Answer:
Let x= number of games bowled.
Amount spent at Vista Bowl=2+3.5x
Amount spent at Pinz Bowl=5+3.25x
Setting these two equations equal to each other and solving for x will give you the number of games you can bowl to make the cost the same:
2+3.5x=5+3.25x setting equations equal
3.5x-3.25x=5-2 combining like terms
0.25x=3 simplify
(1/4)x=3 changing decimal into a fraction
x=(3)(4) multiply both sides by 4 to isolate the x
x=12 answer
Step-by-step explanation:
Answer:
16 packages of muffins
Step-by-step explanation:
1) First you need to find out how many muffins you need total. If each person has two muffins and there are 48 people, how muffins would that be? To find out, multiply 48 and 2 together.
48 * 2 = 96
So now we know that we must have 96 muffins in total
2) Now we have to find out how many muffin packages we will need. If there are 6 muffins in each package and we need to have 96 muffins in total, how many packages will we need? To find out, divide 96 by 6.
96/6 = 16
From this we know that you will need 16 packages
Answer:
3, 8, 12, 12, 14, 20, 21, 23, 26, 34
stem leaf
0 3 8
1 2 2 4 (you have 12,12,14)
2 0 1 3 6 ( numbers 20,21,23,26)
3 4 ( number 34)
First, we are going to find the vertex of our quadratic. Remember that to find the vertex

of a quadratic equation of the form

, we use the vertex formula

, and then, we evaluate our equation at

to find

.
We now from our quadratic that

and

, so lets use our formula:




Now we can evaluate our quadratic at 8 to find

:




So the vertex of our function is (8,-72)
Next, we are going to use the vertex to rewrite our quadratic equation:



The x-coordinate of the minimum will be the x-coordinate of the vertex; in other words: 8.
We can conclude that:
The rewritten equation is

The x-coordinate of the minimum is 8
Answer:
4,301,970
5,149,815
Step-by-step explanation:
The cost of a bicycle is 2895
Therefore the cost of 1486 bicycles is
= 2895×1486
= 4,301,970
A truck can carry 6785 kg of food
Therefore the amount in which 759 truckj can carry can be calculated as follows
= 6785×759
= 5,149,815