Quick algebra 1 question for 10 points!
1 answer:
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Answer:
D
Step-by-step explanation:
Using the Sine rule in Δ QRS , that is
=
, that is
=
( cross- multiply )
12× sinQ = 15 × sin50.1° ( divide both sides by 12 )
sinQ = , thus
Q = (
) ≈ 73.5° ( to the nearest tenth )
Well, we are starting with 100 servings, and we're trying to find the amount of ingredients necessary to create 25 servings. To do this, we must first simply divide 25 by 100 to see what the ratio would be, and when we do this, we can see that
25 / 100 =
= 
Now, all we have to do is multiply all of the ingredients by the ratio to find out how much we would use for only a quarter of the amount that the original recipe calls for.
In order to multiply by a whole number by a fraction, you just need to make sure that the numerator is lined up with the whole number, and then put a 1 below the whole number to turn it into a fraction. Then, you can divide the numerators and denominators together, respectively.
1.) 100 * = 
= 
= 
= 25
2.) 72 * = 
=
= 
= 18
3.) 14 * = 
= 
= 
= 3 
4.) 6 * = 
= 
= 
= <span>1 </span>
5.) 24 * = 
= 
= 
= 6
6.) 80 * = <span>
= 
= 
= <span>20</span>
</span>7.) 50 * = 
= 
= 
= 12
And there you have the recipe ingredients necessary for 25 servings.
Hope that helped! =)
25 / 100 =
Now, all we have to do is multiply all of the ingredients by the ratio to find out how much we would use for only a quarter of the amount that the original recipe calls for.
In order to multiply by a whole number by a fraction, you just need to make sure that the numerator is lined up with the whole number, and then put a 1 below the whole number to turn it into a fraction. Then, you can divide the numerators and denominators together, respectively.
1.) 100 *
2.) 72 *
3.) 14 *
4.) 6 *
5.) 24 *
6.) 80 *
</span>7.) 50 *
And there you have the recipe ingredients necessary for 25 servings.
Hope that helped! =)
The volume of a box like this is found by multiplying the length times the width times the height. We are told that the length is 8 more inches than the width, so the width is w and the length is w + 8. If we cut away 3 square inches from each corner, the height when we fold up those corners is going to be 3. The volume is given as 27, so our formula looks like this: 
. When we do that multiplication, we have 
. We need to solve for w so we can then solve for h. Move the 27 over and set the quadratic equal to 0. 
. We can then factor out a 3 to make the job easier: 
. Now we can factor to solve for w. The 2 numbers that add up to 8 and multiply to -9 are 9 and -1. So (w+9) = 0, (w-1) = 0, or 3 = 0. Of course 3 doesn't equal 0, so that's out. w + 9 = 0 so w = -9. w - 1 = 0 so w = 1. There are 2 things in math that can never EVER be negative and those are time and distance/length. So -9 is out. That means that w = 1. But don't forget that there was 6 inches cut off each side, so the width is 1 + 3 + 3 which is 7. The length is w + 8 which means that the length is 7 + 8 or 15. Those are the dimensions of the rectangle before it was cut.