Given :
Kiara spent $28 on 4 ribbons and 5 balloons.
Sarah spent $28 on 8 ribbons and 3 balloons.
To Find :
The cost of each ribbon and each balloon.
Solution :
Let, cost of each ribbon is x and balloon is y.
For situation 1 :
4x + 5y = 28 ...1)
For situation 2 :
8x + 3y = 28 ...2)
Multiplying equation 1) by 2 and subtracting equation 2) by it :
2( 4x + 5y ) - ( 8x + 3y ) = 2 × 28 - 28
10y - 3y = 28
y = 4
Putting value of y in equation 1) , we get :
Therefore, the cost of each ribbon and each balloon is $2 and $4 respectively.
First set up the equation based on the description.
x + 16 = 3x
Use subtraction to get the "x"s on one side of the equation. You can next subtract <span>
x from both sides.
16 = </span>
<span> x
Now you can multiply both sides of the equation by </span>
<span> to solve for x
x = 6</span>
1 km = 1000 m
1 h = 3600 s
75 km/h
75 *1000 m / 3600 s
75 * 5 m / 18 s
25 * 5 m / 6 s
125 m / 6 s
20.8 m/s
answer is c.
Answer:
Exact Form: −e12
Decimal Form: −0.22652348…
Step-by-step explanation:
Answer: Choice C (empty set)
The first thing to do is subtract 7 from both sides
|x| + 7 < 4
|x| + 7 - 7 < 4 - 7
|x| < -3
Recall that absolute value represents distance on a number line. Saying |x| is less than -3 means the distance is smaller than -3, which is impossible. Anything smaller than -3 is also negative. Distance can never be negative.
That leads us to the empty set as the solution. There are no values we can plug into any of the inequalities above, to have them lead to true statements.
Writing the special symbol 
is one way to represent the empty set. Another way is to write curly braces only with nothing inside them like so: { }, so its a set with nothing inside it more or less.
