For this case, the first thing we are going to do is define variables.
We have then:
x: number of birthday party goozy bags
y: total weight
We then have the following equation:
y = 150x + 200
For y = 6200 we have:
6200 = 150x + 200
Clearing x:
x = (6200-200) / (150)
x = 40
Answer:
there are 40 goody bags inside the box
Answer:
$173493.8
Step-by-step explanation:
Data provided in the question:
LSRL for the data is ? = 3.8785x + 18.3538
Here,
x is area in 100 square feet
and
price in thousands of dollar
Thus,
For the given area 4000 square foot
x = 4000 ÷ 100 = 40 [Area in 100 square feet]
Therefore,
Using the given equation
Price = 3.8785(40) + 18.3538
or
Price = 173.4938 in thousands of dollar
or
Price = 173.4938 × $1000
Price = $173493.8
Answer:
×=36
Step-by-step explanation:
46+1/6X-21=31
25+1/6X=31
1/6X=31-25
1/6X=6
X=36
Answer:
m∠1 = 107 degrees
m∠2 = 73 degrees
Step-by-step explanation:
1. ∠1 and the angle with 107 degrees are corresponding angles, which are located in the same relative position. They're congruent in measures, so m∠1 = 107 degrees.
2. ∠1 and ∠2 are a linear pair, meaning their angle measures add up to 180 degrees. Given m∠1 = 107 degrees, we just have to subtract 107 from 180 to get m∠2.
Therefore, m∠2 = 73 degrees.
Answer:
- x = 0 or 1
- x = ±i/4
- x = -5 (twice)
Step-by-step explanation:
Factoring is aided by having the equations in standard form. The first step in each case is to put the equations in that form. The zero product property tells you that a product is zero when a factor is zero. The solutions are the values of x that make the factors zero.
1. x^2 -x = 0
x(x -1) = 0 . . . . . x = 0 or 1
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2. 16x^2 +1 = 0
This is the "difference of squares" ...
(4x)^2 - (i)^2 = 0
(4x -i)(4x +i) = 0 . . . . . x = -i/4 or i/4 (zeros are complex)
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3. x^2 +10x +25 = 0
(x +5)(x +5) = 0 . . . . . x = -5 with multiplicity 2