An online t-shirt store is having a sale. The original price of each t-shirt is p dollars. The store sells 20 t shirts and earns a total of (20p - 60) dollars.
A. Factor the expression using the GCF
20p - 60 =
B. The discount per t-shirt is $
Answers
Related Questions
To find the quotient of two fractions, you first need to rewrite the division problem as an equivalent multiplication problem. Find this quotient using multiplication.
Answers
Answer : 5/9
Hope it helps !
The divisor of the expression 2/3 ÷ 6/5 is 9.
We have,
Expression:
2/3 ÷ 6/5
The concept used.
a/b ÷ c/d = ad / bc
Now,
2/3 ÷ 6/5
This can be written as,
= 2/3 x 5/6
= (2 x 5) / (3 x 6)
= 10 / 18
= 2 x 5 / 2 x 9
Cancel the common factor.
= 5 / 9
This can be read as,
Dividend = 5
Divisor = 9
Thus,
The divisor of the expression is 9.
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Which of these is the correct ratio of strawberries to blueberries for the fruit salad?
A. 8 strawberries: 30 blueberries
B. 8 strawberries: 8 blueberries
C. 4 strawberries: 30 blueberries
D. 32 strawberries: 30 blueberries
Answers
The ratio of the strawberries to the blueberries is 32 strawberries: 30 blueberries (option d).
What is the ratio?
Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s). The sign that is used to represent ratio is :.
The ratio of strawberries to blueberries - total number of strawberries : total number of blueberries.
(8 x 4) : 30
32 : 30
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Answer: A. 8 strawberries: 30 blueberries
Step-by-step explanation:
50 Points! Multiple choice algebra question. Photo attached. Thank you!
Answers
The angle θ = 90° is not a solution to trigonometric equation sin 2θ = 1. (Right choice: A)
How to solve a trigonometric equation
In this problem we must determine what angle is not a solution of a given trigonometric equation. The solution set is found by means of algebra properties and trigonometric formulas:
sin 2θ = 1
2θ = 90° + 360° · i, where i is a whole number.
θ = 45° + 180° · i
According to this expression, θ₁ = 45°, θ₂ = 225° and θ₃ = - 135° are solutions to this equation. θ = 90° is not a solution of sin 2θ = 1.
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Graph the following inequality
y≤ ¹/2x-4
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The inequality y≤ 1/2 x -4 which is shown by red shaded region gives the solution (0, -4) and (8, 0).
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
We have the Inequality y≤ 1/2 x -4.
Now, we plot the inequality on the Graph as shown by the red region.
As, the inequality intersect the axis at (0, -4) and (8, 0).
Thus, the solution is (0, -4) and (8, 0).
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Write in standard form: x² - 10x + y² - 4y = -28
Answers
Answer:
(x - 5) ^2 + (y -2)^2 = 1
Step-by-step explanation:
This is for a circle.
We need to complete the square
(x^2 -10x ) + ( y^2 -4y ) = -28
(x^2 - 10x +25) + (y^2 - 4y 2y) = -28 + 25 + 4
(x-5)^2 + (y-2)^2 = 1
The center of this circle would be (5,2) with a radius of 1.
What is the area of the square that measures 3.1 m on each side
Answers
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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Sarah predicted that she could text 80 words
per minute on her phone. However, she only
texted 52 words per minute. What was Sarah's
percent error?
Prediction Actual |
| Actual |
Round to the nearest percent.
Hint: Percent error =
-
x 100
Answers
Answer:
20
Step-by-step explanation:
percentage error = predictions - actual ÷actual × 100
error
\( \frac{82 - 52 \\ }{52} \times 100\)
=
20
i need to know how to plot the ordered pairs and to find how many points lie on the x-axis
Answers
Given:
The point is:
\((-2,0),(-1,-3),(0,-4),(1,-3),(2,0)\)Find-:
How many points lie on the x-axis
Explanation-:
At x-axis value of y is zero.
\(\begin{gathered} \text{ Point }=(x,y) \\ \\ \text{ At x-axis y is zero. }y=0 \\ \\ \text{ Then the point becomes }=(x,0) \end{gathered}\)So, the point on the x-axis is:
\(\begin{gathered} =(-2,0) \\ \\ =(2,0) \end{gathered}\)So, the 2 points lie on the x-axis.
time series data of a typical the gap store should show which of the following data patterns? multiple choice a. trend b. cyclical c. seasonal d. all of the options are correct. e. random
Answers
The time series data should show a. trend b. cyclical c. seasonal, so the correct answer is d. all of the options are correct.
What is time series data:
Time series data refers to a collection of data points that are measured over time at regular intervals. The time series data could refer to various metrics such as sales, revenue, foot traffic, website traffic, inventory levels, and other relevant business metrics that change over time.
By analyzing time series data, businesses can gain insights into trends, patterns, and other factors that can affect their operations.
Time series can be used for forecasting. By analyzing past trends and patterns, businesses can make predictions about future performance and take proactive measures to achieve their goals.
Since the time series will follow the trend, have multiple choices, and will be cyclical and it will analyze the patterns over time periods seasonally.
Therefore,
The time series data should show a. trend b. cyclical c. seasonal, so the correct answer is d. all of the options are correct.
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Let f(x) = −4(0.25)^x. The graph of g(x) = f(x)+k is shown below. Identify the value of k. k=
Answers
Factor.
x2 - 7x + 10
(x - 10)(x + 1)
(x + 1)(x - 10)
(x - 5)(x - 2)
(x + 5)(x + 2)
Answers
Answer:
The answer is option C
Step-by-step explanation:
x² - 7x + 10
To factor the expression rewrite - 7x as a difference
That's
x² - 5x - 2x + 10
Factor out x from the expression
x( x - 5) - 2x + 10
Factor - 2 from the expression
x(x - 5) - 2( x - 5)
Factor out x - 5 from the expression
The final answer is
( x - 2)(x - 5)Hope this helps you
Find the slope of the line that passes through the
points (-4, 7) and (3,-2)
Answers
Answer:
-9/7
Step-by-step
Slope Formula:
\(\frac{y_2-y_1}{x_2-x_1}\)
We can plug in the numbers 7 and -2 for the y and -4 and 3 for x
\(\frac{7-(-2)}{-4-3} =\frac{9}{-7}\)
what is the property of 3x(5x7)=(3x5)7
Answers
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
Solve 2(x + 4) + 8x = 14
Answers
can someone explain this? i’m super confused
Answers
Answer:
Co-interior angles adds to 180
54+75=129
180-129=51
? Is 51 degrees
Hope this helps!
Answer:
51
Step-by-step explanation:
/_xwv =54
/_vxw = 75
if xwv = 54 then xyv = 54
and if vxw= 75 then xvy = 75
so vxy = 180-(75+54)
= 51
Solve: 2 x + 5y + 5 = 0
2y=3x+17.
Find x and y
Answers
Answer:
x = -5 and y = 1
Step-by-step explanation:
a) 2x + 5y +5 = 0
a) 2x + 5y = -5
b) 2y = 3x + 17
b) y = 3/2x + 17/2
a) 2x + 5(3/2x + 17/2) = -5
a) 2x + 15/2x + 85/2) = -5
a) 19/2x = -5 - 85/2
a) 19/2x = -95/2
a) x = (-95/2) / (19/2)
x = -5
b) 2y = 3(-5) + 17
b) y = 2/2
y = 1
To solve the system of equations below, Grace isolated the variable y in the
first equation and then substituted into the second equation. What was the
resulting equation?
2y = 10x
x y²
64 36
= 1
Answers
Answer:
D
Step-by-step explanation:
2y=10x
Divide both sides by 2.
y=5x
Now substitute this into the second equation.
Answer:
b. \(x^2/64 - 5y^2/36=1\)
Step-by-step explanation: a p e x
4. Set up a linear system of equations for the following application problem. Remember to
follow the steps of problem solving. DON'T FORGET TO DECLARE YOUR VARIABLES.
Use the graphical method to solve the system and remember to write a verbal answer for your
solution.
The campus bookstore recently sold a total of 144 calculators. Some of these were the cheap
Basic Grapher model (which sells for $23 each) and the rest were the exquisite SuperGrapher
model (which sells for $90 each). The bookstore received a total of $10347 from that sale of
these two calculators. Use your mastery of algebra to help the bookstore find how many
Basic Graphers and how many SuperGraphers were sold.
Invisni
TOTAL
Answers
The system of equations that represents this is:
x + y = 144
x*23 + y*90 = 10347
Solving it, we conclude that they sold 39 of the Basic ones and 105 of the Super ones.
How to set up the system of equations?To do this, first we need to define the variables we will be using. Let's define:
x = number of basic graphers sold.
y = number of SuperGraphers sold.
They sold a total of 144 items, so x + y = 144
And they earned a total of $10347, then we can write:
x*23 + y*90 = 10347
Then the system of equations that represents this is:
x + y = 144
x*23 + y*90 = 10347
The graph of this system is on the image below, there we can see that the solution is (39, 105).
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What is the length of the missing side? b=_
b
15
9
A
PLEASE HELPPP
Answers
Answer: 12^2
Step-by-step explanation:
The formula for the Pythagorean Theorem is a^2+b^2=c^2
We are given a & c.
9^2 + b^2 = 12^2
12^2 = 255
9^2 = 81
225 - 81 = 144
\(\sqrt{144}\) = 12
Therefore 12^2 is your correct answer.
Jane and johnny are running a race. Jane's speed is 1/4 that of Johnny's.
What is Johnny's speed compared to Jane?
Explain.
25%
50%
150%
400%
Answers
The right response is 400%. In other words, Johnny moves at four times the pace of Jane.
We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.
We may compare the speeds as a fraction to figure out the ratio:
Johnny's speed divided by Jane's speed equals 4/1.
This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.
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If you rolled two dice, what is the probability
that you would roll a sum of 9?
Give your answer as a simplified fraction. Enter
the number that belongs in the green box.
Answers
Sum of 9 when rolling two dice ( A) = 4
Probability of getting sum of 9 while rolling two dice( P) = ?
We konw that ,
P = A / S
= 4 / 36
= 2 / 13
Done ✅ hope it helps
Answer:
answer is 1/9
Step-by-step explanation:
10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
Answers
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
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A swimmer dives to 65 feet below the surface of the ocean. Write the integer that represents the depth of the dive.
Answers
Answer:
-65 i believe
Step-by-step explanation:
If x=2y+5 and x=3y-6, what is the value of x?
Answers
Explanation:
From the second equation, you know that x = 5 - 2y
Substitute this expression for ∞ in the first equation to get
2(5 - 2y) + 3y = 6
10-4y +34 = 6
-y = - 4
y =4
Now that we have found y, we can find * using
X=5-24 -> X =5-2.4 = -3
How do you solve for incenter?
Answers
The approach for solving for incenter.
Incenter:
The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle.
It can also be defined as the point where the internal angle bisectors of the triangle cross. This point will be equidistant from the sides of a triangle, as the central axis’s junction point is the center point of the triangle’s inscribed circle.
Formula for solving incenter:
Let (x1,y1) , (x2,y2) and (x3,y3) are three points of triangle.
and a,b,c are lengths of sides.
I = ((ax1+bx2+x3 / a+b+c , ay1+by2+cy3 / a+b+c))
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10,169 ÷ 342
Estimate:
Quotient:
Remainder:
Answers
Answer:
29.7339181287
The short answer:29.73
Apply the distributive property to factor out the greatest common factor.
24+32p= _____
Answers
Answer:
8(3+4p)
Step-by-step explanation:
8 goes into 24 and 32, so it can be factored out:
\(24+32p=8(3+4p)\)
Answer:
8(3 + 4p)
Step-by-step explanation:
Factor 24 + 32p
First, factor out the GCF. In this case, the GCF is 8, and we have
8(3 + 4p)
We can't factor anymore so the answer is 8(3 + 4p)
Which of the following graphs represents the equation 3x + 2y = 24?
Answers
Answer:
C
Step-by-step explanation:
if x=0
2y = 24
2/2 y = 24/2
y = 12
if y =0
3x = 24
3/3 x = 24/3
x = 8
The cost of an item is $75. What will the total cost be with 9% tax?
Answers
Answer:
81.75
Step-by-step explanation:
75*1.09 = 81.75
Answer:$81.75
Step-by-step explanation:
9% of 75 is 6.15, add that to 75 and the answer is 81.75
Two lines intersect to form 4 angles. Angles 2 and 4 are vertical angles with angle 2 = 4x + 12 and angle 4 = 7x - 6. a) Find x. b) What is the measure of angle 2 ?
Answers
Answer:
Does this help?
Step-by-step explanation:
2 = 4x + 12 and angle 4 = 7x - 6
Use the slope-intercept form to find the slope and y-intercept.
Slope: 0
y-intercept: 4
Use the slope-intercept form to find the slope and y-intercept.
Slope: 0
y-intercept: 2
Use the slope-intercept form to find the slope and y-intercept.
Slope: 0
y-intercept: 4
Graph 2= 4x + 12
Slope: Undefined
y-intercept: No y-intercept
Plot each graph on the same coordinate system.
4=
2=
4=
2= 4x + 12
4= 7x − 6
