71% of 40 is 28.4
Divide 28.4 by 40:
Change the decimal to a percentage by multiplying by 100:
Answers:
- b = -19
- b = -11
- b = -9
- b = 19
- b = 11
- b = 9
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Explanation:
Here are all the ways to multiply to 18 when using integers only:
- -1*(-18) = 18
- -2*(-9) = 18
- -3*(-6) = 18
- 1*18 = 18
- 2*9 = 18
- 3*6 = 18
Sum each pair of factors to find out a possible value of b.
- -1 + (-18) = -19
- -2 + (-9) = -11
- -3 + (-6) = -9
- 1 + 18 = 19
- 2 + 9 = 11
- 3 + 6 = 9
Therefore, the possible values of b are
- b = -19
- b = -11
- b = -9
- b = 19
- b = 11
- b = 9
which are the final answers.
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An example:
Let's say b = 11. This would mean 
becomes 
It would factor to 
since it was stated earlier that:
2+9 = 11
2 * 9 = 18
You can use the FOIL rule, distributive property, or the box method to confirm that 
is a true equation for all real numbers x.
This same idea applies for the other values of b.
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If you're curious why this works, consider multiplying the two factors (x+p) and (x+q)
Use the FOIL rule to get 
The middle term 
has the components add to the coefficient, while those same two components multiply to get the last term. This is why when factoring we're looking for two numbers that multiply to 18, and also add to the value of b (which in the case of the last example was 11).
Answer:
X = 5
Step-by-step explanation:
28 = 7x + 3 - 2x
28 = 5x + 3
28 - 3 = 5x + 3 - 3
25 = 5x
25/5 = 5x/5
X = 5
Answer: 50% of the sandwiches were turkey, 30% were veggie and 20% were tuna.
Step-by-step explanation: The total number of sandwiches sold was 50 in all.
The sales according to type of sandwich were as follows;
25 Turkey
15 Veggie
10 Tuna
50 Total
Since there were 50 sandwiches sold and of these 25 were turkey sandwiches and another 15 were veggie sandwiches, then the remaining which is tuna sandwich is derived as 50 - [25 + 15] which equals 10.
To calculate the percentage per type of sandwich sold;
(a) Turkey is derived as
Percentage turkey = (25/50) x 100
Percentage turkey = 1/2 x 100
Percentage turkey = 50%
(b) Veggie is derived as
Percentage Veggie = (15/50) x 100
Percentage Veggie = (3/10) x 100
Percentage Veggie = 30%
(c) Percentage tuna = (10/50) x 100
Percentage tuna = 1/5 x 100
Percentage tuna = 20%
Answer:
A=153.94
C=43.98
Step-by-step explanation:
CIRCUMFERENCE
C=2πr
C=2π7
C=43.98
AREA
A=πr²
A=π7²
A=153.94
