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Explanation:
Let's say the tub is 30 gallons. I'm picking this number because it's the LCM of 10 and 15. Picking the LCM means that later division operations result in a whole number.
The hot tap takes 10 minutes to fill the tub. Its rate is 30/10 = 3 gallons per minute.
Rate = (amount done)/(time)
The cold tap works at a rate of 30/15 = 2 gallons per minute.
When both taps are running at the same time, they combine to a total rate of 3+2 = 5 gallons per minute. Therefore, it will take 30/5 = 6 minutes if both taps are opened.
Time = (amount done)/(rate)
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Another approach:
The hot water tap takes 10 minutes to do 1 job. That "1 job" refers to "fill the bathtub". The unit rate here is 1/10 of a job per minute.
Meanwhile, the cold tap has a unit rate of 1/15 of a job per minute.
The combined rate is 1/10 + 1/15 = 3/30+2/30 = 5/30 = 1/6 of a job per minute.
x = number of minutes it takes to fill the bathtub if both taps are going at once.
We can say:
(unit rate)*(time) = amount done
(1/6 of a job per min)*(x minutes) = 1 job
(1/6)x = 1
x = 6 minutes is the final answer
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Another approach:
The template for problems like this is:
1/A + 1/B = 1/C
where
A = amount of time for the hot tap water (working alone)B = amount of time for the cold tap water (working alone)C = amount of time if the two taps work togetherWe end up with the equation
1/10 + 1/15 = 1/x
This can be rearranged into
(1/10+1/15)x = 1
and also rearrange into
(1/6)x = 1
Follow the steps mentioned earlier to end up with 6 minutes as the final answer
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Which expression is equivalent to 4−a−a−a?'
4−3a^3, a, 4−3a, or 1−a^3
Answer: 4-3a
Step-by-step explanation:
please help, i only need help on the surface area
Answer: 376
Step-by-step explanation:
Surface Area = 2×(2×14 + 2×10 + 14×10) = 376 feet
The map shows four platforms of a zip line course. The actual distance from Platform A to Platform B is 20 yd, and from Platform B to Platform C is 60 yd. What factor can you multiply each length on the map by to get the actual distance?
Answer:
20
Step-by-step explanation:
1 x 20 = 20
3 x 20 = 60
Answer:
First answer: 20
Second answer: 100 yd
Step-by-step explanation:
Hope this helps
Write an equation that you can use to find the value of x. Perimeter of triangle: 16 in. An equation that you can use is 16=
Answer:
3x =16 is the required equation.
Step-by-step explanation:
Please help I will mark the best one brainliest
Answer:
Step-by-step explanation:
bro z is = to -6
Z=-6
so 5(-6+6)=0 i think bro send me a comment if its wrong
Find the Annual Percentage Rate (APR)
I = 562.50$ P = 1500$ T = 5 years
Answer: The annual interest rate is 0.075 (look at the image for the answer)
Step-by-step explanation:
The tree grew from 32 ft to 45 ft in the span of ten years.
Find the percent change to the nearest whole percent
Answer:
40.63% to the nearest whole percent is 41
Step-by-step explanation:
(45 - 32) / 32) * 100 = 40.63 %
To round 40.63 to the nearest whole number consider the tenths’ value of 40.63, which is 6 and equal to or more than 5. Therefore, we have to round up: the whole number part of 40.63, 40, increases by 1 to 41, and the decimal point and all digits (.63) are removed...
40.63 rounded to the nearest whole number = 41
Question 14
Part A and Part B please help.
Answer: A: Yes
B: 12 Customers
Step-by-step explanation:
Part A: Yes since each time it can go up by 1 for customers and 48 for towers each time
Part B: 1 customer (thousands) is equal to 48 towers
so if there are 576 towers let's divide: 576/48 = 12
There will be 12 customers (thousands) for 575 towers
Evaluate the left hand side to find the value of a in the equation in simplest form.
Answer:
give some more information about the question
I NEED help with #2 cuz i can't understand
Answer:
Where is the question
Step-by-step explanation:
PLEASE HELP ILL GIVE 5 STARS TO THE PERSON WHO SAYS THE CORRECT ANSWER
PLEASE GIVE BRAINLIEST
thank you and have a good day :)
Answer:
3q^2
Step-by-step explanation:
Simplify the numerator and then divide it by the denominator
mathhelp i added a pin below
Answer:
2/12 of a mile
Step-by-step explanation:
Use the Distributive Property to simplify the expression.
4(x + 6)
Answer:
4x + 24
Step-by-step explanation:
4(x + 6)
4(x) + 4(6)
4x + 24
Answer:
4x+24=
Step-by-step explanation:
4x=x or 4x
4x6=24
A person can pay $6 for a membership to the art museum and then go to the museum for just $1 per visit. What is the maximum number of the art museum can make for a total cost of $18?
Answer: 12
Step-by-step explanation:
t= # of visits to the museum
6 + 1t = 18
t = 12
20 points mathamatics!
Answer: 160
Step-by-step explanation:
Answer: 160m3
Step-by-step explanation:
For the first prism, you find the volume by multiplying the length of the prism by the width of the prism by the height of the prism.
V = w h l = 8m x 3m x 2m = 48m3
For the second prism, you do the same thing you did to the first one.
V = w h l = 4m x 4m x 7m = 112m3
Lastly, you add the volume of both prisms to get your answer.
48m3 + 112m3 = 160m3
P.S. Can you add me for brainliest
Help Please!
Question: select all the equations that can be represented by a straight line when graphed on the coordinate plane
B; u=7t³ -10
C: u=2t-5
D:u=8t-2
E u= 1/t +3
F: - 2t+ 3u=6
G: u=-4( t + 3)
help please thanks for being kind and helpful if you do!
PLEASEEE HELPPP ILL GIVE 5 STARS
Answer:
[tex](7a \cdot 5b) \div 6c \cdot 2d[/tex]
Step-by-step explanation:
If there is both multiplication and division in an expression and no parentheses, you start solving from left to right. Since in the expression [tex]7a \cdot 5b \div 6c \cdot 2d[/tex] you would start by solving [tex]7a \cdot 5b[/tex], (because it's at the leftmost part of the expression) it won't matter whether you put parentheses around [tex]7a \cdot 5b[/tex] or not. Therefore, the expression [tex](7a \cdot 5b) \div 6c \cdot 2d[/tex] is equivalent to [tex]7a \cdot 6b \div 6c \cdot 2d[/tex].
What is the area of this polygon?
Answer:
258 ft
Step-by-step explanation:
seperate the polygon into two boxes that way u have one big box that is 21 ft in width and 8 ft in height. Then multiply 21*8 to find the area of the box which is 168.
for the other box you can find the height by subtracting 18 ft and 8 ft from the first box which gives a height of 10 ft. To find the wisth you have to subtract 21-12 which is 9. Now you can multiply 10*9=90
Add the two boxes together:
90+168=258
p-6=2 UHMMMM HELP PLS...
If rectangle ABCD is transformed to create rectangle A’B’C’D’, and the rule used was (x, y) --> (x, -y), which transformation has occurred?
A) Reflection across the y-axis
B) Reflection across the x-axis
C) Rotation of 90° around the origin
D) Translation
Answer: B) Reflection across the x-axis
Step-by-step explanation:
List the sample space of a fair, 11-sided number cube rolled while playing a board game.
S = {1,11}
S = {1}
S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
S = {1, 2, 3 ,4, 5, 6, 7, 8, 9, 10, 11}
PLS HELPP QUICK!!!!
On average, Emily drinks 1/6 of an 8-ounce glass of water in 1/20 of an hour. How many glasses of water does she drink in one hour?
On the double number line below, fill in the given values, then use multiplication to find the missing value. Enter your answers as fractions, mixed numbers, or whole numbers.
Answer: 3 1/3
Step-by-step explanation:
glasses/hour = ((1/6) glasses) / ((1/20) hour)
= ((1/6) glasses) * (20/hour)
=20 glasses / 6 hour
=10 glasses / 3 hour
= 3 1/3 glasses/hour
please help (fractions)
Answer: 2/15 and 9/10
Step-by-step explanation:
Set up cross-multiplication.
If Michelle reads 1/3 book in 2 1/2 hours, she reads X in 1 hour.
1/3 2 1/2
x 1
1/3 = 2 1/2 x
divide by 2 1/2
1/3 divided by 2 1/2 = convert 2 and a half to 5/2
1/3 divided by 5/2 - keep, change, flip. (your teacher should have covered a method like that)
1/3 times 2/5 is 2/15.
For question 2, lets do the same thing.
3/5 times 2/3 equals x times 1
3/5 times 1 is 3/5
2/3 times x is 2/3x
(this looks better on paper)
3/5=2/3x
divide by 2/3
answer - he will finish 9/10 assignment in the hour
if the equation is 9=3(x+2), what does x equal?
Answer:
1
Step-by-step explanation:
To solve for x, we can isolate x on one side of the equation by undoing the operation of the expression inside the parentheses. To do this, we need to subtract 2 from both sides of the equation:
9 = 3(x + 2)
9 = 3x + 6
3 = 3x
Finally, we divide both sides by 3 to obtain:
x = 1
So, the value of x is 1.
please help me thanks
Answer:
21
Step-by-step explanation:
The area of a triangle is (1/2) * base * height. In this case, the base is the distance between (-5, -2) and (1, -2), meaning it's 6 units. The height is the distance from (-3, 5) to the line y = -2, so the height is 7 units. So, the area is (1/2) * 6 * 7 = 21 square units
Legit SOS I will mark the best one brainliest
Answer:There are 14 boys and 8 girls
Step-by-step explanation:
if we symbolize girls as g boys will be g+6;
then if boy/girl=7/4
the[tex]\frac{g+6}{g} =\frac{7}{4} \\4*(g+6)=7g\\4g+24=7g\\3g=24\\g=8\\boys=g+6=14[/tex]n
Given the equation 6y = 336, solve for y.
342
330
56
6
To get y by itself, you have to divide 6 on both sides.
6y/6= 336/6
y=56
In the morning, the temperature was
–
10°C. By the afternoon, it had risen to
–
2°C. What was the change in temperature from the morning to the afternoon?
Answer:
Change in temperature is +8° C
Step-by-step explanation:
Change in temperature = Final temperature - Initial temperature:
=ΔT = [tex]F_{T} - I_{T}[/tex]
= (- 2° C)- (- 10° C)
= [tex]- 2 + 10[/tex]
∴ Change in temperature = + 8° C
