Which expressions have a value of 33A. 15+(8*3-6)
B. (30+6)/6+3*2^2
C.40-[5*(3+1)+8]
D.[(3+5)*2-5]*3
Answers
A. 15+(8*3-6)
inside the parentheses, we multiply first
15+(24-6)
now simplify the rest of the parentheses
15+18
33
so answer "A'' equals 33
B. (30+6)/6+3*2^2
we simplify the inside of the parentheses
36/6+3*2^2
we simplify the exponent
36/6+3*4
6+12
18
So NO, answer "B" is not correct
C. 40-[5*(3+1)+8]
all the way on the inside of the parentheses,
40-[5*4+8]
multiplying comes before adding, so
40-[20+8]
inside the brackets,
40-28
12
So answer "C" is also incorrect
D. [(3+5)*2-5]*3
inside the parentheses
[8*2-5]*3
multiplying before subtracting
[16-5]*3
11*3
33
So the only answers that equal 33 are answer "A" and answer "D" equal 33
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What is the excluded value of x for the expression 1/x-6? A.) x = –6 B.) x = –1 C.) x = 1 D.) x = 6
What is the product of -6.8 to the second power
a. 6b^4-2
b. 5b^2+5b+6
c. 5b^2-b-2
d. 5b^2-5b-6
Answers
Just expand out all the brackets
5b^2 - b - 2
Answers
Answers
Answer:
8.6 I think
Step-by-step explanation:
d=√((x_2-x_1)²+(y_2-y_1)²)
Answers
Final answer:
To find the rate at which the lawn sprinkler would fill the pool if used alone, subtract the rate of the hose from the combined rate. The equation is rs = 1/5 - 1/8.
Explanation:
To determine the rate at which the lawn sprinkler would fill the pool if used alone, we can set up an equation using the concept of rates. Let r be the rate at which the sprinkler fills the pool. If it takes 8 minutes for Byron to fill the pool with just the hose, then the rate of the hose alone is 1 pool/8 minutes, or rh = 1/8. If it takes 5 minutes to fill the pool when both the hose and sprinkler are used together, then the combined rate is 1 pool/5 minutes, or rc = 1/5.
The rate of the sprinkler alone, rs, can be determined by subtracting the rate of the hose from the combined rate. Thus, we have rs = rc - rh. Substituting the given values, we have rs = 1/5 - 1/8.
Therefore, the equation that can be used to determine the rate at which the lawn sprinkler would fill the pool if used alone is rs = 1/5 - 1/8.
Learn more about Rate of filling pool with hose and sprinkler here:
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a, f(0)
b. f(6)
Show all of your work
Answers
Answer:
a). f(0) = 4
b). f(6) = 8
Step-by-step explanation:
a). When x < 5, piecewise function to be considered,
f(x) = x + 4
Since, x = 0 is less than x = 5
f(0) = 0 + 4
f(0) = 4
b). When 5 ≤ x < 7,
Piecewise function to be considered,
f(x) = 8
Therefore, for x = 6,
f(6) = 8
Answers
0.05 of the catch = 8 tuna
Divide each side by 0.05 :
the catch = 8 tuna / 0.05 = 160 tuna
100 8 Cross multiply and divide = .4
8* 5% = .4
8* .05 = .4