2. A 2-pint bottle of olive oil costs $2.68. If
the unit price remains the same, how much will
gallons of olive oil cost?
Answer:
21.44 All you need to do is divide the 2.68 by 2 then multiply it by 16
Help!
How is the quotient of 3,566 and 17 determined using an area model?
3,566 ÷ 17 = (
÷ 17 ) + (
÷ 17 ) + (13÷17)
3,566 ÷ 17 =
+
+ 13/17
3,566 ÷ 17 =
[Blank] 13/17
Using an area model, we can determine that the quotient of 3,566 divided by 17 is 210 with a remainder of 13/17.
To determine the quotient of 3,566 divided by 17 using an area model, we can represent the numbers using a rectangular grid.
First, create a rectangular grid with 3,566 units as the total area. Divide the grid into 17 equal sections horizontally. Each section will represent the value of 17.
Now, we need to see how many times 17 can fit into 3,566. Starting from the left, fill the grid with 17 units horizontally until you reach a point where you cannot fit any more complete sections of 17. Count the number of complete sections filled in, and this will give us the whole number part of the quotient.
In this case, we can fit 210 complete sections of 17 in 3,566. So far, we have:
3,566 ÷ 17 = 210
Next, we need to determine the remaining part after filling in the complete sections. The remaining area represents the numerator of the fraction part of the quotient. Count the number of units that are not covered by the complete sections. In this case, there are 13 units left.
Now, we have:
3,566 ÷ 17 = 210 + 13/17
The final quotient is 210 and 13/17. This means that 3,566 divided by 17 is equal to 210, with a remainder of 13 units, which is represented as a fraction 13/17.
In summary, using an area model, we can determine that the quotient of 3,566 divided by 17 is 210 with a remainder of 13/17.
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Find the common difference of the arithmetic sequence -2, -4, -6, ...
Answer:
-8
in this the arthmatic difference is table of 2
Answer:
the common d/f is that -2>-4>-6
Help me please its due in 20 minutes!!!!
Find the output, y, when the input, x, is -9.
y =
Answer:
when x=-9, y=1
Step-by-step explanation:
the graph shows when the x is at -9, the y is at 1
4. Logan is purchasing a new home. After making his down payment, he
will need to obtain a mortgage for $120,000. Based on his credit score,
he qualifies for a fixed rate 15-year mortgage with a 4.5% APR. Calculate
his monthly payment, the amount of his first monthly payment that is an
interest payment, the amount that is applied to the principal, and the new
loan balance.
Answer:
monthly payment = $918
interest payment = $450
principal payment = $468
new loan balance = $119,532
Step-by-step explanation:
What color would you see if there was an endless wall of clear glass with no background.
Answer:
Clear
Step-by-step explanation:
I'd probably imagine a bunch of images
writing to explain tyler has 83 footballs cards that he wants to put into an album. each page holds 6 cards. how many pages will he need? how many spaces will he have left for new cards? explain to awnser.
Since tyler has 83 football cards we can divided, 83 divided by 6 cards for each page would have 13 cards, and he would have an extra page making 14 with the last one containing 5 left over cards, this would leave one space left over for new cards.
Sally needs 4 equal pieces of rope for her
tire swing. If she has a total of 29.4 feet of
rope, how much will each piece of rope
be?
Please anwser this is all the points I have :)
Check the picture below.
so let's recall that the area of a circle is just πr² where r = radius, so since the sizes of each pizza are 10, 14, 18 and 22, that's simply their diameter, so that means they each have a radius half of that, or namely 5, 7, 9 and 11, as you see in the picture, so, hmmm which radius gives us the most area per the fraction provided, namely per slices provided?
\(\cfrac{4}{8}\pi 5^2\implies \cfrac{25\pi }{2} ~~ \approx ~~ 39.26~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3}{8}\pi 7^2\implies \cfrac{147\pi }{8} ~~ \approx ~~ 57.73~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{2}{8}\pi 9^2\implies \cfrac{81\pi }{4}~~ \approx ~~ 63.62~in^2 ~~ \textit{\LARGE \checkmark} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{8}\pi 11^2\implies \cfrac{121\pi }{8}~~ \approx ~~ 47.52~in^2\)
Answer: Large
Step-by-step explanation: Hope it helps Good luck!!!
Two competing gyms each offer childcare while parents work out Gym A charges $9.00 per hour of childcare. Gym B
charges $0.75 per 5 minutes of childcare. Which comparison of the childcare costs is accurate?
Answer:
They charge an equal amount of money each hour.
Answer:
Gym B and Gym A charge the same hourly rate for childcare.
Step-by-step explanation:
answer on edge
in school ,3/7of the number of pupils are boys.there are 324girls.what fraction of the total number of pupils are girls ?
Answer: it would be 4/7 ur welcome hope u have a good day!
Step-by-step explanation:
What translation would map C onto A?
A. (x – 7, y + 3)
B. (x + 3, y – 7)
C. (x – 3, y + 7)
D. (x + 7, y – 3)
Answer:
A
Step-by-step explanation:
consider the coordinates of points C and A
C (4, - 1 ) and A (- 3, 2 )
4 → - 3 in the x- direction is - 7
- 1 → 2 in the y- direction is + 3
then the translation rule is
(x, y ) → (x - 7, y + 3 )
40 is 8% of what number?
\(\text {Hi! Let's Solve This Problem!}\)
\(\text {Since we are finding the number that equals 40 we want to Divide 40/8 Percent.}\)
\(\text {\underline {Divide}}\)
\(\text {40/8 Percent = }\)
\(\text {Your Answer Would Be:}\)
\(\Huge\boxed {500}\)
\(\text {If we wish to review to see if it was correct let's Multiply 500*8 Percent.}\)
\(\text {\underline {Multiply}}\)
\(\text {500*8 Percent =}\)
\(\text {Your Answer Would Be:}\)
\(\Huge\boxed {40}\)
\(\text {Best of Luck!}\)
Answer:
500
Step-by-step explanation:
So we can write it become:
40 is 8/100 or 2/25 of x
thus:
x = 25/2 × 40 = 25 × 20 = 500
I hope this helps you :)
The LARGEST prime number that is less than 100 is
(A) 91
(B) 93
(C) 97
(D) 99
Answer:
97
Step-by-step explanation:
ez
Answer:
(c) 97
Step-by-step explanation:
97 is the largest prime number because 97 has no other multiples other than 1 and itself. 99 is divisible by 3, 9, 11, 33, 99.
91 is a prime number but it is not the greatest.
93 is a composite.
99 is a composite as well.
What is the 18th term to the sequence 14,18,22
The cleaning service charges $15 per hour. Mr. Henrickson is hiring the cleaning service but does not want to spend more that $75. What is the maximum number of hours that he can hire the cleaning service? Write an inequality and solve.
The maximum number of hours that he can hire the cleaning service would be 5.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Consider that the number of hours for which the total cost would be the same be x
The first inequality is;
$15x > $75
Now equate equations
$15x - $75 = 0
15x = 75
x = 5
Hence, the maximum number of hours that he can hire the cleaning service would be 5.
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An investment portfolio is shown below.
Investment Amount Invested ROR
Money Market Account $3,200 2.1%
Government Bond $1,750 4.4%
Preferred Stock $1,235 −7.8%
Common Stock $2,300 10.5%
Using technology, calculate the difference between the arithmetic average ROR and the weighted average ROR. Round to the nearest tenth of a percent.
0.5%
1.1%
2.3%
3.5%
Using technology, the difference between the arithmetic average ROR and the weighted average ROR is 0.52%
What is arithmetic mean?The Arithmetic Mean will be called the Simple Arithmetic Mean when it is calculated as the quotient between the sum of all the different related values and the number of observations involved in this sum.
Given An investment portfolio
Since arithmetic average ROR:
The average arithmetic average ROR is the sum of the rate of returns divided by the number of investments arithmetic average:
ROR = (2.1%+ 4.4%+ 7.8% + 0.5%)/4
arithmetic average ROR=6.20%
total amount invested=$3200+$1750+$1235+$2,300
total amount invested=$8,485
weighted average:
ROR = (3200/8485 * 2.1%+ 1750/8485 * 4.4%+ 1235/8485 *7.8% + 2300/8485 *0.5%)
weighted average:
ROR=5.68%
difference=6.20%-5.68%
difference=0.52%
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Answer: it’s 1.1%
Step-by-step explanation: just got it right on the test
At the first stop, 17 people
got off the bus. Now there
are 35 people on the bus.
How
mony were on the
bus to begin win?
Answer:
There were 52 people on the bus to begin with.
Step-by-step explanation:
If 17 people got off and 35 were remaining then you have to add 17 + 35 = 52
Answer:
17+35=52
Step-by-step explanation:
AT BEGNING THERE WERE 52 people on bus so when the 17 people got off the bus on first stop only 35 remained.
Consider the data from the Anthropology 105 class. The mean is 64.33 in and the standard deviation is2.64 in.2. Label the heights at , + , − , + 2 etc. at the bottom of the normal curve below. (round to the hundredthsplace)______ _____ _____ _____ _____ _____ _____3. The middle 68% of women represented have a stature between what two heights? (round to the hundredths place)4. The middle 95% of women represented have a stature between what two heights? (round to the hundredths place)5. Write a sentence that uses the 95% range.
The given distribution represents the height of the women in the anthropology class. The mean height is μ= 64.33in and the standard deviation is σ= 2.64in.
2. Using the given mean and standard deviation, you can determine the value of each label:
\(\begin{gathered} \mu=64.33in \\ \\ \mu-\sigma=64.33-2.64=61.69in \\ \\ \mu+\sigma=64.33+2.64=66.97in \\ \\ \mu-2\sigma=64.33-2*2.64=59.05in \\ \\ \mu+2\sigma=64.33+2*2.64=69.61in \\ \\ \mu-3\sigma=64.33-3*2.64=56.41in \\ \\ \mu+3\sigma=64.33+3*2.64=72.25in \end{gathered}\)The labels are then:
3. Following the empirical rule, the middle 68% of any normal distribution is within one standard deviation of the mean.
\(\mu\pm\sigma=68\%\)Then, you would find the middle 68% of the heights of the women within:
→ μ - σ= 61.69in
→ μ + σ= 66.97in
4. Following the empirical rule, 95% of the distribution is found within 2 standard deviations of the mean.
\(\mu\pm\sigma=95\%\)Then, you would find the middle 95% of the women's height will be found within:
→ μ - 2σ= 59.05in
→ μ + 2σ= 69.61in
5. You can define the middle 95% of the distribution as follows:
95% of the women in the anthropology 105 class are expected to have a stature between 59.05 inches and 69.61 inches.
What is 9 + 10
FROM THE MEME ONLY
Answer:
21
Step-by-step explanation:
you stoopid
Answer:
9 + 10 = 37 1/2
Step-by-step explanation:
i forgor
help help help help help
Answer:
Its b
Step-by-step explanation:
Ethan has started a part-time business making and selling bird feeders. His supplies cost him $75. If he makes a profit of $6 on each bird feeder, how many must Ethan sell to make a total profit of more than $135? Write an inequality to model this situation and solve the inequality.
Answer:
6y - 75 > 135
y > 35
Step-by-step explanation:
Given parameters:
Cost price of supplies = $75
Profit per bird feeder = $6
Expected profit > $135
Unknown:
An inequality that models the total number of feeders Ethan must sell to have the expected profit = ?
Solution:
Let the number of feeders must sell = y
Profit = Selling price - Cost price
Selling price = profit per bird feeder x number of feeders = 6y
Now;
6y - 75 > 135 is the inequality
We must no solve this;
6y - 75 > 135;
adding 75 to both sides;
6y - 75 + 75 > 135 + 75
6y > 210
Divide 6 into both sides;
y > 35
So, Ethan must sell more than 35 feeds to make a profit of more than $135
Translate this sentence into an equation.
60 is the sum of 15 and Mabel's age.
Use the variable m to represent Mabel's age.
Answer:
60 = 15+m
Step-by-step explanation:
sum is the outcome or total of an addition problem
The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first determine the percentage of adults who have heard of the brand. How many adults must he survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage? b) Assume that a recent survey suggests that about 87% of adults have heard of the brand.
Answer:
He must survey 123 adults.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).
The margin of error is:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
Assume that a recent survey suggests that about 87% of adults have heard of the brand.
This means that \(\pi = 0.87\)
90% confidence level
So \(\alpha = 0.1\), z is the value of Z that has a p-value of \(1 - \frac{0.1}{2} = 0.95\), so \(Z = 1.645\).
How many adults must he survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage?
This is n for which M = 0.05. So
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
\(0.05 = 1.645\sqrt{\frac{0.87*0.13}{n}}\)
\(0.05\sqrt{n} = 1.645\sqrt{0.87*0.13}\)
\(\sqrt{n} = \frac{1.645\sqrt{0.87*0.13}}{0.05}\)
\((\sqrt{n})^2 = (\frac{1.645\sqrt{0.87*0.13}}{0.05})^2\)
\(n = 122.4\)
Rounding up:
He must survey 123 adults.
John bought a recliner priced at $500, which was financed for $30 a month for 24 months. What is the total
cost for the recliner? How much is the finance charge?
Answer:
$720 total cost $220 finance
Step-by-step explanation:
30x 24= $720 total. 720-500= $220 is the finance charge.
:) hope this helped.
The total cost of the recliner is $720 thus the finance charge will be $220.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.
Multiplication = to multiply any two or more numbers or variables called multiplication.
Summation = addition of two or more numbers or variable
As per the given,
Price of recliner = $500
Financed for $30 for 24 months
Total cost = 30 x 24 = $720
Finance charge = $720 - $500 = $220
Hence "The total cost of the recliner is $720 thus the finance charge will be $220".
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The length of a rectangle is 1 yd more than double the width, and the area of the rectangle is 66 yd^2 . Find the dimensions of the rectangle.
The dimensions of the rectangle as described in the task is; 12.4 by 5.7 yd.
What is the dimension of the rectangle?Since the area, length and breadth of the rectangle are as described, it follows that;
66 = x(2x+1)
66 = 2x² + 1
x² = 32.5
x = 5.7
Therefore, the dimensions are 5.7 and 12.4.
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The formula for the volume of this rectangular prism is:
V = x 3 + 5x 2 - 4x - 20
The length is x+5; the width is x+2; the height is unknown. Find an expression for the height.
Show all steps of your work for full credit.
Answer:
Step-by-step explanation: Explanation:
If
L
,
H
and
W
represent the length, height and width of the prism, then the volume of the rectangular prism is :
V
=
L
.
H
.
W
............. (1)
Given :
V
=
x
3
+
11
x
2
+
20
x
−
32
;
............... (2)
W
=
(
x
−
1
)
;
H
=
(
x
+
8
)
.
Let
L
=
(
x
+
l
0
)
be the expression for the length, then the RHS of equation (1) becomes
L
.
H
.
W
=
(
x
−
l
0
)
(
x
+
8
)
(
x
−
1
)
,
=
(
x
+
l
0
)
(
x
2
+
7
x
−
8
)
=
(
x
+
l
0
)
(
x
2
+
7
x
−
8
)
=
x
3
+
(
7
+
l
0
)
x
2
+
(
7
l
0
−
8
)
x
−
8
l
0
..... (3)
Comparing this to the LHS of equation (1), we get the following set of equations to solve for
l
0
,
7
+
l
0
=
11
;
7
l
0
−
8
=
20
;
8
l
0
=
32
;
l
0
=
4
Therefore
L
=
(
x
+
4
)
The function g is given in three equivalent forms.
Which form most quickly reveals the y-intercept?
Choose 1 answer:
g(x) = 3x² + 6x - 9
g(x) = 3(x + 1)² – 12
-
g(x) = 3(x+3)(x - 1)
What is the y-intercept?
y-intercept = (0,
▸
The form of the function that most quickly reveals the y-intercept is the second form:
\(g(x)=\) \(3(x+1)^{2} - 12\)
To find the y-intercept, we need to determine the value of g(x) when x is equal to 0. By substituting x = 0 into the function, we have:
\(g(0)=3(0+1)^{2} -12\)
\(=3(1)^{2} -12\)
\(=3-12\)
\(=-9.\)
Therefore, the y-intercept is -9. This means that the graph of the function intersects the y-axis at the point (0, -9), where the x-coordinate is 0 and the y-coordinate represents the y-intercept value.
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A certain region of America with over 500,000 households has a mean household income of $70,000 with a standard deviation of $20,000. Economists plan to take random samples of 625 households and calculate the sample mean income -x for each sample.
Calculate the mean and standard deviation of the sampling distribution of -x.
The mean and the standard deviation of the sampling distribution of x are given as follows:
Mean: $70,000.Standard deviation: $800.How to obtain the mean and the standard deviation?The mean and the standard deviation of the sampling distribution of x are obtained using the Central Limit Theorem.
The mean is the same as the population mean, hence it is given as follows:
$70,000.
The standard deviation is given by the population standard deviation divided by the square root of the sample size, hence:
20000/25 = $800.
(as 25 is the square root of 625).
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