1. Any number above 13 works. Why? Because 20-7=13, and to be greater than 20, you must add a number larger than 13.
Examples: 14+7 > 20, 30+7 > 20, 100+7 > 20
2. Any number below 25/3 (which is also 8.3 with a repeating 3) works. Why? Because 25/3=8.3 with a repeating 3, and to remain less than 25, you must multiply by a number less than 8.3 with a repeating 3.
Examples: 3(8) < 25, 3(5) < 25, 3(0) < 25
3. 4 buses. 1 bus will hold 60 students, 2 will hold 120, 3 will hold 180, and 4 will hold 240. The question is trying to trick you into putting now 3.3333333333... buses because that's what 200/60 is, but there is no such thing as a third of a bus. So you need at least 4 buses. (There will be an extra 40 spaces for passengers on the 4th bus, but that is okay.)
To find this answer I did 200/60 and got 3.3 with a repeating 3. You must round to the higher whole number. Rounding down to 3 buses leaves you with 20 students without a bus.
4. 19 boxes. 18 boxes will only hold 288 candies. The question is trying to trick you into putting down 18.75 boxes because that's what 300/16 is, but there is no such thing as 75% of a box. So you need at least 19 boxes. (There will be an extra 4 spaces for candies in the 19th box, but that is okay.)
To find this answer I did 300/16 and got 18.75. You must round to the higher whole <span>number. Rounding down to 18 boxes leaves you with 12 candies without a box.</span>
Answer:
The other number is 2 if the given number is 15.
Step-by-step explanation:
One of the numbers is 15, correct?
Let the other number be x.
15 × x = 30
x = 30/15
x = 2.
Let's check:
15 × 2 = 30.
30 = 30.
Correct!
Answer:
72
Step-by-step explanation:
A full rotation takes 360°. From the picture, it would take 5 rotations to achieve such full degree rotation. Hence, each bit of rotation covers 360°÷5=72°
The isosceles trapezoid is part of an isosceles triangle with a 34 degree vertex angle. The measure of an acute base angle of the trapezoid is 73 degrees.
Answer:
The complete question is:
Which expression below gives the average rate of change of the function g(x)= -x^2 - 4x on the interval 6 < x < 8
When we have a function f(x), the average rate of change of this function in the interval a < x < b is given by:
![r = \frac{f(b) - f(a)}{b - a}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7Bf%28b%29%20-%20f%28a%29%7D%7Bb%20-%20a%7D)
Then if we have the function g(x) = -x^2 - 4x
and we want to find the average rate of change in the interval 6 < x < 8 we need to compute:
![r = \frac{g(8) - g(6)}{8 - 6} = \frac{(-(8^2) - 4*8) - (-(6)^2 - 4*6)}{2} = \frac{-96 - (-60)}{2} = \frac{-36}{2} = -18](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7Bg%288%29%20-%20g%286%29%7D%7B8%20-%206%7D%20%3D%20%5Cfrac%7B%28-%288%5E2%29%20-%204%2A8%29%20-%20%28-%286%29%5E2%20-%204%2A6%29%7D%7B2%7D%20%3D%20%5Cfrac%7B-96%20-%20%28-60%29%7D%7B2%7D%20%20%3D%20%5Cfrac%7B-36%7D%7B2%7D%20%3D%20-18)