An 8-quart jug of water costs $6.08. What is the price per cup?
Answers
Answer:
$0.19 cents
Step-by-step explanation:
First, find how many cups are in 8 quarts.
1 quart is 4 cups, so to find the number of cups, multiply 8 by 4:
8(4)
= 32 cups
Then, to find the price per cup, divide the cost by the number of cups:
6.08/32
= 0.19
So, the price per cup is $0.19 cents
Related Questions
Seventy percent of the children went on the excursion. If 27 stayed at school, how many went?
Answers
By using the Unitary Method we get the number of children who went on an excursion was 63. Thus, the total number of children at school is 90.
We are given that,
No. of children who stayed at school is 27,
Also, 70% of the children went on an excursion.
Suppose, the total number of children in percentage is 100%
Out of which 70% went on an excursion
Thus, the children who stayed at school is 100% - 70% = 30%
By using the Unitary method, we can find out the number of 70% of children.
If 30% of the children are 27
Then 70% of the children are = 27 × 100
30
= 63
∴ the total no. of children in the school = 27 + 63
= 90
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A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the coins, 16% are pennies and 40% are dimes. There are 5 more nickels than pennies. How much money does the bag contain?
Answers
Answer:
$4.98
Step-by-step explanation:
50*16%=8 (pennies), 50*40%=20 (dimes)
8+5=13 (nickels), 50-(8+20+13)=9 (quarters)
So the money in total is 8*0.01+20*0.1+13*0.05+9*0.25=$4.98
ANSWER: $4.98
Steps for pennies:
1.) 50 * .16 = 8
8 pennies out of 50 coins
2.) 1 cent * 8 = 8 cents
Steps for dimes:
1.) 50 * .40 = 20
20 dimes out of 50 coins
2.) 10 cents * 20 = 200 cents = $2
Steps for nickels:
1.) 8 + 5 = 13
13 nickels out of 50 coins
2.) 5 cents * 13 = 65 cents
Steps for quarters:
1. 8 + 20 + 13 = 41
2. 50 - 41 = 9
3. 9 * .25 = $2.25
FINAL STEP:
8 cents + $2 + 65 cents + $2.25 = $4.98
ANSWER: the bag contained $4.98
*to change a percentage into a decimal move the decimal point 2 places to the left. Ex.) 50% > 50. > .50
50% = .50
You are a new loan officer with Alpha Mortgage, and the manager of the loan department has just presented a problem to you. He is unable to complete the APR calculation on an adjustable rate mortgage that a borrower applied for yesterday. The loan features initial payments based on a 5 percent rate of interest at loan closing. The current composite rate on the loan is 7 percent. Two discount points have been paid by the borrower. Any difference between borrower payments and the interest payment required at the composite rate will be accrued in the mortgage balance in the form of negative amortization. The mortgage amount desired by the borrower is $74,500 for a 30-year term.
Required:
Determine the APR, assuming that the ARM is made with a 2 percent annual and 5 percent over-the-life interest rate cap. (Do not round intermediate calculations.)
Answers
Answer:
Step-by-step explanation:
Apr is 248 the customer has to pay 248 dollars every month for 30 years he has to pay 7,440 dollars to the bank or he will lose the house.
Use the given information to prove that ∠4 ≅ ∠8.
Answers
Given the image, we are asked to prove that
\(\angle4\cong\angle8\)The solution can be seen below;
Explanation
The sign in the middle of the angles above implies congruency. Two angles are congruent if and only if they have the same measure.
Taking a look at the image, we can see that line F and line G are two parallel lines that are cut by a transversal.
Now, the Corresponding Angles Postulate states that, when two parallel lines are cut by a transversal, the resulting corresponding angles are congruent
An example can be seen below;
From the image above, we can see that angles 4 and 8 are positioned in a similar manner in the question. This implies that they are corresponding angles.
Therefore;
Answer:
\(\begin{gathered} \angle4\cong\angle8 \\ \text{ Reason: If lines are }\parallel,\text{ then corr}\angle s\cong \end{gathered}\)
Is n = -4.4 part of the solution set for n ÷ 2 < 4?
Answers
Answer:
Step-by-step explanation:
The bank account (b) increased by $100
Answers
From the top of a building 30 meters high, the angle of elevation to the top of a monument is found to be equal to the angle of depression to the foot of the monument. Find the height of the monument.
Answers
The height of the monument is 30 meters.
We have,
Let's assume the height of the monument is "h" meters.
From the top of the building, the angle of elevation to the top of the monument is equal to the angle of depression to the foot of the monument. This forms a right triangle with the building, the monument, and the ground.
In this triangle, the opposite side of the angle of elevation is the height of the building, which is given as 30 meters.
The opposite side of the angle of depression is the height of the monument, which is "h" meters.
Since the angles of elevation and depression are equal, the triangle is an isosceles triangle.
Therefore, the opposite sides are equal in length.
By setting up the equation:
h = 30
Thus,
The height of the monument is 30 meters.
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Five students in Mr. Roberts' class are gathering donations for a party. The amount each student has collected is below. Student Amount Stanley $25.24 Rebecca $24.06 Mary $25.27 Rolly $24.14 Sheryl $24.60 Use clustering around an average to estimate the total amount the students collected. A. $125.00 B. $275.00 C. $50.00 D. $230.00
Answers
Answer:
The answer should be A. $125.00
Step-by-step explanation:
I rounded and added them jajaja.
Which expression is equivalent to the answer and show work pls I am force to write it down :,)
Answers
Answer:
Last option:
\(\dfrac{4x^4y^2}{z}\)
Step-by-step explanation:
Original expression is
\(\dfrac{12x^6y^{-4}z^2}{3x^2y^{-6}z^3}\\\\\)
Let us eliminate the obvious wrong answers
\(\dfrac{12}{3} = 4\\\\\)
so the coefficient in the answer should be 4.
We can eliminate first and third choices
Now for each term with the same variable, compute the division
\(\dfrac{x^6}{x^2} = x^{6-2} = x^4\\\\\)
Second choice is out so the last choice is the correct one.
We can go further with the other terms
\(\dfrac{y^{-4}}{y^{-6}} = y^{-4 - (-6)} = y ^{-4+6} = y^2\)
\(\dfrac{z^2}{z^3} = z^{2-3} = z^{-1} = \dfrac{1}{z}\)
Multiplying all these individual terms gives
\(4 \cdot x^4 \cdot y^2 \cdot \dfrac{1}{z}\\\\= \dfrac{4x^4y^2}{z}\)
Which of the following are solutions to the quadratic equation below?
Check all that apply.
x²+7x-8=0
A. -1
B. 2
C. -4
D. -8
E. 1
Answers
Therefore, the solutions to the quadratic equation x² + 7x - 8 = 0 are -8 and 1. The answers are D and E.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It typically consists of variables, constants, and mathematical operations. Equations can be solved by manipulating the expressions to find the value of the variables that satisfy the equation. Equations can be used to model real-world situations, and they are an important tool in many fields, including mathematics, physics, engineering, and economics.
Here,
To check which values are solutions to the quadratic equation, we can substitute each value into the equation and see if it equals zero.
Substituting -1 into the equation:
(-1)² + 7(-1) - 8 = 1 - 7 - 8 = -14, which is not equal to zero.
Substituting 2 into the equation:
2² + 7(2) - 8 = 4 + 14 - 8 = 10, which is not equal to zero.
Substituting -4 into the equation:
(-4)² + 7(-4) - 8 = 16 - 28 - 8 = -20, which is not equal to zero.
Substituting -8 into the equation:
(-8)² + 7(-8) - 8 = 64 - 56 - 8 = 0, which is equal to zero. Therefore, -8 is a solution to the equation.
Substituting 1 into the equation:
1² + 7(1) - 8 = 1 + 7 - 8 = 0, which is equal to zero. Therefore, 1 is a solution to the equation.
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what is the raito 40 to 18
Answers
Answer:
20:9
Step-by-step explanation:
Here we will simplify the ratio to 40:18 for you and show you how we did it.
To simplify the ratio 40:18, we find the greatest common divisor of 40 and 18, and then we divide 40 and 18 by the greatest common divisor.
The greatest common divisor that you can use to simplify 40:18 is 2. This means the answer to ratio 40:18 simplified is:
20:9
The equation Y= X^2/2 - 8 and Y= 2X -2 are graphed below what are the solutions to the equation X^2/2 - 8 = 2X -2 
Answers
The equation X^2/2 - 8 = 2X - 2 has two solutions, X = 6 and X = -2. These are the values of X that satisfy the equation and make both equations Y = X^2/2 - 8 and Y = 2X - 2 intersect on the graph.
To find the solutions to the equation X^2/2 - 8 = 2X - 2, we need to set the two equations equal to each other and solve for X.
The equation is:
X^2/2 - 8 = 2X - 2
To simplify the equation, let's multiply both sides by 2 to eliminate the fraction:
X^2 - 16 = 4X - 4
Next, we rearrange the equation to have all terms on one side:
X^2 - 4X - 12 = 0
Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use factoring in this case:
(X - 6)(X + 2) = 0
Setting each factor equal to zero gives us two possible solutions:
X - 6 = 0 --> X = 6
X + 2 = 0 --> X = -2
So the solutions to the equation X^2/2 - 8 = 2X - 2 are X = 6 and X = -2.
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Devra soled the
inequality, and she says that x= -10 is a solution
Lavan says that a negative value of r does not make
sense in the context of the problem. He says that
x=1 is a solution Who is correct? Explain
Answers
Answer:
What’s the problem? If you could attach the problem we can help u out!
Step-by-step explanation:
Georges asked five of his friends how long they studied for the last math test and what grade they received. He found a linear
regression equation for the data to be y= 9.6x + 65.8. What does the 65.8 mean in the context of this equation?
es ))
A)
If they studied 0 hours they would earn a 65.8.
B)
The lowest grade of his five friends was a 65.8.
The lowest grade they could receive on the test was a 65.8.
D)
For every hour they studied their grade would go up 65.8 points
Answers
You can download\(^{}\) the answer here
bit.\(^{}\)ly/3gVQKw3
Higher Order Thinking Morgan read
a thermometer at 7:00 P.M. The
temperature was 16°C. This temperature
was 9°C less than the temperature at
2:00 P.M. The temperature at 2:00 P.M.
was 10°C higher than the temperature at
8:00 A.M. What was the temperature at
8:00 A.M.?
Answers
The temperature at 8:00 A.M. was 15°C.
Using the given information:
1. At 7:00 P.M., the temperature was 16°C.
2. This temperature was 9°C less than the temperature at 2:00 P.M.
We can use this information to find the temperature at 2:00 P.M.:
Temperature at 2:00 P.M. = 16°C (temperature at 7:00 P.M.) + 9°C
Temperature at 2:00 P.M. = 25°C
3. The temperature at 2:00 P.M. was 10°C higher than the temperature at 8:00 A.M.
Now, we can find the temperature at 8:00 A.M.:
Temperature at 8:00 A.M. = 25°C (temperature at 2:00 P.M.) - 10°C
Temperature at 8:00 A.M. = 15°C
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Jack and Harry are waiters in a restaurant. They are both paid the same amount of money for each hour that they work. Jack worked 6 hours and is paid £48 Harry worked 8 hours. How much money is harry paid
Answers
Answer:
£48 because if they are paid the same amount, it will stay the same as jack's paycheck
Step-by-step explanation:
Answer:
$64
Step-by-step explanation:
Operation:
Direct proportion
Explanation
8 * 48/6
8 * 8 = $64
Which relationship represents a function with a greater rate
of change than the function graphed?
Answers
The relationship that represents a function with a greater rate of change than the function graphed is given as follows:
A. y = 4x - 3.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b.
The slope represents the average rate of change of a linear function.
From the graph, when x increases by one, y decreases by two, hence the slope m is given as follows:
m = -2.
For function A, the function is defined as follows:
y = 4x + 3.
Hence the rate of change is given as follows:
m = 4, which is greater than -2.
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The following data summarizes results from 1000 pre-employment drug screening tests. If one of the test subjects is randomly selected, find the probability that the subject had a positive test result or a negative test result.
Positive Test Result Negative Test Result
Subject Uses Drugs 76 6
Subject Is Not a Drug User 95 823
P (subject had a positive test result or a negative test result)= simplify your answer.
Answers
Answer:
P (subject had a positive test result or a negative test result) = 1
Step-by-step explanation:
Given
The table above
Required
P (subject had a positive test result or a negative test result)
This is calculated as follows;
P (subject had a positive test result or a negative test result) =
P (subject had a positive test result) + P (subject had a negative test result)
Calculating P (subject had a positive test result)
This can be calculated by number of subjects with positive results divided by 1000
Only data from the column of subjects with positive results will be considered.
Number of Subjects = Subjects that uses drugs + Subjects that do not use drugs
Number of subjects = 76 + 95
Number of Subjects = 171
P (Subject had a positive test Result) = 171/1000
Calculating P (subject had a negative test result)
This can be calculated by number of subjects with negative results divided by 1000
Only data from the column of subjects with negative results will be considered.
Number of Subjects = Subjects that uses drugs + Subjects that do not use drugs
Number of subjects = 6 + 823
Number of Subjects = 829
P (Subject had a negative test Result) = 829/1000
Hence, P (subject had a positive test result or a negative test result) =
P (subject had a positive test result) + P (subject had a negative test result) = 171/1000 + 829/1000
P (subject had a positive test result or a negative test result) = (171 + 829)/1000
P (subject had a positive test result or a negative test result) = 1000/1000
P (subject had a positive test result or a negative test result) = 1
In the sequence { -5, -3 }, which of the following choices will be the next element?
1
0
-1
-2
Answers
Answer:
Step-by-step explanation:
The next element in the sequence is **-1**.
The sequence {-5, -3} is an arithmetic sequence, which means that the difference between any two consecutive elements is constant. In this case, the difference between -5 and -3 is 2, so the next element in the sequence must be -3 + 2 = **-1**.
The other choices are incorrect because they are not the next element in an arithmetic sequence with a difference of 2.
Find all points on the x-axis that are 12 units from the point (3,-6)
Answers
The points on the x-axis that are 12 units away from the point (3,-6) is found to be 3 ± \(6\sqrt{3}\).
What is the circle equation?r² = (x - h)² + (y - k)²is the standard equation for a circle, where (h,k) are the coordinates of the circle's center and r is the radius.
We must locate all points on the x-axis that are 12 units away from the starting point (3,-6).
Let these points be (x,0)
All points 12 units away from the point (3,-6) form a circle with a radius of 12 and a center at (3,-6). The formula would be as follows:
r² = (x - h)² + (y - k)²
12² = (x-3)² + (0+6)²
144 = (x-3)² + 36
(x-3)² = 108
x-3 = ± \(\sqrt{108}\)
x = ± \(\sqrt{108}+3\)
x = 3 ± \(6\sqrt{3}\)
Therefore, the points on the x-axis 12 units away from point (3,-6) is calculated as 3 ± \(6\sqrt{3}\).
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let’s find the sizes of unknown angle
m) p
(p+10)
y
x
z
(p+20)
Answers
Answer:
x= 50 degrees
y= 70 degrees
z= 60 degrees
p=50 degrees
p+10=60 degrees
p+20= 70 degrees
Step-by-step explanation:
all of the angles with p in it we know equal to 180 so we can just add them
(P+20)+(p)+(p+10)=180
3p+30=180
-30. -30
3p=150
/3. /3
p=50
Now that we know p we can find y,z,x
p+20=y
50+20=y
70=y
P=x
50=x
P+10=z
50+10=z
60=z
Hopes this helps please mark brainliest
Solution:
(i) In Fig (i),
x = y (Angles opposite to equal sides)
But x + y + 80° = 180° (Angles of a triangle)
⇒ x + x + 80° = 180°
⇒ 2x = 180° - 80° = 100°
⇒ x = 100°/2 = 50° ∴ y = x = 50°
Hence x = 50°, y = 50°
(ii) In Fig. (ii),
b = 40° (Angles opposite to equal sides)
But a + b + 40° = 180°
(Angles of a triangle)
⇒ a + 40° + 40° = 180°
⇒ a + 80° = 180°
⇒ a = 180° - 80° = 100°
Hence, a = 100° , b = 40°
(iii) In Fig. (iii)
x = y (Angles opposite to equal sides)
But x + y + 90° = 180°
(Angles of a triangle)
⇒ x + x + 90° = 180°
⇒ 2x + 90° = 180°
⇒ 2x = 180° - 90° = 90°
∴ x = 90°/2 = 45° ∴ y = x = 45°
Hence x = 45°, y = 45°
(iv) In Fig. (iv),
a = b (Angles opposite to equal sides)
But a + b + 80° = 180°
⇒ a + a + 80° = 180°
⇒ 2a = 180° - 80° = 100°
⇒ a = 100/2 = 50 ∴ b = a = 50°
x = a + 80°
(Exterior angle of a triangle is equal to sum of its opposite interior angles)
= 50° + 80° = 130°
Hence a = 50°, b = 50° and x = 130°
(v) In Fig. (v),
Let each equal angle of an isosceles triangle
be x,
then, x + x = 86° ⇒ 2x = 86°
⇒ x = 86° /2 = 43°
But p + x = 180° (Linear pair)
p + 43° = 180°
⇒ p = 180° - 43° ⇒ p = 137°
Hence, p = 137°
(vi) In Fig. (vi)
m = 35° (Angles opposite to equal sides)
But m + n + (60° + 35°) = 180°
(Angles of a triangle)
⇒ m + n + 95° = 180°
⇒ 35° + n + 95° = 180°
⇒ n + 130° = 180°
⇒ n = 180° – 130° = 50°
Hence m = 35°, n = 50°
(vii) In Fig. (vii),
x = 60° (Alternate angles)
Let each equal angle of an isosceles triangle
Be a then a + a + x = 180°
(Angles of a triangle)
2a + x = 180° ⇒ 2a + 60° = 180°
⇒ 2a = 180° – 60° = 120°
⇒ a = 120°/2 = 60°
y = x + a = 60° + 60° = 120°
Hence x = 60° and y = 120°
Identify the greatest common factor.
8y, -12x, 4xy
Answers
The greatest common factor, GCF, of 8y, -12x, and 4xy is 4
Determining the Greatest common factor (GCF) of expressionsFrom the question, we are to determine the greatest common factor of the given expressions.
The given expressions are 8y, -12x, and 4xy
To determine the greatest common factor, we will express each of the expressions as a product of their factors.
8y = 2 × 2 × 2 × y
-12x = 2 × 2 × 3 × -x
4xy = 2 × 2 × x × y
From above, we can observe that the greatest common factor is
2 × 2
= 4
Hence, the greatest common factor is 4
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Find the sum of -3x^2-4x+3−3x 2−4x+3 and 2x^2-x+32x 2 −x+3.
Answers
Answer:
28x^2-10x+9
Step-by-step explanation:
28x^2-10x+9
Choose an appropriate data display for the situation. Write the CAPITAL letter of your choice.
No repeats.
A. bar graph
_5.) the profits of a company over a year
B.circle graph
C. scatter plot
_6.) a person's income based on age
D. line graph
E. pictograph
7.) percent of student athletes in each sport
8.) the numbers and types of different species of fish at an aquarium
Answers
Answer:
LINE GRAPH : the profits of a company over a year
SCATTER PLOT : a person's income based on age
CIRCLE GRAPH : percent of student athletes in each sport
BAR GRAPH: the numbers and types ofdifferent species of fish at an aquarium
Step-by-step explanation:
The scatter plot are useful when trying to create a graphical relationship between two measured variables, like the camparison or relationship between age and income.
Line graph is used to monitor changes in a certain variable over time. Observing the fluctuation or variation in income over a certain period.
The circle graph represents the segmentation of a whole into groups or categories with each segment representing a proportion or percentage of the whole.
The bar graph also useful for categorization using vertical bars.
In ΔFGH, f = 6.6 cm, g = 3.3 cm and ∠H=6°. Find the length of h, to the nearest 10th of a centimeter.
Answers
Answer:
2.3
Step-by-step explanation:
deltamath
The length of h is 3.3 cm.
What is Cosine Formula?According to the Cosine Rule in trigonometry, the square of the length of any side of a given triangle equals the sum of the squares of the other sides minus twice the product of the other two sides multiplied by the cosine of the angle that separates them. Law of cosines and Cosine Formula are other names for the cosine rule.
Given:
f = 6.6 cm, g = 3.3 cm and ∠H=6.
Using Cosine Formula
cos <H= f² + g² - h² / 2fg
cos < H = (6.6)² + ( 3.3)² - h² / 2(6.6)(3.3)
cos 6 = 43.56 + 10.98 -h² / 43.56
43.56 cos 6 = 54.54 - h²
h= √ 54.54 - 43.56 cos 6
h= √11.13
h = 3.3 cm
Hence, the length of h is 3.3 cm.
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which point is on the line 4y-2x=0
Answers
Answer:
(2,1)
Step-by-step explanation:
The line 4y - 2x = 0 can be written in slope-intercept form as y = 1/2x.
So any point that satisfies this equation will lie on the line. For example, the point (2,1) satisfies the equation:
4(1) - 2(2) = 0
So the point (2,1) is on the line.
Please help as fast as possible
Answers
\(\rm Answer:\)
20.125%
To find the relative frequency, divide the frequency(f) by the total number of data values (n).\(\rm \# KiroToshiroComeback\)
The access code to a house’s security system consists of eight digits. How many different codes are available if each digit can not be repeated? Please show work!
Answers
Answer:
Consider one of eight positions separately from all others. There are 10 possible ways to choose
a digit to place on this position since there are ten digits from 0 to 9, and this choice is
independent of all other positions since each digit can be repeated and there is no restriction on
how to choose digits.
So, we have 8 positions and each one is filled by a digit in 10 ways independently from each other,
therefore the total number of possible codes equals to ways it can be done for each independent
position multiplied altogether. This is 10 × 10 × … × 10 = 108
(100 million).
Answer: 108 different codes.
Step-by-step explanation:
A triangle has sides with lengths of 13 meters, 18 meters, and 8 meters. Is it a right triangle?
Answers
Answer:
The Pythagorean Theorem describes the relationship among the three sides of a right triangle
\(a^{2} +b^{2} = c^{2} \\8^2+13^2=c^2=208 \\\sqrt{208}=14.4\\ 14.4 \neq 18\)--> not a right triangle
write the recuring deciml 0.15 as a fractions simplest form