Answer:
40.9
Step-by-step explanation:
add all the sides
Step-by-step explanation:
To begin, let’s represent both numbers with letters; x for the smaller number and y for the larger one
The question states that both numbers sum up to 65. With that, we can create our first equation:
x+y = 65
You also went on to say that the smaller number multiplied by 2, is equal to the sum of the larger number and 10. Therefore
2x = y+10
We can rearrange the first equation, place it in the second equation and find our answer. So,
Rearranging equation 1, we have y=65-x. Hence:
2x = 65-x +10
3x = 75
x= 75/3 = 25
Substituting this value into equation 1, we have ‘y’ to be 40 {65–25}
Proof: 2*25 = 50 = 40+10
Hi there!
The formula for the perimeter of a rectangle is P = 2 (l + w).
We can simplify this formula so that we can find the solutions easier.
P = 40
40 = 2 (l + w)
divide both sides by 2
40/2 = l + w
20 = l + w
So the length + width has to equal to 20.
So your answers would be B , C , D.
Hope this helped! :)
Answer:
Equation is S = 40w + 650
So S = 40(16) + 650
S = 640 + 650
S = $1,290
Step-by-step explanation:
this because each week (W) he adds $40 and the $650 is the initial amount in his savings account. So since 16 weeks went by, just multiply that by 40 and add 650 to that product.
The width of the rug is 3 inches
Step-by-step explanation:
A knitter wants to make a rug for a dollhouse
- The length of the rug will be 2 inches more than it’s width
- The total area of the rug ( in square inches) based on the width w of the rug (in inches ) is given by A(w) = w (2 + w)
- The desired area of the rug is 15 square inches
We need to find the width of the rug
∵ The area of the rug is A(w) = w(2 + w)
- Simplify the right hand side
∴ A(w) = 2w + w²
∵ The desired area of the rug is 15 square inches
- Equate A(w) by 15
∴ 2w + w² = 15
- Subtract 15 from both sides
∴ 2w + w² - 15 = 0
- Its a quadratic equation arrange its terms from the greatest power of x
∴ w² + 2w - 15 = 0
Factorize it into two binomial factors
∵ w² = w × w
∵ 15 = 3 × 5
∵ 5w - 3w = 2w
∴ w² + 2w - 15 = (w -3)(w + 5)
∴ (w - 3)(w + 5) = 0
- Equate each factor by 0
∴ w - 3 = 0 OR w + 5 = 0
∵ w - 3 = 0
- Add 3 to both sides
∴ w = 3
∵ w + 5 = 0
- Subtract 5 from both sides
∴ w = -5 ⇒ rejected because no dimension with -ve value
∴ w = 3 only
The width of the rug is 3 inches
Learn more:
You can learn more about the quadratic equation in brainly.com/question/9328925
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