Mathematics Middle School

Ivan bought a rectangular piece of land. This diagram shows how he plans to use the land. Ivan will buy grass to cover the backyard. Based on the plan, how many square meters of grass will Ivan need?

Part A. What is the area of the patio?

Part B. What is the area of the house?

Part C. Based on the plan how many square meters of grass will Ivan need for the backyard?

Answers

Answer 1

a: 42
b: 63
c: 420
hope it helps

Answer 2

Answer:

Part A: The area of the patio is 42 meters.

Part B: The area of the house is 63 meters.

Part C: Ivan will need 420 meters of grass to cover his backyard!

Step-by-step explanation:

Part A: To figure out part A. Multiply the numbers that line up, in this case. It's 7x6 which is 42.

Part B: The numbers that line up for the house are 15 and 7. BUT Part of the 15 belongs to the patio. The patio's length is 6, so subtract 6 from 15. That equals 9. So, 9 x 7 is 63. The house is 63 meters.

Part C. To figure out how much grass he needs, you need to know how big his backyard is. The two numbers that line up is 35 and 15. BUT, part of 35 is the width of the house and the patio. So, subtract the length of them, in this case, it's 7. 35 - 7 is 28. Now, you multiply 28 by 15 which is 420 meters!

Hope this helped!

-Erin

Related Questions

Before you multiply or divide a fraction by a mixed number, you have to make sure they are both in the same___________?

Answers

Answer:

Step-by-step explanation:

form. Meaning you need make both fractions improper

Make sure each number is turned improper.

what is 3/4 times (4,4) also what is 3/4 times (8,4)

Answers

Answer:

1. (3,3)

2. (6,3)

Step-by-step explanation:

1. $\frac{3}{4}$ × (4,4)

step 1. divide by the denominator

4 ÷ 4 = 1

step 2. multiply by the numerator

1 × 3 = 3

2. $\frac{3}{4}$ × (8,4)

step 1. divide by the denominator

8 ÷ 4 = 2

step 2. multiply by the numerator

2 × 3 = 6

Hope this helps! ( * ＾▽＾)／

1) 12/16 or 3/4 simplified

Explanation—3x4 is 12 4x4 is 16 (12/16) to simplify 12 and 16 can both be divided by 4 so (3/4)

2) 24/16 or 1 1/2 simplified

Explanation— 3x8=24 4x4=16 (24/16)
These numbers can both be divided by 4 so 6/4 then create a mixed number to get 4 1/2 or 4.5!

i need helps with this (click the picture to see it clearer

Answers

Step-by-step explanation:

any picture I am not seeing nothing

The LCM's are 12, 20, 21, 24, 12

Rule for subtracting Integers: Keep, Change, Opposite.
Show the changes for subtracting integers:

1. 3 - 7
2. -4 -2
3. -4 - (-6)
4. x - 3x
5. 3 - 4x
6. -3 - (-2x)

Answers

Answer:

-4 -6 2 -2x 3-4x 2x-3

Step-by-step explanation:

3 - 7= -4 (7 is larger so we get - sign)

-4-2=-6(we add "-" terms but they have the - sign)

-4-(-6)=-4+6=2(- multiplied by - =+ meaning - - = +)

x-3x=-2x(3x is larger)

3-4x=3-4x(Unlike Terms)

-3 - (-2x)=-3+2x=2x-3(Unlike terms, so we only simplify the signs)

-4, -6, 2, -2x,

that’s all i know sorry

Which expression best defines a rational number?

A. has a decimal form that can be rounded
B. has a decimal form that cannot be rounded
C. has a decimal form that is terminating or repeating
D. has a decimal form that is nonterminating and nonrepeating

Answers

A for sure because it can be

Rational numbers are terminating or repeating numbers. Therefore, option C is the correct answer.

We need to check from the options which expression best defines a rational number.

What are rational numbers?

Rational numbers: Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).

Rational numbers can be easily identified with the help of the following characteristics.

All integers, whole numbers, natural numbers, and fractions with integers are rational numbers.If the decimal form of the number is terminating or recurring as in the case of 5.6 or 2.141414, we know that they are rational numbers.In case, the decimals seem to be never-ending or non-recurring, then these are called irrational numbers.

So, from the definition, we understood that rational numbers are terminating or repeating numbers.

Therefore, option C is the correct answer.

To learn more about rational numbers visit:

https://brainly.com/question/17450097.

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What is the least common denominator for 14/9

Answers

the least common denominator would be 126

The least common denominator for 14/9 is 126

Find the area of the following figure.

Answers

Answer:

The area is

A = 201.6 or with units we have A = 201.6 cm^2

Step-by-step explanation:

We find the area of the triangle and the rectangle separately, and then add the areas to get the total area

Area of Rectangle = R = (base)(height)

R = (12)(15)

R = 180

R = 180 cm^2

Area of Triangle = T = 1/2(base)(height)

T = (1/2)(12)(3.6)

T = 21.6

T = 21.6 cm^2

Total Area = A = Area of Rectangle + Area of Triangle

A = R + T = 180 + 21.6

A = 201.6

A = 201.6 cm^2

Answer:

The answer is 648.

Step-by-step explanation:

I hope this helps you and that you get 100% ;D

Use complete sentences to describe why Set A = {x|x is an even whole number between 0 and 2} = ∅.

giving brainliest to the one who answers the best

Answers

Answer:

*1 month later*

Step-by-step explanation:

you currently have 225$ in your bank account you make withdrawals of 445$ and 30$ and then deposit 90$ what is the balance of the account now? Please thank you so much

Answers

Answer: -$160

Step-by-step explanation:

Start with $225

withdrawal means subtract $445

225-445 = - 220

you are now in negatives because you took more than you had

you take out another $30

-220 - 30 = -250 you are even more negative because you took out more

but you deposit, put back $90, means add

-250 +90 = -160 you are still negative because you didn't put back enough

-$160

Answer: -160$
Steps:
225-445=-220
-220-30=-250
-250+90=-160

I WILL GIVE BRAINLIEST
PLEASE ANSWER

Answers

> and>

Step-by-step explanation:

Answer:

< for the first

> for the second

Step-by-step explanation:

2 5/7 * 3/5 = 1 22/35

1 22/35 < 2 5/7

1 22/35 > 3/5

Rewrite each equation without absolute value for the given conditions: $y=|x-5|+|x+5|$ if x<-5

Answers

Answer:

y = 10, if x < -5

Step-by-step explanation:

Rewrite each equation without absolute value for the given conditions: [tex]y=|x-5|+|x+5|[/tex] if x<-5

Tanisha has 54 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth side of the enclosure would be the river.) The area of the land is 280 square meters. List each set of possible dimensions (length and width) of the field.

Possible dimensions #1: _ meters by _ meters.
Possible dimensions #2: _ meters by _ meters.

Answers

Possible dimensions of the field are; 13.5 m by 20.74 m or 20.74 m by 13.5 m

How to maximize area?

Since it is a rectangular plot, let the opposite sides be x meter

Thus, the third side = (54 – 2x) m

Area (A) is given by;

A = (54 – 2x)x

A = 54x - 2x²

We will differentiate to get;

dA/dX = 54 - 4x

For a maximum Area we will differentiate and equate to zero i.e. dA/dx = 0. Thus;

54 – 4x = 0

x = 54/4

x = 13.5 m

Area is 280 m². Thus, the other possible dimension is;

w = 280/13.5

w = 20.74 m

Read more about Maximizing Area at; https://brainly.com/question/19819849

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Answer

Step-by-step Possible dimensions of the field are; 13.5 m by 20.74 m or 20.74 m by 13.5 mHow to maximize area?Since it is a rectangular plot, let the opposite sides be x meterThus, the third side = (54 – 2x) mArea (A) is given by;A = (54 – 2x)xA = 54x - 2x²We will differentiate to get;dA/dX = 54 - 4xFor a maximum Area we will differentiate and equate to zero i.e. dA/dx = 0. Thus;54 – 4x = 0 x = 54/4x = 13.5 mArea is 280 m². Thus, the other possible dimension is;w = 280/13.5w = 20.74 mPossible dimensions of the field are; 13.5 m by 20.74 m or 20.74 m by 13.5 mHow to maximize area?Since it is a rectangular plot, let the opposite sides be x meterThus, the third side = (54 – 2x) mArea (A) is given by;A = (54 – 2x)xA = 54x - 2x²We will differentiate to get;dA/dX = 54 - 4xFor a maximum Area we will differentiate and equate to zero i.e. dA/dx = 0. Thus;54 – 4x = 0 x = 54/4x = 13.5 mArea is 280 m². Thus, the other possible dimension is;w = 280/13.5w = 20.74 m

Will give brainlist if you answer these right ASAP PLZ

Answers

Answer:

i cant see the link try reposting

Step-by-step explanation:

What is the solution to this equation?

−1/5(x+1 3/4)=−2 1/
2

Responses

x=21 1/4
x equals 21 and 1 over 4

x=14 1/4
x equals 14 and 1 over 4

x=10 3/4
x equals 10 and 3 over 4

x=3 3/4

I WILL GIVE BRAINLYEST

Answers

Answer:

10 3/4

Step-by-step explanation:

$x + \frac{7}{4} = - \frac{5}{2} \times - \frac{5}{1} \\ x = \frac{25}{2} - \frac{7}{4} \\ x = \frac{43}{4} \\ x = 10 + \frac{3}{4} $

Help I need to turn this in 15mins

Answers

9 = 4
18 = 8
27 = 12
36 = 16
45 = 20

A packet of Little Bites dog treats costs $9.20. How much would it cost if you bought 17 packets?

Answers

Answer: $156.40

Step-by-step explanation: 9.20 x 17 = 156.40

Answer:

$156.40

Step-by-step explanation:

1 of them costs $9.20 so to find 17 you need to multiply $9.20 by 17 = $156.40

Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared deals from Speedy Clean Carwash and Sudsy Bubbles Carwash to decide which membership to get. Robin arranged the information in the tables below.
How many times will Robin need to wash her car to spend the same amount at both carwashes?
P.S.: I attached the table below:)

Answers

Robin will need to wash her car 4 times to have spent the same amount at both car washes. I hope this helps!

It will be 35 dollars

Pls help! Will give brainliest!!

Answers

Considering area (A) of garden as 30 square feet:

30 = x(2x+7)

Now we need to expand it:

x(2x+7) = 2x^2 + 7x

2x^2 + 7x = 30

Adding this into an Algebra calculator gives us 5/2 or 2.5

So x = 2.5

To prove this:

2(2.5) + 7 = 12

14 * 2.5 = 30

Since the area is equal to length times width, and you know your area has to be 30, you can plug in your values like this:

(2x+7) x = 30

you can distribute to make this easier

2x^2 + 7x = 30

you can plug this into quadratic formula by setting the equation =0, so:

2x^2 +7x -30 = 0

where 2x^2 = a
7x = b
and -30 = c

you can plug this into your calculator and get an answer of

X = 2.5

Probability Task - Marbles

A jar contains five red marbles and three green marbles. A marble is drawn at random and not replaced. A second marble is then drawn from the jar.

1. Find the probability that the first marble is red and the second marble is green. Show your work.

2. Find the probability that both marbles are red. Show your work.

3. Find the probability that both marbles are green. Show your work.

Answers

Answer:

I don't know soorry. lalalala

The scatter plot shows the number of pumpkins that have been picked on the farm during the month of October:

A scatter plot with points showing an upward trend with points that are moderately spread out from a line of best fit. The y axis is labeled Number of Pumpkins and the x axis is labeled Days in October

Part A: Using computer software, a correlation coefficient of r = 0.51 was calculated. Based on the scatter plot, is that an accurate value for this data? Why or why not? (5 points)

Part B: Instead of comparing the number of pumpkins picked and the day in October, write a scenario that would be a causal relationship for pumpkins picked on the farm. (5 points)

Answers

Part A: The correlation coefficient of r = 0.51 is accurate based on the scatter plot given.

Part B: A scenario that would be a causal relationship can be quantity of fertilizer used vs kg of pumpkins picked on the farm.

What is a Scatter Plot?

The association between two variables that are correlated can be shown by a scatter plot which has a trendline along which the data points are located.

If the trendline slopes upwards from the left to the right, it shows a positive correlation and vice versa.

Also, if the farther the data points are to each other along the trendline, the farther is it the correlation coefficient, r, is from 1 or -1. If they are moderately apart,, the correlation coefficient would be somewhere around 0.5/-0.5 and 0.65/-0.65, as the case may be.

Part A:

The correlation coefficient of r = 0.51 is accurate based on the scatter plot given.

Part B:

A scenario that would be a causal relationship can be quantity of fertilizer used vs kg of pumpkins picked on the farm.

Learn more about scatter plot on:

https://brainly.com/question/6592115

The scatter plot shows the number of pumpkins that have been picked on the farm during the month of October:A

Lake Profondo has a depth of 84 feet. Lake Segundo is 5/6 as deep. What is the elevation at the bottom of Lake Segundo? (Remember, the elevation is below sea level. Account for this in your answer.)(1 point)

Answers

5/6 = 0.833333
84 * 0.833333 = 70

Elevation is -70 feet

What the person said above me

YOU WILL GET BRAINLIEST!!!!!
WHAT IS (4X)3?
WHAT IS THE ANSWER!!!!!

Answers

Answer:

64x^3

Step-by-step explanation:

i guess u just multiply it

Gina says that she can find the length of the diagonal, c, of the rectangular prism by using the Pythagorean theorem twice.

Drag equations and pictures into the table below to show her work.

Answers

Answer:

$\sqrt{149\\ \\$

However, that's the length of "c" and you're looking to drag it in. So,o you drag in 10^2+7^2=a^2.

Then, as shown by the first picture attatched, you can drag in the one with "c" and "a" with the five shown.

Step-by-step explanation:

To find "c" the diagonal, as explained, you need to use the theorem twice. You can first use it by finding "a", as you already have "b". To find a, you do 10^2+7^2=a^2, the hypotenuse.

100+49=149.

So, a is root 149.

a^2+b^2=c^2 so

149+25=174

a) The length of a, a² = 10² + 7²

b) The fourth Figure will be Drag in Last column.

What is Pythagoras Theorem?

The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

Given:

As From the Figure, a² = 10² + 7²

a² = 100 + 49

a² = 149

a= √149

To find c the diagonal,

a² = 10²+ 7²

a² = 149

a = √149

Now, a²+b²=c²

The fourth Figure will be Drag in Last column.

Learn more about Pythagoras theorem here:

https://brainly.com/question/15421419

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A label is placed around a soup can during manufacturing. If the label is represented by the rectangle in the figure, how many square inches is the label? Answer in terms of π.

image of a net drawing of a cylinder is shown as two circles each with a radius labeled 4 inches and a rectangle with a height labeled 7.8 inches

94.4π square inches
32π square inches
30.1π square inches
62.4π square inche

Answers

Answer:D 62.4TT square inches

Step-by-step explanation:

The temperature at a mountain base camp was −3 degrees Celsius on Monday. Tuesday morning, the temperature was 2 degrees Celsius lower than what it was on Monday. By Tuesday evening, the temperature was 4 degrees Celsius lower than what it was that morning. What was the temperature at the base camp Tuesday evening?
−9 degrees Celsius
−6 degrees Celsius
−5 degrees Celsius
−1 degree Celsius

Answers

Answer: -9 degrees Celsius

Step-by-step explanation: You subtract two degrees from -3 and get -5 (-3-2=-5). Then, you subtract 4 degrees from -5 and get the answer of -9 degrees Celsius.

The temperature on Monday was -3 degrees Celsius. Tuesday it was 2 degrees lower meaning it was
-5 degrees Celsius. On Tuesday evening the temperature was 4 degrees Celsius lower than it was in the morning meaning it was -9 degrees Celsius on Tuesday evening.

Which graph shows only a direct variation between X and y?

Answers

Answer:

Step-by-step explanation:

Direct variation graphs always intersect the origin. Therefore, graph A is accurate.

Robert's school is due west of his house and due south of his friend Layla's house. The distance between the school and Layla's house is 3 kilometers and the straight-line distance between Robert's house and Layla's house is 5 kilometers. How far is Robert's house from school?

Answers

Answer:

The school is 3 km west of Robert's house.

Hope this helps.

Which equation correctly applies the distributive property?

I think the answer is D but I'm not sure. Thanks for helping

Answers

Answer:

Yes you are correct, the answer is D

Step-by-step explanation:

the answer is still 420 regardless if you do :

$42*(3.5+1.3+5.2)\\$

$(42* 3.5)+(42* 1.3)+(42 *5.2)$

wait its actually D good job

please help asap ill give brainliest
Find the surface area of a square pyramid with side length 1 mi and slant height 4 mi.

Answers

The formula is 1/2 x P x L + B
P=perimeter
L=Side length
B= Slanted Base length

ANSWER= 8 mi

Matthew deposited $900 into a certificate of deposit with a rate of 1.5% for 1 year. How much money did he have in the account after 6 months?

Answers

Answer:

$13.50

Step-by-step explanation:

I used a cualculater plz mark brainliest.

13.50 is the cool answer your welcome please mark me as branlilest

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