Answer:
17
Step-by-step explanation:
AC = AB + BC
Since we know what each variable equals, we can write out the equation as shown:
47 = 5x + 3x - 1
Combining like terms:
47 = 8x - 1
Add 1 on both sides:
48 = 8x
Divide 8 on both sides:
X = 6
Now that we know what X equals, we can solve BC.
BC = 3(6) - 1
BC = 18 - 1
BC = 17
Therefore BC = 17.
Answer:
3 minutes
Step-by-step explanation:
d=3t is our formula.
d being the distance (9 inches for this problem)
t is the time in minutes
Substituting our known information would make our equation look like:
9 = 3t
to solve for t we divide both sides of the equation by 3
9/3 = 3t/3
3 = t
So if a snail travels 3 inches per minute, it will have traveled 9 inches in 3 minutes.
4/8-3/8=1/8more
Therefore Keith at 1/8 more of the sandwich than Henry.
Answer:
x = 2.
Step-by-step explanation:
3^2x = 9^(3x - 4)
9^3x-4 = 3^2x
(3^2)^(3x-4) = 3 ^2x
3^6x-8 = 3^2x
6x - 8 = 2x
4x = 8
x = 2 (answer).
Answer:
<em>The shaded region has an area of 1400 square units</em>
Step-by-step explanation:
<u>Area of Compound Shapes</u>
We are given a shape and it's required to calculate its area. The shape can be divided into three rectangles as shown in the figure attached below.
The lengths of these rectangles are x, y, and z.
The value of x can be calculated as:
x = 60 - 15 - 10 = 35
Similarly:
y = 60 - 15 = 45
z = y = 45
The first rectangle has dimensions of x by 10, thus its area is:
A1 = 35*10 = 350
The second rectangle has dimensions of 60 by 10:
A2 = 60*10 = 600
The third rectangle has dimensions y by 10:
A3 = 55*10 = 450
The shaded area is:
A = 350 + 600 + 450 = 1400
The shaded region has an area of 1400 square units
