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3 years ago

a machine can reduce 21 inches of ribbon every 3 minutes. How many feet of ribbon can the machine make in one hour?

1 answer:

3 0

Okay. Let's make a proportion for this. So we can do 21/3=x/60. Let's multiply cross way. So 21 x 60 is 1260. We multiply 3 by x to get 3x. So our equation will be 3x=1260. We can isolate the equation by 3, and 1260 divided by 3 is 420. So x=420. We then have to convert into feet. So 420 divided by 12 is 35. So it would be 35 feet. Therefore, the machine can make 35feet of ribbon in a hour.

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Kate begins solving the equation StartFraction 2 Over 3 EndFraction left-parenthesis 6 x minus 3 right-parenthesis equals StartF

mixas84 [53]

Answer:

<h3>The best interpretation of this equation 4x=3x is that the equation has no solution</h3>

Step-by-step explanation:

Given that Kate begins solving the equation

$\frac{2}{3}(6x-3)=\frac{1}{2}(6x-4)$

<h3>To find the best interpretation of the given equation :</h3><h3>Katie's steps are</h3>

$\frac{2}{3}(6x-3)=\frac{1}{2}(6x-4)$
$\frac{2}{3}(3(2x-1))=\frac{1}{2}((2(3x-4))$
$2(2x-1)=1(3x-2)$
$2(2x)+2(-1)=1(3x)+1(-2)$
$4x-2=3x-2$

When she adds 2 to both sides, the equation becomes

4x-2+2=3x-2+2
4x=3x

Therefore $4\neq 3$

<h3>Therefore the given equation has no solution </h3><h3>The best interpretation of this equation 4x=3x is that the equation has no solution.</h3><h3>Therefore the option no solution is correct</h3>

8 0

3 years ago

Read 2 more answers

A special discount was offered to the employees of Ryan's, a lead ing men's store. Employees were given their employee discount

Helen [10]

Answer: a) $2155, b) $1763.03.

Step-by-step explanation:

Since we have given that

Number of cable knit sweaters = 15

Cost per sweaters = $65.00

Number of pairs of khaki twill pants = 22

Cost of each pair = $50.00

Number of casual jackets = 18

Cost of each jackets = $62.00

total sale volume would be

$15\times 65+22\times 50+18\times 62\\\\=\$3191$

Employee discount = 35%

Additional discount = 15%

So, Total markdown dollars taken is given by

$3191\times \dfrac{100-35}{100}\times \dfrac{100-15}{100}\\\\=3191\times \dfrac{65}{100}\times \dfrac{85}{100}\\\\=3191\times 0.65\times 0.85\\\\=\$1763.0275$

Hence, a) $2155, b) $1763.03.

4 0

3 years ago

What is the slope of this line? y=4x+6

ruslelena [56]

Answer:

The slope is 4

Step-by-step explanation:

So the formula is y=mx+b. M is the slope and b would be your y intercept. So the slope is 4. (I just did this in class)

7 0

3 years ago

The lengths of two sides of a triangle are 5 inches and 16 inches find the range of possible lengths for the third side

Gnoma [55]

Ok well you would use pathagorean there so A2+B2=C2

7 0

3 years ago

Ayala biked 12.76 miles on Sunday, 3.45 miles on Monday, and 6.52 miles on Tuesday. Over those three days, about how many miles

agasfer [191]

Answer:

23 miles

Step-by-step explanation:

12.76=13

3.45=3

6.52=7

13+3+7=23

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3 years ago

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