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guajiro [1.7K]
2 years ago
8

Franklin's office just started a new recycling program this year. They aim to recycle 7 kilograms of paper each week. Write an e

quation that shows the relationship between the number of weeks Franklin's office is on the recycling program, x, and the total number of kilograms of paper recycled, y
Mathematics
2 answers:
Akimi4 [234]2 years ago
5 0

Answer:

7x=y

Step-by-step explanation:

7x=y

7 times x(#of weeks)= y (paper recycled)

Sati [7]2 years ago
3 0

Answer:

7x=y

Step-by-step explanation:

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Eliminate the arbitrary constant in the equation of xsiny+x^2(y)
vladimir1956 [14]

Answer:

siny2

Step-by-step explanation:

8 0
3 years ago
20 feet of ribbon, cutting ribbon into 7 1/2 inches or 6 3/4 inch lengths to make bracelets. Write an algebraic expression that
IRINA_888 [86]

<u>ANSWER:  </u>

The algebraic expression for number of ribbons is \frac{20 \text { feet }-\left\{\frac{20 \text { feet }}{x}\right\}}{x} and the algebraic expression for length of ribbon is \frac{25 x}{3} \text { feet }

<u>SOLUTION: </u>

Given, 20 feet of ribbon, cutting ribbon into 7\frac{1}{2} inches or 6\frac{3}{4} inch lengths to make bracelets.

Let us convert the mixed fraction to improper fractions.

7 \frac{1}{2}=\frac{7 \times 2+1}{2}=\frac{15}{2} \text { and } 6 \frac{3}{4}=\frac{6 \times 4+3}{4}=\frac{27}{4}

Let, the length of bracelets can be made be “x”

First we have to remove the excess length of ribbon and then we have to divide the remaining with length of bracelet we want.

\text { number of ribbons }=\frac{\text { length of ribbon-excess ribbon.}}{\text {length of bracelet}}

\left.=\frac{20 \text { feet }-\left\{\frac{20 \text { feep }}{x}\right.}{x} \text { [we know that, }\{x\} \text { is fractional part of } x\right ]

So, the algebraic expression for number of ribbons is  \frac{20 \text { feet }-\left\{\frac{20 \text { feet }}{x}\right\}}{x}

Now, let us find the algebraic expression for feet of ribbon to make 100 ribbons.

We have 100 bracelets of length x, then total length = 100 × x

length of ribbon = 100x inches

\begin{array}{l}{=100 \mathrm{x} \times \frac{1}{12} \text { feet }} \\\\ {=\frac{25 x}{3} \text { feet }}\end{array}

So, the algebraic expression for length of ribbon is \frac{25 x}{3} \text { feet }

Hence, the algebraic expression for number of ribbons is  \frac{20 \text { feet }-\left\{\frac{20 \text { feet }}{x}\right\}}{x} and the algebraic expression for length of ribbon is \frac{25 x}{3} \text { feet }

5 0
3 years ago
The area of a regular hexagon is 14.96 cm2. What is the perimeter of the hexagon? A. 1.2 space c m B. 1.2 square root of 3 space
victus00 [196]

Answer:

14.4 cm

Step-by-step explanation:

The formula for the area of a regular hexagon in terms of its side length s is ...

... A = (3√3)/2·s²

Then the side length is ...

... s = √(2A/(3√3))

and the perimeter is ...

... P = 6s = √(8A√3)

For your area, this is ...

... P = √(8·14.96·√3) ≈ √207.292 ≈ 14.4 . . . . cm

7 0
3 years ago
Read 2 more answers
Evaluate the expression to find out how much she will pay if she drives 100 miles.<br> 250 + 0.80m
zmey [24]
We plug 100 miles into 0.80. 250 + 0.80(100) is 250 + 80. 250 + 80 is 330.
7 0
2 years ago
The cooler at a picnic contained 4 apple juice boxes, 8 orange juice boxes, and 6 fruit punch juice boxes. A juice box is select
Mandarinka [93]

Answer:

5/9

Step-by-step explanation:

complement means not choosing an orange  

P( not choosing orange) = (apple and fruit) / total

                                          = (4+6) / (4+6+8)

                                          =10/18

                                           = 5/9

8 0
3 years ago
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