MODELING REAL LIFE Forty-five basketball players participate in a three-on-three tournament. Write and solve an equation to find the
number x of three-person teams in the tournament.
An equation that represents this problem is
= 45
They can form
three-person teams.
Answer:
3x = 45
they can form 15 three-person teams
Step-by-step explanation:
45 / 3 = 15
35% of students take spainsh or engineering. 30% of students take Spanish. 25% of students take engineering. What is the probability that a student takes Spanish and engineering?
Answer:
0.2 = 20% probability that a student takes Spanish and engineering
Step-by-step explanation:
We solve this question treating the probabilities as Venn sets.
I am going to say that:
Event A: Student takes Spanish
Event B: Student takes Engineering.
35% of students take spainsh or engineering.
This means that [tex]P(A \cup B) = 0.35[/tex]
30% of students take Spanish.
This means that [tex]P(A) = 0.3[/tex]
25% of students take engineering.
This means that [tex]P(B) = 0.25[/tex]
What is the probability that a student takes Spanish and engineering?
This is [tex]P(A \cap B)[/tex].
These probabilities are related by the following formula:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
So
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]
Replacing the values
[tex]P(A \cap B) = 0.3 + 0.25 - 0.35 = 0.2[/tex]
0.2 = 20% probability that a student takes Spanish and engineering
A plane flying horizontally at an altitude of 3 miles and a speed of 460 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 4 miles away from the station. (Round your answer to the nearest whole number.)
Answer:
10
Step-by-step explanation:
cuz i know okay sheeesh
Combine the like terms to create an equivalent expression:
-3x - 6+ (-1)
Stuck? Watch a video or use a hint.
Answer: -3x-7
Step-by-step explanation:
Factor the expression using the GCF of each term, and the distributive property in reverse. Show your work using the text tool, or writing it neatly on paper and uploading an image of your work.
5x+30
Answer:
cjvwxvjct3i3frjobkb dxe khr2fohc2ohcf2pjr fpfvivohcr2jcrn
A number, x, rounded to 1 decimal place is 3.7
Write down the error interval for x.
Answer: (3.65, 3.74)
Step-by-step explanation:
Now, when we round a number to a given decimal place, we need to look at the decimal to the left of the decimal place where we are rounding.
if it is 5 or more, we round up
if it is smaller than 5, we round down.
Then for example, if we want to round:
4.534
to the first decimal place, we need to look at the second decimal place.
we can see that it is a 2.
Then we round down, and get:
4.5
Now we know that, when rounding to the first decimal place, we have:
x = 3.7
Then the maximum value that x could have is:
x = 3.74 (because here we round down to 3.7)
and the minimum value that x could have is:
x = 3.65 (because here we round up to 3.7)
Then the error interval for x is:
(3.65, 3.74)
I need this please help me
The pre-image of pentagon PENTA is rotated 90° clockwise about the origin to create the image of pentagon P'ENTA. Which statement is true?
A. The sum of the angle measures of pentagon PENTA are less than the sum of the angles measures of pentagon P'ENTA
B. After the rotation has been completed, all of the coordinates of the image will be in Quadrant
C. Each side length of pentagon P'ENTA' is twice as long as each corresponding side length of pentagon PENTA.
D. The area of pentagon PENTA is the same as the area of pentagon P'E'NTA
HELP ! pleaseee I’ve been trying & I still don’t know
Answer:
y = 1 over 2 x + 15
Step-by-step explanation:
Find the measure of angle T for the kite below
Answer:
Angle T = 43°
Step-by-step explanation:
118+118+81 = 317
360-317 = 43
Two friends receive some money in the ratio 1 to 2.
One friend receives £45 more than the other.
How much money was shared in total?
Answer:
£135
Step-by-step explanation:
£90 + £45
2:1
hope its correct and helped:)))))))))
Answer:
135
Step-by-step explanation:
Which operation should be performed first to simplify the expression below?
19 - 2 \times 8 \div 4 + 6
A
Addition
B
Subtraction
C
Multiplication
D
Division
Answer:
D) division
Step-by-step explanation:
find the inequality represented by the graph
Answer:
y is greater than or equal to -2x-5
Step-by-step explanation:
First find the slope which is -2x and then find the y-intercept which is -5 and then you can just test out if its greater than or equal to, or less than or equal to. To do this you just fill in the point 0,0 and if you do that you should get 0 is greater than (you can ignore the "or equal to") -5 and is that true? Yes it is! so then the side of the line that the point 0,0 is on should be shaded and since it is your answer is right!
Hope this helped!
is a single money that grows interest overtime to a larger sum brainly
Step-by-step explanation:
while both types of interest that grows every time over time
simplfy 2(v-4)-5v helpp meee
Step-by-step explanation:
2(v-4)-5v
= 2v-8-5v
= -3v-8
si una matriz tiene una fila o columna de cero su determinante es
Answer:
lo mismo
Step-by-step explanation:
la columna s de ceros , es lo mismo ESPERO Y TE AYUDE :)
Josephine lives in a
castle 5 miles north of Earl, and Alexander lives 12 miles east of Earl. How many miles away do
Josephine and Alexander live from each other?
5. Scott planted 20% of a garden with roses. What is the area of
the section of the garden that is planted with roses?
Bob wants to buy a TV that costs $100. He plans to save $5 per week. How many weeks w will it take Bob to save $100?
Answer:
he will have to save 5 dollars for 20 weeks
Step-by-step explanation:
5 x 20 = 100
create an expression whose value will be 14 when X =-3
Answer: 2x + 20
Step-by-step explanation:
2x + 20
2 (-3) + 20
-6 + 20 = 14
The expression (2 * X) + 20 will have a value of 14 when X = -3.To create an expression that evaluates to 14 when X = -3, we can use a combination of arithmetic operations.
Let's start with the variable X = -3.
One possible expression is:
(2 * X) + 20
Substituting X = -3:
(2 * (-3)) + 20 = -6 + 20 = 14
Therefore, the expression (2 * X) + 20 will have a value of 14 when X = -3.
To know more about arithmetic operations:
https://brainly.com/question/30553381
#SPJ2
Explain why Plan B is the better
choice for Dylan if he only has $50
to spend on video games, including
a membership fee.
Answer: According to the graph, Bobby can get 14 games under Plan B but he can only get 12 games under Plan A.
According to the graph, if Bobby plans to spend $65, then both plans will give him the same number of games because that is the point where the two plans are the same.
Step-by-step explanation:
If 10% of a number is 2 less than 20% of the same number, then 80% of the
number equals __
Answer:
254
Step-by-step explanation:
bcDSHWDJHgvshjg
Mellie Grant started cleaning the swimming pool at the Country Club at 10:30 a.m. and completed her assignment at 3:15 p.m.. How long did it take her?
Answer:
The answer should be 225 minutes
Step-by-step explanation:
There are 12 negative charges and 8 positive charges. Which integer represents the total value of the charges?
Answer:
-4
Step-by-step explanation:
-12 + 8
-4
Jackson bought snacks for his team's practice. He bought a bag of apples for $2.74
and a 10-pack of juice bottles. The total cost before tax was $26.14. How much was
each bottle of juice?
Answer:
each bottle of juice costs $2.34
Step-by-step explanation:
2.74+10x=26.14
10x=26.14-2.74
10x=23.40
x=23.40/10
x=2.34
Please help me!!!!!!!!!!!!!!
x + 14 = 113 x=______ solve the question
Answer:
x=99
Step-by-step explanation:
Move all terms not containing x to the right side of the equation.
hideki is draining a 45 gallon aquarium at a rate of 15 gallons per minute what is the initial value of the linear function that represents the situation ?
Answer:
45.
Step-by-step explanation:
Since Hideki is draining a 45 gallon aquarium at a rate of 15 gallons per minute, to determine what is the initial value of the linear function that represents the situation, the following calculation must be performed:
45 (starting number) - 15(number of gallons per minute) X(minutes) = Y
Therefore, the equation would be 45 - 15X = Y, with which the initial value of the linear function that represents the situation is 45.
solve: 2(5x + 3)= 25
solve : 2(5x + 3) = 25
SOLUTION:▶️2(5x + 3) = 25
▶️ 2 × 8x = 25
▶️ 16x = 25
▶️ x = 25/16
▶️ x = 1.5625
ANSWER:1.5625
Step-by-step explanation:
Step 1:
2(5x+3)=25
(2)(5x) + (2)(3)=25 (distribute)
10x+6=25
Step 2:
10x+6 - 6 = 25 - 6
10x =19
Answer :
X=19 of 10
Simplify and write your answer in scientific
notation.
(3 X 10^6)^3
Answer:
(3 × 10⁶)³ is equal to 2.7 × 10¹⁹
Step-by-step explanation:
You can solve this by raising both terms in the brackets to the power of three:
(3 × 10⁶)³
= 3³ × 10⁶ˣ³
= 27 × 10¹⁸
= 2.7 × 10¹⁹