3 consecutive even numbers : x, x + 2, x + 4
x + x + 2 + x + 4 = 90
3x + 6 = 90
3x = 90 - 6
3x = 84
x = 84/3
x = 28...thats gonna be the smallest
x + 2 = 28 + 2 = 30
x + 4 = 28 + 4 = 32
3
step by step explanation:
3-1 = 2
Answer:
The rule is: y = -10x+85
Step-by-step explanation:
The rule is given by:
Here m is the gradient and b is the y-intercept.
We have to take two pairs of input-output to find the rule
Let the two pairs be:
(x1,y1) = (1,75)
(x2,y2) = (2,65)
Slope is found using the formula:
Putting the values
Putting the value of slope
Putting a pair of input-output in the equation (1,75)
Putting the value of b
Hence,
The rule is: y = -10x+85
A quart contains 2 pints, so 150 pints is equal to 300 quarts. Therefore 150 quarts is bigger
We can use elimination for these set of systems.
First, we need to set up our variables.
Belts=b
Hats=h
Now, the situation is 6 belts and 8 hats for $140. The situation after is 9 belts and 6 hats for $132.
Let’s set up our system of equations.
6b+8h=140
9b+6h=132
We need to eliminate a variable. Since b has coefficients of 6 and 9, we can easily eliminate b by multiplying the top equation by 3 and the bottom by -2.
18b+24h=420
-18b-12h=-264
Now let’s add.
12h=156
Let’s divide to get h by itself.
156/12=13=h
So a hat costs $13. We need to put in 13 for one of the equations so we can find the cost of a belt.
9b+6(13)=132
9b+78=132
We need b by itself.
9b=54
54/9=6
Belts are $6
We can also use the first equation to check our answers.
6(6)+8(13)
36+104
140.
So, the price of a belt is $6 while the price of a hat is $13.
