Answer:
Height of the cereal box = 18 in.
Step-by-step explanation:
A cereal box is in the shape of a cuboid.
And volume of a cuboid is represented by the expression,
Volume = Length × Width × Height
It's given that volume of the box = 432 in³
Length of the base = 2 in.
Width of the base = 12 in
By substituting these values in the expression,
432 = 2 × 12 × h
h = [tex]\frac{432}{24}[/tex]
h = 18 in.
Therefore, height of the cereal box is 18 in.
A certain factory produces and sells C computers per month. It costs x dollars to produce a single computer, and the factory sells each computer for y dollars. Their monthly net profit is 10,000 dollars.
Write an equation that relates C, x, and y.
Answer:Cy-Cx=10,000
Step-by-step explanation:
Answer:
Cy-Cx=10000
Step-by-step explanation:
Which number is equivalent to 4.7
Amir bought 3 2/3 pounds of rice.Owen bought 1 1/2 times as much as Amir.How many pounds of rice did Owen buy?
Answer:
5.49 pounds
Step-by-step explanation:
Given data
Amir bought 3 2/3 pounds of rice= 11/3 pounds= 3.66 pounds
Owen bought 1 1/2 times or 1.5 times as much as Amir bought
Hence 1.5 time of 3.66
=1.5*3.66
=5.49 pounds in decimal
Grant is making hot dogs for a picnic. Hot dogs come in packages of 8. Hot dog buns come in packages of 12. What is the least number of packages of hot dogs and packages of hot dog buns, can Grant buy so that he has the same number of servings of each?
Answer:
6 hot dog packages and 4 hot dog buns packages.
Step-by-step explanation:
12 x 4 = 48
8 x 6 = 48
Answer:
3 hot dogs and 2 buns
Step-by-step explanation:
Multiply hot dogs until you get a multiple of 12 for this the lowest common multiple is 24
Which could describe the three angles of a triangle?
Two acute angles and one right angle
One acute angle and two right angles
One acute angles and two obtuse angles
One acute angle, one obtuse angle, and one right angle ??
Answer:
I would think it would be Two acute angles and one right angle.
Step-by-step explanation:
How I would describe the three angles of a triangle is two acute angles and one right angle.
What is a triangle?
A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees.
A right triangle is made up of a right angle and two acute angles. A right angle has a value of 90 degrees and an acute angle has a value that is less than 90 degrees.
To learn more about a triangle, please check: https://brainly.com/question/9329354
how do you solve this help
Answer:
arc PST = 254°
Step-by-step explanation:
arc QPT = 180° because it is a diameter
arc PQ = 74°
arc PT = 180° - 74° = 106°
arc PST = 360° - 106° = 254°
PLZ HELP ME
find measure of arc STU
39
219
135
141
Answer:
Step-by-step explanation:
141
The volume of the figure
Answer:
beeep
Step-by-step explanation:
hoonk
buuurp buuuurp
A- 57 7/9 ft. 3
B- 11 2/3 ft 3
48 2/9 ft 3
28 2/3 ft 3
Answer:
A. 57 7/9
Step-by-step explanation:
First you multiply 13/3 (the length) by 10/3 (the width). You get 130/9. You then multiply 130/9 (the base) by 12/3 which equals 1560/27.
1560/27 can be simplified to 57.7777778, which in turn converts to 57 7/9.
57 7/9 is the final answer.
A bag contains 8 red M&Ms, 13 blue M&Ms, 4 brown M&Ms, and 8 green M&Ms. An M&M is picked at random from the bag. What is the probability of picking: A Red M&M:
Given:
Number of red M&Ms = 8
Number of blue M&Ms = 13
Number of brown M&Ms = 4
Number of green M&Ms = 8
An M&M is picked at random from the bag.
To find:
The probability of picking a red M&M.
Solution:
We have,
Number of red M&Ms = 8
Total number of M&Ms [tex]= 8+13+4+8[/tex]
[tex]=33[/tex]
So, probability of picking a red M&M is:
[tex]\text{Probability}=\dfrac{\text{Number of red M&Ms}}{\text{Total number of M&Ms}}[/tex]
[tex]\text{Probability}=\dfrac{8}{33}[/tex]
Therefore, the probability of picking a red M&M is [tex]\dfrac{8}{33}[/tex].
The graph below shows the amount of money Johnny saved for 12 months. Which amount is closest to Johnny's rate of saving over those 12 months?
A. $14.00 per month
B. $13.75 per month
C. $15.00 per month
D. $7.14
The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
Johnny's rate of saving over the 12 months is $14 per month.
Option A is the correct answer.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
From the graph, we have the following coordinates.
= (5, 70)
This means after 5 months $70 is saved.
= (10, 140)
This means after 10 months $140 is saved.
Johnny's rate of savings.
= Change in the savings amount/change in the months
= (140 - 70) / (10 - 5)
= 70/5
= $14
Thus,
Johnny's rate of saving over the 12 months is $14 per month.
Option A is the correct answer.
Learn more about coordinates here:
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what do you do on this i need it asap 40 + 56 ÷ p - q
Answer:
40 + 56/p - q
Step-by-step explanation:
This equation is weird. Your answer should be 40 + 56/p - q
The only thing that would change is writing "56 ÷ p" as a fraction.
Now, here's the weird part.
If you try to solve it after rewriting "56 ÷ p" as a fraction, your answer would look like this:
40p + 56 − qp
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
p
Unless you have a math-based keyboard that would write 40p + 56 − qp over p as a fraction formatted like the equation shown above (instead of having to put a bunch of dashes so it looks like a long fraction line), then I'd stick with just typing 40 + 56/p - q.
A(2, 4) , B(4,0) & D(-4, 0). Here, the x- and y-coordinates are measured in meters. What is the area of the plot of land?
Answer:
[tex]Area = 16[/tex]
Step-by-step explanation:
Given
[tex]A = (2,4)[/tex]
[tex]B = (4,0)[/tex]
[tex]D = (-4,0)[/tex]
Required
The area of the plot
The given coordinates show a triangle; and the area is calculated as:
[tex]Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|[/tex]
[tex]Area = \frac{1}{2}|2*0 - 4*4 + 4*0 - -4*0 + -4*4 - 2*0|[/tex]
[tex]Area = \frac{1}{2}|-16 + 0 -16|[/tex]
[tex]Area = \frac{1}{2}|-32|[/tex]
[tex]Area = \frac{1}{2}*32[/tex]
[tex]Area = 16[/tex]
6. Factor 4x from 22x2 + 40x 6.
6. Factor 4x from 22x2 + 40x 6.
is that multiply 4x 22x2 +40x6
Answer:
I think that would be 4(71 - ×)
Two planes Intersect in a ___
A. point
B. ray
C. line
D. line segment
Answer:
C.The answer is line
Step-by-step explanation:
Answer:
If two planes are not parallel or coincident, then their intersection is a line.
Step-by-step explanation:
4+5 4+5 4+5 4+5 ...................
Answer:
69
Step-by-step explanation:
Answer:
9 9 9 9...................
Step-by-step explanation:
i d k if you meant 54 or 5 and 4
Write 10^-7 as a fraction
Answer:
-10000000/1 or 10^-7/1
Step-by-step explanation:
You can divide anything by 1 to make a fraction.
Have a nice day!
Christine is 8 years younger than yuri. Express christine's age in terms of yuri's age
Jack is learning to save, spend, and give his money away. He has determined to give away 10% of his summer earnings. If he gives away 256 dollars, then how much did he each this summer?
Answer:
$2,560
Step-by-step explanation:
Just multiply 256 by 10, and you get his money earned.
The following table represents the total cost, in dollars (y) to join a gym for x number of months. The cost includes a one-time joining fee of 10$. Does the data in the table represent a proportional relationship? How do you know?
Answer:
The table does not represent a proportional relationship because the ratio of the y-values to the corresponding x-value at each data point is not constant
y/x ≠ Constant
Step-by-step explanation:
The table of values for the total cost in dollars (y) to join a gym for "x" number of months is presented as follows;
x; 1, 2, 3, 4, 5
y; 25, 40, 55, 70, 85
The rate of change of the data in the table is given by the following formula;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Between the 1st and the 3rd point, we have;
m = (55 - 25)/(3 - 1) = 15
Between the 1st and the 5th point, we have;
m = (85 - 25)/(5 - 1) = 15
Therefore, the rate of change of the y values per unit change of the x-value is 15
Therefore, the "x" and y-values have a linear relationship
However, for a proportional relationship, we have;
y/x = Constant
At the 1st point, we have;
25/1 = 25
At the 3rd point, we have;
55/3 = 18.[tex]\overline 3[/tex]
∴ y/x is not constant and the the data in the table does not represent a proportional relationship.
This oblique circular cone has a radius of 5\text{ m}5 m5, start text, space, m, end text and a height of 6\text{ m6 m6, start text, space, m, end text. What is the volume of the figure? Give an exact answer in terms of pi.
Answer:
[tex]157 m^{3}[/tex]
Explanation:
Volume = 1/3(area of base) times height. 1/3(PI X R(squared)) X height. 1/3 x 3.14 x 25 x 6 = 157
Hope this helps and have a great day/night!
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The required volume of the figure is 50π cubic meters.
What is the volume of a cone?The volume of a cone is defined as the amount of space occupied by a cone in a three-dimensional plane.
The volume of an oblique circular cone is given by the formula:
V = (1/3) × π × r² × h
Where V is the volume, π is approximately 3.14, r is the radius, and h is the height.
As per the question, we are given that the radius is 5 meters and the height is 6 meters, so we can substitute these values into the formula:
V = (1/3) × π × (5²) × 6
V = (1/3) × π × 25 × 6
V = (1/3) × π × 150
V = 50π
Therefore, the volume of the figure is 50π cubic meters.
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If a boat goes down stream 72 milesind upstream 60 miles in 6 hours, the rate of the river and the rate of the boat in still water respectively are
Answer:
Speed of boat in still water = 11 miles per hour.
Step-by-step explanation:
Speed = distance / time
or
Distance= Speed * time
Let s be speed of the boat upstream and r be the speed of the river.
Then
Upstream speed= s- r = 60/6= 10 miles per hour
Downstream speed= s+r= 72/6= 12 miles per hour
Therefore
s-r= 10--------- equation A
s+r= 12--------- equation B
Adding equation A and Eq. b
s-r= 10--------- equation A
s+r= 12--------- equation B
2s = 22
or
s= 22/2= 11 miles per hour.
Speed of boat in still water = 11 miles per hour.
how many rectangles can be made with an area of 144cm whose sides are whole numbers? PLSSS Helpp!
A triangle has angle measurements of 50°, 50°, and 80°. What kind of triangle is it?
Answer:
I would guess an Acute triangle
Step-by-step explanation
because all 3 sides are under 90 degrees so it cant be a right and its very close in size so its rather acute and if not its Isosceles.
Answer:
acute triangle
Step-by-step explanation:
three angles are under 90°
find the area of a rectangle that has a length of 4ab^2 and a width of 6a^2b
Answer:
Step-by-step explanation:
∵A= l×b
⇒A= 4ab^2 × 6a^2b
⇒A= 24a^2b+1×b^2
Explanation: When multiplying indices, add the exponents of similar bases (that is, a^2×a = a^2+a^1 =a³) thus a^2b+1.
I hope this helped.
how to calculate the difference in time between 5:44 and 11:49
Answer:
minutes seperately and hours seperately
6:05 is the time difference
Step-by-step explanation:
Yu narukami fight me rigth now⇆⇆π⇒ωω↑ω⊇→→∧∉⇔⇒ππ∠⇄㏑∡⇄⇆→←βαβ∀∀⊅⊄ФФω≅
Answer:
jvhsucrkchnufecnigtyrnvtdcvhkbubtrddtrthgbnytdfctry
Step-by-step explanation:
Which quadratic function is represented by the graph?
f(x) = 0.5(x + 3)(x − 1)
f(x) = 0.5(x − 3)(x + 1)
f(x) = 2(x + 3)(x − 1)
f(x) = 2 (x − 3)(x + 1)
Answer:
f(x) = 0.5(x + 3)(x − 1)
Complete the table of values for y = 0.5x + 1
can you help?
hope the answer can help you.
Answer:
x is -2, -1, 0, 1, 2 and y is 0, 0.5, 1, 1.5, 2
When you divide both sides of an inequality by a negative number, you need to _____ the inequality symbol.
A. flip
B. eliminate
C. raise
D. multiply
Answer:
The correct option is option;
A. Flip
Step-by-step explanation:
When both sides of an inequality is divided by a negative number, it changes the sign of both numbers while their magnitude remain the same;
Therefore, if the right hand side of the inequality is lesser than the left hand side, when the signs of the left and right hand sides of the inequality changes after a division , by a negative number, we have;
The smaller right hand side of the inequality will then have a lesser negative magnitude than the left hand side of the inequality with a higher negative value and the left hand side (with the higher negative value) becomes lesser than the right and therefore, the symbol (sign) of the inequality is flipped
Therefore, when you divide both sides of an inequality by a negative number, you need to flip the inequality symbol.