Five congruent squares are put together without gaps or overlap to form a figure shaped like a plus sign. The
perimeter of the figure is 72 cm. Find the area of the figure, in cm?

Answers

Answer 1

Answer:

180 square centimeters

Step-by-step explanation:

Because the five squares are congruent, the 12 sides of the figure are all equal in length. Then the length of one side is 72/12 = 6 cm. Therefore, the area of each square is 36 sq cm and the area of the figure, 5 x 36, is 180 sq cm.


Related Questions


[tex]y > 3x + 9 y < 3x - 1[/tex]
please help is it infinite number of solutions, or no solution

Answers

Answer:

no solution

Step-by-step explanation:

The price of an item yesterday was $140. Today, the price rose to $238. Find the percentage increase.
%

Answers

Answer:

216$

Step-by-step explanation:

Answer:

41.2%

Step-by-step explanation:

[tex]Percentage\ change = (\frac{Final\ Price\ - Initial\ Price}{Final\ Price})100\\\\Percentage\ change=(\frac{238-140}{238})100\\\\Percentage\ change=(\frac{98}{238})100\\\\Percentage\ change=(0.412)100\\Percentage\ change=41.2\\[/tex]

So the percentage increase was 41.2%

The mean mass of 5 boys is 62 kg. When the mass of a boy is excluded, the mean mass of the remaining 4 boys becomes 64 kg. Find the mass of the boy that has been excluded

Answers

Answer:

54 kg

Step-by-step explanation:

x - regular boy

y - special boy who's weight we're counting

The mean mass of 5 boys:

(4x+y)÷5=62

The mean mass of 4 boys:

4x÷4=64

x=64kg

the mass of y boy:

(4×64+y)÷5=62

(256+y)÷5=62 |×5

256+y=310

y=310-256

y=54

HELP ASAP WILL MAKE BRAINLIST Answer the following questions.
1) Solve. Gravitation acceleration is 32 ft/sec.
Darnell kicked a football from the ground at an angle of 45° from horizontal. The
initial velocity of the football was 120 feet/second. At 2 seconds into the flight, how
high was the ball (y
) and how far downfield was it (c
)?

Answers

Answer:

lol can I get pic of the question

Matt's saving account balance went from $325 at the beginning of the month to $195 at the end of the month. What was the percent of decrease?

Answers

Answer:

60%

Step-by-step explanation:

yes

write in simplest from 4x1/8

Answers

Answer: 0.5

Step-by-step explanation:

4x1/8 is 1/2

1/2= 0.5

Nia put $750 in her savings account the simple interest rate is 3% of the account if nia doesnt withdraw or deposit.how much would nia´s acoount be at in 2.5 years

Answers

Answer:750 divided by 3

Step-by-step explanation:

Describe each step in the process for solving an literal equation.

Answers

Answer: in the image

I believe this is what you are looking for, hope this helps!

this is due today i'm really struggling on school and ill be really happy if someone answers this
please and thank you :')

Answers

Answer:

Hey man, I don't really know how to do these problems following those exact steps, but these are the steps i used to solve it:

Step-by-step explanation:

1: (8 x 3/4) to find price for 1. then multiply by 13 [(8x3/40x13]

2: 6x13

3:$78

What is the best deal ?? Please tell me step by step.

Answers

Answer:

10 cans of Pepsi for $6.30

Answer:

4 cans of Pepsi for 2.40

Kris's bike used up 4.5 gallons of gas to cover a distance of 297 miles.Jack travels 366 miles on a full tank capacity of 6 gallons.Ben's bike consumed 5.2 gallons of gas for a 265.2 miles long drive. Whose bike gave the best mileage

Answers

Answer:

Ben's bike gave the best mileage.

Step-by-step explanation:

Kris's bike mileage = 297 / 4.5

Kris's bike mileage = 66 mile/gallon

Jack's bike mileage = 366 / 6

Jack's bike mileage = 61 mile/gallon

Ben's bike mileage = 265.2 / 5.2

Ben's bike mileage = 51 mile/gallon

Ben's bike gave the best mileage

Ani teaches 25% of the 4 year-olds at her school. There are 60 4-year- olds. Ani also teaches 20 3-year- olds. How many students does Ani teach altogether ?

Answers

Answer:

[tex]35[/tex] students

Step-by-step explanation:

Given information:

- There are 60 4 year-olds, Ani teaches 25% of them.

- Ani also teaches 20 3 year-olds.

Total students:

[tex]25\%\times60 = 15[/tex] 4 year-olds

[tex]15+20 = 35[/tex]

∴ Ani teaches [tex]35[/tex] students in total

Hope this helps :)

Can the side of a triangle have lengths 1,4 and 6 yes or no

Answers

Answer:

no

Step-by-step explanation:

A certain manufacturing plant produces electric fuses of which 20% are defective. Find the probability that in a sample of 8 fuses selected at random there will be atleast one defective and not more than one defective.

Answers

Answer:

0.419

Step-by-step explanation:

To calculate this, we shall make use of Bernoulli approximation of Binomial distribution

if 20% are defective, then 80% are not defective

Probability of selecting a defective fuse is 20/100 = 0.2

Probability of selecting a non defective one is 0.8

Probability of at least 1 being defective is = 1 - Probability of none being defective

Mathematically that will be;

0.8^8 = 0.168

The above is probability of none defective

So the probability of at least one will be

1 - 0.168 = 0.832

Probability of not more than 1 means;

Probability of none + probability of 1 being defective

We already have probability of none above

Probability of 1 being defective means 8 will be non defective

The probability in this case is;

8 C 1 0.2^1 0.8^7

= 8 * 0.2 * 0.8^7 = 0.336

Add this to the probability of none = 0.336 + 0.168 = 0.504

So the probability that we want to calculate from the question will be;

Probability of at least one defective * probability of not more than one defective

= 0.832 * 0.504 = 0.419

Which table does NOT show direct variation?​

Answers

Answer:

Tables 3. The one in the bottom left corner.

Step-by-step explanation:

The values of table C is not in variation.

What is variation?

Two sorts of quantities typically exist in a mathematical equation when a relationship is established for a certain type of parameter. One is a constant that stays the same regardless of how the other variables in the equation vary, and the other is a variable that changes depending on the circumstances. Variation is the term used to describe the changing of variables.

Given tables,

A direct variation is a straightforward relationship between x and y. To find a direct relationship, either use the formula y = kx or divide y over x (y/x).

Relation for table A

y /x =  -3/1 = -3

y /x = -9/3 = -3

y /x = -18/6 = -3

y /x = -36/12 = -3

relation is in variation.

Relation for  table B

y /x =  3/1 = 3

y /x = 9/3 = 3

y /x = 18/6 = 3

y /x = 36/12 = 3

relation is in variation.

Relation for  table C

y /x =  4/1 = 4

y /x =  6/3 = 2

y /x =  9/6 = 3/2

y /x =  15/12 = 5/3

Equation doesn't have a direct relationship between x and y.

Relation for  table D

y /x = 2/1 =2

y /x = 6/3 = 2

y /x = 12/6 = 2

y /x = 24/12 = 2

relation is in variation.

Hence the table C is not in variation.

Learn more about variation;

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can anyone help and explain why this is either proportional or not? urgent!! (it needs an explanation too)

Answers

This is not proportional because it does not go through the origin and if you were to draw a straight line it would not not go through all the points.
Hope this helps :)

2 A large water tank holds 600 gallons of water. It is losing water at the rate shown in
the table.
Hours (x)
0
1
2
3
4
Gallons of Water in Tank (y)
600
540
480
420
360

Answers

Answer:

its losing 60 gallons an hour

Step-by-step explanation:

A school conducts 27 tests in 36 weeks. Assume the school conducts tests at a constant rate. What is the slope of the line that represents the number of tests on the y-axis and the time in weeks on the x-axis?

Answers

Answer:

the slope of the line= 0.75.

its answer is 3.96 in y axis on 76 on X axis

I.Write the algebraic expressions for the following statements:
1. The sum of a and b subtracted from 5.
2. A number added to half of itself.
3. 2 less than 2times of x.
4. Product of numbers m and n added to 7.
5. One-third of the sum p and q subtracted from the product of p and q.
6. A number a multiplied by itself.

Answers

Answer:

1. 5 - (a+b)

2. n + 0.5n = 1.5 n

3. 2x - 2

4. 7 + mn

5. pq - (p+q)/3

6. a*a = a^2

Step-by-step explanation:

Can someone show me the steps to solve this I will give u a Brainly crown (10points)


(Will get reported if you comment something wrong)

Answers

Answer:

Step-by-step explanation:

1/4a + 1/3a + 8 = 22

Collect like terms

1/4a + 1/3a = 22 - 8

Simplify

3a+4a/12 = 14

7/12a = 14

Divide both sides by 7/12

a = 14 ÷ 7/12

= 14 × 12/7

= 168/7

= 24

a = 24

Check:

1/4a + 1/3a + 8 = 22

1/4(24) + 1/3(24) + 8 = 22

24/4 + 24/3 + 8 = 22

6 + 8 + 8 = 22

22 = 22

they keep returning saying show work:/​

Answers

Answer:

64

Step-by-step explanation:

If you do the work:

1) Start with the whole numbers

20 x 3 = 60

2) Move to multiplying fractions

20 x 1/5

2a) To do this, start by turning the whole number into a fraction

20 x 1

1       5

2b) Cross-multply

20 x 1 = 20

1    x 5 = 5

2c) Divide

20/5 = 4

3) Add products

60 + 4 = 64

Last year's cost, c, of a water park season pass increased 35%. The expression C+0.35c can be used to represent the increased price of a season pass. What is another expression that can be used to find the the new cost of a season pass?

Answers

Answer:  1.35c

==========================================

Work Shown:

c+0.35c = 1c+0.35c = (1+0.35)c = 1.35c

We can think of the increase of 35% as equivalent to 135%, since 100% + 35% = 135%, then we can convert 135% to its decimal form getting 1.35

In other words, if you increase the price by 35%, then the new price is 135% of its old one

new price = 135% of old price

new price = 1.35*(old price)

please please please help i can't do this anymore
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:

y < 4x − 2
y is greater than or equal to negative 5 over 2 times x minus 2

Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)

Part B: Is the point (−2, −2) included in the solution area for the system? Justify your answer mathematically. (4 points)

(10 points)
if you abuse the amount of points I put on this question I will report you

Answers

Answer:

Photo.

Step-by-step explanation:

A: The graph of the system is all points in the graph that suit 4x-2<y</=-5/2x-2

B: The point (-2,-2) is not included in the solution area. While it suits the second equation, it doesn't suit the first, ruling it out as a possible solution. If you plug in -2 as both y and x in the equation 4x-2>y, you'll get -8>-2, which is false. So, it is not a solution.

Mr. M has a recipe for sourdough bread. He uses 8/3 cups of flour to make 2 loaves of sourdough bread. If you were to follow the same recipe, which equation would work for making y loaves of bread with x cups of flour?

Answers

Answer:

2y=8/3x

Step-by-step explanation:

It’s asking : the table shows the relationship between the cost of an item and the length of time in months it lasts . What graph represents the data in the table?

1. F
2. H
3. I
4. G

Answers

Answer:

F

Step-by-step explanation:

I think

Answer:

F

Step-by-step explanation:

Find the number that completes the following problem. 2
x8
192

Answers

Answer:

the second one X=3

the third X=4

Answer:

24 x 8 = 192

(3+5) + 2 = 2(3+2)

3^4 ( 3 with the exponent of 4

Step-by-step explanation:

192 divided by 8 is 24.

3 + 5 + 2 is 10 so just have to put 3 in the box so that equals 10

there is 4 threes so it’s 3 with the exponent of 4

find the product of (-2xy) (3y) (-7x)​

Answers

Multiply the numbers:

-2 x 3 x -7 = 42

The the letters x time x = x^2

Y x y = y^2

Now combine for final answer:

42x^2y^2

PLEASE I NEED HELP I WILL GIVE BRAINLIEST
Daria wants to open a retail T-shirt business. She has determined that her start up cost will be $235,000. This amount includes $39,500 for the first year’s rent on the store, $22,750 for the equipment, $41,800 for the initial inventory, $18,500 for insurance, and $28,950 for heating and electricity. The rest of the cost would be for employee salaries. Write an equation that would allow you to calculate the cost of employees’ salaries (x), then solve the equation for x.

Answers

the answer is 901 because if you do boa usenduxneje

What is the value of x?
(5y + 10)
(3x + 7)º

Answers

Answer:

x = 21

Step-by-step explanation:

[tex](5 y + 10) \degree = y \degree + 90 \degree \\ (vertical \: \angle s) \\ \\ (5 y + 10 - y) \degree = 90 \degree \\ \\ (4 y + 10 ) \degree = 90 \degree \\ \\ 4y + 10 = 90 \\ \\ 4y = 90 - 10 \\ \\ 4y = 80 \\ \\ y = \frac{80}{4} \\ \\ y = 20 \\ \\ (5 y + 10) \degree = (5 \times 20 + 10) \degree = 110 \degree \\ \\ (5 y + 10) \degree + (3x + 7) \degree = 180 \degree \\ (linear \: pair \: \angle s) \\ \\ 110 \degree + (3x + 7) \degree = 180 \degree \\ \\ (3x + 7) \degree = 180 \degree - 110 \degree\\ \\ (3x + 7) \degree = 70 \degree \\ \\ 3x + 7 = 70 \\ \\ 3x = 70 - 7 \\ \\ 3x = 63 \\ \\ x = \frac{63}{3} \\ \\ x = 21[/tex]

The value of x and y are 21 and 20 degrees respectively.

What is linear pair?

Linear pairs of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.

WE are given two adjacent angle (5y + 10) and (3x + 7)º

These angles make a linear pair so,

(5y + 10) + (3x + 7)º = 180

Also, we can see that angle Y and  (3x + 7)º lies on a straight line then;

y +  (3x + 7)º + 90 = 180

(3x + 7)º = 180 - 90 - y

(3x + 7)º = 90 -y

Now replace  (3x + 7)º by 90 - y in the first equation.

(5y + 10) + (3x + 7)º = 180

(5y + 10) + (90 - y )º = 180

Finally, simplify;

4y + 100 = 180

4y = 80

y = 20

Now, (3x + 7)º = 90 -y =90 - 20

(3x + 7)º =  70

3x = 70 - 7

3x = 63

x = 21

Hence, the value of x and y are 21 and 20 degrees respectively.

Learn more about angles;

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What is the m=
And what is the equation
Please help me asap its almost due

Answers

Answer:

m = 1[tex]\frac{1}{7}[/tex], y = 1[tex]\frac{1}{7}[/tex]x + 10

Step-by-step explanation:

The equation of a line is y = mx + c where m is the slope and c is the y-intercept. I will be calculating the slope using the points (7, 2) and (0, 10)

m = [tex]\frac{rise}{run}[/tex]

   = [tex]\frac{2-10}{7-0}[/tex]

   = [tex]\frac{8}{7}[/tex]

   = 1[tex]\frac{1}{7}[/tex]

Based on the graph, the y-intercept is 10. Thus, the equation of the line is 1[tex]\frac{1}{7}[/tex]x + 10.

The solution is in the picture. I hope you will understand
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