1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marat540 [252]
3 years ago
5

In a basketball game, Tatiana made 23 baskets. Each of the baskets was worth either 2 or 3 points, and Tatiana scored a total of

53 points. Let x represent the number of two-point baskets she made and y represent the number of three-point baskets she made . Write a system of equations to represent the situation and solve the system to find out how many two point and three point baskets Tatiana made.
Mathematics
2 answers:
vekshin13 years ago
4 0

X+y=23 (x and y added equal the number of baskets made)

2x+3y=53 (since each basket is worth a certain amount of points, x and y must be multiplied by their amount of baskets and added together to get the total number of points)

Hope this helps!



Papessa [141]3 years ago
4 0

Answer:

<h2>Tatiana scored 7 three points baskets, and 16 two-points baskets.</h2>

Step-by-step explanation:

Givens:

  • Tatiana made 23 baskets.
  • x represents the two-point baskets.
  • y represents the three-point baskets.
  • Tatiana scored 53 points.

The expression for the 23 baskets made by Tatiana would be:

x+y=23

In words, the sum of both type of scored baskets sum 23.

The expression for the total points scored would be:

2x+3y=53

In words, baskets of two points and three points sum 53 total points scored by Tatiana.

Now, we isolate x in the first equation and replace it in the second equation:

x=23-y\\2(23-y)+3y=53\\46-2y+3y=53\\y=53-46\\y=7

Replacing this value in the first equation, we have:

x+y=23\\x=23-7=16

Therefore, Tatiana scored 7 three points baskets, and 16 two-points baskets.

You might be interested in
-10w + 12 = -9w + 13<br> What value of w makes the equation true?
nika2105 [10]
W=-15 I hope this helped.
6 0
3 years ago
Suppose that in a random selection of 100 colored candies, 21% of them are blue. The candy company claims that the percentage of
zhannawk [14.2K]

Answer:

The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.

Step-by-step explanation:

The candy company claims that the percentage of blue candies is equal to 29%.

This means that the null hypothesis is:

H_{0}: p = 0.29

We want to test the hypothesis that this is true, so the alternate hypothesis is:

H_{a}: p \neq 0.29

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.29 is tested at the null hypothesis:

This means that \mu = 0.29, \sigma = \sqrt{0.29*0.71}

Suppose that in a random selection of 100 colored candies, 21% of them are blue.

This means that n = 100, X = 0.21

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.21 - 0.29}{\frac{\sqrt{0.29*0.71}}{\sqrt{100}}}

z = -1.76

Pvalue of the test:

The pvalue of the test is the probability of the sample proportion differing at least 0.21 - 0.29 = 0.08 from the population proportion, which is 2 multiplied by the pvalue of Z = -1.76.

Looking at the z-table, z = -1.76 has a pvalue of 0.0392

2*0.0392 = 0.0784

The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.

5 0
3 years ago
Help me how to do this please
Alborosie
The answer is A. C=0 and + = 3
6 0
3 years ago
Which expression is equivalent to the given expression? 4p−8
balu736 [363]
<span>4p−8 = 4 (p-2)

answer is </span><span>d. 4 (p-2)</span>
6 0
3 years ago
Read 2 more answers
How to convert 1 1/2
seraphim [82]

Answer:

3/2

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

2 × 1 = 2

Step 2

Add the answer from Step 1 to the numerator

2 + 1 = 3

Step 3

Write answer from Step 2 over the denominator

3/2

3 0
3 years ago
Other questions:
  • The amounts that two partners invested in a new business are given below. If the partners share the profits in the same ratio as
    8·1 answer
  • Evaluate the expression for 2x+3 for x = 7
    6·1 answer
  • What is the retail price of a couch at a furniture store that has a wholesale price of $115 and is marked up by 75 percent? $86.
    14·2 answers
  • There are 54 players in a beach volleyball club. Nine of the players cannot attend a game night. The coach needs to make even te
    7·1 answer
  • How do you right 0.0001 in expanded form
    5·1 answer
  • 7x(x+1.8)=0 please help !
    6·2 answers
  • Find the minimum value of P=5x+6y subject to the following constraints.<br> Please help me!!
    5·1 answer
  • Is 4:5 (4/5) less, or greater than 19:30 (19/30)?
    6·2 answers
  • What is 1250 cm converted to meters?
    11·2 answers
  • What are the vertical and horizontal asymptotes of f (x) = StartFraction 2 x Over x minus 1 EndFraction?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!