Answer:
Step-by-step explanation:
we know that
To find out how many frames she can make with the exiting material, divide 1 5/8 by 3/4
so
Convert mixed number to an improper fraction
substitute
Simplify
Convert to mixed number
Question is linked, i need this solved within 20 minutes. Question theme: Inverse proportion.
1 answer:
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Step 1. Type it into a Google search box or calculator. (You need to use a calculator anyway.) The result is 3177 4/9.
If you're doing this according to the Order of Operations, you do the multiplication and division left to right. This means the first calculation you do is
255/6 = 42.5
Next, you multiply by 672
42.5*672 = 28560
Then divide by 9
28560/9 = 3173 3/9
You continue by doing the division
37/9 = 4 1/9
And finish by adding the two results
3173 3/9 + 4 1/9 = 3174 4/9
_____
If you're doing this by hand, you can recognize the first term as the product of two fractions, so is the product of numerators divided by the product of denominators.
(255*672)/(6*9)
Using your knowledge of divisibility rules, you can do the division 672/6 to simplify this to
(255*112)/9
Now, the first term and the second term have the same denominator, so you can add the numerators before you do the division.
(255*112 + 37)/9 = (28560 + 37)/9 = 28597/9
You end up having to do only two simple divisions, rather than 3 of them.
28597/9 = 3177 4/9
If you're doing this according to the Order of Operations, you do the multiplication and division left to right. This means the first calculation you do is
255/6 = 42.5
Next, you multiply by 672
42.5*672 = 28560
Then divide by 9
28560/9 = 3173 3/9
You continue by doing the division
37/9 = 4 1/9
And finish by adding the two results
3173 3/9 + 4 1/9 = 3174 4/9
_____
If you're doing this by hand, you can recognize the first term as the product of two fractions, so is the product of numerators divided by the product of denominators.
(255*672)/(6*9)
Using your knowledge of divisibility rules, you can do the division 672/6 to simplify this to
(255*112)/9
Now, the first term and the second term have the same denominator, so you can add the numerators before you do the division.
(255*112 + 37)/9 = (28560 + 37)/9 = 28597/9
You end up having to do only two simple divisions, rather than 3 of them.
28597/9 = 3177 4/9
Question 1:
All sides of an equilateral triangle are equal.
7x - 5 = 3x + 15
Add both sides by 5 and subtract both sides by 3x
4x = 20
x = 5
(Whoa! Watch out for the first choice! We're looking for the length of a side, not the value of x)
Plug x = 5 into 3x + 15.
You get 30. All the sides have a length of 30 in.
The last choice is your answer.
Question 2:
Draw it (or just look at the image).
I'm a terrible artist.
Angle CAB = Angle ACB
Angle CAB + Angle ACB + Angle ABC = 180
2 * Angle CAB + Angle ABC = 180
2x - 6 + 4x - 3 = 180
6x = 189
x = 31.5
(Again! Watch out! We're not looking for the value of x!)
Angle CAB = Angle ACB = x -3 = 31.5 - 3 = 28.5
The first choice is your answer.
Question 3:
The second choice is your answer.
There's not much explanation... That's what it's called.
Have an awesome day! :)
All sides of an equilateral triangle are equal.
7x - 5 = 3x + 15
Add both sides by 5 and subtract both sides by 3x
4x = 20
x = 5
(Whoa! Watch out for the first choice! We're looking for the length of a side, not the value of x)
Plug x = 5 into 3x + 15.
You get 30. All the sides have a length of 30 in.
The last choice is your answer.
Question 2:
Draw it (or just look at the image).
I'm a terrible artist.
Angle CAB = Angle ACB
Angle CAB + Angle ACB + Angle ABC = 180
2 * Angle CAB + Angle ABC = 180
2x - 6 + 4x - 3 = 180
6x = 189
x = 31.5
(Again! Watch out! We're not looking for the value of x!)
Angle CAB = Angle ACB = x -3 = 31.5 - 3 = 28.5
The first choice is your answer.
Question 3:
The second choice is your answer.
There's not much explanation... That's what it's called.
Have an awesome day! :)