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lys-0071 [83]
3 years ago
14

A contractor bought 7.6 ft2 of sheet metal. She has used 3.5 ft2 so far and has ​$123 worth of sheet metal remaining. The equati

on 7.6x−3.5x=123 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square​ foot?
Mathematics
1 answer:
Sergio039 [100]3 years ago
5 0

Answer:

Sheet metal remaining = 4.1x

cost per square​ foot of sheet metal = $30

Step-by-step explanation:

Total sheet metal bought = 7.6 ft2

Total sheet metal used = 3.5 ft2

Given equation:

7.6x − 3.5x = 123

Where,

x = cost per square​ foot

7.6x − 3.5x

Sheet metal remaining = 4.1x

7.6x − 3.5x = 123

4.1x = 123

x = 123 / 4.1

x = $30

Cost per square​ foot = $30

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Given that PS is a median of triangle PQR, find RQ<br> A.6<br> B.12<br> C.19<br> D.38
Zinaida [17]
The median triangle is a line segment that connects the vertex and the midpoint of the opposite side. Therefore, in the given, we can say that RS = QS

Equating RS and QS, we will find the value of X

RS = QS 
5x-11 = 2x+7
5x-2x = 7+11    ⇒ combine like terms
3x = 18             ⇒ divide both sides by 3 to get the x value 
x = 6

Find the value of RS and QS, in this, we will show that two are equal

5(6)-11 = 2(6)+7
19 = 19  ⇒ correct

Therefore RQ is the sum of RS and QS or simply twice the length of either segment

RQ = 19 x 2 = 19 + 19 = 38 (D)
5 0
3 years ago
The question is in the picture
snow_lady [41]

Answer:men=152   women=76     children=38

Step-by-step explanation:

  • men+women+children=266
  • men=4*children
  • women=2*childrens
  • so let say x represent the numebers of children the equatin becomes: 4x+2x+x=266
  • solve for x =38 so the numbers of children is 38
  • men=4*38=152
  • women=2*38=76

5 0
3 years ago
The base of a rectangle is 6cm longer than its height. The area of a rectangle is 91cm squared. What is the perimeter of the rec
r-ruslan [8.4K]

Width = 7cm

Length = 13cm

<u>Explanation:</u>

Area of rectangle =  91cm^{2}

Let width of the rectangle = b ,  

So, length = b+6

Area of rectangle = (length X width) - eqn 1

Putting the value of length and width in above equation 1,

91cm^{2} = b  (b+6)\\91 = b^{2}+6b\\b^{2} + 6b-91 = 0\\

On solving the quadratic equation we get,

b = 7cm

So, width (b) = 7cm

and length = 7+6

l = 13cm

Hence,  

Width = 7cm

Length = 13cm

6 0
3 years ago
-3 (5 g +1) + 8 g
Komok [63]

Answer:

-7g-3

Step-by-step explanation:

in order to evaluate for this mathematical expression, we need to consider the negative sign carefully and then open the bracket then evaluate.

<u>solutuion</u>

-3 (5 g +1) + 8 g

-15g -3 + 8g

-15g +8g -3

-7g-3

8 0
3 years ago
What is “8 - 4(-x + 5)” equivalent too?
RSB [31]

Answer:

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Step-by-step explanation:

8 - 4(-x + 5)

Distribute

8 -4(-x) -4(5)

8 +4x -20

4x -12

4 0
2 years ago
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