Step-by-step explanation:
Answer:
1. 700
2. $157.50
3. $857.50
Step-by-step explanation:
Regular pay is calculated by taking 40 hours x $17.50 to get $700.
Overtime is calculated by taking 6 hours x 17.50 x 1.50 to get $157.50
Gross pay would be adding these two amounts together.
Answer:
Step 1) Convert the 3.15 percent to a decimal number.
To convert 3.15 percent to a decimal number, you divide 3.15 by 100. In other words, the quotient you get when you divide 3.15% by 100 is the decimal number.
3.15 ÷ 100 = 0.0315
Step 2) Convert the decimal number to a fraction.
To convert the decimal number to a fraction, we make the decimal number the numerator, and 1 the denominator.
0.0315 =
0.0315
1
Step 3) Remove the decimal point in the numerator.
To remove the decimal point in the numerator, multiply both the numerator and denominator by 10000.
0.0315 × 10000
1 × 10000
=
315
10000
Step 4) Simplify the fraction.
The greatest common factor of 315 and 10000 is 5. Therefore, to simplify the fraction, divide the numerator and denominator by 5.
315 ÷ 5
10000 ÷ 5
=
63
2000
Step 5) Convert the fraction to a ratio.
To convert the fraction to a ratio, replace the fraction divider line with a colon.
63
2000
= 63:2000
That was the final step. Below is the answer to 3.15 percent as a ratio.
3.15% = 63:2000
Step-by-step explanation:
Given : y = -25 and x = -5
We can notice that if we Multiply 'x' with 5 we get 'y'
That is (-5) × 5 = -25
⇒ x multiplied by 5 = y
(a) The Equation that relates x and y is 5x = y
(b) We found that the Equation of this Direct variation is : 5x = y
The Question is to find the value of y when x = 3
The Value of y at x = 3 can be found by simply substituting x = 3 in the equation we found.
⇒ y = 5x
⇒ y = 5 × 3
⇒ y = 15
So, the Value of y when x = 3 is 15
Answer:
799 feet
Step-by-step explanation:
We solve using the Trigonometric function of Tangent.
tan theta = Opposite /Adjacent
From the above question, we have the height of the surveyor = 5.5 feet
theta = Angle of elevation = 65°
Adjacent = 370 feet
Let Opposite = height + height of spider rock
tan 65° = h - 5.5 /370 feet
Cross Multiply
tan 65° × 370 feet = h - 5.5
793.46756059 feet = h - 5.5
h = 793.46756059 feet + 5.5
h = 798.96756059 feet
Approximately = 799 feet
The height of the Spider rock = 799 feet
