Using proportions, it is found that it will take 55.6 hours to fill the poll.
What is a proportion?A proportion is a fraction of total amount, and the measures are related using a rule of three.
In this problem, in one hour, 630 gallons of water are delivered. How many hours are going to take to deliver 3.5 x 10⁴ gallons = 35000 gallons?
The rule of three is:
1 hour - 630 gallons
x hours - 35000 gallons
Applying cross multiplication:
[tex]630x = 35000[/tex]
[tex]x = \frac{35000}{630}[/tex]
[tex]x = 55.5[/tex]
It will take 55.6 hours to fill the poll.
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The hours it would take to fill the swimming pool is 55.6 hours.
What does division mean?
Division is the process of dividing a number into equal parts using another number. The sign used to denote division is ÷.
How many hours would it take to fill the swimming pool?Number of hours = capacity of the swimming pool / capacity of the hose
3.5 x 10^4 / 630
35,000 / 650 = 55.6 hours
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The nth term of a different sequence is 2n2 - 4
Find the 3rd term of this sequence.
Give the system of inequalities x-2y=15. 2x+4y=-18 what are x and y
Answer:
For x-2y=15, it's x= 15 + 2y. For 2x+4y=-18, it's x= -9-2y.
Step-by-step explanation:
Lillian and Isabella went shopping for school supplies. Lillian found her favorite notebook on sale so she bought three of the exact same notebook. Isabella also wanted a notebook. She bought one of the same notebooks that Lillian bought. Both girls started shopping with the same amount of money. If Lillian spent all of her money and Isabella had $5 left, how much money did each girl have when she arrived at the store? please show your work/steps
Answer:
Each girl had $7.50 when they arrived.
Step-by-step explanation:
We have to figure out what c (cost of each notebook) is first before we find out how much money each girl had. We also know they have the same money, so both sides are connected. The equation should be: 3x = x + 5.
3x = x + 5
First, subtract x from both sides. This cancels out the addition by x.
3x - x = 5
Now, subtract x from 3x. This equals 2x.
2x = 5
To cancel out the multiplication by 2, divide both sides by 2.
x = 5/2
Lastly, divide 5 by 2 to get 2.5.
x = 2.5
Substitute x for 2.5 in the earlier equation (3x = x + 5)
3(2.5) = 2.5 + 5
First, multiply 3 by 2.5 to get 7.5.
7.5 = 2.5 + 5
Add 2.5 to 5 to get 7.5.
7.5 = 7.5
Both sides are equal so we have our answer. So, both girls had $7.50 when they arrived at the store.
Selena earned $4,283.30 last month. She used of her earnings to pay her bills. With the remaining money, she
bought two shirts for $19.99 each and a pair of sunglasses for $12.99. How much money does Selena have left from last
month's earnings?
Answer:
$4,256.31
Step-by-step explanation:
4,283.30 - 2(19.99) + 12.99 = x
Initial value (last month's earnings) - the two shirts, which were both 19.99 and the pair of sunglasses, which were 12.99.
4256.31 = x
Find the distance between the two points in simplest radical form.
(0,8) and (4,0)
A radioactive substance decays at a rate of 3.4% per day. If it starts at 200 grams, how
many days will it take for the substance to decay to less than 150 grams?
Answer: 9
Step-by-step explanation:
Since the percent is decaying, you subtract 3.4 from 100, which gets you 96.6
200(0.966)^9 gets you 146.5 which is less than 150
Kate had $140. She spent
2/5 of it. What amount did she spend?
The amount Kate spent $ 56 of the $ 140 she had.
To find out how much Kate spent, we need to calculate 2 / 5 of the total amount she had, which was $ 140.By multiplying fractions we mean the product of a fraction with another number or a fraction. The product of such multiplication could be a fraction or a whole.
To do this, we can multiply $ 140 by the fraction 2 / 5:
= $ 140 * 2 / 5
= $280 / 5
= $ 56
Therefore, Kate spent $ 56 of the $ 140 she had.
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3*f(-4)-3*g(-2)=???
Khan Academy
The value of the given function is 6
Functions and valuesGiven the following expression 3*f(-4)-3*g(-2), to find the values, we can assume that;
f(-4) = 10g(-2) = 8Substitute the given parameters into the expression to have:
3*f(-4)-3*g(-2)
= 3((10) - 3(8)
= 30 - 24
= 6
Hence the value of the given function is 6
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Answer:
khan academy the answer is -27
GIVING ALOT OF BRAINS FAST!
Brendon is building a clubhouse where 11 inch on the plans is equivalent to 88 inches on the actual clubhouse.
If the clubhouse is to be 160 inches wide, what will the width be on the plans?
Round answer to the nearest hundredth if necessary.
20
160/8=20
88/8=11
i hope this one helps !!
Answer:
20,020 in. on the plans
Step-by-step explanation:
To get from 11 in. to 88 in. (from plans to real life), you multiply by 8.
Therefore, to get from 160,160 to ?? (from real-life to plans), you would divide by 8.
160,160 / 8 = 20,020
To check, you can multiply 20,020 by 8 to go from plans to real-life measurements; 20,020 • 8 = 160,160)
A poker hand consists of 5 cards. If the cards have distinct consecutive values and are not all of the same suit, we say that the hand is a straight. For instance, a hand consisting of the five of spades, six of spades, seven of spades, eight of spades, and nine of hearts is a straight. What is the probability that one is dealt a straight
Answer:
The answer is blah blah blah blah
What is the value of the constant in the equation that relates the height and
width of this rectangle?
Answer:
10 over=5
i asked this quetion
Answer:50
Step-by-step explanation:
Find the number that makes the ratio equivalent to 11:1.
?:4
Answer:
The unknown is 44
Step-by-step explanation:
We need to solve for x in the proportion given by :
11 / 1 = x / 4
multiply both sides by 4 to isolate x
11 * 4 / 1 = x
x = 44
Evaluate m + 7.5 when m = 8.6
Answer:
16.1
Step-by-step explanation:
Can someone help me with this?
Answer:
B
Step-by-step explanation:
Water's strong hydrogen bonds result in which physical properties? Check all that apply.
A. high boiling point
B. low boiling point
C. high specific heat
D. low specific heat
E. density of ice being less than that of liquid water
F. density of ice being greater than that of liquid water
Answer:
1,3,5
Step-by-step explanation:
Got it right
A 13.5 m fire truck ladder is leaning against a wall.
Find the distance the ladder goes up the wall if it
makes an angle of 43.8° with the ground.
To solve this problem you must apply the proccedure shown below:
1. You have the the 13.5-m fire truck ladder is leaning against a wall and the ladder makes an angle of 39 degrees 45 ' with the horizontal.
2. Then you have:
39 degrees 45'=39.75°
Sin(39.75°)=d/13.5
d=13.5xSin(39.75°)
d=8.63
There are 120 people in a sport centre. 78 people use the gym. 46 people use the swimming pool. 45 people use the track. 21 people use the gym and the pool. 16 people use the pool and the track. 24 people use the gym and the track. 9 people use all three facilities. A person is selected at random. What is the probability that this person doesn't use any facility?
A box of cereal states that there are 87 calories in a 3 4-cup serving. What is the unit rate for calories per cup? How many calories are there in 3 cups of the cereal?
Answer:
3 cups = 348 calories
Step-by-step explanation:
Step 1
Let the calories in one cup be represented as C
Therefore
3/4 x C = 87 calories
C = 87 X 4 / 3 = 116
unit rate is 116 calories per cup.
Step 2- Solving the number of calories in 2 cups
1 cup serving = 116 calories
2 cups servings = 116 x 2= 232 calories
116 x 3 = 348 calories
Credit: tutorAnne
I am going to pay $44 for a pack of awesome color pencils. The tax is 6%. How much is the taxes going to be?
Answer:
2.64 sales tax
Step-by-step explanation:
hope i helped you
What are the first three terms of a geometric sequence in which a5= 25 and the common ratio is 5?
Answer:
1/25, 1/5, 1
Step-by-step explanation:
Answer:
A on edgeinuity
Step-by-step explanation:
IMAGINE GETTING A DIPLOMA IN THREE DAYS!!!
PLS I NEED HELP! Which graph grows the fastest as x gets larger?
A. y = 3^x
B. y = 5^x
C. y = 4^x
D. y = 2^x
Answer:
y=5^x
Step-by-step explanation:
5 to whatever power will always be larger than 4, 3, or 2.
For example:
3 squared = 9
5 squared = 25
4 squared = 16
2 squared = 4
25 is greater than 9, 16, and 4
An employee at a company that assembles chandeliers is packing boxes for shipping. In the first box, he packed 5 small chandeliers and 3 large chandeliers, which weighed a total of 308 pounds. In the second box, he packed 5 small chandeliers and 5 large chandeliers, which had a weight of 430 pounds. Assuming the weight of the box isn't included in the shipping weight, how much does each size of chandelier weigh?
Subtracting eq(2) from eq(1)
[tex]\\ \tt\hookrightarrow -2y=-122[/tex]
[tex]\\ \tt\hookrightarrow y=61[/tex]
Put in eq(1)
[tex]\\ \tt\hookrightarrow 5x+3(61)=308[/tex]
[tex]\\ \tt\hookrightarrow 5x+183=308[/tex]
[tex]\\ \tt\hookrightarrow 5x=308-183[/tex]
[tex]\\ \tt\hookrightarrow 5x=125[/tex]
[tex]\\ \tt\hookrightarrow x=25[/tex]
2) Simplify: 2a + 3b - 4a + 5c - 2b
Answer:
-2a+b+5c
Step-by-step explanation:
If x=5 then what is 3x+(2-4x). P.S. standard form
Answer:
-3
Step-by-step explanation:
3x+(2-4x)
3*5+(2-4*5)
3*5+(2-20)
3*5+(-18)
3*5-18
15-18
-3
hello, I hope your having a nice day! (if not then there will be other sunny days)
but I need someone who could help me solve this problem. :)
Answer:
-6x^4y^4z^8
Step-by-step explanation:
describe the transformations needed to translate the graph y=1/x to the graph of y=1/x+3 -4
i cant describe but i put y=1/x+3 -4 on the graph hope this helps
Answer:
to the left 3 and down 4
Step-by-step explanation:
2. Find the missing variable
(2x + 5)
(x + 9)
(3x - 2)
Find the equation of a line which has:
slope of -2 and
crosses the y-axis at 5
in slope-intercept form
Answer:
y = -2x + 5
Step-by-step explanation:
Recall that slope-intercept form is y = mx + b where m is the slope and b is the y intercept
In this case our slope is m = -2
and, line crosses y-axis at 5 which is b = 5
thus, y = -2x + 5
If there are two boys to every three girls, what percent of the class is girls?
What is the value of x in 145.95-2x=-4.05?
