Vanessa and Tia buy a printer. Vanessa pays $90 for her printer and each replacement ink cartage cost $25. The equation T=80+20c can be used to find the total cost, T, Tia pays for her printer plus C number of ink cartridges. Who buys the less expensive printer
Answers
Answer:
Vanessa, she only needs to buy one ink cartridge according to the question
where Tia has to buy more? I need more info on the question
Step-by-step explanation:
Tia bought less expensive printer.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that Vanessa and Tia buy a printer. Vanessa pays $90 for her printer and each replacement ink cartage cost $25. The equation T = 80 + 20c can be used to find the total cost, T, Tia pays for her printer plus C number of ink cartridges.
Equation that represents the cost for Vanessa's printer is -
V = 90 + 25c
Equation that represents the cost Tia's printer is -
T = 80 + 20c
For {c} = 1, the cost for Vanessa's printer is -
V(1) = $115
For {c} = 1, the cost for Tia's printer is -
T(1) = 80 + 20 = $100
Therefore, Tia bought less expensive printer.
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Related Questions
Merone Company allocates materials handling cost to the company's two products using the below data:
Modular Homes Prefab Barns
Total expected units produced 5,900 8,900
Total expected material moves 590 190
Expected direct labor-hours per unit 790 290
The total materials handling cost for the year is expected to be $325,890.
If the materials handling cost is allocated on the basis of material moves, the total materials handling cost allocated to the modular homes is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$246,507.90
$160,629.00
$213,514.00
$238,382.50
Merone Company allocates materials handling cost to the company's two products using the below data:
Modular Homes Prefab Barns
Total expected units produced 6,000 9,000
Total expected material moves 600 200
Expected direct labor-hours per unit 800 300
The total materials handling cost for the year is expected to be $300,000.
If the materials handling cost is allocated on the basis of direct labor-hours, the total materials handling cost allocated to the prefab barns is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$105,000.00
200,000.00
$150,204.00
$108,000.00
Spates, Incorporated, manufactures and sells two products: Product H2 and Product E0. Data concerning the expected production of each product and the expected total direct labor-hours (DLHs) required to produce that output appear below:
Expected Production Direct Labor-Hours Per Unit Total Direct Labor-Hours
Product H2 190 6.9 1,311
Product E0 190 5.9 1,121
Total direct labor-hours 2,432
The company’s expected total manufacturing overhead is $270,968.
If the company allocates all of its overhead based on direct labor-hours, the overhead assigned to each unit of Product H2 would be closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$222.84 per unit
$126.48 per unit
$768.80 per unit
$96.36 per unit
Doles Corporation uses the following activity rates from its activity-based costing to assign overhead costs to products.
Activity Cost Pools Activity Rate
Setting up batches $ 70.72 per batch
Processing customer orders $ 27.78 per customer order
Assembling products $ 12.81 per assembly hour
Data concerning two products appear below:
Product K52W Product X94T
Number of batches 66 53
Number of customer orders 46 31
Number of assembly hours 419 162
Required:
How much overhead cost would be assigned to each of the two products using the company's activity-based costing system? (Round your intermediate calculations and final answers to 2 decimal places.)
Answers
The total materials handling cost allocated to the modular homes is $246,372.84.
The total materials handling cost allocated to the Prefab Barns is closest to $108,000.
What is the total materials handling cost allocated?To allocate materials handling cost based on material moves, we must determine proportion of material moves for each product and then apply that proportion to the total materials handling cost.
Proportion of material moves for Modular Homes:
= (Total expected material moves for Modular Homes) / (Total expected material moves for both products)
= 590 / (590 + 190)
= 0.756
Total materials handling cost allocated to Modular Homes:
= Proportion of material moves for Modular Homes * Total materials handling cost
= 0.756 * $325,890
= 246 372.84
= $246,372.84.
To allocate the materials handling cost based on direct labor-hours, we need to determine proportion of direct labor-hours for each product.
For Modular Homes:
Total direct labor-hours for Modular Homes:
= 6,000 units * 800 hours/unit
= 4,800,000 hours
For Prefab Barns:
Total direct labor-hours for Prefab Barns:
= 9,000 units * 300 hours/unit
= 2,700,000 hours
Total direct labor-hours for both products:
= 4,800,000 hours + 2,700,000 hours
= 7,500,000 hours
Proportion of direct labor-hours for Prefab Barns:
= 2,700,000 hours / 7,500,000 hours
= 0.36
Allocated materials handling cost for Prefab Barns:
= Proportion of direct labor-hours for Prefab Barns * Total materials handling cost
= 0.36 * $300,000
= $108,000.
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You give a test to 100 students and determine the standard deviation of the scores. After grading the test, you realize that the 10 students with the highest scores did exceptionally well. You decide to award these 10 students a bonus of 5 more points each. The standard deviation of the new score distribution will be _______________________(less than, greater than or the same as) that of the original score distribution
Answers
Answer:
greater than
Step-by-step explanation:
The standard deviation of a distribution σ = \(\sqrt{sum(x - mean)^2/ n}\)
where x is the score of each student
Adding 5 to 10 student scores would be = x+5 - mean
increasing the scores of the 10 students by 5, which in turn increases the standard deviation of the distribution.
what is the answer to 1200 x 4500 = ?
Answers
Explanation :
Answer:
5400000
Step-by-step explanation:
To make it easier.
12 x 45, then add your four zeros on your answer!
Hope this helps!
Yours Truely, TheAnimeCatUwU
Let f(x)= 4x2-3 and let g(x)= 2x+3. Find (fg)(3).
(f+g)(3)=
Answers
The value of (f . g) (3) is 594 and (f + g) (3) is 42 when function is f(x) = 4x² - 3 and g(x) = 2x + 3.
i) (f . g) (3)
(f . g) (x) = f(x) . g(x)
(f . g) (3) = f(3) . g(3)
= 4(3)² - 3 * 2(3) + 3
= 36 - 3 * 6 + 3
= 33 * 18
(f . g) (3) = 594
The value of (f . g) (3) is 594 when function is f(x) = 4x² - 3 and g(x) = 2x + 3
ii) ( f + g )( 3 )
( f + g )( x ) = f ( x ) + g ( x )
( f + g )( 3 ) = f (3 ) + g ( 3 )
= 4(3)² - 3 + 2(3) + 3
= 4(9) + 6
= 36 + 6
( f + g )( 3 ) = 42
The value of (f + g) (3) is 42 when function is f(x) = 4x² - 3 and g(x) = 2x + 3.
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about how much farther did she bike on wensday than on thursday
Answers
Answer:
i d k there's no question to answer
Step-by-step explanation:
What value of k will translate the graph of f(x) = 5x + 6 down by 1 when replaced by f(x) + k?
Answers
Step-by-step explanation:
"down by one" means that the y values (the function result values) are all decreased by 1.
so, k = -1
Determine which of the values below could be used to clear fractions in the equation.11/15x-7/20=-2
Answers
We have to solve for x:
\(\frac{11}{15}x-\frac{7}{20}=-2\)To solve we start by grouping the independent terms together (the terms that do not depend on x):
\(\begin{gathered} \frac{11}{15}x=-2+\frac{7}{20} \\ \frac{11}{15}x=\frac{-2\cdot20+7}{20} \\ \frac{11}{15}x=\frac{-40+7}{20} \\ \frac{11}{15}x=\frac{-33}{20} \end{gathered}\)Now, we can multiply both sides by 15/11 in order to clear x:
\(\begin{gathered} \frac{11}{15}x\cdot\frac{15}{11}=-\frac{33}{20}\cdot\frac{15}{11} \\ x=-\frac{33}{11}\cdot\frac{15}{20} \\ x=-3\cdot\frac{3}{4} \\ x=-\frac{9}{4} \end{gathered}\)Answer: x = -9/4
Find the size of angle x. ✓ 124 x
Answers
180=124+x
Then you move x to the other said making this problem:
X=180-124
Then you subtract them and the answer will be:
X=56 degrees.
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of business travelers follow.
2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9
6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9
7 10 7 9 9 9 9
Required:
Develop a confidence interval estimate of the population mean rating for Miami.
Answers
Answer: 6.8622 ; 8.1778
Step-by-step explanation:
Given the data:
2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9
6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9
7 10 7 9 9 9 9
Assume a confidence interval of 95%
Using calculator :
The mean of the distribution (m) = 7.52
Standard deviation (s) = 2.314
Sample size),
Obtaining the t score ;
Degree of freedom (df) = (n-1) = 50 - 1 = 49
t(1-α/2), 49 = t(0.025, 49) = 2.01 ( t distribution table)
Margin of Error :
2.01 * s/√n = 2.01 * 2.314/7.0710678
Margin of Error (E) = 0.6578
Confidence interval:
(Mean - E) ≤μ≤ (mean + E)
(7.52 - 0.6578) ≤μ≤ (7.52 + 0.6578)
6.8622 ≤μ≤ 8.1778
What is the area of the figure?
Answers
Answer:
The answer is 88 square inches. (A)
Step-by-step explanation:
The shape is broken up into 2 right triangle sand 2 rectangles.
The area of the triangle is 12. You subtract the way it is cut in half where the dashed line that sais (4 in.) so you take 7 - 4 = 3. Now that the 3 is left meaning it is the height of the triangle. and then the bashed line that says
(8 in.) is the base of the triangle. Multiply that and it is 24 but you have to divide by 2 which gives you 12. since there are "Identical" triangles what I do is add 12 which will give you 24 again bc of both triangles combined.
As for the rectangle is both dashed lines (4 in. And 8 in.) multiply it gives you 32, again since here is another "Identical" rectangle you add 32 + 32 = 64 (Both rectangles combined)
Lastly add 64 + 24 = 88
which statement is true about the graphed function? F(x) < 0 over the intervals (–[infinity], –2.5) and (–0.75, 0.75).
F(x) > 0 over the intervals (–[infinity], –2.5) and (–0.75, 0.75).
F(x) < 0 over the intervals ( –2.5, –0.75) and (–0.75, [infinity]).
F(x) > 0 over the intervals ( –2.5, –0.75) and (0.75, [infinity]).
Answers
F(x) > 0 over the intervals (–∞, –2.5) and (–0.75, 0.75).
Lets explain the graph to answer the problem
- When we ask about f(x) we means the values of y
- f(x) > 0 means the graph is over the x-axis because over the x-axis
y is positive
- f(x) < 0 means the graph is under the x-axis because under the x-axis
y is negative.
* Lets describe each part of the graph
- The graph intersect the x-axis at :
x = -2.5 , x = -0.75 , x = 0 , x = 0.75
- The graph is over the x-axis between -∞ and -2.5 and between
-0.75 and 0.75
At x = -2.5 f(x) = 0 , at x = -0.75 f(x) = 0 , at x = 0.75 f(x) = 0
∴ x = (-∞ , -2.5) and (-0.75 , 0.75)
∴ f(x) > 0 over the intervals (-∞ , -2.5) and (-0.75 , 0.75)
- The graph is under the x-axis between -2.5 and -0.75 and between
0.75 and ∞
At x = -2.5 f(x) = 0 , at x = -0.75 f(x) = 0 , at x = 0.75 f(x) = 0
∴ x = (-2.5 , -0.75) and (0.75 , ∞)
∴ f(x) < 0 over the intervals (-2.5 , -0.75) and (0.75 , ∞)
* The true statement in the answer is;
F(x) > 0 over the intervals (–∞, –2.5) and (–0.75, 0.75).
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what is the median of numbers 20,35,28,15,22,36,26
Answers
The median of the given data set is 26.
What is the median?In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.
Given the data set, we need to find the median.
So, let's arrange the numbers from smallest to largest in order to find the median.
\(\sf 15,20,22,26,28,35,36.\)
\(\text{Median}=\sf 26\)
Therefore, the median of the data set is 26.
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Graph the system of equations on your graph paper to answer the question.
{y=x−4y=−x+6
What is the solution for this system of equations?
Answers
Answer: (5 , 1)
Step-by-Step explanation:
hihi your problem is a system of question y = x-4 and y = -x+6 okay so graph them both normally and then find the point where they intersect which is gonna be a coordinate point, and that's your solution !!
y = x-4
the y intersect is going to be 4
the slope is a positive 1 , going up to the right, through the positive quadrant, line is facing to the right
y = -x+6
the y intersect is going to be -6
the slope is going to be a -1 , following up the opposite way the line is going to face the left
once you graph them both you'll see the point of intersection, the solution
make sure you drew your lines very clearly !!!!
the solution is x = 5 and y = 1 which is also (5 , 1)
hopefully this was helpful !
A plastic bin contains red, yellow, and green key chains. Out of 350 key chains, 10% are yellow. Of the remaining key chains, 3/5 are green. How many red key chains are inside the bin?
Answers
Intelligence Quotient (IQ) scores are often reported to be normally distributed with μ=100.0 and σ=15.0. A random sample of 51 people is taken. Step 1 of 2 : What is the probability of a random person on the street having an IQ score of less than 98? Round your answer to 4 decimal places, if necessary.
Answers
Answer:
0.4470 = 44.70% probability of a random person on the street having an IQ score of less than 98.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
What is the probability of a random person on the street having an IQ score of less than 98?
This is the pvalue of Z when X = 98. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{98 - 100}{15}\)
\(Z = -0.1333\)
\(Z = -0.1333\) has a pvalue of 0.4470
0.4470 = 44.70% probability of a random person on the street having an IQ score of less than 98.
Find the lateral surface area show your work
Answers
On solving the provided question, we cans ay that lateral surface area of cuboid = 2h(l+b) = 2*2(5+4) = 36 cm sq.
what is cuboid?A cuboid is a solid or three-dimensional form in geometry. A cuboid is a convex polyhedron having 8 vertices, 12 sides, and 6 rectangular faces. Another name for a cuboid is a cuboid. A cube is a cuboid with six square faces. Boxes include things like books and bricks. The following are the key variations between cubic and cubic: In contrast to a cube, which has rectangular faces, a cube has six equally sized square faces. Even though the cube and cuboid structures have a similar appearance, they differ in some ways in terms of side length, diagonal, and area.
lateral surface area of cuboid = 2h(l+b)
h = 2cm
l = 5cm
b = 4cm
lateral surface area of cuboid = 2h(l+b) = 2*2(5+4) = 36 cm sq.
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(2a -36)
\((2a - {36)}^{2} \)
Answers
2
a
−
5
a
−
5
Simplify:
Which of the following statements are true?
statement 1: a parallelogram is always a rectangle.
statement 2: a square is always a rhombus.
statement 3: a rectangle is always a square.
Answers
A square is always a rhombus. Statement 2 is correct
What is Parallelogram ?A parallelogram is a type of polygon which having 2-D geometrical shape whose sides are parallel to each other.
Statement 1: Not every interior angle of a parallelogram is a right angle. As a result, it does not fulfill the rectangle's property.
Statement 2: A square is a shape with equal sides and perpendicular diagonals. Therefore, square satisfies every characteristic of a rhombus.
Statement 3: Not all of the sides of a rectangle are equal. As a result, it can't be square.
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Is 2x - 3 = -7 x + 2 > y a true or false statement?
Answers
Rewrite the each of the following statements using exponents instead of logarithms.
log8(b)=x is equivalent to:
log8.6(4.8)=s is equivalent to:
logx(y)=4 is equivalent to:
Answers
Is
8^x=b
8.6^s=4.8
x^4=y
Which of the following options correctly represents the complete factored
form of the polynomial F(x) = x^3- x2 - 4x-6?
A. F(x) - (x - 3)(x + 1 + I)(x+1- I)
B. F(x) = (x - 3)(x+1+I)(x-1-I)
C. F(x) = (x+3)(x + 1)(x - 1)
D. F(x) - (x+3)(x+1+I)(x +1-I )
Answers
The completely factored form for the given algebraic expression is f(x) = (x-3)(x+1+i)(x+1-i).
What is a completely factored polynomial?A completely factored polynomial is a polynomial that can no longer be further simplified. A completely factored polynomial can be expressed as a root of its own equation.
Given that:
f(x) = x³ - x² - 4x - 6
To express this as a factored polynomial using the rational:
f(x) = (x-3)(x²+2x+2)
f(x) = (x-3)(x+1+i)(x+1-i)
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Put the following equation of a line into slope-intercept form, simplifying all
fractions.
X + 5y = -20
Answers
Answer:
\(y = \frac{-1}{5}x -4\)
Step-by-step explanation:
\(x + 5y = -20\\\\5y = -x - 20\\\\y = \frac{-1}{5}x - 4\)
4(6)^x 864 for x answer for x
Answers
Answer:
x = 3
Step-by-step explanation:
Maybe you want the value of x such that ...
4(6^x) = 864
SolutionDividing by 4 gives ...
6^x = 216
You may know that 216 = 6^3. Using that, we can equate exponents:
6^x = 6^3
x = 3
Alternatively, we can use logarithms to find x. Taking logs gives ...
x·log(6) = log(216)
x = log(216)/log(6) = 3
Random simple service of voters were taken in three different regions of a county that has a voter population of 55,000. On average 42 out of 100 voters supported issue seven and 58 oppose it estimated number of voters in the county who support the issue.
Answers
Answer: 23100 voters
Step-by-step explanation:
42*55000=2310000
2310000/100=23100 voters
In each of 12 races, the Democrats have a 60% chance of winning. Assume the races are independent of each other. Round your answers to three decimal places.a. What characteristics of this scenario indicate that you are working with Bernoulli trials? (3 points)b. What is the mean and standard deviation of the number of races won? (3 points)c. What is the probability that the Democrats will win the 7th race? (1 point)d. What is the probability that the Democrats will win all 12 races? (2 points)2
Answers
a)Since this scenario is about winning or losing an election, i.e., failure or success. Thus, this experiment has a Bernoulli distribution.
b)Also notice that since the elections are performed 12 times, the distribution of the whole experiment has a Binomial distribution. In this case, let p be the probability that the Democrats win. Then, we have the following:
\(\begin{gathered} p=0.60 \\ 1-p=0.4 \\ n=12 \end{gathered}\)then, the mean and the standard deviation are:
\(\begin{gathered} \mu=n\cdot p=12\cdot0.60=7.2 \\ \sigma=\sqrt[]{np(1-p)}=\sqrt[]{12\cdot0.60\cdot0.4}=\sqrt[]{2.88}=1.7 \end{gathered}\)c)To find the probability that the democrats will win the 7th race, we have to use the binomial probability function:
\(P(X=x)=\binom{12}{x}(0.6)^x(0.4)^{12-x}\)in this case, x = 7, then we have:
\(P(X=7)=\binom{12}{7}(0.6)^7(0.4)^{12-7}=792(0.6)^7(0.4)^5=0.23\)then, the probability that they win the 7th race is 23%
d) Finally, for the probability that the democrats win the 12 races, we can calculate with x = 12 to get:
\(P(X=12)=\binom{12}{12}(0.6)^{12}(0.4)^{12-12}=(0.6)^{12}=0.002\)therefore, the probability that they win all the races is 0.2%
A bag of flour weighs 50 2/3 kg what is the total weight of 10 bag
Answers
Answer:
\(506 \frac{2}{3} kg\)
Step-by-step explanation:
50 2/3=
50×2+3/3
=152/3 kg
next 152/3 ×10
=1520/3
=506 2/3
what is the answer to this ?
Answers
Answer:
31 and 13
Step-by-step explanation:
let the 2 numbers be x and y , with x > y , then
x + y = 44 → (1)
y = x - 18 → (2)
Substitute y = x - 18 into (1)
x + x - 18 = 44
2x - 18 = 44 ( add 18 to both sides )
2x = 62 ( divide both sides by 2 )
x = 31
and
y = 31 - 18 = 13
The 2 numbers are 31 and 13
math
What’s the answer
5 3/7 - 2 1/5
Answers
Answer:3.22
Step-by-step explanation:
Hope this helps
See attachment for math work and answer.
I need help I don’t understand this question. DC=8.5, DW=6.
Answers
Recall that the diagonals of a square bisect each other, therefore:
\(BW=DW=6.\)The diagonals are congruent, therefore:
\(AC\cong DB=2DW=2(6)=12.\)To compute DA we use the fact that the figure is a square:
\(DA=DC=8.5.\)Now, we know that the angles at the vertices are right angles, therefore:
\(m\angle ABC=90.\)To determine the measure of angles ABD, and DCA we use the trigonometric function sine:
\(\begin{gathered} sin(\angle ABD)=\frac{DA}{DB}=\frac{\sqrt{287}}{2(12)}, \\ sin(\angle DCA)=\frac{DA}{CA}=\frac{\sqrt{287}}{2(12)}. \end{gathered}\)Therefore:
\(m\angle ABD=m\angle DCA\approx45^{\circ}.\)Finally, to determine the measure of angle DWA, we use the fact that the figure is a square, therefore the diagonals bisect each other at 90° angles.
Answer: \(\begin{gathered} BW=6, \\ AC=12, \\ DA=8.5, \\ m\angle DWA=90^{\circ}, \\ m\angle ABC=90^{\circ}, \\ m\angle ABD=45^{\circ}, \\ m\angle DCA=45^{\circ}. \end{gathered}\)In a wood there are 420 silver birch trees 130 oak trees and 210 wild cherry trees. What percentage of the trees are oak trees? Give your answer to 1 dp
Answers
Answer:
17.1%
Step-by-step explanation:
To find the percentage of oak trees in the wood, divide the number of oak trees by the total number of trees (sum of all tree types), and then multiply by 100 to express it as a percentage:
\(\begin{aligned}\textsf{Percentage of oak trees}&= \dfrac{\textsf{Number of oak trees}}{\textsf{Total number of trees}} \times 100\\\\&= \dfrac{130}{420+130+210} \times 100\\\\&= \dfrac{130}{760} \times 100\\\\&=0.171052631... \times 100\\\\&=17.1\%\; \sf (1\;d.p.)\end{aligned}\)
Therefore, approximately 17.1% of the trees in the wood are oak trees.
Answer:
17.1%
Step-by-step explanation:
In order to calculate the percentage of trees that are oak trees, we can use the following formula:
\(\textsf{Percentage of oak trees }=\dfrac{\textsf{ Number of oak trees }}{\textsf{total number of trees} }\cdot 100\% \)
We know that the number of oak trees is 130 and the total number of trees is 420 + 130 + 210 = 760.
Substituting these values into the formula, we get:
\(\textsf{Percentage of oak trees }=\dfrac{130}{760}\cdot 100\% \\\\ = 0.1710 \cdot 100\% \\\\ \approx 17.1 \% \textsf{( in 1 d.p.)}\)
Therefore, 17.1% of the trees in the wood are oak trees.