A water tank in the shape of a pyramid has a rectangular base with dimensions of 10 feet by 15 feet. The height of the rectangular pyramid is 12 feet. Water fills half the volume of the water tank. How many more cubic feet of water is needed to finish filling the water tank?
(Explanations are appreciated along with your answer.)
600ft³ will be the required volume
Volume of pyramidThe formula for calculating the volume of the rectangular prism is expressed as:
V = 1/3lwhGiven the following information
l = 10 feet
w = 15feet
h = 12 feet
Get the volume
V = 1/3(10 * 15 *12)
V = 1/3(1800ft³)
V = 600ft³
Hence 600ft³ will be the required volume
Learn more on volume of prism here: https://brainly.com/question/23963432
Writh an equation of a line in slope-intercept form for the given conditions.
slope =2 and passes through (-5,2)
y=
Answer:
y=2x+12
Step-by-step explanation:
y-2=2(x-(-5))
y-2=2(x+5)
y-2=2x+10
y=2x+12
A newspaper article reports the results of an election between two candidates. The article says that Smith received 60% of the votes and that Murphy received 15 of the votes. A reader writes in to complain that the article cannot be accurate. What reason might the reader have to say this?
Step-by-step explanation:
Since, smith receives 60% of the vote this means murphy must receive 40% of the vote. Therefore 15 = 40% of the total vote.
Thus total vote = 37.5, which is kind of absurd. As total vote count must be an integer. Moreover, the report must be consistent with the result, which does not seem in this case.
Solve the system by graphing.
y=x+1
y=4x+7
The solution is ( , )
Answer:
(-2,-1)
Step-by-step explanation:
x+1=4x+7
3x=-6
x=-2.
y=-2+1
y=-1.
7.6 cm
Diagram NOT
accurately drawn
A circle has a radius of 7.6 cm.
Work out the area of the circle.
Give your answer correct to 3 significant figures.
Answer:
181cm²
Step-by-step explanation:
Given
Radius of a circle = 7.6cm
Area of the circle = \pi r²
Substitute
Area of the circle = 3.14(7.6)²
Area of the circle = 3.14(57.76)
Area of the circle = 181.3664cm²
Area of the circle to 3sf is 181cm²
Adam has 3 coins in his pocket and they are all different from each other. Ben has 3 coins in his pocket and they are all the same as each other. Adam has half as much money as Ben.
What are the coins they each have?
Answer:
The possible coins are:
P = penny = $0.01
N = nickel = $0.05
D = dime = $0.10
Q = quarter = $0.25
H = half dollar = $0.50
We know that Adam has 3 coins in his pocket, and all of them are different, then the money that Adam has can be represented with (A + B + C)
Behn has 3 coins, and all of them are the same, then if his coin has a value X, he has a total of 3*X
We know that Adam has half as much money as Ben, this can be written as:
(A + B + C) = 3*X/2
The easier way to solve this, is to play with different values of X, and see if we can find the values of A, B and C.
For example, if X = $0.10
then:
(A + B + C) = $0.10*(3/2) = $0.15
We can find 3 different value of coins for this equation? No, we cant, so X = $0.10 is also discarded.
if x = $0.50 then:
(A + B + C) = (3/2)*$0.50 = $0.75
Here we could have:
A = $0.50
B = $0.25
then: A + B = $0.75
But we still have the coin C.
If we take X = $0.25 then:
(A + B + C) = (3/2)*$0.25 = $0.375
We could round the right part to $0.40
then the coins in the left part would be:
A = $0.25
B = $0.10
C = $0.05
A + B + C = $0.25 + $0.10 + $0.05 = $0.40
This is a strech, but is the only thing we can make with the given problem.
Solve using the substitution method. 3x +2y= 19 xy= 15
Answer:
when x = 3 1/3, y = 4.5
or
when x =3 , y = 5
Step-by-step explanation:
Here, we want to solve using substitution
xy = 15
let x = 15/y
Put this into the first equation;
3(15/y) + 2y = 19
45/y + 2y = 19
Multiply through by y
45 + 2y^2 = 19y
2y^2 -19y + 45 = 0
2y^2 - 10y - 9y + 45 = 0
2y(y-5) -9(y-5) = 0
(2y-9)(y-5) = 0
2y-9 = 0
or y-5 = 0
2y = 9 or y = 5
y = 9/2 or y = 5
y = 4.5 or y = 5
Recall;
x = 15/y
x = 15/4.5 or x = 15/5
x = 3 1/3 or x = 3
is the relation a function?
Teresa has made 124 bags of treats. Each person was able to take 2 bags home. If there were 40 people, how many extra bags were left?
Answer:
31
Step-by-step explanation:
Answer:
the answer to your question would be 44
Find the area of the trapezoid
mrs. rodrigues wants to compare the spread of the test scores of her two biology classes. which statistic should she use? (multiple choice)
a.) mean
b.) standard deviation
c.) median
d.) mode
if anybody can help me with this, thank you so much! i'm trying to pass a pre-test on e.d.g.e.n.u.i.t.y :( if you know the answer, please explain instead of just giving me the answer alone. thank you! <3
Mrs. Rodrigues should use Standard deviation.
The correct option is b.
What is a standard deviation?The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.
Given:
Mrs. Rodrigues wants to compare the spread of the test scores of her two biology classes.
From the given choices:
The measures of spread include:
Range, quartiles, interquartile range, variance and standard deviation.
Standard deviation is the appropriate choice.
Therefore, standard deviation is the correct phrase.
To learn more about the standard deviation;
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#SPJ6
Plz help me :(:(:(:(:(:(:(:(::(((::(:(:(.(.(
Answer:
Look below!
Step-by-step explanation:
Angle A = 180-47 = 133
Angle B = 180-32-Angle A = 180-32-47 = 101
Angle D = 90-32 = 58
Angle C = 180-47-58 = 75
Hope I helped!
Answer:
A=133 ,B=15, C=75 D= 58
Step-by-step explanation:
Angle 32, d, and right angle add up to 180. So 180=32+90+x. Then x = 58 (D). The all 3 angles in the triangle add up too 180 so 180=47+58+x. x=75 (C). The 47 and a equal to 180 degrees. 180-47=133. The 133+32+x=180. x=15 (B).
William’s team won 16 games and lost 4 games. Tracey’s team won 15 games and lost 5 games. Whose team had the greater ratio of wins/losses?
Answer: William's is 16:4 and Tracey's are 15:5
Step-by-step explanation:
f(x) = -x² + x + 14
Find f (2)
Answer:
Step-by-step explanation:
f(2) = -2^2 + 2 + 14 = -4 + 2 + 14 = 12
Answer:
f(2) = 20
Step-by-step explanation:
f(x) = -x^2 + x + 14
f(2) = (2)^2 + (2) + 14
f(2) = 4 + 2 + 14
f(2) = 20
Which one represents the equivalent of the following expressions combined -2x² + 7x - 6 and 3x² - 8x – 1 ?
a. X²+X-7
b. X²+X-5
c. X²-X-7
d. X²-X-5
Answer:
C
Step-by-step explanation:
Adding we get:
-2x^2+3x^2 + 7x - 8x - 6 -1 = X^2 -x-7
Find the value of x. Then classify the triangle by its angles.
Help plz i'll mark brainliest
Answer:
C
Step-by-step explanation:
Find the scale factor
A. 3.5
B. 3/5
C. 35
Answer:
3.5
Step-by-step explanation:
35/10 = 3.5
Find the recursive definition for this sequence
2,6,18,54,162
look at the graph of a line and write its equation
Find the value x
please help
Answer:
Step-by-step explanation:
what is the solution of the equation y=7x-2
Answer:
1/7y and 2/7
Step-by-step explanation:
T= 3x + 4y
Toe ons
(a) Work out the value of I when x = 5 and y=-7
Note: Consider the dependent variable is T instead of I, and we need to find the value of T when x=5 and y=-7.
Given:
[tex]T=3x+4y[/tex]
To find:
The value of T when x=5 and y=-7.
Solution:
We have,
[tex]T=3x+4y[/tex]
Putting x=5 and y=-7, we get
[tex]T=3(5)+4(-7)[/tex]
[tex]T=15-28[/tex]
[tex]T=-13[/tex]
Therefore, the value of T is -13 when x=5 and y=-7.
Two groups of hikers leave the same camp heading in opposite directions. The first group travels 4 miles north and 3 miles east. The second group travels 2 miles south and 5 miles west.
a. Draw the situation in the coordinate plane using a right triangle. Use the origin as the camp location, and let each unit represent 1 mile. For example, the point (2, 1) would represent 2 miles east and 1 mile north of the camp.
b. Determine the distance between the two groups after the hikes.
Question 2
The distance between the two groups is __ miles.
Answer:
can you answer my qeustion the first one please
please help, I need this answer today (2/10/2021)
w=yh−5t, for y
Answer:
y = w /h + 5 t/ h
i believe
Step-by-step explanation:
Answer:
Y= w/h + 5t/ h
Step-by-step explanation:
There's really not much to go off of here. So I just simply Isolated the variable. I hope this is what you were looking for.
Julio gets paid $10.00 an hour to babysit his cousins 4 hours a week. He allows himself to spend $7.00 a week and he saves the rest. How much will he have saved in 5 weeks?
Answer:
$165.00
Step-by-step explanation:
Kayla has a weekly budget of $640. She works at a clothing store and makes $220 per week, plus 20% commission on the merchandise she sells to her customers.
Which of the following is the correct interpretation of the solution?
A. Kayla can sell $2,100 or less to reach her weekly budget
B. Kayla needs to sell $2,100 or more to reach her weekly budget
C. Kayla needs to sell more than $2,100 to reach her weekly budget
D. Kayla can sell less than $2,100 to reach her weekly budget
Answer:
i think it would be C, im not sure though
Step-by-step explanation:
This is anyone who wants easy points. What comes after B in the alphabet. Just tryna help someone
Answer:
C
Step-by-step explanation:
A 10-meter ladder leans against the wall, it is 5 meters from the base of the wall. How high, h, does the ladder reach to the nearest tenth of a meter?
Answer:
did you figure out the answer because I need it please
3(x + 1) + 5(2x –5)–2(x –2)= 4
solve
Answer:
x=2
Step-by-step explanation:
3x+3+10x-25-2x+4=4
11x-18=4
11x=4+18
11x=22
x=22/11
x=2
Answer:
x = 2
Step-by-step explanation:
3(x + 1) + 5(2x –5)–2(x –2)= 4
First, let's distribute the numbers across the parentheses through multiplication.
3x + 3 + 10x - 25 - 2x + 4 = 4
Combine like terms.
11x - 18 = 4
Add 18 to both sides to isolate x.
11x = 22
Divide both sides by 11 to isolate x further.
x = 2
Check by plugging 2 back into the equation.
3(2 + 1) + 5(2(2) - 5) - 2(2 - 2) = 4
3(3) + 5(4 - 5) - 2(0) = 4
9 + 5(-1) - 0 = 4
9 - 5 = 4
4 = 4
Your answer is correct.
Hope this helps!