Answer:
The algebraic expression to the model is [tex]8.5x-15[/tex]
Step-by-step explanation:
Consider the provide situation.
You have a summer job at a car wash. you earn $8.50 per hour and are expected to pay a one-time fee of $15 for the uniform.
Let you work for x hours per week and you earn $8.50 per hours, so the money you will earn can be represented as:
8.50 times x or 8.50x
Now you need to pay one time fee of $15 for the uniform.
For the one time fee use a negative sign.
Thus, the required expression is:
[tex]8.50x-15[/tex]
The algebraic expression to the model is [tex]8.5x-15[/tex]
estimate the answer to: 3772 divided by 44
Banks and other financial institutions sometimes calculate simple interest based on
In circle Y, what is m∠SZT? 86° 94° 108° 128°
Answer:
It's 94
Step-by-step explanation:
In the diagram, what is the value of x
The sum of angles on a straight line is 180degrees. The measure of the value of x from the figure is 98degrees
Sum of angle on a straight lineThe measure of angles 82 degrees and the unknown are on a straight line, Since the sum of angles on a straight line is 180degrees, hence;
x + 82 = 180
Subtract 82 from both sides
x + 82 - 82 = 180 - 82
x = 180 - 82
x = 98 degres
Hence the measure of the value of x from the figure is 98degrees
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What is the slope, m, and the y-intercept of the line that is graphed below?
Answer: The correct option is
(A) m = 1; (0, 3).
Step-by-step explanation: We are given to find the slope, m, and the y-intercept of the graphed line.
We know that
the slope of a line passing through the points (a, b) and (c, d) is given by
[tex]m=\dfrac{d-b}{c-a}.[/tex]
From the graph, we note that the line passes through the points (-3, 0) and (-1, 2).
Therefore, the slope of the graphed line will be
[tex]m=\dfrac{2-0}{-1-(3)}=\dfrac{2}{2}=1.[/tex]
Also, at x = 0, the value of the y-coordinate is 3. So, the y-intercept of the line is (0, 3).
Thus, the slope, m = 1 and the y-intercept is (0, 3).
Option (A) is CORRECT.
What are the slope and the y-intercept of the linear function that is represented by the table?
Answer:
The answer is D.
Step-by-step explanation:
I got it correct on my test.
Correct me if I'm wrong.
stacy says the 4 in 643 has a value of 4 tens or 40 do you agree with stacy reasoning explain use picture,words or number in your answer.
Final answer:
Stacy is correct in saying that the 4 in 643 has a value of 4 tens or 40, as numbers can be broken down by place value, with each digit representing a different value depending on its position.
Explanation:
I do agree with Stacy's reasoning. The number 643 can be broken down into its place values: the 6 is in the hundreds place, representing 600; the 4 is in the tens place, representing 40; and the 3 is in the ones place, representing 3. Therefore, the value of the 4 in 643 is indeed 4 tens, or 40, as Stacy has indicated.
To visualize this, imagine the number 643 written on a place value chart:
Hundreds: 6
Tens: 4
Ones: 3
This confirms that the digit 4 in the tens place contributes 40 to the overall value of the number 643.
Point A has a _____ abscissa and a _____ ordinate.
positive, negative
negative, positive
negative, negative
positive, positive
Answer:
Negative,Positive
Step-by-step explanation:
The coordinate geometry, plane is divided into four parts and each part is known as quadrant. The abscissa denotes the point lies on X- axis whereas ordinate denotes the point on Y-axis.
Since the point A lies in second quadrant. In second quadrant, abscissa is negative and ordinate is positive because here x lies to left of x axis and y lies to right of y axis.
Thus, the correct answer is option (2)
Explain why the relationship between how much steven charges and time is a promotioninal relationship
What is the correct solution for the arithmetic expression 2+8/2*9/3 using the order of operations employed by oracle10g when solving equations?
Arithmetic expressions involve several arithmetic operations
The correct solution of [tex]\mathbf{2 + \frac 82 \times \frac 93}[/tex] is 14
The expression is given as:
[tex]\mathbf{2 + \frac 82 \times \frac 93}[/tex]
Divide 8 by 2
[tex]\mathbf{2 + \frac 82 \times \frac 93 = 2 + 4 \times \frac 93}[/tex]
Divide 9 by 3
[tex]\mathbf{2 + \frac 82 \times \frac 93 = 2 + 4 \times 3}[/tex]
Multiply 4 by 3
[tex]\mathbf{2 + \frac 82 \times \frac 93 = 2 + 12}[/tex]
Add 2 and 12
[tex]\mathbf{2 + \frac 82 \times \frac 93 = 14}[/tex]
Hence, the correct solution of [tex]\mathbf{2 + \frac 82 \times \frac 93}[/tex] is 14
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Alisa hopes to play beach volleyball in the olympics someday. She has convinced her parents to allow her to set up a beach volleyball court in their backyard. A standard volleyball court is 26 feet by 52 feet. She figures she will need the sand to be one foot deep.
Sand a is 60 lbs for $5
Sand b is 150 lbs for $12
A. What's is the rate brand a is selling for? Give rate and then specify the unit rate.
B.Which brand is offering the better value? Explain.
Brand A is selling the sand at a rate of $0.0833 per pound, which is a slightly better value compared to brand B's rate of $0.08 per pound.
Explanation:A. To find the rate at which brand A is selling the sand, we need to calculate the cost per pound. The rate for brand A is $5 for 60 lbs. To find the unit rate, we divide the cost by the amount, which gives us $5 / 60 lbs = $0.0833 per lb.
B. To determine which brand is offering the better value, we compare the unit rates. Brand A has a unit rate of $0.0833 per lb, while brand B has a unit rate of $12 / 150 lbs = $0.08 per lb.
Therefore, brand A is offering a slightly better value since it has a lower unit rate.
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Identify the slope and y-intercept of the graph of the equation. y = 1/4x + 3
A slope: 1/4 ; y-intercept: 3
B slope: 1/4; y-intercept: –3
C slope: 4; y-intercept: 3
D slope: 4 ; y-intercept: –3
Final answer:
The slope of the equation y = 1/4x + 3 is 1/4 and the y-intercept is 3, corresponding to option A: slope: 1/4 ; y-intercept: 3.
Explanation:
To identify the slope and y-intercept of the equation y = 1/4x + 3, we can compare it to the general form of the slope-intercept equation for a line, which is y = mx + b. In this form, m represents the slope of the line, and b represents the y-intercept of the line. Thus, looking at the given equation, the coefficient of x (which is 1/4) is the slope, and the constant term (which is 3) is the y-intercept.
The correct answer is:
Slope: 1/4Y-intercept: 3Therefore, the answer is option A: slope: 1/4 ; y-intercept: 3
Heather, Chang, and Justin served a total of 93 orders Monday at the school cafeteria. Chang served 2 times as many orders as Justin. Heather served 5 more orders than Justin. How many orders did they each serve?
Use counters to find the quotient and remainder for 36 divide a by 8
Which of the following are valid names for the given triangle below? Check all that apply.
Answer:
Triangle LMZ
Triangle MLZ
Triangle ZML
Step-by-step explanation:
Option A,B and E are all the valid names.
The valid names of the triangle are those that has all the angles withing. The angles are Angle l, M and Z.
C and D are not angles, so any triangle cannot be formed using these.
Hence, the valid triangles here are:
Triangle LMZ
Triangle MLZ
Triangle ZML
Answer:
LMZ,ZML,MLZ
Step-by-step explanation:
HELP NEEDED IN MATHS
What is cultural imperialism?
the impact of a nation’s culture on its trade policies
the imposition of a foreign culture on a nation’s population
the impact of culture on people’s buying and spending habits
the spread of foreign culture through immigrants from various nations
Answer:
The correct answer is : B) the imposition of a foreign culture on a nation's population.
Step-by-step explanation:
Cultural imperialism shows the cultural aspects of imperialism that is a culture being imposed on other countries.
And imperialism can be defined as maintaining the unequal relationships between civilizations.
So, the correct answer is : B) the imposition of a foreign culture on a nation's population.
The cost of having a package delivered has a base fee of $9.70. Every pound over 5 lbs cost an additional $0.46 per pound. Write a linear model that represents the cost, C, for the total weight, w, in pounds of the package. Assume w > 5 lbs.
a. C = 9.7w + 0.46
b. C = 0.46w + 12
c. C = 0.46w + 9.7
d. C = 0.46(w - 5) + 9.7
Answer:
d. C=0.46(w-5)+9.7
Step-by-step explanation:
the cost of having a package delivered has a base fee of $9.70, that means that independently of the pounds of the package, the cost is always going to be $9.70
Then, there is an additional cost, that just count if the package have more than 5 lbs. Every pound over this 5 lbs, cost $0.46 per pound. So, the additional cost is:
0.46*(w-5)
Where (w-5) are the number of pound that over 5 lbs.
Finally the total cost is the sum of the base cost and the additional cost, that can be written as:
C=0.46*(w-5)+9.7
Answer:
It is D.
Step-by-step explanation:
took the assessment.
Find the quotient 5/18 divided by 2/6
To divide fractions, multiply the first fraction by the reciprocal of the second fraction and simplify if possible.
Explanation:To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is found by switching the numerator and denominator. So, to divide 5/18 by 2/6, we will multiply 5/18 by 6/2.
First, we cancel out any common factors between the numerators and denominators:
5/18 * 6/2 = (5 * 6)/(18 * 2) = 30/36.
Now, we can simplify 30/36 by finding the greatest common divisor (GCD) of 30 and 36, which is 6.
Dividing both the numerator and denominator of 30/36 by 6, we get the final quotient of 5/6.
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solve 3m+7/2=−2m+5/2 what is m
Answer:
-2/5
Step-by-step explanation:
3m + 7/2 = -2m + 5/2
3m + 7 = -2m + 5
5m = -2
m = -2/5
Let k(t) be a measure of the knowledge you gain by studying for a test for t hours. which do you think is larger, k(8) − k(7) or k(3) − k(2)
To determine which is larger between k(8) - k(7) and k(3) - k(2) , compare the specific values. If the graph of k(t) is concave upward, studying more hours yields a larger knowledge increase.
To determine which is larger between k(8) - k(7) and k(3) - k(2) , and to understand the concavity of the graph of k(t) , consider the following:
1. Larger Increase in Knowledge:
- Evaluate k(8) - k(7) and k(3) - k(2) .
- If k(8) - k(7) is greater, it implies that studying for an additional hour (from 7 to 8 hours) provides a larger increase in knowledge than studying for an hour from 2 to 3 hours.
2. Concavity of the Graph:
- If k''(t) > 0 (second derivative is positive), the graph is concave upward.
- If k''(t) < 0 (second derivative is negative), the graph is concave downward.
3. Reasoning for Concavity:
- If the graph is concave upward, it suggests that the rate of knowledge gain is increasing. Studying more hours leads to a larger increase in knowledge.
4. Final Answer:
- The comparison between k(8) - k(7) and k(3) - k(2) depends on the specific function k(t) . As for concavity, if the graph is concave upward, studying more hours yields a larger increase in knowledge.
In summary, compare the specific values k(8) - k(7) and k(3) - k(2) and analyze the concavity of the graph to determine the relationship between studying hours and knowledge gain.
Question. Let k(t) be a measure of the knowledge you gain by studying for a test for t hours, . Which do u think is larger, k(8)-k(7) or k(3) - k(2) ? is the graph of k concave upward or concave downward? why?
An amount of $31,000 is deposited in a bank that pays interest at the rate of 4%/year, compounded annually. what is the total amount on deposit at the end of 6 years, assuming there are no deposits or withdrawals during those 6 years? (round your answer to the nearest cent.)
The total amount on deposit at the end of 6 years if an amount of $31,000 is deposited in a bank that pays interest at the rate of 4% per year, compounded annually is $38440.
What is interest?When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.
Given:
The principal amount, P = $31000,
The time, t = 6 years,
The rate of interest, r = 4% per annum,
Calculate the simple interest by the formula given below,
[tex]SI = P\times r\times t / 100[/tex]
SI = 31000 × 4 × 6 / 100
SI = $7440,
Calculate the by the formula given below,
[tex]Total \ amount = P + SI[/tex]
Total amount = $31000 + $7440
Total amount = $38440
Therefore, the total amount on deposit at the end of 6 years if an amount of $31,000 is deposited in a bank that pays interest at the rate of 4% per year, compounded annually is $38440.
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You are sailing from your lakeshore cabin to a marina 60º north of east and 0.5 miles across the lake.
Which of the following expressions uses the complementary angle of 60° to determine how far you would travel on your trip west?
a.
0.5cos30°
b.
0.5cos60°
c.
0.5sin30°
d.
0.5sin60°
Answer:- c. 0.5sin30°
Explanation:-
Let AB= 0.5 miles be the distance across the lake to 60º north of east.
AC= distance travel to the east
Now, in right ΔABC
[tex]sin60^{\circ}=\frac{AC}{AB}\\\\\Rightarrow\ AB=ACsin60^{\circ}\\\Rightarrow\ AB=0.5\ sin60^{\circ}[/tex]
Now Distance towards west [tex]AD=|\ -0.5\ sin60^{\circ}|[/tex] [distance is a positive quantity]
[tex]AD=0.5\ sin60^{\circ}[/tex]
[tex]AD=0.5\ cos(90^{\circ}-60^{\circ})[/tex] [Taking complementary angle of 60° ]
[tex]AD=0.5\ cos(30^{\circ})[/tex]
Thus C. is the right option.
Answer:
the answer is C.
Step-by-step explanation:
mr. john doe was figuring out his federal income tax.his income tax is 26,800, but he was able to subtract 5,000 in deducations he paid 15% of the remaning income tax . how much did he pay
subtract 5ooo from 26800
26800 - 5000 = 21800
now multiply that by 15%
15% = 0.15
21800 * 0.15 = 3270
he paid $3,270 in taxes
What is the value of 4 in the number 358.547? please help!!!!!
A) 0.0004
B) 0.004
C) 0.04
D) 4
Which choice solves the problem?
1467÷7=
A) 27
B) 29 with a remainder of 4
C) 207 with a remainder of 4
D) 209 with a remainder of 4
Bailey’s horse is growing fast. She ate 2 scoops of feed in the morning, 4 scoops in the afternoon and 3 scoops at night. She did this all week long. How many scoops of feed did Bailey’s horse eat over the course of the week?
A) 2 x 3 x 4
B) 2 x (3 + 4)
C) 2 + 3 + 4 + 7
D) (2 + 3 + 4) x 7
What is the solution set of -9x ≥ 27?
Answer:
x<=-3
Step-by-step explanation:
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How many ways can a person with five nickels, three dimes, and two quarters make a 75-cent purchase from the machine?
56 books 75% decrease
A rectangular floor is 5 yards long and 4 yards wide. What is the area of the floor in square feet?
Final answer:
To calculate the area of the floor in square feet, the dimensions in yards are first converted to feet (1 yard = 3 feet), and then the length and width in feet are multiplied to get the area (15 feet x 12 feet = 180 square feet).
Explanation:
The student is asking about the area of a rectangular floor in square feet when the dimensions given are in yards. To find the area of the floor, we first convert the measures from yards to feet, knowing that 1 yard equals 3 feet. Therefore, the rectangular floor measures 5 yards long (which is 5 x 3 = 15 feet long) and 4 yards wide (which is 4 x 3 = 12 feet wide).
Now we can calculate the area by multiplying the length by the width. The area in square feet is thus 15 feet x 12 feet = 180 square feet.
whats the cubed root 64/343