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3 years ago

10

now has a book that is 3.6 meters long he cuts the Rope into two pieces one piece is 1.925 meters long how long is the other pie

ce of the

2 answers:

love history [14]3 years ago

7 0

If you take 3.6-1.925 it gives you the answer of 1.675

Kamila [148]3 years ago

6 0

The answer is 1.675 because when u subtract 3.6 from 1.925 it gives you 1.675

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A blender costs $18 to make and sells for $21.60. find the markup rate.

RSB [31]

$21.60 - $18.00 = $3.60

$3.60 : $18.00 = 0.2

0.2 · 100% = 20%

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3 years ago

kayden paddled a canoe to an island. the island is 8 miles from the shore. his trip to the island took two hours while paddling

Andrew [12]

Answer:

$2\text{ mph}$

Step-by-step explanation:

GIVEN: kayden paddled a canoe to an island. the island is $8$ miles from the shore. his trip to the island took two hours while paddling against the current. he paddles $6$ mph with no current.

TO FIND: what was the speed of the current.

SOLUTION:

distance of island from the shore $=8$ miles

total time taken by Kayden $=2$ hours

speed of Kayden in still water $=6\text{ mph}$

Let the speed of current be $x$

Speed of Kayden against current $=6-x\text{ mph}$

As,

$\text{Time}=\frac{\text{Distance}}{\text{speed}}$

$2=\frac{8}{6-x}$

$12-2x=8$

$x=2\text{ mph}$

Hence speed of current is $2\text{ mph}$

7 0

3 years ago

Michael can type 4 pages of his term paper in 30 minutes. How long will it take him to type the paper if it has 14 pages?

Stella [2.4K]

Answer:

105 minutes

Step-by-step explanation:

we know that

Michael can type 4 pages of his term paper in 30 minutes

so

using proportion

Find out how long will it take him to type the paper if it has 14 pages

$\frac{30}{4}\frac{min}{pages}=\frac{x}{14}\frac{min}{pages}\\\\x=30*14/4\\ \\x=105\ min$

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3 years ago

Simplify the expression by factoring, showing the steps in your work.

alexdok [17]

Given:

$$\frac{12 x^{2}+31 x+7}{16 x^{2}+8 x+1}$

To find:

The simplified expression by factoring.

Solution:

Let us factor the numerator:

$12 x^{2}+31 x+7$

31x can be written as 3x + 28x.

$=\left(12 x^{2}+3 x\right)+(28 x+7)$

Take 3x common in 1st two terms and 7 common in next two terms.

$=3 x(4 x+1)+7(4 x+1)$

Make sure the remaining terms in the both brackets must be same.

Now, take out common factor (4x + 1).

$=(4 x+1)(3 x+7)$

In the same way, factorize the denominator:

$16 x^{2}+8 x+1$

8x can be written as 4x + 4x.

$=(16 x^{2}+4 x)+(4x+1)$

Take 4x common in 1st two terms and 1 common in next two terms.

$=4x(4 x+1)+1(4x+1)$

Make sure the remaining terms in the both brackets must be same.

Now, take out common factor (4x + 1).

$=(4x+1)(4x+1)$

Substitute the terms we found for numerator and denominator:

$$\frac{12 x^{2}+31 x+7}{16 x^{2}+8 x+1}=\frac{(4 x+1)(3 x+7)}{(4 x+1)(4 x+1)}$

Cancel the common factors.

$$=\frac{3 x+7}{4 x+1}$

The simplified expression is $\frac{3 x+7}{4 x+1}$ .

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3 years ago

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sweet-ann [11.9K]

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3 years ago