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3 years ago

What is the greatest common factor of 8x and 40?

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

3 0

Answer:5

Step-by-step explanation:

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Jackie and Rachel both worked during last summer and made $960 each. Rachel worked 16 hours more than Jackie, but Rachel earned

Pavel [41]

Answer:

The number of hours Jackie worked = 80hours

Step-by-step explanation:

Last summer:

Jackie made $960

Rachel made $960

let number of hours Jackie worked = x

Rachel worked 16 hours more than Jackie:

Number of hours Rachel worked = x + 16

if Jackie earned $y per hour

Rachel earned $2 less per hour = y-2

Jackie: 960 = x × y = xy

Rachel: 960 = (x+16)(y-2)

960 = xy -2x +16y -32

recall xy = 960, insert the value for xy

960 = 960 - 2x +16y -32

- 2x +16y -32 = 0

2x -16y = -32

x-8y = -16

x = 8y-16

recall xy = 960, insert the expression for x

(8y-16)y = 960

8y² -16y = 960

y² -2y - 120 = 0

y²+10y-12y -120 = 0

y(y+10) -12(y+10) = 0

(y-12) = 0 or (y+10) = 0

y = 12 or -10

since y can't be negative, y = 12

x = 8y-16

x = 8(12) -16 = 80

The number of hours Jackie worked = x = 80 hours

7 0

3 years ago

At a picnic there were 3 times as many adults as children and twice as many women as men. If there was a total of x men, women,

Dennis_Churaev [7]

Answer:

$\dfrac{x}{4}$

C is correct.

Step-by-step explanation:

At a picnic,

Number of adults is 3 times as number of children.

Number of women is twice as number of men.

Total number of men, women and children at the picnic be x

Let number of children be c

Let number of men be m

Let number of women be w

# Number of women is twice as number of men, w = 2m

# Number of adults is 3 times as number of children, w + m = 3c

2m + m = 3c (∴ w=2m )

c = m

Total number of men, women and children at the picnic be x

∵ c + m + w = x

m + m + 2m = x

4m = x

Number of men, $m=\dfrac{x}{4}$

Hence, The total number of men will be $\dfrac{x}{4}$

5 0

3 years ago

Write a linear function f with the values f (0) = 5 and f(2) = -3 please help

Gelneren [198K]

Answer:

f(x) = 2x - 5

Step-by-step explanation:

3 0

2 years ago

Estimate the probability that an Earthbound meteorite either disintegrates above or impacts with a body of water. Round to the n

Ad libitum [116K]

Answer:

0.71 is the answer

Step-by-step explanation:

Answered on edu

5 0

3 years ago

Analyze the diagram below Need CORRECT ANSWER BELOW!!!

Zarrin [17]

Answer:

D. 8

Step-by-step explanation:

The given diagram is a trapezium. We know that the consective sides of a trapezium are equal. so,

Putting the values of consecutive sides equal:

So, KI will be equal to LI

3x-7 = x+3

$3x-7-x=x+3-x\\2x-7=3\\2x-7+7=3+7\\2x=10\\x=5$

Putting the value of x in the equation of KI

3x-7

=3(5)-7

=15-7

Hence, the correct answer is D. 8 ..

6 0

3 years ago