MATHEMATICS MIDDLE SCHOOL

The total cost C (in dollars) to participate in a ski club is given by the literal equation C=85x+60, where x is the number of ski trips you take.a. Solve the equation for x.

b. How many ski trips do you take if you spend a total of $315? $485?

Answers

Answer 1
Answer:

Answer:

a. x = (C — 60) / 85

bi. 3

bii. 5

Step-by-step explanation:

a. C = 85x + 60

C — 60 = 85x

x = (C — 60) / 85

bi. When C = $315,

x = (C — 60) / 85

x = (315 — 60) / 85

x = 225/ 85

x = 3

bii. When C = $485

x = (C — 60) / 85

x = (485 — 60) / 85

x = 425/ 85

x = 5

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Write two multiplication equations using fractions and mixed numbers. Write one equation that will have a product greater than the first factor. Then write another equation that will have a product less than the first factor.

The table shows a linear relationship between x and y What is the rate of change of y with respect to x?

Answers

We have been given a table that shows a linear relationship between x and y. We are asked to find the rate of change change of y with respect to x.

To solve our given problem, we will find the slope of the line passing through the given points.

m=(y_2-y_1)/(x_2-x_1)

Let us find slope of line using points (-20,96) and (-2,15).

m=(15-96)/(-2-(-20))

m=(-81)/(-2+20)

m=(-81)/(18)

m=-4.5

Therefore, the rate of change of y with respect to x is -4.5.

Final answer:

In a linear relationship, the rate of change is constant and represents how much the dependent variable changes for every unit increase in the independent variable. To find the rate of change, calculate the slope of the line.

Explanation:

In a linear relationship, the rate of change is constant. It represents how much the dependent variable (y) changes for every unit increase in the independent variable (x).

To find the rate of change, you can calculate the slope of the linear relationship. The slope is determined by taking the difference in the y-coordinates divided by the difference in the x-coordinates between two points on the line.

For example, if the table shows that for every increase of 2 units in x, y increases by 3 units, then the rate of change of y with respect to x is 3/2.

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What is 1.16 rounded to the nearest tenths?

Answers

1.16 rounded to its nearest tenths is 1.2.

What is place value?

The placevalue of a number is given as:

Example:

1234.567

1 = thousand place value

2 = hundred place value

3 = tens place value

4 = ones place value

5 = tenths place value

6 = hundredths place value

7 thousandths place value

We have,

1.16

The number 1 after the decimal point is in the tenthplacevalue.

Now,

Since 6 is greaterthan 5 tenth place value will be rounded to the next number.

So,

1.16 rounded to the nearest tenths.

= 1.2

Thus,

1.16 rounded to its nearest tenths is 1.2.

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The answer is 1.2

You want to round to the tenths, and the tenths spot is taken by a 1.
So, you use the 6 (in the hundredths spot) and since it is over 5, you boost it up.
The 1 will now become a 2, so the answer is 1.2.
A helpful phrase I use is “five or above, give it a shove. Four or below, keep it low.”
:) hope i helped :)

I really need some help it's hard to understand!

Answers

C you just add them divide by 2

Answer:

460

Step-by-step explanation

surface area is when you find the area of all the sides and add them together.

top:  12 x 10 = 120

botton: 12 x 10 = 120

front: 10 x 5 = 50

back: 10 x 5 = 50

left: 5 x 12 = 60

right: 5 x 12 = 60

460

What is greater 0.086 or 86%

Answers

86% because 0.086 equates ti 8.6%
86% is greater because 0.086 isn't a whole number while 86% is.

two savings accounts each start with a $200 principal and have interest rate of 5%. One account earns simple interest and the other is compound annually. Which account will earn more interest over 10 years? How much more?

Answers

Formula for Simple Interest: I = PRT 

P = Principal
R = Interest rate per time period in decimal
T = number of time periods

Now you just substitute: 200 x 0.05x 10 = $100 interest

Formula for Compound Interest: A = P(1 + r)^n

A = Final amount to which investment grows 
P = Principal
r= interest rate per period as decimal
n= number of corresponding periods

Substitute: 200(1 + 0.05)^10 = $325.80 (rounded)

Now compare and the compound interest earns more by $225.80

Answer:

Step-by-step explanation:

you would add $220 and 5%

After you get your answer you should get 1185

A table costs $350 there us also a sale tax of 7% how many does the table cost include sales tax

Answers

$374.5 get it by dividing 350 and 7 and then add what you got to 350
Look at picture. Answer highlighted....
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