When a water tank is $30\%$ full, it contains 27 gallons less than when it is $20\%$ empty. How many gallons of water does the tank hold when it is full?

Answers

Answer 1

Answer:

54 gallons

Step-by-step explanation:

Let x represent the volume of the full tank.

When the water tank is 30% full;

= 30% of x = 0.30x

when it is 20% empty:

= x - 20% of x = x - 0.20x = 0.80x

The difference is given as 27.

So, we can represent the question on an equation as;

0.80x - 0.30x = 27

Solving the equation, we have;

0.50x = 27

x = 27/0.50

x = 54 gallons

The tank can hold 54 gallons when it is full.

Answer 2

Answer:

54

Step-by-step explanation:


Related Questions

Zapisz w postaci ułamka dziesiętnego: A)224/10=....... B)5315/10=...... C)3783/100=...... D)34502/1000...... Proszę o szybką odpowiedź Daje naj i 20 punktów

Answers

Answer:

[tex]\frac{224}{10}=22.4\\ \frac{5315}{10}=531.5\\\frac{3783}{100}=37.83\\ \frac{34502}{1000}=34.502[/tex]

Step-by-step explanation:

To solve the problem, we need to write each fraction in decimal form.

Notice that each denominator is 10 based, which means we only have to move the decimal point according to the total number of zeros have the denominators. If the denominator is 10, we move the decimal point one spot to the left, if the denominator is 1000, we move the decimal point three spots to the left, and so on.

[tex]\frac{224}{10}=22.4\\ \frac{5315}{10}=531.5\\\frac{3783}{100}=37.83\\ \frac{34502}{1000}=34.502[/tex]

given the two perallel line ,determine the measure of x a= x=125 b= x=135 c= x=45 d= x=55


Please help me

Answers

Answer:a

Step-by-step explanation:

The formula to convert °F to °C is C = C equals StartFraction 5 Over 9 EndFraction left-parenthesis F minus 32 right-parenthesis.(F – 32).

Convert 50°C to °F.

10°F
20°F
122°F
132°F

Answers

if my mathematics are correct the answer should be 122F

The temperature in degree Fahrenheit is (c) 122

The function is given as:

[tex]C = \frac 59(F - 32)[/tex]

When the temperature is 50 degrees Celsius, it means that:

C =50

Substitute 50 for C in [tex]C = \frac 59(F - 32)[/tex]

[tex]50 = \frac 59(F - 32)[/tex]

Multiply through by 9

[tex]450 = 5(F - 32)[/tex]

Divide both sides by 5

[tex]90 = F - 32[/tex]

Add 32 to both sides

[tex]F = 90 +32[/tex]

[tex]F = 122[/tex]

Hence, the temperature in degree Fahrenheit is (c) 122

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In ΔGHI, the measure of ∠I=90°, IG = 48 feet, and HI = 22 feet. Find the measure of ∠G to the nearest tenth of a degree.

Answers

Answer: 24.6

Step-by-step explanation:

The x, which is a letter that stands for or represents an unknown value/number, is called the:

Answers

Answer:

variable

Step-by-step explanation:

that is the textbook definition of variable

A dolphin is swimming at a constant speed. It travels 30 meters every 5 seconds. What is the slope of the line that shows the relationship between x, time in seconds, and y, the distance in meters traveled by the dolphin?

Answers

Answer:

slope is 6

Step-by-step explanation:

slope is defined as you move from left to right or from up to down.

30 meters/5 seconds = 6

Bob is performing an experiment to learn more about probability. He has a box of pink, yellow, blue, and white ribbons. He randomly picks a ribbon from the box and then replaces it. He does this 100 times. The table shows the number of times he picks a ribbon of each color. Ribbon Color Number of Times Picked pink 10 yellow 20 blue 40 white 30 The relative frequency of picking a pink ribbon is . The relative frequency of picking a white ribbon is . It is most likely that the number of ribbons in the box is the highest. It is most likely that the number of ribbons in the box is the lowest

Answers

Answer:

1. 0.1

2. 0.3

3. blue

4. pink.

Step-by-step explanation:

Got it right, hope this helps! :)

The blue ribbon was picked the most with a relative frequency of 40%, which means it is most likely that there are more blue ribbons in the box than the other colors.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

The relative frequency of picking a pink ribbon is found by dividing the number of times a pink ribbon was picked by the total number of times Bob picked a ribbon:

Relative frequency of pink ribbon = 10/100 = 0.1 or 10%

Similarly, the relative frequency of picking a white ribbon is:

Relative frequency of white ribbon = 30/100 = 0.3 or 30%

To determine which ribbon color is most likely to be the highest or lowest, we can compare the relative frequencies.

The blue ribbon was picked the most with a relative frequency of 40%, which means it is most likely that there are more blue ribbons in the box than the other colors.

Conversely, the pink ribbon was picked the least with a relative frequency of 10%, which means it is most likely that there are fewer pink ribbons in the box than the other colors.

Hence, the blue ribbon was picked the most with a relative frequency of 40%, which means it is most likely that there are more blue ribbons in the box than the other colors.

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Son of Hannah‘s plants need water every day some need water every other day and some need water every third day if she what is an all today how many days will it be before she waters them all again

Answers

Answer:

3 days

Step-by-step explanation:

Some of Hannah‘s plants need water every 1 day.

Some need water every third(3) day.

If she waters them all today, we are to determine when next she will waters them all again.

To do this, we find the lowest common multiple of 1 and 3.

L.C.M of 1 and 3=3

Therefore, in 3 days time, she will water them all again.

What is the distance in scientific notation?
0.0065 meters

Answers

Answer:

this is the right answer : 6.5 * 10^-3 m

Please answer quick!!

Linda randomly surveyed 20 teachers at her school about whether they prefer chalkboards or dry erase boards. She repeated the survey three times with three different sets of teachers.

A 3-column table with 3 rows. Column 1 has entries Sample 1, Sample 2, Sample 3. Column 2 is labeled Chalk with entries 12, 9, 1. Column 3 is labeled Dry Erase with entries 8, 11, 19.

Which pair of Linda’s samples seems to have the lowest variability and, therefore, are representative samples?
A.Samples 1 and 2
B.Samples 1 and 3
C.Samples 2 and 3
D.None of the samples

Answers

Answer:

A

Step-by-step explanation:

Answer:

✔ samples 1 and 2

Step-by-step explanation:

Linda randomly surveyed 20 teachers at her school about whether they prefer chalkboards or dry erase boards. She repeated the survey three times with three different sets of teachers.

A 3-column table with 3 rows. Column 1 has entries Sample 1, Sample 2, Sample 3. Column 2 is labeled Chalk with entries 12, 9, 1. Column 3 is labeled Dry Erase with entries 8, 11, 19.

Which pair of Linda’s samples seems to have the lowest variability and, therefore, are representative samples?

Determine whether the following system of equations has one solution, no solution, or an infinite number of solutions. Explain your reasoning.

2x - 4y = 10
7x - 9y = 12

Answers

Answer:

One solution. The lines do not have the same slope (so not parallel) and are not the same line (so not infinitely many solutions). It intersects at one point, therefore it has one solution.

Step-by-step explanation:

I attached the work for your question. Please see the attachment.

pls help me for 18 points

Answers

Answer:

The answer is 6/6 and 1/6. The mixed number would be 1 1/6

Step-by-step explanation:

Take 7/6 and find out how many 1/6 there are. The are 7. Take them and make 6 go into one and you have 1/6 left over. So the mixed number would be 1 1/6

Solve for x.
Your answer must be simplified.


-3 < x-10

Answers

Answer:

The answer is x>7

Step-by-step explanation:

Hope this helps

Solve this problem,
Each month, Megan babysits for a total of 50 hours. How many hours will she spend
babysitting in a year?
hours
Type the correct answer.

Answers

............ .......

All the children of a class were asked to choose between the cartoon shows 'Shin Chan' and 'Tom and Jerry'.The ratio of children who selected the cartoon 'Shin Chan' to those who selected the cartoon 'Tom and Jerry', was 3:1.
If 45 kids selected 'Shin Chan', how many students are there in the class totally?

Answers

If there are 45 as the 3 ratio, you just divide the 45 by 3 and it gives you the 1 ratio. 45/3= 15, so 15 children picked atom and Jerry. 45+15= 60. There are 60 students in class :)

karsten has 5 apples rebecca has 10 apples how many apples are there in total? yes

Answers

Answer:

15 apples

Step-by-step explanation:

Add 10 and 5,

10 + 5 = 15

Which form or linear equations are these pls help last day of school due tonight !

Answers

Answer:

standard form

Step-by-step explanation:

What is the answer to this

Answers

Answer:

b i think

Step-by-step explanation:

As an estimation we are told £3 is €4.
Convert €67.50 to pounds.
Give your answer rounded to 2 DP.

Answers

Answer:

£50.63

Step-by-step explanation:

If €4 = £3

Therefore one €1 = £3/4

Now, Converting  €67.50 to pounds,

67.50 * 3/4 =  £50.625

£50.63 (answer rounded to 2 DP)

Current time conversion,

67.50 Euro equals  60.68 Pound sterling

Pls help, Which shows how to solve the equation Three-fourths x = negative 6 for x in one step?
A.Three-fourths (four-thirds) x = negative 6 (four-thirds)
B.Three-fourths (4) x = negative 6 (4)
C.Three-fourths (4) x = negative 6 (3)
D.Three-fourths (four-thirds) x = negative 6 (three-fourths)

Answers

Answer:

answer A is correct

Step-by-step explanation:

3/4 * x = - 6

4/3 * 3/4 * x = 4/3 * - 6. This is answer A

12/12 * x = -24/3

1 * x = - 8

x = - 8

So you see answer A is correct.

Answer:

The correct answer is A

In a class of c child, ¾ are boys. How many of them are girls?

Answers

Answer:

I'm going to say that there is one girl in the class


What is the slope of a line that is perpendicular to the line shown on the graph?

–4


4

Answers

Answer:

its 4

Step-by-step explanation:

got a 100 on the test

Answer:

D

Step-by-step explanation:


You are making a colorful cake for a birthday party and need to use 4 drops of food coloring for every 5 ounces of icing. How many drops of food coloring do you need if
you are using 30 ounces oficing?

Answers

Answer:

24 drops of food coloring

Step-by-step explanation:

First, since there are 30 ounces, divide by 5, because there are 4 drops in every 5 ounces of icing. Since 30÷5=6, You have to multiply it by 4 to get 24. You multiply by 4 because there are 4 drops in 5 ounces of icing.

24 drops of food colouring are needed if you are using 30 ounces oficing.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

First, since there are 30 ounces, divide by 5, because there are 4 drops in every 5 ounces of icing.

Since 30÷5=6, You have to multiply it by 4 to get 24. You multiply by 4 because there are 4 drops in 5 ounces of icing.

Therefore 24 drops of food colouring are needed if you are using 30 ounces of icing.

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Harry bought 3 shirts that cost the same amount each. He also bought a pair of pants for $25. He spent a total of $70 on all items. Which equation could be used to calculate the cost of each shirt.

Answers

Answer:

70 - 25 ÷ 3

Step-by-step explanation:

Yeah it doesn't really need an explanation because I just did the work for you lol.

Plz click the Thanks button!

<Jayla>

Use sigma notation to represent the sum of the first seven terms of the following sequence: 4, 10, 16, …

Answers

Answer: 154

Step-by-step explanation:

[tex]a_1=4,\ d=6\quad \rightarrow \quad a_n=4+6(n-1)\quad \rightarrow \quad a_n=6n-2\\\\\\\sum^7_{n=1}6n-2\\\\\\a_1=4\\a_7=40\\\\\\S_n=\dfrac{a_1+a_7}{2}\cdot n\qquad =\dfrac{4+40}{2}\cdot 7\qquad =22\cdot 7\qquad =\large\boxed{154}[/tex]

Answer:

154 I think

Step-by-step explanation:

Martin has 4 tickets to Ice Fantasy with the Stars. They cost him $15.75 each, plus $3.50 in handling per ticket, and $9.50 in shipping. What was the total cost of the tickets?


$86.50


$79.50


$99.50


$70.00

Answers

Answer:

115

Step-by-step explanation:

Answer:

Step-by-step explanation:

$86.50

Radius = 11 cm.; Height = 10 cm.

Answers

Answer:

[tex]3801.32 {cm}^{3} [/tex]

Step-by-step explanation:

[tex]V

=

π

{r}^{2}

h

\\

=

π

·

{11}^{2}

·

10

\\

3801.3271[/tex]

Find the area of the shaded region. Round your answer to the nearest hundredth.

Answers

Answer:

the answer is 1/3

Step-by-step explanation:

Answer:

Answer is 69

Step-by-step explanation:

What’s the answer to -8xy+2xy

Answers

Answer:

-8xy+2xy=-6xy


Divide and answer in simplest form :) 5/3÷3





Answers

Answer:

5/9

Step-by-step explanation:

5/3÷3

Copy dot flip

5/3 * 1/3

5/9

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