Answer:
I. First number, a = 40.
II. Second number, b = 50.
III. Third number, c = 120.
Step-by-step explanation:
Let the three numbers be a, b and c respectively.
Given the following data;
Translating the word problem into an algebraic equation, we have;
a + b + c = 210
b = a + 10
c = 3a
Substituting the value of b and c into the equation, we have;
a + a + 10 + 3a = 210
5a + 10 = 210
5a = 210 - 10
5a = 200
a = 200/5
<em>a = 40</em>
To find the value of b;
b = a + 10
b = 40 + 10
<em>b = 50</em>
To find c
c = 3a
c = 3*40
<em>c = 120</em>
Where are the rectangles????
First we find the slope of the original equation
4x - 2y = 3
-2y = -4x + 3
y = -4/-2x - 3/2
y = 2x - 3/2......slope here is 2
for a parallel line, we use the same slope
y = mx + b
slope(m) = 2
(2,1)...x = 2 and y = 1
now we sub and find b, the y int
1 = 2(2) + b
1 = 4 + b
1 - 4 = b
-3 = b
so ur parallel equation is : y = 2x - 3
for a perpendicular slope, we need the negative reciprocal. All that means is flip the slope and change the sign. So we have a slope of 2...the negative reciprocal we need is -1/2
y = mx + b
slope(m) = -1/2
(2,1)...x = 2 and y = 1
now we sub again
1 = -1/2(2) + b
1 = -1 + b
1 + 1 = b
2 = b
ur perpendicular line is : y = -1/2x + 2
=========================
x + 4 = 0
x = -4....this is a vertical line with an undefined slope....sorry but I am not sure about this one
Answer:
26 over 3 =2
------ = 8.667
3
Convert mixed number to improper fraction
5 and 3 over 45
3
4
= ( 5 × 4 ) over 4
5 × 4
4
+ 3 over 4
3
4
= ( 20 + 3 ) over 4
20 + 3
4
= 23 over 4
23
4
Step 1 of 2: Add, sub-step b: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
2 and 11 over 122
11
12
= ( 2 × 12 ) over 12
2 × 12
12
+ 11 over 12
11
12
= ( 24 + 11 ) over 12
24 + 11
12
= 35 over 12
35
12
Step 1 of 2: Add, sub-step c: Find common denominator.
Find common denominator
23 over 4
23
4
+ 35 over 12
35
12
= ( 23 × 3 ) over ( 4 × 3 )
23 × 3
4 × 3
+ ( 35 × 1 ) over ( 12 × 1 )
35 × 1
12 × 1
= 69 over 12
69
12
+ 35 over 12
35
12
12 is the least common multiple of denominators 4 and 12. Use it to convert to equivalent fractions with this common denominator.
Step 1 of 2: Add, sub-step d: Add.
Add
69 over 12
69
12
+ 35 over 12
35
12
= ( 69 + 35 ) over 12
69 + 35
12
= 104 over 12
104
12
X > 5-7
x > -2
b. Is the answer:)