Cheryl, that paid $37.20 for 12 gallons of ice cream for a school picnic would pay $0.78 for 1 quart of ice cream
To solve this problem, we have to state the equation using the information of the problem
Information about the problem:
Payment= $37.20Amount= 12 gallons1 quart cost=?Converting the amount unit from gallon to quart, we get:
12 gallons * (4 quart / 1 gallon) = 48 quarts
12 gallons are equivalent to 48 quarts
Calculating how much would cost 1 quart of ice cream:
1 quart cost = payment / amount(quart)
1 quart cost = $37.20 / 48 quarts
1 quart cost = $0.78
What are algebraic operations?We can say that they are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
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Yesterday, grace drove 33 1/2 miles. She used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon?
Answer:
30 4/5 or 30.8
Step-by-step explanation:
A HARD DRIVE COST 225,plus 40 hours per hour
A colony of insects doubles every day. If the colony has 5 insects todayHow many will be present in 20 days?
a.1310720
b. 2621440
c. 5242880
d. 10485760
5242880 insects would be present in 20 days.
The correct answer is an option (c)
What is the formula of exponential growth?"[tex]f(x)=ab^x[/tex],
where a is the initial value
b is the growth rate
x is time. "
For given question,
Suppose the function for the population growth is,
[tex]A(t)=A_0\times b^t[/tex]
A colony of insects doubles every day.
⇒ b = 2
The colony has 5 insects today.
⇒ [tex]A_0=5[/tex]
So, the exponential growth function would be,
[tex]A(t)=5\times 2^t[/tex] ...........(1)
We need to find the number of insects after 20 days,
From equation (1),
[tex]\Rightarrow A(20)=5\times 2^{20}\\\\\Rightarrow A(20)=5\times 1048576\\\\\Rightarrow A(20)=5242880[/tex]
Therefore, 5242880 insects would be present in 20 days.
The correct answer is an option (c)
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Write an equation that can be used to calculate d,the distance traveled by Anthony in m minutes.use your equation to determine how far Anthony will have run after 7 minutes.
Answer:
C I think. Sorry if it's incorrect but I pretty sure it isn't.
An 8-column table with 14 rows titled Table 1, Employment by major industry sector, 1996, 2006, and projected 2016. Column 1 is labeled Industry sector with entries services-providing, utilities, wholesale trade, retail trade, transportation and warehousing, information, financial activities, professional and business services, educational services, health care and social assistance, leisure and hospitality, other services, federal government, state and local government. Column 2 is thousands of jobs in 1996 with entries 97,042.9, 639.5, 5,522.1, 14,142.6, 3,935.5, 2,940, 6,968.6, 13,461.8, 2,077.5, 11,604.8, 10,776.5, 5,434.9, 2,877, 16,662.1. Column 3 is labeled thousands of jobs in 2006 with entries 114,407.3, 548.5, 5,897.7, 15,319.4, 4,465.8, 3,054.9, 8,363.2, 17,551.6, 2,918.4, 14,919.8, 13,143.4, 6,234.6, 2,728.3, 19,261.7. Column 4 is labeled thousands of jobs in 2016 with entries 130,189.7, 517.6, 6,326.2, 16,006.4, 4,962, 3,266.7, 9,570.1, 21,643.7, 3,527.4, 18,954.1, 15,016.7, 7,077.2, 2,625.7, 20,696.1. Column 5 is labeled Numeric change 1996 to 2006 with entries 17,354.4, negative 91, 375.6, 1,176.8, 530.3, 114.9, 1,394.6, 4,089.8, 840.9, 3,315, 2,366.9, 799.7, negative 148.7, 2,599.6. Column 6 is labeled numeric change 2006 to 2016 with entries 15,782.4, negative 30.9, 428.5, 687, 496.2, 211.8, 1,206.9, 4,092.1, 609, 4,034.3, 1,873.3, 842.6, negative 102.6, 1,434.4. Column 7 is labeled Average annual rate of change, 1996 to 2006 with entries 1.7, negative 1.5, .7, .8, 1.3, .4, 1.8, 2.7, 3.5, 2, 1.4, negative .5, 1.5. Column 8 is labeled average annual rate of change, 2006 to 2016 with entries 1.3, negative .6, .7, .4, 1.1, .7, 1.4, 2.1, 1.9, 2.4, 1.3, 1.3, negative .4, .7. Based on the above chart, which industry’s average annual rate of change is projected to decrease the most in the 2006-2016 period as compared to its average annual rate of change during 1996-2006? a. Utilities b. Educational services c. Federal government d. State and local government
Answer:
It's not A or D it has to be B or C.
Step-by-step explanation: i just took the quiz on edge and it wasn't A or D.
Answer:
Its B
Step-by-step explanation:
*GIVING BRAINLIEST!!!*
Lynn and Heather both rented a luxury
boat at different companies. Lynn's
company chargeed $50 a minute plus
$1.30 per minute. Heather's company
charges $40 per minute, and $1.40 per minute. After how many minutes will their bills be the same? What will be the cost?
A) 10 minutes, $63
B) 100 minutes, $360
C) 100 minutes, $180
D) 10 minutes, $51
(06.02)
Which of these is the algebraic expression for "five more than the product of ten and some number?" (3 points)
Select one:
a. 10 + 5x
b. 5 + 10 + x
c. 10x + 5
d. 5 + 10 ÷ x
Answer:
i think it is c
Step-by-step explanation:
I know its the weekend but i really need help
Answer:
0
Step-by-step explanation:
because you have 3 1/4 - 2 2/3 it would really be something like .666666 or .33333 because you have 1 1/2 after subtracting the whole numbers, the subtracting the fractions would end in a decimal closest to 0
4 x 4 x •••4 =
7 times
find the base
The base of the given expression will be 4.
Here, we are given that 4 is multiplied by itself 7 times, that is-
4 x 4 x 4 x 4 x 4 x 4 x 4
As anything raised to the power 1 is the number itself, the given expression can also be written as follows-
[tex]4^{1} * 4^{1} *4^{1} *4^{1} * 4^{1} *4^{1} *4^{1}[/tex]
Now, we know that when we need to find the product of 2 numbers whose bases are same, we can simply add the powers. Mathematically this can be represented as follows-
[tex]a^{n}a^{m} =a^{n+m}[/tex]
Thus, the given expression will become-
[tex]4^{1} * 4^{1} *4^{1} *4^{1} * 4^{1} *4^{1} *4^{1}[/tex] = [tex]4^{1+1+1+1+1+1+1}[/tex]
= [tex]4^{7}[/tex]
Thus, we see that when 4 is multiplied 7 times, the base comes out to be 4 only.
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19) It will cost $12.50 per person to make dinner. Write an
inequality that represents the number of people you can make dinner
for if you only have $200 to spend
Answer:
12.50x less than or equal to $200
Step-by-step explanation:
Please help due by 9:30
If you get it right +20 points
Answer:
ad=DC is your answer.....
I need help!!! I am going to fail if I don't!!! I will mark you brainiest.
Room and board charges for on-campus students at the local college have increased 2.3% each year since 2000. In 2000, students paid $5,783 for room and board.
Write a function to model the cost C after t years since 2000.
If the trend continues, how much would a student expect to pay for room and board in 2017? Express your answer as a decimal rounded to the nearest hundredth.
Answer:
C = 5785.39
Step-by-step explanation:
C = 5,785 + .023t
.023 * 17 = .391
.391+ 5785 = 5785.391
hope this helps
Write the function whose graph is the graph of y=x², but is translated 4 units to the left.
y=
Help plss
Answer:
y = (x+4)²
Step-by-step explanation:
If the graph is shifted horizontally, use minus to show it moves right and plus to show it moves left (horizontal shifts go in paratheses)
Answer:
Step-by-step explanation:
[tex]y=x^2\\y_1=(x+4)^2[/tex]
1/2x7 giving your answer as a mixed number
Match each representation with the correct x- and y-intercept.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse
(-4, 0) (0, -12)
(6, 0) (0, 4)
(3, 0) (0, -9)
(-2, 0) (0, -4)
(10, 0) (0, 10)
Take intercepts from the graph:
(10, 0) and (0, 10)2. The function3x - y = 9Calculate the intercepts
x = 0 ⇒ -y = 9 ⇒ y = - 9y = 0 ⇒ 3x = 9 ⇒ x = 3Points are: (3, 0) and (0, - 9)
3. The tableOrdered pairs given:
(0, 4) and (6, 0)4. The graphTake intercepts from the graph:
(-4, 0) and (0, - 12)5. The function6x + 3y = - 12Calculate the intercepts:
x = 0 ⇒ 3y = - 12 ⇒ y = - 4y = 0 ⇒ 6x = - 12 ⇒ x = - 2Points are: (- 2, 0) and (0, - 4)
Please help ASAP please
URGENT!!! a media statistics agency reports that the mean number of televisions in a household in a particular country is 2.24 with a standard deviation of 1.38 what is the probability of a random sample of 40 households have a sample mean number of at least 2.55 televisions per household.
Answer:
0.48173
Step-by-step explanation:
Given that :
Mean (m) = 2.24
Standard deviation (s) = 1.38
Sample size (n) = 40
P(x ≥ 2.55)
Z = (x - m) / (s/sqrt(n))
Z = (2.55 - 2.24) / (1.38 / sqrt(40))
Z = 0.01 / 0.2181971
Z = 0.0458301
P(Z ≥ 0.0458) = 0.48173 ( Z probability calculator)
Find the distance between the two points
Answer:
7[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Distance (d) = √(2 - -5)2 + (-2 - 5)2
= √(7)2 + (-7)2
= √98
= 7√2
= 9.8994949366117
What does p equal in 4 - 3p = 22.
Answer:
p is equal to -6
Step-by-step explanation:
solve the given equation:
4 - 3p = 22 subtract 4 from both sides
-3p = 18 divide both sides by -3
p = -6
hope it helped have great day :)
Answer:
p = -6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define equation
4 - 3p = 22
Step 2: Solve for p
Subtract 4 on both sides: -3p = 18Divide -3 on both sides: p = -6Step 3: Check
Plug in p into the original equation to verify it's a solution.
Substitute in p: 4 - 3(-6) = 22Multiply: 4 + 18 = 22Add: 22 = 22Here we see that 22 does indeed equal 22.
∴ p = -6 is a solution to the equation.
PLEASE HELP!!
Which equation is equivalent to
-3(-x - 2) = 0?
A. 3x + 6 = 0
B. 3x - 5 = 0
C. -3x + 6 = 0
D. -3x - 5 = 0
Answer:
A. 3x+6= 0
Step-by-step explanation:
When you divide - 3 with -x, you will get a positive value and same goes for - 3 and - 2
So that is how you get the answer 3x+6= 0
The subject of the formula is y
y = x - 5
Rearrange the formula to make x the subject.
Answer: x=y+5
Step-by-step explanation:
Add 5 to both sides:
y+5=x-5+5
y+5=x
Answer:
x=y+5
Step-by-step explanation:
y=x-5
move 5 to the other side of the equation we sign changes
y+5=x
rearanging makes
x=y+5
Answer in an hour!!!! No linkssss
answer:
The correct answers are choices B, C, and D. Here is an explanation for each choice: B. All congruent figures are exactly the same size and shape. This is what makes one figure congruent to another. C. If the figures are the same size and shape, then the corresponding sides will also be congruent. D.If the figures are the same size and shape, then the corresponding angles will also be congruent.
There is a committee composed of eight women and two men. When they meet, they sit in a row---the women in indistinguishable rocking chairs and the men on indistinguishable stools. How many distinct ways are there for me to arrange the eight chairs and two stools for a meeting?
Answer:
45
Step-by-step explanation:
10! / (8! * 2!)
The bag contained only red marbles and white marbles. If the ratio of red marbles to white marbles was 5 to 4, what fraction of the marbles were white? *Complete the statement by providing the correct response in number form, using / as the fraction symbol.
The fraction of white marbles is
Answer:1 1/4
Step-by-step explanation: If it is 5/4 it makes one whole leaving an extra
A delivery truck drove 42 miles per hour. It took 4 hours to travel between two towns. What is the distance between the two towns? Use the equation d=rt, where d is distance, r is rate, and t is time.
Answer:
168 miles
Step-by-step explanation:
d = rt
d = 42 × 4
d = 168
Answer:
d = rt
d = 42×4
d = 168
Step-by-step explanation:
That is the distance between the towns.
You have to multiply the amount of miles by the time it took.
d) A rectangular vessel can hold 40 litres of milk when it is full. If the area ofthe base of the vessel is 2000 cm, find the height of the vessel.
Answer:
height of the vessel should be 50 cm I guess
Anyone mind helping? This one might be kinda hard idk tho lol BUT PLEASE HELPPPP
Answer:
Ok
Step-by-step explanation:
14. Classify a triangle with the following side lengths: 16 cm, 12 cm, and 16 cm.
Answer:
Isosceles
Step-by-step explanation:
The triangle has two equal sides of 16 cm. Isosceles triangles are classified to have either two of the same sides or two of the same angles.
Help!! How do I do 1 and 2
Answer:
1. The mode. 2. See below
Step-by-step explanation:
1. To find the mean, you need to add all the numbers up. So, add 24, 27, 31, 32, 36, 36, 36, 39, 40, 58, 58, and 59 to get 503. Then, you need to divide 503 by how many numbers there are, which in this case is 12. So, 503/12 ≈ 42. This number is rounded because it is a repeating decimal. The median is the middle number of the set when it is lined up in order of lowest to highest. In this case, we would need to add up the two middle numbers, 36 + 36, and divide by 2 to find the median. This is 54. The mode is the number that shows up most often. Here, this is 36. In this case, the mode best represents the data because the other two numbers are a bit too high.
2. Add 90 + 90 + 91 + 93 + 99 + 102 + 102 + 105 + 120 + 123 + 128 + 128 + 129 = 1523. Divide by 13 to get approximately 117, which is rounded because it is an ongoing decimal. The median is 102. In this case, we have 3 modes because more than one number occurs two times, so the modes are 90, 102, and 128. This one I'm unsure on since I haven't done this stuff in a while, and that's up to you. The modes give a pretty accurate representation of the range of the data, but then again so does the median and mean. It's up to you and what you've been taught.
NEED HELP WITH FHIS ASAP ILL GIVE BRAINLIEST
Answer:
if you divide 3 by every one of the numbers in the bigger equation you would get 3-x-4