The ages of three siblings are consecutive integers. The sum of their ages is 42. Calculate their ages. *

Answers

Answer 1

Answer:

13, 14, 15

Step-by-step explanation:

Let x = age of one of the siblings

Since the age of the siblings are consecutive integers, the age of the next sibling would be x + 1 and the age of the third sibling would be x + 2

x +( x +1) + (x +2) = 42

3x + 3 = 42

collect like terms and solve for x

x = 13

The age of the first sibling is 13

The age of the second sibling is x + 1 = 13 + 1 = 14

The age of the third sibling is x + 2 = 13 + 2 = 15


Related Questions

Write an equation in point-slope form for the line that passes through the point with the given slope.

Answers

Answer:

Slope: 3

Equation: y + 2 = 3(x + 1)

Step-by-step explanation:

Find the slope using (-1, -2) and (0, 1):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - (-2)}{0 - (-1)} = \frac{3}{1} = 3 [/tex]

Slope (m) = 3

The equation can be represented in point-slope form, y - b = m(x - a)

Where,

(-1, -2) = (a, b)

m = 3

Plug in the values into y - b = m(x - a)

y - (-2) = 3(x - (-1))

y + 2 = 3(x + 1)

Sarah earns $20 a day working after school. She spent 30% of her daily earnings on Monday. How much money did she spend on Monday?

Answers

Answer:

28.57

Step-by-step explanation:

A map of two cities is plotted on a coordinate grid one city is centered at -60,40 while the other is at 40,20 a rest station lies at the midpoint of a straight road joining the centers of each city what is the location of the rest station

Answers

Answer: -10, 30

Explanation: I found the median of x and y and put it together

Answer: -10,30

Step-by-step explanation: I drew the graph, and it lined with 30 and interCepted -10

A basketball team played six games. In those​ games, the team won by 8 ​points, lost by 7 ​, won by 9 ​, won by 11 ​, lost by 3 ​, and won by 6 . What was the mean difference in game scores over the six​ games?

Answers

Answer:

4

Step-by-step explanation:

From the question, we were told that a basket ball team six games and in those games, the team won by 8 points, lost by 7, won 9 , won 11 , lost by 3 and won by 6

The mean difference in games scored over the six games would be calculated as the addition of the scores divided by 6

= [8 + (-7) + 9 + 11 + (-3) + 6] / 6

= 24 / 6

= 4

=

Classify the system and give the number of solutions.
answer choice
This system is consistent. It has infinitely many solutions.
This system is inconsistent. It has infinitely many solutions.
This system is inconsistent. It has no solutions.
This system is consistent. It has one solution.

Answers

Answer: i think it’s going to be inconsistent with no solution

Step-by-step explanation:

How do I find the answer to this? I’m struggling.

Answers

Ok. Add the hours worked that week. You get 41.75

He makes 11.50 for the first 40 hours so multiply those. You get $460.

There are 1.75 hours he gets overtime for. So multiply 1.75(11.50)(1.5). You’ll get $30.19. That’s his overtone pay so add it to the 460.

$490.19.

what does pre-image mean ? like when your using a graph & they ask “what the preimage of (4,2) what does that mean ?

Answers

the image before the transformation

Need help ASAP!!! I'll give brainliest to the correct answer!!

A.) 12.25 units
B.) 12.7 units
C.) 10.25 units
D.) 10 units

Answers

Answer:

D

Step-by-step explanation:

We can use the ratios 8:9 and x:11.25 are similar.

then we can make them fractions and solve. 8/9=x/11.25

That would make 9x=90

so the answer is D

Use a graphing calculator to solve

Answers

Answer:

36, 12, 4

Step-by-step explanation:

Divide the number by 3 to get the next one.

Look at the box pls and help me

Answers

Answer:

y = 4x + 11

Step-by-step explanation:

From the question given above, the following data were obtained:

Coordinate = (–2, 3)

Slope (m) = 4

We can express the above in slope intercept form as follow:

Slope (m) = 4

x–coordinate (x₁) = –2

y–coordinate (y₁) = 3

y – y₁ = m(x – x₁)

y – 3 = 4(x – –2)

y – 3 = 4(x + 2)

y – 3 = 4x + 8

Make y the subject of the expression by rearranging

y = 4x + 8 + 3

y = 4x + 11

Therefore, the slope intercept form is

y = 4x + 11

At the animal shelter for every 6 dogs they had 4 cats. If there are 80 pets in total at the animal
shelter, how many dogs are there

Answers

Answer60

Step-by-step explanation:

The lowest temperature ever recorded in the United States was -62 degrees Celsius, in Prospect Creek Camp, Alaska. The average temperature on Mars is about -55 degrees Celsius.

Which is warmer, the coldest temperature recorded in the USA, or the average temperature on Mars? Explain how you know.
Write an inequality to show your answer. Check your work with the video when you are ready.

Answers

Answer:

United States

Step-by-step explanation:

-62 < -55?

Because on the number line, -62 is farther left than -55.

-8+y=14

Solve the equation for the value of the variable show all work please please help me:):)

Answers

Answer:

y = 22

Step-by-step explanation:

we want to move the -8 to the other side, so 14+8 = 22

y = 22

check: -8 + 22 = 14

Answer:

[tex] \underline{ \boxed{y = 22}}[/tex]

Step-by-step explanation:

[tex]if \to : -8+y=14 \: ..... \\ \: we \: need \: to \: solve \: for \: (y)\\ -8+y=14 \: ..... \\ \: (add \: ( + 8) \: to \: the \: right \: and \: left) \to : \\ - 8 + 8 + y = 14 + 8 \\ 0 + y = 22 \\ \boxed{y = 22}[/tex]

Answer correctly for brainliest +10 points! please asap

Answers

Answer:

it would be ac=ab over ea=da

Step-by-step explanation:

Measure of angle 3 need help

Answers

Answer: ∠3 = 120°

Step-by-step explanation:

∠3 and m∠60° are linear pairs so they had up to 180°

∠3 + 60 = 180

Subtract both sides by 60

∠3 = 120

20 points!
Just need help on these questions
I will try to mark brainliest!

Answers

Answer:

the first one is 45% I don't no the second one

Solve for x. Please Help

Answers

I’m pretty sure it would be C
The third choice is the answer.

the lager value of y for which (y-1)²=4y-7 is​

Answers

Answer:

the lager value of y is 4.

Step-by-step explanation:

Given;

(y-1)² = 4y - 7

Simplify as follows;

(y - 1)(y - 1) =  4y - 7

y² - y - y + 1 =  4y - 7

y² - 2y  +  1  =  4y - 7

Collect like terms

y² -2y - 4y + 1 + 7 = 0

y² - 6y + 8 = 0

Factorize the equation;

y² -2y - 4y + 8 = 0

y(y - 2) -4(y - 2) = 0

(y - 2)(y - 4) = 0

y = 2   or   y = 4

Thus, the lager value of y is 4.

What is the value of x in simplest radical form?

Answers

Answer:

x= 29

Step-by-step explanation:

[tex]x^2=20^2+21^2\\\\x^2=400+441\\\\x^2=841\\\\x^2=29^2\\\\x=29[/tex]

To the nearest tenth, what is the perimeter of the triangle with vertices at (−2, 3), (3, 6), and (2, −2)?

Answers

9514 1404 393

Answer:

  20.3

Step-by-step explanation:

The distance formula can be used to find the side lengths.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

For the first two points, ...

  d = √((3 -(-2))^2 +(6 -3)^2) = √(5^2 +3^2) = √34 ≈ 5.83

For the next two points, ...

  d = √((2 -3)^2 +(-2-6)^2) = √(1 +64) = √65 ≈ 8.06

For the last and first points, ...

  d = √((-2-2)^2 +(3-(-2)^2) = √(16 +25) = √41 ≈ 6.40

Then the sum of the side lengths is ...

  5.83 +8.06 +6.40 = 20.29 ≈ 20.3

The perimeter of the triangle is about 20.3 units.

Order from least to greatest −1/2, -1.5, -3/5, -0.3, 0, 0.8, 0.25, 1/3, 3/4, 2 3/4

Answers

-1.5, -3/5, -1/2, -0.3, 0, 0.8, 0.25, 1/3, 3/4, 2 3/4

Answer:

-1.5, -3/5, -1/2, -0.3, 0, .25, 1/3, 3/4, .8, 2 3/4

what is the domain and range of f(x)= 1.5(x)?

Answers

Answer: look at the picture and you will see the answer

Step-by-step explanation: hope this help

Find the opposite of integer of 10​

Answers

-10

Since 10 is positive, the opposite of a posture number is a negative .. so -10

Hey there!

• Fact/ Guide: The OPPOSITE of POSITIVE is NEGATIVE and OPPOSITE of NEGATIVE is POSITIVE, so this makes your answer a NEGATIVE since it’s the OPPOSITE of POSITIVE

• –10 is the OPPOSITE of 10

Answer: –10☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Random Note ⬇️

• NEGATIVES are BELOW 0

• POSITIVES are ABOVE 0

simultaneous equations
x+y=5
x squared-y squared=15​

Answers

Answer:

(4,1)

Step-by-step explanation:

easiest method is to graph each equation and look for point(s) of intersection

Answer: x=4, y=1.

Step-by-step explanation:

[tex]\left \bigg \{ {\big{x+y=5} \atop\big {x^{2}-y^{2} =15}} \right.\\\\x+y=5\\x+y-y=5-y\\x=5-y\\\\(5-y)^{2} -y^{2} =15\\5^{2} -10y+y^{2} -y^{2}=15\\25-10y=15\\25-10y-25=15-25\\ -10y=-10\\-10y \div (-10)=-10 \div (-10)\\y=1\\\\x+y=5\\x+1=5\\x+1-1=5-1\\x=4[/tex]

in an academic contest, correct answers earn 12 points and incorrect answers lose 5 points. In the final round, School A starts with 165 points and given the same number of correct and incorrect answers. School B starts with 65 points and given no incorrect answers and the same number of correct answers as School A. The game ends with the Schools tied.

Part A: Which equation models the scoring in the final round and the outcome of the contest?
A.) 12x + 5x - 165 = -12x + 65
B.) 12x - 5x + 165 = 12x + 65
C.) 5x - 12x + 165 = 12x + 65
D.) 12x - 5x - 165 = 12x +65

Part B: How many answers did each school get correct in the final round?

Answers

Answer:

part a is b part b is 230 tell me if im wrong

Step-by-step explanation:

Step-by-step explanation:

Let x represent the number of correct answers School A gave.

Then x is also the number of incorrect answers School A gave and the number of correct answers School B gave.

Final score of School A

= 165 + 12x - 5x.

Final score of School B

= 65 + 12x

Hence the correct equation is

12x - 5x + 165 = 12x + 65. (B)

=> 7x + 165 = 12x + 65

=> 5x = 100

=> x = 20

Hence Schools A and B got 20 correct answers each.

calculate the percentage increase in cases from 2007 to 2009?​

Answers

Answer:

7.6%

Step-by-step explanation:

1141/15000 × 100 = 7.60667

but it's not an option...

the difference between 15000 and 16141 is 1141

We will move past Coronavirus and recover.
Just remember to wear your mask.
Get the vaccine once it comes out.
Stay at home unless absolutely necessary.
#TogetherWeRecover2021

Answers

Answer:

can you heart this so i can get some point for my homework

Step-by-step explanation:

A family wants to rent a car to go on vacation. Company A charges ​$30.50 and 10¢ per mile. Company B charges ​$55.50 and 18¢ per mile. How much more does Company B charge for x miles than Company A​?

Answers

Answer:

$25 and 8 cents more

Step-by-step explanation:

55.50 - 30.50 = 25

18 - 10 = 8

What type of number can √134 be classified as?

A) irrational number
B) Rational number
C) integer
D) whole number

What type of number is 0 classified as?

A) Irrational number
B) Whole number
C) Integer

Answers

Answer:

[tex] \sqrt{134 } = irrational \\ 0 = whole \: no. \: and \: integer. \\ hope \: it \: helps \\ plzz \: mark \: as \: brainliest....[/tex]

:-)

Can someone help me?please I will make it 15 points

Answers

Answer:

Quadratic:

a.

c.

e.

i.

j.

Neither:

f.

h.

Linear:

b.

d.

g.

Step-by-step explanation:

Linear equations are generally expressed in the form y = mx + b - the highest exponent of x is one.

Quadratics are expressed as y = ax^2 + bx + c - the highest exponent of x is two.

Any equation with an exponent of x higher than two is neither linear nor quadratic, but instead cubic or higher.  Therefore we can simply sort these equations by the highest exponent of x present after simplifying.

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