1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
amm1812
3 years ago
6

The ages of three siblings combined is 27. The oldest is twice the age of the youngest. The middle child is 3 years older than t

he youngest.
Mathematics
2 answers:
kondaur [170]3 years ago
7 0

Answer:

the oldest sibling is 12 years old.

The middle child is 9 years old.

The youngest child is 6 years old.

Step-by-step explanation:

Let the age of the youngest child be x

Then the oldest child will be 2x.

The middle child will be x + 3.

Since the combined age is 27;

x + 2x + x + 3 = 27

4x = 27 - 3

x = 24 / 4

x = 6

now 2x = 12 and x + 3 = 9

leonid [27]3 years ago
3 0

Answer:

oldest is 12

middle is 9

youngest is 6

all add up to 27

Step-by-step explanation

idk if i did this right but i did 27 -3 =24

then i divide 24 by 2 which is twelve (the oldest's age)

then 12 divided by 2 is 6 which is the age of the youngest one

6 + 3 is 9, which is the age of the middle one.

You might be interested in
1
Alona [7]

The speed of current will be "4.5 mph" and the rate Pratap can row in still water will be "8.5 mph".

What does "speed" mean in mathematics?

  • Speed is what it means. the speed of a change in an object's location in any direction.
  • Speed is defined as the ratio of distance to the amount of time it took to cover that distance.
  • Speed is a scalar quantity because it just has a direction and no magnitude.

Given:

Distance "26 miles" in time "2 hours".

Let,

Speed of water = y

Pratap speed when rowing in still water = x

As we know,

      Speed = distance/time

then,

  x + y = 26/2

  x + y = 13

 x = 13 - y

In return trip took him time "6.5 hours",

       x - y = 26/6.5

      x - y = 4

By substituting the value of "x", we get

 13 - y - y = 4

  13 - 2y = 4

     2y = 13 - 4

        2y = 9

          y = 9/4 = 4.5 mph (Rate of the current)

By substituting the value of "y", we get

    x = 13 - a

   x = 13 - 4. 5 = 8.5 mph (Pratap can row in still water)

Learn more about speed

brainly.com/question/28224010

#SPJ13

4 0
1 year ago
Lizette wanted to see if it would be possible to use a little less materials in a tea infuser but still not be required to be at
Oksi-84 [34.3K]

Considering the volume of a rectangular prism, since the new volume is greater than the filled volume, the new dimensions would work, and 90.29% of the infuser would be filled.

<h3>What is the volume of a rectangular prism?</h3>


The volume of a rectangular prism of length l, width w and height h is given by:

V = lwh.

The original dimensions are:

h = 7.9 cm, l = 3 cm, w = 1.5.

Hence the volume in cm³ was:

V = 7.9 x 3 x 1.5 = 35.55 cm³.

The infuser was filled to 80% capacity, hence:

Vf = 0.8 x 35.55 = 28.44 cm³.

For the new dimensions, we have that h = 7 cm, hence the volume is:

Vn = 7 x 3 x 1.5 = 31.5 cm³.

28.44/31.5 x 100% = 90.29%.

Since the new volume is greater than the filled volume, the new dimensions would work, and 90.29% of the infuser would be filled.

More can be learned about the volume of a rectangular prism at brainly.com/question/17223528

#SPJ1

4 0
2 years ago
Explain how you would use the number line to solve the following equation. You can write out the fraction names or use the forwa
Dennis_Churaev [7]

Answer: 2

Step-by-step explanation:

1. Convert the mixed numbers to improper fractions,

2. then find the LCD and combine.

4 0
2 years ago
if the probability that the islanders will beat the rangers in a game is 0.44,what is the probability that the islanders will wi
Rama09 [41]

Answer:

30.91% probability that the islanders will win exactly one out of four games in a series against the rangers

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the Islanders win, or they do not. The probability of the Islanders winning a game is independent of other games. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability that the islanders will beat the rangers in a game is 0.44

This means that p = 0.44

What is the probability that the islanders will win exactly one out of four games in a series against the rangers? ​

This is P(X = 1) when n = 4. Then

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{4,1}.(0.44)^{1}.(0.56)^{3} = 0.3091

30.91% probability that the islanders will win exactly one out of four games in a series against the rangers

6 0
3 years ago
Given -3(2x+7)=-29-4x prove x=4
Doss [256]

Answer:

x = 4

Step-by-step explanation:

Given

- 3(2x + 7) = - 29 - 4x ← distribute parenthesis on left side

- 6x - 21 = - 29 - 4x ( add 4x to both sides )

- 2x - 21 = - 29 ( add 21 to both sides )

- 2x = - 8 ( divide both sides by - 2 )

x = 4 ← as required

4 0
3 years ago
Read 2 more answers
Other questions:
  • A person 5 ft tall casts a shadow 13ft long. At the same time a nearby tree casts a shadow 37 ft long. Find the height of the tr
    12·2 answers
  • The following set of coordinates represents which figure?(-5,2), (-3,4), (1,0), (-1,-2)
    9·2 answers
  • Judy solved the quadratic equation
    8·2 answers
  • How to solve this problem -8 + k equals -17
    15·1 answer
  • FInd 2A-B
    10·1 answer
  • 5<br> ogarithmic equation in exponential form:<br> log(5k + 4) = 8r
    13·1 answer
  • What is the length of the longer side ?
    10·1 answer
  • This for accounting. Please help
    13·2 answers
  • Find the circumference of the circle and round to the nearest tenth
    14·1 answer
  • Which shows the image of ARST after the rotation (x, y) → (y, -x)?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!