the following shape is made by cutting an equilateral triangle from rectangle find its perimeter

Answer:

The mean of the remaining 3 boys is 51.

Step-by-step explanation:

The mean mark of the entire group ([tex]p_{10}[/tex]), dimensionless, is:

[tex]p_{10} = \frac{1}{10}\cdot \Sigma_{i = 1}^{10} x_{i}[/tex] (Eq. 1)

([tex]p_{10} = 58[/tex])

[tex]\frac{1}{10}\cdot \Sigma_{i=1}^{10} x_{i} = 58[/tex] (Eq. 1b)

Where [tex]x_{i}[/tex] is the mark of the i-th boy, dimensionless.

In addition, we know the following mean marks from statement:

[tex]p_{7} = \frac{1}{7} \cdot \Sigma_{i = 1}^{7} x_{i}[/tex] (Eq. 2)

([tex]p_{7} = 61[/tex])

[tex]\frac{1}{7}\cdot \Sigma_{i=1}^{7} x_{i} = 61[/tex] (Eq. 2b)

[tex]p_{3} = \frac{1}{3}\cdot \Sigma_{i=8}^{10}x_{i}[/tex] (Eq. 3)

Where:

[tex]p_{7}[/tex] - Mean mark of the first 7 boys, dimensionless.

[tex]p_{3}[/tex] - Mean mark of the remaining 3 boys, dimensionless.

By applying sum properties in (Eq. 1b) and using (Eq. 2b) and (Eq. 3), we obtain the mean of the remaining 3 boys:

[tex]\frac{1}{10}\cdot [\Sigma_{i = 1}^{7}x_{i}+\Sigma_{i=8}^{10}x_{i}] = 58[/tex]

[tex]\frac{1}{10}\cdot [7\cdot (61)+3\cdot p_{3}] = 58[/tex]

[tex]7\cdot (61) + 3\cdot p_{3} = 580[/tex]

[tex]3\cdot p_{3} = 153[/tex]

[tex]p_{3} = \frac{153}{3}[/tex]

[tex]p_{3} = 51[/tex]

The mean of the remaining 3 boys is 51.

Answer:

y = 5

Step-by-step explanation:

Answer:

Y=3

Step-by-step explanation:

You would want to multiply y and 4 by 3.

5y+6=3(y+4)

×3 ×3

5y+6=3y+12

Now you want to have y by itself. You can first subtract 6 for starters.

5y+6=3y+12

-6 -6

5y=3y+6

5y=3y+6

-3y -3y

2y=6

Now you would want to divide.

2y=6

÷2 ÷2

y=3

You're answer would be y=3.

Answer:if your meaning 5:2 the answer would be 35:14

Step-by-step explanation:

You simply would have the find the equal to it so by multiplying both by 7 would make it equal. 7 × 5 is 35 and 7 × 2 is 14

Answer:

equation: (12x+19) + (22x-9) = 180

x= 5

Step-by-step explanation:

the equation was made by the fact that the angles would add up to equal 180 degrees since the line made by them is straight

(12x+19) + (22x-9) = 180 is the same as 12x + 19 + 22x - 9 = 180

add like terms: 34x + 10 = 180

subtract 10 from both sides: 34x = 170

divide both sides by 34 to find x: x = 5

Answer:

Step-by-step explanation:

its a supplementary angles:

meaning two angles adds up to 180

therefore,

12x+19+22x-9=180

-------------------------------

to find the value of x:

12x+19+22x-9=180

12x + 22x = 180 - 19 + 9

34x = 170

x = 170 / 34

x = 5

Answer:

1/5

Step-by-step explanation:

We need to find the fraction of the show will be for the audience to speak. Here, the part of the audience is 20%.

We know that, percent means we need to divide the value by 100 i.e.

[tex]20\%=\dfrac{20}{100}\\\\=\dfrac{2}{10}\\\\=\dfrac{1}{5}[/tex]

So, the required fraction is 1/5.

Answer:

(-8,5)

Step-by-step explanation:

its what comes in between the two

Answer:

Greater

Step-by-step explanation:

.4*1.8 is .72

.72 is greater than .4

This question is incomplete

Complete Question

The lions and the tigers played a football game. The Lions scored three more than three times the number of points the Tigers scored. The total number of points scored by both teams is 31. How many points were scored by each team?

Answer:

The number of points scored by the Lions = 24

The number of points scored by the Tigers = 7

Step-by-step explanation:

Let the number of points scored by the lion = l

The number of points scored by the tiger = t

The Lions scored three more than three times the number of points the Tigers scored.

l = 3 + 3(t)

The total number of points scored by both teams is 31.

= l + t = 31

3 + 3t + t = 31

4t = 31 - 3

4t = 28

t = 28/4

t = 7 points

Note:

l + t = 31

I = 31 - t

l = 31 - 7

l = 24 points

The number of points scored by the Lions = 24

The number of points scored by the Tigers = 7

Answer:

7/2

Step-by-step explanation:

---------------------------------------------------------

3.5

---------------------------------------------------------

Answer:

y=7

Step-by-step explanation:

Distribute: 9y-4y-4=31

Add like terms: 5y-4=31

Isolate: 5y=35

Divide each side by 5: y=7

ANSWER: y=7

Hope this helps

Answer: 6.75

Step-by-step explanation:

1/2 gallons = 0.75 grams

1 gallons = 1.5 grams

2 gallons = 3 grams

4 gallons = 6 grams

6 + 0.75 = 6.75

I hope this helped!

Answer: $20,700

Step-by-step explanation:

Given that :

List price of car = $24,000

Dealer's cost = 85% of the list price of the car

Dealer acceptance cost = $300 over the cost

Hence, total amount to be paid :

Dealer's cost + dealer's acceptance cost

Dealer's cost = (0.85 * $24,000) = $21,400

Hence, Total cost :

$20,400 + $300 = $20,700

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Answer:

R is D

Step-by-step explanation:

Mathematical Expression:

R=D divided by T

For Y=R substitute R with RT:

R=D

The two pairs ∠AEG and ∠CEG, ∠AEF and ∠FED are complementary angles. Therefore, option B is the correct answer.

From the given figure we need to identify the complementary angles.

In geometry, complementary angles are defined as two angles whose sum is 90 degrees.

By complementary angles concept:

From the figure, ∠AEG+∠CEG=90°

∠AEF+∠FED=90°

The two pairs ∠AEG and ∠CEG, ∠AEF and ∠FED are complementary angles. Therefore, option B is the correct answer.

To learn more about the complementary angles visit:

https://brainly.com/question/15592900.

#SPJ5

Answer:

Selling price= $13

Step-by-step explanation:

Giving the following information:

The cost of your product is $10, and you are planning a 30% mark-up.

The price of the product is calculated by adding to the manufacturing costs a predetermined percentage.

Selling price= 10*1.3

Selling price= $13

Based on the cost of the product and the mark-up, the price of the product will be $13.

This can be fund using the formula:

= Cost of product x ( 1 + markup percentage)

Solving gives:

= 10 x ( 1 + 30%)

= 10 x 1.3

= $13

In conclusion, the product would be $13.

Find out more on cost based pricing at https://brainly.com/question/4144684.

Answer:

alternate interior angles

Step-by-step explanation:

I know for sure that this is one of the answers to your question sorry i didnt get to help more

Answer:

alternate interior angles

Step-by-step explanation:

                                                  [tex]\huge\boxed{125.}[/tex]

[tex]\boxed{-------------------------------------}[/tex]

Explanation...

So, 25 legislators represents 500,000 people.

We are trying to find how much legislators you need to represent 2,500,000.

500,000*5=2,500,000.

25*5=125.

Therefore, your answer is 125.

[tex]\boxed{-------------------------------------}[/tex]

Hope i helped!

[tex]\huge\boxed{Thanks,Plip.}[/tex]

Answer: 125

In Kennington, 25 legislators represent 500,000 people.

Find how many times 500,000 go into 2,500,000 people.

2,500,000 ÷ 500,000 = 5

Now, multiply 5 by 25, because each 500,000 people are represented by 25 legislators.

25 x 5 = 125.

Answer = 125.

Hope this helps you!

Answer: 112 people.

Step-by-step explanation:

Answer:

You would need 112.5 people to eat all the stacks of pancakes.

Step-by-step explanation:

45 times 5 = 225

and then 225 divided by 2 is 112.5

Hope this helps!

Good question lol

Answer:

According to the question 25% of the students wore jackets.

Thus 25% of 12 wore jackets

The number of students can be found easily by multipling 12 with 25//100

12*25/100

12*1/4

12/4

thus, 3 students

Therefore, option 3 is correct

Answer: y=3

Step-by-step explanation:

Since the quadrilateral has 90 degree angles, it must be a a square or a rectangle. This means the measure of sides left and right are the same and the measure of sides top and bottom are the same.

To get the measure of y, you can use left and right or top nd bottom.

I'll use left and right. 10=2y+4 => 10-4=2y => 6=2y => y=3

You can check it by substituting. 2(3)+4=10      The answer is the measure of the right side, which is the same as the measure of the left side.

I hope this helps you!

Answer:

3

Step-by-step explanation:

Answer:

8 - 2i

Step-by-step explanation:

Just add the real parts together and then add the imaginary parts together

5 + 3 = 8

-4i + 2i = -2i

8 - 2i

Answer:

8-2i

Step-by-step explanation:

The anwer is B, f(x)=9500-750x

Hope this helps, brianliest if you can!

Answer:

Step-by-step explanation:

CACA POOP

Answer:

464

Step-by-step explanation:

hwe

Answer:

jdfjafdsds

Step-by-step explanation:

Answer:

geothermal

Step-by-step explanation:

energy obtained from heat within the earth-geothermal