PLEASE HELP I NEED TO PASS THIS TEST!!! (first actual answer gets brainliest)

Iliana rotated trapezoid WXYZ 180° about the origin.
*graph below*
What is the correct set of image points for trapezoid W’X’Y’Z’?

PLEASE HELP I NEED TO PASS THIS TEST!!! (first Actual Answer Gets Brainliest) Iliana Rotated Trapezoid
PLEASE HELP I NEED TO PASS THIS TEST!!! (first Actual Answer Gets Brainliest) Iliana Rotated Trapezoid

Answers

Answer 1

Answer:

W'(4, -2), X'(3, -4), Y'(1, -4), Z'(0, -2)

I hope this helps you. If you can give brainliest that would be greatly appreciated.

Answer 2

Answer:

W’(4, –2), X’(3, –4), Y’(1, –4), Z’(0, –2)

Step-by-step explanation:

look at picture

PLEASE HELP I NEED TO PASS THIS TEST!!! (first Actual Answer Gets Brainliest) Iliana Rotated Trapezoid

Related Questions

The graph of the quadratic function y = ax^2 + bx + c is given.
Find a + b + c.

Answers

Answer:

[tex]\frac{145}{24}\approx 6[/tex]***

Answers may vary depending on the person reading the graph.

It is hard to tell what they think crosses nicely.

For example, I decided that the graph crossed nicely at the following points:

[tex](0,3)[/tex]

[tex](2,8)[/tex]

[tex](6,5)[/tex]

Step-by-step explanation:

I see that the graph crosses at [tex](0,3)[/tex],[tex](2,8)[/tex], and [tex](6,5)[/tex].

The equation [tex]y=ax^2+bx+c[/tex] tells us the [tex]y[/tex]-intercept is [tex]c[/tex] since when [tex]x=0[/tex] we have [tex]y=a(0)^2+b(0)+c=0+0+c=c[/tex].

The [tex]y[/tex]-intercept for our graph is [tex]3[/tex]. Therefore, [tex]c=3[/tex].

So far we have the equation:

[tex]y=ax^2+bx+3[/tex].

Let's enter the other points creating a system of linear equations to solve:

[tex]8=a(2)^2+b(2)+3[/tex]

[tex]5=a(6)^2+b(6)+3[/tex]

Let's simplify:

[tex]8=4a+2b+3[/tex]

[tex]5=36a+6b+3[/tex]

Let's subtract 3 on both sides:

[tex]5=4a+2b[/tex]

[tex]2=36a+6b[/tex]

I choose to solve the system by elimination.

Let's multiply the top equation by -3:

[tex]-15=-12a-6b[/tex]

[tex]2=36a+6b[/tex]

Now adding the equations results in:

[tex]-13=24a[/tex]

Divide both sides by 24:

[tex]\frac{-13}{24}=a[/tex]

Now using one of the equations we can find [tex]b[/tex]:

[tex]5=4a+2b[/tex] with [tex]a=\frac{-13}{24}[/tex]

[tex]5=4\frac{-13}{24}+2b[/tex]

[tex]5=\frac{-13}{6}+2b[/tex]

Add 13/6 on both sides:

[tex]5+\frac{13}{6}=2b[/tex]

[tex]\frac{30+13}{6}=2b[/tex]

[tex]\frac{43}{6}=2b[/tex]

Divide both sides by 2:

[tex]\frac{43}{2(6)}=b[/tex]

[tex]\frac{43}{12}=b[/tex]

So we have the equation:

[tex]y=\frac{-13}{24}x^2+\frac{43}{12}+3[/tex]

Let's evaluate [tex]a+b+c[/tex] now:

[tex]\frac{-13}{24}+\frac{43}{12}+3[/tex]

[tex]\frac{-13+86+72}{24}[/tex]

[tex]\frac{73+72}{24}[/tex]

[tex]\frac{145}{24}[/tex]

Sabrina is catering a friend's party. A pan of chicken will feed 28 guests and a tray
of Turkey wraps will feed 42 guests. In total, the pans of food must feed at least 428
guests.

Part A: Write an inequality to represent the situation.

Part B: If she prepares 7 pans of chicken, what is the minimum number of trays of turkey wraps she must prepare for the party? Why?

Answers

Answer:

A : 428 ≤ 28x+42y B : 5.5238 trays

Step-by-step explanation:

X stands for # of pans of chicken and y stands for # of pans of wraps. Multiply 28 by 7 pans to get 196. then subtract the total guests by 196 to get 232. then divide that by how many a turkey wrap tray feeds so you get 5.5238

Final answer:

To ensure at least 428 guests are fed, using the given food pan capacities, Sabrina must prepare at least 6 trays of turkey wraps if she already plans on preparing 7 pans of chicken, according to the inequality 28x + 42y ≥ 428.

Explanation:

To solve this problem, we need to approach it in two parts. Let's tackle each part systematically.

Part A: Writing the Inequality

Let's let x represent the number of pans of chicken and y represent the number of trays of turkey wraps. Given that a pan of chicken feeds 28 guests and a tray of turkey wraps feeds 42 guests, and we need to feed at least 428 guests, we can write the following inequality:

28x + 42y ≥ 428

Part B: Finding the Minimum Number of Turkey Wraps Required

Given Sabrina prepares 7 pans of chicken, we need to find the minimum number of turkey wraps required. Substituting x = 7 into our inequality gives us:

28(7) + 42y ≥ 428

Solving for y gives:

196 + 42y ≥ 428

42y ≥ 232

y ≥ 5.5238

Since Sabrina cannot prepare a fraction of a tray, she must prepare at least 6 trays of turkey wraps to meet the minimum requirement, ensuring she has enough food to feed at least 428 guests.

How do you solve 44 ÷ 0.5

Answers

Answer:

88

Step-by-step explanation:

44 / 0.5 = 44*2 = 88

Answer:

Step-by-step explanation:

0.5 is the same as 5/10 which reduces to 1/2. Half of 44 is 22! The answer is 22!

5 more than the product of 23 and the number n

Answers

Answer:

5+(23xN)

I think this is right. Sorry if I'm wrong.

5+x (23+n) this is way wrong probably

How to solve in elimination
x=2y+1
-8x+2y=6

Answers

Answer:

look at the picture shown

How do you couculate Pi? So I can continue to find the number by hand. I’m trying to beet my classmates in who can get highest but I don’t know how to find the numbers.

Answers

You can hit the pi button on your calculator or find websites will all the pi numbers.

Evaluate the expression: 5 + 3 × (5 - 2) 2

16
32
36
72

Answers

Final answer:

Using the order of operations (PEMDAS), the expression 5 + 3 × (5 - 2) 2 evaluates to 32.

Explanation:

The expression to be evaluated is 5 + 3 × (5 - 2) 2. In mathematics you should always follow the order of operations, often remembered by the acronym PEMDAS which stands for: Parentheses, Exponents (i.e. Powers and Square Roots, etc.), Multiplication and Division, Addition and Subtraction. So in this case you should first evaluate the expression inside the parentheses (5 - 2), which equals 3. Then, 3 is squared to get 9 and is multiplied by 3 to get 27. Finally we add 5 to get a final answer of 32.

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You make $750 and 24% is taken out for taxes.
How much are the taxes?

Answers

If you have a calculator, you can do the following;

750 x 24 \ 100 which equals $180.
The taxes are 180 because 24% of 750 is 180

What is the converse of the following statement?
If you study in front of the television, then you do not
score well on exams.
F. If you do not study in front of the television, then you
score well on exams.
G. If you score well on exams, then you do not study in
front of the television.
H. If you do not score well on exams, then you study in
front of the television.
J. If you study in front of the television, then you score
well on exams.

Answers

Final answer:

The converse of the given statement switches the hypothesis and conclusion, leading to 'If you do not score well on exams, then you study in front of the television', which corresponds to option H.

Explanation:

The question asks for the converse of a given statement, which is a key concept in logical reasoning and mathematics. The original statement is If you study in front of the television, then you do not score well on exams. To find the converse, you switch the hypothesis and conclusion of the statement. Therefore, the converse is: If you do not score well on exams, then you study in front of the television. This means the correct answer is option H.

If you don't score well on exams, then you study in front of the television.

To find the converse of a conditional statement, we simply switch the hypothesis and the conclusion.

The original statement is: "If you study in front of the television, then you do not score well on exams."

The converse of this statement would be: "If you do not score well on exams, then you study in front of the television."

So, the correct answer is: "If you do not score well on exams, then you study in front of the television."

What two decimals give you a product close to 5.5?

Answers

Product of 4.21 and 1.31 gives 5.5

Product of 3.21 and 1.72 gives 5.5

Solution:

Given that,

We have to find two decimals that gives a product close to 5.5

So, when the two decimals are added, the product must be close to 5.5

Let us consider the following two decimals

4.21 and 1.31

Let us multiply 4.21 and 1.31 and check if their product is close to 5.5

[tex]4.21 \times 1.31 = 5.5151 \approx 5.5[/tex]

Thus, product of 4.21 and 1.31 gives a product close to 5.5

Similarly, consider two decimals 3.21 and 1.72

Let us multiply 3.21 and 1.72 and check if their product is close to 5.5

[tex]3.21 \times 1.72 = 5.5212 \approx 5.5[/tex]

Thus product of 3.21 and 1.72 gives 5.5

During a day on winter the temperature in the morning was -45°f in the afternoon was -44°f and at night time was -25°f . Find the difference in degrees of the night and moring temperatures

Answers

Answer:

Since it was -45°F in the morning and -25°F in the night, you'd find the absolute value of those numbers.

Absolute value(definition)-

The distance from the zero

So the absolute values would be...

-45 to 45

and

-25 to 25

Then you would subtract 25 from 45, which of course, would result with 20.

20 degrees is your answer.

Have a good day~

Quiz
Active
TIME REMA
59:26
Which of the following is most likely missing from your financial plan if you are not prepared for an emergency?
a financing
b. a budget
c. investments
d. savings
Please select the best answer from the choices provided

Answers

Answer:

the answer is savings (d).

Step-by-step explanation:

I had a test and this helped a LOT so now I can help you,

hope it helped.

If you are not prepared for an emergency, the most likely missing element from your financial plan is savings.

What do you mean by financial planning?

Setting and accomplishing financial objectives through the process of developing a plan to control income, spending, and investments is known as financial planning. Financial planning is to assist people and families in achieving independence, stability, and security in their financial lives.

In conclusion, financial planning is a thorough process that includes establishing financial objectives, assessing your present financial condition, creating a budget and savings plan, controlling debt and risk, and routinely reviewing and modifying your plan. Individuals and families may attain financial security and stability by following these steps as they work towards their long-term financial objectives.

Given data ,

Savings are most likely the component of your financial plan that is lacking if you are not ready for an emergency.

Each financial plan must include savings since they provide as a safety net in the event of crises like unanticipated medical costs, auto repairs, or job loss. Lack of funds may compel you to rely on high-interest loans or credit cards, which might result in long-term financial issues.

While having funds to cover unexpected costs should be a key concern, a financial plan should also include a budget, investments, and financing.

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How would you solve ((-x^2)-(12x^3)-8)^2

Answers

Answer:

[tex]\left(\left(-x^2\right)-\left(12x^3\right)-8\right)^2:\quad 144x^6+24x^5+x^4+192x^3+16x^2+64[/tex]

Step-by-step explanation:

Considering the expression

[tex]\left(\left(-x^2\right)-\left(12x^3\right)-8\right)^2[/tex]

Solving the expression

[tex]\left(\left(-x^2\right)-\left(12x^3\right)-8\right)^2[/tex]

[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a[/tex]

[tex]\left(-x^2-12x^3-8\right)^2[/tex]

As

[tex]\left(-x^2-12x^3-8\right)^2=\left(-x^2-12x^3-8\right)\left(-x^2-12x^3-8\right)[/tex]

So

[tex]\left(-12x^3-x^2-8\right)\left(-12x^3-x^2-8\right)[/tex]

[tex]\mathrm{Expand}\:\left(-x^2-12x^3-8\right)\left(-x^2-12x^3-8\right):\quad 24x^5+144x^6+192x^3+x^4+16x^2+64[/tex]

i.e.

[tex]\left(-x^2\right)\left(-x^2\right)+\left(-x^2\right)\left(-12x^3\right)+\left(-x^2\right)\left(-8\right)+\left(-12x^3\right)\left(-x^2\right)+\left(-12x^3\right)\left(-12x^3\right)+\left(-12x^3\right)\left(-8\right)+\left(-8\right)\left(-x^2\right)+\left(-8\right)\left(-12x^3\right)+\left(-8\right)\left(-8\right)[/tex]

[tex]\mathrm{Apply\:minus-plus\:rules}[/tex]

[tex]\left(-a\right)\left(-b\right)=ab[/tex]

[tex]x^2x^2+12x^3x^2+8x^2+12x^3x^2+12\cdot \:12x^3x^3+12\cdot \:8x^3+8x^2+8\cdot \:12x^3+8\cdot \:8[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]12x^3x^2+12x^3x^2+12\cdot \:12x^3x^3+12\cdot \:8x^3+8\cdot \:12x^3+x^2x^2+8x^2+8x^2+8\cdot \:8[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:8x^2+8x^2=16x^2[/tex]

[tex]12x^3x^2+12x^3x^2+12\cdot \:12x^3x^3+12\cdot \:8x^3+8\cdot \:12x^3+x^2x^2+16x^2+8\cdot \:8[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:12x^3x^2+12x^3x^2=24x^3x^2[/tex]

[tex]24x^3x^2+12\cdot \:12x^3x^3+12\cdot \:8x^3+8\cdot \:12x^3+x^2x^2+16x^2+8\cdot \:8[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:12\cdot \:8x^3+8\cdot \:12x^3=2\cdot \:8\cdot \:12x^3[/tex]

[tex]24x^3x^2+12\cdot \:12x^3x^3+2\cdot \:8\cdot \:12x^3+x^2x^2+16x^2+8\cdot \:8[/tex]

As

[tex]24x^3x^2=24x^5[/tex]

[tex]12\cdot \:12x^3x^3=144x^6[/tex]

[tex]2\cdot \:8\cdot \:12x^3=192x^3[/tex]

[tex]x^2x^2=x^4[/tex]

[tex]8\cdot \:8=64[/tex]

So

[tex]24x^5+144x^6+192x^3+x^4+16x^2+64[/tex]

[tex]\mathrm{Rewrite\:in\:standard\:form}[/tex]

[tex]144x^6+24x^5+x^4+192x^3+16x^2+64[/tex]

Therefore,

[tex]\left(\left(-x^2\right)-\left(12x^3\right)-8\right)^2:\quad 144x^6+24x^5+x^4+192x^3+16x^2+64[/tex]

Keywords: expression

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factor 3x^5-7x^4+6x2-14x

Answers

Answer:

x ( 3x − 7 ) ( x ^3 + 2 )

Step-by-step explanation:

What is 5/5 multiplied by nine

Answers

Answer:

9

Step-by-step explanation:

5/5 = 1

1 x 9 = 9

Answer:

9

Step-by-step explanation:

Point D (9, -8) is reflected to D' (9, 8)

Answers

Answer:

Is a reflection across the x-axis

Step-by-step explanation:

The complete question is

Point D (9,-8) is  reflected to D' (9,8). Is it on the x axis or y axis?

we know that

The rule of the reflection of a point across the x-axis is

(x,y)-----> (x,-y)

the x-coordinate remains the same, but the y-coordinate is transformed into its opposite

In this problem we have

D (9, -8) ------> D' (9, 8)

The y-coordinate is transformed into its opposite

therefore

Is a reflection across the x-axis

In a bag there are 2 red, 3 yellow, 4 green, and 6 blue marbles. What is the probability of P (blue)?

Answers

Answer:

6/15

Step-by-step explanation:

First we are going to need to add the total number of marbles.

2+3+4+6=15

So the denominator will be 15.

It asks us to find the probability of blue marbles so we put how many blue marbles there is inside of the bag.

There are  six blue marbles.

So the probability is 6/15.

Or you could write it 6:15

Or percentage but that's no fun..

Final answer:

The probability of drawing a blue marble from a bag containing 2 red, 3 yellow, 4 green, and 6 blue marbles is 2/5, or 40%.

Explanation:

Calculating the Probability of Choosing Blue Marbles

The question asks about the probability of choosing a blue marble from a bag containing various colored marbles. With 2 red, 3 yellow, 4 green, and 6 blue marbles, the total number of marbles in the bag is 2 + 3 + 4 + 6 = 15. To find the probability of choosing a blue marble (P(blue)), we need to divide the number of blue marbles by the total number of marbles in the bag: P(blue) = Number of blue marbles / Total number of marbles = 6/15.

After simplifying, we get P(blue) = 2/5. Therefore, the probability of drawing a blue marble from the bag is 2/5, which can also be expressed as 0.4 or 40%.

A silversmith combined pure silver that cost $33.48 per ounce with 51 oz of a silver alloy that cost $24.35 per ounce. How many ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce?

Answers

Answer:

$38.31

Step-by-step explanation:

Given:

Pure silver that cost $33.48 per ounce used to form $24.35 alloy/ounce.

Question asked:

How many ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce?

Solution:

At cost $24.35/ounce, pure silver is mixed = $33.48

At cost $1/ounce, pure silver is mixed = [tex]\frac{33.48}{24.35}[/tex]

At cost $27.87/ounce, pure silver is mixed = [tex]\frac{33.48}{24.35}[/tex][tex]\times 27.87 = \frac{933.08}{24.35} = 38.31[/tex]

Thus, $38.31 ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce.

If Charles rides 4 miles in 20 minutes on his bike, which ratio shows the number of miles per minute he can ride
A
24:1

B
1:4

C
4:24

D
1:5

Answers

I believe I would be c but I could be wrong

Answer:

D

Step-by-step explanation:

Does anyone know this?

Answers

Answer:

About 51.43 degrees.

Step-by-step explanation:

In order to find the angle measures, you divide 360 by the number of sides your shape has. In this case you divide 360 by 7.

Maria has an 8-sided die that is numbered from 1 to 8. She rolls the die 96 times. About how many times can she expect to roll an 8?

Answers

Answer:

12

Step-by-step explanation:

Final answer:

Maria can expect to roll an 8 around 12 times after rolling her eight-sided die 96 times, as calculated by multiplying the probability of rolling an 8 (⅓) by the number of rolls (96).

Explanation:

The student is asking about the expected number of times a specific outcome will occur when rolling an eight-sided die multiple times. In Maria's case, she is rolling the die 96 times and wants to know how many times she can expect to roll an 8.

To calculate this, we'll use the principle of theoretical probability, which states that the expected frequency for any event is the product of the total number of trials and the probability of the event occurring in a single trial. Since the die is fair and has eight sides, the probability of rolling an 8 on any given throw is ⅓ (or 1 out of 8).

Calculate the probability of rolling an 8: P(8) = ⅓.Multiply this probability by the total number of rolls: Expected frequency = P(8) × 96 throws = ⅓ × 96.Perform the calculation: Expected frequency = 12.

Therefore, Maria can expect to roll an 8 about 12 times in 96 rolls of the die.

What is 17 equals 5y - 3

Answers

Answer:

4

Step-by-step explanation:

5y-3=17

5y=17+3

5y=20

y=20/5

y=4

what does orgin means in math terms

Answers

Answer:

  The point from which measurements are made. The point where all coordinate values are zero.

Step-by-step explanation:

In the Newtonian/Euclidean universe, the laws of geometry and physics are the same everywhere. Hence, in order to tell one place from another, we define a point of origin from which all coordinates are measured. Then, every point in space can be named in terms of its coordinates relative to the origin.

HELP ME ASAP PWEASE
my friend can't figure it out nor can I

Answers

Answer:

The width of the roof is 12

Step-by-step explanation:

Divide the figure as shown in the attachment.

Recall that slope is rise over run.

Then the slope of the roof in terms of x is

[tex] \frac{8}{x} [/tex]

But we were given in the question that the slope is 2/3.

This implies that:

[tex] \frac{8}{x} = \frac{2}{3} [/tex]

Cross multiply to get:

[tex]2x = 3 \times 8[/tex]

[tex]2x = 24[/tex]

[tex]x = 12[/tex]

Graph ​ g(x)=4cos(2x)−2 ​. Use 3.14 for π .

Answers

Answer:

The graph is shown attached.

Step-by-step explanation:

i) The graph is shown attached

ii) The values shown are for the points with black dots.

Do you guys know what y=2x is ?

Answers

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope:  

2

y-intercept:  0 x  y 0 0 1 2

Step-by-step explanation:

The formula to change F to C is F equal 9/5 C + 32. If the temperature is 21.5 C what is it in F?

Answers

Answer:

F=70.7

Step-by-step explanation:

This is a simple substitution problem.

The formula to change Fahrenheit to Celsius is [tex]F=\frac{9}{5}\left(C\right)+32[/tex].They give you C, so substitute it into the problem, which would give you [tex]F=\frac{9}{5}\left(21.5\right)+32[/tex].Simplify the right side of the equation by multiplying [tex]\frac{9}{5}[/tex] by 21.5.Now, add 32 to 38.7, which should have been your answer to the previous step.You should now have F= 70.7 as your answer.

The resulting temperature in Fahrenheit is 70.7°F.

To convert a temperature from Celsius (°C) to Fahrenheit (°F), you can use the formula:

F = (9/5)C + 32

Given that the temperature is 21.5°C, we can substitute this value into the formula:

Multiply the Celsius temperature by 9: 9 * 21.5 = 193.5

Divide the result by 5: 193.5 / 5 = 38.7

Add 32 to the quotient: 38.7 + 32 = 70.7

Therefore, the temperature in Fahrenheit is 70.7°F.

The price of a television was reduced from $250 to $200. By what percentage was the price of the television reduced? (F 20%) (G 25%) (H 80%) (J 50%)

Answers

the answer is (F 20%)
250 • 0.20 = 50
-
250 - 50 = 200
-
Therefore the answer is F. 20%

Which measure is most appropriate to describe the center of the data in the stem-and-leaf plot below?

pounds of food collected

0 l 5 6
1 l 0 2 3 3 4
2 l 1 9
3 l
4 l 2
5 l 1

Answers

The appropriate measure of central tendency for the data in the stem and leaf plot, which is skewed to the right is the median

What is the median of a dataset?; The median of a dataset is the value located at the center of the dataset when the data are arranged in increasing order of magnitude.

The data in the stem and leaf plot can be presented as follows;

5, 6, 10, 12, 13, 13, 14, 21, 29, 42, 51

The number of data points are 11, therefore, the median is the 6th term, which is the number 13

The mode of the data is 13

The mean of the data is; (5+6+10+12+13+13+14+21+29+42+51)/11 ≈ 19.64

The mean is larger than the median, which indicates that the data values are skewed to the right

The appropriate measure of the center of the data whereby some of the values are much larger than the median and a few values, hence the data is skewed is the median

For the stem-and-leaf plot of pounds of food collected, the most appropriate measure of center is the median, providing a robust representation of the central tendency of the data.

In the given stem-and-leaf plot depicting the pounds of food collected, the most appropriate measure to describe the center of the data is the median.

The median is the middle value in a dataset when it is ordered from least to greatest. In this case, the stem-and-leaf plot already presents the data in ascending order within each stem. To find the median, we look for the middle value. Since the data is arranged systematically, we can identify the median as the value that separates the lower half from the upper half of the dataset.

Looking at the stems and their corresponding leaves, the median is the value in the middle of the dataset, which is the 3 in the second stem. The median is less sensitive to extreme values or outliers than the mean, making it a robust measure of central tendency.

In contrast, the mean (average) might be influenced by extreme values, the interquartile range focuses on the spread of the middle 50% of the data, and the range considers the difference between the maximum and minimum values.

The question probable may be:

Which measure is most appropriate to describe the center of the data in the stem-and-leaf plot below?

A stem and leaf plot showing the pounds of food collected is shown.

Stem    Leaf

0           5    6

1            0    2   3   3   4

2            1    9

3

4            2

5            1

interquartile range

median

mean

range

A cargo container 9‘ x 12‘ x 7.5‘ is to be given a coat of paint on all surfaces inside and out. If 1 L of paint covers 30 ft.², how many 3 L tins of paint are required.

Answers

Answer: 18

Step-by-step explanation: 9 x 12 x 7.5 = 810

since it is inside out 810 x 2 = 1620

1620 divided by 90 = 18

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