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3 years ago

2. Write the number sentence this represents.

Mathematics

2 answers:

kolbaska11 [484]3 years ago

4 0

Answer:

55- 21=34

Step-by-step explanation:

mario62 [17]3 years ago

3 0

The answer to this question is the number sentence 55-21=33

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9. A band director wants to form a committee of 4 parents from a list of 45 band parents.

Alex73 [517]

Answer:

Part (A): The number of ways to select 12 jurors are 86493225.

Part (B): The number of ways to select 2 alternates are 306.

Part (C): Part (a) is an example of combination and Part (a) is an example of permutation

Step-by-step explanation:

Consider the provided information.

A band director wants to form a committee of 4 parents from a list of 45 band parents.

Part (A): How many different groups of 4 parents can the band director select?

Since order doesn't matter so we will use combination.

Use the formula for combination $^{n}C_{r}=\frac{n!}{r!(n-r)!}$

Substitute n=45 and r=4 in above formula.

$^{45}C_{4}=\frac{45!}{4!(45-4)!}$

$^{45}C_{4}=\frac{45!}{4!41!}$

$^{45}C_{4}=148995$

Hence, the number of ways are 148995.

Part (B) How many different ways can the band director select 4 parents to serve in the band parents’ association as president, vice president, treasurer, and secretary?

Since the order matter so we will use permutation:

The formula for permutation is: $^{n}P_{r}=\frac{n!}{(n-r)!}$

Substitute n=45 and r=4 in above formula.

$^{45}P_{4}=\frac{45!}{(45-4)!}$

$^{45}P_{4}=\frac{45!}{41!}$

$^{45}P_{4}=3575880$

Hence, the number of ways are 3575880.

Part (C) . Explain the difference between parts (a) and (b) in terms of how you decided to solve each part.

Part (A) is an example of number of combination where order doesn't matter.

Part (B) is an example of permutation where order matter.

7 0

3 years ago

Graph 2x=2y plssssssss

yKpoI14uk [10]

Answer:

4xy

Step-by-step explanation:

2 x 2 = 4, then just plop the x and y down, and there's your answer

8 0

3 years ago

Which equation, when graphed, has x-intercepts at (-1,0) and (-5,0) and a y-intercept at (0, -30)?

Vladimir [108]

If a function has roots -1 and -5, it must be in the form

$f(x)=a(x+1)(x+5)$

We can fix the coefficient a by imposing the passing through (0,-30):

$f(0)=-30=a(1)(5)\iff a=-6$

So, the function is

$f(x)=-6(x+1)(x+5)$

7 0

3 years ago

Explain how each part of the equation 9=3(x+2) is represented for 9

Luden [163]

Answer:

because there's an equals sign and if you want the answer x=1

Step-by-step explanation:

because 9=3x+6 cancel out 6, 3=3x divided on both sides, 1=x

3 0

3 years ago

Read 2 more answers

Ray UW is the angle bisector of VUT.

aliina [53]

Answer:

38°

Step-by-step explanation:

An angle bisector divides the angles into 2 equal parts. Since ray UW is the angle bisector of ∠VUT, it divides ∠VUT into two equal angles ∠VUW and ∠WUT

We are given the measures of both angles.

mVUW = (4x + 6)°

mWUT = (6x – 10)°

Since,

mVUW = mWUT, we can write:

4x + 6 = 6x - 10

6 + 10 = 6x - 4x

16 = 2x

x = 8

Using the value of 8 in equation of mWUT, we get:

mWUT = (6x – 10)°

= 6(8) - 10

= 48 - 10

= 38°

Thus, the measure of WUT is 38°

4 0

3 years ago

Read 2 more answers