A professional basketball team must play a total of 85 came before the playoffs begin. The team has played 3/5 of the scheduled games, if the team plays 10 more games, what is the total number of games they will have played
After calculating the number of games already played as a fraction of the total and adding 10 more games, it is determined that the team will have played 61 games.
Explanation:The subject of this question is Mathematics, particularly it involves operations with fractions. The team has played 3/5 of the total scheduled games. So let's calculate how many games that would be by multiplying the total number of games, 85, by 3/5:
The team has already played 85 * 3/5 = 51 games.
If the team plays 10 more games, we need to add this to the number of games already played:
51 (already played games) + 10 (more games) = 61 games.
Therefore, the total number of games the team will have played after 10 more games is 61 games.
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-1 ≥ -8; Multiply both sides by -2
Write an inequality to represent this situation: The temperature stayed above -15 degrees.
When finding out if 2 triangles are congruent, is it possible to only use a side and angle if those are the only 2 provided? Help ASAP please.
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r. Jones took a survey of college students and found that 60 out of 65 students are liberal arts majors. If a college has 8,943 students, what is the expected number of students who are liberal arts majors?
Here, we need to calculate the expected number of students who are liberal arts major.
It is given that, 60 out of 65 students are liberal arts major.
So, we will calculate the percentage of liberal arts major from the total.
Percentage of liberal arts major = [tex] \frac{Number of liberal arts major}{Total students} [/tex] X 100
Percentage of liberal arts major = [tex] \frac{60}{65} [/tex] X 100
Percentage of liberal arts major = 92.31 %
Now, we will calculate for 8,943 liberal arts majors -
In total students of 8,943, liberal arts majors = 92.31 % X 8,943
In total students of 8,943, liberal arts majors =8,256 students (approximately)
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(7,1,9,52,12,25,9,7,7)what are the outliers?
A 25 foot ladder leans against a wall 7 feet from the base of the wall. How high does the ladder touch?
The height formed by this 25 foot ladder that leans against a wall is 24 feet.
Given the following data:
Length of ladder (hypotenuse) = 25 foot.Adjacent = 7 feet.What is Pythagorean Theorem?Pythagorean theorem can be defined as a fundamental mathematical expression in Euclidean geometry that can be used to determine any of the three (3) sides of a right-angled triangle.
Mathematically, Pythagorean's Theorem is given by this formula:
[tex]h^2 = a^2 + b^2[/tex]
Where:
h is the hypotenuse.a is the adjacent side.b is the opposite side.Substituting the given parameters into the formula, we have;
[tex]h^2 = a^2 + b^2\\\\25^2 = 7^2 +b^2\\\\625=49+b^2\\\\b^2=625-49\\\\b=\sqrt{576}[/tex]
b = 24 feet.
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1) In a trapezoid ABCD with legs
AB
and
CD
, the diagonals intersect each other at point O. Compare the areas of: ΔABD and ΔACD
and then
2) In a trapezoid ABCD with legs
AB
and
CD
, the diagonals intersect each other at point O. Compare the areas of:
ΔABO and ΔCDO
pleassssee help
Answer:
1) Area of ΔABD = Area of ΔACD and
2) Area of ΔABO = Area of ΔCDO
Step-by-step explanation:
1) In the given trapezoid ABCD,
AD || BC
Triangles ΔABD and ΔACD lie on the same base AD and lie between the parallel lines AD and BC.
Hence, they are equal in area.
Therefore, Area of ΔABD = Area of ΔACD.
2) From 1), we have
Ar (ΔABD) = Ar(ΔACD)
Subtract Ar (ΔAOD) from both sides,
Ar (ΔABD) - Ar (ΔAOD) = Ar(ΔACD) - Ar (ΔAOD)
Ar (ΔABO) = Ar (ΔCDO)
what is the relationship of 7 and -7
Use the law of cosines to explain why c^2=a^2+b^2 for triangle ABC, where angle C is a right angle.
Which of the following equations represent a proportional relationship
a: y=12.5x
b: y= 4x-1
c: x+y=3
d: y=3x (squared)
Which substance traps pathogens and prevents them from entering the deeper tissue of the body? tears
Answer:
Mucus
Step-by-step explanation:
If the sum of three numbers is 144, what is the average of the three numbers?
Final answer:
The average of three numbers that sum to 144 is 48, found by dividing 144 by 3.
Explanation:
The average of three numbers is the sum of those numbers divided by three. In this case, if the sum of three numbers is 144, then the average can be found by dividing 144 by 3. Calculating this, we get the average, which is 48 (144 ÷ 3 = 48). Hence, the average of the three numbers is 48.
How many prime numbers between 8 and 60 leave a remainder of 2 when divided by 6?
A) 0
B) 1
C) 4
D) 6
E) 7
A bag contains a total of 25 marbles. Five of the marbles are blue, 3 are red, 8 are green, and 9 are white. If a marble is drawn from the bag and then replaced 50 times, about how many times would a green marble be drawn?
A. 4
B. 8
C. 16
D. 24
In a recent fundraising campaign, Rise Over Run received 20 checks of various amounts to donate to their favorite charities. Olive uses this spinner to determine which charity will receive each check.
About how many of the 20 checks should arise Over Run expect to go to their TreeHuggers Campaign ?
Answer:
6 checks
Step-by-step explanation:
The expected number of checks out of 20 checks that should arise Over Run expect to go to their TreeHuggers Campaign is given by: Option D: 6 checks.
How to find that a given condition can be modeled by binomial distribution?Binomial distributions consists of n independent Bernoulli trials.
Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Suppose we have random variable X pertaining binomial distribution with parameters n and p, then it is written as
[tex]X \sim B(n,p)[/tex]
The probability that out of n trials, there'd be x successes is given by
[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
The expected value and variance of X are:
[tex]E(X) = np\\ Var(X) = np(1-p)[/tex]
For this case, we're specified that:
The spinner has 10 parts.
3 belong to Treehuggers2 belong to Ameriteach5 belong to Paws of PeaceThus, the probability of getting the spinner fall on treehugger is 3/10 (three favorable parts of spinner to ten total parts, all parts assumingly equally probable and spinner assumingly not falling in the mid of two parts).
20 checks, all will be accompanied with 20 spins, all independent of each other.
Let X = total number of times the spinner falls on Treehuggers
And let Success for a spin = It landing on Treehugger
Failure for a spin = It not landing on Treehugger
Probability of success = p = 3/10 = 0.3Probability of faillure = 1-p = 7/10 = 0.7n = 20, so we get:
[tex]X \sim B(n=20,p=0.3)[/tex]
The expected number of checks out of 20 checks that should arise Over Run expect to go to their TreeHuggers Campaign = expected number of successes in those 20 spins = the expected number of values of X.
Since X follows a binomial distribution, we get:
[tex]E(X) = np = 20 \times 0.3 = 6[/tex]
Thus, the expected number of checks out of 20 checks that should arise Over Run expect to go to their TreeHuggers Campaign is given by: Option D: 6 checks.
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how do I find circumference
Given the two expressions shown below:
square root of 64 plus square root of 5
square root of 64 plus square root of 4
Which statement best describes the two expressions?
Both are rational.
Both are irrational.
A is rational, but B is irrational.
A is irrational, but B is rational.
Answer:
A is rational, but B is irrational.
Step-by-step explanation:
Examine the system of equations. y = –3x – 2, y = 7 The value of x is . The solution to this system of equations is .
The value of x is -3 and the solution to this system of equations is (-3 , 7).
When a number of variables are involved, the system of equation is generated. The system of equation has been the set of simultaneous equations as well.
Given :
[tex]y = -3x-2[/tex] ---- (1)
[tex]y=7[/tex] ----- (2)
Solution :
From, equation (1) and (2) we get the value of x to be:
[tex]7=-3x-2[/tex]
[tex]9=-3x[/tex]
[tex]x=-3[/tex]
Therefore, the value of x is -3.
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There are 16 pink jelly beans in a bag. The ratio of red to pink jelly beans in the bag is 3/4. Which proportion could NOT be used to find r, the number of red jelly beans in the bag
Can someone please help me with this?
What’s the largest fraction in each group?
a. 5⁄6 and 29⁄36
b. 5⁄12 and 3⁄8
c. 2⁄5 and 19⁄45
d. 5⁄7, 13⁄14, and 19⁄21
e. 7⁄11 and 9⁄121
f. 1⁄2, 3⁄18, and 4⁄9
just answer no need to explain.
at the pet shelter,for every 7 dogs there are 5 cats.what is the ratio of dogs to cats?
a.5:7
b.7:5
c.7:12
d.12:7
Written as a percent , what is the probability of getting an odd number on a spinner with 5 equal parts numbered 1 to 5
The probability of getting an odd number on a spinner with 5 equal parts numbered 1 to 5 is, 60%
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
We have to given that;
To find the probability of getting an odd number on a spinner with 5 equal parts numbered 1 to 5.
Since, From 1 to 5, there are three numbers 1, 3, 5 are odd numbers.
Hence, the probability of getting an odd number on a spinner with 5 equal parts numbered 1 to 5 is,
P = 3/5
Change into percent as;
P = 3/5 x 100%
P = 60%
Thus, the probability of getting an odd number on a spinner with 5 equal parts numbered 1 to 5 is, 60%
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Anthony purchased 6 fruit bars and 3 chocolate-nut bars for a camping trip. He spent $4.12 on the bars. Anthony wrote the following equation: . What did he define as the variable x?
write an expression that represent the sum of r and 7
Final answer:
The expression that represents the sum of r and 7 is written simply as r + 7. This is a basic operation in algebra involving the addition of a variable and a constant.
Explanation:
To write an expression that represents the sum of r and 7, you simply add these two together. The mathematical expression for this is r + 7. This is a basic algebraic expression that demonstrates how to represent the addition of a variable, in this case r, with a constant number, which is 7.
just say answer, no need to explain! Thanks!
Max donated 16 dog collars to the dog shelter. Mia donated some leashes. How many items does Mia need to donate that would require you to regroup to find the total number of items donated?
Mia can donate up to 4 leashes without requiring regrouping to find the total number of items donated.
To determine how many leashes Mia needs to donate such that you would need to regroup to find the total number of items donated, we need to know the maximum capacity of the shelter's storage or the maximum number of items that can be comfortably accommodated without regrouping.
If we assume that the shelter's storage can hold a maximum of 20 items comfortably without needing to regroup, then we can calculate the number of items Max and Mia can donate without regrouping:
Max donated 16 dog collars, and the shelter can accommodate 20 items without regrouping. So, Max has donated within the capacity without needing to regroup.
Now, let's see how many leashes Mia can donate without exceeding the capacity:
20 (maximum capacity) - 16 (Max's donation) = 4
Mia can donate up to 4 leashes without requiring regrouping to find the total number of items donated. If Mia donates more than 4 leashes, you would need to regroup to calculate the total number of items donated.
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