Answer:
30 minutes
Step-by-step explanation:
rate = 2/12 = 1 mile/6minutes
d = rt
5 = 1/6t
t= 5/(1/6)
t = 30 minutes
Answers: See each part below.
1) The scale factor on Map 1 is 1cm = 2 km. It is given in the key in the bottom right corner.
2) The length of the trail would be 16 km. Since each cm is 2 km, we multiply the 8 by 2 to get a total of 16.
3) The scale factor from the first map to the second map is 0.75. To find this we can write and solve the following equation to determine the change from Map 1 to Map 2.
8k = 6
k = 0.75
4) To find the lengths of the sides of the landmark, just change the mm into cm and use the scale factor for each.
5 mm is 0.5 cm. 0.5 x 2 = 1 km
3 mm is 0.3 cm. 0.3 x 2 = 0.6 km
4 mm is 0.4 cm. 0.4 x 2 = 0.8 km
Answer:
the total cost of producing 6 widgets is $231
Answer:
x = 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
17 - (3x + 5) = 3x - 6
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute negative: 17 - 3x - 5 = 3x - 6
- Add 3x on both sides: 17 - 5 = 6x - 6
- Combine like terms: 12 = 6x - 6
- Isolate <em>x</em> term: 18 = 6x
- Isolate <em>x</em>: 3 = x
- Rewrite: x = 3
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 17 - (3(3) + 5) = 3(3) - 6
- Multiply: 17 - (9 + 5) = 9 - 6
- Add: 17 - 14 = 9 - 6
- Subtract: 3 = 3
Here we see that 3 does indeed equal 3.
∴ x = 3 is the solution to the equation.
Answer:
x divided by 4+3=8
Step-by-step explanation: quotient is the division part
