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fomenos
1 year ago
13

The equation below represents the total price of Michigan State University per

Mathematics
1 answer:
castortr0y [4]1 year ago
8 0

Answer:

See below ~

Step-by-step explanation:

<h3>What number represents the slope?</h3>

The slope refers to the rate of change of the equation.

Here, the slope is 1473 as that is the value that is multiplied on increasing the number of classes.

It represents the price per class.

<h3>What number represents the y-intercept?</h3>

The y-intercept refers to where the line intersects the y-axis.

Here, the y-intercept is 5495.

It represents the one time fee for room and board.

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She worked a total of 15 hours. If she makes $15 per hour tutoring and $9 per hour at the grocery store and made a total of $159
Ugo [173]

Answer:

11 hours she worked at the grocery store

Step-by-step explanation:

assuming,

the number of hours worked at tutoring = x

the number of hours worked at grocery store = y

which means,

the amount she made at tutoring = x* $15

the amount she made at grocery store = y*$9

we have 2 equations

<em>total number of hours</em>

1) x+y= 15  

<em>total amount she earned</em>

2) x* $15+ y* $9= $159

From equation 1

x+y= 15  

x=15-y

<em>we replace this x value in equation 2</em>

x* $15+ y* $9= $159

(15-y)* $15+ y* $9= $159

(15*15)- 15y+9y=159

225-6y=159

225-159=6y

66=6y

66/6=y

<u>11=y</u>  <em>the number of hours she worked at grocery store. </em>

<em>we place y=11 in our derived x equation</em>

x=15-y

x=15-11

<u><em>x=4 </em></u><em>the number of hours she worked at tutoring. </em>

3 0
3 years ago
A mattress store sells only king, queen and twin-size mattresses. Sales records at the store indicate that the number of queen-s
Nitella [24]

Answer:

The probability that the next mattress sold is either king or queen-size is P=0.8.

Step-by-step explanation:

We have 3 types of matress: queen size (Q), king size (K) and twin size (T).

We will treat the probability as the proportion (or relative frequency) of sales of each type of matress.

We know that the number of queen-size mattresses sold is one-fourth the number of king and twin-size mattresses combined. This can be expressed as:

P_Q=\dfrac{P_K+P_T}{4}\\\\\\4P_Q-P_K-P_T=0

We also know that three times as many king-size mattresses are sold as twin-size mattresses. We can express that as:

P_K=3P_T\\\\P_K-3P_T=0

Finally, we know that the sum of probablities has to be 1, or 100%.

P_Q+P_K+P_T=1

We can solve this by sustitution:

P_K=3P_T\\\\4P_Q=P_K+P_T=3P_T+P_T=4P_T\\\\P_Q=P_T\\\\\\P_Q+P_K+P_T=1\\\\P_T+3P_T+P_T=1\\\\5P_T=1\\\\P_T=0.2\\\\\\P_Q=P_T=0.2\\\\P_K=3P_T=3\cdot0.2=0.6

Now we know the probabilities of each of the matress types.

The probability that the next matress sold is either king or queen-size is:

P_K+P_Q=0.6+0.2=0.8

8 0
3 years ago
Factor x^2+ 5x + 6<br> pleaseee
alekssr [168]

Answer:

( x + 2 ) ( x  +3 )

6 0
3 years ago
Read 2 more answers
30 points if u give the right answers for all of them and brainliest!! plz plz plz help due in 15 mins for me time!!!
vazorg [7]

Answer:

2. 48 for both

3. 18 for both

4: 18 for both

5: 36 for both

6: 175 for both

7: 36 for both

Step-by-step explanation: the number of cubes and volume is the same. V=length x width x height

8 0
3 years ago
Read 2 more answers
2x+3b = x-b solve for b
steposvetlana [31]

b= -1/4 x

Step-by-step explanation:

2x+3b=x−b

Step 1: Add b to both sides.

3b+2x+b=−b+x+b

4b+2x=x

Step 2: Add -2x to both sides.

4b+2x+−2x=x+−2x

4b=−x

Step 3: Divide both sides by 4.

4b/4 = -x/4

b= -1/4 x

6 0
3 years ago
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