Part 1 - Application
The local botanical garden is setting up for a special event called "Music Mondays." They expect to have 100 people show up to the event and want to make sure that they have enough room for that many chairs. The first row has 8 chairs in it and each new row adds four chairs. How many chairs would be on the 5th row? Would 5 rows be enough to accommodate the 100 people?

Answer:

Fill in the blank 1: -23

Fill in the blank 2: -33

Fill in the blank 3: 23

Fill in the blank 4: 10

Step-by-step explanation:

The first fill in the blank is solved by adding -23 or subtracting 23 from -13 to equal the other side of the equation. The second fill in the blank is solved by adding -23 and -13, which would get you -33 (assuming that you're supposed to solve the right side of the equation). The 3rd fill in the blank is solved by adding the opposite of -23 to the right side of the equation (23). The 4th fill in the blank is solved by adding -13 and 23 together which make 10.

Answer:

1. -23

2. -33

3. 23

4. 10

Step-by-step explanation:

Answer:a+8

Step-by-step explanation:

I think it’s a+8 because since the difference between the 2 numbers is 8 to get the other number you have to add 8 to a.

Answer: hope this helps ♡

a + 8  = x

Step-by-step explanation:

The lesser number = a

The greater number = x

The difference = 8

Expression:

a + 8  = x

(Eg: a=4   x=12  difference=8  expression=4+8=12)      

Answer:

C

Step-by-step explanation:

Answer:

[tex]\tt {1)\:a^{-b}}=\boxed{\tt \cfrac{1}{a^b}}[/tex]

[tex]\tt 2)\: \cfrac{a^b}{a^c}=\boxed{\tt a^{b-c}}[/tex]

[tex]\tt \tt 3)\:\cfrac{a^c}{b^c}=\boxed{\tt \left(\cfrac{a}{b}\right)^c}[/tex]

Step-by-step explanation:

[tex]\tt {1)\:a^{-b}}[/tex]

Apply the exponent:-

[tex]\boxed{\tt a^{-b}=\frac{1}{a^b}}[/tex]

___________________

[tex]\tt 2)\: \cfrac{a^b}{a^c}[/tex]

Apply the exponent:-

[tex]\boxed{\tt \cfrac{x^a}{x^b}=x^{a-b}}[/tex]

___________________

[tex]\tt 3)\:\cfrac{a^c}{b^c}[/tex]

Apply the exponent:-

[tex]\boxed{\tt \frac{x^a}{x^b}\:=\:x^{a-b}}[/tex]

[tex]\tt \left(\cfrac{a}{b}\right)^c[/tex]

________________________

Hope this helps! :)

Answer:

9 plums and 15 oranges

Step-by-step explanation:

3+3+3 = 9 plums

5+5+5= 15 oranges

1+1+1= 3 apples

Answer: 5,-3 is the outlier

Everything else is the cluster

Step-by-step explanation: You can see it in the graph

Answer:

1.00

Step-by-step explanation:

[tex]1.00 \times 6[/tex]

Answer: 40g - 4w

Step-by-step explanation:

4(10g - w)

4(10g) + 4(-w)

40g - 4w

Answer:

It would be -8 - (-2)

Step-by-step explanation:

It would be the second choice because it's the only one with a negative six.

Answer:

-8 - (-2) is equivalent to -6.

Step-by-step explanation:

-8 + (-2) = -8 - 2 = -10

-8 - (-2) = -8 + 2 = -6 ✓

-2 + (-8) = -2 - 8 = -10

2 - (-8) = 2 + 8 = 10

Answer:

To express the difference in the measures of center as a multiple of the measure of variation, we can use the coefficient of variation (CV), which is a measure of relative variability. The CV is calculated by dividing the standard deviation by the mean and expressing the result as a percentage.

However, in this case, we are not given the standard deviation or the mean of the data. Instead, we are given the median and the interquartile range (IQR) for each team. The IQR is a measure of the spread of the middle 50% of the data and is calculated by subtracting the first quartile (Q1) from the third quartile (Q3).

To find the measure of variation, we can use the IQR for each team. The IQR for Team A is 2, and the IQR for Team B is also 2.

To find the difference in the measures of center, we can subtract the median of Team A from the median of Team B:

7 - 3 = 4

Therefore, the difference in the measures of center is 4.

To express this difference as a multiple of the measure of variation, we can divide the difference by the IQR for either team. Let's use the IQR for Team A:

4 / 2 = 2

Therefore, the difference in the measures of center is 2 times the measure of variation (IQR) for Team A.

Answer:

-2x - 10 = -2(x + 5)

Step-by-step explanation:

-2x - 10 = -2(x + 5)

Multiply out the right side:

-2x - 10

Answer:

-2x-10=-2(x+5)

Step-by-step explanation:

-2x-10=-2x-10

Answer:

Step-by-step explanation:

Let F represent a full tank:

1/5F + 3 =1/4F, solve for F

F = 60 Liters when it is full

Answer:     A

Step-by-step explanation:

x=1 right?    1x3 =3    and yo need 3 to make it work so there you go

Answer:

x<15

Step-by-step explanation:

75+7x<180

subtract 75 from 180

7x<105

divide 105 by 7

x<15

Hope this helps!

Answer:

4/9

Step-by-step explanation:

Since the answer is 1 digit then the range is from 1 - 9 and since you need even number you remove 1, 3, 5, 7, and 9, to get 4 even numbers out of the 9 possible digits.

Answer: 1. S, $29.75

2. P, $160

3. I, 1,536

4. E, 1,015

5. A, 20

6. 306

Step-by-step explanation:  1. S, $29.75 2. P, $160 3. I, 1,536 4. E, 1,015 5. A, 20 6. 306

Answer:

That is correct: The answer is 180 square feet

Step-by-step explanation:

Rec A: 10x6

Tri 1: (6x4)/2

Tri 2: (6x4)/2

Rec B: 12x4

Rec C: 12x4

Answer: 3/2 or 1.5

Step-by-step explanation:

the constant is the thing that is multiplied by the shirts to find the price

7.50/5 is 1.5

so is 15/10 etc

Answer: [tex]y=10x[/tex]

Explanation:  

For every one across, it goes 10 up. So it should be 10x

So it should be =

[tex]y=10x[/tex]

Answer:

-(5 x + 6)

-5 x - 6

Step-by-step explanation:

You could choose one of those. While I was simplifying I got both of those. Let me know if both are correct or only one of them.

Answer: Wouldnt it be 82 since the number of turtles doesn't change?

Answer:

for one shirt would be y=1.50x+1

Step-by-step explanation:

hope this helps!

Answer: 80% of the faculty is female

Step-by-step explanation:

To find the percentage of the faculty that is female, we need to first determine how many faculty members are female.

Number of female faculty members = Total faculty members - Number of male faculty members

Number of female faculty members = 70 - 14

Number of female faculty members = 56

Now we can calculate the percentage of the faculty that is female by dividing the number of female faculty members by the total faculty members and multiplying by 100.

Percentage of female faculty members = (Number of female faculty members / Total faculty members) x 100

Percentage of female faculty members = (56 / 70) x 100

Percentage of female faculty members = 0.8 x 100

Percentage of female faculty members = 80%

Therefore, 80% of the faculty at this school is female.

Answer:

Let the tree be x, the puppies be y, and the flowers be z.

Given: x + 26 = 114

When finding x: x = 114 - 26

x = 88, Therefore the tree has a value of 88.

Given: y + y + y = 159

When finding y: 3y = 159

y = 159/3 = 53, Therefore the puppies have a value of 53 each.

Given: z - 26 = 200

When finding z: z = 200 + 26

z = 226, Therefore the flowers have a value of 226.

Have a wonderful day! :-)

Answer:

0.15

Step-by-step explanation:

[tex]54 \div 360[/tex]

equals 0.15

Answer:

I think it's $554.40

Step-by-step explanation: