The table of values below represents a linear function and shows the amount of money in a tip jar at a dry cleaners since the dry cleaners opened for the day. How much was in the tip jar when the dry cleaners opened?
Answers
A linear equation has a standard form of:
y = mx + b
where in this case,
y = amount of money in tip jar, m = slope, x = number of hours, b = y intercept
We select any two paired data to calculate for the slope:
m = (y2 – y1) / (x2 – x1)
m = (18.25 – 15.50) / (5 – 4)
m = 2.75
y = 2.75x + b
Choosing any one data pair to calculate for b the y-intercept:
15.50 = 2.75 (4) + b
b = 4.5
Therefore there was $4.50 in the tip jar during the opening.
Answer: $4.50
Answer:
4.50
Step-by-step explanation:
from the table, we can tell the tip increases by 2.75 per hour
the 3rd hour: 15.50-2.75=12.75
the second hour: 12.75-2.75=10.00
the 1st hour: 10.00-2.75=7.25
the 0 hour: 7.25-2.75=4.50
so there was 4.50 in the jar
Related Questions
Hasan has 18 3/4 yards of fabric. It takes 3 1/6 yards to make a pillowcase. Hasan plans to make as many pillow cases as he can. How many yards of fabric is left over?
Answers
75/4 *3 225/12
19/6 *2 38/12
First is to find a common factor which is 12, multiply both sides.
divide 38/225 and you should get 5.92.
Hasan can make a total of 5 pillow cases.
Answer:
[tex]\frac{35}{38}[/tex] yards of fabric is left over.
Step-by-step explanation:
Hasan has the total length of fabric = [tex]18\frac{3}{4}[/tex] yards
= [tex]\frac{75}{4}[/tex] yards
Hasan plans to make as many pillow cases as he can.
To make one pillow case the fabric will be needed = [tex]3\frac{1}{6}[/tex] yards = [tex]\frac{19}{6}[/tex] yards
Hasan can make the total number of pillowcases = [tex]\frac{\frac{75}{4} }{\frac{19}{6} }[/tex]
= [tex]\frac{75}{4}[/tex] × [tex]\frac{6}{19}[/tex]
= [tex]\frac{75}{2}[/tex] × [tex]\frac{3}{19}[/tex]
= [tex]\frac{225}{38}[/tex]
= [tex]5\frac{35}{38}[/tex]
He can make 5 pillow cases and [tex]\frac{35}{38}[/tex] yards of fabric would be left over.
Carmen needs at least 86 points to pass Karissa's score. Karissa has 631 points. How many points does Carmen have?
Answers
Anywho, Let's figure this out.
631-86 = 544
So Carmen would technically have 544 points to have the same amount as Karissa. But, but, but, the question states that, "Carmen needs at least 86 points to pass Karissa..." So since Carmen has to pass Karissa's score we can say that she has 545 points rather than 544 because 545 + 86 = 632 which is one more point than Karissa's to "pass," her score.
How many ones in 800?
Answers
hope this helps
A person who is 5.8 feet tall is standing in a pool. The top of the person's head is 1.6 feet above the surface of the water. How deep is the pool? Write your answer as a decimal.
Answers
So we have to subtract 5.8 - 1.6, and I believe the answer will be 4.2 feet.
The pool is 4.2 feet deep :)
What system of linear inequalities is shown in the graph?
Enter your answers in the boxes.
(graph is in picture)
Answers
We know that, since it is a dotted line, it is an inequality (< or >, rather than ≤ or ≥). We also see that the area under this line is shaded, so it is a less-than inequality:
y < mx + b, where m is the slope and b is the y-intercept.
The slope is -3, since the line moves down 3 and over 1
The y-intercept is 1
y < -3x + 1
For the second graph, we apply the same steps:
y ≥ mx + b
m = 1/2 (up one, over 2), b = -1
y ≥ (1/2)x -1
System of inequalities:
y < -3x + 1
y ≥ (1/2)x -1
solving a mathematical problem without the use of paper and pencil,calculator, or computer is called using _________ math
Answers
The local park has 4 bike racks . Each bike rack can hold 15 bikes . There are 16 bikes in the bike racks.What expression shows the total number of empty spaces in the bike racks ?
Answers
60-16=44
It is 4 times 15 because if there are 4 bike racks and each bike racks have 15 slots for bikes then you have to multiply the amount of slots with the amount of bike racks are available, then you must find out how many slots are left. To do this you must subtract the amount of bikes in the bike racks with the total amount of slots. This will leave you with 44 slots available.
Charlotte buys tickets to go to a baseball game the total includes a charge of 7% of the original price for extra fees. If Charlotte pays a total of $44.94 how much was the original price of the ticket
Answers
The original price of the ticket is $42.
Let the original cost of the ticket be represented by x
Based on the information given, the equation to solve the question will be:
x + (7% × x) = $44.94
x + (7/100 × x) = $44.94
x + (0.07 × x) = $44.94
x + 0.07x = $44.94
1.07x = $44.94
Divide both side by 1.07
1.07x/1.07 = $44.94/1.07
x = $42
Therefore, the original price of the ticket is $42.
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The original price of the ticket was $42.
Explanation:To find the original price of the ticket, we need to subtract the extra fees from the total amount Charlotte paid.
Let x be the original price of the ticket.
The extra fees would be 7% of x, which is 0.07x. Since the total paid is $44.94, we can set up the equation:
x + 0.07x = 44.94
Combining like terms on the left side gives us 1.07x = 44.94.
Next, we divide both sides by 1.07 to isolate x:
x = 44.94 / 1.07 = $42
Therefore, the original price of the ticket was $42.
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Write an inequality statement comparing m and n. Using complete sentences, explain how you know that your inequality is true.
Answers
It would me m > n.
As you can see, M is further along on the number line than n therefore meaning it has a higher value.
Hope This Helps You!
Good Luck :)
- Hannah ❤
Hello There!
It would me m > n.
As you can see, M is further along on the number line than n therefore meaning it has a higher value.
Hope This Helps You!
Good Luck :)
Each _____ on the coordinate plane has an address, called the _____ _____, (x,y).
Answers
Each point on the coordinate plane has an address, called the coordinates.
What is Coordinate Plane?The coordinate plane is a two-dimension surface formed by two number lines. One number line is horizontal and is called the x-axis. The other number line is vertical number line and is called the y-axis.
The coordinate plane is a two-dimension surface formed by two number lines.
A coordinate plane, also known as a rectangular coordinate plane grid, is a two-dimensional plane formed by the intersection of a vertical line called the Y-axis and a horizontal line called the X-axis.
One number line is horizontal and is called the x-axis.
The other number line is vertical number line and is called the y-axis.
The two axes meet at a point called the origin.
Hence, Each point on the coordinate plane has an address, called the coordinates.
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you visit a farm and notice that white chicken lay white eggs and colored chickens lay brown eggs, so you decide that only white chickens lay white eggs. wht type of reasoning is this
Answers
The type of reasoning demonstrated in the scenario is deductive reasoning.
Deductive reasoning starts with a general premise or statement and applies it to a specific case to reach a logical conclusion. In this case, the premise is that white chickens lay white eggs and colored chickens lay brown eggs. Therefore, when encountering a white chicken, the conclusion is drawn that it will lay white eggs.
To understand deductive reasoning, let's break it down:
Premise:
White chickens lay white eggs.
Colored chickens lay brown eggs.
Observation:
Encounter a white chicken.
Conclusion:
Therefore, the white chicken will lay white eggs.
This conclusion is based on the general premise about the egg-laying behavior of white and colored chickens. Deductive reasoning allows us to draw specific conclusions from general principles, assuming the premises are true.
Which of the following is less than 6.5 x 10^-5.
A. 1.4 x 10^-3
B. 2.5 x 10^-4
C. 7.8 x 10^-5
D. 4.6 x 10^-6
Answers
[tex]4.6\times10^{-6}[/tex] is less than [tex]6.5\times10^{-5}[/tex]. Therefore, option D is the correct answer.
Given that, [tex]6.5\times10^{-5}[/tex].
We need to find which is less than [tex]6.5\times10^{-5}[/tex].
What is scientific notation?The scientific notation helps us to represent the numbers that are very huge or very tiny in a form of multiplication of single-digit numbers and 10 raised to the power of the respective exponent. The exponent is positive if the number is very large and it is negative if the number is very small.
Now, [tex]6.5\times10^{-5}[/tex] =0.000065
[tex]1.4\times10^{-3}[/tex] =0.0014
[tex]2.5\times10^{-4}[/tex] =0.00025
[tex]7.8\times10^{-5}[/tex] =0.000078
[tex]4.6\times10^{-6}[/tex] =0.0000046
[tex]4.6\times10^{-6}[/tex] is less than [tex]6.5\times10^{-5}[/tex]. Therefore, option D is the correct answer.
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Conduct a hypothesis test for each sample at the .01 level of significance and determine what action, if any, should be take. provide the test statistic and p-value for each test.
Answers
HELP PLEASE IS URGENT NEED TO PASS CLASS
Answers
b, the y-intercept is 4.
m, the slope is rise/run = 1/3
y = 1/3 x + 4
[tex] m= { \frac{y_1-y_2}{x_1-x_2} } \\ m= { \frac{3 - 4}{-3 - 0 } } \\ m= { \frac{-1}{-3} } \\ m= { \frac{1}{3} } [/tex]
4 = 1/3(0) + c
c = 4
y = 1/3x + 4
Geometry.
In circle F, what is the measure of arc CB?
A) 60°
B) 70°
C) 17.5°
D) 35°
Answers
The measure of arc CB, <CFB = 70°.
What is Arc?A circle's arc is referred to as a portion or section of its circumference. A chord of a circle is a straight line that might be created by joining the arc's two ends. A semicircular arc is one whose length is exactly half that of a circle.
Given:
First, Draw segment FC.
Measure of arc CB = ∠CFB
As, ∠CFB is complementary to ∠CFA
So, ∠CFB = 180° - ∠CFA
We have Δ CFA is isosceles then
∠ FAC = ∠ FCA = 35°
∠CFA +∠ FAC + ∠ FCA = 180°
∠CFA = 180° - 70°
∠CFB = 180° - (180° - 70°)
<CFB = 70°
Thus, the Measure of arc CB is 70°.
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3× 1,250 in expanded form and use distributive property
Answers
There is your answer
nelda baked 2 kinds of pasta in pans. each pan was the same size. She sliced one pan of pasta into 6 equal pieces. She sliced the other pan into eight equal pieces. How can the pans of pasta now be sliced so that both pans have the same size pieces?
Answers
24/6=4
24/8=3
slice every piece in the first pizza into 4 equal pieces
and every piece in the second pizza into 3 equal pieces.
Answer:
The first pan has to be divided into 4 equal parts.
The second pan has to be divided into 3 equal parts.
Step-by-step explanation:
The first step to solve this problem is finding the least common multiple of 6 and 8.
The multiples of 6 are {0,6,12,18,24,30,36,42,...}
The multiples of 8 are {0,8,16,24,32,...}
The least common multiple of 6 and 8 is 24.
So both kinds of pasta have to be baked so after the second step they have 24 equal parts.
So:
First pan:
The first pan was sliced into 6 equal parts.
24/6 = 4.
So each of the 6 parts have to be divided into 4 equal parts.
After the second step, they have 6*4 = 24 equal parts.
Second pan:
The second pan was sliced into 8 equal parts
24/8 = 3
So each of the 8 parts have to be divided into 3 equal parts.
After the second step, they have 8*3 = 24 equal parts.
In the equation below, variables X and Y represent two matrices. Which property of matrix addition is illustrated below? x+y=y+x
Answers
[x]+[y] = [y]+[x], then
(a) the matrices have the same number of rows and columns,
(b) the operation of matrix addition is commutative.
Answer: commutative
Answer:
Matrix addition is commutative.
Step-by-step explanation:
We know that if there are two matrices X and Y of same order(i.e. same number of the rows and columns) then the addition between the two matrix is commutative i.e.
X+Y=Y+X.
While in case of multiplication of two matrices commutativity may or may not hold true.
Which is another way to check the sum of 52 + 23 + 10 + 78?
A. 78 + 10 + 23 + 52
B. 78 – 52 – 10 – 23
C. 163 – 52 + 23 + 10 + 78
D. 78 – 52 + 10 + 23
Answers
52 + 23 + 10 + 78 = 163
Now, using the process of elimination and common sense, we can narrow down the answer to A. All you have to do is check it.
78 + 10 + 23 + 52 = 163
So, 78 + 10 + 23 + 52 = 52 + 23 + 10 + 78
Your answer would be A. 78 + 10 + 23 + 52
Answer:
A. 78 + 10 + 23 + 52
Step-by-step explanation:
We can solve the problem by using the commutative property: "in an addition, changing the order of the operands does not change the result.
The original addition is 52 + 23 + 10 + 78. We see that option A is exactly the same addition, only the order of the numbers has been changed:
78 + 10 + 23 + 52
Therefore, the two additions are equivalent.
Does the absolute value determine direction which the graph opens
Answers
Phil has three times as many rocks as peter together they have 48 rocks how many more rocks does Phil have been Peter
Answers
Find the 80th percentile of the distribution of the average of 49 fly balls.
Answers
The 80th percentile of the distribution of the average of 49 fly balls is approximately 254.2 feet
The 80th percentile of the distribution of the average of 49 fly balls can be found using the formula for the sample mean and the Z-score. Given that the mean distance of fly balls hit is 250 feet, the standard deviation is 50 feet, and the sample size is 49, we can calculate the 80th percentile as follows:
Calculate the Z-score corresponding to the 80th percentile, which is 0.842
Use the Z-score formula to find the sample mean:
Sample Mean=Population Mean + Z × Standard Deviation/ Sample Size
Sample Mean=250+0.842× 50/ √49
Sample Mean=250+0.842×5
Sample Mean=250+4.2
Sample Mean=254.2
Therefore, the 80th percentile of the distribution of the average of 49 fly balls is approximately 254.2 feet
Complete question:
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls. Find the 80th percentile of the distribution of the average of 49 fly balls.
A ticket agency sells tickets to a basketball game.The agency charges $32.50 for each ticket, a convenience charge of $3.30 for each ticket and a processing fee of $5.90 for the entire order. The total charge for an order is $220.70. How many tickets were purchased?
Answers
Division is one of the four fundamental arithmetic operations. The number of tickets purchased is 6.
What is Division?Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given the following details as shown below.
The agency charges $32.50 for each ticket, A convenience charge of $3.30 for each ticket And a processing fee of $5.90 for the entire order. The total charge for an order is $220.70.Let M represent the number of tickets purchased. Therefore, we can write,
Total charge = cost of each ticket x M + convenience charge x M + processing fee
220.70 = 32.50M + 3.30M + 5.90
Subtract 5.90 on both sides
220.70 - 5.90 = 32.50M + 3.30M
214.8 = 35.8M
Divide both sides by 35.8
6 = M
This means the number of tickets purchased is 6.
Thus, the number of tickets purchased is 6.
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3(x-2)+2(x+1)=-14
plz show work
Answers
First, let's write the problem.
[tex]3\left(x-2\right)+2\left(x+1\right)=-14[/tex]
Apply the distributive property on the left side of the equation.
[tex]=3x-6+2x+2[/tex]
Add like terms.
[tex]=5x-4[/tex]
Let's plug that in into the original equation.
[tex]5x-4=-14[/tex]
Add 4 to both sides.
[tex]5x-4+4=-14+4[/tex]
[tex]5x=-10[/tex]
Divide both sides by 5.
[tex]\frac{5x}{5}=\frac{-10}{5}[/tex]
Our final answer would be,
[tex]x=-2[/tex]
You can feel free to let me know if you have any questions regarding this!
Thanks!
- TetraFish
Simplify ~ 5x−4=−145x-4=-145x−4=−14
Add 4 to both sides~ 5x=−14+4
Simplify ~ 5x=−10
Divide both sides by 5~ x=−5 divided by 10
Simplify~ x=−2
What are the seven steps needed to reconcile a bank statement?
Answers
1. Add Deposits
2. Bank Errors
3. Outstanding Checks
4. Check Register Reconciliation
5. Interest Earned
6. Check Register Errors
7. Compare Both Statements
how can the statement c(1.5)+9 be interpreted
Answers
Hope I Helped!
Sara tells Michael she is 160 centimeters tall, while Michael says he is 60 inches tall. If there are 2.54 centimeters in an inch, who is taller?
Answers
Michael is 60 inches tall.
To convert inches to cm, multiply by 2.54.
So 60 inches * 2.54 = 152.54cm
Sarah is 160 cm, while Michael is 152.54cm
Therefore Sarah is taller
The interior angles formed by the sides of a quadrilateral have measures that sum to 360°. What is the value of x? Enter your answer in the box. x =
Answers
The value of x is equal to 59°.
In Mathematics and Euclidean Geometry, a quadrilateral is a type of polygon that has four (4) sides, four (4) vertices, four (4) edges and four (4) angles.
Generally, the sum of the interior angles of any quadrilateral is equal to 360 degrees. In this context, we can logically deduce the following;
2x + 3 + x + 2x + 3 + x = 360°
6x + 6 = 360°
6x = 360° - 6
6x = 354°
x = 354/6
x = 59°.
A school bus uses 3/4 of a tank of gas to drive back and forth to school in a week with 5 school days. How much gas does the bus use to drive back and forth to school in a week with 4 school days? Write your answer in simplest form.
Answers
Please give me brainliest
Olivia earned $250 a week plus 5% commission on all sales over $1,500. How much did she earn the week she sold $3,500 worth of merchandise?
Answers
250*.05 is 12.5
Olivia would $262.50 because she sold 1 thing costing $3,500
I think it's right hope this helped sorry if I'm wrong.