So,
The problem tells us that the length of the rectangle is 5 feet more than twice the width.
Mathematically:
length = 5 + 2width
l = 5 + 2w
We know that the perimeter is 2l + 2w.
2l + 2w = 130
2(5 + 2w) + 2w = 130
Distribute
10 + 4w + 2w = 130
Collect Like Terms
10 + 6w = 130
Subtract 10 from both sides
6w = 120
Divide both sides by 6
w = 20
The width is 20.
Since
l = 5 + 2w
Substitute
l = 5 + 2(20)
Multiply
l = 5 + 40
Collect Like Terms
l = 45
The length is 45.
Check
2l + 2w = 130
2(45) + 2(20) = 130
90 + 40 = 130
130 = 130
Width: 20 ft.
Length: 45 ft.
The value of the expression, 5x^2 - 4, when x = 2 is: 16.
<h3>What is the the Value of an Expression?</h3>
To find the value of an expression, plug in the given value of the variable and solve by simplifying.
Given the expression, 5x^2 - 4, when x = 2, we would have:
5(2)^2 - 4
5(4) - 4
20 - 4
= 16
Therefore, the value of the expression, 5x^2 - 4, when x = 2 is: 16.
Learn more about value of expression on:
brainly.com/question/625174
<h3>
Answer with explanation:</h3>
It is given that:
Circle 1 has center (−4, −7) and a radius of 12 cm.
Circle 2 has center (3, 4) and a radius of 15 cm.
Two circles are said to be similar if by some translation and dilation it could be placed over the other to form the same circle.
The circles are similar because the transformation rule ( x,y ) → (x+7,y+11) can be applied to Circle 1 and then dilate it using a scale factor of 5/4
( Since, as the center of circle 1 is (-4,-7)
so,
(-4+7,-7+11) → (3,4)
( Since, the radius of circle 1 is 12 and that of circle 2 is 15 cm.
so, let the scale factor be k .
that means :
)
Answer:
375
Step-by-step explanation:
5(7x+5)
5(7*10+5)
7*10=70
5(70+5)
70+5=75
5*75
375
C. because 24lbs is 384 oz plus the 5 oz is 389.
