Answer:
8 2/35 miles per hour
Step-by-step explanation:
We are given distance traveled and the time required. We can use those directly in the relation that gives speed:
speed = distance / time
... = (18 4/5 miles)/(2 1/3 hours)
... = (94/5 miles)/(7/3 hours) . . . . . . converte mixed numbers to improper fractions
... = (94/5×3/7) miles/hour . . . . . . . "invert and multiply"
.. = 282/35 miles/hour . . . . . . . . . . improper fraction result
... = 8 2/35 miles/hour . . . . . . . . . . as a mixed number
Answer:
$20
Step-by-step explanation:
There are a few ways to do this. We know 20% is 1/5 and 1/5 is 5 dollars. since that's the percent off, we would subtract it from 25.
For general percents off, they might not be so easy. It is important to know the method. We must multiply by the decimal of the percent, so
Now, since it is this amount off, we subtract 5 from 25.
$20 is the final price of the hat!
<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>!</em>
Answer:
A)dilation
Step-by-step explanation:
The transformation preserves only angle measurement is dilation. The transformation helps in taking up the production of an image that is of the same shape as the main original image.
Answer:
x = -7/4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
5x + 3 - 2x = 12 + 7x - 2
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 3x + 3 = 7x + 10
- [SPE] Subtract 3x on both sides: 3 = 4x + 10
- [SPE] Subtract 10 on both sides: -7 = 4x
- [DPE] Divide 4 on both sides: -7/4 = x
- Rewrite: x = -7/4
<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>: 5(-7/4) + 3 - 2(-7/4) = 12 + 7(-7/4) - 2
- Multiply: -35/4 + 3 + 7/2 = 12 - 49/4 - 2
- Add: -23/4 + 7/2 = 12 - 49/4 - 2
- Add: -9/4 = 12 - 49/4 - 2
- Subtract: -9/4 = -1/4 - 2
- Subtract: -9/4 = -9/4
Here we see that -9/4 does indeed equal -9/4.
∴ x = -7/4 is the solution to the equation.