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
eimsori [14]
2 years ago
5

Trish has two containers of water for a camping trip. One container holds 2 times as much as the other. The total amount of wate

r is 21 gallons. How much water is in each container?
Mathematics
1 answer:
Bogdan [553]2 years ago
8 0

Answer: 7 gallons; 14 gallons

Step-by-step explanation:

Let the amount of water in the first container be x.

Since one container holds 2 times as much as the other, the second container will be: = x × 2 = 2x

The total amount of water is 21 gallons. This means:

x + 2x = 21

3x = 21

x = 7 gallons

First container = 7 gallons

Second container= 2x = 2×7 = 14 gallons

You might be interested in
Please help! i can’t seem to find the answer to this question.
sleet_krkn [62]

Answer:

the following points would make a trapezoid

8 0
2 years ago
Read 2 more answers
Suppose that the length of a side of a cube X is uniformly distributed in the interval 9
Nastasia [14]

Answer:

f(v) = \left \{ {{\frac{1}{3}v^{-\frac{2}{3}}\ 9^3 \le v \le 10^3} \atop {0, elsewhere}} \right.

Step-by-step explanation:

Given

9 < x < 10 --- interval

Required

The probability density of the volume of the cube

The volume of a cube is:

v = x^3

For a uniform distribution, we have:

x \to U(a,b)

and

f(x) = \left \{ {{\frac{1}{b-a}\ a \le x \le b} \atop {0\ elsewhere}} \right.

9 < x < 10 implies that:

(a,b) = (9,10)

So, we have:

f(x) = \left \{ {{\frac{1}{10-9}\ 9 \le x \le 10} \atop {0\ elsewhere}} \right.

Solve

f(x) = \left \{ {{\frac{1}{1}\ 9 \le x \le 10} \atop {0\ elsewhere}} \right.

f(x) = \left \{ {{1\ 9 \le x \le 10} \atop {0\ elsewhere}} \right.

Recall that:

v = x^3

Make x the subject

x = v^\frac{1}{3}

So, the cumulative density is:

F(x) = P(x < v^\frac{1}{3})

f(x) = \left \{ {{1\ 9 \le x \le 10} \atop {0\ elsewhere}} \right. becomes

f(x) = \left \{ {{1\ 9 \le x \le v^\frac{1}{3} - 9} \atop {0\ elsewhere}} \right.

The CDF is:

F(x) = \int\limits^{v^\frac{1}{3}}_9 1\  dx

Integrate

F(x) = [v]\limits^{v^\frac{1}{3}}_9

Expand

F(x) = v^\frac{1}{3} - 9

The density function of the volume F(v) is:

F(v) = F'(x)

Differentiate F(x) to give:

F(x) = v^\frac{1}{3} - 9

F'(x) = \frac{1}{3}v^{\frac{1}{3}-1}

F'(x) = \frac{1}{3}v^{-\frac{2}{3}}

F(v) = \frac{1}{3}v^{-\frac{2}{3}}

So:

f(v) = \left \{ {{\frac{1}{3}v^{-\frac{2}{3}}\ 9^3 \le v \le 10^3} \atop {0, elsewhere}} \right.

8 0
2 years ago
Sammy rides his bike to school and to pick up his sister at her school. He rides 4 miles round trip to his school. To his sister
KatRina [158]

Answer: 300

Step-by-step explanation: First of all calcute how much per day, which is 5 miles. Then by 5 days which is 25. Now by 12 which is 300.

Hope this helped :)

4 0
2 years ago
?<br><br>2 to the 3rd power - 5 x (6 + 4) ÷ 2<br><br>show your work​
Delvig [45]

Answer:

-17

Step-by-step explanation:

2^3 - 5 * (6 + 4) ÷ 2

Following PEMDAS, we must focus on the parenthesis first.

2^3 - 5 * (6 + 4) ÷ 2

2^3 - 5 * (10) ÷ 2

Now we will focus on the exponent:

2^3 - 5 * 10 ÷ 2

8 - 5 * 10 ÷ 2

Now Multiplication/Division.

This is where you must follow the order in the equation where you see the multiplication sign first, so you multiply first.

8 - 5 * 10 ÷ 2

8 - 50 ÷ 2

Next, Divide:

8 - 50 ÷ 2

8 - 25

Subtract:

8 - 25

-17

2^3 - 5 * (6 + 4) ÷ 2 = -17.

4 0
3 years ago
Read 2 more answers
A cube has volume 1200 cubic inches. Write the edge length of the cube as a power.
ludmilkaskok [199]
1200 is the domain the answer is times the domain
8 0
2 years ago
Other questions:
  • Graph C (3, 2). Translate the point left 3 units and down 1 unit. Graph the image point C
    15·1 answer
  • The circumference of a circle is 28π inches. What is the length of the radius of this circle?
    12·2 answers
  • Task F has duration of 10 days and an earliest start date of 20 days. Based on the given data, determine the finish date for tas
    8·1 answer
  • Janet bought4/5 of a pound of walnuts. Her family ate 1/3 of a pound. How much is left?
    10·2 answers
  • Which is a solution for 3 &gt; f? f = 7 f = 9 f= 3 f =2?
    15·1 answer
  • 3x = 12 isolates the variable on one side?
    7·1 answer
  • Will mark brainliest!
    9·2 answers
  • 2 is what percent of 50?<br> Write your answer using a percent sign (%).<br><br> Pls help
    14·1 answer
  • Solve: 1 × -23 = Question 9 options: -1 1 23 -23
    11·1 answer
  • Factorize x3 -2x2 -5x+6
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!