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SpyIntel [72]
3 years ago
9

a contractor buys 8.2 square feet of sheet metal. she used 2.1 square feet so far and has 183 worth of sheet metal remaning writ

e and solve an equation to find out how much sheet metal cost per square foot
Mathematics
1 answer:
Kamila [148]3 years ago
7 0

Answer:


Step-by-step explanation:

8.2 - 2.1 = 6.1

$183 / 6.1 = $30 for one sq. ft.

Just to make sure:

8.2 × $30 = $246

$246 / 8.2 = $30

So the contractor originally had 8.2 sq ft of metal and it was worth 246 so to find how much it cost you have to divide 8.2 and 246 which is 30 per sq ft.



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The product of two consecutive positive integers is 29 more than their sum. Find the integers
Rina8888 [55]
The consecutive positive integers would be: x and (x+1),
We would have to solve the following equation to find these numbers:
x(x+1)-[x+(x+1)]=29
x²+x-2x-1=29
x²-x-30=0
x=[1⁺₋√(1+120)]/2
x=(1⁺₋11)/2
We have two possible solutions:
x₁=(1-11)/2=-5    then: (x+1)=-5+1=-4  This is not the solution.
x₂=(1+11)/2=6    then: (x+1)=6+1=7    This solution is right.

Answer: the numbers would be 6 and 7. 
7 0
3 years ago
Samantha has $24 but she wants a pair of Jordan's that are $112. She does chores and she gets paid $5 for each chore. If she doe
natita [175]

Answer:

Check step-by-step.

Step-by-step explanation:

Okay, so. She gets 5 dollars and she does 15 chores. You would multiply it.

5 * 15 = $75

Then you would subtract 112 and 75.

112 - 75 = 37.

She will get $75. Then, she will need to gather $37

6 0
3 years ago
Janet’s car insurance payment decreases by $20 each year. Which expressions represent the total change in her payment,in dollars
Liono4ka [1.6K]

Answer:

Option C is the correct answer.

C.  5•(-20)

Step-by-step explanation:

We are told that the insurance payment for the car follows a certain pattern that can be represented through an expression. The payment is decreasing by $20 every year. As we don't know the total payment amount per period, so we cannot calculate how much is paid per period/year for insurance but we can calculate the rate at which this payment is decreasing.

Change in payment = t * (-20)

The above expressions can be used to calculate the amount of change in payment i payment is decreasing by a constant $20 every year, after t years.

So, if we want to calculate the change in payment after say 5 years, we can replace t with 5 in the equation and calculate the change,

Change in payment = 5 * (-20)

Change in payment = - $100

4 0
3 years ago
Type the correct answers out, thank you - 20 POINTS
nadezda [96]
AB and BC form a right angle at their point of intersection. This means AB is perpendicular to BC.

We are given the coordinates of points A and B, using which we can find the equation of the line for AB.

Slope of AB will be:

m= \frac{-1-1}{14-2}=-1/6

Using this slope and the point (2,1) we can write the equation for AB as:

y-1= \frac{-1}{6}(x-2) \\  \\ 
y= -\frac{1}{6}x+ \frac{1}{3}+1 \\  \\ 
y=-\frac{1}{6}x+ \frac{4}{3} 


The above equation is in slope intercept form. Thus the y-intercept of AB is 4/3.

Slope of AB is -1/6, so slope of BC would be 6. Using the slope 6 and coordinates of the point B, we can write the equation of BC as:

y - 1 = 6(x - 2)
y = 6x - 12 + 1
y = 6x - 11

Point C lies on the line  y = 6x - 11. So if the y-coordinate of C is 13, we can write:

13 = 6x - 11
24 = 6x
x = 4

The x-coordinate of point C will be 4.

Therefore, the answers in correct order are:

4/3 ,  6,  -11,  4
8 0
3 years ago
26/100 in simple form
shepuryov [24]
Is .26 as it shows in the picture I hope this helps

8 0
4 years ago
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