Answer: 684 divided by 57=12
Step-by-step explanation:(with reference to the figure)
To find 684 divided by 57 by partial quotients .
Here dividend= 684 and divisor =57
Step 1: Write easy factors of divisor that is nearest to the dividend as follows
57×2=114
57×3=171
57×5=285
57×10=570(nearest easy factor)
Step 2: Now subtract 570 from 684 ,we get 114 then subtract 114=57×2 from it we get 0.
Step 3: Adding the factors we have used in step 1 and 2 ,it will give required quotient=10+2=12
i.e. 684=57(10)+57(2)
Answer:
Step-by-step explanation:
Let x represent the number of spelling questions in the test.
Let y represent the number of vocabulary questions in the test.
Mrs morals wrote a test with 15 questions covering spelling and vocabulary. This means that
x + y = 15
Spelling questions (x) are worth 5 points and vocabulary questions (y) are worth 10 points. The maximum number of points possible on the test is 100. This means that
5x + 10y = 100 - - - - - - - - - - - 1
Substituting x = 15 - y into equation 1, it becomes
5(15 - y) + 10y = 100
75 - 5y + 10y = 100
- 5y + 10y = 100 - 75
5y = 25
y = 25/5 = 5
x = 15 - y = 15 - 5 = 10
Answer: Domain: {2}
Step-by-step explanation:
1. By definition, the domain is the input value, this means that it is the x-value of a function.
2. Therefore, keeping the definition above on mind, you have that the domain of x is the x-value of each ordered pair.
3. Then, given x = {(2, 3), (2, 4), (2, 5), (2, 6)}, you can see that x-value of each ordered pair is 2. Therefore, you can conclude that the domain of x is:
Domain:{2}
Length = 4/5 ft
area = 3/10 ft.
Width = 3/10 ÷ 4/5 ft
= 3/10*5/4 ft
= 3/8 ft
Perimeter = 2(L+W)
= 2(4/5+3/8) ft
= 2(32+15)/40 ft
= 47/20 ft
= 2.35 ft
4) x + x + x = 180°
An equilateral triangle has three sides of equal length. Its interior angles are also equal. Since interior angles of a triangle should sum up to 180°, then each angle is 60°, making each angle congruent with one another.
So if x is equal to one angle and triangles have three angles then,
x + x + x = 180°
or 3x = 180°
