The answer is 10 because 45-9 is 36, so 46-x must be 36, which would result in 10
Answer: x = 2.65, y = 3.81
Step-by-step explanation:
ABC similar to PQR
1) Find the ratio of corresponding sides
2) Use that ratio to find values for x & y
1) Side AB = 2.76cm & Side PR = <em>y</em><em> </em>cm
Side BC = <em>x</em> cm & Side RQ = 3.66 cm
Side CA = 3 cm & Side QP = 4.14 cm (both lengths given)
Can match 3 to 4.14 & ratio of sides in ABC to PQR= 3 /4.14
Length of sides ABC = 3/4.14 times the length of sides PQR
2) x = (3 / 4.14) * 3.66 = 2.65
Now solve for y, ABC to PQR: 2.76 = (3 / 4.14) (<em>y </em>)
<em>equality property</em> (both sides) & inverse operation to isolate <em>y : </em> . 2.76 ÷ (3 / 4.14) = (3 / 4.14 ) ÷ (3 / 4.14) (<em>y</em><em>)</em>
2.76 * (4.14 / 3) = 3 / 4.14 * (4.14 / 3) (<em>y</em><em>)</em>
(2.76 * 1.38 ) = 3.81 = <em>y</em>
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<em>Scale Factor Method: Determine the Multiplier</em>
Small to Big or Big to Small ➜ Be sure not to switch
One operator is missing. I will assume it is a + and that the equation is: 4y -2/5y +4/5 = -3
Solution step by step
1) Sum -4/5 to both sides
4y - 2/5y + 4/5 - 4/5 = -3 -4/5
2) Sum alike terms
18/5 y = -19/5
3) Multiply both sides by 5
18 y = -19
4) Divide both sides by 18
y = -19/18
The y intercept in the scatter plot means that at 0 years working, you will get paid $8 per hr. The y intercept can be represented by the ordered pair (0,8). The independent variable is the # of years and the dependent variable is pay per hour.
Hope this helped :)
Answer:
Average grade for this test = 1.85
Step-by-step explanation:
Given that number of students receiving respective grade scores are : 11, 18, 52, 13, 6
Then total number of students = 11 + 18 + 52 + 13 + 6 = 100
Sum score obtained by total students
= 11F + 18D + 52C + 13B + 6A
= 11(0) + 18(1) + 52(2) + 13(3) + 6(4)
= 0 + 18 + 104 + 39 + 24
= 185
Now average grade for this test is given by 185/100 = 1.85
Hence final answer is 1.85.