Answer:
609
Step-by-step explanation:
ratio of teachers to students at Priory School =2:27
Let X= total number of both the students and the teacher
Ratio of teacher=( 2/29)X
Ratio of student is (27/29 )X
But total number of teacher = 42
2/29 ×X =42
2X= 42×29
2X=1218
X= 609
Hence, school's total population is 609
right rectangular prism has a square base with sides that are 7 meters in length. The height of the prism is 15 meters. Find the volume of the prism in cubic meters.
Answer:
The volume of the prism V = 735 cubic meters
Step-by-step explanation:
Explanation:-
Given that length of the rectangular prism(l) = 7 m
and also the width of the rectangular prism(w) = 7 m
The height of the rectangular prism = 15 m
The volume of the prism
V = l× w × h
V = 7 × 7× 15
V = 735 cubic meters
The volume of the prism V = 735 cubic meters
To complete a task in 15 days, a company has 4 people each working 8 hours a day. The company
decide to have 5 people each working 6 hours a day. Assume that each person works at the same
rate.
a) How many days will it take the 5 people to complete the task?
b)Comment on how the assumption affects your answer to part (a).
Answer:
Let's suppose that each person works at an hourly rate R.
Then if 4 people working 8 hours per day, a total of 15 days to complete the task, we can write this as:
4*R*(15*8 hours) = 1 task.
Whit this we can find the value of R.
R = 1 task/(4*15*8 h) = (1/480) task/hour.
a) Now suppose that we have 5 workers, and each one of them works 6 hours per day for a total of D days to complete the task, then we have the equation:
5*( (1/480) task/hour)*(D*6 hours) = 1 task.
We only need to isolate D, that is the number of days that will take the 5 workers to complete the task:
D = (1 task)/(5*6h*1/480 task/hour) = (1 task)/(30/480 taks) = 480/30 = 16
D = 16
Then the 5 workers working 6 hours per day, need 16 days to complete the job.
b) The assumption is that all workers work at the same rate R. If this was not the case (and each one worked at a different rate) we couldn't find the rate at which each worker completes the task (because we had not enough information), and then we would be incapable of completing the question.
14 dollars to 10 dollars, What's the percent of change?
the change is 28.57% decrease
Answer:
The answer is 28.57% decrease
Step-by-step explanation:
I got it right during math class
What is the slope of the line y=8?
Answer:
undefined or 0
Step-by-step explanation:
Answer:
The answer is 0 because undefined is straight up or vertical
Order of Operations With Integers. Please help me solve and how you got the answer!! help, please!!
Answer:
2
Step-by-step explanation:
[tex]\frac{(-2)(-3)(-4)}{-9 + (-3)}[/tex]
First, simplify the top and bottom separately:
[tex]\frac{-24}{-12}[/tex]
Then, just divide:
[tex]-24 / -12 = 2[/tex]
Question in picture!!:)
Find the product. Enter the product in simplest form. 8 x 1/3 =
8x1/3 is in the simplest form. 8x1/3=7 3/3x1/3=8 3/9. 8 3/9=8 1/3.
Simplest Form: 8 1/3
Triangle XYZ has vertices X(-1, -3), Y(0, 0), and Z(1, -3). Malik rotated the triangle 90° clockwise about the origin. What
is the correct set of image points for triangle X'Y'Z?
O X (3, -1), Y'(0, 0), Z (3, 1)
O X'(1, 3), Y'(0, 0), Z'(-1,3)
O X'(1, -3),Y (0, 0), Z'(-1, -3)
O X(-3, 1), Y'(0, 0), Z'(-3,-1)
Answer:
a
Step-by-step explanation:
Transformation involves changing the vertices of a shape
The correct set of image points for triangle X'Y'Z is X'(-3,1), Y'(0, 0), Z'(-3,-1)
The vertices of the triangle are given as:
X(-1, -3), Y(0, 0), and Z(1, -3)
The rule of rotation is given as: 90 degrees rotation about the origin.
This is represented as:
[tex](x,y) \to (y, -x)[/tex]
So, we have:
X'(-3,1), Y'(0, 0), and Z'(-3,-1)
Hence, the correct set of image points for triangle X'Y'Z is X'(-3,1), Y'(0, 0), Z'(-3,-1)
Read more about transformation at:
https://brainly.com/question/4289712
The length of a rectangle is shown below: On a coordinate grid from negative 6 to positive 6 on the x-axis and on the y-axis, two points A and B are shown. The point A is on ordered pair 1, 2, and the point B is on ordered pair negative 3, 2. A straight line joins the points A and B. If the area of the rectangle to be drawn is 12 square units, where should points C and D be located, if they lie vertically below the line that connects B and A, to make this rectangle? C(−3, −2), D(1, −2) C(−3, −1), D(1, −1) C(−3, −4), D(1, −4) C(−3, −5), D(1, −5)
Answer:
Would be the answer D(1, −4)
Step-by-step explanation:
Excuse me if i'm wrong, it seems like you have the same test or almost. And this was the answer on mine. I hope it works out for you!
Write the equation for a line that has a slope of 3 and a y-intercept of 4.
Answer:
y = 3x + 4
Step-by-step explanation:
Pls help me I have a hour to turn this in.
Answer:
i think its D not very sure but i think its D
The answers for fall math test 8th grade
Answer:
ok
Step-by-step explanation:
If f (x) = 4x-3, what is f (x)"?
Answer:
4x-3
Step-by-step explanation:
F(x) is a function group. In this scenario, f(x) = 4x-3 where x is equal to x.
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5
points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown
represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
O The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
Answer:
10 three point and 14 5 point
Step-by-step explanation:
Ive answered this same question a lot
help me with this for geometry please
Answer:
57 units
Step-by-step explanation:
So the step is we need to find out the scale factor
And the scale factor is 24/8 =3
So the parameter of ANG is
19×3
=57
A pitcher could hold 1/2 of a gallon of water. If Sam filled up 8 pitchers, how much water would he have?
Answer:
4 gallons
Step-by-step explanation:
just do 8 times 1/2 because 8 is the amount of pitchers filled but one pitcher is only half.
solve using substitution
x=10
6x-6y=18
y=?
y = 7
hope it's helpful ❤❤❤❤❤❤
THANK YOU.
Step-by-step explanation:
6x -6Y = 18
6 × 10 -6y = 18
60 -6y = 18
-6y = 18 -60
-6y = -42
y = -42/-6
y = 7
Christina used 1 5/8cups of shampoo to wash her hair 13 days. How many cups of shampoo did she use to wash her hair 1 day?
Answer:
0.125 cups
Step-by-step explanation:
Hi! When we have these types of questions we always think about how to solve them first. It cannot be subtraction or addition. It cannot be multiplication, so its division! Divide 1 5/8 into 13 and you get 0.125 cups.
Hope this helps!
What is (5,-4) rotated 180° clockwise?
821.8 divided by 4
pls help i have so many missing assignments
Answer:
205.45ㅤㅤㅤㅤㅤㅤㅤㅤ
Answer:205.45
Step-by-step explanation:
821.8 / 4 = 205.45
plssssssssssssss help this quiz is timed Tomaz realized that the tip of a second hand on a clock rotates about the center of the clock. He watched the second hand rotate around the center of the clock for 15 seconds. Which describes the rotation he observed?
270 degrees clockwise rotation
90 degrees clockwise rotation
180 degrees rotation
90 degrees counterclockwise rotation
Answer:
90 degrees
Step-by-step explanation:
90 degrees hhgffdfkgdf
Answer:
90 degrees clockwise rotation
Step-by-step explanation:
Because
261.24 = 15w - 23.75
rotate the triangle through 180 degrees about the origin?
Answer:
Step-by-step explanation:
A jacket costing £30 increased in price by 10% and then by a further
15%. How much did it cost after the increases?
question is link so do that.
Answer:
90
Step-by-step explanation:
180 divided by 2 is 90
2-√-9
a.) 2-3i
b.) 2-4=-1
c.) 2+3=5
d.) 2+3i
MATH HELP!! MARKING BRAILIEST! PLZZ
Answer:
(-1,1)
Step-by-step explanation:
the answer is where the two lines intersect.
Bookstore A sells a particular book for $15.25, but they have it on sale for 20% off. Bookstore B sells it for $12.45. How much more does it cost at Bookstore B?
Answer:
$0.25
Step-by-step explanation:
to find the amount bookstore A sales after the 20% discount, cross multiply x/15.25=20/100 and you get $3.05. 15.25-3.05 gives you $12.2. substract 12.2 from 12.45 and you get $0.25. book B costs $0.25 more than book A.
Help!!??
I'm tryna pass 8th grade ykyk
i hate math how about you
someone please help like i really need help
ima give brainiest
Answer:
C. 24
Step-by-step explanation:
Q is the centroid of the triangle. This means that the interior lines are medians, the special rule for medians when they intersect within a triangle is that each line is split into exactly 2/3s and 1/3. So the side of the median closer to the vertex will be exactly double the shorter side. Therefore, if AD is 36, find 2/3s of that to get AQ. An easy way to do this is to divide 36 by 3, which is 12, and then multiply that by 2, which gives you the final answer, 24.