A camera rental company charges a fixed amount plus a fee based on the number of days for which the camera is rented. The graph below shows the amount paid for a different number of days to rent the camera: A graph titled Camera Rentals plots the Number of Days on the x axis and the Amount in dollars on the y axis. A straight line joins the ordered pairs 0, 40 and 4, 120. What is the fixed amount charged? $20 $30 $40 $80
I need help to calculate (The three at the end is to the third power!)
(−1)3
Thank you!!!!!!
William put 0.83 liter of water into a bucket. Matt put 0.98 liter of water into another bucket. When they combined their water into a bigger bucket 10% of the water spilled out. The water they collected had a weight of 1.021 kilograms per liter of water. The expression show below represents the weight, in kilograms, of the water in the bigger bucket. [0.9(0.83 + 0.98)] x 1.021 Rounded to the nearest thousandth, what is the weight, in kilograms, of the water in the bigger bucket?
1.663
1.748
1.763
1.848
An airplane takes 4 hours to travel a distance of 2600 miles with the wind. The return trip takes 5 hours against the wind. Find the speed of the plane in still air and the speed of the wind.
The speed of the plane in still air = 585 mph
and the speed of the wind = 65 mph
What is speed?
"It is the distance covered per unit time."
What is the formula of speed?
"speed = distance/time"
For given question,
Let, the speed of the airplane in still air = x mph
and the speed of the wind = y mph
So, the speed of the airplane with the wind = (x + y) mph
and the speed of the airplane against the wind = (x - y) mph
Here, the distance (d) = 2600 miles
An airplane takes 4 hours to travel a distance of 2600 miles with the wind.
[tex]\Rightarrow x+y=\frac{2600}{4} \\\\\Rightarrow x+y=650~~~~~~~~~~.........................(i)[/tex]
The return trip takes 5 hours against the wind.
This means, an airplane takes 5 hours to travel a distance of 2600 miles against the wind.
[tex]\Rightarrow x-y=\frac{2600}{5}\\\\ \Rightarrow x-y=520~~~~~~~~~~............................(ii)[/tex]
From equation (ii),
x = 520 + y ........................(iii)
Substitute this value in equation (i),
⇒ (520 + y) + y = 650
⇒ 2y = 650 - 520
⇒ 2y = 130
⇒ y = 65 mph
Substitute the value of y in equation (iii),
⇒ x = 520 + y
⇒ x = 520 + 65
⇒ x = 585 mph
Therefore, the speed of the plane in still air = 585 mph
and the speed of the wind = 65 mph
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Haley's car gets at least 17 miles per gallon. If she plans a trip that is 250 miles, what is the minimum number of gallons she'll need?
Answer:
15 gallons
Step-by-step explanation:
Luis rode his bike after school for 48 min. For what part of an hour did he ride his bike. Simplest form
an item cost $340 before tax and then the sale tax is $6.80.find the sales tax rate. write your answer as a percentage
What numbers is divisible by 492,570
Write the standard number for eighteen and forty-three thousandths
The standard number for 'eighteen and forty-three thousandths' is written as 18.043. We express the 'forty-three thousandths' part as .043 and combine it with the whole number 18.
Explanation:The standard number for "eighteen and forty-three thousandths" is written in the decimal format. The whole number, in this case, is 18 and the decimal part is .043 when we express the words 'forty-three thousandths'. Combined together, the number is written as 18.043.
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The perimeter is 128 inches and the width is 30 inches what is the length of the rectangle
A newborn baby gained 9/16 of a pound in 1/4 of a month. What was the baby's growth rate in pounds per month?
5/8 times 1/2 in fraction form
5/8 times 1/2 in fraction form is 5/16.
Here it is needed to find the product or the multiplication of the fractions 5/8 and 1/2.
Whenever a number is taken times to another number, the operation is multiplication.
Here the numbers are fractions.
For fractions, multiplication is in such a way that when two fractions are multiplied, multiply the numerators and the denominators separately and write it as such.
5/8 × 1/2 = (5 × 1) / (8 × 2)
= 5/16
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Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 14 people took the trip. She was able to purchase coach tickets for $240 and first class tickets for $1130. She used her total budget for airfare for the trip, which was $10,480. How many first class tickets did she buy? How many coach tickets did she buy?
At the rate of $7.22 how much will Whitney eat in 40 hours
Hayley begins solving this problem by combining like terms. 3x + 5x = 10 Which problem requires the same strategy (combining like terms)? A) 5x=20 B) 3(x + 5) = 20 C) x ÷ 4= 30 D) 3x - 2x = 10
Answer:
D) 3x - 2x = 10
Explanation:
To combine like terms, you add or subtract terms that have the same variables and exponents. In the problem we are given, 3x and 5x are like terms; we would add them together and then continue solving.
In choice A, there are no like terms to combine.
In choice B, we would use the distributive property; after that, there are no like terms to combine.
In choice C, we would cancel the 4; there are no like terms to combine.
Choice D has two like terms, 3x and 2x. We would subtract them and then continue solving.
1. BAKING A recipe for 1 apple pie calls for 6 cups of sliced apples. How
many cups of sliced apples are needed to make 4 apple pies?
2. BASEBALL CARDS Justin bought 40 packs of baseball cards for a discounted
price of $64. If he sells 10 packs of baseball cards to a friend at cost,
how much should he charge?
3. SOUP A recipe that yields 12 cups of soup calls for 28 ounces of beef
broth. How many ounces of beef broth do you need to make 18 cups of
the soup?
4. ANIMALS At a dog shelter, a 24-pound bag of dog food will feed 36 dogs
a day. How many dogs would you expect to feed with a 16-pound bag
of dog food?
5. AUTOMOBILES Mr. Fink’s economy car can travel 420 miles on a 12-gallon
tank of gas. Determine how many miles he can travel on 8 gallons.
Answer:
Step-by-step explanation:
The rabbit population in a certain area is 500% of last year's population. There are 300 rabbits this year. How many were there last year? There were rabbits last year.
500% - 5.00
300 / 5 = 60
there were 60 rabbits last year
A Recipe for party mix calls for 3/4 cup of cereal , 1/4 Cup of walnuts, 5/8 cup of crackers , and 1/2 cup of raisins . determine the number of cups in the mix. write the answer in the simplist form ?
A. 2 1/8
B. 1 1/8
C. 10/18
D. 17/8
Explain if you can. I'm really confused!
What can be answered with science?
Questions that are non-testable
Questions about things that can be measured
Questions that ask about an opinion
Questions that ask about a moral value
Can someone help me find 2 skews and 2 perpendicular lines thanks
Write 100,000 as a power of 10. A) 103 B) 104 C) 105 D) 106
The number 100,000 is written power of 10 as [tex]10^5[/tex]. Therefore, option C is the correct answer.
The given number is 100,000.
We need to write 100,000 as a power of 10.
What is scientific notation?To determine the power or exponent of 10, let us understand how many places we need to move the decimal point after the single-digit number.
If the given number is multiples of 10 then the decimal point has to move to the left, and the power of 10 will be positive.If the given number is smaller than 1, then the decimal point has to move to the right, so the power of 10 will be negative.Now, 100,000 can be written as [tex]10^5[/tex].
The number 100,000 is written power of 10 as [tex]10^5[/tex]. Therefore, option C is the correct answer.
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what is the value of 412.321 if the underlined diget is 1 on the part .321?
What is x? 3x+4y=70 and 8x-3y=9
3. At a bargain store, Tanya bought 3 items that each cost the same amount. Tony bought 4 items that each cost the same amount, but each was $2.25 less than the items that Tanya bought. Both Tanya and Tony paid the same amount of money. What was the individual cost of each person's items? (a) Write an equation. Let x represent the cost of one of Tanya's items. (b) Solve the equation. Show your work. (c) Check your solution. Show your work. (d) State the solution in complete sentences. Answer:
3x = 4(x-2.25)
3x = 4x-9
add 9 to both sides
3x+9 =4x
subtract 3 x from each side
x=9
Tonya's items were $9 each
Tony's items were 9-2.25 = 6.75 each
check:
9*3=27
4 *6.75 = 27
An internet bookseller charges $6 per paperback book plus a $3 shipping and handling fee per order. If Mr. Montoya spent $111 on books for his class, how many books did he buy?
a butcher has 10 3/4 pounds of ground beef that will be process at $3.40 per pound. he divides the meat into 8 equal packages. to the nearest cent, what will be the price of each package? explain how you know that your answer is reasonable
Please Geometry Help!!!!!
Mulch to cover a rectangular garden costs $48. Mulch is needed to cover a larger, similar garden. The ratio of dimentions is 2:3. How much would it cost to cover the larger garden?
A) $288
B) $192
C) $72
D) $108
The cost of covering the larger garden is $192. So option (b) is correct.
To solve this problem, let's first find the dimensions of the larger garden.
Given that the ratio of dimensions between the two gardens is 2:3, let's assume the dimensions of the smaller garden are 2x and 3x, where x is a common factor.
So, the smaller garden's area is (2x) * (3x) = 6x².
Now, let's find the area of the larger garden. Since the ratio of dimensions is 2:3, the dimensions are 2(2x) and 3(2x), which are 4x and 6x.
Thus, the larger garden's area is (4x) * (6x) = 24x².
Now, since the cost of mulch is directly proportional to the area, we can set up a proportion to find the cost.
(6x²) / (24x²) = $48 / Cost of covering the larger garden
Solving for the cost of covering the larger garden:
Cost of covering the larger garden = ($48 * 24x²) / (6x²)
= $192
So, the correct answer is B) $192.
I am k years old and my daughter is y years younger.
What is the sum of our ages?
What will be the sum of our ages next year?
What will be the difference of our ages next year?
The sum of our ages is
, the sum of our ages next year will be
, the difference of our ages next year will be
Answer:
sum: k + (k-y)
next year : (k+1) + ((k+1) -y)) or (k+ (k-y)) + 2
Difference: No matter what year it is the difference between the ages is the same... so (k + (k-y)) ?
Step-by-step explanation:
I hope this helps
This year, the sum of your ages is 2k - y. Next year, the sum of your ages will be 2k - y + 2, and the difference in your ages will remain y.
Explanation:If you are k years old and your daughter is y years younger, then your daughter's age is 'k - y'. The sum of your current ages is k + (k - y), which simplifies to 2k - y.
Next year, both of you will be one year older. Therefore, the sum of your ages next year would be '(k + 1) + (k - y + 1)', which simplifies to 2k - y + 2.
The difference in your ages next year would still be 'y' because the ages increase uniformly and the difference between your ages doesn't change.
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The Masons are driving home from a trip. The function graphed models the Masons' distance from home, y, in miles, after x hours of driving.
What do the key features of the graph indicate in this situation?
Drag and drop the answers into the boxes.The / indicates that the Masons are mi from /home when they begin driving.