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taurus [48]
3 years ago
11

Someone, please help !! these are direct and inverse variations, algebra 2. i need them asap !

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
3 0

Answer:

3, 20, 2, and 2.5

Step-by-step explanation:

For each question, they gave you an x and y value. If you substitute them into the equation and then solve for k, you get your answer.

On the first one, x is 12 and y is 1/4. If you put those into the equation they gave you y = k/x, you get 1/4 = k/12

3/12 is 1/4 so the first k is 3.

Second one y = k/x. x is 4 and is 5. So 5 = k/4

20/4 is 5, so the second k is 20.

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A math teacher randomly selects one student in a class to write a probability question on a chalkboard. The teacher then randoml
Fittoniya [83]

Answer:

The probability to the nearest thousandth is 0.386

Step-by-step explanation:

Firstly, we will need to know the number of girls and the total number of students in the class.

We have the ratio as 3:5 for boys and girls with the number of boys being 18

What we have is thus;

3:5 = 18:g

3/5 = 18/g

3g = 90

g = 90/3

g = 30 girls

Thus, we have 18 boys and 30 girls with a total of 48 students.

The probability that the teacher selects a girl to write the question on the board is 30/48 = 5/8

Now, we intend selecting another girl to answer the question. This is like a probability without replacement. So this means that the number of girls we have now is 29 and the number of students we are selecting from is 47 students

Thus, the probability of selecting a girl to answer the question becomes 29/47

The joint probability is thus; 29/47 * 5/8 = 145/376 = 0.3856

To the nearest thousandth, we have 0.386

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3 years ago
Six more than the quotient of a number be in 30 is greater than three
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3 years ago
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Can someone please help?? (assume that no variable equals 0)
Scorpion4ik [409]
I think this is answer?

5 0
3 years ago
(3.) If it costs $4.20 per square foot to installthe deck, what is the cost for plan A? PlanB?
Yuri [45]

Answer:

Step-by-step explanation:

I have reproduced a diagram of the question in the attachment.

To do a price comparison, we simply find the areas of both the deck and garden in Plan A and Plan B.

In Plan A,

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Garden measures 9 feet by 12 feet

Area of Garden = 12 X 9 =108 square feet

Area of Deck (in Gray) = (18 X 25) - (12 X 9) =450-108 =342 square feet

Cost of Garden =$1.40 X 108=$151.2

Cost of Deck = $4.20 X 342=$1436.4

Total Cost for Plan A= $151.2+ $1436.4=$1587.6

In Plan B

Deck Measures 16 feet by 20 feet

Garden has a radius of 5 feet

Area of Garden = =\pi r^{2}=  \pi X5 X 5=78.5 square feet

Area of Deck (in Gray) = (16 X 20) - ( \pi X5 X 5) =320-78.5 =241.5 square feet

Cost of Garden =$1.40 X 78.5=$109.9

Cost of Deck = $4.20 X 241.5=$1014.3

Total Cost for Plan B= $109.9+ $1014.3=$1124.2

Total Cost for Plan A=$1587.6

Total Cost for Plan B=$1124.2

Plan B is less expensive by $1587.6-$1124.2= $463.4

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3 years ago
Pep Boys has one on sale for $79.99 and the tax rate is 7.75%. You pay with a Benjamin. How much change will you get back?
nexus9112 [7]

Answer:$13.82

Step-by-step explanation:

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$100-$86.18=$13.82

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