Answer:
x = 29/6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
8x - (2x - 13) = 42
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Distributive Property] Distribute negative: 8x - 2x + 13 = 42
- [Subtraction] Combine like terms: 6x + 13 = 42
- [Subtraction Property of Equality] Subtract 13 on both sides: 6x = 29
- [Division Property of Equality] Divide 6 on both sides: x = 29/6
<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>: 8(29/6) - [2(29/6) - 13] = 42
- Multiply: 116/3 - [29/3 - 13] = 42
- [Brackets] Subtract: 116/3 - -10/3 = 42
- Subtract: 42 = 42
Here we see 42 does indeed equal 42.
∴ x = 29/6 is the solution.
Answer:
The minimum number of letters John has to send to be sure that Peter receives his letter is 127 letters
Step-by-step explanation:
The four digit numbers that are multiples of 5 and 7 with the last digit = 0 is found as follows
Since the last digit of the house number = 10, then the house number is divisible by 10 which also meets the condition that the house number is divisible by 5
We have the four digit numbers from 1000 to 9999
Hence the numbers divisible by both 7 and 10 are from (1000/70 (Which is 14 + 2/7) - 2/7)×70 + 70 = 1050 to (9999/70 (Which is 142 + 59/70)- 59/70)×70= 9940
Which gives 142 - 15 = 127 numbers which are four digit number multiples of 5 and 7 with the last digit = 0
Hence the minimum number of letters John has to send to be sure that Peter receives his letter = 127 letters.
Answer:
0,-12
Step-by-step explanation:
you would put the two x quardinates and subtract them and then do the same for the y quardinates so
5-5 =0
-9-3=-12 so ur answer is 0, -12
Answer:
The width of the actual fence is 90ft
Step-by-step explanation:
If 2in = 10ft, you want to find the scale factor. To do this, you need to divide 10/2, so for every 5ft, it is 1in. Now, you would take how many inches you have and multiply it by 5. (in our case, 18in)
18 x 5 = 90.
So the actual fence length is 90ft.
9514 1404 393
Answer:
530.93 square units
Step-by-step explanation:
The area of a circle in terms of diameter can be found by ...
A = (π/4)d²
A = 3.14159/4×26² ≈ 530.929
Rounded to hundredths, the area of the circle is 530.93 square units.
