Answer:
72
Step-by-step explanation:
<em>Since the ratio of blue jays to robin's was 6 to 7 then if there were 84 robins how many blue jays were there.</em>
<em>6 to 7 can also be express as 6/7</em>
<em>Thus, we can set up a proportion</em>
<em>6/7 = x/84</em>
<em>Now, we have to solve for x</em>
<em>x = 72</em>
<em>Hence, if there were 84 robin there would be 72 blue jays.</em>
<em />
<u><em>~lenvy~</em></u>
0.52
Step-by-step explanation:
To round 0.524 to the nearest hundredth consider the thousandths’ value of 0.524, which is 4 and less than 5. Therefore, the hundredths’ value of 0.524 remains 2.
0.524 rounded to the nearest hundredth = 0.52
Answer:
Blank 1 = 53 + 90 = 143
Blank 2 = 143 - 229 = -86
Blank 3 = 0 - 86 = 86
Answer:
9
Step-by-step explanation:
2w+6=-2w+42
4w+6=42
4w=36
w=9
Answer:
- The system has infinitely many solutions when a = 3/4 and b = 1/2
<h3>Given </h3>
System of linear equations
<h3>To find </h3>
- Values of a and b that leads to infinitely many solutions
<h3>Solution</h3>
The linear system of equations has infinitely many solutions when lines overlap, so both have same slope and y-intercept.
We can solve it in two different ways
1. Note that when the first equation is multiplied by 4, it has same value of constant as the second equation, which is 64.
- 4ax + 4by = 64
- 3x + 2y = 64
When compared it gives us:
- 4a = 3 ⇒ a = 3/4
- 4b = 2 ⇒ b = 2/4 = 1/2
2. Convert both equations from standard to slope-intercept form and compare:
- ax + by = 16
- by = -ax + 16
- y = - (a/b)x + 16/b
- 3x + 2y = 64
- 2y = - 3x + 64
- y = - (3/2)x + 32
Work out values of a and b:
- 16/b = 32 ⇒ b = 16/32 ⇒ b = 1/2
- - (a/b) = - 3/2 ⇒ a/b = 3/2 ⇒ a = 3b/2 ⇒ a = 3(1/2)/2 ⇒ a = 3/4
