need answers, please explain asap! need the answer for 2 and 3!

Need Answers, Please Explain Asap! Need The Answer For 2 And 3!

Answers

Answer 1
Key ConceptsSurface Area and Volume of a Cube

Volume of a cube formula: [tex]V=a^3[/tex]

Surface area of a cube formula: [tex]SA=6a^2[/tex]

[tex]a[/tex] is the side length

Area of a Trapezoid

Area of a trapezoid formula: [tex]A=\dfrac{1}{2}(a+b)h[/tex]

[tex]a[/tex] is the length of the top side[tex]b[/tex] is the length of the bottom side[tex]h[/tex] is the height (forms a right angle with the bottom of the trapezoid)

Solving the QuestionQuestion 2

We're given:

Volume of the cube = 343 cm³We must solve for the surface area

First, use the volume formula to solve for the side length:

[tex]V=a^3[/tex]

⇒ Plug in the known volume:

[tex]343=a^3\\\sqrt[3]{343}=\sqrt[3]{a^3}\\a=7[/tex]

Therefore, [tex]a=7[/tex].

Now, plug this value into the formula for surface area:

[tex]SA=6a^2\\SA=6(7)^2\\SA=294[/tex]

Therefore, the surface area of the cube is 294 cm².

Question 2

We're given:

One can of paint covers 72 ft²[tex]a=14[/tex][tex]b=24[/tex][tex]h=16.5[/tex]

For this question, we must solve for the area of the trapezoid, then divide its double by 72 to find how many cans of paint we need for two coats.

Solve for the area of the trapezoid:

[tex]A=\dfrac{1}{2}(a+b)h[/tex]

⇒ Plug in the given information:

[tex]A=\dfrac{1}{2}(14+24)(16.5)\\\\A=\dfrac{1}{2}(38)(16.5)\\\\A=(19)(16.5)\\A=313.5[/tex]

Therefore, the area of the trapezoid is 313.5 ft²

Multiply it by 2:

[tex]313.5*2\\=627[/tex]

Divide this by 72:

[tex]\dfrac{627}{72}\\\\=8.7[/tex]

Therefore, we need 9 cans of paint to paint two coats over the deck.


Related Questions

The ratio of cars to trucks in a parking lot was
4:7. For every _____
cars there were ______
trucks.

Answers

Answer:

For every 4 cars, there were 7 trucks.

Step-by-step explanation:

We go in the order it's given, if there are cars to trucks, we can assume the numerator in the ratio will be cars, and the denominator in the same ratio will be trucks.

Answer:

4, and 7

Step-by-step explanation:

if the ratio of cars to trucks is 4:7, that means there are 4 cars to every 7 trucks

What is the greatest common factor of 96 and 72

Answers

First, do the prime factorization.

96 = 2 x 2 x 2 x 2 x 2 x 3

72 = 2 x 2 x 2 x 3 x 3

The GCF is the product of their shared factors.

They share 2, 2, 2, and 3.

2 x 2 x 2 x 3 = 24.

Their GCF is 24.

The greatest common factor of the given numbers 96 and 72 will be equal to 24.

What is an arithmetic operation?

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given number for GCF in the question,

Firstly, factorize the given numbers,

96 = 2 x 2 x 2 x 2 x 2 x 3

72 = 2 x 2 x 2 x 3 x 3

The result of their shared factors is the GCF.

2 x 2 x 2 x 3 = 24.

Therefore, the GCF is 24.

To know more about arithmetic operations:

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Driver's Delight is considering building a new circular track with a diameter of 150 feet, what is the circumference of the track ​

Answers

Answer:

C ≈ 471.24

Step-by-step explanation:

Using the formula C= 2(pi)r we must find the radius first. Radius is half the diameter, which is 150 in this equation. We plug in c = 2(pi)75, and solve from there :)

Annabelle went to the store to buy some apples. The price per pound of the apples is $3.75 per pound and she has a coupon for $3.25 off the final amount. With the coupon, how much would Annabelle have to pay to buy 3 pounds of apples? Also, write an expression for the cost to buy pp pounds of apples, assuming at least one pound is purchased.

Answers

Answer:

final cost of 3 pounds:  8 dollars  

final cost of p pounds:   3.75p - 3.25  dollars  

Step-by-step explanation:

I'm not sure if I'm right or wrong can someone explain to me what the correct answer is asap?

Answers

Answer:

4

Step-by-step explanation:

I know this because if you try multiply each number there by 45 you would need to get the total of 180, but if you multiply 45 times 4 you may get 180. The answer you chose is wrong because it doesn't get to 180 with any number you try multiplying with that number you chose.  

At a movie theater, the size of popcorn bags decreased by 20%. Id the old bags held 15 cups of popcorn , How much do the new bags hold?

Answers

Answer:

25

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

A sold an article to B at a gain of 10% ,B sold it to C at a gain of 20% .If C paid Rs.2,640 for it,what did it cost A?
Help me with this question please ​

Answers

Answer:

$2,000

Step-by-step explanation:

Since B sold the article to C at a gain of 20%, 2,640 must be 120% or 1.2 times the price that B paid.

To find the price that B paid, we just need to divide 2,640 by 1.2, as the original price multiplied by 1.2 = a 20% increase.

2,640/1.2= 2,200

The price B paid for it must have been 2,200.

Now we know that 2,200 was the price sold by A to gain 10%, therefore it is 110% or 1.1 times the original price A paid for it. Therefore, once again to find the original price, we just need to divide it by 1.1:

2,200/1.1 = 2,000

The original price it cost A was $2,000.

Hope this helped!

Which of the following represents the perimeter of the figure below?

Answers

P = 2 * (6x - 5) + 2 * (1/4x + 2)

  = 12x - 10 + 1/2x + 4

  = 12 1/2x - 6   => A


Which of the following are remote interior angles of 6? Check all that apply.


Answers

Answer:

esla  de f                     b

Step-by-step explanation:

what is2(12-w)=-2(w-17)-10

Answers

Answer:

17=w

Step-by-step explanation:

decompose the brackets

24-2w=2w-34-10

collect like terms

24+34+10=2w+2w

68=4w

divide by 4

17=w

PLEASE HELP I NEED TO PASS
“Find g(6) when g(x)=2x-16”

Answers

Answer:

-4

Step-by-step explanation:

you just plug in. so, 2(6)-16

so, 2*6 is 12

12-16=-4

Answer:

g(6)= -4

Step-by-step explanation:

g(6) means x is equal to 6

g(6)= 2(6)-16

          12-16

g(6)= -4

Hope this helps!

the sum of 3 and 7 times a number is 45

Answers

Answer:

4.5

Step-by-step explanation:

The sum of 3 and 7 is 10

then what number to you multiply 10 by to get 45

45 ÷ 10 = 4.5

so the answer is 4.5

Which equation has a solution of x = 15?
A. X + 7 = 12
B. 15 + x = 10
C. 13 + x = 38
D. x + 24 = 39

Answers

D. 15 + 24 = 39
You're welcome :)

Hey there!

Let's solve all these equations.

The first equation:

x+7=12

subtract 7 from both sides:

x=5

not 15 ;)

The second equation:

15+x=10

subtract 15 from both sides:

x=-5

not 15 ;)

13+x=38

subtract 13 from both sides:

x=38-13

x=25

not 15 ;)

let's try the last option (it has to work)

x+24=39

subtract 24 from both sides:

x=15

Yep!

Hence,

[tex]\boxed{\boxed{\bold{Option~D~is~correct.}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

Activity 1 Lesson 1 Patterns , Sequences and Rules

Answers

Answer:

6.

1 table seats 5 students

2 tables seat 8 students

3 tables seat 11 students

4 tables seat 14 students

5 tables seat 17 student

Each new tables allows 3 more students to have a seat.

7.

Each additional table does not have seats for 5 students because the side of it is pressed against another table, so a student cannot sit there.

Max lost 23 pounds while on a diet. He
now weighs 184 pounds. Write and solve
an equation to find his initial weight w.

Answers

184+23=w
207=w
That’s the answer 207

Which expression is equivalent to −10.75(20x+15.2)?

Answers

Answer:

See below.

Step-by-step explanation:

-10.75(20x+15.2)

-215x-163.4

-hope it helps

The equivalent expression is,

⇒ - 215x - 163.4

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 expression is,

⇒ - 10.75 (20x + 15.2)

Now, We can simplify as;

⇒ - 10.75 (20x + 15.2)

⇒ - 10.75 × 20x - 10.75 × 15.2

⇒ - 215x - 163.4

Thus, The expression is equivalent to - 215x - 163.4.

Learn more about the mathematical expression visit:

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Wilma works at a bird sanctuary and stores bird seed in plastic containers. She has 5 small containers that holds 8 pounds of bird seed each and 6 large containers that hold 12 pounds of bird seed each. Each container was full until she used 4 pounds of bird seed. She wants to put some of the remaining bordered into 26 bird feeders that can hold 2 pounds each. How much birdseed does she have left over? Show the expression you used to find your answer.

Answers

Answer: 56lb

Step-by-step explanation:

Wilma has:

5 small containers that hold 8 lb each: Here we have a total of 5*8lb = 40 lb

6 large containers that hold 12 lb each: Here we have a total of 6*12lb = 72 lb

There is a total of 40lb + 72lb = 112 lb.

Now we know that she uses 4 lb, so now she has:

112lb - 4lb = 108lb.

Now she wants to fill 26 bird feeders, that can hold 2 lb each.

So she needs 26*2lb = 52lb

The amount of bird seeds that she has left is:

108lb - 52lb = 56lb

What is log subscript 6 baseline e superscript f rewritten using the power property? e log subscript 6 baseline f f log subscript 6 baseline e log subscript 6 baseline (e times f) log subscript 6 baseline (e f)

Answers

The value of the given expression will be  [tex]\rm (f\ Log_6\ e)[/tex]

What will be the value of the given expression in the question?

It is given in the question that

log subscript 6 baseline e superscript f

When we convert it into the mathematical form we get

[tex]\rm=Log_6\ e^f[/tex]

Now from logarithmic property

[tex]\rm Log_a\ u^n=n\ Log_a\ u[/tex]

By using this property the expression will become

[tex]\rm Log_6\ e^f= f\ Log_a\ u[/tex]

Thus the value of the given expression will be [tex]\rm Log_6\ e^f= f\ Log_a\ u[/tex]

To know more about Logarithmic functions follow

https://brainly.com/question/13473114

Answer:

flog6e

Step-by-step explanation:

promise it's correct

What is 25637 to 1 significant figure

Answers

Answer:

30000

Step-by-step explanation:

Currently there are 5 significant figures.  Since there is a 5 after the 2, it would round it up to a 3.  Zeros aren't considered significant figures unless there is a period.  Therefore, 30000 is the answer.  3 is the 1 significant figure with four insignificant zeros.

Answer:

30000

Step-by-step explanation:

Remember non-zero numbers are significant.

Zero between non zero numbers are significant.

So 25637 to 1 significant figure is rounding it off to the nearest ten thousand in a simple way.

So 25637 to 1 significant figure simply becomes 30000.

HOPE IT HELPED.

ENJOY THE REST OF YOUR DAY OR NIGHT

Bill's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 5 adult tickets and 14 student tickets for a total of $198. The school took in $156 on the second day by selling 10 adult tickets and 8 student tickets. Find the price of an adult ticket and the price of a student ticket.

Answers

Answer: The price of an adult ticket = $6

The price of a student ticket = $12

Step-by-step explanation:

Let the price of an adult ticket be a

Let the price of a student ticket be b.

From the question,

5a + 14b = 198 ...... equation i

10a + 8b = 156....... equation ii

Multiply equation i by 10

Multiply equation ii by 5

50a + 140b = 1980 ...... equation iii

50a + 40b = 780 ....... equation iv

Subtract iv from iii

100b = 1200

b = 1200/100

b = 12

Put the value of b into equation ii

10a + 8b = 156

10a + 8(12) = 156

10a + 96 = 156

10a = 156-96

10a = 60

a = 6

The price of an adult ticket = $6

The price of a student ticket = $12

9. Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation to find out how many hours, h, they rented the boat if the total cost was $33. Solve.

h =

Just give the answer, no h =

Answers

Answer:

9 hours

Step-by-step explanation:

Hannah mixed 6.83 lb of pretzels with 3.57 lb of popcorn. After filling up 6 bags that were the same size with the mixture, she had 0.35 lb left. What was the weight of each bag cant figur it out 5th grade math

Answers

Answer:

1.675 lb

Step-by-step explanation:

Given that Hannah mixed 6.83 lb of pretzels with 3.57 lb of popcorn.

So, after mixing, the total amount of mixture is

6.83 lb + 3.57 lb = 10.40 lb.

After filling up 6 bags that were the same size with the mixture, she had 0.35 lb left, so 0.35 lb of the mixture is not in the bag.

So,he total amount of mixture in 6 bags = 10.40 lb - 0.35 lb=10.05 lb, which is the weight of 6 bags.

The weight of one bag =\frac {10.05}{6} lb

=1.675 lb

As all the bags are of the same size, so the weight of all the bags are same,

Hence, the weight of each bag is 1.675 lb.

What are the x and y intercepts of a line described by the following equation? Please show your work for calculating the the x and y intercept:

-4x + 2y = 6

Answers

y)
-4(0)+2y=6
2y=6
y=3
x)
-4x+2(0)=6
-4x=6
x=-3/2

What is the answer to this? I will give 30 points and brainllest to the first person to answer correctly.

Answers

Answer:

15. 60% of 25 is 15.

6. Trapezoid DEFG with vertices D(-5, 15), E(10, 10), F(10,5), and G(-5,0):
k = 1/5

Answers

Answer:

D (-1,3)

E (2,2)

F (2,1)

G (-1,0)

Step-by-step explanation:

Multiply each point by 1/5.

Or think of it as dividing each point by 5

D (-5,15) divide -5 by 5 get -1, divide 15 by 5 get 3

so, (-1,3)

The coordinate of the new trapezoid will be D'(-1, 3), E'(2, 2), F'(2, 1), and G'(-1, 0).

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

Trapezoid DEFG with vertices D(-5, 15), E(10, 10), F(10,5), and G(-5,0).

The scale factor will be 1/5. Then the coordinate of the new trapezoid will be given as,

D' = (-5/5, 15/5) = (-1, 3)

E' = (10/5, 10/5) = (2, 2)

F' = (10/5, 5/5) = (2, 1)

G' = (-5/5, 0/5) = (-1, 0)

The direction of the new trapezoid will be D'(- 1, 3), E'(2, 2), F'(2, 1), and G'(- 1, 0).

The diagram is given below.

More about the dilation link is given below.

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1.A rectangular prism has a volume of 1080 cubic cm. Its dimensions are 5 cm, (x + 12) cm, and (x + 6) cm. What is the value of x?

Answers

Answer:

x = 6 cm

Step-by-step explanation:

Volume of a rectangular prism = length × width × height

Length = 5 cm

Width = (x + 12) cm

Height = (x + 6) cm

Volume of a rectangular prism = 1,080 cubic centimeter

Volume of a rectangular prism = length × width × height

1080 = 5 * (x+12) * (x+6)

1080 = 5 (x^2 + 6x + 12x + 72

1080 = 5 (x^2 + 18x + 72)

1080 = 5x^2 + 90x + 360

Divide through by 5

216 = x^2 + 18x + 72

Subtract 216 from both sides

x^2 + 18x + 72 - 216= 0

x^2 + 18x - 144 = 0

Using factorization method to solve the quadratic equation

x^2 + 24x - 6x - 144 = 0

x( x+ 24) - 6 ( x + 24) = 0

(x + 24) (x - 6) = 0

x + 24 = 0

x = -24

x - 6 = 0

x = 6

x = -24 or 6

x can not be a negative value , so, x = 6 cm

Plz help i need it done fast

Answers

Sorry man I would want to help but I really don’t know how to do this. Sorry

A cookie recipe calls for 3/4 cups of flour and 1/2 cups of sugar. If you use 4.5 cups of flour, how many cups of sugar do you need?

Answers

Answer:

3 cups of sugar.

Step-by-step explanation:

Divide 4.5 by 0.75(cups of flour) which gives you 6. Multiply 6 by 1/2.

Find the equation of a line that passes through the points (4, 3) and (8,1)

Answers

Answer:  y= -1/2x + 5  

Step-by-step explanation:

We will write the equation in slope-intercept form meaning that we will need to find the slope and the y-intercept.

The slope-intercept for is y=mx +b   where m is the slope and b is the y-intercept.

Find the slope by find the difference in the y coordinates and divide it by the difference in the x-coordinates.

The y-coordinates are 3 and 1  

The x coordinates are 4 and 8.

3-1 = 2  

4-8 = -4  

2/-4=   -1/2  

The slope is -1/2  

We will now use one of the points and the slope to find the y-intercept by plotting their values into the formula .

3= -1/2(4) + b

3= -2 +  b

+2  +2

b= 5

The equation will be y= -1/2x + 5

I need this answer ASAP!! What is the area of a circle with a radius of 3/4?

Answers

The answer is A =π r 2

Answer:

A≈1.77

Step-by-step explanation:

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