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Roman55 [17]
2 years ago
13

At the arcade, nick spent 203 tokens on videogames in seven days. each day he spent five more tokens than the previous day. how

many tokens did nick spend on the third day at the arcade?
Mathematics
1 answer:
Dafna11 [192]2 years ago
8 0

Suppose nick spent x number of tokens on day 1

So he spent x + 5 on day 2

He spent x + 10 on day 3

He spent x + 15 on day 4

He spent x + 20 on day 5

On day 6 he spent x + 25

And on day 7 he spent x + 30

So in all he spent

x + x + 5 + x + 10 + x + 15 + x + 20 + x + 25 + x + 30

= 7x + 105

But total token spent = 203

So

7x + 105 = 203

Subtracting 105 from both sides

7x = 203 - 105

7x = 98

Dividing by 7 on both sides

x = 14

So on third day he spent x + 10

= 14 + 10

= 24 tokens

Tokens spent on day 3 = 24

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The cost of 5 scarves is $91.25. What is the unit price? The unit price is $ per scarf.
NikAS [45]

Answer:

18.25

Step-by-step explanation:

just divide the total cost of scarves by the number of scarves:

91.25 / 5 = 18.25

6 0
2 years ago
An online furniture store sells chairs for $200 each and tables for $600 each. Every day, the store can ship a maximum of 32 pie
wolverine [178]

Answer:

If the minimum 13 chair were sold , then the minimum number of Table sold is 14

Step-by-step explanation:

Given as :

The cost of each chair = $ 200

The cost of each table = $ 600

The total number of furniture sold per day = 32

The minimum amount of selling per day = $ 12000

Let the total number of chair = C

The total number of table = T

So , according to question

C + T = 32         .......1

200 C + 600 T = 12000         .......2

Solving eq 1 and 2

200 C + 600 T = 12000

200 × ( C + T ) = 32 × 200

I.e 200 C + 200 T = 6400

or, ( 200 C + 600 T ) - ( 200 C + 200 T ) = 12,000 - 6400

Or, 400 T =  5600

∴  T = \frac{5600}{400}

I.e T = 14

Put The value of T in eq 2

So, 200 C + 600 × 14 = 12000

or , 200 C + 8400 = 12,000

Or, 200 C = 12000 - 8400

Or, 200 C = 3600

∴   C = \frac{3600}{200}

I.e C = 18

The number of chair sold is 18

If the number of chair sold is 13 ,

Then the min number of table sold = 200 × 18 + 600 T = 12000

i.e 600 T = 12000 - 3600

or, 600 T = 8400

∴   T = \frac{8400}{600}

I.e T = 14

Hence if the minimum 13 chair were sold , then the minimum number of Table sold is 14 . Answer

5 0
2 years ago
a salon owner noted what types of services its clients requested last week. Here are the results. 5% dye only, 30% haircut and d
soldi70 [24.7K]

Answer:

2/3

Step-by-step explanation:

So we have 10%+5%=15% of clients under the condition "permanent", and we can find the probability that a client in that group requested a haircut:

P(haircut | permanent)=10%/15%=2/3

​

3 0
2 years ago
Which point is a solution to the inequality shown in this graph?
Leviafan [203]

Answer:

A) (0,5)

Step-by-step explanation:

Coordinate point (0,5) lies within the bounded blue region

6 0
2 years ago
Read 2 more answers
Given: NM ∥ XZ Prove: △XYZ ~ △NYM Triangles X Y Z and N Y M are shown. Triangle X Y Z is smaller and sits inside of triangle N Y
elena-s [515]

Answer:

Parallel

corresponding angles theorem

NYM

AA

Step-by-step explanation:  I DID IT ON EDGE! : )

We know that side NM is  _________________

✔ parallel

to side XZ. If we consider side NY the transversal for these parallel lines, we create angle pairs. Using the  _____________

✔ corresponding angles theorem

, we can state that ∠YXZ is congruent to ∠YNM. We know that angle XYZ is congruent to angle  _____________

✔ NYM

by the reflexive property. Therefore, triangle XYZ is similar to triangle NYM by the  _____________

✔ AA

 similarity theorem.

7 0
2 years ago
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