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Answer:
a type nut is 10 pounds
a different one is 14 pounds
Step-by-step explanation:
let a type of the nut be represented by t
Let a different one be represented by d
a type of nut cost $7 per pound
a different one cost $4.20 per pound
The cost of the mixture for 24 pounds = 5.37 * 24
= $128.88
t + d = 24 ........(1)
7t + 4.2d = 128.88 ..........(2)
From equation (1), t = 24 - d
Put t = 24 - d in equation 2
7(24 - d) + 4.2d = 128.88
168 - 7d + 4.2d = 128.88
168 - 2.8d = 128.88
-2.8d = 128.88 - 168
-2.8d = -39.12
d = -39.12 / -2.8
d= 13.97
d = 14 pounds
t = 24 - d
t = 24 - 14
t = 10 pounds
A type nut is 10 pounds. A different one is 14 pounds
Step-by-step explanation:
take the right triangle
15^2 = 9^2 + x^2
225 = 81 + x^2
x = 12
area of square b = 144
Answer:
{x,y} = {19/12,5/6}
Step-by-step explanation:
Answer:
135°
Step-by-step Explanation:
==>Given:
An inscribed quadrilateral ABCD with,
m<A = (3x +6)°
m<C = (x + 2)°
==>Required:
measure of angle A
==>Solution:
First, let's find the value of x.
Recall that the opposite angles in any inscribed quadrilateral in a circle are supplementary.
Therefore, this means m<A + m<C = 180°
Thus, (3x+6) + (x+2} = 180
3x + 6 + x + 2 = 180
Collect like terms:
3x + x + 6 + 2 = 180
4x + 8 = 180
Subtract 8 from both sides:
4x + 8 - 8 = 180 - 8
4x = 172
Divide both sides by 4:
4x/4 = 172/4
x = 43
We can now find m<A = (3x + 6)°
m<A = 3(43) + 6
= 129 + 6
measure of angle A = 135°