Explain how the position of the decimal point changes in a quotient as you divide by increasing powers of ten.
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Example:
1/10=0.1
1/100=0.01
1/1000=0.001
As the powers of ten increases, the decimal moves to the left.
each time you times a number with a decimal point by 10 the point will move to right one space
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Solve for x: 2/5 (x - 2) = 4x. A. 2/9 B. 9 C. -2/9 D. -9/2
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The required simplified value of the t in the given proportion is given as t = 48.
What is simplification?
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given the expression of proportion,
t/16 = 40 / 50
t / 60 = 4 / 5
Multiply both sides by 60,
t / 60 × 60 = 4 / 5 × 60
t = 4 × 12
t = 48
Thus, the required simplified value of the t in the given proportion is given as t = 48.
Learn more about simplification here:
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50t = 40 x 16
50t = 640
t = 640/50
t = 12.8
a.70(h + 2)
b.70(h - 2)
c.70h
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Answer:
70(h-2) is the correct answer
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Answer: $403.75
Step-by-step explanation:
Cost price= $475
Discount percent= 15%
Discount = 15% of 475
= 15/100 × 475
= 0.15 × 475
= $71.25
To get the reduced price of the keyboard, we subtract the discount from the cost price of the keyboard.
= Cost price - discount
= $475 - $71.25
= $403.75
The reduced price of the keyboard is $403.75
$475 - 71.25 = $403.75
so the reduced price is $403.75
Answers
Answer:
Step-by-step explanation:
3) ∠JKN =∠ MKL Vertical angles theorem - Vertically opposite angles are equal
4) ΔJKN ≅ΔMKL AAS congruency
5) ∠J ≅ ∠ M CPCTC
Answer:
The vertical angles theorem
Step-by-step explanation:
The correct answer is the vertical angles theorem, which states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent
Answers
A = b * h
Where,
b: base
h: height
Clearing the base we have:
b = A / h
Substituting values we have:
b = (6x2 + x + 3) / 3x
Rewriting we have:
b = 2x + 1 / x + 1/3
Answer:
the length of the base is:
b = 2x + 1 / x + 1/3
Answer:
b =
Step-by-step explanation:
The area of the parallelogram is represented by
The height is
The base of the parallelogram, b, can be found by dividing the area by the height.
So, 'b' can be found as
In simplified form, we can write this as :
=>
=>
Hence, base or 'b' is
y = 3x + 5
3x - y = 5
Answers
Answer:
Step-by-step explanation:
Substitute our first equation into the second equation. We are given y, so this is ideal of substitution method.
y = 3x + 5
3x - y = 5
3x - (3x + 5) = 5
3x - 3x - 5 = 5
-5 = 5
There is no solution for the system because after solving, the sides of the equation are not equal. We can further check this by writing the second equation in a "y = mx + b form, or slope-intercept form. This well tell use about the graphs of the equations.
3x - y = 5
-y = -3x + 5
y = 3x -5
When comparing with the first equation, we can see that the slope is 3 for both lines, but the y-intercept is different. This means we have two parallel lines that cross the y-axis at (0, 5) and (0, -5). From this, one can conclude there is no solution because parallel lines with different y-intercepts will never cross.