-by-step explanation:

See comment for complete question

Given

[tex]A: (4x^2 - 4x)(x^2 - 4)[/tex]

[tex]B: (x^2 + x - 2)(4x^2 - 8x)[/tex]

Required

Determine how they can show if the products are the same or not

To do this, we simply factorize each polynomial

For, Polynomial A: We have:

[tex]A: (4x^2 - 4x)(x^2 - 4)[/tex]

Factor out 4x

[tex]A: 4x(x - 1)(x^2 - 4)[/tex]

Apply difference of two squares on x^2 - 4

[tex]A: 4x(x - 1)(x - 2)(x+2)[/tex]

For, Polynomial B: We have:

[tex]B: (x^2 + x - 2)(4x^2 - 8x)[/tex]

Expand x^2 + x - 2

[tex]B:(x^2 + 2x - x - 2)(4x^2- 8x)[/tex]

Factorize:

[tex]B:(x(x + 2) -1(x + 2))(4x^2- 8x)[/tex]

Factor out x + 2

[tex]B:(x -1) (x + 2)(4x^2- 8x)[/tex]

Factor out 4x

[tex]B:(x -1) (x + 2)4x(x- 2)[/tex]

Rearrange

[tex]B: 4x(x - 1)(x - 2)(x+2)[/tex]

The simplified expressions are:

[tex]A: 4x(x - 1)(x - 2)(x+2)[/tex] and  

[tex]B: 4x(x - 1)(x - 2)(x+2)[/tex]

Hence, both polynomials are equal

[tex]A = B[/tex]

Answer the photo below thanks

Answers

Answer:

x=50

Step-by-step explanation:

65+65=130

180-130=50

Answer:

50 is the answer

Step-by-step explanation:

this is a isosceles triangle having 65 and 65

then 65 + 65 + x = 180 property of traingle

130 + x = 180

x = 180- 130 = 50

I know the answer for this isn't a , but I'm not sure what the answer is. Cuz I would think you would be z y , y x, and XZ but that's not answer choice ​

Answers

Answer:

its the first one

Step-by-step explanation:

Please help quick will give brainliest!

Answers

Answer:

The function's behavior close to the vertical asymptote, x = 2 is;

[tex]\lim\limits_{x \to 2^-} f(x) = \infty[/tex] and [tex]\lim\limits_{x \to 2^+} f(x) = -\infty[/tex]

Step-by-step explanation:

From the graph of the function. we have;

1) As 'x' approaches 2 from the left (x → 2⁻), the graph with 'u' shape located in the middle of the three graphs, approaches infinity (arrow pointing up)

2) As 'x' approaches 2 from the right (x → 2⁺), the graph with 'n' shape located at the right side of the three graphs, approaches negative infinity (-∞) (arrow pointing down)

Therefore, the function's behavior close to the vertical asymptote, x = 2 is given as follows;

[tex]\lim\limits_{x \to 2^-} f(x) = \infty[/tex] and [tex]\lim\limits_{x \to 2^+} f(x) = -\infty[/tex]

What is the value of so that −10and 10are both solutions of 2−=70

Answers

Answer:I think 7

Step-by-step explanation:

What is the prime factorization of 91?

Answers

Answer:

The factors of 91 by prime factorization are 1, 7, 13 and 91. Here, 7, and 13 are the prime factors of 91.

Step-by-step explanation:

AVALIAÇÃO DIAGNÓSTICA
Resolva os problemas abaixo
1) O quilo do feijão que custava R$ 3,90 teve um aumento de 70% Oual é o novo preço do quilo do
feijão?
2) O aluguel de uma casa teve um reajuste e passou de R$ 500,00 para R$ 925,00. Qual foi o percentual
de aumento do aluguel dessa casa​

Answers

Answer:

hhhsyeuru isuegrjro ehgeurov didyrhy

the sum of 8 and B is greater than 22

Answers

Given:

The sum of 8 and B is greater than 22.

To find:

The inequality for the given statement and its solution.

Solution:

We know that, sum of two number is the addition of two numbers.

Sum of 8 and B = 8+B

It is given that, the sum of 8 and B is greater than 22.

[tex]8+B>22[/tex]

Subtracting 8 from both sides, we get

[tex]8+B-8>22-8[/tex]

[tex]B>14[/tex]

Therefore, the required inequality for the given statement is [tex]8+B>22[/tex] and the solution is [tex]B>14[/tex].

(p^2 )^5
find the product

Answers

Answer:

p^10

Step-by-step explanation:

when they're set up like that you multiple thw exponents to get what the new one would be ao 5 * 2 = 10.

Answer:

[tex]{( {p}^{2} ) }^{5} = {p}^{2 \times 5} \\ = {p}^{10} [/tex]

The space that sand fills varies directly with its mass. If 2,400 kg of sand fill 1.5 cubic meters, how much sand is needed to fill 2.25 cubic meters? PLEASE I REALLY NEED HELP!

Answers

Answer:

3,600 kg

Step-by-step explanation:

2,400÷6=400

400×3=1200

2,400+1,200= 3,600 kg

Find the solution of y = 5x – 4 for x = –6.


(26, –6)

(-6, -[tex]\frac{2}{5}[/tex])

(–6, –50)

(–6, –34)

Answers

The answer is (-6,-34)
Because since x = -6 u substituted so the equation will be y= 5(-6)-4 so y=-34 making the answer (-6,-34)

What is 12 * 54 plus 88 ?

Answers

Answer: 736

Step-by-step explanation: Hope that helps!!!!

Happy valentines day and have a great day!

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