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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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Solve the equation thanks!
AlladinOne [14]

Answer:

c = \frac{27}{40}

Step-by-step explanation:

To eliminate the fractions, multiply all terms by the lowest common multiple of 8 and 5

The lowest common multiple of 8 and 5 is 40

5 + 40c = 32 ( subtract 5 from both sides )

40c = 27 ( divide both sides by 40 )

c = \frac{27}{40}

8 0
3 years ago
Read 2 more answers
What is u = kx + ух, for x
Ivahew [28]

Answer:

<h2>x=  \frac{u}{k + y}</h2>

Step-by-step explanation:

u = kx + ух

First of all factorize x out at the right side of the equation

That's

u = x(k + y)

Divide both sides by ( k + y) to make x stand alone

That's

<h3>\frac{x(k + y)}{k + y}  =  \frac{u}{k + y}</h3>

We have the final answer as

<h3>x =  \frac{u}{k + y}</h3>

Hope this helps you

6 0
3 years ago
Nico can do 42 push-ups in 3 minutes.
Alchen [17]

Step-by-step explanation:

Hey there!

It is said we need to find the unit rate.

What we can do is apply Unitary Method.

3 minutes = 42 push ups

1 minute = \sf{\bf{\dfrac{42}{3}}}

<u>So, 12 push ups per minute is the unit rate.</u>

In 5 minutes, he will do 12×5 = <u>60 push ups!</u>

Hope it helps :)

4 0
2 years ago
Lin opened a savings account that pays 5.25% interest and deposited $5000. If she makes no deposits and no withdrawals for 3 yea
Alexxandr [17]

Answer:

$5829.57

Step-by-step explanation:

Annually compounding interest formula: PV(1+i)^t

5000(1+.0525)^3

5829.567266

which rounds to: 5829.57

7 0
3 years ago
If you pay a worker $30 an hour for 33 hours each week, what is the gross pay for the year?
Phoenix [80]

Answer:

$51,480

Step-by-step explanation:

30 x 33 x 52 = $51,480

6 0
3 years ago
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