Arrange the numbers 2,3,4,5,6,7,8,9 and 10 in the accompanying triangle so that each side sums to 21 show your answer and please help

Arrange The Numbers 2,3,4,5,6,7,8,9 And 10 In The Accompanying Triangle So That Each Side Sums To 21

Answers

Answer 1

All three sides will be equal to 21.

So that is

3 + 7 + 9 + 2 = 21,

3 + 8 + 6 + 4 = 21 and

2 + 10 + 5 + 4 = 21

What are Arithmetic operations?

Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.

The operator that performs the arithmetic operations are called arithmetic operators.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

Given

Put the Number from 2 to 10 in the circle so that the sum of the Number on each side of a triangle is the same.

        3

    7      8

  9           6

2   10     5    4

So the numbers form a triangle and assume that a circle is drawn on the numbers.

If we add the numbers all the three sides will be equal to 21.

So that is

3 + 7 + 9 + 2 = 21,

3 + 8 + 6 + 4 = 21 and

2 + 10 + 5 + 4 = 21

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Related Questions

Your class has 28 students. If 25% of them play soccer, how many students play soccer?

Answers

7 of them played soccer, I hope this was helpful

Answer:

7 students

Step-by-step explanation:

I multiplied .25 by 28

.25=25%

of = multiply

What is m ABC?
m ABC = 15°
m ABC = 45°
m ABC = 60°
m ABC = 75°

Answers

Answer:

75

Step-by-step explanation:

mr. Jones waffle recipe uses 3/4 a cup of milk to make 8 waffles how many cups of milk should be used to make 24 waffles​

Answers

Answer:

2 whole cups and 1 4th of a cup

Step-by-step explanation:

Algebraic fractions cannot be reduced.
True
False

Answers

Final answer:

Algebraic fractions can be reduced by finding the greatest common factor (GCF) and simplifying the fraction to its lowest terms.

Explanation:

False. Algebraic fractions can be reduced. To reduce an algebraic fraction, you need to find the greatest common factor (GCF) of the numerator and denominator, and then divide both the numerator and denominator by the GCF. This simplifies the fraction to its lowest terms. For example, if you have the fraction (2x + 4)/(6x + 12), the GCF of the numerator and denominator is 2, so you can simplify the fraction to (x + 2)/(3x + 6).

what is 2+354 i cant seem to figure it out but i know that yall can help

Answers

2+354=356 It’s easy to do
354
+ 2
_____
356
just add the 4 + 2 to equal 6
hope this helps!:)

Find the volume of the cone

Answers

Answer:

37.68

Step-by-step explanation:

The formula to be used is 1\3πr^2h

so going by the question π=3.14,r=2,h= 9

when u substitute each value into the formula u get you answer to be 37.68

Answer:

37.87 yea that's the answer my huysterrrebj

What is the value of the expression 2 + 32 ⋅ (3 − 1)? 20 22 23 32 HELP

Answers

Answer:

66

Step-by-step explanation:

Parentheses first 3-1 = 2

2*32=64

64+2=66

A family of 20 purchased tickets to the county fair. Tickets for adults cost $8 while tickets for children cost $4. If the total cost of tickets were $100, how many family members were adults and children? Explain how you solved the problem

Answers

Answer:

There are 5 adults and 15 children in the family.

Step-by-step explanation:

Given

Number of people in the family = 20

Cost of adults tickets = $8

Cost of children tickets = $4

Total ticket sold = $100

Required

How many adults and children are in the family.

Let C represent children and A represent adults.

If there are 20 members of the family, then.

A + C = 20

Also, if adult tickets is sold for $8 and children tickets is sold for $4 and the total cost of tickets were $100, then we have

8A + 4C = 100.

Now, we have two equations to be solved simultaneously.

A + C = 20 --- (1)

8A + 4C = 100 ---- (2)

Make C the subject of formula in (1)

C = 20 - A.

Substituton 20 - A for C in (2)

8A + 4(20 - A) = 100

8A + 80 - 4A = 100

Collect like terms

8A - 4A = 100 - 80

4A = 20

Multiply both sides by ¼

¼ * 4A = ¼ * 20

A = 5

Recall that C = 20 - A

So,

C ,= 20 - 5

C = 15.

Hence, there are 5 adults and 15 children in the family.

The Question was solved by getting an expression to represent the amount of tickets that were sold and another expression for the total number of people in the family.

The two expressions gave us a simultaneous equation and the equations were solved simultaneously.

Factor the following polynomial completely.
-x2 y2 + x4 + 4y 2 - 4x2

Answers

Step by step he sir

Ik it’s a lil much but I need answer plz

Answers

-p(4p^2+3p+17) is the answer

Answer: -4p³ - 3p² - 17p

Step-by-step explanation:

I hope this helps!

C/8+25=20 what does c equal

Answers

Answer:

-40

Step-by-step explanation:

Answer:

C=-40

Step-by-step explanation:

C/8+25=20

C/8=-5

C=-40

Write an equation of the line in slope-intercept form.

Answers

Answer:

C. y = 5x

find the slope

(5-0)/(1-0)

5/1 = 5

then look at the y line

the point 0 is on line y

which has no value so c is the answer

Step-by-step explanation:

This is urgent, please answer!!

Answers

Answer: 23.4

Explanation: make the volumes equal each other with the ? as x. Then solve.
(12)(18)(32.5)=(25)(12)x
Divide both sides by 12
(18)(32.5)=25x
Solve left side
585=25x
Divide by 25
x=23.4

Kyle is a basketball player. His bottle was full at the beginning of the game. At the end of the first quarter, he drank 5/7 of the bottle. A coach filled up his bottle for him during the second quarter. At the end of second quarter, he drank some more water and left only 2/5 of water in the bottle. How much water did he drink during the first half of the game?

Answers

Final answer:

Kyle drank a total of 39/35 liter of water during the first half of the game.

Explanation:

To find the amount of water Kyle drank during the first half of the game, we need to calculate the difference between the initial amount of water and the amount left at the end of the second quarter.

Let's assume Kyle's bottle initially held 1 liter of water.

At the end of the first quarter, he drank 5/7 of the bottle or (5/7) * 1 = 5/7 liter of water.

After the coach filled up his bottle during the second quarter, the bottle was full again.

At the end of the second quarter, he drank some more water and left only 2/5 of water in the bottle, which is (2/5) * 1 = 2/5 liter of water.

Therefore, Kyle drank a total of 5/7 + 2/5 = 25/35 + 14/35 = 39/35 liter of water during the first half of the game.

Jessie is considering a purchase of a $135,000 home at 5.5%. Under this rate,
her mortgage payment would be $766.51. If she purchases a point, her new
mortgage payment is $755.96. How many months would it take her to break-
even on the points purchase?
A. 244 months
B. 186 months
C. 128 months
D. 134 months

Answers

Answer: 128 months

Step-by-step explanation:

Final answer:

Jessie will break even on the point purchase for her mortgage in approximately 128 months, as a point costs 1% of the $135,000 home, and the monthly mortgage payment falls by $10.55 after purchasing the point.

Explanation:

The student is asking how many months it will take Jessie to break even on the purchase of a point for her mortgage. A point typically costs 1% of the loan amount, and in return, the lender reduces the interest rate on the mortgage. In this case, the monthly payment is reduced from $766.51 to $755.96, a monthly savings of $10.55 ($766.51 - $755.96).

To calculate the break-even point in months, divide the cost of the point by the monthly savings. If a point costs 1% of the $135,000 home, then the cost is $1,350 ($135,000 * 0.01). The number of months to break even is therefore $1,350 / $10.55, which equals approximately 128 months.

Therefore, the correct answer would be:

C. 128 months

A Country’s population in 1990 was 134 million. In 2000 it was 139 million. Estimate the population in 2014 using the exponential growth formula. Round your answer to the nearest million. P=Ae^kt

Answers

Answer:

167 million

Step-by-step explanation:

The ratio is 1 million people every 2 years

A bag contains 5 red marbles, 3 white marbles, and 4 blue marbles. what is the probability of randomly selecting a red marble, setting is aside, and then randomly selecting another red marble from the bag? Hint: It's not 5/12, 2/12, or 5/18 :(

Answers

Answer:

Technically it is 5/12, but as a percentage it would be 41.6666%

Answer:

Randomly selecting the first red marble is a 5/12 chance.

Picking the red marble again would be 1/3 or 4/12 chance

Step-by-step explanation:

You rearrange your bedroom. Tell whether each move is an example of
a translation.
a. You slide your bed 1 foot along the wall.
b. You move your desk and chair to the opposite wall.
c. You move your bed stand to the other side of the bed.

Answers

Answer:

translation,reflection,

Step-by-step explanation:

because you move thing in different direction

Sliding the bed and moving the desk and chair are examples of translation, while moving the bed stand is an example of reflection.

a. Sliding the bed 1 foot along the wall is an example of a translation. The bed is moved from one position to another without changing its orientation.

b. Moving the desk and chair to the opposite wall is also an example of a translation. The desk and chair are moved from one side of the room to the other without any rotation or change in shape.

c. Moving the bed stand to the other side of the bed is not a translation, but a reflection. The bed stand is flipped across a line of symmetry, changing its orientation.

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Please helppppppp Last Question Gang if you can answer this one then I will answer your questions.

The eight grade is selling tickets to a dance fundraiser. The tickets cost 10$ each, the decorations cost $150 and the tickets cost $10 to print. How many tickets need to be sold to break even?

Answers

16 tickets need to be sold.

They already spent 160 dollars on tickets and decorations. To earn 160 dollars they need to sell 16 tickets, since each is 10 dollars.

pls help! will give brainlist!

what is the measurement of each angle?

Answers

Answer:

87°, 68°, and 25°

Step-by-step explanation:

All the angles in a triangle will equal to 180° so with knowing this you can create the equation...

(7x-11)° + (2x-3)° + (5x-2)° = 180°

(14x-16)° = 180°

14x = 180° + 16°

14x = 196°

x = 14°

Knowing x you can substitute this value into each angle.

7(14)-11 = 87°

5(14)-2 = 68°

2(14)-3 = 25°

To confirm that these are the right answers you can add all these angles to see if they equal to 180°.

87° + 68° + 25° = 180°

Answer:

7x -11  = 87 degree

5x-2  = 68 degree

2x-3 = 25 degree

When you turn this triangle into a parallelogram, we remember the opposite angles add up to 180 so we label top or bottom corner angle label it x/2 in this diagram as 7x is higher we label this one x/2 instead to make a parallelogram make sense to the triangles, being the ratio angles of each 4 corners.

We then know that that triangle within other angles at the bottom are smaller as they share another angle where top missing quadrilateral angle shares the left bottom supplementary angles as 2 opposite ends on a parallelogram add up to 180 degree.

We do the sums and call x 14 start with the top angle first

7x -11 = 7(14) -11 = 98-11 = 87 degree

5x-2 = 5(14)-2 = 68 degree

2x-3 = 2 (14) -3 = 25 degree

If you do this again for different measures and find the bottom angle is higher then you just redo your workings as bottom first is higher and find why with x.

To show your ways of reasoning that all x = 14 etc.

x= 14

Step-by-step explanation:

What's the answer will award brainiest

Answers

Answer:

d

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

PLEASE HELP 20 POINTS AND WILL MAKE BRAINLIEST!!!!
Factor each polynomial completely
4x+12
bx-2x
x squared -6x+9
x squared -4x+4y squared
4a squared -9

Answers

Answer:

4x+12 = 4(x+3)

bx-2x = x(b−2)

x^2-6x+9 = (x−3)(x−3)

x^2-4x+4y^2? Don't understand

4a^2-9 = (2a+3)(2a−3)

Step-by-step explanation:

Find an explicit formula for the geometric sequence 120, 60, 30, 15, ...

Answers

Final answer:

The explicit formula for the geometric sequence 120, 60, 30, 15, ... is an n = 120  times [tex](0.5)^{n-1}[/tex], where an is the nth term of the sequence.

Explanation:

The sequence given, 120, 60, 30, 15,..., is an example of a geometric sequence where each term is obtained by multiplying the previous one by a constant called the common ratio. For this sequence, the first term a is 120, and the common ratio r is 0.5 since each term is half the preceding one.

An explicit formula for a geometric sequence can be expressed as:

an = a times [tex]r^{n-1}[/tex]

Where a is the first term, r is the common ratio, and n is the term number. Applying this to the given sequence, the explicit formula is:

an = 120  times [tex](0.5)^{n-1}[/tex]

This formula represents the nth term of the sequence, showing how each term can be calculated directly from its position in the sequence.

Which relation is a function?

Answers

Answer:

The second one

Step-by-step explanation:

Answer: Choice B

Choice B shows each input going to exactly one output. Therefore it is a function.

Choices A, C, and D have one input leading to more than one output. For example, the input -5 in choice C goes to more than one output (-2 and 3). This is why choices A, C, and D are not functions.

A spinner is spun four times. What is the probability that the spinner lands on 2 each time?

a. 1/64
b. 1/256
c. 1/8
d. 1/16

Answers

Answer:

personally,

Step-by-step explanation:

I would say d :)

PLS help meeeeeeee!!!!!! will mark as BRAINLIEST

Answers

We are asked to find 7 is what percent to 30.

We will use proportions to solve our given problem.      

Let us assume that 7 is n% of 30. So we can set a proportion as:

[tex]\frac{n}{100}=\frac{7}{30}[/tex]

Let us solve for n.

[tex]\frac{n}{100}\cdot 100=\frac{7}{30}\cdot 100[/tex]

[tex]n=\frac{7}{3}\cdot 10[/tex]

[tex]n=\frac{70}{3}[/tex]

[tex]n=23.333[/tex]

Therefore, 7 is [tex]23.333\%[/tex] of 30.

Order each set of numbers from least to greatest (-2.5, 4, 23, -1, 5, -3, 0.66)

(1, -2.5, 0.75, 3, -0.75)

(63, -34, 36, -27, -13, and 12)

Answers

( -3, -2.5, -1, .66, 4, 23 )

( -2.5, -.75, .75, 1, 3 )

( -34, -27, -13, 12, 36, 63 )

What is the y-intercept of the parabola, y=25/4x^2+10x?

Answers

Answer:

0

Step-by-step explanation:

To get the y-intercept ,all you have to do is to substitute x by 0 in the equation y=25/4x²+10x and find the value of y .

y = 25/4(0)²+10(0)

  = 0 + 0

 = 0

what is 1+2+3+⋯+2014+2015+2016

Answers

Answer:6,051

Step-by-step explanation:1+2+3+2,014+2,015+2,016

Answer:

1016065

Step-by-step explanation:

What can be concluded about a cylinder and a cone with the same height and radius measures? Check all that

apply

The cone has the greater volume,

The cone and cylinder have the same base area

The cylinder can fit inside the cone

The cone and cylinder have the same diameter

Answers

Answer: the answer is B, C, E

Step-by-step explanation:

i just took the assignment

Answer:

B C E

Step-by-step explanation:

A.The cone has the greater volume.

B.The cone and cylinder have the same base area.

C.The volume of the cone is One-third the volume of the cylinder.

E.The cone and cylinder have the same diameter.

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