Answer:
A. 11160 cubes B. 1395cm^3
Step-by-step explanation:
Volume= length x width x height
Its easiest to solve B. first and use it to solve A.
B. 7.5 x 12 x 15.5 = 1395cm^3 (volume of prism)
A. .5 x .5 x .5 = 1/8cm^3 (which is the volume of the cube)
1395 ÷ 1/8 = 11160
Answer:
Step-by-step explanation:
You have to use the discriminant for this. If the quadratic is
, then
a = -4, b = -3, and c = 7. The formula for finding the discriminant is
which comes from the quadratic formula, but without the square root sign. Filling in:
which simplifies down to
D = 9 + 112 so
D = 121. This is a perfect square, so the solutions will be 2 real. Just so you know, you will NEVER have a solution like the one offered in the third choice down. If you have one imaginary root, you will ALWAYS have a second by the conjugate rule.
Tan = o/a and = 3/4 so the opposite is 3 and the adjacent is 4
Answer:
C. 128ft
Step-by-step explanation:
it's C because whenever it says and you're supposed to multiply always remember that :) = (which means area ofc) you're finding the so you multiply 16x8 and the you get your answer (: ignore the 640 you just focus on the 16 and 8 ok? 16x8=128! :))
<em /><em> </em><em /><em /><em /><em /><em /><em /><em /><em> </em><em /><em /><em /><em /><em> </em><em /><em /><em> </em><em /><em /><em /><em /><em /><em /><em> </em><em /><em /><em /><em /><em /><em> </em><em /><em /><em> </em><em /><em /><em> </em><em /><em /><em /><em> </em><em /><em /><em /><em> </em><em /><em /><em> </em><em /><em /><em /><em /><em /><em> </em><em /><em /><em /><em /><em> </em><em /><em /><em /><em /><em /><em /><em /><em> </em><em /><em /><em> </em><em /><em /><em /><em /><em /><em> </em><em /><em /><em /><em /><em /><em /><em /><em /><em /><em> </em><em> </em><em>></em><em>:</em><em>(</em>
Answer: 35 additional teachers are needed
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Explanation:
We have 2470 students and the ratio of students to teachers is 26:1. This means that for every teacher, there are 26 students. Put another way, we can set up this ratio
2470/x = 26/1
where x is the number of teachers. Cross multiply and solve for x
2470/x = 26/1
2470*1 = 26*x
2470 = 26x
26x = 2470
26x/26 = 2470/26
x = 95
So we have 95 teachers currently
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Let y be the new number of teachers needed to bring the ratio down to 19:1
Using a similar idea as done above, we would have this ratio
2470/y = 19/1
Let's solve for y
2470/y = 19/1
2470*1 = 19*y
2470 = 19y
19y = 2470
19y/19 = 2470/19
y = 130
So we'll need 130 teachers to have the ratio be 19:1
The difference of the values is y - x = 130 - 95 = 35, which is the final answer. This is the additional amount of teachers needed.