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Answer:

a = 45

b = 45

c = 73

The order doesn't matter as long as we have two copies of 45 and one copy of 73.

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Explanation:

If a,b,c are all different values, then there's no way to have a mode since the mode is the most frequent item. We need 45 to repeat itself more than once.

This means either a,b,c are the same value (45) or exactly two of those variables are equal (either a = b, b = c or a = c) to 45.

Let's assume that a = b = c = 45. If so, then

{41,46,a,b,c}

would update to

{41,46,45,45,45}

Adding those items up and dividing by 5 gets us

(41+46+45+45+45)/5 = 44.4

We don't get the mean of 50 we want. So all three a,b,c values cannot be 45.

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Instead, we have the case that exactly two of a,b,c are 45 and the third is something else.

Without loss of generality, let's say a = b = 45 and c is something else.

The set {41,46,a,b,c} updates to {41,46,45,45,c}

Add those values up, divide by 5, and set the result equal to the target goal of 50. The idea is to solve for c.

(41+46+45+45+c)/5 = 50

(177+c)/5 = 50

177+c = 5*50

177+c = 250

c = 250-177

c = 73

As a check,

(41+46+45+45+73)/5 = 50

which works out.

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So that's how we arrive to a = 45, b = 45, c = 73

The order of the letters doesn't matter. We could easily have a = 45, c = 73 and b = 45; or we could have a = 73, b = 45, c = 45.

All that matters is exactly two of the a,b,c are 45 and the third variable is 73.

Answer: 9x+18

Step-by-step explanation:

The least number of tickets each person needs to buy to meet that goal of volleyball team is 3 tickets.

The algebraic expression are used to represent the general problem in the mathematical way to solve them to find the value of unknown variable.

Let suppose the number of tickets sold are n. As the volleyball team is selling raffle tickets for $1.50 each and the total fund raised by selling the ticket is $250.

Thus, the number of tickets sold are,

[tex]n=\dfrac{250}{1.5}\\n\approx167[/tex]

Now everyone buys the same number of tickets and there are 75 people at the fundraiser. Thus, the number of tickets purchased by each fundraiser is,

[tex]x=\dfrac{167}{75}\\x=2.23[/tex]

The number of tickets should be more than 2.23 buy by each people to earn the profit at least or more than $250.

Hence, the least number of tickets each person needs to buy to meet that goal of volleyball team is 3 tickets.

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Answer:

Step-by-step explanation:

Answer: View the picture below!

Step-by-step explanation: Just did it!

Answer:

243

Step-by-step explanation:

If you are multiplying by 3 for the next number in the sequence, you would need to do 81 x 3 which is 243.

Answer:

243

Step-by-step explanation:

If you are multiplying by 3 for the next number in the sequence, you would need to do 81 x 3 which is 243.

See picture for math work and answer.

The area A of polygon ABCDEFG with the given vertices is 10 square units

The vertices are given as

A(0,5), B(2,5), C(2,3), D(3,2), E(1,2), F(0,3), G(−4,3)

The area of the polygon is calculated using

Area = 1/2 * |(x1y2 -x2y1) +(x2y3 -x3y2) + ..... + (xny -xyn)|

So, we have

Area = 1/2 * |(0 * 5 - 5 * 2) + (2 * 3 - 5 * 2) + (2 * 2 - 3 * 3) + (3 * 2 - 2 * 1) + (1 * 3 - 2 * 0) + (0 * 3 - 3 * -4) +(-4 * 5 - 3 * 0)|

Evaluate the sum of products

So, we have

Area = 1/2 * |-20|

Remove the absolute bracket

So, we have

Area = 1/2 * 20

Evaluate the products

So, we have

Area = 10

Hence, the area A of polygon ABCDEFG with the given vertices is 10 square units

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Answer: $10.08

2 pounds of hamburger would equal $8.96.

1/4 of 4.48 is $1.12.

Add $8.96 and $1.12 is $10.08

Answer:

First linear equattion is equation with two variables and its formlla is y=mx+b . Where y and x are variables and m is the slope . And b is rhe y intercept means the value which get from the value of x is 0. and x intercept is the value when y is 0

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

The Triangles congruent by SAS criteria are the ones in choice B

where the two sides are given equal, one side is common in there and they have a right angle between the mentioned two sides.

So, it makes it more reasonable

Hope you understood ~ ask me if there's any doubt or more questions !

Answer:

the opposite of 0.1 would be -0.1

the opposite of 1/7 would be 7

the opposite of 10 would be -10

the opposite of -7 would be 7

Answer:

3⁶

9³

Step-by-step explanation:

We know that,

⇒ [tex]a^{x} *a^{y} =a^{(x+y)}\\[/tex]

⇒ [tex]\frac{a^x}{a^y} =a^{(x-y)}[/tex]

⇒ [tex](a^x)^y=a^x^y[/tex]

Let us solve it now.

3⁴ × 3²

3 ⁽ ⁴ ⁺ ² ⁾

3⁶ ⇒ 729

And let us find the value of each expression which are given as answers and find the expressions which are equivalent to 729 ( 3⁶ ).

Answer: (-6,0)

Step-by-step explanation:

Hope this helps!

Step-by-step explanation:

Answer:

√21

Step-by-step explanation:

2^2+b^2=5^2

4+b^2=25

b^2=21

√ b^2=√ 21

Answer:

C          -4,-3

Step-by-step explanation:

for PLATO

The range is given as [tex]\rm \left\{y|y \ \epsilon \ R,y\neq -4,-3 \right\}[/tex]. Then the correct option is C.

The domain means all the possible values of x and the range means all the possible values of y.

The range of the function will be

The range will be a real number, but Exclude the line x = -3 and circle point on the graph at (5, -4)

Then the range is given as

[tex]\rm \left\{y|y \ \epsilon \ R,y\neq -4,-3 \right\}[/tex]

Then the correct option is C.

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Answer:

Box 2

Step-by-step explanation:

length x width x height = volume

Answer:

box  2

Step-by-step explanation:

Answer:

6, 9, 12, 15, 18, 21, 24, 27,

Step-by-step explanation:

Hope it helps

Solution:

We know that:

Rereading the phrase carefully.

Expression formed: 6 + 15/3

Answer:

x=22

Step-by-step explanation:

(5x+4)+44+x = 180. reason [being co-interior angle)

48+6x = 180

6x = 132

x=22

Answer:

Answer:

-2 1/4

Step-by-step explanation:

Answer:

y=-3x-1

Step-by-step explanation:

Answer:

500 dollars spend by john

Answer:

to find the value of x, bring the variable to the leftside and bring all the remaining values to the right side

Step-by-step explanation:

Thank me later

By using division operation we can conclude that the model for 2/3 ÷ 2 = 0.3333333335.

What is division?

Division is an arithmetic operation that involves splitting a quantity or number into equal parts. It is the process of finding how many times one quantity is contained within another quantity.

To solve the problem 2/3 ÷ 2, we can use the division operation of arithmetic. However, since this is a simple calculation, there is no need to use a complex model or tool.

Here are the steps to solve the problem:

Divide 2 by 3:

2 ÷ 3 = 0.666666667 (rounded to nine decimal places)

Divide the result from step 1 by 2:

0.666666667 ÷ 2 = 0.3333333335 (rounded to ten decimal places)

Therefore, 2/3 ÷ 2 = 0.3333333335.

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If f(x) = 0, the value of x are -1, 2 and 3.

In mathematics, a function is an expression, rule, or law that establishes the relationship between two variables—the independent and dependent variables. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

We have f(x)= 0

As we know that the solution of the graph can be predicted by the number of times the lines of the graph touches the x axis.

Here when f(x)= 0 which also means that y =0 then values of x are -2, 1 and 3.

Thus, the value of x are -1, 2 and 3.

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