A container holds 8 gallons of water. If 4 5 of a gallon is added to the container each hour, how many hours would it take to fill the container?

Answers

Answer 1

So we know that 4.5 x 2 = 9, so it wouldn't work.
And because it wouldn't work it wouldn't take 2 hours.

4.5 = 1 hour and 9 = 2.

So we'll have to divide 4.5 by 2 by first turning it into a fraction.

4.5 = 4 1/2
4 1/2 ÷ 2 = 2 1/4
2 1/4 = 2.25
2.25 = 30 minutes.
4.5 + 2.25 = 6.75.
1 hour + 30 mins. = 1 hour and 30 minutes.

However we can still keep going.

2.25 ÷ 2 = 1.125
1.125 in fraction form is 1 1/8
1.125 = 15 minutes
1 hour and 30 minutes + 15 minutes = 1 hour and 45 minutes.
6.75 + 1.125 = 7.875
7.875 in fraction form is 7 7/8

Your answer would be it would take 1 hour and 45 minutes.

Related Questions

A rectangle's length is 13meters more than 3 times its width. The area is 10 square meters. What is the width?
A.) 2/3m
B.) 3m
C.) 5m
D.) 10m

Answers

all of these answers are incorrect

Clarence saved 19% of the money he earned. If Clarence earned $90, how much did he save?

Answers

19% is 0.19. 0.19 x 90 is 17.1. Clarence saved $17.1

The amount of money saved is $17.10 .

Percentage can be described as a fraction of a number that is usually expressed as a number out of hundred.

In order to determine the amount of money saved, multiply 19 percent by the amount of money earned.

Amount of money saved = 19% x $90

0.19 x $90 = $17.10

To learn more about percentages, please check: https://brainly.com/question/25764815

Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem.A cube-shaped bin has an edge length of 3/4 yard.What is the volume of the container? Enter your answer, as a fraction in simplest form, in the box.

Answers

This is the work shown with the answer. I hope this helps. God bless

Answer:

The answer is what the other person said, Mark them brainliest cause' the are correct! answer 27/64

Step-by-step explanation:

Find the slope of the line

Answers

y=3/2x+1 is the answer

Y= 3/2 + 1
This would help

PLEASE HELP ASAP!! CORRECT ANSWER GETS BRAINLYEST!!
Multiply. (2x+1)(x−5) Express the answer in standard form. Enter your answer in the box

Answers

[tex](2x+1)(x-5) \\ 2x^2-10x+x-5 \\ 2x^2-9x-5[/tex]

Given is (2x+1)(x−5)

We need to multiply the binomials and write the expression in standard form.

We know about distributive property that is given as "a(b+c) = ab + ac".

We have (2x+1)(x−5).

Step 1: Using Distributive property on first binomial expression (2x+1).

2x(x-5) + 1(x-5)

Step 2: Using Distributive property on second binomial expression (x-5).

2x(x) + 2x(-5) + 1(x) + 1(-5)

2x² - 10x + 1x - 5

Step 3: Combining like terms.

2x² - 9x - 5

Hence, final answer is (2x² - 9x - 5).

PLEASE HELP ASAP!
I will give brainliest!
do question 28 and please explain how you got your answer.
Thank you so much for your time.

Answers

So first lets get everything on the same side of the equals sign:
x²-6x+12

Next lets use the quadratic formula:
(-b±√(b²-4ac))/2a

Now identify a, b, and c:
a=1, b=-6 and c=12 Plug into the quadratic formula: (36±√(36-4(1)(12))/2 (36 ± √-12)/2 (36 ± 2√3i)/2 18 ± i√3

Find the value of the expression:

56 ÷ 7 + 7 × 3

Answers

First, you have to apply the order of operations.

Division and multiplication come first here and they go from left to right. So,

56/7 = 8
7*3 = 21
Then, the addition.
8 + 21 = 29.

So the value of your expression is 29.

The answer to this is indeed 29

hope this helps... Please mark me Brainliest!!!

-Kaylah

The lengths of two sides of a triangle are 12 inches and 4 inches. Which of the following dimensions is the third side of this triangle?

Answers

The triangle inequality requires the third side be in the range
.. 12 -4 ≤ third side ≤ 12 +4
.. 8 ≤ third side ≤ 16 . . . . . . . . . your answer is the number(s) in this range

_____
Some define the triangle inequality using < rather than ≤. Be careful here.

A rectangle is drawn on a coordinate plane. Three vertices of the rectangle are points L(−7,14) , M(9,14) , and N(9,−12) . Point P is the fourth vertex of the rectangle.

How long is the side of the rectangle connecting points L and P?

Enter your answer in the box.

Answers

(-7,-12) i believe this is correct

there are 6 flavors of candy in a bag strawberry lime lemon cherry or grape what is the probabilty of selecting blueberry

Answers

16.67%

This is because
1/6 = 0.166667 = 16.67%

Can someone help me find the measure of angle C?

Answers

The sum of all three angles of a triangle must equal to 180°.

6x + 2x + 2x = 180
10x = 180
x = 18

2 * 18 = 36.

Your answer should be 36°.

what is the value of x

Answers

the answer to your question is 54 because you have to bring over 2 to 3 and it would be 1x then bring over 52 and add it to 2 = 54

give your own example of irrational number explain why the number you chose is irrational

Answers

√38 is irrational.

38 is an integer that is not the square of an integer, so its square root is not a rational number.

Answer: 157.34123598...

Step-by-step explanation: To determine if the decimal 157.34123598... is rational or irrational, notice that the decimal is non-terminating. However, this decimal is also non-repeating because there is no digit of group of digits that repeat.

When we have a decimal that is both non-terminating and non-repeating, it must be an irrational number.

A chef cooked 8 kilograms of mashed potatoes for a dinner party.if the guests only ate 6/8 of the amount he cooked, how much did they eat?

Answers

they answer is they ate 6 kilos! of the 8 kilos because you have to reduce 6/8 to 3/4 and 3/4 of 8 is 6.

Hello!

Let's find what 1/8 of 8 kilograms is, because that'll help us find 6/8 of them.

Now, you can find 1/8 of 8 kilograms using many different ways, but I just prefer this one.

8 ÷ 8 = 1

Multiply this by the numerator of the fraction that represents how much that guests ate.

1 × 6 = 6

ANSWER:

The guests ate 6 kilograms of the food.

I need help with exercises 3,4, and 6 please show all work and don’t answer number 5 just tell me if it is correct

Answers

*If you need me to do #5, DM me!

3. The area of a triangle can be given by (just plug and chug as always):
[tex]A_t = \frac{1}{2} bh = \frac{1}{2}(3)(4) = 6ft^2 [/tex]
The area of the triangle is 6ft².

4. I will divide into a triangle and a rectangle (because the actual equation for the area of a pentagon requires it to be a perfect pentagon). Let's do the triangle first (height is 3 because you subtract 12 from 15):
[tex]A_t = \frac{1}{2} bh = \frac{1}{2}(8)(3) = 12m^2[/tex]
[tex]A_r = bh = 12(8) = 96m^2[/tex]
Now we just add them:
[tex]96+12 = 108m^2[/tex]

So, the area of that pentagon is 108m².

5. You are actually wrong on this one because the area of a triangle is:
[tex]A_t = \frac{1}{2}bh [/tex]
So, just halve your answer and it will be correct.

6. We can just split it into 4 triangles of equal area and then multiply the area of 1 triangle by 4 to get the total area. Let's do just that:
[tex]A_t = \frac{1}{2}bh = \frac{1}{2}(2.5)(5) = 6.25cm^2 [/tex]
Multiply by 4 to get total area:
[tex]6.25*4 = 25cm^2[/tex]

So, the area of the given rhombus is 25cm².

Rational and Irrational Numbers what is it explain

Answers

rational numbers can be expressed as fraction decimal or percentage but irrational numbers cannot be written as two integers

A rational number is part of a whole expressed as a fraction, decimal or a percentage. ... It is a numberthat cannot be written as a ratio of two integers (or cannot be expressed as a fraction). For example, the square root of 2 is an irrational number because it cannot be written as a ratio of two integers.

how would u solve this ?

Answers

Definition of negative exponent:

[tex] a^{-n} = \dfrac{1}{a^n} [/tex]

Your problem:

[tex] 10^{-8} = \dfrac{1}{10^8} = \dfrac{1}{100,000,000} = 0.00000001 [/tex]

The heart rates for puppies are normally distributed, with a mean heart rate of 180 beats
per minute (60-160 beats per minute for most adult dogs) with a standard deviation of 6
bpm (beats per minute).
a. What percentage of puppies will have heart rates of less than 187 bpm?
b. What percentage of puppies will have heart rates between 170 bpm and 187 bpm?
c. If 500 puppies are examined, how many would you expect to have a heart rate of less
than 187 bpm?
d. 10% of all puppies will have a heart rate greater than what value?

Answers

So if the standard deviation is 6 bpm, and the mean = 180, then +1s = 186, +2s = 192, -1s = 174, -2s = 168

a. The % less than 187 are all, including and less than, +1s. So 50% + 34.1% (1s) = 84.1% of the puppies

b. The % between 170 and 187 would be between -1.5s and +1s. So (34.1% × 2) + (13.6/2) = 68.2% + 6.8% = 75% of the puppies

c. Since in a) we said that the % for less than 187 bpm was 84.1%, we just take that % of 500: .841×500 = 420.5, so we'd expect between 420 and 421 puppies

d. 10% of all.puppies will have a heart rate greater than? This is asking what deviation above the mean corresponds to 10%.
This will be around those above around +1.5s, so around 188 bpm

A cylinder has a radius of 16 m and a height of 9 m. What is the approximate surface area of the cylinder? Use 3.14 for π. A. 603 m2 B. 904 m2 C. 2512 m2 D. 14,469 m2

Answers

The formula for finding the surface area of a cylinder is as follows:

A = 2[tex] \pi rh[/tex] + 2[tex] \pi r^{2} [/tex]

Since we know the values of the radius and the height (and we know Pi = 3.14), we can plug these in to our formula and solve to find the surface area:

A = 2 (3.14) (16) (9) + 2 (3.14) [tex] 16^{2} [/tex]

A = 904.32 + 1607.68

A = 2512

The approximate surface area of this cylinder is 2,512 [tex] m^{2} [/tex]

Jamal borrowed $625 from his brother 8 years ago. Jamal repaid his brother in full with $830. What simple annual interest rate did Jamel pay?

A) 4.0%

B) 4.1%

C)4.2%

D) 4.3%

Answers

Hello!
----------
The answer is B, 4.1%.
----------
WORK: 625*0.041*8=205+625=830
----------
Hope this helps and have a great day!

If Jamal borrowed $625 from his brother for 8 years and later paid $830 then he must have taken it at the simple rate of 4.1%.

What is simple rate of interest?

The interest which is not calculated on the aggregate interest or which is calculated only on principal amount is known as simple interest.

How to determine rate of interest?

The principal amount is $625 and the number of years is 8 and we have to find the rate of interest.

The amount which is ultimately paid is equal to principal and interest. So,

830=625+625*r/100*8

830-625=625*r/100*8

205=625*r/100*8

205*100/625*8=r

20500/5000=r

r=4.1%

Hence if the principal amount is $625 and the amount lastly paid is $830 then the rate of interest is 4.1% which is option B.

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Can I get help on this please

A ladder is put against a wall of 8m high. If the foot of the ladder from the wall is 6m what is the length of ladder ( draw
diagram).

Answers

Hello!

I've attached the diagram.

For this problem, since you have a right triangle, you can use the Pythagorean Theorem to fine the length of the ladder (the hypotenuse of the triangle).

Pythagorean Theorem (where c is the hypotenuse):
a² + b² = c²

The triangle's leg lengths are 8 and 6; substitute into the theorem:
8² + 6² = c²

Simplify:
64 + 36 = c²
100 = c²
10 = c

Answer:
The length of the ladder is 10 m.

◆ Pythagoras Theoram ◆

Hey !!

Check the attachment.
Hope it helps you :)

Jim is painting the inside of a circular helicopter pad. How many cans of paint would he need if the pad is 50 feet across and each can of paint covers about 200ft^2?

Please add how you got your answer and thank you very much!

Answers

STEP 1:
You need to find the area of the circular pad.

Circle Area= πr^2
we need the radius which is half of the diameter given
=π(50÷2)^2
=(3.14)(25)^2
=(3.14)(625)
=1,963.495 ft^2 total area

STEP 2:
Find how much paint is needed by dividing a can's coverage into what's needed.

=1963.495 ÷ 200
=9.817
=10 cans are needed (because you cannot buy a part of a can, you need to round up)

ANSWER: 10 cans are needed

Hope this helps! :)

Final answer:

To find out how many paint cans Jim needs, calculate the area of the circular pad using the formula πr^2 and divide by the coverage area of one can. For a 50 feet diameter pad, Jim would need approximately 10 cans of paint.

Explanation:

To calculate the number of paint cans needed, we first need to find the area of the circular helicopter pad. The diameter of the pad is given as 50 feet, so the radius is half of that, which is 25 feet. The area A of a circle is calculated using the formula A = πr^2, where r is the radius.

Substituting the radius into the formula gives:

A = π(25 feet)^2

A = 3.14159 × (25 feet) × (25 feet)

A = 3.14159 × 625 feet²

A = 1963.495 feet²

Since each can covers about 200 square feet, we divide the total area by the coverage area per can:

Number of cans = 1963.495 feet² / 200 feet²/can

Number of cans ≈ 9.82 cans

Since Jim cannot buy a fraction of a can, he would need to round up, meaning he would need 10 cans of paint to cover the helicopter pad.

13)

A coin is tossed three times, with 'heads' or 'tails' recorded after each toss. The number of possible outcomes for this experiment is

Answers

1/8 (12.5%) i think

ttt,tht,tth,htt,thh,hht,hhh,hth

8 possible outcomes

What number is 12% of 25?

Answers

Hello,

The answer is "3".

Reason:

12% of 25=3

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

12% of 25 would be 3.

Urgent help!!!
I'll choose brainlest!
Plsss

Answers

see attached picture for the answers:

Gerry folded 3 out of 8 of the pile of shirts molly folded 1out of 8 of the pile of shirts together did they fold more than half the shirts explain your answer

Answers

Gerry folded 3/8 of the pile of shirts and Molly folded 1/8 of the pile of shirts, so in total they folded 4/8 of the pile of shirts.

4 is half of 8, but it is not more than half of 8, so, together, Gerry and Molly did NOT fold more than half the shirts.

what is equivalent to 3/5-5/6=-7/30

Answers

The equation above is equivalent. 3/5-5/6 does equal -7/30 or -0.2333(repeating decimal) so the whole equation is equivalent. Hope this helps.

The roof of a castle tower is shaped like a cone. The base of the cone is 24 m across and the height is 16 m. The slant height of the roof, which is unknown, is the hypotenuse of the right triangle formed with the radius and the height of the cone.

(a) Sketch the roof of the castle tower. Label the known lengths as described and label the unknown length as x.

(b)What is the slant height of the roof?

Answers

Answer:

a) See the attachment (measurements are in meters).

b) x = √(12² + 16²) = √(144 + 256)

= √400 = 20

The slant height of the roof is 20

meters.

how do you solve x/2-x/4=6

Answers

Hi there!

[tex] \frac{x}{2} - \frac{x}{4} = 6[/tex]
To get rid of the fractions you have to multiply by 4. Multiplying by 2 does not work, because of we do that, we can't get rid of x / 4. Hence, multiply the entire function by 4

[tex]4 \times \frac{x}{2} - 4 \times \frac{x}{4} = 6 \times 4[/tex]
[tex]2x - x = 24[/tex]
[tex]x = 24[/tex]

Therefore, the solution to this equation is x = 24. We've found this solution by multiplying the entire function by 4 and then we've collected terms.

There is a one time fee of $27 to join the gym the monthly cost of using the gym is $18 write any Quezon for the relationship that gives the total cost Y in dollars of joining the gym and using it for X months

Answers

y=18x+27

y represent the total cost
18 represents the cost per month
x represent the number of months
27 is the initial fee

Final answer:

The total cost Y in dollars of joining the gym and using it for X months can be determined using the linear equation Y = 27 + 18X, where 27 is the one-time joining fee, and 18X is the cost of using the gym for X months.

Explanation:

To determine the total cost Y in dollars of joining the gym and using it for X months, you would need to consider both the one-time joining fee and the recurring monthly cost. The one-time joining fee is $27 and the monthly cost is $18.

So, if you are going to gym for X months, the total cost will be the sum of the initial joining fee and the monthly cost times the number of months you are going. This relationship can be represented by a linear equation:Y = 27 + 18X.

In this equation, Y represents the total cost of joining and using the gym for X months. The 27 is the one-time joining fee and the 18X represents the total cost of the monthly fees for X months.

Learn more about Linear equations here:

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