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kondaur [170]
3 years ago
15

The rate at which a plant grows is constant. At the 3rd week it is 12 inches tall and at the 5th week it is 20 inches tall. If t

his information is plotted on a coordinate plane, what is the y-coordinate of the the point (1, y)?
A) 1
B) 2
C) 4
D) 9
Mathematics
1 answer:
mote1985 [20]3 years ago
4 0
Answer: C) 4. Explanation: Since the rate is constant, you can find the y coordinate by simplifying the given coordinates. Image that the graph is (week, height), which means that the given points are (3, 12) and (5, 20). Put these into a fraction, and simplify them to get x as 1. y/x = 12/3 = 4, and 20/5 = 4. Since the rates are consistent with 4 when simplified to get the x variable to 1, that means that the y coordinate of (1, y) is 4.
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James had a business mowing lawns for $25 per lawn and raking leaves for $0.75 per pile. His goal is to earn exactly $37 each ti
Marizza181 [45]

Answer:

Step-by-step explanation:

3 0
3 years ago
Phonesmart is having a sale on Bananas. If you buy one Banana at full price, you get a second at half price. When couples come i
Mice21 [21]

Answer:

<u>The probability that a couple buys a pair of Bananas is 1/3 or 33.3%</u>

Step-by-step explanation:

Let's recall that the formula of probability is:

Probability = Number of favorable outcomes/Total number of possible outcomes

What is the probability that a couple buys a pair of Bananas?

For answering this question, we first need to calculate the probability of buying a first Banana, given that when couples come in to buy a pair of phones, sales of Apricots and Bananas are equally likely:

Probability of buying a first Banana = 1/2

Probability of buying a first Apricot = 1/2

Now, we can calculate the probability of buying a second Banana, given that the second phone is twice as likely to be a Banana rather than an Apricot.

Probability of buying a second phone = 1

Probability of buying a second Apricot = x

Probability of buying a second Banana = 2x

Solving for x, we have:

x + 2x = 1

3x = 1

x = 1/3 ⇒ 2x = 2/3

Thus, probability of buying a second Banana = 2/3

Finally,

Probability that a couple buys a pair of Bananas = Probability of buying a first Banana * Probability of buying a second Banana

Replacing with the values we know:

Probability that a couple buys a pair of Bananas = 1/2 * 2/3 = 2/6 = 1/3

1/3 = 33.3%

<u>Probability that a couple buys a pair of Bananas = 1/3 or 33.3%</u>

6 0
3 years ago
The simplest form of the square root of 3,025 is
yanalaym [24]
3025 is a perfect square, so just take the square root.
sqrt(3025) = 55
5 0
3 years ago
Read 2 more answers
PROBLEM SOLVING You are participating in an orienteering competition. The diagram shows the position of a river that cuts throug
Wewaii [24]

Answer:

The shortest distance is 2.2 miles      

Step-by-step explanation:

we know that

The shortest distance you must travel to reach the river is the perpendicular distance to the river

step 1

Find the slope of the line perpendicular to the river

we have

y=3x+2

The slope of the river  is m=3

Remember that if two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is -1)

therefore

The slope of the line perpendicular to the river is

m=-1/3

step 2

Find the equation of the line into point slope form

y-y1=m(x-x1)

we have

m=-1/3

point(2,1)

substitute

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

step 3

Find the intersection point of the river and the line perpendicular to the river

we have

y=3x+2 ------> equation A

y-1=-(1/3)(x-2) -----> equation B

Solve the system by graphing

The intersection point is (-0.1,1,7)

see the attached figure

step 3

Find the distance between the points (2,1) and (-0,1,1.7)

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

substitute

d=\sqrt{(1.7-1)^{2}+(-0.1-2)^{2}}

d=\sqrt{(0.7)^{2}+(-2.1)^{2}}

d=2.2\ miles

6 0
3 years ago
1) Solve the following equation for x: 2x-5=7<br> A) 1 B) 6 () 24<br> D 4<br> 0 0 0 0
harina [27]

Answer:

x = 6

Step-by-step explanation:

Given

2x - 5 = 7 ( add 5 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

5 0
3 years ago
Read 2 more answers
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