Answer:
x= -1
Step-by-step explanation:
<u><em>START</em></u> 29 - 6x = 5(1 - 6x)
1. Distribute
29 - 6x = 5 - 30x
2. Isolate the variable
~ <u>2a</u>. Add 30x to both sides
29 - 6x + 30x = 5 - 30x + 30x
~ <u>2b</u>. Subtract 29 from both sides
29 - 29 - 6x + 30x = 5 - 29 - 30x + 30x
3. Simplify
24x = -24
4. Solve
x = -1
<em><u>END</u></em>
Answer & Step-by-step explanation:
When we see the phrase "rate of change" then it means that we are looking for the slope. So, we will need to know the formula for finding slope or the rate of change.
Now, let's use this equation to solve for the rate of change of each question.
<u>Problem 1:</u>
<em>The rate of change of this equation is 2/3</em>
<u>Problem 2:</u>
<u></u>
<u></u>
<em>The rate of change for this equation is 2</em>
<u>Problem 3:</u>
<u></u>
<u></u>
<em>The rate of change for this equation is 6</em>
Mean - add up all of the scores, and divide it by the number of members:
68 + 62 + 60 + 64 + 70 + 66 + 72 = 462
462 / 7 = 66
ANSWER: The mean is 66
Median - write out all the numbers in order, and select the middle value:
60, 62, 64, 66, 68, 70, 72
ANSWER: As you can see, 66 is the middle value.
Midrange - find the mean (average) of the smallest and largest number:
Largest number: 72
Smallest number: 60
Midrange: 72 + 60 = 132
132 / 2 = 66
ANSWER: So the midrange is 66
Answer:
2.25c + 1.75p ≤ 28
1.25c + 2.125p ≤ 30
Step-by-step explanation:
Write a system of two inequalities to model loaves of bread and
cake that can be baked.
let
number of cornbread loaves = c
number of poppy-seed blueberry Cake loaves = p
corn bread
cups of flour = 2 1/4 = 2.25
teaspoon of baking soda = 1 1/4 = 1.25
One loaf of poppy-seed blueberry cake
cups of flour = 1 3/4 = 1.75
teaspoons of baking soda = 2 1/8 = 2.125
The bakery has 28 cups of flour and 30 teaspoons of baking soda in stock.
Quantity of flour to use
c(2.25) + p(1.75)
Quantity of baking soda to use
c(1.25) + p(2.125)
The inequality is
c(2.25) + p(1.75) ≤ 28
c(1.25) + p(2.125) ≤ 30
Alternatively,
2.25c + 1.75p ≤ 28
1.25c + 2.125p ≤ 30
