Divide by 2 to find the unit rate and multiply by 7 to find the cost of 7 units.
20.5/2 = 10.25.
10.25 times 7 = 71.75
It will cost $71.75 to buy 7 tickets.
A reference book with 250 pages has 1 page without pictures.
What percent of the pages do not have pictures?
O 0.1%
O 0.4%
O 0.5%
0 1.1%
Answer:
0.4 %
Step-by-step explanation:
Given:
total number of pages = 250number of pages without pictures = 1Percent of pages that do not have pictures = (number of pages without pictures ÷ total number of pages) × 100%
= 1/250 × 100%
= 0.004 × 100%
= 0.4 %
Answer:
0.4%
explanation:
without pages: 1total page: 250solve:
[tex]\sf \dfrac{1}{250} * 100[/tex]
0.4%
Xavier drove his car 70 miles with 7 gallons of fuel. How many more miles can he drive if he added 1 gallon of fuel?
i think 10 more miles.
70/7=10
which means he gets 10 more miles for every gallon of fuel
How many square feet of carpet are needed to cover the floor of a rectangular room 18 ft. by 12 ft.?
Answer: Area of the rectangular room = length x Breadth
Length= 18 and Breadth = 12
Therefore the Area required to cover the floor = 18 * 12 = 216 ft2
The area of the rectangular room is given by the equation A = 216 feet²
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangle be represented as A
Now , the equation will be
The length of the rectangular room = 18 feet
The width of the rectangular room = 12 feet
Area of Rectangle = Length x Width
Substituting the values in the equation , we get
Area of the rectangular room = 18 feet x 12 feet
On simplifying the equation , we get
Area of the rectangular room A = 216 feet²
Therefore , the value of A is 216 feet²
Hence , the area of the rectangular room is 216 feet²
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find a equation for the line below
Step-by-step explanation:
use the formula of the equation of line
Find the 7th term in the sequence -1,-5,-25
Answer:
-125
Step-by-step explanation:
-1 × 5 = -5
-5 × 5 = -25
-25 × 5 = -125
may anyone please help me with my math , Thank you very much. the choices are just S or N :)
Answer:
1. N, 2. S, 3. S, 4. S, 5. N*
Step-by-step explanation:
By "similar," I'm assuming you mean the same thing as "like" terms. Those are exactly the same (same variables and same exponents) but could have different coefficients (the number in front).
1. N variables are not the same
2. S variables are the same, exponents are the same
3. S same variables; same exponents (x^3 y^2 is the same as y^2 x^3)
4. S
5. N first term has z^2 in it; the second does not
*P.S. I'm having some trouble distinguishing your "two" from "zee."
If the 2nd expression is
[tex]\frac{1z zyx}{2}[/tex] then the terms are similar.
Determine the absolute value. Type the numerical answer only. l4l
Answer:
4
I hope this helps!
Jasmine is riding on a carousal. She is sitting 9.5 feet from the center and it takes 20 seconds to
complete a rotation. What is Jasmine's linear speed (rounded to the nearest tenth)?
Answer:
2.983 ft/sec
Step-by-step explanation:
Given that
Distance between center and Jasmine riding on a carousal = 9.5 feet
Time taken to complete one rotation = 20 seconds
To find:
Jasmine's linear speed = ?
Solution:
Number of revolutions per minute = [tex]\frac{60}{20} = 3[/tex]
Formula for linear speed is given as:
[tex]v=\dfrac{2\pi}{60}\cdot r\cdot RPM[/tex]
Where [tex]r[/tex] is the radius of circular path and
[tex]RPM[/tex] is the number of revolutions per minute.
[tex]v=\dfrac{2\pi}{60}\times 9.5 \times 3\\\Rightarrow v=\dfrac{\pi}{10}\times9.5 \\\Rightarrow v = \bold{2.983\ ft/sec}[/tex]
Therefore, the linear speed is 2.983 ft/sec.
write this ratio as a fraction in simplest form without any units
21 days to 5 weeks
Answer:
21/5
Step-by-step explanation:
21/5
Or
21/25
........
Under what circumstance can the quadratic function not be written in factored form
Answer:
When the discriminant of a quadratic function is negative than it is not be written in factored form.
Step-by-step explanation:
If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex], then
1. It is factorable if [tex]D=b^2-4ac\geq 0,[/tex] i.e., graph of function intersect the x-axis, roots of the function are real.
2. It is not factorable if [tex]D=b^2-4ac< 0,[/tex] i.e., graph of function does not intersect the x-axis, roots of the function are imaginary or complex.
It means, the quadratic function not be written in factored form when the discriminant of a quadratic function is negative.
The partial blueprint for an office building shows one outer wall and a perpendicular inner wall. Which of the following could be the equation of the inner wall, if the outer wall is represented by the equation y = 2/5x − 1?
Please help I am struggling really badly
Answer:
The equation of the perpendicular line:
2x + 5y = ╼ 15
can someone answer this question now
Answer:
1. C 20, 23
2. A 40, 36
3. 00:25, 00:20
4. 0:54, 1:00
5. 0:31, 0:30
Which of the following is the best first step to convert the following equation to slope
intercept form?
2-4y =-12
Answer: y=7/2 in decimal form 3.500
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2-4*y-(-12)=0
Pull out like factors :
14 - 4y = -2 • (2y - 7)
Solve : 2y-7 = 0
Add 7 to both sides of the equation :
2y = 7
Divide both sides of the equation by 2:
y = 7/2 = 3.500
Find the value of -3p²+4p+7 if p= -2
Answer:
-13
Step-by-step explanation:
-3(-2)^2 + 4(-2) + 7
-3(4) - 8 + 7
-12 - 8 + 7
-13
Hey there!
Plug in the value of p and solve:
-3p²+4p+7
-3(-2)²+4(-2)+7
-3(4)-8+7
-12-8+7
-12-1
-13
Hence, the answer is -13.
Hope everything is clear.
Let me know if you have any questions!
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:-)
I really need help please, any Expert willing to help me out? I don’t understand on #2, for a,b, and c.
Step-by-step explanation:
a) Tangent equals sine divided by cosine. Therefore:
tan(-t) = sin(-t) / cos(-t)
b) Using the fact that sin(-t) = -sin(t) and cos(-t) = cos(t):
tan(-t) = -sin(t) / cos(t)
tan(-t) = -tan(t)
c) A function is symmetric about the origin if f(-x) = -f(x) (in other words, if it's an odd function). Therefore, y = tan(t) is symmetric about the origin.
PLEASE SHOW ALL WORK
Maria ran 100 yards in 13.8 seconds. Mike ran 1 second slower than Maria. How long did it take Mike to run 100 yards?
Group of answer choices
14.8 seconds
15.8 seconds
12.8 seconds
Answer:
14.8
Step-by-step explanation:
Well, it says that Mike ran 1 second slower. Which means that it took more time for Mike to finish. So, you add 1 second to 13.8 seconds and the answer is 14.8.
Music lessons cost $20 per week. How much do 6 weeks of lessons cost?
Answer:
$120
Step-by-step explanation:
20*6=120
Answer:
$120
Step-by-step explanation:
If lessons cost $20 per week, multiply the cost ($20) by the amount of weeks (6);
20*6= 120
In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide standardized test for the students in her class. Instead of looking at the scores relative to the norms in the state, the teacher wants to understand the scores relative to the students who will be in the class. To do so, she decides to convert the test scores into z-scores relative to the mean and standard deviation of the students in the class. The mean test score in her upcoming class is 202, and the standard deviation is 38.2.
The following are the scores for some (not all) of her students. Complete the table using the dropdown menus.
Student Test Score z-score
A 126 1.25
B 98
C 97 -0.26
D 88
E 66 -1.88
F 95
G 111 0.47
H 105
The teacher wants to identify those students who may need extra challenge or extra help. As a first cut, she decides to look at students who have z-scores above z = 2.00 or below z = -2.00.
Identify the test score corresponding to each of the following z-scores. Round to the nearest whole number.
For z = 2.00, test score = ______.
For z - -2.00, test score = ______.
Answer:
A)
Student Test Score z-score
A 126 1.25
B 98 -2.772
C 97 -0.26
D 88 -2.984
E 66 -1.88
F 95 -2.801
G 111 0.47
H 105 -2.539
B)For z = 2.00, test score =278.4
For z - -2.00, test score =125.6
Step-by-step explanation:
Student Test Score z-score
A 126 1.25
B 98
C 97 -0.26
D 88
E 66 -1.88
F 95
G 111 0.47
H 105
Mean = [tex]\mu = 202[/tex]
Standard deviation = [tex]\sigma = 38.2[/tex]
For Student B
x= 98
[tex]Z=\frac{x-\mu}{\sigma}=\frac{98-202}{38.2}=-2.722[/tex]
For Student D
x= 88
[tex]Z=\frac{x-\mu}{\sigma}=\frac{88-202}{38.2}=-2.984[/tex]
For Student F
x= 95
[tex]Z=\frac{x-\mu}{\sigma}=\frac{95-202}{38.2}=-2.8010[/tex]
For Student H
x= 105
[tex]Z=\frac{x-\mu}{\sigma}=\frac{105-202}{38.2}=-2.539[/tex]
Now we are supposed to find test scores :
For z = 2.00
[tex]Z=\frac{x-\mu}{\sigma}\\2=\frac{x-202}{38.2}\\(2 \times 38.2)+202=x\\278.4=x[/tex]
For z = -2.00
[tex]Z=\frac{x-\mu}{\sigma}\\-2=\frac{x-202}{38.2}\\(-2 \times 38.2)+202=x\\125.6=x[/tex]
Hence ,For z = 2.00, test score =278.4
For z - -2.00, test score =125.6
You need 2.5 pounds of potatoes. If each potato weighs 5 ounces, how many potatoes will you need?
Answer:
40 potatoes.
Step-by-step explanation:
16 ounces make a pound, so you multiply that by 2.5 and you get 40.
An apartment has two closets. Closet #1 is 4 feet long and 5 feet deep; Closet #2 is 6 feet long and 3 feet deep. Both closets are 8 feet tall. Which closet is larger?
Answer:
Closet #1.
Step-by-step explanation:
Closet #1 is 4x5x8, right? so, 4x5=20, and 20x8=160 feet. Closet #2 is 6x3x8, and 6x3 is 18. That's already less than 20 even before we multiply by 8. So, the answer to your question is Closet #1.
Answer:
Answer: The first closet is larger.
Step-by-step explanation:
Closet #1
V = l × w × h
V = 4 ft. × 5 ft. × 8 ft.
V = 160 cu. ft.
Closet #2
V = l × w × h
V = 6 ft. × 3 ft. × 8 ft.
V = 144 cu. ft.
Compare the size of the closets
160 cu. ft. > 144 cu. ft.
Answer: The first closet is larger.
A farmer wants to seed and fence a section of land. Fencing costs $27 per yard. Grass seed costs $2 per square foot. How much does it cost to fence and seed the pasture?
A land for farming has a square-shaped piece of land and an isosceles triangular shaped piece of land that share a base. The square piece of land has a side length of 450 feet. The triangle has legs of 255 feet and height of 120 feet.
Answer:
$500625
Step-by-step explanation:
$27 per yard. Grass seed costs $2 per square foot. How much does it cost to fence and seed the pasture? A land for farming has a square-shaped piece of land and an isosceles triangular shaped piece of land that share a base. The square piece of land has a side length of 450 feet. The triangle has legs of 255 feet and height of 120 feet. area shape square = 450 *450 Square Area = 202500 SQft perimeter = 450* 4 =1800 Ft TRIANGLE = Hypotenuse is given by formula H=B√2 but height is already given = 120 and 255 area = Height * Base = 120 * 255 =Triangle Area = 30600 feet squared perimeter = 255 * 3 = 765 Ft fence perimeter is 765-255 = 510 feet total area = 202500+ 30600= 233100 square foot = 233100* $2 = (*2) = $466200 total fence = 765+510 = 1275 feet = 1275(*$27) = $34425 Total cost = 466200+34425 = $500625
Mr, Obrien needs to buy 8 television for the school. Each television costs $795. Mr. O'Brien has 120 fifty-dollar bills that he can use to pay for the televisions.
Part A.
How much will the 8 televisions cost?
Part B.
Does Mr. Obrien have enough money to buy all televisions he needs? If not, how many can he buy?
Answer:
A. $6360, B. He doesn't have enough money.
Step-by-step explanation:
Answer:
This answer is for only part A
1tv=$795
8 x 795 = 6,360
What is 12 5/25 as a mixed number simplest form?
Answer:
12 1/5
Step-by-step explanation:
5 can go into itself one time and 5 can go into 25 5 times hope that makes sense
Answer:
12 1/5
Step-by-step explanation:
A school board randomly samples 80 students to determine their opinion on requiring school uniforms for the next school year. The table shows the results of the survey.
Opposed: 11
Undecided: 24
In favor: 45
A) If 1,200 students are in the district, how many students can be expected to oppose school uniforms?
B) Bernice says that based on the survey, a student is more likely to be undecided or opposed than in favor. Do you agree or disagree? Why or why not?
Using proportions, it is found that:
A. 165 students can be expected to oppose school uniforms.
B. From the sample, the most likely outcome is in favor, as it got the most responses, hence we should disagree with Bernice.
What is a proportion?A proportion is a fraction of a total amount.
Item a:
Out of 80, 11 opposed, hence, out of 1200, we apply the proportion and find that the amount will be of:
1200 x 11/80 = 165.
Hence, 165 students can be expected to oppose school uniforms.
Item b:
From the sample, the most likely outcome is in favor, as it got the most responses, hence we should disagree with Bernice.
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what is 600 divided by 7
Answer: It is exactly 85.7142857143
But if you would like it rounded: 85.7
I would go with the second answer.
\
The solution of the expression is,
⇒ 85.72
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The expression is,
⇒ 600 divided by 7
Now, We can divide the numbers as;
⇒ 600 divided by 7
⇒ 600 ÷ 7
⇒ 85.72
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suppose the probability you will get an A in this class is .25 and the probability you will get a B is .50. What is the probability your grade will be above a C?
Answer:
75% chance
Step-by-step explanation:
Probability always adds to 1.00
Letter grades are always in the form A, B, C, D...
The grades above a C are A, which is a 25% chance and B, which has a 50% chance. Adding these up we get a 75% chance.
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The probability of getting a grade above a C is 0.75, or 75%.
We have,
To calculate the probability of getting a grade above a C, you need to add the probabilities of getting an A or a B.
Given:
Probability of getting an A (P(A)) = 0.25
Probability of getting a B (P(B)) = 0.50
A grade above a C includes grades of A and B.
Therefore, the probability of getting a grade above a C (P(above C)) is:
P(above C) = P(A) + P(B)
P(above C) = 0.25 + 0.50
P(above C) = 0.75
Thus,
The probability of getting a grade above a C is 0.75, or 75%.
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The middle of the upper half of a set of organized data is called
The middle of the upper half of a set of organized data is called the upper quarter.
How is called the middle of the upper half?We can divide the organized data in two halfs or in 4 quartiles (the interquartile range), where each quartile contains 25% of the data.
Such that each of the two halfs would be divided into two quartiles.
The middle of the upper half (where the third quartile ends and the fourth starts) is called the upper quarter.
So, concluding, the middle of the upper half of a set of organized data is called the upper quarter.
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9+8 divided by (-4)-12
Answer:
-1 1/16 if mixed number. If you want decimal form: -1.0625
Step-by-step explanation:
Your question was this:
9+8/(-4)-12
I want you first to get rid of the -4-12 and be done with it so here are the steps:
Rule: If negative subtract a negative, that shall be an addition problem with the larger number's symbol.
In this case, we need to add 4 and 12 together and include the negative symbol in front of the answer.
That shall be -16
Our Question now:
9+8/-16
So do 9+8 which is 17.
Our question now:
17/-16
Your answer is an improper fraction so you could change it to a mixed number or you could simply divide 17 and -16 to get a negative decimal.
Here are the possible answers:
Mixed Number: -1 1/16
Decimal Form: -1.0625
How much cash would you need to invest today if you knew you had to pay $1,000 each month for the next 5 years. Assume the annual interest rate is 12%. Round your answer to the nearest dollar.
Answer:
5600 $
Step-by-step explanation:
1000 multiply by 5 = 5000 multiply by 12 percent
600 add by 5000
5600
One pipe can fill a tank in 5 hours. A second can fill it in 3 hours. How long would it take both pipes together to make the tank 4 of the way full?
Answer:
An hour and a half 1.5
Step-by-step explanation: