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olganol [36]
2 years ago
5

the following table shows a proportional relationship between a and b . write an equation to describe the relationship between a

and b

Mathematics
2 answers:
trapecia [35]2 years ago
8 0

Answer:

b=2 2/3a

Step-by-step explanation:

FrozenT [24]2 years ago
4 0

The rule of given table is (a÷2)-(b÷3).

Step-by-step explanation:

From the given table it is clear that

8 becomes 3

24 becomes 9

40 becomes 15

Rule

(8÷2)-(3÷3) = (4-1) = 3

(24÷2)-(9÷3) = (12-3) = 9

(40÷2)-(15÷3) = (20-5) = 15

So, the equation will be

(a÷2)-(b÷3)

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PLEASE SHOW YOUR WORK WITH YOUR ANSWER. Two bags had 50 kilograms of sugar each. After taking out 3 times as much sugar from bag
Svetllana [295]

Answer:

Bag 1: 20

Bag 2: 40

Step-by-step explanation:

Let x be the amount taken out of bag 2

Then the amount left in each bag can be written as:

Bag 1: 50-3x

Bag 2: 50-x

Since we know that half of bag 2 is bag 1, that gives us:

50-3x = 1/2(50-x)

-> 50-3x = 25-x/2

Now lets isolate x and solve:

25 = 5x/2

-> 50 = 5x

-> x = 10

So plug x bag in for the original equations:

Bag 1: 50-3x = 50-3(10) = 20

Bag 2: 50-x = 50-10 = 40

4 0
3 years ago
I need help with number 2!! please help!
Maurinko [17]

Answer:

12.68

Step-by-step explanation:

76 degrees /2 = 38

Half the width of 15m forms the lower side of the triangle: 7.5 m

sin(38) = 7.5/h

=12.1820

12.18+.5

12.68

5 0
3 years ago
Given y = 2x + 4, what is the new y-intercept if the y-intercept is decreased by 5? A) −1 B) −3 C) −4 D) −5
elena-14-01-66 [18.8K]
The new y-intercept would be A)-1 because of the 4-5 = -1
3 0
2 years ago
Can we please have some help
Natalka [10]
I believe A=2 and B=6, sorry if I’m wrong
3 0
2 years ago
Emergency 911 calls to a small municipality in Idaho come in at the rate of one every two minutes. Assume that the number of 911
nordsb [41]

Answer: a) 30, b) 0.2138, c) 0.0820

Step-by-step explanation:

Since we have given that

X be the number of calls in 1 hour = 60 minutes

Rate of one call every two minutes.

\lambda=\dfrac{1}{2}

(a) What is the expected number of 911 calls in one hour?

\lambda=\dfrac{1}{2}\times 60=30

(b) What is the probability of three 911 calls in five minutes? If required, round your answer to four decimal places.

\lambda=\dfrac{1}{2}\times 5=2.5

Number of calls = 3

So, P(X=3) is given by

P(X=3)=\dfrac{e^{-\lambda}\lambda^x}{x!}\\\\P(X=3)=\dfrac{e^{-2.5}\times (2.5)^3}{3!}\\\\P(X=3)=0.2138

(c) What is the probability of no 911 calls during a five-minute period? If required, round your answer to four decimal places.

P(X=0)=\dfrac{e^{-2.5}(2.5)^0}{0!}=0.0820

Hence, a) 30, b) 0.2138, c) 0.0820

4 0
3 years ago
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