Answer:
15) f = 18
3f = 54
6f = 108
16) k = 69
Step-by-step explanation:
15)
3f + 6f + f = 180
10f= 180
f = 18
16)
42 + k + k = 180
42 + 2k = 180
2k = 138
k = 69
Answer:
a. Not proportional
b. Proportional;
k = ⅞
Step-by-step explanation:
A proportional relationship is usually represented in the format, y = kx. k here represents constant of proportionality. This shows that x and y are directly proportional.
a. y = -2x + 9 is not a proportional equation.
b. y = ⅞x is a proportional equation.
Constant of proportionality: k = ⅞
Answer:
The inequality is;
p≤ 10.53
where 10.53 is the highest value she can spend on other stationery
Step-by-step explanation:
Here, we want to write an inequality
The amount she has to spend is 33
This means she can spend less than or equal to this amount
she has spent 22.47 and still has p to spend
Mathematically;
p + 22.47 ≤ 33
p ≤ 33-22.47
p ≤ 10.53
Answer:
m = 1
Step-by-step explanation:
<u>2(m+2) - (2m-1)</u> = <u>5</u>
(m+2)(2m-1) 3
2m² -1m + 4m -2 = 3
2m² + 3m - 5 = 0
(2m+5)(m-1) = 0
m = 1 This is the only value that satisfies the equation
m = -5/2
The value of the probability P(A) is 0.40
<h3>How to determine the
probability?</h3>
The given parameters about the probability are
P(A or B) = 0.6
P(B) = 0.3
P(A and B) = 0.1
To calculate the probability P(A), we use the following formula
P(A and B) = P(A) + P(B) - P(A or B)
Substitute the known values in the above equation
0.1 = 0.3 + P(A) - 0.6
Collect the like terms
P(A)= 0.1 - 0.3 + 0.6
Evaluate the expression
P(A)= 0.4
Hence, the value of the probability P(A) is 0.40
Read more about probability at
brainly.com/question/25870256
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