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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.)
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Mary is a scientist. Using a microscope, she looks at a salt crystal and discovers it is shaped like a cube. Each square face ha
Annette [7]
<h2>Explanation:</h2>

A cube is a prism whose sides all have the same length. You can think of a cube like the three dimensional version of a square. In this problem, we know that Mary is using a microscope in order to look at a salt crystal and discovers it is shaped like a cube. Each square face has side length:

s=0.1mm

This diagram is shown in the first figure below. A crystal's square face is one of the six faces of the cube. So in order to draw it we need to know how many units we'll have in each side. Since we know that 1 unit on the grid represents 0.01mm, then:

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5 0
2 years ago
Find the values of x1 and x2 where the following two constraints intersect.
Arte-miy333 [17]

Answer: x1 = 251/26, x2 = -111/26

Step-by-step explanation:

Hi!

As you can see in the figure, the point you are looking for is the intersection of two lines.

The intersection point is found solving this system of linear equations (the point must satisfy both equations):

9x_1 +7x_2=57\\4x_1 + 6x_2 = 13

You can solve it, for example, by the method of substitution:

\text{solve for x1 in the first equation:}\\x_1 = \frac{1}{9}(57 - 7x_2)

Then plug x1 into equation 2, and solve for x2:

\frac{4}{9}(57-7x_2) + 6x_2 = 13\\\text{doing the algebra you get:}\\x_2 = \frac{-111}{26}

Then you use the value of x2 to get x1:

x_1 = \frac{1}{9}(57 - 7x_2)= \frac{1}{9}(57 + 7*\frac{111}{26}) = 251/26\\

4 0
2 years ago
Sofia is working two summer jobs, making $12 per hour babysitting and making $8 per hour clearing tables. In a given week, she c
Mamont248 [21]

The possible values for the number of whole hours clearing tables that she must work to meet her requirements is 2, 3 hours

<em><u>Solution:</u></em>

Amount earned in babysitting = $ 12 per hour

Amount earned in clearing tables = $ 8 per hour

In a given week, she can work a maximum of 17 total hours and must earn a minimum of $180

Sofia worked 14 hours babysitting

Therefore,

Amount earned at babysitting = 14 x 12 = 168

Thus, Sofia earned $ 168 at babysitting

Sofia must earn a minimum of $ 180

Remaining amount to be earned = 180 - 168 = 12

Thus, Sofia must earn $ 12 from clearing tables

Amount earned in clearing tables = $ 8 per hour

So, she must work for atleast 1.5 hours to get $ 12 from clearing tables

She can work a maximum of 17 total hours and Sofia worked 14 hours babysitting

Remaining is 17 - 14 = 3 hours

Thus possible values for the number of whole hours clearing tables that she must work to meet her requirements is 2 hours or 3 hours

3 0
2 years ago
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Alika [10]

Answer:

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Step-by-step explanation:

Total share ratio = 4+5 = 9

Lionel's ratio = 5

Lionel's share = (5/9) × 675

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Lionel's mum = (3/5) x 375

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7 0
1 year ago
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ivann1987 [24]
2/3 2/3 shows 2 out of 3, in this case meaning 2 out of 3 baseballs
7 0
1 year ago
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