40,000 pounds are equal to 20 tons
Answer:
x = 4
y = 6
z = 5
Step-by-step explanation:
Let
bags of pecans = x
bags of walnuts = y
bags of almonds = z
x + y + z = 15
3x + 3.5y + 4z = 53
Two more bags of walnuts were sold than pecans.
Walnuts = x + 2
x + y + z = 15
3x + 3.5y + 4z = 53
x + x + 2 + z = 15
3x + 3.5(x+2) + 4z = 53
2x + z = 15 - 2
3x + 3.5x + 7 + 4z = 53
2x + z = 13 (1)
6.5x + 4z = 46 (2)
Multiply (1) by 4
8x + 4z = 52 (3)
6.5x + 4z = 46 (2)
Subtract (2) from (3)
8x - 6.5x = 52 - 46
1.5x = 6
Divide both sides by 1.5
x = 4 bags
y = x + 2
= 4 + 2
= 6
y = 6 bags
Substitute the value of x into (1)
2x + z = 13 (1)
2(4) + z = 13
8 + z = 13
z = 13 - 8
= 5
z = 5 bags
Check:
x + y + z = 15
4 + 6 + 5 = 15
Answer:
f^-1 (9) = 7 equals f = 9/7
Step-by-step explanation:
f^-1 x 9 = 7, f ≠ 0
1/f x 9 = 7
9/f = 7
9 = 7f
7f = 9
1 and 5/8 i would guess but is the pizza in 12th or is it just 8th's
Answer:
Option C. 110 degrees
Step-by-step explanation:
In this problem I assume that FD is a diameter
so
arc FP+arc PD=180° ----> because the diameter divide the circle into two equal parts
step 1
Find the measure of arc FP
we know that
The inscribed angle is half that of the arc it comprises.
m<FEP=35°
m<FEP=(1/2)(arc FP)
substitute the values
35°=(1/2)(arc FP)
arc FP=70°
step 2
Find the measure of arc PD
arc FP+arc PD=180°
70°+arc PD=180°
arc PD=180°- 70°=110°