The unit rate is calculated by dividing the total quantity by the given time unit. For Mitch who ate 45 hot dogs in 3 minutes, his unit rate was 15 hot dogs per minute.
Unit rate is the ratio of a quantity to one, such as miles per hour or cost per item. To find Mitch's unit rate of hot dogs eaten per minute, we divide the total number of hot dogs by the time taken. In this case, Mitch ate 45 hot dogs in 3 minutes, so his unit rate is 45 hot dogs / 3 minutes = 15 hot dogs per minute.
What is (f-g)(X) ? I'm confused help
A bookstore has a sale:
Jim wants to buy two books for $10.00 each. By what percent is the total cost of the two books reduced during the sale?
We cannot calculate the percentage reduction in price because the question does not provide enough information. We need the sale price, as well as the original price, to determine the percentage reduction. The formula used is Percentage Reduction = ((Original Price - Sale Price) / Original Price) * 100.
Explanation:To determine the percentage by which the total cost of the two books is reduced during the sale, we first need to know the original price and the sale price of the books. The original price for two books, according to Jim, is $10 each which means the total cost is $20. However, we are not given the information about the sale price of the books, hence we cannot calculate the percent reduction.
We use the formula: Percentage Reduction = ((Original Price - Sale Price) / Original Price) * 100. Despite having the original price, without information on the sale price, solving the problem is impossible.
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how do I do the second one on the picture and what is the answer
Which of the following best describes the expression 3x + 2y + 8z?
The product of three sums; there are three terms
The sum of three products; there are three terms
The product of three sums; there are six terms
The sum of three products: there are six terms
Answer:
B. The sum of three products; there are three terms.
Step-by-step explanation:
We have been given an expression [tex]3x+2y+8z[/tex]. We are asked to choose the sentence which best describes our given expression.
We can see that our given expression has three variables and each of them is multiplied by a number. Therefore, there are three terms is our given expression.
We can see that each term is product of a number and variable and all terms are being added, therefore, our expression represents the sum of three products and option B .
find the value of x and then classify the triangles
Answer:
6) x = 16°, scalene triangle
7) x = 45°, right triangle
Explanation:
The sum of all angles within a triangle is 180 degrees so if given two angles, we can set up an equation to solve for the missing third angle.
For question 6, our equation is 39 + 125 + x = 180. Let's solve and then classify:
39 + 125 + x = 180
164 + x = 180
164 - 164 + x = 180 - 164
0 + x = 180 - 164
x = 16
Because no two angles within the triangle have the same measure and no two legs on its edges have the same length, its classification is a scalene triangle.
For question 7, the triangle has a box that indicates one of its known angles is 90 degrees. So our equation is 90 + 45 + x = 180. Let's solve and then classify:
90 + 45 + x = 180
135 + x = 180
135 - 135 + x = 180 - 135
0 + x = 180 - 135
x = 45
Because the triangle contains a right angle indicated by that same box we used to derive that one of the angles measured 90 degrees, we can determine that this classification is a right triangle.
Robert drove at an average speed of 60 miles per hour for 6 hours. Nancy drove for 7 hours at an average speed of 56 miles per hour. Which method shows a way to calculate the difference in the distances they drove? A.Step 1 Divide: 60 ÷ 6.Step 2 Divide: 56 ÷ 7. Step 3 Subtract the two quotients. B.Step 1 Divide: 60 ÷ 6. Step 2 Divide: 56 ÷ 7. Step 3 Add the two quotients. C.Step 1 Multiply: 60 × 6. Step 2 Multiply: 56 × 7. Step 3 Add the two products. D.Step 1 Multiply: 60 × 6. Step 2 Multiply: 56 × 7. Step 3 Subtract the two products.
Write the quadratic equation whose roots are 6 and -4 , and whose leading coefficient is 5. (Use the letter x to represent the variable.)
The quadratic equation for this would be f(x) = 5x^2 - 10x - 120.
In order to find that, we need to start by taking our x intercept values and setting them equal to zero.
x = 6 ----> subtract 6 from both sides
x - 6 = 0
x = -4 ----> add 4 to both sides
x + 4 = 0
Now that we have both of these zero terms, we can multiply them to get a standard form.
f(x) = (x - 6)(x + 4)
And while this will give us the zeros we need, it will no give us the lead coefficient. So we must multiply by the desired lead coefficient.
f(x) = 5(x - 6)(x + 4)
f(x) = 5(x^2 - 6x + 4x - 24)
f(x) = 5(x^2 - 2x - 24)
f(x) = 5x^2 - 10x - 120
The quadratic equation whose roots are 6 and -4, and leading coefficient is 5 is 5x^2 - 10x - 120 = 0.
Explanation:To write the quadratic equation whose roots are 6 and -4 with a leading coefficient of 5, we make use of the general form of a quadratic equation ax^2 + bx + c = 0. Knowing that the roots can be represented as (x - root1)(x - root2) = 0, we can form the equation as x^2 - (root1 + root2)x + root1*root2 = 0. Here, root1 is 6 and root2 is -4.
Plugging these values into the equation, we get:x^2 - (6 - 4)x + 6*-4 = x^2 - 2x - 24 = 0. Finally, we multiply this entire equation by the leading coefficient of 5 to get 5x^2 - 10x - 120 = 0.
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Can someone please help me on number 13
If x is to 6 as 10 is to 15, then x is equal to
There are (10^8)^2 ⋅ 10^0 candies in a store. What is the total number of candies in the store?
1
10^10
10^16
10^17
^ = the power of...
Equality of complex numbers:
please help me answer questions 9 & 10 in the photo.
****Must show step by step guide to how you got your answers***
Answer:
By comparison, 2x = 4 and x + y = -5.
2x = 4 implies that x = 4/2 = 2
x + y = -5 implies that y = -5 - x = -5 - 2 = -7.
Step-by-step explanation:
Por 8 días de trabajo, 12 obreros han cobrado $640 ¿Cuánto ganarán por 16 días, 15 obreros con los mismos jornales? (APLICAR REGLA DE TRES)
A size 8 kids shoe measures 9 2/3 inches. If 5 pairs of size 8 shoes are lined end to end, then how many inches will they cover?
A. 36 2/3 b. 48 1/3 c. 77 1/3 d. 62
Final answer:
To find the total length that 5 pairs of size 8 shoes will cover, multiply the length of one pair by the number of pairs. The total length will be 48 1/3 inches.
Explanation:
To find the total length that 5 pairs of size 8 shoes will cover, we need to multiply the length of one pair by the number of pairs. Since a size 8 kids shoe measures 9 2/3 inches, we can multiply this by 5 to find the total length.
Step 1: Convert the mixed number,16/3, to an improper fraction: 9 2/3 = (9*3 + 2)/3 = 29/3 inches.
Step 2: Multiply the length of one pair by the number of pairs: (29/3) * 5 = 145/3 inches.
Step 3: Simplify the fraction: 145/3 = 48 1/3 inches.
a parade traveled 9 miles in 3 minutes and how far did the parade travel per minute
It is given in the question that a parade traveled 9 miles in 3 minutes.
Here distance is 9 miles and time is 3 minutes.
We have to find how many miles travelled per minute. It means , we have to find the speed, and the formula of speed is
[tex]speed = \frac{distance}{time}[/tex]
Substituting the values of distance and time, we will get
[tex]speed = \frac{9}{3} miles/minutes[/tex]
[tex]speed = 3 miles/minutes[/tex]
Therefore the parade travelled 3 miles per minute .
Karen's mother picked 3 pears for every 7 apples she picked. If she picked a total of 170 items, how many were pears?
Final answer:
Karen's mother picked 51 pears. The ratio of pears to apples picked was 3:7, and using the total number of items (170), we set up and solved two equations to find the number of pears.
Explanation:
The question is about determining how many pears were picked if Karen's mother picked 3 pears for every 7 apples, with a total of 170 items picked. Let's let P represent the number of pears and A represent the number of apples. We know the following ratios and totals:
3 pears for every 7 apples, so P:A = 3:7 The total number of items picked is 170, so P + A = 170We can use these ratios to set up two equations:
P = 3/7 * A P + A = 170By substituting the first equation into the second, we get:
(3/7 * A) + A = 170
This simplifies to:
(10/7) * A = 170
Dividing both sides by (10/7) we find:
A = 170 * (7/10)
A = 119
Substituting A back into the P + A equation:
P + 119 = 170
P = 170 - 119
P = 51
So, Karen's mother picked 51 pears.
i really need this answered!!! please help!
If I am correct, I think you have to subtract 121 degrees from 79 degrees, and the answer would be:
B. 48 degrees
A cup has 4 pencils, 3 black pens, 1 blue pen, and 5 red pens. What is the probability of selecting a black or blue pen?
NEED HELP FAST
Read the complete problem before answering. Tessa made a block tower that was 1 1/8 ft tall. She made a second block tower that was 2 3/4 ft tall. What was the combined height of the towers? A student solved the problem this way: 1 1/8 + 2 3/4 = 1 1/8 + 2 6/8 = 3 7/8 The combined height of the towers was 3 7/8 ft tall. Use a similar strategy to solve this problem. Martina made a block tower that was 2 1/3 ft tall. She had a toy giraffe that was 1 1/3 ft tall. She had another tower that was 3 1/4 ft tall. How tall would the towers be if placed one on top of the other?
Answer:
5 7/12
Step-by-step explanation:
28/12 + 39/12 = 67/12 = 5 7/12
y=2x-1
3y=6x-5
Please help
if you want to place an 8 1/2 inch towel bar in the center of a door that is 25 1/2 wide, how much space will be on each side of the towel bar?
on the first five performance scores at work,your score were:84,83,92,80, and 95.On the average, what was the score?
a.62
b.84.75
c.86.8
d.88.5
43 5/12 x 11 Please help
2. A triangular pyramid begins with these coordinates:
P(–1, 2, 0)
Y(2, 3, 0)
R(–3, 4, 0)
A(–2, 1, 5)
The pyramid is then reflected over the yz-plane. The reflected image is then translated using the following rule: (x, y, z) (x + 2, y + 4, z – 3). Determine the coordinates of that final image, following these steps:
1. Write the general rule you use for the reflection. (4 points)
2. What would be the new points of the shape after this reflection? (4 points)
3. Now, use the points from number 2 and apply the translation rule. Show the results of your calculations for that translation. (4 points)
helga works 20 hours per week she makes $12 a hour how do you translate into a algebraic equation
The algebraic equation that represents Helga's earnings per week, where she works 20 hours at $12 per hour, can be written as y = 20x. In this equation, 'y' represents her weekly earnings and 'x' stands for her hourly rate. Substituting x with 12 will compute Helga's total weekly earnings which equates to $240.
Explanation:The problem states that Helga works 20 hours per week and earns $12 for each hour of work. This situation can be translated into a simple algebraic equation, which is the tool you use in mathematics to represent real-world situations. In this case, the total earnings Helga gets every week is the product of the hours she works and her hourly rate. This can be expressed by the following equation:
y = 20x
Where:
y represents Helga's weekly earnings.x corresponds to Helga's hourly wage of $12.So, if you substitute x with 12 in the equation, you would get:
y = 20 * 12 = 240
Therefore, Helga earns $240 weekly.
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The original value of a Tv is $2300. As a new model of TVs become available, the value decreases by 2% each year. What will the value of the Tv be in 7 years? Show the steps you took to solve this problem, including the function you created.
Daniel surveyed a random sample of 100 students from his middle school to learn more about what type of school lunches are preferred. The table below shows the result of the survey: Hamburgers Spaghetti Pizza Sample #1 13 43 44 Sample #2 20 41 39 Which of the following inferences can be made based on the data?
Pizza is the most preferred lunch.
Spaghetti and pizza are preferred almost equally.
Hamburgers are two times more popular than pizza.
Hamburgers are two times more popular than spaghetti.
Question 11(Multiple Choice Worth 5 points) (08.03 MC) The two dot plots below compare the forearm lengths of two groups of schoolchildren: Two dot plots are shown one below the other. The title for the top dot plot is Forearm Length, Group A and the title for the bottom plot is Forearm Length, Group B. Below the line for each dot plot is written Length followed by inches in parentheses. There are markings from 9 to 12 on each line at intervals of one. For the top line there are 3 dots above the second mark, 4 dots above the third mark and 3 dots above the fourth mark. For the bottom line there are 3 dots above the first mark, 5 dots above the second mark, and 2 dots above the third mark. Based on visual inspection of the dot plots, which group appears to have the longer average forearm length?
Group A, because seven children have a forearm length longer than 10 inches
Group B, because two children have a forearm length longer than 10 inches
Group A, because one child in the group has the least forearm length of 9 inches
Group B, because three children in the group have the least forearm length of 9 inches
Question 12(Multiple Choice Worth 5 points) (08.02 MC) The two dot plots below show the heights of some sixth graders and some seventh graders: Two dot plots are shown one below the other. The title for the top dot plot is Sixth Graders and the title for the bottom plot is Seventh Graders. Below the line for each dot plot is written Height followed by inches in parentheses. There are markings from 52 to 57 on the top line and the bottom line at intervals of one. For the top line there are 2 dots above the first mark, 1 dot above the second mark, 1 dot above the third mark and 2 dots above the fourth mark. For the bottom line, there is 1 dot for the first mark, there is 1 dot above the second mark, there is 1 dot above the third mark, there is 1 dot above the fourth mark and there are two dots above the sixth mark. The mean absolute deviation (MAD) for the first set of data is 1.2 and the MAD for the second set of data is 1.7. Approximately how many times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders? (Round all values to the tenths place.)
1.2
1.4
2.4
2.8
find the volume of each prism round to the nearest tenth if necessary
V=1 /4*h*sqrt(﹣a^4+2(ab)^2+2(ac)^2﹣b^4+2(bc)^2﹣c^4)
h = sqrt(3^2 + 5^2) = 5.80
Answer: 43.63 units^3
During one week, Josh ran 36 miles, Corey ran 26 miles, Rhona ran 30 miles, and Lyndsay ran 28 miles. What is the mean distance run by the four students?
A. 29 miles
B. 30 miles
C. 36 miles
D. 120 miles
The mean distance ran by all four of them is 30.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that during one week, Josh ran 36 miles, Corey ran 26 miles, Rhona ran 30 miles, and Lyndsay ran 28 miles.
A mean in math is the average of a data set, found by adding all numbers together and then dividing the sum of the numbers by the number of numbers. Mathematically, we can write -[tex]${\displaystyle {\bar {x}}={\frac {1}{n}}\left(\sum _{i=1}^{n}{x_{i}}\right)={\frac {x_{1}+x_{2}+\cdots +x_{n}}{n}}}[/tex]
We can write the mean as -
m = (36 + 26 + 30 + 28)/4
m = 120/4
m = 30
Therefore, the mean distance ran by all four of them is 30.
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A car in rush hour traffic travels 1/2 of a mile in 1/8 of an hour. If the car continues to travel at the same rate, how many miles will it travel in 1 hour.
What are these two answers? please help.