Question 2 of 20, Step 1 of 1

bearhunter [10]

(r + 10)(r - 4)

To double check:
r * r is r^2

10 * r = 10r; -4 * r = -4r
Combine to get 6r.

-4 * 10 = -40

3 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

Chapters: 1.Integers

SCORPION-xisa [38]

Answer:

a) -12

b) -4

c)-2

Step-by-step explanation:

a) pattern is minus 5

b) pattern is minus 8

c) pattern is plus 4

4 0

3 years ago

At camp last summer, the ratio of boys to girls was 5:4. If there was a total of 90 campers, how many girl campers are there? ex

LekaFEV [45]

Answer:

40 girls

Step-by-step explanation:

if you multiply 5 times 10, then you have to multiply the other side by 10 too. So 5 times 10 equals 50, and 4 times 10 equals 40.

40+50+=90.

4 0

3 years ago

Oliver has a bag that contains pineapple chews, lemon chews, and peach chews. He performs an experiment. Oliver randomly removes

Shtirlitz [24]

The probability that the next chew Oliver removes from the bag will be peach chew as a percent to the nearest whole number will be 13%.

<h3>What is probability?</h3>

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

Oliver has a bag that contains pineapple chews, lemon chews, and peach chews.

He performs an experiment.

Oliver randomly removes a chew from the bag, records the result, and returns the chew to the bag.

Oliver performs the experiment 23 times.

The results are shown below:

A pineapple chew was selected 17 times.

A lemon chew was selected 4 times.

A peach chew was selected 2 times.

Then the probability that the next chew Oliver removes from the bag will be peach chew as a percent to the nearest whole number will be

Total event = 24 times

Favorable event = 3 times

Then we have

P = 3 / 24 x 100

P = 0.125 x 100

P = 12.5%

P ≅ 13%

More about the probability link is given below.

brainly.com/question/795909

#SPJ1

8 0

1 year ago