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Leya [2.2K]
3 years ago
9

Find the Factors of 84.

Mathematics
2 answers:
polet [3.4K]3 years ago
7 0
84 is a composite number. 84 = 1 x 84, 2 x 42, 3 x 28, 4 x 21, 6 x 14, or 7 x 12.
Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
Kryger [21]3 years ago
7 0

Factors means the numbers which can divide 84 completely
So all factor of 84 are
1,2,3,4,6,7,12,14,21,28,42,84

And the prime factorization can be shown as
84=2*2*3*7

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the graph shows your budget and the total cost of x gallons of gasoline and a car wash you want to determine the possible amount
Yuki888 [10]

Answer:

Part a) The budget is $40

Part b) The cost of one gallon of gasoline is $3.55 and the cost of the car wash is $8

Part c) x \leq 9.01\ gal

Part d) see the explanation

Step-by-step explanation:

The complete question in the attached figure

Part a) What is your budget?  

The budget is given by the equation

y=40

therefore

The budget is $40

Part b)  How much does a gallon of gasoline cost? how much does a car wash cost?

Let

y ------> the cost of a gallon of gasoline plus the cost of a car wash

x -----> the amount of gasoline in gallons

we have

y=3.55x+8

In this problem

For x=0

y=3.55(0)+8=8

The y-intercept is the cost of the car wash

so

The cost of the car wash is $8

Find the cost of one gallon of gasoline

we know that

The slope of the linear equation is

m=$3.55 per gallon

therefore

The cost of one gallon of gasoline is $3.55

Part c) Write an inequality that represent the possible amounts of gasoline you can buy

we have

3.55x+8 \leq 40

Solve for x

3.55x \leq 40-8

3.55x \leq 32

x \leq 9.01\ gal

Part d) Use the graph to estimate the solution of the inequality in part c)

we have the system

y=40

y=3.55x+8

The solution of the system is the intersection point both graphs

Looking at the graph the intersection point is about (9,40)

That means ----> The maximum amount of gasoline you can buy with the budget is about 9 gallons

7 0
3 years ago
A store sells a box of high liters that contains 4 yellow, 3 blue, 2 pink, and 1 green high liter. What is the probability of ra
Iteru [2.4K]
There are 10 in total
3/10 x 2/9 = 6/90
Reduce
1/15
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3 years ago
What is the circumference of a circle<br> with a diameter of 4?<br> Type in your response.
Marta_Voda [28]

Answer:

12.57

Step-by-step explanation:

hope this helps

5 0
3 years ago
Read 2 more answers
55. (a) If alpha and beta are the roots of the equation xsquare+ px+q=0 and beta&gt;alpha find the square of the
densk [106]

Answer:

√(p²-4q)

Step-by-step explanation:

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x = ( -p ± √(p²-4q)) / 2

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= √(p²-4q)

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I believe it would be 6 ounces
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