70 POINTS PLEASE HELP! A dump truck pours sand into a container in the shape of a rectangular prism with a square base of length 2 feet. SEE PICTURE FOR REST
Answers
Answer:
A
Step-by-step explanation:
The volume of a rectangular prism is:
[tex]V=\ell wh[/tex]
Since the prism has a square base, each side length being 2, this means that both the length and width of our prism is 2. Therefore:
[tex]V=(2)(2)h=4h[/tex]
So, we can write:
[tex]V=4h[/tex]
The height h increases at a rate of about 8 inches or 8/12 = 2/3 feet per minute.
So, after t minutes, the height will be 2/3(t) feet. Thus, we can substitute:
[tex]\displaystyle V=4\Big(\frac{2}{3}\Big)t=\frac{8}{3}t[/tex]
We want to find after how long it will be until the volume is 64 cubic feet. So, V = 64:
[tex]\displaystyle 64 = \frac{8}{3} t[/tex]
Solve for t:
[tex]\displaystyle t=\frac{3}{8}(64)=3(8)=24\text{ minutes}[/tex]
The correct answer is A.
Related Questions
If y varies directly as x, and y = 7 when x = 3, find y when x = 7
Answers
Answer:
AStep-by-step explanation:Direct variation, by definition, has the form shown below:
y=kx
Where k is the constant of proportionality.
Given the information in the problem, you can find k:
7=3k
k=7/3
Now you can find y when x=7 as following:
y=(7/3)x
Substitute values.
y=(7*7)/3
y=49/3
How many triangles can be constructed with sides measuring 15 cm, 7 cm, and 5 cm?
more than one
none
one
Answers
Answer:
More than one
Step-by-step explanation:
Trust me, I know.
Answer:
none
Step-by-step explanation:
i have proof i just took the test
Sophia uses 3 3/4 cups of flour for each cake she makes. She has a 10-pound bag of flour that costs $8.79 and contains 152 quarter-cup servings.
Question 1
Part A
How many cakes can Sophia make with this flour?
Answers
The number of cakes Sophia can make is 10.
The bag of flour contains 152 quarter-cup servings. So, the quantity in t he bag has to be divided by four.
Number of cups = 152 / 4 = 38 cups
In order to determine the number of cakes she can make, divide the number of cups in the bag by the cups needed to make one cake.
38 ÷ 3 3/4
38 ÷ 15/4
38 × 4/15 = 10.1 cakes
To learn more about division, please check: https://brainly.com/question/808272
Sophia will be able to make 10 cakes with this amount of flour.
Since Sophia uses 3 3/4 cups of flour for each cake she makes, and she has a 10-pound bag of flour that costs $ 8.79 and contains 152 quarter-cup servings, to determine how many cakes can Sophia make with this flour you must perform the following calculation:
3/4 = 0.75 (152/4) / 3.75 = X 38 / 3.75 = X 10.13 = X
Therefore, Sophia will be able to make 10 cakes with this amount of flour.
Learn more about maths in https://brainly.com/question/25815188
What is 4^0 in exponential form?
Answers
12.(06.02 LC)
Audrey is trying to find the equation of a line parallel to y -
x -5 in slope-intercept form that passes through the point (-6, -1). Which of the following equations will she use? (6 points)
3
Oy-(-) = (x - (-
6)
Oy-(-6) = } (x-(-1))
Oy -(-6) = (x-(-1)
Oy-(-1) = (x - (-6))
Answers
Answer:its c i took the test
Step-by-step explanation:
im right
7 miles
Which rate can you set Thour equal to in order to find the distance traveled in 49 hours at 7 miles per hour?
7 hours
O ? miles
49 hours
o ? miles
? miles
7 hours
2 miles
49 hours
Answers
Answer:
49×7=x
x=343 miles
Step-by-step explanation:
49hours×7mph=343miles
Can you guys help me on the question 4?! :)
Answers
Answer:
Volcanic gray
Step-by-step explanation:
I think because Volcanic Gray and Gray Fox look pretty close to the same color. Sorry if it is wrong.
What is the face value of 2 in the number 286?
Answers
Answer:
face value = 2
Step-by-step explanation:
Face value = 2
Place value = 200
I hope im right!!
In this figure, sin(a) = 2/3
What is the value of cos(b) ?
Answers
9514 1404 393
Answer:
C) 2/3
Step-by-step explanation:
In order to answer the question, we must make an assumption about the given figure. We must assume it is a rectangle, so the left side and right side of the figure are the same length.
The ratio of the right side of the figure to the diagonal is sin(a). The ratio of the left side of the figure to the diagonal is cos(b). If we assume that the left and right sides are the same length, then ...
sin(a) = 2/3 = side/diagonal = cos(b) = 2/3
_____
Additional comments
The figure does not have enough information to support our assumption. Of the answer choices, only (A) is a reasonable alternative. (The value of the cosine must be at most 1.)
The first attachment shows the figure with sin(a) = cos(b) = 2/3. The second attachment shows the figure with cos(b) = 1/3. There is nothing in the given drawing to say this is an incorrect interpretation. (Drawings cannot be assumed to be to scale.)
Graph the following inequality?
Answers
Answer: that pic is the answer
Step-by-step explanation: the pic is the answer
Taylor can solve riddles very quickly. She solved 11 riddles in 4 minutes. How many did she solve each minute?
Answers
Answer:
2 riddles every minute!
Step-by-step explanation:
what is the area of a circular swimming pool with the radius of 3 feet
Answers
Answer:
9[tex]\pi[/tex]
Step-by-step explanation:
r=3
Area of circle: [tex]\pi[/tex][tex]r^{2}[/tex]
Write an equation of the line that passes through the points (−6,20) and (0, 8).
Answers
Answer:
y = -2x + 8
Step-by-step explanation:
(−6, 20) and (0, 8)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(8 - 20) / (0 - (-6))
Simplify the parentheses.
= (-12) / (6)
Simplify the fraction.
-12/6
= -2
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = -2x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (0, 8). Plug in the x and y values into the x and y of the standard equation.
8 = -2(0) + b
To find b, multiply the slope and the input of x(0)
8 = 0 + b
b = 8
Plug this into your standard equation.
y = -2x + 8
This is your equation.
Check this by plugging in the other point you have not checked yet (-6, 20).
y = -2x + 8
20 = -2(-6) + 8
20 = 12 + 8
20 = 20
Your equation is correct.
Hope this helps!
What is the difference of
7
8
−
1
3
?
A.
7
+
1
8
+
3
=
8
11
B.
7
−
1
8
−
3
=
6
5
C.
7
×
1
8
×
3
=
7
24
D.
(
7
8
×
3
3
)
−
(
1
3
×
8
8
)
=
21
24
−
8
24
=
13
24
Answers
Answer:
I think it is a
Step-by-step explanation:
so sorry if it wrong i tried my best
Answer:
Well the answer is 0.54166666666
Step-by-step explanation:
7/8- 1/3= 0.54166666666
the worst carrier of contamination of food service is
Answers
Answer:
Dirty unwashed hands
Step-by-step explanation:
Answer:
Clean hands and clean food
Step-by-step explanation:
jk
A student tries to solve the equation 2(x-7)=x-9. the student's work is shown to the right.
Describe any errors. Then solve the equation correctly
Answers
Answer:
I can't see what the student did to solve the equation so I'll just solve the equation step by step here.
Step-by-step explanation:
2(x-7)=x-9
2x-14=x-9 Use distributive property to solve the parenthesis
x-14=-9 Subtract the x on both sides
x=5
Answer:
See step by step
Step-by-step explanation:
He didnt use the distributive property.
How to solve it is
[tex]2(x - 7) = x - 9[/tex]
[tex]2x - 14 = x - 9[/tex]
[tex]x - 14 = - 9[/tex]
[tex]x = 5[/tex]
HELP ME!!!! PLZ!!!!
The determinants of the minors of the first-row entries are _____ .
11, -20, 23
11, -16, 26
13, -20, 23
13, -16, 26
The determinants of the minors of the second-row entries are______ .
-21, 5, -24
-21, 7, -28
-18, 7, -28
-18, 5, -24
The determinants of the minors of the third-row entries are_______ .
4, 9, -14
4, 8, -12
6, 8, -12
6, 9, -14
Answers
Answer:
The picture below. (11, -20, 23) , (-21, 5, -24), (6,9,-14)
why every comment but don't
Answers
Answer:
thanks
Step-by-step explanation:
A container in the shape of a pyramid has a rectangular base with dimensions of 5 inches by 15 inches. The height of the rectangular pyramid is 12 inches. Marbles fill half the volume of the container.
How many more cubic inches of marbles are needed to finish filling the container?
Enter your answer in the box.
in3
Answers
Answer:
150
Step-by-step explanation:
1) the full volume of the given pyramide may be calculated according to the formula:
V=1/3 *Area_of_base*height;
V=1/3 *(5*15)*12=300 (in³).
2) the half of the calculated volume is:
300/2=150 (in³)
Answer:
150
Step-by-step explanation:
Determine whether the relationship being represented is linear, exponential or neither
f(x) = 1/4 (x + 3) +2
Answers
Answer:
linear
Step-by-step explanation:
if you graph it you can swe that it is linear
Can anyone help complete this table?
Answers
Chloe needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3.5 hours and charged her $197 for parts. The total was $389.50. What was the cost of labor, per hour?
This is due today pls help now
Answers
Answer: the answer is 55
The cost to rent a car is $25 plus an additional $0.15 for each mile the car is driven. How many miles was a car driven if
it had a bill of $71.80?
479
312
O
454
645
Answers
How do you convert 4/20 into a decimal
Answers
Answer:
Inieterlov
Step-by-step explanation:
Si un electrón no consume, ni libera energía el átomo se encuentra enSi un electrón no consume, ni libera energía el átomo se encuentra en
Answer:
0.2
Step-by-step explanation:
Divide the numerator by the denominator
eal llatie
12k – hạ; use h = 2, and k = 3
Simplify this
expression as
much as
possible.
Answers
Answer:
32
Step-by-step explanation:
Okay so first, the problem gives you the numbers to plug into the variables. So you see h=2 will be 2^2, because you plug it in. Now let me show you how I got the answer the Montana Way (Okay I know that sounds toooo cheesy)
12(3) - (2)^2
36 - 4
32
please help me!! thank you!!
Answers
Answer:
(x, y) --> (2/3x, 2/3y)
Step-by-step explanation:
The scatter plot shows the relationship between elevation and temperature on a certain mountain peak in North America. Which statements are correct?
A. The data shows one potential outlier
B. The data shows a linear association
C. The data shows a clustering pattern
D. The data shows a negative association
E. As elevation increases, temperature decreases
Answers
The scatter plot shows the data having a clustering pattern, and as elevation increases, temperature decreases.
What is a scatter plot ?"Scatter plots are the graphs that present the relationship between two variables in a data-set. It represents data points on a two-dimensional plane or on a Cartesian system. The independent variable or attribute is plotted on the X-axis, while the dependent variable is plotted on the Y-axis. These plots are often called scatter graphs or scatter diagrams."
"A scatter plot is also called a scatter chart, scattergram, or scatter plot, XY graph. The scatter diagram graphs numerical data pairs, with one variable on each axis, show their relationship"
Since, the graph is a scatter plot so the data shows a clustering pattern.
and from the plot we can conclude that as elevation increases, temperature decreases.
Hence, C, E are the correct option.
To know more about scatter plot here
https://brainly.com/question/13984412
#SPJ2
Answer:
B, D, E
Step-by-step explanation:
The data shows a linear association.,The data shows a negative association., As elevation increases, temperature decreases. Additionally : The data does not show a potential outlier., The data does not show a clustering pattern.
Does this expression represent the sum 13.76 + 2.8?
15.84
Answers
Answer: false
Step-by-step explanation:
false
Answer:
False
Step-by-step explanation:
Numbers dont add up
A juice company currently sells juice in gallon-size containers but wants to diversify to provide quart-size containers. If the company produces the number of gallons of juice every quarter given in the table, how many quarts will be produced in the first quarter?
The company will produce quarts of juice in first quarter.
Answers
Answer:
Depends on how many gallojs but 4 quarts per gallon
Step-by-step explanation:
Answer:
it is 24
Step-by-step explanation:
I just know it cuz I did it. hope it helps u :)
what is the equal expresson to (4x+12)+8x
Answers
12x + 12
Step-by-step explanation:
(4x + 12) + 8x
remove brackets.
➡️ 4x + 12 + 8x
4x + 8x(4 + 8)x 12x➡️ 12x + 12