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

When subtracting these two algebraic expressions, the second expression would be equivalent to:
(3x + 7) - (2x +4)
2.0 -4
O-2.3 - 4
O-20 + 4
O 2x + 4

Answers

Answer:

[tex](-2x-4)[/tex]

Step-by-step explanation:]

Given data

we are given that the expression is

the first expression is[tex](3x + 7)[/tex]

the second expression is[tex](2x +4)[/tex]

[tex](3x + 7) - (2x +4)[/tex]

When we open bracket the second expression becomes

[tex](-2x-4)[/tex]

Can someone help me with these 2 problems thank you

Answers

Answer:

For question 6 there are 3 steps, and for question 7 there are 2 steps

Step-by-step explanation:

Question 6:

step 1. 89 x 2=178

step 2. 89 x 3=267

step 3. 267 + 178=445

Question 7:

step 1. 35 x 3= 105

step 2. 25 x 5= 12

Your're welcome :)

Which conveyed the negative message?




pleasssss​

Answers

Is there supposed to be a picture? I don’t see one.

Find the arc length of the semicircle with a radius of 5

Answers

7.85 is the approximate answer. (If pi is 3.14)

Steps are on paper.

10/27=a/135
what is the answer for this equation?

Answers

Answer:

So we have this equation:

10/27 =  a/135

What we can do is multiply  both sides by 27 and 135:

10*135 = a * 27

1350 = 27a

a = 1350/27. = 50.

If the formula for finding the area of a rectangle is A=bh, then how could you describe the formula for finding the area of a triangle

Answers

Answer:

A=LxW

Step-by-step explanation:

Answer:

El perímetro de un triángulo es igual a la suma de sus tres lados.

b   x h

 2

2
What is the system by which we can convert between
metric and customary units?
A None; it's different for every unit
B A base-6 algorithm
C A base-10 system
D A mix between multiplication and division

Answers

Answer:

i think that it's A.

Step-by-step explanation:

Metric units are the standard units of measurement while customary units are derived from the metric units. To convert between both units, you need a mix between multiplication and division.

Take distance as an instance.

The metric unit of distance is meters.

The customary units are: feet, inches, yards, miles, etc.

To convert from meters to feet, we multiply by 3.281

For instance:

[tex]2\ meters = 2 \times 3.281\ feet[/tex]

[tex]2\ meters = 6.562\ feet[/tex]

To convert from feet to meter, we divide by 3.281.

For instance:

[tex]6.562\ feet = \frac{6.562}{3.281}\ meters[/tex]

[tex]6.562\ feet = 2\ meters[/tex]

Hence, option (d) is true

Read more about metric and customary units at:

https://brainly.com/question/346695

1. A pair of shoes is regularly priced at $52. They are on sale for 15%
off the regular price. What is the sale price of the shoes?

Answers

[tex]52 \times 0.15 = 7.8[/tex]

[tex]52 - 7.8 = 44.20[/tex]

The sale price of the shoes is $44.20

Answer:

52*15/100=7.8$ so u will take away 7.8$ from 52$=44.2$ he has to pay.

Find the equation of the line with slope −15 and y-intercept (0,−2).

Answers

Answer:

y = -15x - 2

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

please please please help asap

Answers

Answer:

∠ UVX = 126.8°

Step-by-step explanation:

∠ WVS and ∠ UVX are vertical angles and congruent, then

∠ UVX = 126.8°

five litres of paint costs R575 .Work out the cost of fifteen litres of paint


Answers

Answer:

first of all learn how to spell liters

1725

Step-by-step explanation:

15 liters of pain will cost Rs.225

What is multiplication?

Multiplication is a process of adding a number repetitively. Mathematically, we can write -

m = a x b

Given is that the 5 liters of paint costs Rs. 75.

5 liters of paint costs Rs. 75.

1 liter of paint will cost Rs. (75/5)

15 liters of pain will cost Rs. (75/5 x 15) = 75 x 3 = Rs. 225

Therefore, 15 liters of pain will cost Rs.225

To solve more questions on cost estimation, visit the link below

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How many units down does susan need to move to get to the fourth point on the number line a. 1/2 b. 3/2 c. 2 d. 4 e. 6

Answers

Answer:

e. 6

Step-by-step explanation:

Hello there!, since there is no prior information concerning the activities performed by Susan, I will explain what a number line is and try as much as possible to answer your question from the definition.

A number line is a line on which integers are usually drawn as points separated by a uniform distance. This way, the number line makes addition and subtraction easier, which is very useful when you want to teach someone these operations.

Now, let assume Susan starts from 0 on the number line, to get to the fourth point, Susan needs to move 4 blocks, where each block contains 10 units.

Now, let's assume that Susan is at the third block and the fourth unit, it will take Susan an additional 6 units to get to the fourth point.

NOTE: The solution to this question was provided based on assumption since no much information was given in the question.


Helppppp plsss
180 35 what is x

Answers

I believe 145
X + 35 = 180

F(x) is a function

A. True

B. False

Answers

Answer: true

Step-by-step explanation:

answer for this problem is A:True

Factorise : x³ + x - 3x² -3​

Answers

Answer:

(x²+1)(x-3)

Step-by-step explanation:

Factorize x³ + x - 3x² -3​

x³-3x²+x-3

Factorize

x²(x-3)+1(x-3)

= (x²+1)(x-3)

Hence the factorized form is (x²+1)(x-3)

Find FG
FGH= 49
GH=31

Answers

Answer:

18

Step-by-step explanation:

From the given diagram;

FGH = 49

GH = 31

Using the expression to get FG;

FG + GH = FGH

FG + 31 = 49

FG = 49-31

FG = 18

Hence the measure of FG is 18

Tyrone went to a basketball game and brought a jersey that was on sale at a 30% discount. He also bought a hat that cost $37.89. Tyrone spent a total of $83.39.

Answers

Guessing we need to find the original cost of the jersey?

83.39 - 37.89 = 45.50 is the sale price of the jersey

x - 0.3x = 45.50 (full price minus 30% of the full price)
0.7x = 45.50, divide by 0.7
x = $65

PLS HELP!!! I dont understand 6 grade math

Answers

Answer:

1st pic) 1 1/2

2nd pic) 40% * x = 35   l   x = 87.5

Step-by-step explanation:

3/4 is half

so multiply by 2 to get the whole

3/4 * 2 = 6/4 = 1 1/2

The length of a swimming pool would be about
А
3 feet
12 inches
12 yards
D
3 miles

Answers

It would be 12 yards :)

Which of these division problems have the same quotient as 12.3 divided by 0.4? Check all that apply.

A. 123 ÷ 4
B. 1.23 ÷ 0.4
C. 1,230 ÷ 40
D. 123 ÷ 0.04

Answers

Answer:

The answer is A and C

Step-by-step explanation:

The answer is A because 12.3 multiplied by 10 is 123, and 0.4 multiplied by 10 is 4.

12.3 * 10 = 123

0.4 * 10 = 4

So, this shows that this equation is the same as 12.3 divided by 0.4

The answer is C because 12.3 multiplied by 100 is equal to 1230, this is the same for 0.4

12.3 * 100 = 1230

0.4 * 100 = 40

So, the answer is both A and C.

Hope this helps! :)

Answer:

12.3 divided by 0.4 is 30.75

Step-by-step explanation:

You then go to letter A and 123/4 is also 30.75

but you go through the rest of the choices just in case.

B is 3.075 so that is incorrect

C is 307.5 so that is also incorrect

D is 3075 and that is incorrect and not 30.75.

Therefore your answer is A.

30.75 = 30.75.

Hope this helps :)

Many insects migrate (travel) between their summer and winter homes. The desert locust migrates about 800 miles farther than the Monarch butterfly every spring, and the pink-spotted hawk moth migrates about 200 miles less than four times the distance of the Monarch butterfly every spring. Laid end to end, the distances traveled by a Monarch butterfly, a desert locust, and a pink-spotted hawk moth is about 12600 miles every spring. How far does each species travel?

Answers

Answer:

Distance travelled by Monarch butterfly = 2000 miles

Distance travelled by desert locust  = 2800

Distance travelled by pink-spotted hawk moth= 7800 miles

Step-by-step explanation:

Let the distance travelled by Monarch butterfly  be "X" miles

Distance travelled by desert locust is equal to X + 800 miles

Distance travelled by pink-spotted hawk moth is equal to 4X -200 miles

The total distance travelled by the three is equal to 12600 miles

[tex]X + X + 800 + 4X -200 = 12600\\6X = 12600 -600\\6X = 12000\\X = 2000[/tex]

Distance travelled by Monarch butterfly = 2000 miles

Distance travelled by desert locust  = 2000 + 800 = 2800

Distance travelled by pink-spotted hawk moth = 4 * 2000 -200 = 7800 miles

Sofia made 10% of her free throws over the season. If she shot 160 free throws, how many did she make?

Answers

Answer:

16

Step-by-step explanation:

160 * 10% = 16

160 * 0.1 = 16

Richard bought a pair of shoes for $37.00, a tie for $22.00, and a new belt for $17.00. If the sales tax is 7.5%, how much sales tax did Richard pay for these items?

Answers

It seems to me, that if you were to add the price of all three items together, then multiply by 7.5%, you'd have the answer.  Remember that 7.5% = .075 ... in other words, that is the number you would multiply the sum of the items by.  Does that help?

A 25 m tall flagpole casts a shadow that is 10 m long. At the same time, a nearby office building casts a shadow that is 26 m long. What is the height of the building?

Answers

Answer:

kmjuhygtfcv nm,kljihuygbv njmihuygb

Step-by-step explanation:

The height of the office building is 65 meter.

What s proportionality in mathematics?

If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.

If equivalent elements in two sequences have a constant product, also known as the coefficient of proportionality, then the two sequences are inversely proportional.

The shadow  of a 25 m tall flagpole casts is = 10 m.

Let  the height of the office  building = x m.

The  shadow  of a x m tall office  building is = 26 m.

From theory of directly  proportionality:

25 : 10 = x : 26

25/10 = x/26

x = (25/10)×26 = 65

Hence,  the height of the office building is 65 meter.

Learn more about proportionality  here:

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a b c d e f g h i j k l m n o p q r s t u v w x y z

Answers

Answer:

???

Step-by-step explanation:

Answer:

now i know my abc's

Step-by-step explanation:

BRAINLIEST to wherever gets this correct ​

Answers

Answer:

300π

Step-by-step explanation:

The only difference in the formulas to find volume of each is that the volume of a cone is 1/3πr² and the volume of a cylinder is just πr²

Pls answer...thanks.


Answers

i think it whether 90 or 180 is there multiple choices?

2.5 pounds of grapes cost $2.25 what is the cost per pound

Answers

Answer:

$0.9 per pound

Step-by-step explanation:

$2.25 divided by 2.5

Answer:

$0.9 per pound

Step-by-step explanation:

$2.25 divided by 2.5

divide the cost of the item by its weight in pounds

Plsssss help me, It says find the area

Answers

Answer:

It should be 136

Step-by-step explanation: I split it up into multiple pieces

Rectangle 1= 20*2=40

Rectangle 2= 14*4=56

Rectangle 3= 20*2=40

40+40+56=136

the area is 136
divide the figure into three rectangles and add all the areas to get the total area

Tionna has saved dimes and quarters in her piggy bank. Define the variables

Answers

Step-by-step explanation:

y = .10d + .25q

y is the total amount, if you have d dimes and q quarters

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