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3 years ago

The value of y is inversely proportional to the value of x. When y=42, x=6.

1 answer:

4 0

Because $x$ and $y$ are inversely proportional, there is some constant $k$ such that

$xy=k$

Given that $y=42$ and $x=6$ , we have

$k=6\times42=252$

So when $x=9$ , you have

$9y=252\implies y=\dfrac{252}9=28$

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The ratio of boys to girls in a group is 5:1. If there are 60 more boys than girls, work out how many people there are in total

REY [17]

Answer:

Step-by-step explanation:

5+1=6

5-1=4

4/6 = 60

6/6 = ?

6/6 x 60 x 6/4

= 75 people

4 0

3 years ago

Which equation shows the correct use of the Distributive Property? −4(3/2x−1/2)=−15

hjlf

Answer:

x=2.833

Step-by-step explanation:

−4(3/2x−1/2)=−15

-4(3/2x)-4(-1/2)= -15

-2(3x)+2=-15

-6x=-15-2

-6x = -17

x= -17/-6

x=2.833

5 0

3 years ago

Given f(x) = x3 – 2x2 – x + 2, the roots of f(x)

anyanavicka [17]

f(x) = x³ – 2x² – x + 2

0 = x3 – 2x2 – x + 2

(x-2)(x-1)(x+1)=0

x1=-1

x2=1

x3=2

5 0

3 years ago

Read 2 more answers

Write the ratio 28 inches to 5 feet as a fraction in simplest form

Schach [20]

5 feet is 5*12=60 inches. Therefore, our ratio is 28:60. Dividing both terms by 4, we see that the most simple ratio is 7:15.

6 0

3 years ago

The L.L. Bean men’s cotton chambray shirt comes in the following colors: blue, stone, rust, green, plum, and indigo. In addition

bulgar [2K]

Answer:

60 types of cotton chambray shirts can be produced

Step-by-step explanation:

The shirt comes in the following colors: blue, stone, rust, green, plum, and indigo

Number of colors the shirt comes in = 6

The shirt comes in the following sizes: small (S), medium (M), large (L), extra large (XL), and extra extra large (XXL)

Number of sizes the shirt comes in = 5

The shirt comes in the following styles: short sleeves or long sleeves

Number of styles the shirt comes in = 2

Total number of cotton chambray shirts that can be produced are:

No. of colors * No. of sizes * No. of styles

6 * 5 * 2

60 shirts

So, 60 types of cotton chambray shirts can be produced from the given options of colors, sizes and styles.

7 0

3 years ago