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erica [24]
3 years ago
7

Barbara Bailey joined a bowling league. She paid a $18.00 entry fee plus $7.50 a week for 16 weeks. She purchased a bowling ball

for $102, a bag for $39.95, glove for $11.00, and a pair of shoes for $48.99. What was her cost before taxes?
Mathematics
2 answers:
larisa [96]3 years ago
7 0
If you add them all up it comes out to $339.94
dezoksy [38]3 years ago
3 0

Answer:

Barbara paid total amount of $339.94 before taxes.

Step-by-step explanation:

As tax amount or percentage is not give, we can assume that the sum of all the items is the total cost Barbara paid.

We will add up all the costs.

Entry fee = $18

And separate fee of $7.50 per week for 16 weeks, total amount is = 7.50\times16=$120

Cost of bowling ball = $102

Cost of a bag = $39.95

Cost of glove = $11.00

Cost of a pair of shoes = $48.99.

Adding up all values = 18+120+102+39.95+11+48.99

=$339.94

Thus, we can say that Barbara paid a total amount of $339.94 before taxes.

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A sphere with a diameter of 30 inches is placed in a cube. The sphere touches the lateral faces
Nina [5.8K]

Answer:

a) 30 inches × 30 inches × 30 inches

b) 27,000 inches³

c) 14,130 inches³

d) 12,870 inches³

Step-by-step explanation:

Edge of the cube = diameter = 30 inches

Volume of cube = s³

30³ = 27000 inches³

Radius = 30/2 = 15

Volume of sphere:

(4/3) × 3.15 × 15³

14130 inches³

Difference:

27000 - 14130

12870 inches³

5 0
3 years ago
1. What is the solution set for -4x - 10 ≤ 2 ?
tresset_1 [31]

Answer:

x≥−3

Step-by-step explanation:

−4x−10≤2

Step 1: Add 10 to both sides.

−4x−10+10≤2+10

−4x≤12

Step 2: Divide both sides by -4.

−4x−4≤12

−4

x≥−3

5 0
2 years ago
Suppose that you had the following data set. 500 200 250 275 300 Suppose that the value 500 was a typo, and it was suppose to be
hodyreva [135]

Answer:

\bar X_B = \frac{\sum_{i=1}^5 X_i}{5} =\frac{500+200+250+275+300}{5}=\frac{1525}{5}=305

s_B = \sqrt{\frac{\sum_{i=1}^5 (X_i-\bar X)^2}{n-1}}=\sqrt{\frac{(500-305)^2 +(200-305)^2 +(250-305)^2 +(275-305)^2 +(300-305)^2)}{5-1}} = 115.108

\bar X_A = \frac{\sum_{i=1}^5 X_i}{5} =\frac{-500+200+250+275+300}{5}=\frac{525}{5}=105

s_A = \sqrt{\frac{\sum_{i=1}^5 (X_i-\bar X)^2}{n-1}}=\sqrt{\frac{(-500-105)^2 +(200-105)^2 +(250-105)^2 +(275-105)^2 +(300-105)^2)}{5-1}} = 340.221

The absolute difference is:

Abs = |340.221-115.108|= 225.113

If we find the % of change respect the before case we have this:

\% Change = \frac{|340.221-115.108|}{115.108} *100 = 195.57\%

So then is a big change.

Step-by-step explanation:

The subindex B is for the before case and the subindex A is for the after case

Before case (with 500)

For this case we have the following dataset:

500 200 250 275 300

We can calculate the mean with the following formula:

\bar X_B = \frac{\sum_{i=1}^5 X_i}{5} =\frac{500+200+250+275+300}{5}=\frac{1525}{5}=305

And the sample deviation with the following formula:

s_B = \sqrt{\frac{\sum_{i=1}^5 (X_i-\bar X)^2}{n-1}}=\sqrt{\frac{(500-305)^2 +(200-305)^2 +(250-305)^2 +(275-305)^2 +(300-305)^2)}{5-1}} = 115.108

After case (With -500 instead of 500)

For this case we have the following dataset:

-500 200 250 275 300

We can calculate the mean with the following formula:

\bar X_A = \frac{\sum_{i=1}^5 X_i}{5} =\frac{-500+200+250+275+300}{5}=\frac{525}{5}=105

And the sample deviation with the following formula:

s_A = \sqrt{\frac{\sum_{i=1}^5 (X_i-\bar X)^2}{n-1}}=\sqrt{\frac{(-500-105)^2 +(200-105)^2 +(250-105)^2 +(275-105)^2 +(300-105)^2)}{5-1}} = 340.221

And as we can see we have a significant change between the two values for the two cases.

The absolute difference is:

Abs = |340.221-115.108|= 225.113

If we find the % of change respect the before case we have this:

\% Change = \frac{|340.221-115.108|}{115.108} *100 = 195.57\%

So then is a big change.

8 0
3 years ago
Type the equation that shows the pattern among this set of ordered pairs.
Ludmilka [50]
Line y=mx+b  has  point (0,b).
If you've got poind (0,4)  -  you can write, that b=4. 
So this is line y=mx+4 
Now slope.  You've got point (1,0), so  for x=1,  y=0.  Substitute:
m * 1 + 4 = 0 
m+4 = 0 
m=-4
So equation of this line is: y=-4x+4 

4 0
2 years ago
John is curious how much money he can make in a month. He makes one penny on March 1st. He hopes to double the amount he makes e
KonstantinChe [14]

Answer:

£10,737,418.24

Step-by-step explanation:

<u>Every day amount doubles:</u>

  • March 1st = 1p= 2^0 p
  • March 2nd = 2*1p = 2^1 p
  • March 3rd = 2*2p = 2^2 p
  • ...
  • March 31st = 2^30 p = 1,073,741,824 p = £10,737,418. 24
4 0
3 years ago
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