Casey paod $32 for a book that was on sale at 20% off. WHat was the original prize for that book
Answers
Answer:
$38.4
Step-by-step explanation:
20%=0.20
32*0.20=6.4
32+6.4=38.4
Related Questions
The increasing on the intervals
The decreasing on the intervals
Answers
Find the slope of the line. Describe how one variable changes in relation to the other. A. 2; distance increases by 2 miles per hour B. 2; distance decreases by 2 miles per hour C. 1/2; distance increases by 1 mile every 2 hours D. 1/2; distance decreases by 1 mile every 2 hours
Answers
The line's slope is \(\frac{1}{2}\) and the distance increases by 1 mile every 2 hours.
What is a good example of a line's slope?
The proportion of the increase in the y-value to the increase in the x-value may also be used to determine slope. For instance: We can get the slope of a line given two locations, P = (0, -1) & Q = (4,1) on the line.
A. Since the line's slope is 2, it follows that the y-variable, which is most likely distance, grows by 2 units for every increment in the x-variable, which is most likely time. The accurate statement is thus: speed is increased by Two miles per hour.
B. Since the line's slope is 2, it follows that the y-variable will drop by 2 units for every unit rise in the x-variable, which is most likely time. The accurate description is thus: speed drops by Two miles per hour.
C. If the line's slope is 1/2, the y-variable will rise by 1/2 unit for every increment in the x-variable, which is probably time. The precise description is that the distance grows by a mile every two hours.
D. If indeed the line's slope is 1/2, the y-variable will drop by 1/2 unit for every unit rise in the x-variable, which is probably time. The precise description is: distance shrinks by a mile every two hours.
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please help me solve this
Answers
The area of triangle EFG is given as follows:
A = 18.63 square units.
How to obtain the area of a triangle?The area of a rectangle of base b and height h is given by half the multiplication of dimensions, according to the formula presented as follows:
A = 0.5bh
The base is given by segment EF as follows:
\(EF = \sqrt{(9 - 4)^2 + (-7 -(-9))^2}\)
EF = 5.4.
The midpoint of EF is given as follows:
M(6.5, -8).
The height is given by the segment MG as follows:
\(MG = \sqrt{(6.5 - 3)^2 + (-2 - (-8))^2}\)
MG = 6.9.
Hence the area is given as follows:
A = 0.5bh
A = 0.5 x 5.4 x 6.9
A = 18.63 square units.
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14) The ratio of green to red gummy bears in a package is 3:7. If there are a total of 80
gummy bears in the package, how many gummy bears are red?
Answers
Answer:
There are 56 red gummy bears
Step-by-step explanation:
The ratio of green to red gummy bears is = 3 : 7
Total gummy bears = 80
We need to find how many gummy bears are red?
We can write it as:
3x : 7x
where x is the common ratio.
We can write:
Quantity of Green gummy bears = 3x
Quantity of Red gummy bears = 7x
Total Gummy bears = 80
So, 3x+7x = 80
10x = 80
x = 8
Now, finding quantity of Red gummy bears by putting x = 8
7x = 7(8) = 56
So, There are 56 red gummy bears
To study the effect of neighborhood on academic performance, 1000 families were given federal housing vouchers to move out of their low-income neighborhoods. No improvement in the academic performance of the children in the families was found one year after the move.Requried:a. What are the explanatory and response variables?b. What are the subjects, factor(s), and treatment?c. What does no significant difference mean in describing the outcome of this study?d. Explain clearly why the lack of improvement in academic performance after one year does not necessarily mean that neighborhood does not affect academic performance.e. In particular, identify some lurking variables whose effect on academic performance may be confounded with the effect of the neighborhood
Answers
Answer:
Check below for the answers and explanations to the questions.
Step-by-step explanation:
a) The explanatory variable is "the neighborhood" because it is the one that can be controlled/varied by the experimenter and also determines the outcome of the experiment.
The response variable is the "academic performance of the children" since it is the outcome of the experiment.
b) The subjects of the study are the children of the 1000 families that were given federal housing vouchers to relocate.
The factors of the study are:
1. the low income neighborhood
2. the federal housing estate
Treatment is the combination of various levels of the factor. In this case, it is the neighborhood of the families.
c) No significant difference means that the mean of the academic performance of the children while living the low-income neighborhood equals the mean of their academic performance while living in the federal housing estate. Which means that the null hypothesis is accepted.
d) The period of evaluation after relocation is very small compared to the time that has been spent in the low-income neighborhood. The observation has to take a longer time to discover the effect of the new neighbourhood on the academic performance of the children. Therefore the lack of improvement in academic performance after one year does not necessarily mean that neighborhood does not have effect on academic performance.
e) some other variables that are not considered in this study are:
The average Intelligence Quotient of the children
The parental training
The schools attended by the children
Average number of hours spent on study
If point M is located at (-8, 3), which ordered pair below represents a 180-degree rotation about the originof point M?
Answers
A 180-degree rotation about the origin transforms point (x, y) into (-x,-y). then:
M(-8, 3) → M'(8, -3)
Kirstin invests $3,000 into an ETF which earns 5% per year. In 25 years, how much will Kirstin’s investment be worth if interest is compounded quarterly( 4 times a year)? Round to the the nearest dollar.
Answers
Kirstin's investment will be worth approximately $10,390.21 after 25 years with quarterly compounding, rounded to the nearest dollar.
What is the accrued amount in 25 years?To calculate the future value of Kirstin's investment after 25 years with quarterly compounding, we can use the compound interest formula:
A = P(1 + r/n)^(n×t)
Where:
A is the future value of the investment = ?P is the initial investment (principal) = $3,000r is the annual interest rate expressed as a decimal = 5%n is the number of times the interest is compounded per year = 4 (quarterly)t is the number of years the money is invested = 25 yearsFirst, convert R as a percent to r as a decimal
r = 5%
r = 5/100
r = 0.05
Substituting the given values, we get:
A = 3000( 1 + 0.05/4)^(4 × 25)
A = 3000(1 + 0.0125)¹⁰⁰
A = 3000(1.0125)¹⁰⁰
A = $10,390.21
Therefore, the accrued amount is $10,390.21.
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select the correct word form for 87,055
Answers
Answer: Eighty-seven thousand-fifty five
Step-by-step explanation:
Answer:
eighty seven thousand fifty five=87,055
Given: Line a and line b intersect Prove: <1 = <3Which statement and reason best completes the proof?
Answers
When lines a and b overlap, angle 1 equals angle 3.
What is intersecting lines?The intersection of two lines in Euclidean geometry might be the empty set, a point, or another line. Distinguishing these circumstances and locating the intersection have applications in computer graphics, motion planning, and collision detection, among others. When two or more lines intersect on a plane, they are referred to as intersecting lines. The crossing lines have a common point, which exists on all of them and is known as the point of intersection. The intersecting lines are two lines that have precisely one common point. The crossing lines have a point in common. The point of intersection is the common point that exists on all intersecting lines.
Here,
To prove ∠1 ≅ ∠ 3, we can use the congruent supplements theorem. According to the congruent supplements theorem, If two angles are supplements of the same angle then two angles are congruent.
Line a and line b intersect (given)
∠3 is supplementary to ∠2 because of linear pair theorem (given)
So, if we take ∠2 as the common angle
And ∠1 is supplementary to ∠2 by linear pair theorem ( option D)
Then, ∠1 is supplementary to ∠2 which is supplementary to ∠3
Therefore, ∠1 ≅ ∠3 (according to the congruent supplements theorem)
This is proved when line a and line b intersect, angle 1=angle 3.
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What is the slope of the line that passes through the points (-8,-3) and (-24,-1)?
Answers
To find the slope between to points you use the equation y2-y1/x2-x1. So if you substitute your numbers into the equation and do the math you should get -1/8.
Erica claims if a cylinder has an equal radius and height , and its surface area it 64pie square inches, what is its volume?
Answers
SOLUTION
From the question,the radius and the height are equal, Hence
\(\begin{gathered} r=h \\ surfaceArea=64\pi in^2 \end{gathered}\)The formula for surface area is
\(\begin{gathered} \text{Surface Area=2}\pi r^2+2\pi rh \\ \end{gathered}\)Since
\(\begin{gathered} r=h \\ \text{Surface Area=2}\pi r^2+2\pi r(r)=2\pi r^2+2\pi r^2=4\pi r^2 \\ \text{Hence } \\ \text{surface Area=4}\pi r^2 \end{gathered}\)Equate the formula to the surface Area to find the value of r
\(\begin{gathered} \text{surface Area=4}\pi r^2 \\ 64\pi=4\pi r^2 \\ \text{divide both sides by 4}\pi,\text{ we have } \\ \frac{64\pi}{4\pi}=\frac{4\pi r^2}{4\pi} \\ 16=r^2 \\ \text{taking square root of both sides, } \\ r=\sqrt[]{16} \\ r=4in \end{gathered}\)hence
r= 4 inches
Then the volume of the cylinder will be;
\(\begin{gathered} \text{volume = }\pi r^2h \\ \text{Where r=h=4} \end{gathered}\)Substitute the value of r, we have
\(\begin{gathered} \text{Volume}=\pi4^2(4) \\ \text{volume}=64\pi in^3 \end{gathered}\)Hence
The volume of the cylinder will be 64π in³
3. A bowling alley charges $1.50 for bowing shoes and $3.75 for each game. Paul and
Brandon each have $15 to spend at the bowling alley.
a Paul brings his own bowling shoes. How many games can he bowi?
b. Brandon needs to pay for bowling shoes. How many games can he bowl? Round
your answer down to the nearest whole number.
c. Both Paul and Brandon decide to bowl the number of games that Brandon can
afford to bowl. Does Paul have enough money to buy a slice of pizza and a soda
that cost a total of $3.25? Explain your reasoning.
Answers
Answer:
A. Paul can bowl 4 games.
B. Brandon can bowl 3 games.
C. Yes, Paul can have a pizza and a soda. Paul, with his bowling shoes, can afford exactly four games. When playing three games, Paul has a remained of $3.75
100 Points! Geometry question. Identify the similar triangles. Then find each measure. Photo attached. Please show as much work as possible. Thank you!
Answers
The triangles ABC and DBE are similar by the SAS similarity theorem
The measure of the side lengths AC is 16 units
How to identify the similar triangles.From the question, we have the following parameters that can be used in our computation:
The triangles ABC and DBE
These triangles have the following measures
Two similar corresponding sidesTwo equal corresponding anglesThis means that the triangles are similar by the SAS similarity theorem
How to find each measureUsing the SAS similarity theorem, we have the following equation
(x + 1)/12 = (x + 5)/15
Cross multiply the equation
15x + 15 = 12x + 60
So, we have
3x = 45
Divide by 3
x = 15
This means that
x + 1 = 15 + 1 = 16
x + 5 = 15 + 5 = 20
Hence, the measure of the side lengths are 16 and 20 units
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72 tokens/12 games, tokens/10 games
Answers
12T=720
T=60
So ten games cost 60 tokens
WORTH 25 POINTS The finances of a group of pet owners were analyzed to determine how much they were spending on their pet(s) each year. A graph of that data is shown: Would (3, 7.2) be a realistic solution for the function? Explain. Yes, it is realistic to have 7.2 owners who spend $300 dollars on their pet(s). No, it is not realistic to have 3 owners. Yes, it is realistic that 3 owners spend $720 a year on their pet(s). No, it is not realistic that owners spend $720 a year on their pet(s).
Answers
Answer:
Yes, it is realistic to have 3 owners that spend 720$ a year on their pets
Step-by-step explanation:
See graph
Solve for k: 3k - 8 = 22.
possible answers:
-10
14/3
15
10
Answers
Answer:
???
Step-by-step explanation:
9)
1713
2
1712
A) X= 17, y =
4
17
B) x= 1772, y =
C) <= 17, y="
D) x= 1772, y=
E) x = "=1772
1772
y=-
4
Answers
Answer:
Have a good day yall
Step-by-step explanation:
i dont know the answer but good luck
In Mr. Davis’s class, 13 students wear glasses and 9 do not. What is the ratio of students who do not wear glasses to the number of students who do wear glasses?
Answers
Answer:
9/13
Step-by-step explanation:
The ratio of
do not wear glasses : those who do wear glasses = 9 / 13
Be sure and keep the numbers opposite their descriptions.
9 is across from those who wear glasses
13 is across from those who do not wear glasses.
Julie sold 12 boxes of cookies in 15 minutes. If she continues selling cookies at this rate, how many boxes will she sell in 3 hours?
Answers
Answer: 144 boxes.
Step-by-step explanation: 15 is 1/4 of an hour. That means you need an hour to make 48 boxes. Then, multiply that by 3.
Answer:
144
Step-by-step explanation:
3 hours is 180 minutes
180/15 = 12
12*12= 144
so she will sell 144 boxes of cookies
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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what is the solution to the equation below? sqrt 2-3x / sqrt 4x =2
Answers
The solution to the equation sqrt 2-3x / sqrt 4x = 2 is x = -2/3.
To solve the equation, we must first clear the denominators and simplify the equation. We can do this by multiplying both sides by sqrt(4x) and then squaring both sides. This gives us:
sqrt 2-3x = 4sqrt x
2 - 6x + 9x² = 16x
9x² - 22x + 2 = 0
Using the quadratic formula, we can find that x = (-b ± sqrt(b² - 4ac)) / 2a. Plugging in a = 9, b = -22, and c = 2, we get:
x = (-(-22) ± sqrt((-22)² - 4(9)(2))) / 2(9)
x = (22 ± sqrt(352)) / 18
x = (22 ± 4sqrt22) / 18
Simplifying this expression, we get:
x = (11 ± 2sqrt22) / 9
Therefore, the solution to the equation is x = -2/3.
To solve the equation sqrt 2-3x / sqrt 4x = 2, we must clear the denominators and simplify the equation. This involves multiplying both sides by sqrt(4x) and then squaring both sides.
After simplifying, we end up with a quadratic equation. Using the quadratic formula, we can find that the solutions are x = (11 ± 2sqrt22) / 9.
However, we must check that these solutions do not result in a division by zero, as the original equation involves square roots. It turns out that the only valid solution is x = -2/3.
Therefore, this is the solution to the equation.
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pls help
Which graph represents a linear function?
Answers
Answer: The second one
Step-by-step explanation:
Lineair is always a straight line, think of it as a “line in the air”
Answer:
the second one
Step-by-step explanation:
its a straight line
a + b = 0
which of these is equal to b?
Answers
Answer:
b is equal to negative a and a is also equal to negative b
Step-by-step explanation:
A certain test preparation course is designed to help students improve their scores on the GRE exam. A mock exam is given at the beginning and end of the course to determine the effectiveness of the course. The following measurements are the net change in 5 students' scores on the exam after completing the course: 6,14,12,23,0 Using these data, construct a 95% confidence interval for the average net change in a student's score after completing the course. Assume the population is approximately normal. Step 2 of 4 : Calculate the sample standard deviation for the given sample data. Round your answer to one decimal place.
Answers
Answer:
(0.25 ; 21.75)
8.7 (1 decimal place)
Step-by-step explanation:
Net change in scores : X = 6,14,12,23,0
Sample mean, xbar = (6 + 14 + 12 + 23 + 0) /5 = 55 /5 = 11
Sample standard deviation, s = 8.66 ( from calculator)
Sample standard deviation = 8.7( 1 decimal place)
Sample size, n = 5
The 95% confidence interval; we use t, because n is small
Tcritical at 95%, df = 4 - 1 = 3 ; Tcritical = 2.776
Xbar ± standard Error
Standard Error = Tcritical * s/√n
Standard Error = 2.776 * 8.66/√5
Standard Error = 10.751086 = 10.75
Lower boundary = (11 - 10.75) = 0.25
Upper boundary = (11 + 10.75) = 21.75
(0.25 ; 21.75)
The
Graph the function f(x)= -4x+1
Answers
Given,
The expression is f(x) = -4x+1.
Required
The graph of the given expression.
To graph the expression, obtain three and four points through which the graph can pass.
Taking x =1, then the value of y is,
\(undefined\)using complex number system Compute the three cube roots of z = −8.
Answers
Write z = -8 in polar form:
\(z = -8 = 8e^{i\pi}\)
Then the cube roots of z are
\(z^{1/3} = 8^{1/3} e^{i\left(\frac{\pi+2n\pi}3\right)\)
where n ∈ {0, 1, 2}, or
\(z^{1/3} \in \left\{8^{1/3} e^{i\pi/3}, 8^{1/3} e^{i\pi}, 8^{1/3} e^{i\,5\pi/3}\right\} \\\\ z^{1/3} \in \left\{2 \left(\dfrac12 + i\dfrac{\sqrt3}2\right), -2, 2 \left(\dfrac12-i\dfrac{\sqrt3}2\right)\right\} \\\\ \boxed{z^{1/3} \in \left\{1+i\sqrt3, -2, 1-i\sqrt3\right\}}\)
Write four thousand twenty four and seventy six thousandths in
number
inta decimall
Answers
Answer:
4,024.076
Step-by-step explanation:
and = Decimal point
0 = tenths 7 = hundredths 6 = thousandths
i could be wrong but
The tires on a bicycle have a diameter of 70 centimeters. About how far does the bicycle travel each time the tires make 10 complete revolutions? A 11 meters O B 22 meters Oc 38 meters 0 44 meters
Answers
If it’s diameter is 70 cm, it’s radius is 35 cm, or 0.35 meters.
Use the formula for circumference:
C = 2(pi)(r) —> C = 2(pi)(0.35) = 0.7(pi) = 2.2 meters
2.2 meters * 10 revolutions = 22 meters
The required distance does the bicycle travel each time the tires make 10 complete revolutions is 21.98 m.
What is circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.
Given:
Diameter = 70 centimeters.
Revolution = 10
According to given question we have
By the formula of circle we get
Tire diameter: 70 cm
Tire radius= 35 cm
Circumference= 2×π×r×n
Circumference
= 2 ×3.14 ×35×10
= 2198 cm
100 cm = 1 mete
=21.98 m
Therefore, the required distance does the bicycle travel each time the tires make 10 complete revolutions is 21.98 m.
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The table shows the relationship
between a hedgehog's change in weight and the number
of days of hibernation.
a. What number represents the change in weight for each day
of hibernation?
b. What number represents the change in weight in ounces for
the hedgehog in 115 days of hibernation?
Answers
The linear relationship which exists between the change in weight and number of days of hibernation in a hedgedog can be modeled using the equation y = - 0.03 + 0
Change in weight per day of hibernation = - 0.03Change in weight for 115 days = - 3.45 ouncesA linear model can be created using the data in the table given using a regression calculator or excel ;
The linear model obtained in the form y = m + bx is :
y = - 0.03x + 0y = change in weight x = number of days of hibernation Intercept = 0Slope = -0.03The slope value of the function gives the change in weight value per number of days of hibernation ; which is -0.03.Using the regression equation, substitute, the vlaue of x = 115 -0.03(115) + 0 = - 3.45Therefore, the change in weight after 115 days of hibernation is - 3.45 ounces.
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A researcher is studying life expectancy in different parts of the world using birth and death records. She randomly select a sample of 20 people from town, A and a sample 20 people from town B and records, their life span in years.
The researcher wants to test the claim that there is a significant difference in lifespan for people in the two towns. What are the Noel and alternative hypotheses that should be used to test this claim ?
Please answer (A B C, or D)
See photo for chart and answer choices!
Thank you 100 points :)
Answers
The null and the alternative hypothesis for Noel's test are given as follows:
Null: \(\mu_A - \mu_B = 0\)Alternative: \(\mu_A - \mu_B \neq 0\)How to obtain the null and the alternative hypothesis?The claim for the test is given as follows:
"There is a significant difference in lifespan for people in the two towns."
At the null hypothesis, we test if the claim is false, that is, if there is not a significant difference in lifespan for people in the two towns, hence:
\(\mu_A = \mu_B\)
\(\mu_A - \mu_B = 0\)
At the alternative hypothesis, we test if the claim is true, that is, there is a significant difference in lifespan for people in the two towns, hence:
\(\mu_A \neq \mu_B\)
\(\mu_A - \mu_B \neq 0\)
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