One the first problem on finding the constant of <span> proportionality in this situation the answer is 2. Below is the solution:
constant = unit rate
unit rate = $2/ poung
K = 2
For the second question, the equation is the below:
T = 2p or y = 2x</span>
Answer:
a. We need 1/4 for each feeder
b. To fill each feeder we need 1.25 pounds
c. We need 60 ounces to fill three bird feeders
Step-by-step explanation:
Five pounds of birdseed is used to fill 4 identical bird feeders,
a. We divide all the birdseed in 4 feeders, so, we need 1/4 for each feeder.
b. If we use 5 pounds for the 4 feeders, so each feeders will take 1/4 of the 5 pounds
=1/4 x 5=1.25 pounds
c. To fill three bird feeders we have to multiply the amount of pounds by feeder by 3 feeders
=1.25 pounds x 3
= 3,75 pounds
If 16 ounces are a pound
so, 16 x 3.75 = 60 ounces
Answer: 12.6
Step-by-step explanation:
No, -8 - 2(3 + 2n) + 7n is not equivalent to -30 - 13n
Step-by-step explanation:
Let us revise the operation of the negative and positive numbers
- (-) + (-) = (-)
- (-) × (-) = (+)
- (-) + (+) = the sign of greatest [(-) if the greatest is (-) or (+) if the greatest is (+)]
- (-) × (+) = (-)
- (-) - (+) = (-)
- (+) - (-) = (+)
∵ The expression is -8 - 2(3 + 2n) + 7n
- Simplify it
∵ 2(3 + 2n) = 2(3) + 2(2n) = 6 + 4n
∴ -8 - 2(3 + 2n) + 7n = -8 - (6 + 4n) + 7n
- Multiply the bracket by (-)
∴ -8 - (6 + 4n) + 7n = -8 - 6 - 4n + 7n
- Add the like terms
∴ -8 - (6 + 4n) + 7n = (-8 - 6) - 4n + 7n
∴ -8 - (6 + 4n) + 7n = -14 + 3n
∴ -8 - 2(3 + 2n) + 7n is equivalent to -14 + 3n
∵ -14 + 3n ≠ -30 - 13n
∴ -8 - 2(3 + 2n) + 7n is not equivalent to -30 - 13n
No, -8 - 2(3 + 2n) + 7n is not equivalent to -30 - 13n
Learn more:
You can learn more about the directed numbers in brainly.com/question/10364988
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Answer:
The measure of the angles are 72 degrees and 18 degrees
Step-by-step explanation:
we know that
If two angles are complementary, then their sum is equal to 90 degrees
Let
x -----> the measure of an angle
y-----> the measure of he other angle
we know that
x+y=90 -----> y=90-x -----> equation A
x=y+54 ----> equation B
substitute equation B in equation A and solve for y
y=90-(y+54)
y=90-y-54
2y=36
y=18°
Find the value of x
x=y+54 -----> x=18+54=72°
therefore
The measure of the angles are 72 degrees and 18 degrees