To calculate the discount amount on an item with a regular price during a sale of 40% off, use the function d(p) = 0.40 x p.
The question involves creating a mathematical function to calculate the amount of discount during a sale. The store is offering a 40% discount on items, so to find the discount amount d on an item with a regular price p, we can write the function as d(p) = 0.40 * p. Here, p represents the regular price of the item, and d represents the discount amount in dollars that will be subtracted from the regular price.
Two separate single-factor anovas provide exactly the same information that is obtained from a two-factor analysis of variance.
a. True
b. False
Please help me?
3x - 4y = 7
3x + 2y = -5
When the second equation is subtracted from the first, the resulting equation is _____.
A. -6y = -12
B. -6y = 12
C. -2y = -12
D. 2y = 12
The measures of the three angles of a triangle are given. Find the value of x and state whether the triangle is acute, obtuse or right. x + 10, x − 20, x + 25
A. x = 25, acute
B. x = 55, acute
C. x = 65, right
Answer:
x=55 acute
Step-by-step explanation:
Because of the 3-6 theorum of triangles
Person is randomly selected. what is the probability that the person is:
a.color-blind given that the person is male? 69/133
b.male and color-blind?
The probability that a person is color-blind given they are male is 69/133. Calculating the probability of being both male and color-blind requires additional information about the total and male population. This showcases the importance of context in probability calculations.
Explanation:The question involves calculating the probability of specific conditions related to color-blindness and gender. To address both parts of the question:
For part a, the probability that a person is color-blind given that the person is male is directly provided as 69/133. This means out of all males considered, approximately 51.88% have color-blindness.For part b, determining the probability of being male and color-blind would require more specific data, such as the total number of people or the ratio of males to females, and how many among them are color-blind. If we consider the probability for a male to be color-blind is 69/133, this probability is only valid within the male population; it does not directly give us the probability of being both male and color-blind unless the total population is known and the proportion of males within that population is specified.Understanding probabilities in genetics, like color-blindness, often involves considering various factors including the overall population and specific subgroups within that population (such as males in this case).
Elizabeth bought 4 drinks and some nachos. The nachos cost $6, and she spent a total of $18. How much did each drink cost? Use d to represent the cost of each drink. A. ; each drink cost $4. B. ; each drink cost $6. C. ; each drink cost $2. D. ; each drink cost $3.
The drink costs $3 for each.
The correct option is (D)
What is Algebra?Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.
Number of drinks= 4
Cost of Nachos = $6.
Total money spend =$18
After removing the prices from total money spend, we will get the price for 4 drinks
So, 18-6= $12
Cost for 4 drinks =12
Cost of 1 drink =12/4 = $3
Hence, each drink cost $3.
Learn more about algebra here:
brainly.com/question/953809
#SPJ2
Clyde Cement wants to analyze a shipment of bags of cement. He knows the weight of the bags is normally distributed so he can use the standard normal distribution. He measures the weight of 600 randomly selected bags in the shipment. Next, he calculates the mean and standard deviation of their weights. The mean is 50 lbs and the standard deviation is 1.5 lbs. What percentage of the bags of cement will weigh less than 50 lbs.? 50 60 75 80
Answer:
50%
Step-by-step explanation:
First, draw a normal distribution plot to use for the analysis of the data. Starting at the mean in the centre. Add one standard deviation for each interval to the right, and subtract one standard deviation for each interval to the right. See attached image. According to the empirical rule, 68% of data lies within one standard deviation of the mean, 95 % of the data is within two st. dev. and 99.7% of the data is within 3 st. dev. of the mean.
From the graph it can be deducted that half of the data will lie below 50, which makes it 50%.
An easier way of determining the answer is to use the definition of a mean. A mean is the number that,when all the data is placed in ascending order, lies right in the middle of all the data.
In a normal distribution, 50% of the values lie below the mean. Therefore, 50% of the bags will weigh less than 50 lbs.
The question involves understanding the properties of a normal distribution where the mean weight of the bags is 50 lbs, and the standard deviation is 1.5 lbs. To determine the percentage of bags weighing less than 50 lbs, we look at the standard normal distribution. Since 50 lbs is the mean, exactly 50% of the bags will weigh less than this amount. This is because, in a normal distribution, the mean divides the distribution so that half the values are below the mean and half are above it.
A scale drawing of a kitchen is shown below. The scale is 1 : 20.
Show your work to determine the area of the room in square feet.
Answer:
Step-by-step explanation:
B
((8x1.95) + (3x2.95) + 10.95) x 1.06
125m on the ground corresponds to 2.5 cm on a map. What is the actual distance between two objects if they are 4.2 cm apart on the map?
If a 16-ounce box of candy costs $8.95, how much does one ounce cost? Round your answer to the nearest cent.
The cost of admission to an amusement park is $9.50 plus $1.50 per ride. What would the cost be for someone who went on 9 rides? show your work and explain
The cost for someone who went on 9 rides is $23.
What is equation?An equation is a mathematical sentence that has two equal sides separated by an equal sign.
Given that, The cost of admission to an amusement park is $9.50 plus $1.50 per ride.
The equation can be made,
C = 9.50 + 1.50n, where n is the number of rides.
For n = 9
C = 9.50 + 1.50*9 = $23
Hence, The cost for someone who went on 9 rides is $23.
For more references on equations, click;
https://brainly.com/question/29538993
#SPJ2
the weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grans. What is the weight of each tire in pounds? There are 453.592 grams in one pound. Round answers to 2 decimal places.
Answer:
Weight of full steel bead tire=1.76 pounds
weight of lighter wheel=1.54 pounds.
Step-by-step explanation:
it is given that:
The weight of a full steel bead tire is approximately 800 grams.
lighter wheel weighs only 700 grams.
Now we are given conversion that:
There are 453.592 grams in one pound.
Hence, 1 gram=1/453.592 pounds.
Hence, weight of a full steel bead tire is:
[tex]\dfrac{800}{453.592}pounds=1.76pounds[/tex]
Also weight of lighter wheel in pounds is:
[tex]\dfrac{700}{453.592}pounds\\\\=1.54 pounds[/tex]
Can someone help?!
1. List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Length:
Width:
Height:
Answer:
Length
Step-by-step explanation:
mhm
1) The dimensions of the rectangular prism or box which I found are:
Length: 6 inchesWidth: 2.5 inchesHeight: 12 inches (1 foot)2) The shape of the cross-section when the box is cut parallel to the base will be a rectangle.
3) Surface Area of the box is234 in²
4) Surface Area of the box if scaled up by a factor of 10 is 23,400 in²
5) Volume of the box: 180 in³
6) Volume of the box if scaled down by a factor of 1/10 is 0.18 in³
Given:
Dimensions of the box to be:
Length: 6 inches
Width: 2.5 inches
Height: 12 inches (1 foot)
1) The shape of the cross-section when the box is cut parallel to the base will be a rectangle.
2) To calculate the surface area of the box:
Surface Area = 2*(Length*Width + Length*Height + Width*Height)
Surface Area = 2*(6*2.5 + 6*12 + 2.5*12)
Surface Area = 2*(15 + 72 + 30)
Surface Area = 2*(117)
Surface Area = 234 in²
3) If the box is scaled up by a factor of 10, the new dimensions would be:
Length: 6 inches * 10 = 60 inches
Width: 2.5 inches * 10 = 25 inches
Height: 12 inches * 10 = 120 inches
To find the new surface area:
New Surface Area = 2*(60*25 + 60*120 + 25*120)
New Surface Area = 2*(1500 + 7200 + 3000)
New Surface Area = 2*(11700)
New Surface Area = 23,400 in²
4) The volume of the box:
Volume = Length * Width * Height
Volume = 6 * 2.5 * 12
Volume = 180 in³
5) If the box is scaled down by a factor of 1/10, the new dimensions would be:
Length: 6 inches * 0.1 = 0.6 inches
Width: 2.5 inches * 0.1 = 0.25 inches
Height: 12 inches * 0.1 = 1.2 inches
To find the new volume:
New Volume = Length * Width * Height
New Volume = 0.6 * 0.25 * 1.2
New Volume = 0.18 in³
Full Question:
Although part of your question is missing, you might be referring to this full question:
Search your home for a rectangular prism. Some examples are a cereal box, a CD case, or a coffee table. Measure your prism using appropriate units, such as inches, centimeters, or feet.
Complete the following. Show all work for calculations.
List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Length:
Width:
Height:
Describe the shape of the cross section when the box is cut parallel to the base.
What is the surface area of the box?
What is the surface area of the box if it is scaled up by a factor of 10?
What is the volume of the box?
What is the volume of the box if it is scaled down by a factor of 1/10?
PLS HELP!
Rohan is checking in poodles for a dog show. A miniature poodle must be between 10 in. and 15 in. at the shoulder. The body length must be no more than 16 in. In addition, the poodle’s shoulder height must be no more than 1 in. longer than its body length.
The graph shows the feasible region, where x represents the poodle’s body length and y represents the shoulder height.
Which ordered pairs meet all the constraints for a successful poodle measurement and make sense in context of the situation?
Select each correct answer.
(15, 11)
(11, 9)
(11, 14)
(10, 12)
(12, 10.5)
Answer:
(15, 11) and (12, 10.5).
Step-by-step explanation:
Let x represents the poodle’s body length and y represents the shoulder height.
A miniature poodle must be between 10 in. and 15 in. at the shoulder.
[tex]10\leq y\leq 15[/tex]
The body length must be no more than 16 in.
[tex]0\leq x\leq 16[/tex]
The poodle’s shoulder height must be no more than 1 in. longer than its body length.
[tex]y\le1+x[/tex]
From the below figure it is clear that only two points (15, 11) and (12, 10.5) lie in the feasible region.
Therefore, ordered pairs (15, 11) and (12, 10.5) meet all the constraints for a successful poodle measurement and make sense in context of the situation.
What is the unit rate for 644.8 ft in 31 s?
divide feet by seconds
644.8 / 31 = 20.8 feet per second
Answer:
644.8 divided by 31 and you should get 20.8Step-by-step explanation:
644.8 divided 31=20.8 just put it in the calculator and you can get your answer :)how can you use the properties of real numbers to simplify algebraic expressions
The table shows the weekly change in the water level in a swimming pool. After 4 weeks, the pool owner adds water to return the water level back to the original level. Raising the water level by 1 inch requires 320 gallons. The water hose has a flow rate of 5.75 gallons of water per minute. Will it take less than an hour to fill the pool back to return the water level to the original level? Explain your reasoning.
Week: 1 2 3 4
Change (in.) : - 1/2 3/4 -1 1/8 -1 3/8
If UV = KL and KL = 6, then UV = 6
A tow truck charges a service fee of $50 and an additional fee of $1.75 per mile. What distance was Marcos's car towed if he received a bill for $71?
To find the distance Marcos's car was towed, subtract the service fee from the total bill amount. Then divide the remaining bill amount by the additional fee charged per mile. The distance towed is 12 miles.
Explanation:To find the distance Marcos's car was towed, we need to subtract the service fee from the total bill amount. The additional fee charged per mile is $1.75, so we can calculate the number of miles towed by dividing the remaining bill amount by $1.75.
Let's assume the distance towed is 'x' miles.
The total bill amount is $71, and the service fee is $50. Therefore, the additional fee charged for the distance towed is $71 - $50 = $21.
So we can write the equation:
$21 = $1.75 * x
To solve for 'x', we divide both sides of the equation by $1.75:
x = $21 / $1.75
x = 12 miles
Therefore, Marcos's car was towed for a distance of 12 miles.
Learn more about Calculating distance towed here:https://brainly.com/question/23798725
#SPJ2
Chris draws an image of two lines that lie in the same plane and are equidistant at all points .Which of this describes the image drawn by Chris
The answer for this question is parallel lines
A line slope is 1 and its y intercept is 2 what is its equation in slope intercept form
Write your answer using integers proper fractions and improper fractions in simplest form
[tex]\[ y = x + 2 \][/tex] is the equation in slope-intercept form.
To find the equation of a line given its slope and y-intercept, we use the slope-intercept form: ( y = mx + b ), where ( m ) is the slope and ( b ) is the y-intercept.
Given that the slope ( m = 1 ) and the y-intercept ( b = 2 ), we substitute these values into the equation:
[tex]\[ y = 1x + 2 \][/tex]
[tex]\[ y = x + 2 \][/tex]
This is our equation in slope-intercept form.
Now, let's show the detailed calculation:
1. Start with the slope-intercept form: ( y = mx + b ).
2. Substitute ( m = 1 ) and ( b = 2 ) into the equation: ( y = 1x + 2 ).
3. Simplify: ( y = x + 2 ).
So, the equation of the line is \( y = x + 2 \). This means the line has a slope of 1 and passes through the point (0,2) on the y-axis.
Help please pre calculus
put 7.6*10^-4 into the equation:
10log(1/7.6*10^-4)
this equals 31.19 db
A CD tower is shaped like a cylinder and holds CDs with a diameter of 4.75 inches. If the CD tower is 12 inches tall, what is the volume, in cubic inches, that it can hold? Use 3.14 for pi. Round your answer to the nearest hundredth.
212.54 in3
231.56 in3
850.16 in3
867.34 in3
Answer: 212.54 in3
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a cylinder: π r² h
Where:
r = radius (also r= diameter /2) h= heightReplacing with the values given:
r = 4.75/2 = 2.375 in
h = 12in
V = π r² h
V= π (2.375)² (12) = 3.14 (5.640625) 12 =212.54 in3
So, the correct option is 212.54in3
Feel free to ask for more if needed or if you did not understand something.
what type of figures are shown?Which scale factor changes the small to the large version
Answer: Kites, 1.5
Step-by-step explanation: Here to help from da interim checkpoint :)
There are 30 homes in Neighborhood A. Each year, the number of homes increases by 20%. Just down the road, Neighborhood B has 45 homes. Each year, 3 new homes are built in Neighborhood B.
Part A: Write functions to represent the number of homes in Neighborhood A and Neighborhood B throughout the years. (4 points)
Part B: How many homes does Neighborhood A have after 5 years? How many does Neighborhood B have after the same number of years? (2 points)
Part C: After approximately how many years is the number of homes in Neighborhood A and Neighborhood B the same? Justify your answer mathematically. (4 points)
Part A)
y = total houses, x = number of years
Neighborhood A y = 30*(1.20)^x
Neighborhood B : y = 45 +3x
Part B) neighborhood A has : 30 *1.2^5 = 74.65 = 75 houses
neighborhood B has: 45 +3(5) = 45 +15 = 60 houses
Part C)
30* 1.2^x = 45 +3x =
x = 3.3
check:
30 *1.2^3.3 = 54.75 = 55
45 + 3(3.3) = 45+9.9 = 54.9 =55
so 3.3 years round to 3 years
Answer:
Part A)
y = total houses, x = number of years
Neighborhood A y = 30*(1.20)^x
Neighborhood B : y = 45 +3x
Part B) neighborhood A has : 30 *1.2^5 = 74.65 = 75 houses
neighborhood B has: 45 +3(5) = 45 +15 = 60 houses
Part C)
30* 1.2^x = 45 +3x =
x = 3.3
check:
30 *1.2^3.3 = 54.75 = 55
45 + 3(3.3) = 45+9.9 = 54.9 =55
so 3.3 years round to 3 years
Step-by-step explanation:
Please help with a multiple choice question!!
Relationship B has a greater rate than Relationship A. This graph represents Relationship A.
Which equations could represent Relationship B?
Select each correct answer.
A) y=1/2x
B)y = 3x
C)y = 2.2x
D)y = 1.4x
Which set of ordered pairs could be generated by an exponential function?
A. (1, 1) (2, 1/2) (3, 1/3) (4, 1/4)
B. (1, 1) (2, 1/4) (3, 1/9) (4 1/16)
C. (1, 1/2) (2, 1/4) (3, 1/8) (4, 1/16)
D. (1, 1/2) (2, 1/4) (3, 1/6) (4, 1/8)
The correct answer is:
C. (1, 1/2) (2, 1/4) (3, 1/8) (4, 1/16)
Explanation:
In order to be an exponential function, the y-coordinates of each point should be multiplied by a constant to get the next y-coordinate. For C, we multiply by 1/2:
1/2(1/2) = 1/4; 1/4(1/2) = 1/8; 1/8(1/2) = 1/16
This means it is an exponential function.
Is this statement true or false? If two lines are intersected by a transversal so that the alternate interior angles are congruent, then the lines are parallel.If two lines are intersected by a transversal so that the alternate interior angles are congruent, then the lines are parallel.
The statement " If two lines are intersected by a transversal so that the alternate interior angles are congruent, then the lines are paralle " is true.
What is Property of Parallel lines?If the corresponding angles created by any two lines are equal, then the lines are said to be parallel.If the alternate internal angles created are equal, any two lines are considered to be parallel.If the alternate outside angles created are equal, any two lines are considered to be parallel.Given:
If two lines are intersected by a transversal so that the alternate interior angles are congruent, then the lines are parallel.
We know whenever we have parallel line intersected by transversal line then we Alternate Interior Angle, Corresponding Angle, Alternate Exterior Angle, are congruent.
Thus, the statement showing when we have Alternate Interior Angle congruent then the lines were be parallel lines.
Hence, the statement is True.
Learn more about Parallel line here:
https://brainly.com/question/16701300
#SPJ2
2y+7x=4;x=5,10,15 PLEASE HELP ASAP!!!!
Final answer:
To solve the equation 2y+7x=4 for x=5, x=10, and x=15, substitute each value into the equation and solve for y to get y=-15.5, y=-33, and y=-50.5 respectively. It’s important to check the solutions by substituting them back into the original equation.
Explanation:
To solve the given linear equation 2y+7x=4 for different values of x (x=5, x=10, x=15), we need to substitute these values of x into the equation and solve for y. Here’s how it can be done:
For x=5: 2y + 7(5) = 4.A line-marking machine lays down lime powder to mark two equal foul lines on a playing field. If each line for this field measures 311 feet, how many feet of lime powder will be deposited?
The machine will deposit 622 feet of lime powder to mark both foul lines on the playing field.
To solve this problem, we need to consider that the line-marking machine is laying down lime powder to mark two equal foul lines on a playing field. Each foul line measures 311 feet.
Since there are two lines of equal length, we simply need to add the lengths of these two lines together to find the total amount of lime powder deposited.
Here is the calculation:
Length of one foul line = 311 feet
Number of foul lines = 2
Total length of lime powder deposited = Length of one foul line [tex]\times[/tex] Number of foul lines
Total length of lime powder deposited = 311 feet [tex]\times[/tex] 2
Total length of lime powder deposited = 622 feet.