Answer:
No Solutions
Step-by-step explanation:
I used a graphing tool to graph the two lines. When graph, the lines are parallel, and they do not intercept at any point. They have no solution.
Answer:
Standard factor form of the integer : 15400 = 2³ × 5² × 7 × 11
Step-by-step explanation:
According to the unique factorization theorem, a given integer n (where, n>1), either is a prime number or can be represented as the product of the prime numbers.
Firstly, it is checked that the given integer is divisible by the smallest prime number 2 . If the integer is not divisible by 2, then the integer is checked for the next prime number 3 and then checked for 5 and so on until the remaining integers are prime numbers.
So, the standard factored form of the integer:
15400 = 2 × 770
15400 = 2 × 2 × 3850
15400 = 2 × 2 × 2 × 1925
15400 = 2 × 2 × 2 × 5 × 385
15400 = 2 × 2 × 2 × 5 × 5 × 77
15400 = 2 × 2 × 2 × 5 × 5 × 7 × 11
or,
15400 = 2³ × 5² × 7 × 11
Therefore, the standard factor form of the integer: 15400 = 2³ × 5² × 7 ×11
Answer:
"subtracting b, then dividing by m"
Step-by-step explanation:
To solve for a particular variable, look a the operations that are being performed on that variable. Then "undo" those operations in reverse order.
Here, the operations done to x are ...
• multiply by m
• add b to the product
Using the above recipe, first we "undo" the additon of b. We accomplish that by subtracting b from both sides of the equation. This gives ...
y - b = mx + b - b
y - b = mx . . . . . . . . . simplify
Next, we "undo" the multiplicatin by m. We accomplish that by dividing both sides of the equation by m.
(y -b)/m = mx/m
(y -b)/m = x . . . . . . . . simplify
This is your solution for x:
x = (y - b)/m
We found it by subtracting b, then dividing by m on both sides of the equation.
<u>Answer:</u>
a) 2/10
b) 15
c) 30
<u>Step-by-step explanation:</u>
Ratio: 2:3:5 = R:B:Y
If we add them all together, we can find the denominator for the fraction of how many counters are in the bag. 2+3+5 = 10.
If the ratio for R = 2, then the fraction is 2/10 (simplified)
If 9 of the counters are blue, to find the number of the other counters, we multiply the ratio numbers by 3 (because 3 x 3 is 9). So, the number of red counters is (2x3) 6, blue is 9, and yellow is (5x3) 15.
Now, to find the total amount, we can add 6, 9, and 15 together to get 30.
Hope this helps. If you require further explanation, let me know!
- profparis
Answer:
-1/12
Step-by-step explanation:
change divide sign to multiply by reciprocating
