Answer:
The maximum volume the cube could have is 729 cubic inches
Step-by-step explanation:
The total surface area of the cube equals the total area of material used.
Let A = total surface area of cube = 6L² where L = length of side of cube
Since A = total area of material used, A = 486 in²
So 486 in² = 6L²
L = √(486 in²/6)
= √81 in²
= 9 in
The volume of the cube V = L³ where L = length of side of cube
So, V = (9 in)³
= 729 in³
So the maximum volume the cube could have is 729 cubic inches.
The maximum volume that the box could have will be 729inches³.
Based on the information given, the first thing to do is to find the length of the shape. This will be:
Length = ✓(486/6)
Length = ✓81
Length = 9
Therefore, the volume of the cube will be:
= 9³
= 9 × 9 × 9
= 729 in³.
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help a girl outt!! pleasseee answer asapppp:)) will mark brainliest
Answer:
ok
Step-by-step explanation:
Kelvin ran in a race over the weekend and ran 4 kilometres in 20 minutes. Choose all of the th emu it rates that represent the problem A) 1 km in 5 min B)5 km in 1 min C)4/20 km in 1 min D)4/20 min in 1 km E) 3/5 km in 1 min
Answer:
A) 1 km in 5 min
C.) 4/20 km in 1 min
Step-by-step explanation:
Given that:
Kevin ran 4 km in 20 minutes
A) 1 km in 5 min B)5 km in 1 min C)4/20 km in 1 min D)4/20 min in 1 km E) 3/5 km in 1 min
4 km in 20 minutes :
4km / 20 minutes = 1km / 5 minutes
4/20 km in 1 minute = 0.2 km in 1 minute
If :
1 km = 5 minutes
x km = 1 minute
Number of kilometers in 1 minute :
1/5 = 0.2 km per minute
Hence, Option A and C
A company tests the life of its rechargeable batteries over six months of use. They test how long a battery will last after a full charge and put the data into a scatter plot. On the best-fit line y=-12.05+224.26 about how many months will a typical battery last before it is completely dead? Round your answer to the nearest tenth of a month.
Answer:
18.6 months
Step-by-step explanation:
Given that :
Best fit line from scatterplot :
y=-12.05x +224.26
x = Number of month
y = charge on battery
Number of months a typical battery uses before being dead completely :
When battery is dead completely ; charge =0, y = 0
y = -12.05x + 224.26
0 = - 12.05x + 224.26
12.05x = 224.26
x = 224.26 / 12.05
x = 18.610788
Hence, 18.6 months before battery is completely dead.
Consider the statement: 4−3+5=−6+8+4. This is a mathematically correct sentence.Is the sentence true or false? Explain how you know.
Answer:
This is true because 6 does infact equal 6
Step-by-step explanation:
First see if the solution is true by seeing if x = x
So solve both sides
4-3+5 = -6+8+4
1+5 = 2+4
6 = 6
Please help! 2nd time asking!
Answer:
4
Step-by-step explanation:
Function 1 is moving at a constant rate meaning it has the rate of change of 0/1 or 0.
Function 2 says y is 4x meaning that the rate of change is 4/1 or 4.
0 - 4= I-4I or 4
emily have 6 times more candy than heily but tom have 8 more candys than heily. in total theres 32 candys. How many candys every kid have?
Answer:
Step-by-step explanation:
If heily has 3 candies the emily has 6 times more than that = 3 x 6 = 18
And Tom has 8 candies more than heily = 3 + 8 = 11
Total = 3 + 18 + 11 = 32
Age of father is 30 years more than that of his son, 5 years hence fathers age will be thrice of his sons age. Find their present ages
Answer:
Son age be 10
And, the father age be 40
Step-by-step explanation:
The computation of the present ages is shown below:
Let us assume the son age be x
And, the father age be x + 30
Now after five hence, their ages are
Son age = x + 5
And, the father age be = x + 30 + 5
Also the father age is thrice of his son age
So the equation would be
3(x + 5) = x + 35
3x + 15 = x + 35
2x = 20
x = 10
The son age is 10
And, the father age is = 10 + 30 = 40
The correct ans is Five,
Let the son’s present age be x years.
Then the father’s present age is (x+30) years.
Father’s age after 5 years =(x+40) years
Son’s age after 5 years = (x+5) years
(x+40) = 3[x + 5]
x + 40 = 3x + 15
2x = 10
∴ x = 5
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work out 4.52 times by 36
I just it into a calculator and got 162.72. Hope this helps you! Have a nice day and a nice rest of the holidays!
The product of 4.52 times by 36 is 162.72
Given,
4.52 times by 36
We need to find the product.
How do multiply decimal numbers?Example:
2.3 x 3.4 = 7.82
There are two numbers after the decimal point.
In 2.3 there is one number after the decimal point.
In 3.4 there is one number after the decimal point.
Now,
1 + 1 = 2 numbers
7.82 has two numbers after the decimal point.
We have,
4.52 times by 36
4.52 x 36 = 162.72
4.52 x 6 = 27.12
4.52 x 3 = 13.56
4.52
x 36
27.12
13.56
162.72
4.52 has two numbers after the decimal point.
162.72 has two numbers after the decimal point.
Thus the product of 4.52 times by 36 is 162.72
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Write an equivalent fractions for 3/7 and 1/3 using 21 as the common denominator
Answer:
9/21 & 7/21
Step-by-step explanation:
Equivalent fraction for [tex]\frac{3}{7}[/tex] and [tex]\frac{1}{3}[/tex] using 21 using as the common denominator are [tex]\frac{9}{21} ,\frac{7}{21}[/tex].
What are equivalent fraction?"Equivalent fraction is fraction with different numerator or denominator
that represents the same value or proportion of the whole."
What is common denominator?"Common denominator is the same denominator of all the fraction"
We have to write an equivalent fractions for [tex]\frac{3}{7}[/tex] and [tex]\frac{1}{3}[/tex] using 21 as common denominator.
As we know when we multiply [tex]7[/tex] by [tex]3[/tex] to get [tex]21[/tex]
and we have to multiply [tex]3[/tex] by [tex]7[/tex] to get [tex]21[/tex]
⇒[tex]\frac{3}{7}=\frac{3}{7}[/tex]×[tex]\frac{3}{3}=\frac{9}{21}[/tex]
⇒[tex]\frac{1}{3}=[/tex][tex]\frac{1}{3}[/tex]×[tex]\frac{7}{7}=\frac{7}{21}[/tex]
Hence, Equivalent fraction for [tex]\frac{3}{7}[/tex] and [tex]\frac{1}{3}[/tex] using 21 as common denominator are [tex]\frac{9}{21} ,\frac{7}{21}[/tex].
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Caden earned $24 for cleaning his neighbor's house 6 times. If Caden charged the same rate and earned $40, how many times did he clean his neighbor's house? Use a unit rate to find the unknown value.
Answer:
2 time s=two then minus the neighbors kids
Step-by-step explanation:
Can somebody please solve these for me I don't wana do it (thats why i am using so many points)
Down
6. 4,011
10. -94
11. 26
13. 178
15. -8
16. 6,861
18. 3,482
20. 385
22. 788
24. -5
25. 44
Across
1. -248
5. -9
7. 4,923
8. 90
9. 67
10. -912
12. 119
14. 16
15. -6
17. 743
19. 8,838
21. 47
23. 68
24. -884
26. 15
27. 7,284
The 6% state income tax on a $40,000 salary
Answer:
2400
Step-by-step explanation:
because 6 percent of 40000 is 2400 please mark brianliest
PLEASE HELP URGENT WILL MARK BRAINLIEST
Answer:b) intersecting
CAN SOMEONE PLEASE HELP ME WITH THIS please please help me with this please please
Answer:
Congruent
3x= 360 I believe if this is the outside of the triangle?
x= 120
Step-by-step explanation:
brainliest
Answer:
1. Congruent
2. 3x= 360
3. x= 120
Step-by-step explanation:
Assume your gross pay per pay period is $2,300.00 and you are in the 28 percent tax bracket. Calculate your net pay and spendable income if you save $230.00 per pay period in a tax-sheltered annuity. (Do not round intermediate calculations. Round your answers to the nearest whole dollar.)
please help!! i’ll give brainliest!!
Answer:
a- 1,100
b- 12
c- the price also increases.
Step-by-step explanation:
Austin correctly answered 92% of the questions on a geography quiz. Liz answered 47 of the 50 questions correctly.
Who earned the higher score? Compare their scores.
Austin answered 47 of the questions correctly, which is greater than 94%, so Liz earned the higher score.
Austin answered 47 of the questions correctly, which is less than 92%, so Liz earned the higher score.
Liz answered 47 of the questions correctly, which is less than 92%, so Liz earned the higher score.
Liz answered 47 of the questions correctly, which is greater than 92%, so Liz earned the higher score.
Answer:
So if you do the math liz got a 94 so two points higher than Austin so the answer is the last one
Step-by-step explanation:
Answer:d liz had the higher score
Step-by-step explanation:
calculator
What is the percent of change of 25 when decreased to 18?
Answer:
your answer is that it decreases to 7%
Answer:
28% decrease
Step-by-step explanation:
(18−25)|25|×100
=−725×100
=−0.28×100
=−28%change
=28%decrease
What are the solution(s) of y-4= 0?
X=-4 0r x= 4
X=-2 or x= 2
X=2
X=4
Answer: X=-2 or x= 2
A jar contains 5 blue, 3 red. and 7 white balls. What is the approximate probability of drawing a blue or red ball on the first draw?
A. 33%
B. 80%
C. 53%
D. 67%
Answer:
C
Step-by-step explanation:
A dog has a litter of 5 puppies. You plan to adopt 2 of the puppies. In how many ways can you choose 2 of the puppies from the litter?
Step-by-step explanation:
Number of choices = 5C2 = 5 * 4 / (1 * 2) = 10.
I need help on this .....,,,
Answer: false
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
The y-intercept is at -7, and the slope is two (move to the right one and up two or left one and down two)
1/3x + 2y =4 x + y =-3
Answer:
x = -9/23 or y = -33/23 = -1 10/23
Step-by-step explanation:
Please mark brainliest.
Answer:
x= -9/23
y= -3/33
Step-by-step explanation:
Plsssss help I needdd help
Answer:
';ouiehdgfw;i[hgvc
Step-by-step explanation:
its very good have patience gurrrrrrrrrl lol
i need heelllppppp plzzzz someone helllppp meee
Answer:
The equation of the line is y = [tex]-\frac{4}{5}[/tex] x + [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptThe rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the line∵ A line passes through points (2, -1) and (-3, 3)
∴ x1 = 2 ad y1 = -1
∴ x2 = -3 and y2 = 3
→ Use the rule of the slope above to find the slope of the line
∵ m = [tex]\frac{3--1}{-3-2}[/tex] = [tex]\frac{3+1}{-5}[/tex] = [tex]\frac{4}{-5}[/tex]
∴ m = [tex]-\frac{4}{5}[/tex]
→ Substitute the value of m in the form of the equation above
∴ y = [tex]-\frac{4}{5}[/tex] x + b
→ To find b substitute x and y in the equation by the coordinates of one
point of the given points
∵ x = 2 and y = -1
∴ -1 = [tex]-\frac{4}{5}[/tex] (2) + b
∴ -1 = [tex]-\frac{8}{5}[/tex] + b
→ Add [tex]\frac{8}{5}[/tex] t both sides
∵ -1 + [tex]\frac{8}{5}[/tex] = b
∴ [tex]\frac{3}{5}[/tex] = b
→ Substitute the value of b in the equation
∴ y = [tex]-\frac{4}{5}[/tex] x + [tex]\frac{3}{5}[/tex]
∴ The equation of the line is y = [tex]-\frac{4}{5}[/tex] x + [tex]\frac{3}{5}[/tex]
A beetle that Hannah observed was too small to draw at its actual size. Hannah decided to make a scale drawing of the beetle as shown above. The beetle in the drawing is 7.62 cm long and 3.81 cm wide. The scale factor of her drawing is 3. Part A: Find the actual length of the beetle Hannah observed. Show all work. Part B: Find the actual width of the beetle Hannah observed. Show all work. Part C: The actual length of each of the beetle's antennae is 0.2 cm. What is the size of each antenna on Hannah's scale drawing? Show all work.
Answer:
[tex]Actual\ Length = 2.54\ cm[/tex]
[tex]Actual\ Width = 1.27\ cm[/tex]
[tex]Scale\ Length = 0.6\ cm[/tex] --- Beetle's antennae
Step-by-step explanation:
Given
The following scale measurements
[tex]Length = 7.62cm[/tex]
[tex]Width = 3.81cm[/tex]
[tex]Scale\ Factor = 3[/tex]
Solving (a): The actual length.
We simply divide the scale length by the scale factor.
[tex]Actual\ Length = \frac{Scale\ Length}{Scale\ Factor}[/tex]
[tex]Actual\ Length = \frac{7.62cm}{3}[/tex]
[tex]Actual\ Length = 2.54\ cm[/tex]
Solving (b): The actual width.
We simply divide the scale width by the scale factor.
[tex]Actual\ Width = \frac{Scale\ Width}{Scale\ Factor}[/tex]
[tex]Actual\ Width = \frac{3.81\ cm}{3}[/tex]
[tex]Actual\ Width = 1.27\ cm[/tex]
Solving (c):
Given: Actual Length of the beetle's antennae is 0.2 cm.
Required: Determine the scale measurement.
This is solved using:
[tex]Actual\ Length = \frac{Scale\ Length}{Scale\ Factor}[/tex]
[tex]0.2\ cm = \frac{Scale\ Length}{3}[/tex]
[tex]Scale\ Length = 0.2cm * 3[/tex]
[tex]Scale\ Length = 0.6\ cm[/tex]
(will mark brainliest)
The new borders in Europe caused tensions to grow.
A. TRUE
B. FALSE
Answer:
A. True
Step-by-step explanation:
In Europe and across the world, the tensions from the Cold War affected the borders of various countries, but the two opposing sides were not quick to agree and “forgive” each other, like siblings do. Overall, the Cold War affected the borders of Europe and other countries across the world by splitting various countries and dividing continents.
Answer:
this is true mark me brainliest please have a great
day :)
Step-by-step explanation:
The diagram shows a door that has a window in it. The front faces of the door and the window are similar rectangles that have the dimensions shown.
What is h, the height of the window in centimeters?
Answer:
Step-by-step explanation:
The diagram shows a door that has a window in it. The front faces of the door and window are similar rectangles that have the dimensions shown. What is h, the height of the window in centimeters?
A. 66 cm
B. 150 cm
C. 186 cm
D. Not here.
Source:
Question that can be found at quizizz
Step-by-step explanation:
Let's recall that if the door and the window in it are similar rectangles, then we have:
Write a linear function f with the values f(−1)=8 and f(5)=6.
Answer:
f(x)=1/3x+23/3
Step-by-step explanation:
Find the slope:
m= -1/3
Find the y-intercept:
b= -7 2/3
Substitute in the numbers to get:
f(x)=1/3x+23/3
Hope this helps! :)
The value of the linear equation will be;
⇒ f (x) = -1/3x + 23/3
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The values are;
⇒ f (-1) = 8 and f (5) = 6
Now,
Let the linear function is,
⇒ f (x) = ax + b
Substitute f (-1) = 8 and f (5) = 6 in above equation as;
⇒ f (-1) = a × -1 + b
⇒ 8 = - a + b ... (i)
And, ⇒ f (5) = a × 5 + b
⇒ 6 = 5a + b ... (ii)
Solve (i) and (ii) as;
a = - 1/3 and b = 23 / 3
So, The linear equation become;
⇒ f (x) = ax + b
⇒ f (x) = -1/3x + 23/3
Thus, The value of the linear equation will be;
⇒ f (x) = -1/3x + 23/3
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What is the slope of the line that passes through the points (6, -5) and (6, -8)?
Write your answer in simplest form.