The line does not represent a direct variation because it does not go through the origin.
Answer:
x + y = 162 and x = 2y - 6
Step-by-step explanation:
Let the total wins be x
Let the total loss be y
If a baseball team's total wins and losses for one season is 162, this can be expressed as;
x + y = 162 ....... 1
If the number of wins is 6 less than 2 times the number of losses, this is expressed as;
2 times the number of losses = 2y
6 less than 2 times the number of losses = 2y - 6
Now, If the number of wins is 6 less than 2 times the number of losses this is expressed as;
x = 2y - 6 .... 2
Hence the required system of equation are;
x + y = 162 and x = 2y - 6
Volume of cylinder= pi x (radius)2 x height
= 3.14 x (2)2 x 5
=62.8 cubic cm
Emma is now 24 years old then Ben would be 2E, or 48 years old.
<h3>What is a system of equations?</h3>
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Let B and E be Ben's and Emma's current ages, respectively.
We have given that;
Ben's age is currently twice of his sister, Emma.
B = 2E
and
8 years ago, Ben's age was 2 and a half times that of Emma's age
B-8 = 2.5(E-8)
We can substitute the value of B from the first equation into the last one
B-8 = 2.5(E-8)
(2E)-8 = 2.5(E-8)
2E-8 = 2.5E- 20
-0.5E = -12
E = 24
Thus, Emma is now 24 years old then Ben would be 2E, or 48 years old.
Learn more about equations here;
brainly.com/question/10413253
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Answer:
No, he does not have enough
Step-by-step explanation:
To decorate each cupcake, Henry needs 3 walnuts. Each package has 27 walnuts. With each cupcake needing 3 walnuts, Henry can decorate 9 cupcakes in one package. He has 5 packages which means he can decorate 9*5=45 cupcakes. However, he is making 4 dozens which is 4*12=48. He will not have enough.
