DIG DEEPER You and
a friend start riding bikes toward each other from opposite ends of a 24-mile biking route. You ride 2 miles every 4 hour.
Your friend rides 7
miles per hour.
a. After how many hours do you meet?
Answer:
1.5 hours
I traveled farther
2 miles
Step-by-step explanation:
My speed
Speed of my friend
Time passed for both me and my friend will be equal if we start at the same time and the combined distance covered by both of us will be 24 miles. Let be the time taken to meet
So, we meet each other after 1.5 hours.
Distance traveled by me
Distance traveled by my friend
You and three of your friends buy tickets for a concert so that you sit together in the same row. Write an expression using factorials that could be used to find the probability that you will get the seat on the far left.
Answer:
[tex]Pr = \frac{1}{4}[/tex]
Step-by-step explanation:
Given
[tex]n = 4[/tex]
Required
Probability that you seat on the far left
First, we calculate the total possible seat arrangements.
This is calculated using:
[tex]Total =n![/tex]
[tex]Total =4![/tex]
[tex]Total =4*3*2*1[/tex]
[tex]Total =24[/tex]
Next, the possible seat arrangements if you seat at the far left.
This implies that you can only seat 1 spot while your friends (3) can seat on any of the remaining 3 seats.
i.e.
[tex]You \to 1[/tex]
[tex]Friend\ 1,2,3 \to 3,2,1[/tex]
The number of arrangement is:
[tex]Arrangement = 1 * 3 *2 *1[/tex]
[tex]Arrangement = 6[/tex]
The required probability is:
[tex]Pr = \frac{Arrangement}{Total}[/tex]
[tex]Pr = \frac{6}{24}[/tex]
Simplify
[tex]Pr = \frac{1}{4}[/tex]
please help me thank you and if you answer please answer my question cause some fo you'll be scamming me for points
Answer:
A
Step-by-step explanation:
Answer:
A. 1cm = 20 yards
Step-by-step explanation:
Divide both by 18:
360/18 = 20
18/18 = 1
1cm = 20 yards
What percent of data is less than 20?
Answer:
100%
Step-by-step explanation:
The answer is 100% because all of the numbers in the data are less than 20. Therefore 100% of the data is less than 20.
Henry has 15 coins in his pocket. 10 of the coins are pennies, 5 of the coins are quarters. Henry pulls one coin from his pocket and, without replacing it, pulls another coin. What is the probability that he pulled two pennies from his pocket?
Answer:
The probility is hight .
Step-by-step explanation:
because there are more pennies then quarters so there's about a 85 to 75% chance
Solve the inequality:
7x + 5 > 20 - 35
Answer:
x>-20/7
Step-by-step explanation:
Answer:
x > 2.8671
Step-by-step explanation:
Let the vector v have an initial point at (3,−2) and a terminal point at (3,−7). Determine the components of vector v
Answer:
(0,-5)
Step-by-step explanation:
Terminal minus initial. (3-3, -7+2) = (0,-5)
x + 2y = 10
x + 3y = 15
Please solve these, I thank you my friends
Write and solve an equation to find the value of x
Answer:
180 - (52 + 28) = x and then x = 100.
Step-by-step explanation:
A triangle's angles must ALWAYS add up to 180. No matter what. So, the problem gives us 2 of the three angles already, 52 and 28. 52 + 28 is 80. As I mentioned before, a triangle's angles must always add up to 180, so to find x, you must subtract 80 from 180, getting 100. Therefore, x is 100 degrees.
The equation we used to find that is: 180 - (52 + 28) = x.
52 and 28 are the two angles we know, and subtracting their sum from 180 gives us the missing angle.
Simplify: (6-21i)-(1-7i)
Answer:
-14i + 5
Step-by-step explanation:
( 6 - 21i ) - ( 1 - 7i )
6 - 21i - 1 + 7i
-21i + 7i + 6 - 1
-14i + 5
19. Linton's rectangular garden is 5 3/4 feet long and 4 1/2 feet wide. What is the area of the garden?
Answer:
20 1/4
Step-by-step explanation:
since 4 1/2 we need to change the denominator 1/2 x 2 = 2/4 now multiply
4 2/4 x 5 3/4 = 20 1/4
At a football match, 25% of the spectators wore red T-shirts and 3750 spectators did not wear red T-shirts. How many spectators were there
Answer:
5000
Step-by-step explanation:
Given data
25% wore red-T shirt
75% did not wear red T-shirt= 3750
Let the total spectator be represented by 100%
Let the total be x
75/100*x= 3750
0.75x= 3750
x= 3750/0.75
x= 5000
Hence thte total number of spectators is 5000
The hight of a regular quadrilateral prism is h=13cm and its lateral area is 624 cm squared. Find the surface area of the prism
Answer:
912 cm^2
Step-by-step explanation:
The total surface area of a 3-dimensional object is the sum of the areas of the faces or surfaces of a 3-dimensional object
Lateral area of a prism = 4 x height x sides
624 = 4 x 13 x s
s = 12
Surface area = 2 x 12^2 + 624
(2 x 144) + 624 = 912 cm^2
can someone help me 3 x 2⁴
Answer:
3 × 2^4
2^4 = 16
3 × 16
= 48
FINAL ANSWER IS : 48
Answer:
48
Step-by-step explanation:
[tex]3 \times {2}^{4} [/tex]
[tex]3 \times (2 \times 2 \times 2 \times 2)[/tex]
[tex]3 \times 16[/tex]
[tex]48[/tex]
Hope it is helpful.....HELP PLEASE ASAP DUE SOON !!!! AND SHOW WORK
Answer:
201.1 square units
Step-by-step explanation:
[tex]A=\pi r^{2}[/tex]
[tex]A=\pi (8^{2})[/tex]
[tex]A=\pi (64)[/tex]
[tex]A[/tex] ≈ [tex]201.0619298....[/tex]
[tex]A[/tex] ≈ [tex]201.1[/tex] square units
for what value of x does g(x)=0
Answer:
That happens at x = 6. ....
Beatrice has 0.28 in her pocket. What percent of dollars does beatrice have
Answer:
28 is equal to 28/100. Therefore, it is 28 percent.
If a system of two linear equations has infinitely many solutions, which of the following statements describes the graph of the corresponding two lines in the Iy-plane?
A The lines are coinciding.
B The lines are intersecting at only one point.
c The lines are parallel.
The lines are perpendicular.
Answer:
A.
Step-by-step explanation:
The lines touch along every point so they are on top of each other.
The given system of equations represent two coinciding lines.
What is a system of linear equations?A system of linear equations is a group of equations having same number of variables and degree.
For the n number of variables n number of equations are required.
On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.
A linear equation in two variables represent a straight line.
As system of equations in two variables can be represented as
a₁x + b₊y + c₁ = 0
a₂x + b₂y + c₂ = 0
When there are two such equations having infinite solutions the relation between the coefficients is given as,
a₁/a₂ = b₁/b₂ = c₁/c₂
It implies that there are infinite points common between them which is possible only when these two lines are coinciding.
Hence, the graph of corresponding two lines in the x- y plane represents coinciding lines.
To know more about system of equations click on,
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Stella rolls a standard six-sided die, numbered from 1 to 6. Which word or phrase describes the probability that she will roll a number less than or equal to 5? \text{impossible}impossible \text{certain}certain \text{unlikely}unlikely \text{likely}likely
The probability of getting a number less than or equal to 5 is 5/6.
What is probability?"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".
For the given situation,
Stella rolls a standard six-sided die, numbered from 1 to 6.
The sample space for rolling a single die = {1, 2, 3, 4, 5, 6}
⇒[tex]n(s)=6[/tex]
The event is getting a number less than or equal to 5.
E = { [tex]{1, 2, 3, 4, 5}[/tex] }
⇒[tex]n(e)=5[/tex]
Thus the probability of getting a number less than or equal to 5,
[tex]P(e) =\frac{n(e)}{n(s)}[/tex]
⇒[tex]P(e)=\frac{5}{6}[/tex]
Hence we can conclude that the probability of getting a number less than or equal to 5 is 5/6.
Learn more about probability here
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Select all expressions that are equivalent to −4(+2)−2+4
A) −6−4
B) −4+2−2+4
C) −10
D) −4−2−8+4
Help me please need help
Answer:
[-9. -8]
[2. 0]
Step-by-step explanation:
all you have to do is multiple each number with the corresponding number in the other column
Answer:
Step-by-step explanation:
-5 6
1 -4
Which angles are supplementary angles?
Answer:
∠RSQ and ∠RSV are supplementary because they form a straight line
Step-by-step explanation:
∠RSQ and ∠WXV are congruent because they are alternate-exterior ∠'s
∠RSQ and ∠UVS are congruent because they are corresponding angles
∠RSQ and ∠TSV are congruent because they are vertical angles
The following box plot shows the number of books sold each day at a store for 80 days. How many days did the bookstore sell 2 to 12 books?
A box plot is drawn with end points at 0 and 16. The box extends from 2 to 12 and a vertical line is drawn inside the box at 7
40
60
70
80
Answer:
It should be 40
Step-by-step explanation:I took the test
Answer:
40:)
Step-by-step explanation:
PLS HELP ME I NEED THIS DONE IN A FEW MINUTES
Answer:
(2,2)
Step-by-step explanation:
Midpoint formula, and plug in the numbers.
Hope this helps.
(x1+x2)/2,(y1+y2)/2
(1+3)/2,(3+1)/2
4/2,4/2
(2,2)
c.) The tires of an automobile have a diameter of 22 in. If the wheels revolve 18 times, how many feet does the automobile move? Evaluate for �� and round to the nearest hundredth. (Hint: use Circumference)
Answer:
396
Step-by-step explanation:
22 x 18 = 396
Final answer 396.
According to a town's census a household's number of visits to a gas station has a mode of 3 visits per week. Jane surveys 20
homes in her neighborhood and finds the mode to be 6 visits. How can she get her survey statistics to more closely approximate
the population parameters?
A)
Choose some different houses to survey.
B)
Get a more random sample from the town.
C
Increase the number of houses that she surveys.
D)
Recalculate because she must have made a mistake.
Answer:B Get a more random person sample from the town
Step-by-step explanation:
9
Solve for x: 5x + 6 = 7
Correct Answer
SHOW HINT
Math
Answer:
1/5 or 0.2
Step-by-step explanation:
5(0.2)+6=7
plug in and multiply :)
Answer:
5x+6=7
or,5x=7-6
or,x=1/5
therefore,x=0.2
I hope this will help you
Mrs. Lee uses 9 cups of water for every
2 cups of rice. How many cups of water
are needed for 5 cups of rice?
WILL MARK BRAINLIEST
Answer:
C
Step-by-step explanation:
50% = half and 5 out of 10 is also half, if you count how many samples it has it adds up to 7 so the answer is 7
Please hurry! Giving branniest to correct answer! 6TH GRADE MATH!
Answer: A C D
Step-by-step explanation: