The answer is D: rectangle
Let
Y be the age of Franco's dad.
X Franco's age
Y = 3*X (1)
(Y +10) = 2*(X+10) +2 (2)
(3*X +10) = 2*X +20 +2
(3-2)X = 22 -10
X = 12 years old (Franco)
Y = 3*12 = 36 years old (Franco's dad)
Step-by-step explanation:
You need to find the total number of students the pie chart will represent:
17 + 35 + 38 = 90
So you know, 360° represents 90 people
You can then find out the angle for each person: 360 ÷ 90 = 4
Each person is 4°
a)
1. 17 people took French so you would do 4° × 17 = 68°
2. 35 people took German so you would do 4° × 35 = 140°
3. 38 people took Italian so you would do 4° × 38 = 152°
b)
17 out of 90 people chose french so the probability would be 17/90
Convert to a mixed number:
239/42
Divide 239 by 42:
4 | 2 | 2 | 3 | 9
42 goes into 239 at most 5 times:
| | | | 5
4 | 2 | 2 | 3 | 9
| - | 2 | 1 | 0
| | | 2 | 9
Read off the results. The quotient is the number at the top and the remainder is the number at the bottom:
| | | | 5 | (quotient)
4 | 2 | 2 | 3 | 9 |
| - | 2 | 1 | 0 |
| | | 2 | 9 | (remainder)
The quotient of 239/42 is 5 with remainder 29, so:
Answer: 5 29/42
Answer:
<h3> C. y + 7 = -7(x - 3)</h3>
Step-by-step explanation:
The equation of a line is:
y - y₀ = m(x - x₀)
where <em>m</em> is the slope and <em>(x₀, y₀)</em> is the point which the line passes through
The product of slopes of two perpendicular lines is -1
so if given lines slope is ¹/₇ them:
¹/₇·m = -1
m = -7
(3, -7) ⇒ x₀ = 3, y₀ = -7
Therefore:
y - (-7) = -7(x - 3)
<u> </u><u>y + 7 = -7(x - 3) </u>
