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lara31 [8.8K]
2 years ago
7

A group of friends are going ice skating. The price of admission is $3.25. As a group, they spent $14 on refreshments. If they s

pent a total of $30.25 on admission and refreshments, how many friends went ice skating?
Mathematics
2 answers:
Helen [10]2 years ago
4 0
Start with $30.25. 
Subtract $14.00 to isolate the amount of money spent on admission. 
30.25-14.00= 16.25. As a group $16.25 was spent on admission.
Admission is 3.25 per person. Divide 16.25 by 3.25. 
16.25/3.25=5. 
5 friends went ice skating. 
Finger [1]2 years ago
3 0
30.25 - 14 = 16.25
16.25/3.25 = 5

(the friends spent 30.25 in total, and 14 of that was on refreshments, meaning the remaining amount (16.25) was spent on admissions. 16.25 would buy 5 admissions, therefore 5 friends went skating.)
You might be interested in
The parallel dotplots below display the girths (belly
liraira [26]

Answer:

The standard deviation for the distribution of girths is

about the same for both male and female pigs.

Step-by-step explanation:

Step 1

We will interprete the dotplots

For the Male pigs

24, 26, 26, 26, 26, 26, 26, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 30, 30, 30, 30, 30, 30, 32

Range

Maximum value - Minimum value

= 32 - 24

= 8

IQR = Interquartile range = Q3 - Q1

Q1 formula = 1/4(n + 1)th

=n = 25

= 1/4(25 + 1)

= 1/4(26)

= 26/4

= 6.5

This mean the value is between the 6th and 7th value

6th value = 26

7th value = 26

Q1 = 26 + 26/2

Q1 = 26

Q3

Q3 formula = 3/4(n + 1)th

=n = 25

= 3/4(25 + 1)

= 3/4(26)

= 78/4

= 19.5

This mean the value is between the 19th and 20th value

19th value = 30

20th value = 30

Q3= 30+ 30/2

= 30

IQR = 30 - 26

= 4

Standard deviation

Mean

First we find the mean

= 24+ 26+26+ 26+ 26+ 26+26+28+ 28+ 28+ 28+28+ 28+ 28+28+ 28+28+28+30+ 30+30+ 30+30+30+32/28

= 700/25

= 28

Standard deviation Formula = √(x - mean)²/n - 1

= √[(24-28)² + (26- 28)² + (26 -28)² + (26 - 28)² +................ (32 - 28)²]/25 - 1

= √(16 + 4 + 4+ 4+ 4+4+ 4+0+ 0+ 0+ 0+0+ 0+ 0+ 0+0+0+0+ 4+ 4+4+4+4+ 4+ 16)/25 - 1

= √80/25 - 1

=√3.333333333

1.825741858

Female Pigs

21, 23, 23, 23,23,23,23,25, 25, 25, 25, 25, 25, 25, 25, 25, 25,25, 27, 27, 27, 27,27, 27, 29

Range:

Maximum value - Minimum value

= 29 - 21

8

IQR

IQR = Interquartile range = Q3 - Q1

Q1 formula = 1/4(n + 1)th

=n = 25

= 1/4(25 + 1)

= 1/4(26)

= 26/4

= 6.5

This mean the value is between the 6th and 7th value

6th value = 23

7th value = 23

Q1 = 23 + 23/2

Q1 = 23

Q3

Q3 formula = 3/4(n + 1)th

=n = 25

= 3/4(25 + 1)

= 3/4(26)

= 78/4

= 19.5

This mean the value is between the 19th and 20th value

19th value = 27

20th value = 27

Q3= 27+ 27/2

Q3 = 27

IQR = 27 - 23

= 4

First we find the Mean

=(21+23+23+23+23+23+23+25+ 25+ 25+ 25+25+ 25+ 25+ 25+25+25+25+27+27+ 27+27+27+ 27+29)/25

= 625/25

= 25

Standard deviation Formula = √(x - mean)²/n - 1

= √[(21-25)² + (23- 25)² + (23 -25)² + (23 - 25)² +................ (29 - 25)²]/25 - 1

= √(16 + 4 + 4+ 4+ 4+4+ 4+0+ 0+ 0+ 0+0+ 0+ 0+ 0+0+0+0+ 4+ 4+4+4+4+ 4+ 16)/25 - 1

= √80/25 - 1

=√3.333333333

1.825741858

Looking at the calculation above and comparing both the girths from the male and female

We can conclude that: The standard deviation for the distribution of girths is

about the same for both male and female pigs which is 1.825741858

5 0
2 years ago
A=<3,0,-1>, find a vector b such that comp(sub a) b=2.
Anna35 [415]
Compab=a.b/|a|
b=<0,1,−2√10>
a.b= 2√10
|a| = √10
a.b/|a|=2√10 / √10=2


5 0
2 years ago
Find the sine function that is represented in the graph.
meriva

Answer:

Choice D). f(x)=20\sin(4x) is correct.

Step-by-step explanation:

Given function graph is sinusoidal so let's compare with formula f(x)=A\sin(Bx-C)+D

We know that amplitude is the height from the center line to the peak (or to the trough). From graph we can see that height from the center line to the peak is 20

So amplitude A=20

In that formula, period is given by \frac{2\pi}{B}

From graph we see that period is \frac{\pi}{2}

So both must be equal

\frac{2\pi}{B}=\frac{\pi}{2}

\frac{2}{B}=\frac{1}{2}

cross multiplying them gives

B=4

Clearly there is no shift so C and D are 0

Now plug these values into formula f(x)=A\sin(Bx-C)+D

f(x)=20\sin(4x-0)+0

f(x)=20\sin(4x)

Hence choice D is correct.

6 0
1 year ago
Carlie runs two different business. She needs to pay $100 for materials, and pay her associates $12 per hour for
Marrrta [24]

Answer:

375+12ct_c+10lt_l

Step-by-step explanation:

Carlie is running two different business.

She needs to pay:

- For the childcare business,

100$ for the materials

12$ per hour for each associate for her childcare business, so if we call:

t_c = the number of hours worked by each associate

c = the number of associates

The total cost for the childcare business is:

C=100+12ct_c (1)

- For the lawn care business,

275$ for the materials

10$ per hour for each associate for her lawn care business, so if we call:

t_l = the number of hours worked by each associate

l = the number of associates

The total cost for the lawn care business is:

L=275+10lt_l (2)

Therefore, the total expenses from both businesses is the sum of (1) and (2):

T=C+L=100+12ct_c+275+10lt_l = 375+12ct_c+10lt_l

3 0
2 years ago
A rectangular prism has a volume of 320 cubic cm. Its height is 8 cm. What is the area of its base? A 40 square cm B 4 square cm
Airida [17]
Volume of a prism is height x base x length. the area of the base would be calculated from the volume/ height so 
320/8 = 40 cm squared
3 0
1 year ago
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