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2 years ago

Select all of the following that are equivalent to 1/8

Mathematics

1 answer:

kykrilka [37]2 years ago

6 0

Answer:

4/8: 1/2 or/and 50%

2/8: 1/4 or/and 25%

6/8: 3/4 or/and 75%

Hope this helps!

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Part A: Marguerite rented a truck at $125 for 2 days. If she rents the same truck for 5 days, she has to pay a total rent of $27

SOVA2 [1]

Part A: To get an equation into standard form to represent the total amount rented (y) that Marguerite has to pay for renting the truck for x amount of days, we use the formula for the equation of a straight line.

Remember that the equation of a straight line passing through points is ( x_{1} , y_{1} ) and the points ( x_{2} , y_{2} ) is given by
y - y_{1} / x - x_{1} = y - y_{2} / x - x_{2}

Knowing that Marguerite rented a truck at $125 for 2 days, we know if she rents the exact same truck for 5 days, she has to pay a total of $275 for the rent.

This means that the line modeling this situation crosses points at (2, 125) and (5, 275).

The equation modeling the total rent (y) that Marguerite has to pay for renting the truck for x days is given by

y - 125 / x - 2 = 275 - 125 / 5 - 2 = 150 / 3 = 50

But if you are writing the equation in standard form it would be 

50x - y = -25

Part B:
When writing the function using function notation it means you are making y the subject of the formula and then replacing the y with f(x).

If you remember that from part A, we have that the equation for the total rent which is y that Marguerite has to pay for renting the truck for x amount of days is given by
y = 50x + 25.

Writing the equation using the function notation would give us this
f(x) = 50x + 25

Part C:
To graph the function, we name the x-axis the number of days and name the y-axis total rent. The x-axis is numbered using the intervals of 1 while the y-axis is numbered using the intervals of 50.
The points of (2,125) and of (5,275) are marked on the coordinate axis and a straight line is drawn to pass through these two points.

6 0

3 years ago

(4x + 8x - 5) + (3x2 + 6x - 7)

ch4aika [34]

Answer:

7x^2 + 14x - 12

Step-by-step explanation:

Add like terms:

(4x + 8x - 5) + (3x2 + 6x - 7) becomes:

4x^2 + 8x - 5 or (grouping like terms in columns):

+ 3x^2 + 6x - 7

---------------------

7x^2 + 14x - 12

5 0

3 years ago

If you need 192 beads to make a necklace and bracelet and it takes 5 times more beads to make necklace than bracelet. How many b

Rasek [7]

192 = total beads

necklace + bracelet = 192

Let x equal the number of beads

bracelet = 5x
necklace = x

5x + x = 192

6x = 192

x = 32

It takes 32 beads to make a necklace

3 0

2 years ago

Gage skated 1 hr 15 min each day for 5 days and 1 hr 30 min each day for 3 days. How many minutes would he have to skate the nin

ruslelena [56]

Answer:help

Step-by-step explanation:

Help

3 0

3 years ago

Read 2 more answers

A set of 25 two digit numbers are listed below 10,17,20,23,24,28,32,39,42,25,26,52,55,58,61,65,66,72,75,78,79,85,94,97,98. What

eimsori [14]

Answer:

0.48

Step-by-step explanation:

Given the data:

10,17,20,23,24,28,32,39,42,25,26,52,55,58,61,65,66,72,75,78,79,85,94,97,98

Sum of each of the numbers :

1, 8, 2, 5, 6, 10, 6, 12, 6, 7, 8, 7, 20, 13, 7, 11, 12, 9, 12, 15, 16, 13, 13, 16, 17

Probability that sum of the number's digit is odd:

Number of odd sum / total numbers

Number of odd sum = 12

Total numbers = 25

12 / 25

= 0.48

3 0

2 years ago