Tap X can fill a bath in 12 minutes.
Tap Y can fill a bath in 6 minutes.
How long will it take to fill the bath with both taps running at the same time?

Answers

Answer 1
Answer:  4 minutes

============================================================

Explanation:

Let's say that this tub is 72 gallons. I picked this number since 12*6 = 72. You can pick any number you want, but I picked this number so we end up with whole number results as shown below.

Tap X can fill the 72 gallon tub in 12 minutes. Its rate is 72/12 = 6 gallons per minute. Tap Y has a rate of 12 gallons per minute because 72/6 = 12.

Add the two unit rates: 6+12 = 18

If the two taps are opened at the same time, then they will work at a rate of 18 gallons per minute.

Let x be the number of minutes. The expression 18x represents how much of the tub is full after x minutes. Set this equal to the 72 we started with earlier and solve for x.

18x = 72

x = 72/18

x = 4

It will take 4 minutes if both taps are running at the same time.


Related Questions

For each team, find the unit rate games per loss.

Answers

Answer:

Ой ну не знаю очень сложный вопрос

A pole that is 2.6 m tall casts a shadow that is 1.26 m long. At the same time, a nearby tower casts a shadow that is 37.25 m long. How tall is the tower?​

Answers

Answer:

Step-by-step explanation:

The ratio of height to shadow length will be proportional.

2.6 / 1.26 = h / 37.25

h = 37.25(2.6)/1.26 = 76.865079...

h = 76.9 m

can someone help me with this it’s due!!!

Answers

Answer:

10 feet tall

Step-by-step explanation:

(Triangle problem was answered in a previous question)

So like before, we have a ratio: 1.5inches:2.5feet

We have a starting value as well: 6 inches

All we have to do is convert from inches to feet (not with a real life equation, but with the given equation)

To begin, dvide 6 by 1.5

6inches/1.5inches = 4 (The units canceled out during division)

Not multiply by the ratio:

4 * 2.5feet = 10 feet (It takes the units in feet)

Therefore, the tree is actually 10 feet tall.

Please answer this hurry!!!!!

Answers

The answer is d, y = -x + 5.

Find the missing value so that the line passing through the points has the given slope.

(7,1) and (x,4); m = 3/4

Answers

Answer:

11

Step-by-step explanation:

4-1=3/11-7=4

each big square below represents one whole. what percent is represented by the shaded area?

Answers

Answer:

43%

Step-by-step explanation:

mark me as brainliest please

A computer is on sale for 45% off the original price of $879. If you use the store credit card, you can receive an additional 10% off of the sale price.
What is the final price of the computer if you use the store credit card?

Answers

Answer:

$395.55

Step-by-step explanation:

45%+10%=55%

100%-55%=45%

Since 45% is 45/100 in fractions, use that x 879 for the final price.

45/100x879=395.55

Hope this helps! Thanks.

Answer:

435.11

Step-by-step explanation:

First find the sale price of the computer. Then take the additional 10% off of the sale price.

Please do 5 and 6!!!!

Answers

Answer:

5) y = 6x - 3

6) y = 2

Step-by-step explanation:

If we’re trying to write a line in slope-intercept form, we must need the slope and the y-intercept.

m = 6 and b = -3

What the question is trying to say is that 6 is the slope and -3 is the y-intercept. Thus m = slope and b = y-intercept.

And the equation of the line in slope-intercept form is y = 6x - 3

but what if the slope is 0 like in question 6? Therefore, we cancel the slope and x-intercept DOES NOT appear. so the equation of the line would be y = 2

A food scientist is developing a new recipe. He needs it to have between 3 and 5 teaspoons of sugar per serving and between 3 and 6 grams of fiber. Each teaspoon of sugar has 5 carbohydrates. Each gram of fiber counts as a carbohydrate when counting total carbohydrates. If the recipe already has 10 carbohydrates per serving from other sources, create a linear programming feasible region to minimize the total carbohydrates in the recipes nutrition profile.​

Answers

Answer:

aaaaaaaa nad its by

Step-by-step explanation:

Edward opens a new account and makes a deposit of $150. He then makes withdrawals of $10, $20 and $25, before depositing $30 more. What is the new balance?​

Answers

The new balance is $125
Explanation)
150-10-20-25 = 95
95 + 30 = 125
150 - 10 - 20 - 25 + 30 = 125
the new balance is $125 :)

If a unicorn went 200 miles how many feet did it take to get home?

Answers

Answer:1 mile traveled at the rate of 200 miles in 60 minutes. ... Therefore, it would take 18 seconds to travel 1 mile going at a speed of 200 miles per hour!

Step-by-step explanation:

Find the value of (64)1/2x(125)1/3

Answers

Answer= 4000/3

Step by step explanation

64(
1
2
)(125)(
1
3
)
=(32)(125)(
1
3
)
=4000(
1
3
)
=
4000
3

Three cubes with volumes 8 cm3, 27 cm3 and 64 cm3 are glued together to form a solid figure. What the least possible surface area (cm2) of the solid figure?

Answers

Answer:

148 cm²

Step-by-step explanation:

The cubes have sides of 2 cm, 3 cm and 4 cm respectively.

Their face area of the cubes is 4 cm², 9 cm² and 16 cm² respectively.

Total surface area of each cube is:

Side 2 cm - 6*(2*2) = 24 cm², Side 3 cm - 6*(3*3) = 54 cm², Side 4 cm - 6*(4*4) = 96 cm².

Total of three cubes:

24 + 54 + 96 = 174 cm²

When you glue the cubes together you lose an area equal to double face area of the smaller cube from the total surface area.

Possible decrease, provided full faces area covered:

2 cm cube with the other two ⇒ loss of four 2x2 faces 4*4 = 16 cm²3 cm or 4 cm cube with the other two ⇒ loss of two 3x3 and two 2x2 faces 2(9+4) = 26 cm²

The least possible surface area is:

174 - 26 = 148 cm²

☆Answer :

3Cubes :

Volume = 8cm³ ==> r = 2cmVolume = 27cm³ => r = 3cmVolume = 64cm³ => r = 4cm

Soo :

Volume - 1 = 6 × 2² = 6 × 4 = 24cm²

Volume - 2 = 6 × 3² = 6 × 9 = 54cm²

Volume - 3 = 6 × 4² = 6 × 16 = 96cm²

Totals = 24 + 54 + 96 = 174cm²

[tex] \: [/tex]

surface area = 174 - 2(3² + 2²)

surface area = 174 - 2(9 + 4)

surface area = 174 - 2(13)

surface area = 174 - 26

serface area = 148cm²

[tex] \: [/tex]

-HayabusaBrainly

find the approximate value of 2.49 and 2.98 when they are cubed​

Answers

[tex]\huge\fbox\orange{S} \huge\fbox\red{C}\huge\fbox\blue{R}\huge\fbox\green{O}\huge\fbox\gray{L}\huge\fbox\purple{L>}[/tex]

[tex]\huge\underline\mathtt\colorbox{cyan}{2.49 cubed=15.438249}[/tex]

[tex]\huge\underline\mathtt\colorbox{red}{2.98 cubed=26.463592}[/tex]

A.4/10
B.1/20
C.3/40
D.2/20

Answers

Answer:

it's C. 3/40

Step-by-step explanation:

ghjfrukkbf

Answer: 90,000x6,899

1: Don't Che.at
2:Have a wonderful day!!!!!!!
XD

Answers

Answer:

The answer is 620,910,000 I worked it out By the way:)

Answer:

620,910,000 - Number form

620.9M+ - Short form

Six hundred twenty million, nine hundred, and ten thousand - Word form

Step-by-step explanation:

1. If you want me to go in full detail, I'll just say that I used a bit of internet search for the word form because I'm dyslexic, but yet I'm here in brainly answering other people's questions.

2. Have a wonderful day to you too!!

Hope this helped! :^)

- ✨7272033Alt✨

jerry runs at a speed of 9 feet per second. Write his speed as a rate

Answers

Answer:

is this what your looking for?

If f ( x ) is a linear function, f ( − 1 ) = 2 , and f ( 5 ) = − 5 , find an equation for f ( x ) . f ( x ) =__
show your work!

Answers

Step-by-step explanation:

Let's first find the slope

(-5-2)/(5--1) = -7/6

the equation should be

[tex]y = \frac{ - 7}{6} x + c[/tex]

To find c, we replace X with -1 and Y with 2

c= 5/6

So the equation is

[tex]y = \frac{ - 7}{6} x + \frac{5}{6} [/tex]

And if you multiply everything by 6 you get

6y = -7x +5


The measure of angle STV is 117°. What is the measure of angle UTV

Answers

Answer:

117 - 86 = 31°

The answe is 31

please help me with this sum​

Answers

Answer:

lol no34532534

Step-by-step explanation:

1/5 x 7/8 in simplest form s

Answers

Answer:

[tex]\huge\boxed{\sf \frac{7}{40} }[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{1}{5} \times \frac{7}{8} \\\\= \frac{1 \times 7}{5 \times 8} \\\\= \frac{7}{40} \\\\Hence, this \ is \ the \ simplest \ form.\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Answer:

7/40

Step-by-step explanation:

7 cant go into 40 so it just stays as 7/40

what is the greatest common factor of 42, 12, and 6?​

Answers

Answer:

The greatest common factor is surprisingly 6.

All three numbers can be divided by 6 and it is the highest value that can be taken from all three numbers.

Step-by-step explanation:

Hope this helps.

<3

Answer:

the GCF of those numbers is 6.

Step-by-step explanation:

One way to solve this is to list the factors of them, then find the greatest one that they share.

42: 1, 2, 3, 6, 7, 14, 21, 42

12: 1, 2, 3, 4, 6, 12

6: 1, 2, 3, 6

If we look at them, notice that six is in all of them. All of them have factors of six. Can we go any higher than that? No because six is the greatest factor of six, so we can't go any higher and still have all of them share a GCF. So your answer is 6.

Please help meeeeeeeeeeeeee

Answers

Answer:

⅓,⁵/12,⁵/24,⁷/48

You can think about them like if they are more or less than the half of the fraction

In right triangle PQR, PR = 17, RQ = 15,
= 15,
and PQ = 8. What is tan P?

Answers

Answer:

[tex]\sf\bold \longmapsto \: Tan \: P = \frac{15}{8} [/tex]

Step-by-step explanation:

We know,The formula of Tan ∅ is–

[tex]\sf\longmapsto \: \tan = \frac{opposite}{adjacent} [/tex]

Therefore,Tan P will be Option D

[tex]\sf\longmapsto \: \frac{15}{8} [/tex]

Kevin picked 3/4 of a pound of strawberries. That afternoon, his sister ate 2/3 of the strawberries Kevin picked. How many pounds of strawberries did Kevin's sister eat? Use a visual model (such a number line, area diagram or pattern blocks) to find the answer to the problem. State the answer and explain how you determined the answer from your model.

Answers

Answer:

1/12 pounds of strawbebbies left.

Step-by-step explanation:

The ratio of the side length of square A to the length of Square B is 4:9 The side length of square A is 12 yards. What is the perimeter of Square B

Answers

Step-by-step explanation:

side A / side B = 4/9

side A = 12 yards

=>

12 / side B = 4/9

12 = side B × 4/9

9×12 = side B × 4

side B = 9×12/4 = 9×3 = 27 yards

perimeter of B is 4×side B = 4×27 = 108 yards

please help me if you can. Sorry if it’s blurry

Answers

Step-by-step explanation:

oh, come on, just multiplication.

7.5×10⁴ years is 7.5×10000 =75000 years.

0.005 inches per year for 75000 years means

0.005 × 75000 = 5 × 75 = 375 inches.

Please help me thank you!!

Answers

Answer:

what the hell

Step-by-step explanation:

Calculate the state income tax per year in PA on a salary of $55,000 *
1 point
$1688.50
$200.00
$700.00

Answers

Answer:

If you make $55,000 a year living in the region of Pennsylvania, USA, you will be taxed $11,017. That means that your net pay will be $43,984 per year, or $3,665 per month. Your average tax rate is 20.0% and your marginal tax rate is 32.8%.

Step-by-step explanation:

Prove that: (sin x - 2 sin³ x)/(2 cos³ x - cos x) = tan x​

Answers

[tex]\large\underline{\sf{Solution-}}[/tex]

We have to prove that:

[tex]\rm\longmapsto \dfrac{ \sin(x) - 2 \sin^{3} (x) }{2 \cos^{3} (x) - \cos(x) } = \tan(x) [/tex]

Taking LHS, we get:

[tex]\rm = \dfrac{ \sin(x) - 2 \sin^{3} (x) }{2 \cos^{3} (x) - \cos(x) }[/tex]

We can take sin(x) as common from numerator part. We get:

[tex]\rm = \dfrac{ \sin(x) \{1- 2 \sin^{2} (x) \}}{2 \cos^{3} (x) - \cos(x) }[/tex]

Similarly, we can take cos(x) as common from first two terms. We get:

[tex]\rm = \dfrac{ \sin(x) \{1- 2 \sin^{2} (x) \}}{ \cos(x) \{ 2 \cos^{2} (x) -1\}}[/tex]

[tex]\rm = \dfrac{ \sin(x) }{ \cos(x) } \cdot \dfrac{\{1- 2 \sin^{2} (x) \}}{\{ 2 \cos^{2} (x) -1\}}[/tex]

As we know that:

[tex]\rm\longmapsto \dfrac{ \sin(x) }{ \cos(x) } = \tan(x) [/tex]

We get:

[tex]\rm = \tan(x) \cdot \dfrac{\{1- 2 \sin^{2} (x) \}}{\{ 2 \cos^{2} (x) -1\}}[/tex]

Now, we will expand the terms in fraction:

[tex]\rm = \tan(x) \cdot \dfrac{\{1- \sin^{2} (x) - { \sin }^{2}(x) \}}{\{\cos^{2} (x) + \cos^{x}(x) -1\}}[/tex]

As we know that:

[tex]\rm \longmapsto \sin^{2}(x)+cos^{2}(x)=1[/tex]

[tex]\rm \longmapsto\cos^{2}(x)=1-sin^{2}(x)[/tex]

[tex]\rm \longmapsto\cos^{2}(x) - 1=-sin^{2}(x)[/tex]

Now substitute the values in the expression, we get:

[tex]\rm = \tan(x)\cdot \dfrac{ \cos^{2} (x)-{ \sin }^{2}(x)}{\cos^{2} (x) - \sin^{2} (x) }[/tex]

[tex]\rm = \tan(x)\cdot1[/tex]

[tex]\rm = \tan(x)[/tex]

Here, we notice that LHS = RHS

Proved.

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