<h3>
Answers:</h3>
Variation Constant: k = 7/6
y = 245/6 when x = 7 and z = 5
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Explanation:
"y varies jointly as x and z" means that y = kxz
We have (x,y,z) = (4,14,3) as one triple, so,
y = kxz
14 = k*4*3
14 = 12k
12k = 14
k = 14/12
k = 7/6 is the variation constant
The equation goes from y = kxz to y = (7/6)xz
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Plug in x = 7 and z = 5 to find y
y = (7/6)xz
y = (7/6)*7*5
y = (7/6)*(7/1)*(5/1)
y = (7*7*5)/(6*1*1)
y = 245/6
Answer:
∠ O = 61°, ∠ N = 119°
Step-by-step explanation:
In a parallelogram
Consecutive angles are supplementary
Opposite angles are congruent, thus
x + 2x - 3 = 180
3x - 3 = 180 ( add 3 to both sides )
3x = 183 ( divide both sides by 3 )
x = 61°
Thus
∠ O = ∠ M = x = 61°
∠ N = ∠ P = 2x - 3 = 2(61) - 3 = 122 - 3 = 119°
Answer:
<u>The correct answer is B. 9</u>
Step-by-step explanation:
Let's solve for y in the equation below, given that x = 2
y = 6x - 3
Substituting x in the equation, this way:
y = 6 * 2 - 3
y = 12 - 3
y = 9
The value of y is 9 when x is 2
<u>The correct answer is B. 9</u>
Answer: 20 apples, because if you say 8 apples=$4, then that means 2 apples =$1, so $10=20 apples
Step-by-step explanation:
Answer:
I cannot help without a picture, so please send one if you can?
Step-by-step explanation:
