Answers
Answer:
The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.
Explanation:
We'll use the below formula to determine the slope of the line;
\(m=\frac{y_2-y_1}{x_2-x_1}\)Let's go ahead and compute the slope between (4, 30) and (12, 90) using x1 = 4, y1 = 30, x2 = 12, and y2 = 90.
Substituting the above values into our formula, we'll have;
\(m=\frac{90-30}{12-4}=\frac{60}{8}=\frac{15}{2}=7.5\)Let's now compute the slope between (4, 30) and (10, 75) using x1 = 4, y1 = 30, x2 = 10, and y2 = 75.
Substituting the above values into our formula, we'll have;
\(m=\frac{75-30}{10-4}=\frac{45}{6}=\frac{15}{2}=7.5\)We can see from the above that the slope between (4, 30) and (12, 90) and (4, 30) and (10, 75) is equal and this is so because the relationship between money earned and hours worked, as we're told in the question, is linear. Therefore, it should have a constant slope.
Related Questions
Mitchell received a stipend at the beginning of the semester to buy textbooks. During the semester, he spent $430.84 on textbooks. He had $136.04 of the stipend left at the end of the semester.
x - $430.84 = $136.04
How much was Mitchell's stipend?
A.
$566.88
B.
$702.92
C.
$362.82
D.
$294.80
Answers
Answer:
$566.88
Step-by-step explanation:
$430.84 + $136.04 = $566.88
Answer:
294.80
Step-by-step explanation:
D
Morganton Company makes one product and it provided the following information to help prepare the master budget:
The budgeted selling price per unit is $60. Budgeted unit sales for June, July, August, and September are 8,600, 17,000, 19,000, and 20,000 units, respectively. All sales are on credit.
Thirty percent of credit sales are collected in the month of the sale and 70% in the following month.
The ending finished goods inventory equals 25% of the following month’s unit sales.
The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Each unit of finished goods requires 5 pounds of raw materials. The raw materials cost $2.40 per pound.
Thirty five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.
The direct labor wage rate is $14 per hour. Each unit of finished goods requires two direct labor-hours.
The variable selling and administrative expense per unit sold is $1.80. The fixed selling and administrative expense per month is $67,000.
5. If 96,250 pounds of raw materials are needed to meet production in August, how many pounds of raw materials should be purchased in July?
Answers
Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July
X pounds - 0.35 * X pounds = 9,500 pounds
Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.
To determine the number of pounds of raw materials that should be purchased in July, we need to calculate the raw materials production needs for August and then consider the inventory policies given in the information provided.
Each unit of finished goods requires 5 pounds of raw materials. The budgeted unit sales for August are 19,000 units. Therefore, the raw materials production needs for August would be 19,000 units multiplied by 5 pounds per unit, which equals 95,000 pounds.
The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Therefore, the desired ending raw materials inventory for July would be 10% of 95,000 pounds, which is 9,500 pounds.
To calculate the raw materials purchases for July, we need to consider the payment terms provided. Thirty-five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.
Let's assume the raw materials purchases for July are X pounds. Then the payment for 35% of X pounds will be made in July, and the payment for 65% of X pounds will be made in August.
The payment for raw materials purchases in July (35% of X pounds) will be:
0.35 * X pounds
The payment for raw materials purchases in August (65% of X pounds) will be:
0.65 * X pounds
Since the raw materials purchases for July should cover the desired ending raw materials inventory for July (9,500 pounds), we can set up the following equation:
Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July
X pounds - 0.35 * X pounds = 9,500 pounds
Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.
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find the volume of the rectangular prism WILL MARK BRAINLEST
Answers
Step-by-step explanation:
volume= l×w×h
1.1/3×1/2×2/3
=1/9
2. 3/4×1/8×13/16
=39/512
3. 1/12×7/8×1/4
=7/384
4. 3/2×1/7×7/8
=3/16
5. 1/5×9/10×2/3
=3/25
6.6/7×7/8×1/2
=3/8
Volume = w * h * l
1) V = 1/9 ft^3
Height (h) = 1/2 ft
Length (l) = 2/3 ft
Width (w) = 1/3 ft
Therefore,
= w * h * l
= 1/3 * 1/2 * 2/3
= 1/6 * 2/3
= 2/18
=> 1/9
Volume = 1/9 ft^3
2) V = 39/512 in^3
Height (h) = 13/16 in
Length (l) = 3/4 in
Width (w) = 1/8 in
Therefore,
= w * h * l
= 1/8 * 13/16 * 3/4
= 13/128 * 3/4
=> 39/512
Volume = 39/512 in^3
3) V = 7/384 cm^3
Height (h) = 1/12 cm
Length (l) = 7/8 cm
Width (w) = 1/4 cm
Therefore,
= w * h * l
= 1/4 * 1/12 * 7/8
= 1/48 * 7/8
=> 7/384
Volume = 7/384 cm^3
4) V = 1/12 cm^3
Height (h) = 2/3 cm
Length (l) = 7/8 cm
Width (w) = 1/7 cm
Therefore,
= w * h * l
= 1/7 * 2/3 * 7/8
= 2/21 * 7/8
= 14/168
= 1/12
Volume = 1/12 cm^3
5) V = 3/25 m^3
Height (h) = 1/5 m
Length (l) = 2/3 m
Width (w) = 9/10 m
Therefore,
= w * h * l
= 9/10 * 1/5 * 2/3
= 9/50 * 2/3
= 18/150
= 6/50
=> 3/25
Volume = 3/25 m^3
6) V = 3/8 yd^3
Height (h) = 1/2 yd
Length (l) = 6/7 yd
Width (w) = 7/8 yd
Therefore,
= w * h * l
= 7/8 * 1/2 * 6/7
= 7/16 * 6/7
= 42/112
=> 3/8
Volume = 3/8 yd^3
Pat collected 54 cans of food for a food drive. This is 6 times as many cans
as Anne collected. How many cans did Anne collect? Select the correct
solution method below, using x to represent the number of cans Anne
collected
Answers
Answer:
54/6= X
54/6= 9
54 divided by 6 equals X
X = 9
FOR 100 POINTS!!!!!!!!!!!
A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:
Likes hamburgers Does not like hamburgers Total
Likes burritos 29 41
Does not like burritos 54 135
Total 110 205
Part A: What percentage of the survey respondents liked neither hamburgers nor burritos? Show all work. (3 points)
Part B: What is the marginal relative frequency of all customers who like hamburgers? Show all work. (3 points)
Part C: Is there an association between liking burritos and liking hamburgers? Use ratios of joint and marginal frequencies to support your answer. (4 points)
Answers
Answer:
Part A:
To find the percentage of survey respondents who liked neither hamburgers nor burritos, we need to calculate the frequency in the "Does not like hamburgers" and "Does not like burritos" categories.
Frequency of "Does not like hamburgers" = Total in "Does not like hamburgers" category = 135
Frequency of "Does not like burritos" = Total in "Does not like burritos" category = 54
Total respondents who liked neither hamburgers nor burritos = Frequency of "Does not like hamburgers" + Frequency of "Does not like burritos" = 135 + 54 = 189
Percentage of survey respondents who liked neither hamburgers nor burritos = (Total respondents who liked neither hamburgers nor burritos / Total respondents) x 100
Percentage = (189 / 205) x 100 = 92.2%
Therefore, 92.2% of the survey respondents liked neither hamburgers nor burritos.
Part B:
To find the marginal relative frequency of all customers who like hamburgers, we need to divide the frequency of "Likes hamburgers" by the total number of respondents.
Frequency of "Likes hamburgers" = 110 (given)
Total respondents = 205 (given)
Marginal relative frequency = Frequency of "Likes hamburgers" / Total respondents
Marginal relative frequency = 110 / 205 ≈ 0.5366 or 53.66%
Therefore, the marginal relative frequency of all customers who like hamburgers is approximately 53.66%.
Part C:
To determine if there is an association between liking burritos and liking hamburgers, we can compare the joint and marginal frequencies.
Joint frequency of "Likes hamburgers" and "Likes burritos" = 29 (given)
Marginal frequency of "Likes hamburgers" = 110 (given)
Marginal frequency of "Likes burritos" = 70 (calculated by adding the frequency of "Likes burritos" in the table)
To assess the association, we compare the ratio of the joint frequency to the product of the marginal frequencies:
Ratio = Joint frequency / (Marginal frequency of "Likes hamburgers" x Marginal frequency of "Likes burritos")
Ratio = 29 / (110 x 70)
Ratio ≈ 0.037 (rounded to three decimal places)
Rewrite 2/5 : 1/15 as a unit rate
6.1
Answers
Answer:
Step-by-step explanation:
\(\frac{2}{5} : \frac{1}{15}\\\)
LCM of the denominator = LCM ( 5 , 15 ) = 15
∴ Now we have to multiply LCM by both the fractions , we get ,
\(\frac{2}{5}.15 : \frac{1}{15}.15\\ 6 : 1\)
PLEASE HELP FIRST ANSWER IS THE BRAINLIEST ANSWER!!!
Which graph represents (x,y) that make the equation y = 2x true?
Answers
Step-by-step explanation:
There are no choices available, so here is a graph of that equation. Simply compare it to the answer.
Please help soon need bad
Answers
The difference between the interquartile range of Matt's and Linda's remaining vacation days is 1.5.
The interquartile range will be calculated through the formula -
\( Q_{3}\) = \( Q_{2}\) - \( Q_{1}\)
Firstly calculating \( Q_{3}\) for Matt
\( Q_{2}\) = (4+5)/2
\( Q_{2}\) = 4.5
\( Q_{3}\) = (8+12)/2
\( Q_{3}\) = 10
Finding interquartile range now -
\( Q_{3}\) = 10 - 4.5
\( Q_{3}\) = 5.5
Now, performing calculation for Linda
\( Q_{2}\) = (0+10)/2
\( Q_{2}\) = 5
\( Q_{3}\) = (11+13)/2
\( Q_{3}\) = 12
Finding interquartile range now -
\( Q_{3}\) = 12 - 5
\( Q_{3}\) = 7
The difference between the interquartile range of Linda and Matt will be calculated as:
Difference = Interquartile range of Linda - Interquartile range of Matt (as we see Linda has greater interquartile range than Matt)
Difference = 7 - 5.5
Difference = 1.5
Hence, the difference between interquartile range of days is 1.5.
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A rectangle has a length 3x + 1 of and a width of Write an expression for the 3-9
perimeter of the rectangle.
Answers
The expression for the perimeter is P = 12x - 16
How to write an expression for the perimeter?The given parameters are
Length = 3x + 1
Width = 3x - 9
The perimeter is calculated as
P = 2 * (Width + Length)
So, we have
P = 2 * (3x + 1 + 3x - 9)
Evaluate
P = 2* (6x - 8)
Expand
P = 12x - 16
Hence, the expression for the perimeter is P = 12x - 16
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Write the equation in function form:
8x + 4y = 20
Answers
Function form means just replace y with f(x).
So given 8x + 4y = 20:
Subtract 8x
4y = 20 - 8x
Divide both sides by 4
y = 5 - 2x
9876x 96- 703
WILL MARK BRAINLEST
Answers
Answer:
947393
Step-by-step explanation:
Given the following diagram, are and opposite rays? yes no
Answers
Answer:
Where is the diagram?
Step-by-step explanation:
Answer:
OC and OE are apposite rays so the Answer is yes
what is the slope of -3 up to positive 3
Answers
The line or points has a slope value of -1
How to determine the slope of the point?From the question, we have the following statement that can be used in our computation:
The slope of -3 up to positive 3
For a start, we represent the above parameters using an ordered pair
The ordered pair is represented as
(x, y) = (-3, 3)
The slope of the point is then calculated using the following slope formula
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (-3, 3) and (0, 0)
The coordinate (0, 0) represents the origin
Substitute the known values in the above equation
So, we have the following equation
Slope = (3 - 0)/(-3 - 0)
Evaluate the difference
So, we have the following equation
Slope = (3)/(-3)
Evaluate the quotient
So, we have the following equation
Slope = -1
Hence, the slope is -1
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Simplify.
(x6y3)−2x−5y−8
Answers
Answer:
18xy-2x-5y-8
Step-by-step explanation:
Просто умножьте,то что было в скобках
Solve for y. 2(y-2) -6y=-28
Answers
Answer:
y = -8
Step-by-step explanation:
2(y-2)- 6y-28 = 0
2y - 4 -6y - 28 = 0
-4y = 32
y = -8
3=5/(2-X), solve for x
Answers
The solution for x in the equation 3 = 5/(2 - x) is 11/3
How to determine the solution for x in the equationFrom the question, we have the following parameters that can be used in our computation:
3 = 5/(2 - x)
Cross multiply the equation
so, we have the following representation
3(2 - x) = 5
This gives
2 - x = 5/3
So, we have
x = 2 + 5/3
Evaluate the sum of the like terms
x = 11/3
Hence, the solution for x in the equation is 11/3
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Anna built a prism in the shape of a cube out of wood
Answers
The volume of the two prisms compares that the volume of prism B will double.
We are given that side length of the cube measured 18 inches in length. She built another prism (Prism B) with the same dimensions as the cube, except she doubled its height.
When the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross-section is same as its base, then its volume is:
V = B x h
So, the volume of the two prism A= V = B x h
V = 18 x h = 18h
the volume of the two prism B= V = B x h
V = 18 x 2h = 36h
So, the volume of prism B will double thus the correct option is B.
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The complete question is;
Anna built a prism (Prism A) out of a cube of wood. The side length of the cube measured 18 inches in length. Anna built another prism (Prism B) with the same dimensions as the cube, except she doubled its height.
How does the volume of the two prisms compare?
The volume of prism B will triple.
The volume of prism B will double.
The volume of prism B will decrease.
The volume of prism B will be cut in half.
What is 30% of $180.00?
Answers
Answer:
$54.00
Step-by-step explanation:
30% can be written at 0.30
0.30 x $180 = $54.00
What is the value of the expression below when y=2 AND z=8?
8y-z
Answers
Answer:
Step-by-step explanation:
A person follows the recipe proportions and uses
14
cups of baking soda. Exactly how many quarts of white vinegar will the person use?
10
1
2
quarts
10 1 2 quarts
13
quarts
13 quarts
24
1
2
quarts
24 1 2 quarts
27
quarts
Answers
Step-by-step explanation:
Ans is 12ml per cup times 30
S vi) The temperature in Gulmerg in Kashmir was-10°C in January and it rose by 44°c to reach the maximum temperature during summer. The maximum temperature during summer in that year was
Answers
The maximum temperature during summer in that year was 34°C.
It's not possible for the maximum temperature in Gulmarg, Kashmir to rise by 44°C during the summer.
A temperature rise of that magnitude would be extremely unusual and potentially dangerous.
However, assuming that the question meant to ask about the difference between the minimum temperature in January and the maximum temperature in summer, we can proceed with the calculation.
The minimum temperature in January was -10°C, and if we add 44°C to it, we get:
-10°C + 44°C = 34°C
Therefore, the maximum temperature during summer in that year was 34°C.
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Graph the equation 4x + 3y = −24. What is the slope of the line?
Answers
Answer:
-4/3 is the slope
Step-by-step explanation:
Look at the picture. Graph will look something like that.
Triangle PQR is a right triangle.
Triangle P Q R. Angle P is 90 degrees, angle Q is x degrees, angle R is 2 x degrees.
Which equation could be used to find the measure of Angle Q?
Answers
Answer:
90 + 2 = 92
180 - 92 = 88
Angle Q = 88
Step-by-step explanation:
All a triangles, angles should equal to 180.
Answer:
180 = 3 x + 90
Step-by-step explanation:
Hope it helps.Give me a brainliest please.
m + 3.7 < 9.1
Algebra
Answers
Answer:
m < 5.4
Step-by-step explanation:
m + 3.7 < 9.1
Subtract 3.7 on both sides
m < 5.4
the answer for these questions
Answers
The triangles are similar by SSS congruence of triangles.
What is SSS congruence of triangles?
The two triangles are congruent if the three sides of one triangle are the same as the corresponding three sides (SSS) of the other triangle.
We are given two triangle ABC and PQR.
In order to see whether these are similar or not, we will use the SSS congruence of triangles.
The ratio of sides are:
⇒AB : PQ = 8 : 6
⇒AB : PQ = 4 : 3
Similarly,
⇒BC : QR = 12 : 9
⇒BC : QR = 4 : 3
Similarly,
⇒AC : PR = 12 : 9
⇒AC : PR = 4 : 3
Since, the ratio of all the sides is same so, the triangles are similar.
Hence, the triangles are similar by SSS congruence of triangles.
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Since, there are multiple questions so, the question answered above is attached below
6 to the 3rd power ÷ 4 + 2 x 9(32 x 8 – 17 x 4).
HELP
Answers
Answer:
6 to the 3rd power ÷ 4 + 2 ×9(256-17×4)
6 to the 3rd power ÷ 4 + 2 ×9(256-68)
6 to the 3rd power ÷ 4 + 2 ×9×188
216 ÷ 4 + 2 × 1692
216 ÷ 4 + 3384
54 + 3384
=3438
Yolanda used her graphing calculator to graph y= 3x. Her graph is shown at right. Do you think she
did it correctly? Explain.
Answers
The ratio 81:108 in the simplest form
Answers
The ratio 81:108 can be simplified to 9:13. To find the simplest form of the ratio, you can divide both numbers by the greatest common factor. The greatest common factor of 81 and 108 is 9, so you can divide both numbers by 9 to get the simplified ratio of 9:13.
juanita is evaluating four television brands using four criteria: price, quality, screen size, and features. Juanita assigns 20% importance to price, 30% importance to quality, 30% importance to screen size, and 20% importance to features. She rates the TV brands as follows:Samsung:Price (20%): 5Quality (30%): 8Screen Size (30%): 8Features (20%):9Sony: Price (20%): 4Quality (30%): 8Screen Size (30%): 8Features (20%): 9LG:Price (20%): 8Quality (30%): 6Screen Size (30%): 6Features (20%): 5Vizio:Price (20%): 9Quality (30%): 5Screen Size (30%): 4Features (20%): 4Based on the multi-attribute model, which television brand does Juanita prefer?
Answers
Junita prefers Samsung Television brand with score of 7.6. A multi-attribute model is a way of evaluating products or services based on multiple attributes or characteristics.
In this scenario, Juanita is evaluating four television brands based on four criteria: price, quality, screen size, and features. She assigns a weight to each criteria, indicating its importance to her, with price having 20% importance, quality having 30% importance, screen size having 30% importance, and features having 20% importance. She then rates each brand on each criteria and calculates an overall score for each brand using the weights and ratings. Based on her evaluations, Juanita prefers the Samsung brand as it has the highest overall score.
Based on the multi-attribute model, Juanita prefers the Samsung television brand. Here's the calculation:
Samsung: \(5 *0.20 + 8 * 0.30 + 8 *0.30 + 9 * 0.20 = 1 + 2.4 + 2.4 + 1.8 = 7.6\)
Sony: \(4 * 0.20 + 8 * 0.30 + 8 * 0.30 + 9 * 0.20 = 0.8 + 2.4 + 2.4 + 1.8 = 7.4\)
LG: \(8 *0.20 + 6 *0.30 + 6 * 0.30 + 5 * 0.20 = 1.6 + 1.8 + 1.8 + 1 = 6.2\)
Vizio: \(9 * 0.20 + 5 * 0.30 + 4 * 0.30 + 4 * 0.20 = 1.8 + 1.5 + 1.2 + 0.8 = 5.3\)
Juanita prefers the Samsung television brand with a score of 7.6 compared to the other brands.
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help me please!!!!!!!1
Answers
Answer: 340
Step-by-step explanation:
10 x 5 = 50
10 x 5 = 50
10 x 8 = 80
10 x 8 = 80
8 x 5 = 40
8 x 5 = 40
50 + 50 + 80 + 80 + 40 + 40
100 + 160 + 80
340