Answer:
dividing denominators
Step-by-step explanation:
you say for example 12/5, means 12 divides 5 is going to give something 2.4, so as the answer is gonna be 2 hole number 4/5.
Answer:

Step-by-step explanation:
Hello There!
<u>Geometry</u>
The angles shown represented by the expressions (11x + 5) and (5x+59) are vertical angles
Vertical angles are congruent so we can use this equation to solve for x
<u>Basic Algebra</u>
11x + 5 = 5x + 59
step 1 subtract 5x from each side
5x - 5x cancels out
11x - 5x = 6x
now we have 6x + 5 = 59
step 2 subtract each side by 5
5 - 5 cancels out
59 - 5 = 54
now we have 54 = 6x
step 3 divide each side by 6
6x/6=x
54/6=9
we're left with x = 9
now we want to plug in 9 into x for one of the expression
11(9) + 5
11 * 9 = 99
99 + 5 = 104
so we can conclude that the measure of the angle labeled ( 11x + 5 ) is 104 degrees
Now we need to find z
<u>Geometry</u>
The angle with a measure of 104 and angle Z are supplementary angles meaning that the sum of the two is 180
So to find z we subtract the known angle (104) from 180
180 - 104 = 76
so we can conclude that z = 76
<span>Simplifying
25 + 10(12 + -1x) = 5(2x + -7)
25 + (12 * 10 + -1x * 10) = 5(2x + -7)
25 + (120 + -10x) = 5(2x + -7)
Combine like terms: 25 + 120 = 145
145 + -10x = 5(2x + -7)
Reorder the terms:
145 + -10x = 5(-7 + 2x)
145 + -10x = (-7 * 5 + 2x * 5)
145 + -10x = (-35 + 10x)
Solving
145 + -10x = -35 + 10x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10x' to each side of the equation.
145 + -10x + -10x = -35 + 10x + -10x
Combine like terms: -10x + -10x = -20x
145 + -20x = -35 + 10x + -10x
Combine like terms: 10x + -10x = 0
145 + -20x = -35 + 0
145 + -20x = -35
Add '-145' to each side of the equation.
145 + -145 + -20x = -35 + -145
Combine like terms: 145 + -145 = 0
0 + -20x = -35 + -145
-20x = -35 + -145
Combine like terms: -35 + -145 = -180
-20x = -180
Divide each side by '-20'.
x = 9
Simplifying
x = 9.
Hope this helps you ! =')</span>
Answer:
About 0.41 hours
Step-by-step explanation:
THe distance between Michael and Clara is 44 km.
We know D = RT,
Where
D is distance
R is rate (speed)
T is time
For Michael, we can write:
D = 47t
For Clara, we can write:
D = 61t
If we let michael's distance be x, Clara's distance would be 44 - x
So, we can say:
x = 47t
and
44 - x = 61t
Putting first equation into 2nd, we get:
44 - 47t = 61t
SOlving:
44 - 47t = 61t
44 = 61t + 47t
44 = 108t
t = 44/108 = 0.41 hours
The commute took 0.41 hours
We need to find the surface area of the solid.
Since it's formed by cubes with edges of 1 meter, each square on the surface of the solid has an area equal to:

Thus, to find its surface area, we need to count the number of squares on its surface, and then multiply this number by 1 meter².
We can see that this solid has two equal latera surfaces (right and left). Each one of them has 17 squares.
Also, the number of squares on the horizontal surfaces is the same on the top and bottom of the solid. Each one of them has 10 squares.
And the vertical surfaces on the front and back of the solid have the same number of squares: 8 squares each.
Then, adding those quantities and multiplying the result by two, we find the total number of squares on the surface of the solid:

Therefore, the surface area of the solid is 70 m².