Answer:
1. 0.25T
2. 0.25n
3. T - 0.25T
4. T - 0.25n
5. 0.75n × 0.5
Step-by-step explanation:
1. The dollar amount the club would have if they reached one-fourth of their goal.
Since the goal is to raise T dollars
One-fourth of T = ¼ × T = 0.25T
2. The dollar amount the club would have if every student at the school donated a quarter to the cause.
Let the number of students in the school be n
Since there are n students in the school, amount raised = ¼ × n = 0.25n
3. The dollar amount the club could donate to the cat shelter if they reached their goal and gave a quarter of the total donation to a dog shelter.
Since they reached their goal, the total amount they raised= T dollars
They gave a quarter of the total donation to a dog shelter = ¼T = 0.25T
Amount left to donate to the cat shelter = T - 0.25T
4. The dollar amount the club would still need to raise to reach its goal after every student at the school donated a quarter.
Amount donated if every student donated a quarter = ¼n = 0.25n
Amount still needed = T - 0.25n
5. The dollar amount the club would have if three-fourths of the students at the school each gave 50 cents
Three-fourths of the students = ¾n = 0.75n
50 cents = 0.5 dollars
Amount raised if three-fourths of the students gave 50 cents = 0.75n × 0.5
8.
Find the distance between points A and B, if Ais (-1,-2) and B is (8,10).
Answer:
15 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A(- 1, - 2) and (x₂, y₂ ) = B(8, 10)
d = [tex]\sqrt{(8+1)^2}+(10+2)^2[/tex]
= [tex]\sqrt{9^2+12^2}[/tex]
= [tex]\sqrt{81+144}[/tex]
= [tex]\sqrt{225}[/tex]
= 15
What is the measure of ZB?
20
25
O A. 60
B. 25°
O C. Cannot be determined
D. 75°
A. 60
Step-by-step explanation:
ZA + ZB + ZC = 180°
180° ÷ 3 = 60°
Help please ASAPP before 2:00
Answer
1 is 21 2 is 102 3 is 58 4 is 41 5 is 21 6 62
Step-by-step explanation:
pls mark brainliest
Answer:
7. 21
8. 102
9. 58
10. 41
11. 21
12. 62
Step-by-step explanation:
The formula for the volume of a rectangle prism is V=lwh. Anna wants to make a cardboard box with a length of 7 inches, a width of 5 inches, and a volume of 210 cubic inches. Which variable does Anna need to solve for in order to build her box?
[BRAINLIEST] To manufacture an automobile requires painting, drying, and polishing. Epsilon Motor Company produces three types of cars, the Delta, the Beta, and the Sigma. Each Delta requires hours for painting, hours for drying, and hours for polishing. A Beta requires hours for painting, hours for drying, and hours for polishing, and a Sigma requires hours for painting, for drying, and for polishing. If the company has hours for painting, hours for drying, and hours for polishing per month, how many of each type of car are produced?
Answer:
The company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.
Step-by-step explanation:
let in the motor company x number of delta cars, y number of beta cars and z number of sigma cars are manufactured.
from the condition given in the question we can write
9x + 13y + 9z = 257 ........ (1)
4x + 6y + 4z = 116 ........... (2) and
3x + 4y + z = 59 ......... (3)
From equation (2) we get
9x + 13.5y + 9z = 261 ....... (4) {Multiplying with both sides}
solving equations (1) and (4) we get
0.5y = 4
and ⇒ y = 8.
from equation (2) putting the value of y we get,
4x + 4z = 116 - 48 = 68
⇒x + z = 17 .....(5)
Now, from equation (3) putting y = 8 we get,
3x + z = 59 - 32 = 27 ....... (6)
hence, solving equations (5) and (6) we get, 17 - x = 27 - 3x
⇒ 2x = 10
⇒ x = 5
So, z = 17 - x = 12
therefore, the company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.
What would the sum of the interior angles of a 10 sided regular polygon shape be?
Select one:
O a. 360
O b. 1,004
O C. 1,800
O d. 1,440
what is the equation of the line in slope intercept form
Answer:
y=x+20
Step-by-step explanation:
I DONT UNDERSTAND PLZZZ HELP
Answer:
PLZ MARK BRAINLIEST THE ANSWER IS 9
Step-by-step explanation:
the MPH is 45 miles per hour, 45 divided by 60=0.75. 0.75x12=9
What does is equivalent to 3 5/6?
Answer:
equivalent fractions of 3/5 are 6/10, 9/15 and 12/20.
Step-by-step explanation:
hope this helped! have a good day<3
A scale John on the map shows that 1 inch represents 20 miles If 2 cities are 2.5" apart On the map what is the distance between them and real life
Answer:
50 miles
Step-by-step explanation:
If one inch is 20 miles do 2 times 20 you get 40. it’s .5 so half and half of 20 is ten, add it up and you get 50.
Answer:
50 miles
Step-by-step explanation:
Joan has started a physical fitness program. One of her goals is to be able to run at least 5
miles without stopping. She can now run 3.5 miles without stopping. How many more
miles must she run non-stop to achieve her goal?
Answer:
1.5 miles
Step-by-step explanation:
Since Joan need to run 5 miles without stopping and already runs 3.5 miles without stopping, the number of miles more she must run non-stop to achieve her goal of 5 miles without stopping is the difference between her 5 mile goal and her current run of 3.5 miles.
So, number of miles she must run = 5 miles - 3.5 miles = 1.5 miles.
So, Joan must run 1.5 miles more non-stop to achieve her goal.
given:a || b m<2=3x+20 m<7=2x-10 find:m<3, m<6
Answer:
3(34) + 20 -> Angle 6 = 122
2(34) - 10 -> Angle 3 = 58
Step-by-step explanation:
Since measure of angle 2 is equal to measure of angle 6, and measure of angle 7 is equal to measure of angle 3, we can determine the angle measures for angle 3 and angle 6.
First, we solve for x by adding together the two equations and setting it equal to 180 because of the supplementary angles theorem.
3x + 20 + 2x - 10 = 180
Combine like terms.
5x + 10 = 180
Subtract 10, then divide by 5 on both sides.
5x = 170
x = 34
Now we can plug the x value into the equations.
3(34) + 20 -> Angle 6 = 122
2(34) - 10 -> Angle 3 = 58
#teamtrees #WAP (Water And Plant)
Answer: 48=19 X 2
Step-by-step explanation:
its allin the math
Solve y - 4 = 3x + 5y for y
Answer:
y=3x+8
Step-by-step explanation:
y-4=3x+5y
+4 +4
y=3x+5y+4
-5y -5y
-4y=3x+4
+4 +4
y=3x+8
John is cutting a 10-foot long piece of pipe into lengths of 2/3 foot. How many pieces of pipe with this length can he cut? * Will give brainliest
Answer:
2.5
Step-by-step explanation:
you do 10 divided by 2/3
Which equation can you use to solve the following problem?
A group of 168 students is on a field trip. They are doing a ropes course at a local camp.
If 8 students can start the ropes course together at one time, how many groups will the students form to go through the course?
Answer:
21
Step-by-step explanation:
168 divided by 8
Given the function defined in the table below, find the average rate of change, in simplest form, or the function over the interval 20
Answer:
Average rate of change = 0.4
Step-by-step explanation:
Average rate of change of a function in the interval [a, b] is defined by the formula,
Rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
From the table attached,
Rate of change of the function in the interval 20 ≤ x ≤ 40 will be
= [tex]\frac{f(40)-f(20)}{40-20}[/tex]
= [tex]\frac{24-16}{40-20}[/tex]
= [tex]\frac{8}{20}[/tex]
= [tex]\frac{2}{5}[/tex]
= 0.4
Therefore, average rate change of the function in the given interval 20 ≤ x ≤ 40 is = 0.4
Two sides of a rectangle differ by 3.5cm.Find the dimensions of the rectangle if its perimeter is 67cm.
the answer should contain step by step and understandable explanation.
Answer:
Sides are x and x + 3.5 cm
Perimeter = 2(x + (x + 3.5))cm
4x +7 = 67
x = 15cm Answer
Step-by-step explanation:
HOPE THIS HELPED!
A cubical wooden block of length 12 cm is cut into 8 equal cubical pieces. Find the length of edge of each piece.
Answer:
6cm
Step-by-step explanation:
volume of a cubical wooden block
= 12×12×12
= 1728
volume of cubical pieces
= 1728÷8
= 216
length of edge of piece
= square root of 216
= 6cm
Given the following set of data, what is the variance? [2 6 8 3 7 9 1 4]
A. 40
B. 5
C. 2.74
D. 7.5
The variance of the set { 2 , 6 , 8 , 3 , 7 , 9 , 1 , 4 } is 7.5
What is Variance?
Variance is the expectation of the squared deviation of a random variable from its population mean or sample mean. Variance is a measure of dispersion, meaning it is a measure of how far a set of numbers is spread out from their average value
Given data ,
The set S = { 2 , 6 , 8 , 3 , 7 , 9 , 1 , 4 }
Step 1 :
To calculate the mean ,
Mean = Sum of Observations / Number of Observations
= ( 2 + 6 + 8 + 3 + 7 + 9 + 1 + 4 ) / 8
= 40 / 8
= 5
Step 2 :
Take each difference from mean and square it
( 2 - 5 )² = 9
( 6 - 5 )² = 1
( 8 - 5 )² = 9
( 3 - 5 )² = 4
( 7 - 5)² = 4
( 9 - 5 )² = 16
( 1 - 5 )² = 16
( 4 - 5 )² = 1
And Sum of 9 + 1 + 9 + 4 + 4 + 16 + 16 + 1 = 60
Step 3 :
Variance = The mean of squared difference
= 60 / 8
= 7.5
Hence , the variance is 7.5
To learn more about variance click :
https://brainly.com/question/13041243
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solve for p2. p1v1 = p2v2
Answer:
P₂ = [tex]\frac{P_{1} V_{1} }{V_{2} }[/tex]
Step-by-step explanation:
Given expression:
Boyle's law:
P₁ V₁ = P₂ V₂
Problem is to find P₂;
Solution:
P₁ V₁ = P₂ V₂
To solve this problem, multiply both sides by [tex]\frac{1}{V_{2} }[/tex];
P₁ V₁ x [tex]\frac{1}{V_{2} }[/tex]; = P₂ V₂ x [tex]\frac{1}{V_{2} }[/tex];
[tex]\frac{1}{V_{2} }[/tex] cancels out V₂ on the right hand side;
P₂ = [tex]\frac{P_{1} V_{1} }{V_{2} }[/tex]
Please be quick need it now
Answer:
b(8b+7)
trust meeeeeee
The triangle and the rectangle have the same area
Answer:
w =2.5
Step-by-step explanation:
the area of the triangle is 6*5 divided by half which is 15. this means that the area of the rectangle is also 15. so to find the value of the width we have to divide the area by the known value to get our answer. 15/6 is equal to 2.5 so that's what the value of w is.
If you bought a stock last year for a price of $147, and it has risen 17.9% since then, how much is the stock worth now, to the nearest cent
Answer:
This is an percentage question, meaning you have to calculate the percentage rise.
1) Do 147 * 17.9% (Which equals to 26.3 [1.d.p.])
2) 26.3 is the answer
Hope it helps! :D
evaluate f (x) = -4x + 7 when x = 2 and x = -2
Answer:
- 1 and 15
Step-by-step explanation:
Substitute x = 2 and x = - 2 into f(x)
f(2) = - 4(2) + 7 = - 8 + 7 = - 1
f(- 2) = - 4(- 2) + 7 = 8 + 7 = 15
PLEASE HELP! I SEARCH UP THE ANSWER ON BRAINLY BUT EVERYONE IS SAYING ITS SOMETHING ELSE. 1 PERSON SAID D ONE SAID A ONE SAID C. SO I DONT KNOW WHICH ONE IS THE ACTUAL ONE! SO PLZ ANSWER WITH THE RIGHT ANSWER! :)
The value of a rare painting has increased each year since it was found at a garage sale. The value of the painting is modeled by the function f(x) = 799(1.03)x. What does the 799 represent? What will the painting be worth after five years? Round your answer to the nearest dollar.
799 represents the value of the painting when it was found; the painting will be worth $926 after five years.
799 represents the increase in the value of the painting; the painting will be worth $103 after five years.
799 represents the value of the painting when it was found; the painting will be worth $804 after five years.
799 represents the total value of the painting; the painting will be worth $926 after five years.
Answer:
its A.!!!!
Step-by-step explanation:
please help. i would rly appreciate it. :/
plz answer its due today!!
Answer:
-5/8
Step-by-step explanation:
what did you get for Black Friday
Answer:
Nothing :(
Step-by-step explanation:
No money :(
Answer:
HOPE IT MAY HELP YOUStep-by-step explanation:
Black Friday is an informal name for the Friday following Thanksgiving Day in the United States, which is celebrated on the fourth Thursday of November. ... Many stores offer highly promoted sales on Black Friday and open very early, such as at midnight, or may even start their sales at some time on Thanksgiving.
solve for x pls help
Answer:
23
Step-by-step explanation:
51+(2x+3)=100
54+2x=100
-54 -54
2x=46
x=23
There are four defenders on a soccer team, if this represents 20 percent of the players on the team, which equation
can be used to find the total number of players on the team?
0.1
4x20 RO
100x 20" 200
20x25 500
20-5
4
Answer:
20% = 4 people
100% = 20 people
Step-by-step explanation:
There are a total of 20 players on the soccer team.