Answer:
Step-by-step explanation:
Let number of large pizzas be l and number of small be s.
<u>Then we have equations:</u>
- l + s = 100
- 16l + 11s = 1550
<u>From the first equation, we get l = 100 - s and substitute in the second equation:</u>
- 16(100 - s) + 11s = 1550
- 1600 - 16s + 11s = 1550
- 5s = 1600 - 1550
- 5s = 50
- s = 10
Number of small pizzas is 10
Answer:
m∠RQS = 72°
m∠TQS = 83°
Step-by-step explanation:
m∠RQS +m ∠TQS = m∠RQT
The two angles combine to make a larger angle
So
m∠RQS = (4x - 20)
m∠TQS = (3x + 14)
(4x - 20) + (3x + 14) = 155
Group the Xs and the constants
4x + 3x - 20 + 14 = 155
Combine like terms
7x - 6 = 155
Add 6 to both sides
7x = 161
Divide by 7 on both sides
x = 23
Check:
4(23) - 20 + 3(23) + 14 = 155
92 - 20 + 69 + 14 = 155
155 = 155
But we need to find m∠RQS and m∠TQS. So plug in x = 23 to the values.
m∠RQS = 4(23) - 20 = 72°
m∠TQS = 3(23) + 14 = 83°
Checking:
72 + 83 = 155
2 5/8 divided by 3
(2*8)+5/8 divided by 3
16+5/8 divided by 3
(3*7/2^3)(1/3)
3*7/2^3*3
7/2^3
7/8
each friend would get 7/8
Answer:
y = x - 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Here m = 1 and b = - 12 , thus
y = x - 12 ← equation of line
20 Cubic Inches^3.
Explanation:
The volume of a cone is Pi*R^2*H*1/3
We know the height, but we are given the diameter instead of radius. So divide 5.625 by 2. You get 2.8125.
Plug everything into the formula.
Pi*2.8125^2*7.5*1/3
(The ^2 means squared, or to the second power)
You get a number close to 20. Since we don’t know Pi, and we are not given a substitute for Pi, we make the answer in terms of Pi.
20 Cubic Inches^3.
Also, people who don’t know the answers to questions shouldn’t just put a random answer for the points. It’s unfair.
