a. The expression y=5x represent the number of small marbles she has.
b. The expression z=3x+2 represents the number of large marbles she has.
c. Amy has 310 small marbles, 62 medium marbles and 188 large marbles.
Step-by-step explanation:
a. Let x represent the number of medium marbles Amy has. Write an algebraic expression to represent the number of small marbles she has.
Medium marbles = x
Let,
Small marbles = y
According to given statement;
She has five times as many small marbles as medium marbles.
y = 5x Eqn 1
The expression y=5x represent the number of small marbles she has.
b. Write an algebraic expression to represent the number of large marbles she has.
Let,
Large marbles = z
The number of large marbles is two more than three times the number of medium marbles.
z = 3x+2 Eqn 2
The expression z=3x+2 represents the number of large marbles she has.
c. If Amy has a total of 560 marbles, how many of each size does she have?
x+y+z= 560 Eqn 3
Putting value of y and z from Eqn 1 and 2 in Eqn 3
Dividing both sides by 9
Putting x=62 in Eqn 1
Putting x=62 in Eqn 2
Amy has 310 small marbles, 62 medium marbles and 188 large marbles.
Keywords: linear equation, substitution method
Learn more about substitution method at:
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Answer:
The cost of each drink is $1.5
Step-by-step explanation:
Let us represent
The cost of snacks = x
The cost of drinks = y
50 snacks and 180 drinks will sell for $320
Hence:
50x + 180y = 320....... Equation 1
75 snacks and 100 drinks will sell for $225.
Hence:
75x + 100y = 225....... Equation 2
Combining both Equations together
50x + 180y = 320....... Equation 1
75x + 100y = 225....... Equation 2
Multiply Equation 1 by 75 and Equation 2 by 50 to eliminate x
3750x + 13500y = 24000..... Equation 3
3750x + 5000y = 11250....... Equation 4
Subtract Equation 4 from Equation 3
8500y = 12750
y = 12750/8500
y = $1.5
Therefore, the cost of each drink is $1.5
Answer:
the answer is D
the inverse should be -20x/x-1
and thank you i didnt know that the of f(x)=x⁵
is ⁵√x
(~￣³￣)~
Answer: v <= 1
Step-by-step explanation:
When you have a variable by a number, you do the opposite of multiplying, so you divide
Since there's only 14v you divide 14 from itself leaving just the variable
14 ÷ 14 = 1
You repeat this and divide on the other side
14 ÷ 14 = 1
Since you arent dividing by a negative on both sides, the arrow stays the same
v <= 1
Hope this helps!
Answer:
The Career Tributes
5 miles from where she fell, in a pond.
A Cannon Boom
A sheet of plastic, a loaf of bread and an orange backpack containing numerous things that will help her survive.
The girl who made a fire underneath Katniss.
Step-by-step explanation:
I love the hunger games
Hope this helps :)
