Answer:
a = 9
Step-by-step explanation:
2(a + 7) = 5a - 13
We want to bring a to one side, I will choose to bring it to the right
First, expand the bracket by multiplying 2 with a + 7
2a + 14 = 5a - 13
Bring the -13 to the left by adding 13 to both sides
2a + 14 + 13 = 5a - 13 + 13
Simplify
2a + 27 = 5a
Bring the 2a to the right by subtracting 2a from both sides
2a - 2a + 27 = 5a - 2a
Simplify
27 = 5a - 2a
27 = 3a
Bring the 3 to the left by dividing both sides by 3
27÷3 = a
Simplify
a = 9
ok ... in this situation... we need to find the area of the rectangle first as it is equal to the area of square .
so .... area of rectangle = l×b= 16×4
= 64 ∴area of square = 64
area of square = s×s
∴to find one side of the square ... we need to find the root of 64 = 8
∴one side = 8
now : perimeter of square : 4 × sides = 4 × 8 = 32 ║
Since the nickles are first and there are (1.00 /.05= 20) 20 nickles in a dollar the first number is 20 then next is quarters and there is (1.00 / .25= 4) 4 quarters in a dollar so the second number is 4 so now u have to simplify if you were told to
the number 20 can be divided by 4 and the answer is 5 the number 4 is next divide by 4 and is 1 so the whole answer is <u>5 to 1 or 5:1</u> <u /><u />
Answer:
25 in x 15 in
Step-by-step explanation:
Given:
- Length = 3/5 the width
- Area = 375 in²
Let width = 
Therefore, length = 3/5
First create an equation for the area of the picture based on the given information for its width and length:
We are told the area of the enlarged picture is 375 in². Therefore, substitute this into the equation and solve for to find the width of the enlarged picture:
Therefore, the width of the enlarged picture is 25 in.
Substitute the found value of into the expression for length to find the length of the enlarged picture:
Therefore, the dimensions of the enlarged picture are <u>25 in x 15 in</u>. The width is 25 in and the length is 15 in, as the length is 3/5 of the width.
Answer:
a)y=3/2x+6 b) y= -4/3x-2
Step-by-step explanation:
a)using the points given (-2,2) and (0,6)
we use rise over run formula and get 3/2
and we get y intercept by looking at when the line touches the y line in this case 6
using y=mx+b formula when m is slope and b is y interecpt we plug the numbers in
so we get y=3/2x+6
b) For this we use the points given which are (-3,2) and (0,2)
we use the rise over run formula and get 4/3 but since the line is going down it means the slope is negative so we get -4/3
and the y intercept we get by looking at when it touches the y line in this case it touches at -2
so using the same formula as the first question
but since the y interecpt is negative we change the plus sign for a minus
we get y=-4/3x-2
