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IceJOKER [234]
3 years ago
12

Anaya makes 14 baskets during her game. Some of these baskets were worth two points and others were worth three points. In total

she scored 30 points. Right and solve a system of equations to find out two points baskets she made
Mathematics
1 answer:
Valentin [98]3 years ago
7 0

Answer:she made 12 two points basket.

Step-by-step explanation:

Let x represent the number of baskets that were worth two points.

Let y represent the number of baskets that were worth three points.

Anaya makes 14 baskets during her game.

This means that

x + y = 14

Some of these baskets were worth two points and others were worth three points. In total she scored 30 points. His means that

2x + 3y = 30 - - - - - - - - - -1

Substituting x = 14 - y into equation 1, it becomes

2(14 - y) + 3y = 30

28 - 2y + 3y = 30

- 2y + 3y = 30 - 28

y = 2

Substituting y = 2 into x = 14 - y, it becomes

x = 14 - 2

x = 12

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Three friends each have some ribbon. Carol has 42 inches of ribbon, Tino has 2.5 feet of ribbon, and Baxter has 1.5 yards of rib
strojnjashka [21]

Answer: Baxter

Step-by-step explanation:

To solve this question, we need to know that:

12 inches = 1 foot

36 inches = 1 yard

The number of ribbon for each person will be:

Carol = 42 ribbons

Tino = 2.5 feet = 2.5 × 12 = 30 ribbons

Baxter = 1.5 yard = 1.5 × 36 = 54 ribbons

Therefore, Baxter has the most ribbon

7 0
2 years ago
Solve for x: <img src="https://tex.z-dn.net/?f=22y%5C3x%3D8" id="TexFormula1" title="22y\3x=8" alt="22y\3x=8" align="absmiddle"
iVinArrow [24]

Answer:

x = 4/(11y)

Step-by-step explanation:

22yx = 8

Solve for x so divide each side by 22y

22xy/22y = 8/22y

x = 4/(11y)

8 0
3 years ago
Read 2 more answers
Of all the people applying for a certain job 75% are qualified and 25% are not. The personnel manager claims that she approves q
Gwar [14]

Answer:

The probability is: 0.8889.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Approved

Event B: Qualified

Probability of a person being approved:

80% of 75%(qualified)

30% of 25%(not qualified). So

P(A) = 0.8*0.75 + 0.3*0.25 = 0.675

Probability of a person being approved and being qualified:

80% of 75%, so:

P(A \cap B) = 0.8*0.75

Find the probability that a person is qualified if he or she was approved by the manager.

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.8*0.75}{0.675} = 0.8889

The probability is: 0.8889.

4 0
2 years ago
If P(A)=0.4, P(A and B)=0.2,and P(A or B)=0.5, What is P(B)
Vladimir [108]

Answer:

\boxed{\ P(B)=0.3 \ }

Step-by-step explanation:

Hi,

We know that

P(A or B)=P(A)+P(B)-P(A and B)

so P(B)= P(A or B) - P(A) + P(A and B)

so

P(B) = 0.5 - 0.4 + 0.2 = 0.3

thanks

6 0
2 years ago
A woman making $3000 per month has her salary reduced by 20% because of sluggish sales. One year later, after a dramatic improve
vichka [17]

Answer:

4%

Step-by-step explanation:

Since she first goes down 20% you would do 3000 times 20 which is 60000 and divided by 100 which is 600 and you would subtract 600 from 3000 which is 2400 and then you would multiply that by 30 which is 72000 and then you would divide by 100 which is 720 and add that to 2400 which is 3120 and to find the percent change from 3000 to 3120 you would subtract 3120 by 3000 which is 120 and you would divide that by 3000 which is 0.04 and multiply that by 100 which is 4 so the percent change would be 4%

8 0
3 years ago
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