Answer:
1. 520
2. 568.125
Step-by-step explanation:
1.
10 per 40 hours + 1.5 overtime
1.5 overtime = 10(1.5) = 15
10 (40) + 15 (8)
= 400 + 120
= 520
2.
11.25 per 40 hours + 1.5 overtime
1.5 overtime = 11.25(1.5) = 16.875
11.25 (40) + 16.875 (7)
= 450 + 118.125
= 568.125
Answer:
1.1a+3.5b
Step-by-step explanation:
Answer:
( 2,1) is the center of dilation and -2 is the scale factor
Step-by-step explanation:
We can use the formula
A' = k( x-a) +a, k( y-b)+b where ( a,b) is the center of dilation and k is the scale factor
(0,0) becomes (6,3)
( 6,3) = k( 0-a) +a, k( 0-b)+b
6 = -ka+a
3 = -kb+b
We also have
(4,0) becomes (-2,3)
( -2,3) = k( 4-a) +a, k( 0-b)+b
-2 =4k -ka+a
3 = -kb+b
Using these two equations
6 = -ka+a
-2 =4k -ka+a
Subtracting the top from the bottom
-2 =4k -ka+a
-6 = ka -a
-------------------
-8 = 4k
Divide by 4
-8/4 = 4k/4
-2 = k
Now solving for a
6 = -ka +a
6 = - (-2)a +a
6 = 2a+a
6 = 3a
Divide by 3
6/3 =3a/3
2=a
Now finding b
3 = -kb+b
3 = -(-2)b+b
3 = 2b+b
3 = 3b
b=1
Answer:
48
240 ÷ 5 = 48
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Answer:
see explanation
Step-by-step explanation:
Using the rules of radicals/ exponents
×
= 
⇔ ![\sqrt[n]{a^{m} }](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5E%7Bm%7D%20%7D)
Simplifying each term
7
= 7
x
= x ×
× 
= x × 3 × 
= 3 × 
= 3
Subtracting the 2 simplified like terms, that is
7
- 3
= 4
← return to radical form
= 4