The rate of flow in cups per year is 3645 cups per year.
How to determine the rate of flow in cups per yearTo convert the rate of flow from quarts per day to cups per year, we first need to convert quarts to cups and days to years.
1 quart is equal to 4 cups,
So 5 quarts is equal to 5 x 4 = 20 cups.
1 year is equal to 365 days, so
2 days is equal to 2/365 = 1/182.5 years.
So the rate of flow in cups per year is 20 cups / (1/182.5 years) = 3645 cups per year.
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They need to raise $1,680 for travel expenses. Each chocolate bar is being sold for $2, and each box contains 30 chocolate bars. There are seven scholars on the team and they agree to each sell the same number of boxes. How many boxes will each scholar have to sell in order to raise enough money to cover the team's travel expenses?
Answer:
Each scholar have to sell 4 boxes in order to raise enough money to cover the team's travel expenses
Step-by-step explanation:
Let x denotes number of boxes to be sold by each scholar to raise enough money to cover the team's travel expenses.
Number of scholars = 7
Total number of boxes [tex]=7x[/tex]
Total number of chocolate bars [tex]=(7x)(30)=210x[/tex]
Price of 1 chocolate bar = $2
Price of [tex]210x[/tex] chocolate bars [tex]=210x(2)=\$420x[/tex]
Also,
Total amount to be raised for travel expenses = $1680
So,
[tex]1680=420x\\x=\frac{1680}{420}\\ x=4[/tex]
Therefore,
each scholar have to sell 4 boxes in order to raise enough money to cover the team's travel expenses
A rectangle has width x + 2 and length 2x - 1 what is it’s perimeter
Answer:
P=6x+2
Step-by-step explanation:
P=2L+2w
P=2(2x-1)+2(x+2)
P=4x-2+2x+4 can i get brainliest please?
P=6x+2
Which of the following has an x-intercept of 2 and a y-intercept of -4?
Answer:
Second photo
I hope this helps!
Can I have the answers for both questions pls! : ) it's due in tomorrow morning
Answer:
B) y = 35°
Step-by-step explanation:
Any quadriteral is you can add a line that links opposite corners of the quadrilateral and split it into two triangles. Added a single line the links opposite vertices of the quadrilateral and that splits it into two triangles. The angle rule that angles in a triangle add up to 180 degrees so the angle must add up to 180 degrees because of that angle rule and then in the other triangle the angles in that one must add up to 180 degrees. But the quadrilateral is made up of both triangles so you need all the angle in both those triangles to make up the angles of the quadrilateral so two lots of 180 degrees make up for 360 degrees. (180° plus 180° = 360°)
B) 118° plus 67° pus y plus 4y = 360° ( add all the angles that are inside of the quadrlateral)
185° plus 5y = 360° ( 118 degrees plus 67 degrees is 185°, 5y from to y plus 4y. its like you have 1y plus 4y)
5y = 360° - 185° ( subtract 180 degrees from both sides)
5y = 175°
divide by both side by 5, the value of y is 35°
The equation of the line of best fit is y = 0.755x + 11.339. Based on the line of best fit, approximately how many customers are predicted to use a card to pay on a day when 90 customers pay by cash?
Answer:
79
Step-by-step explanation:
Answer:
79
Step-by-step explanation:
Christa has a rectangular rug in her living room that is 6 feet wide and 8 feet long. She decides that the rug is too small for the room, so she orders a new one that covers twice as much area. If the new rug is 1.5 times as wide as the original rug, how long, in feet, is the new rug?
Given:
A rectangular rug in her living room that is 6 feet wide and 8 feet long.
She orders a new one that covers twice as much area.
New rug is 1.5 times as wide as the original rug.
To find:
The length of new rug.
Solution:
We have,
Length of rug = 8 feet
Width of rug = 6 feet
Area of rug is
[tex]Area=length \times width[/tex]
[tex]A_1=8 \times 6[/tex]
[tex]A_1=48\text{ sq. feet}[/tex]
Area of new rug is twice of area of original rug.
[tex]A_2=2\times A_1[/tex]
[tex]A_2=2\times 48[/tex]
[tex]A_2=96\text{ sq. feet}[/tex]
New rug is 1.5 times as wide as the original rug.
Width of new rug = 1.5 × 6 = 9 feet
Let the length of new rug be x feets. So, area of new rug is
[tex]A_2=x\times 9[/tex]
[tex]96=x\times 9[/tex]
Divide both sides by 9.
[tex]\dfrac{96}{9}=x[/tex]
[tex]\dfrac{32}{3}=x[/tex]
[tex]x=\approx 10.67\text{ feet}[/tex]
Therefore, the length of new rug is about 10.67 feet.
What is the length of one side of the pyramid space?
Answer:
136 units
Step-by-step explanation:
it would be 116 units because you add up 15 plus 17 and get 32 then subtract 90 from 32 and get 58
then multiply 58 by 2 and get 116 units
90 degrees per side of pyramid
Wilbur and Mike are selling fruit for a school fundraiser. Customers can buy small boxes of grapefruit and large boxes of grapefruit. Wilbur sold 3 small boxes of grapefruit
and 14 large boxes of grapefruit for a total of $306. Mike sold 7 small boxes of grapefruit and 7 large boxes of grapefruit for a total of $252. What is the cost each of one
small box of grapefruit and one large box of grapefru
Answer:
both size boxes are $18 each
Step-by-step explanation:
Let x and y represent the costs of the small and large boxes, respectively. Then the two sales are ...
3x +14y = 306
7x +7y = 252
Doubling the second equation and subtracting the first, we have ...
2(7x +7y) -(3x +14y) = 2(252) -(306)
11x = 198
x = 18
y = 252/7 -x = 36 -18 = 18
A small box costs $18, as does a large box.
Answer:
both size boxes are $18 each
Step-by-step explanation:
Let x and y represent the costs of the small and large boxes, respectively. Then the two sales are ...
3x +14y = 306
7x +7y = 252
Doubling the second equation and subtracting the first, we have ...
2(7x +7y) -(3x +14y) = 2(252) -(306)
11x = 198
x = 18
y = 252/7 -x = 36 -18 = 18
A small box costs $18, as does a large box.
Determine if the fractions are Equivalent, 65/4,13/4 Help pls
Answer:
The fractions are not equivalent. If you cross multiply, 65 x 4 = 260 and 13 x 4 = 52. 260 > 52.
Simplify using Quotient
Rule
10^12 OVER 10^8
Answer:
[tex]10^4[/tex]
Step-by-step explanation:
All you have to di is subtract the exponents.
Dave is making lemonade. For each 8 cups of water, he uses 3 cups of lemon juice and 2 cups of sugar. If w the number of cups of water, l is the number of cups of lemon juice, and s is the number of cups of sugar, which equations are correct?
A. l = 3/8 (w)
B. l = 3s
C. w= 4s
D. l = 2/3 (s)
Answer: A and C are correct.
Step-by-step explanation:
Look at the proportions. For 8 cups of water there are 3 cups of lemon juice. So L 3/8(w)
For 8 cups of water there are 2 cups of sugar. 8 is 4 times 2. So the amount of water is 4 times the amount of sugar. W= 4s
Rebecca writes 1/5 of a page in 1/14 minute. How many pages can she write in one minute? (fraction) pages per minute.
HELP I BEG!!
Answer:
She can write 2 pages and 4/5 extra.
Step-by-step explanation:
We know that she has already written for 1/14 of a minute. Now we need to turn that fraction into a whole, because the problem is asking for a whole minute.
___ x 1/14 = 1?
14
Now we take the 1/5, and multiply it by the 14 to see how much she writes in a minute.
1/5 x 14 = 14/5
Last we simplify.
14/5 = 2 4/5
solve for c a(c-b)=d
Answer:
[tex]c=\frac{d + ab}{a}[/tex]
Step-by-step explanation:
Step 1: Write equation
[tex]a(c-b)=d[/tex]
Step 2: Solve for c
Distribute a: [tex]ac-ab=d[/tex]Add ab to both sides: [tex]ac=d + ab[/tex]Divide both sides by a: [tex]c=\frac{d + ab}{a}[/tex]Answer:
c=d+ab/a
Step-by-step explanation:
a( c-b)= d
ac - ab= d
+ab +ab
ac= d-ab
/a /a
c= d+ab/a
Which is the type of energy available in food1? gravitational kinetic
Answer:
chemical energy
Food energy is chemical energy that animals (including humans) obtain from food through the process of cellular respiration (also called eating).
An APD Police officer has to write at least 80 speeding
tickets. How many more tickets must a police officer write
if they have already given 27 speeding tickets? Write and
solve the inequality representing this situation.
Answer:
x=[tex]\geq[/tex]80-27
Step-by-step explanation:
there is needed atleast 80 tickets and you've given 27 so you would need a minimum of 53 tickets to make the inequilaty true
Evaluate the expression. 1 + |7|. The answer is probably really easy i'm just dumb-
Answer:
8!
Step-by-step explanation:
I'm sure you're still really smart, you just don't understand it :)
Those two bars mean the absolute value of whatever's inside of them. Absolute value is always positive, so if you had 34 inside of the bars, it would still be positive 34.
Now that we know what those bars mean, the expression is really this:
1 + 7
I'm sure you can solve that :)
Answer: 8
Step-by-step explanation: The answer will be 8. Plus you're not dumb.
3) Find the absolute value /-25/
Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
braniest pls
The diameter of the average cell in the human body is 1 x 10^-5 meters. The diameter of a grain of sand is about 2 x 10^-4 meters. The diameter of a human hair is about 0.000025 meters. Part B (3 points): How many times longer is the diameter of a grain of sand than the diameter of the average cell in the human body? Show your work.
Solve the following equation. Check your solution. 5(x+1)=3x - 9
Answer:
x=-7
Step-by-step explanation:
If u plug in -7 it will make the equation true
can someone help me with this plzz I'll brainlist :)!
Step-by-step explanation:
Putting values of m and n in the equation
12/3 + 5(3)
4 + 15 = 19
(12)(3)/4
= 36/4 = 9
3(12) - 12(3)
36 - 36 = 0
Step-by-step explanation:
m= 12 and n = 3
[tex]a. \: \frac{m}{3} + 5n \\ \frac{12}{3} + 5 \times 3 = 4 + 15 = 19[/tex]
[tex]b. \frac{ mn}{4} = \frac{12 \times 3}{4} = \frac{36}{4} = 9[/tex]
c.[tex]3m - 12n \\ \\ 3 \times 12 - 12 \times 3 = 36 - 36 = 0[/tex]
Select all the angles that are supplementary to <2
Answer:
<4 and <1
Step-by-step explanation:
look and you'll see if you remove the lines between them there is a 180 degree angle.
2# ANSWER SOON
Write an equation that represents the line
Use exact numbers.
Answer:
y = -4/3 - 1
Step-by-step explanation:
Represent the following sentence as an algebraic expression, where "a number" is the
letter x. You do not need to simplify.
The product of 2 and the difference of a number and 9.
Answer:
1
Step-by-step explanation:
2
Suppose that gas costs Big Ray $2.00/gallon and that he pays an attendant $100/day. Let C(x)
represent the total daily cost as a function of the price of the gas. Find the formula for C(x)
Answer:
C(x) = 2x + 100
Step-by-step explanation:
Here, we want to find the formula for C(x)
Here, x will be the number of gallons of gas
so per day, if x gallons of gas were consumed, the daily cost here will be x * 2 = $2x
Adding the cost for the attendant, we have 2x + 100
So the formula for C(x) will be;
C(x) = 2x + 100
ILL GIVE BRAINLIEST !
What can FOIL be used for?
Answer:
I can be used for thermal conductivity, Electrical conductivey, fake grills for teeth lol, ac conducters, and more
Step-by-step explanation:
Answer:
If you mean FOIL (as in first, outside, inner, last)
it is primarily used to distribute a factor properly.
Let U = {9, 10, 11, 12, 13, 14} and A = {11, 13}. Determine whether the statement A⊂U is true or false and find A'.
a. false; A' = {11, 12, 13, 14}
b. true; A' = {9, 10, 11, 12, 14}
c. false; A' = {9, 12, 14}
d. true; A' = {9, 10, 12, 14}
Answer:
D; A⊂U is true and A'={9, 10, 12, 14}
Step-by-step explanation:
A={11,13}
Because those numbers are included in the statement U={9,10,11,12,13,14}, we can say that it's true that A belongs to U.
A' is the numbers of U not including A. So, it would just be U without the 11 and 13, or {9,10,11,12}
9. Subtract: 5 - 3 1/3
A. 1 2/3
B. 2 2/3
C. 3 1/3
D. 2 1/3
Answer:
b is the right answer
Step-by-step explanation:
plz can u follow and make brainliest answer and like and thx to u
Answer:
A. 1 2/3
Step-by-step explanation:
I thought of it backwards and did 1 and 2/3 + 3 and 1/3 = 4 and 3/3
and that turns into 5
Solve the following equation.
X + 5 = 2x
Can some explain to me how to do this? I have to add one of these numbers to both sides of the equation but idk which one.
Answer:
x = 5
Step-by-step explanation:
Subtract x from both sides.
Your equation would look like this now:
5 = 1x
Divide both sides by 1.
x = 5
Hope you understand :)
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[tex]x + 5 = 2x[/tex]
[tex]5 = 2x - x[/tex]
[tex]5 = 1x[/tex]
[tex]x = 5[/tex]
Let us check whether or not we have found out the correct value of x , by placing 5 in the place of x .
Which means :-
5 + 5 = 2 × 5
10 = 10
LHS = RHSHence proved that the value of x = 5 .
Therefore , 5 + 5 = 2 × 5 , ( x = 5 ) .
I need a tutor to help me
Answer:
I wish I was smart to help ya out but I'm not but if you need help there is a tutor that can help you out.
What is a supplementary angle?
Answer:
a supplementary angles are adjacent angles that have a sum of 180 degrees
Step-by-step explanation:
if a supplementary angle measure up.to 180 degrees and x is 3 times the measure.of angle y then 3÷180 is equal to 60 then 60 degrees is the answer .