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inysia [295]
3 years ago
6

During his vacation, Dalyn rents a small boat from a rental service that charges a flat fee of $30 plus $10 per hour (including

taxes). The total charge comes to $90. Which equation can be used to calculate the number of hours,
Mathematics
1 answer:
dexar [7]3 years ago
7 0

Answer:

10x + 30 = 90

Step-by-step explanation:

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FIND THE equation of the linear function represented by the table below in slope intercept form
DaniilM [7]

Answer:

y= -2x - 1

Step-by-step explanation:

Take two of the points given by the data in the table.

Using the x-values 1 and 2, they have a y-value of -3 and -5, respectively.

Therefore, we can write these out as coordinate points: (1, -3) and (2, -5).

The equation to find the slope of a line is:

  • \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Substitute these points into this formula to find the slope of this linear function.

  • \displaystyle m= \frac{-5-(-3)}{2-1}

Simplify and solve for the slope m.

  • \displaystyle m=\frac{-2}{1} =-2

The slope of this linear function is -2. Now, we can use this slope and substitute it into the point-slope equation along with another one of the points on the function.

Point-slope equation:

  • y-y_1=m(x-x_1)

Substitute m = -2 and the point (1, -3) into this equation.

  • y-(-3)=-2(x-1)

Simplify this equation and put it into slope-intercept form: y=mx+b.

  • y+3=-2x+2
  • y=-2x-1

The equation of the linear function represented by the table is y = -2x - 1.

4 0
3 years ago
Read 2 more answers
Team Jake gets 4 questions correct. Use the expression 7x - 30 to find Team Jake's total score.
Zanzabum

Answer:

2x+2y    

Step-by-step explanation:

Is a number that can be dividened evenly by itself and by 1 not by any other number

8 0
2 years ago
Aldo takes classes at both Westside Community College and Pinewood Community College. At Westside, class fees are $98 per credit
stealth61 [152]

Let Y = total cost of both schools.

The total cost would be ( number of credits at Westside x 98) + (number of credits at Pinewood x 115).

The total number of credits he is taking is 14.

If w is the number of credits at Westside, then for Westside you have 98w ( $98 times the number of credit hours)

The equation is now y = 98w +  (number of credits at Pinewood x 115).

The number of credit hours at Pinewood would be the total credit  hours 14 minus the credit hours at Westside w, so you have 14-w, which needs to be multiplied by the cost at Pinewood.

The equation is now y = 98w + 115(14-w)

This can be simplified using the distributive property to:

Y = 98w + 1610 - 115w

Y = -17w + 1610

6 0
4 years ago
Mina asked four friends to explain how each one solved the expression . Here are their explanations:
Fed [463]

Ok let me answer this question by finding it's solution first.

The two numbers are 15.75 and 176.3

First we will compare the numbers.

1. A=176.3

2. B=15.75

one's place of A is greater than once place of B.

tens place of A is greater than tens place of B.

Hundred place of A is greater than hundred place of B.

So, A>B

So  we will subtract 15.75 from 176.3.

176.30 -15.75=

176.30     ----A

- 1 5.75     ----B

Hundreths place of A - Hundreths place of B =  0-5=10-5=5

Tenth place of A  - Tenth place of B =12-7=5

ones place of A - ones place of B=5-5=0

Tens place of A - Tens place of B =7-1=6

Leave 1 as it is.

So the solution is 160.55

Now coming back to the Explanation by four friends of Mina

Ivy’s explanation: I lined up the numbers to subtract. [As i have explained above you have to find first which number is bigger , then first you must write bigger number then if the bigger number has  only tenth place value mark hundred place as 0 and then start subtracting from Right to left.]

Hannah’s explanation: I lined up the two decimals according to place value. I put a 0 in the hundredths place to make it easier for me to subtract.   [ As i said above first you have to choose which number is bigger then you can proceed as you have done.]

Jose’s explanation: I lined up the two decimals according to place value   [ Jose you have made same mistake, first find which number is bigger then line up the number according to their place value, write the bigger number first then start subtracting as i have explained above.]

An’s explanation: I counted up from 15.75 to 176.3 to find the difference. I underlined each number I added on each line.   [ Too lengthy and very time consuming. Use the method as i have explined above.]




6 0
4 years ago
Solve the equation 4(c-3)-8
____ [38]

Answer:

Step-by-step explanation:

6 0
3 years ago
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