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docker41 [41]
3 years ago
7

Consider the rule y = 5x + 7.

Mathematics
1 answer:
maksim [4K]3 years ago
5 0

Answer:

see below

Step-by-step explanation:

Consider the rule y = 5x + 7.

a. How many tiles are in Figure 0?

In figure 0, we let x=0

y = 5*0+7 = 0+7 = 7

b. Which figure has 37 tiles?

This means y = 37

37 = 5x+7

Subtract 7 from each side

37-7 = 5x+7-7

30 = 5x

Divide by 5

30/5 = 5x/5

6 =x

Figure 6 has 37 tiles

c. In the equation y = mx + b, what do the letters m and b represent?

m is the slope or how much it is increasing each time x increases by 1  and b is how much we start with when x =0

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A girl buys a city-bike which has a price of $120.she pays 60% of this price and then pays $10 per month for 6 months.how much d
Anton [14]
Initial payment = 60% of $120 = 0.6 x 120 = $72
Total monthly payments = $10 x 6 = $60
Toatal amount paid altogether = $72 + $60 = $132
7 0
3 years ago
Which of the following choices is the explicit formula for the following geometric sequence?
jonny [76]
Common ratio (r) can be found by dividing the second term by the first term.
0.02 / -0.1 = -0.2

an = a1 * r ^ (n - 1)
a1 = first term = -0.1
r = common ratio = -0.2

an = -0.1(-0.2)^(n - 1)...answer is C


3 0
3 years ago
Add: 7,288 + 6,627 + 4,515
PIT_PIT [208]
18,430! I hope this helps you out!
5 0
2 years ago
A runner completed a 26.2-mile marathon in 210 minutes.Estimate the unit rate, in minutes per mile. Round your answer to the nea
ELEN [110]

Answer:

The unit rate in minutes per miles be 8.02 minutes per miles .

Step-by-step explanation:

Step 1. 26.2 miles/ 210 mins  = x miles / 1min

1 * 26.2 / 210 = .12 miles / min

Step 2. 26.2. 0.13

÷210.

210. 1

(The amount miles ran in 1 minute is 0.13 miles.)

Step 3. 26.2/210= .125 miles per minute

210/26.2= 8.02 minutes per mile

Step 4. 1) Cross multiply. (26.2 = 210x)

2) Divide 210 from each side. (26.2/210 = .1247619048  ,  210x/210 = x)

3) Round to the nearest 100th. (.12)

4) X=.12

5) .12 miles ran per minute

6 0
2 years ago
Assume that the pond contains 90 fish: 64 purple, 25 green, and 1 red. A contestant pays $0.55 to randomly catch one fish and re
Licemer1 [7]

Answer:

The carnival is losing (on average) $0.15 on each play

Step-by-step explanation:

To find out how much the carnival wins or looses in each play one subtract the expected value (EV) from each play from the amount charged by the carnival for each play ($0.55). If the expected value is higher than what the carnival charges, the carnival is losing money.

Expected is the sum of the payouts of each bet multiplied by its likelihood:

EV= \frac{64*0.40+25*1.15+1*9.00}{90}\\EV= 0.70

Since the expected value is higher than $0.55, the carnival is losing money, on average, on each play:

0.55-0.7 = -0.15

The carnival is losing (on average) $0.15 on each play

6 0
3 years ago
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