Answer:
16
Step-by-step explanation:
Alex will run 16 laps in the time it take for Carlos to run 12 laps.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Given are the values related to the number of laps run by Alex and Carlos.
The number of laps run by Alex is forming the multiples of 4 or 4x.
Number of laps run by Carlos is forming the multiples of 3 or 3x.
When x = 1,
Alex : 4 × 1 = 4
Carlos : 3 × 1 = 3
When x = 2,
Alex : 4 × 2 = 8
Carlos : 3 × 2 = 6
When x = 3,
Alex : 4 × 3 = 12
Carlos : 3 × 3 = 9
When x = 4,
Alex : 4 × 4 = 16
Carlos : 3 × 4 = 12
Hence Alex ran 16 laps in the same time for which Carlos ran 12 laps.
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HELP! Ill vote brainliest and 60 pts is on the line!
The Quadratic Formula, x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a, was used to solve the equation. 2x2 − 8x + 7 = 0. Fill in the missing denominator of the solution.
4 plus or minus the square root of 2, all over blank
−16
2
4
14
Answer:
2
Step-by-step explanation:
[tex]2x^2-8x+7=0\\\\[/tex]
a=2
b=-8
c=7
[tex]\frac{8+ \sqrt{16-4(2)(7)} }{4}[/tex]
4±[tex]\sqrt{2}[/tex] /2
Answer:
The answer is 2 hope this helps :3
Step-by-step explanation:
Please show me step by step how to do this
Answer:
The next three terms of the sequence are 17, 21 and 25.
The 300th term of the sequence is 1197.
Step-by-step explanation:
The statement describes an arithmetic progression, which is defined by following formula:
[tex]p(n) = p_{1}+r\cdot (n-1)[/tex] (1)
Where:
[tex]p_{1}[/tex] - First element of the sequence.
[tex]r[/tex] - Progression rate.
[tex]n[/tex] - Index of the n-th element of the sequence.
[tex]p(n)[/tex] - n-th element of the series.
If we know that [tex]p_{1} = 1[/tex], [tex]n = 2[/tex] and [tex]p(n) = 5[/tex], then the progression rate is:
[tex]r = \frac{p(n)-p_{1}}{n-1}[/tex]
[tex]r = 4[/tex]
The set of elements of the series are described by [tex]p(n) = 1 + 4\cdot (n-1)[/tex].
Lastly, if we know that [tex]n = 300[/tex], then the 300th term of the sequence is:
[tex]p(n) = 1 + 4\cdot (n-1)[/tex]
[tex]p(n) = 1197[/tex]
And the next three terms of the sequence are:
n = 5
[tex]p(n) = 1 + 4\cdot (n-1)[/tex]
[tex]p(n) = 17[/tex]
n = 6
[tex]p(n) = 1 + 4\cdot (n-1)[/tex]
[tex]p(n) = 21[/tex]
n = 7
[tex]p(n) = 1 + 4\cdot (n-1)[/tex]
[tex]p(n) = 25[/tex]
The next three terms of the sequence are 17, 21 and 25.
The 300th term of the sequence is 1197.
Need help with the answer
Answer:
volume of cylinder=pi×r²×h
volume of cylinder =3.14×(11ft)²×10ft
volume of cylinder=3799.4ft³
At a certain bus station, 47% of all arrivals are late. Suppose a random
sample of 12 bus arrivals is examined. Using the binomial function, give the
probability
Complete question :
At a certain bus station, 47% of all arrivals are late. Suppose a random
sample of 12 bus arrivals is examined. Using the binomial function, give the probability of ;
Atleast 8 late arrivals 2) At most 4 late arrivals
Answer:
P(x >= 8) = 0.1411 ;
P(x ≤ 4) = 0.2570
Step-by-step explanation:
Using the binomial probability distribution relation :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
p = 47% = 0.47
1 - p = 0.53
n = 12
A.)
Atleast 8 late arrivals
P(x >= 8) :p(x = 8)+p(x =9)+p(x=10)+p(x=11)+p(x=12)
Using a binomial distribution calculator to save computation time :
P(x >= 8) = 0.141096
P(x >= 8) = 0.1411
B.)
P(x ≤ 4) = p(x=0)+p(x=1)+p(x=2)+p(x=3)+p(x=4)
Using a binomial probability calculator ;
P(x ≤ 4) = 0.25697
P(x ≤ 4) = 0.2570
It costs $4.95 to professionally dryclean a pair of slacks. Marcie uses a product that allows her to dry-clean clothes in her own dryer. For about $12, she can dry-clean 16 garments. 1. How much would it cost to have the slacks professionally dry-cleaned 16 times? 2. How much would she save by doing the job herself?
QUICK! WHOEVER GIVES CORRECT ANSWER GETS BRAINLIEST
Answer:
15
Step-by-step explanation:
Answer:
15 cookies
Step-by-step explanation:
10 cookies is equivalent to 2 scoops of flour.
You need to find how many cookies they can make with just 1 scoop of flour.
So, to do that, you'd need to do 10/2, which is 5.
10 represents the number of cookies, and 2 represents the scoops of flour. (5 represents the number of cookies you can make with 1 scoop of flour.)
This will work with any certain amount of flour, just use the equation 5 times X, where X is the amount of flour.
In this certain problem, they gave us the scoops of flour.
Replace X with 3.
3 times 5 = 15.
15 cookies.
Find all the missing sides and angles of this triangle,
А
7
B
70°
The measurement of angle A
A A=
The length of side BC
The length of side AC-
Answer:
See solutions below
Step-by-step explanation:
From the given diagram;
AC = opposite
AB = 7 = hypotenuse
Angle of elevation = 70 degrees
Using SOH CAH TOA
Sin theta = opp/hyp
Sin theta = AC/AB
Sin 70 = AC/7
AC = 7sin70
AC = 7(0.9397)
AC = 6.58
Similarly
tan 70 = AC/BC
tan 70 = 6.58/BC
BC = 6.58/tan70
BC = 6.58/2.7475
BC = 2.39
tan m<A = BC/AC
tanm<A = 2.39/6.58
tan m<A = 0.3632
m<A = 19.96degrees
What is the equation of the above graph in vertex form?
Answer:
https://brainly.com/question/3677306
Step-by-step explanation:
What value of n makes the
equation n x 3/4= 3/16 true
Answer:
1/4
Step-by-step explanation:
Try it if you don't believe me :)
The solution of the linear equation n x (3/4) = 3/16 will be 1/4.
What is the solution to the equation?In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.
The equation is given below.
n x (3/4) = 3/16
The degree of the equation is one. Then the equation will be a linear equation.
Simplify the equation, then the value of the variable 'n' is calculated as,
n x (3/4) = 3/16
n = (3/16) x (4/3)
n = 4/16
n = 1/4
The solution of the linear equation n x (3/4) = 3/16 will be 1/4.
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Solve the inequality below and identify the correct answer: X - 2<-4
Explanation: Its really similar to solving an equation, so all I did was add 2 to both sides :)
A Ferris wheel is 23 meters in diameter and boarded from a platform that is 3 meter
above the ground. The six o'clock position on the Ferris wheel is level with the
loading platform. The wheel completes 1 full revolution in 8 minutes. How many
minutes of the ride are spent higher than 16 meters above the ground?
The sum of the lengths of the sides of triangle ABC is 25 in . The lengths of sides overline AB and overline BC are 9 inches and 8 inches . Find the length of side overline AC and classify the triangle.
Answer:
AC = 8 The classification is isosceles
Step-by-step explanation:
What single or double digit numbers make a SUM of 40?
Please help, I will award brainliest, rate, and thank. Please include all possible answers!!!
No links, no fake answers, you will be reported.
The sum numbers are 1, 2, 4, 5, 8, 10, 20, 40
Write two expressions that are equivalent to 7 x 10 to the -4
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{7\times 10^{-4}}[/tex]
[tex]\rightarrow\mathsf{7\times\dfrac{1}{10\times10\times10\times10}}[/tex]
[tex]\mathsf{= \dfrac{7}{10\times10\times10\times10}}[/tex]
[tex]\mathsf{10\times10\times10\times10=100\times100=10,000=\bf 10^4}[/tex]
[tex]\mathsf{=\dfrac{7}{10^4}}[/tex]
[tex]\mathsf{=\dfrac{7}{10,000}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Possible ANSWERS: }\mathsf{\bf {\dfrac{7}{10^4}\ or \ \dfrac{7}{10,000}}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
bro I NEED HELP FAST
Consider this diagram of quadrilateral ABCD, which is not drawn to scale.
Which two statements must be true based on the information indicated by the diagram?
A. AC=~ BD
B. Triangle ABC =~ Triangle CDA
C.AB =~ DC
D. Angle ABD =~ Angle DBC
Option A,Option B and Option C is correct
What is parallelogram?
Parallelogram is 4 sided closed figure with opposites parallel and equal
Given,AB=CD
AD=BC
Since, its opposite sides are equal, it is a parallelogram.
∴ΔABD≅ΔBCD
AC= BD(By CPCTC)
B. Triangle ABC =~ Triangle CDA ( Since its a parallelogram)
C.AB =DC(Given)
D. Angle ABD =~ Angle DBC(wrong)
Therefore,Option A,Option B and Option C is correct
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Answer:
( B ) △ABC ≅ △CDA
( C ) AB ≅ DC
Step-by-step explanation:
Khan Academy;
ABC = CDA, but ≅ means approximately which is also true.
AB = DC, because the distance matches.
solving for x, please help
Answer:
x = 5,-2
Step-by-step explanation:
Multiply the whole equation by 3(x+1) to get rid of the denominator.
[tex] \large{ \frac{x + 2}{3} \times 3(x + 1) = \frac{2(x + 2)}{x + 1} \times 3(x + 1)} \\ \large{(x + 2)(x + 1) = 2(x + 2) \times 3} \\ \large{ {x}^{2} + 3x + 2 = 6(x + 2)} \\ \large{ {x}^{2} + 3x + 2 = 6x + 12}[/tex]
Then we solve the equation.
[tex] \large{ {x}^{2} + 3x + 2 - 6x - 12 = 0} \\ \large{ {x}^{2} - 3x - 10 = 0} \\ \large{(x - 5)(x + 2) = 0} \\ \large{x = 5, - 2}[/tex]
Since we are also solving rational equation, make sure that x ≠ -1 for this problem. Because if x = -1, the denominator is 0 which is undefined. Since our solutions are x = 5,-2 and not -1. Therefore the answer is x = 5,-2
A company rents out 18 food booths and 26 game booths at the county fair. The fee for a food booth is $100 plus $10 per day. The fee for a game booth is $95 plus $5 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.
Answer:
4,270 + 310d
Step-by-step explanation:
Let
d = number of days
Each food booth = 100 + 10d
18 food booth = 18(100 + 10d)
= 1,800 + 180d
Each game booth = 95 + 5d
26 game booth = 26(95 + 5d)
= 2,470 + 130d
Total amount the company is paid = total cost of food booth + total cost of game booth
= (1,800 + 180d) + (2,470 + 130d)
= 1,800 + 180d + 2,470 + 130d
= 1,800 + 2,470 + 180d + 130d
= 4,270 + 310d
Total amount the company is paid = 4,270 + 310d
what is the absolute value of -l8|
Answer:
-8 i think
Hope you get it right
Answer:
the absolute value of -l8| is 8
Step-by-step explanation:
Absolute value means the opposite
BRAINLIESTTTTT PLZZZZ
Answer:
Slope is -5/3
Step-by-step explanation: when you look at the graph, the line is descending meaning it will be a negative, so we can eliminate the answers that are positive leaving us with 2 options. Then we have to do rise/run, you figure that out by counting how many points the line goes up and to the right or left, and intersects with the line
please help!!!!! simplify
Answer:
Pretty sure it's B
Step-by-step explanation:
Three of these fractions are equivalent: B. 12 C . 21 D. 74 30 A. . 70 Which one is the odd one out?
Answer:
12/30
Step-by-step explanation:
Here is the complete question
Three of these fractions are equivalent A.30/70 B.12/30 C.9/21 D.6/14 which one is the odd one out
to determine the equivalent fractions, convert the fractions to percentage
[tex]\frac{30}{70}[/tex] × 100 = 42.86%
[tex]\frac{12}{30}[/tex] × 100 = 40%
[tex]\frac{9}{21}[/tex] × 100 = 42.86%
[tex]\frac{6}{14}[/tex] x 100 = 42.86%
Another method is to convert the fraction to its simplest form
30/70
To transform to the simplest form. divide both the numerator and the denominator by 10 = 3/7
12/30
To transform to the simplest form. divide both the numerator and the denominator by 6 = 2/5
9/21
To transform to the simplest form. divide both the numerator and the denominator by 3 = 3/7
6/14
To transform to the simplest form. divide both the numerator and the denominator by 2 = 3/7
Using either methods, 12/30 is the odd one out
PLEASE HELP I AM BEING TIMED I NEED THE RIGHT ANSWER AND A EXPLAINTION PLEASE I WILL HIVE YOU THE CROWN
Answer:
B
Step-by-step explanation:
Dependent values would be the numbers on the y axis
Pls help me guysss !!!!
Answer:
First answer choice
Step-by-step explanation:
Answer:
The answer would be A
Step-by-step explanation:
I am the number that is 5,000 greater than the smallest number u can make using six of the digits what number am I?——————————————
Only can use 1 8 3 4 9 6 2 7 I think..
12,351,789
ignore this ------
12346789
+ 5000
----------------
12351789
plzz help i hate mathhh hahah lol
Answer:
same here hyarhaha what to do
Calculate each value for ⊙P. Use 3.14 for π and round to the nearest tenth.
please help!! will mark brainliest!!
Answer:
226.19 inches
Step-by-step explanation:
A drawbridge has the shape of an isosceles trapezoid. The entire length of the bridge is 100 feet while the height is 25 feet. If the angle at which the bridge meets the land is approximately 60 degrees, how long is the part of the bridge that opens?
Answer:
The part of the bridge that opens is 50 ft.
Step-by-step explanation:
The given parameters of the drawbridge are;
The entire length of the bridge = 100 feet
The height of the isosceles trapezoid formed = 25 feet
The angle at which the drawbridge meets the land ≈ 60°
Therefore, the part of the bridge that opens = The top narrow parallel side of the isosceles trapezoid
The length of each half of the bridge = (The entire length)/2 = 100 ft./2 = 50 ft.
Let 'x' represent the path of the waterway still partly blocked by each half of the bridge inclined
∴ x = 50 × cos(60°) = 25
x = 25 ft.
The path covered by both sides of the drawbridge = 2·x = 2 × 25 ft. = 50 ft.
The part of the bridge that opens = The entire length - 2·x
∴ The part of the bridge that opens = 100 ft. - 50 ft. = 50 ft.
The part of the bridge that opens = 50 ft.
There’s a picture of my question plz help :)
Answer:
1,534 inches squared
Step-by-step explanation:
To find surface area we just solve for the area of all the sides and add those together. A rectangular prism (a box like above) has 6 sides. There are...
2 sides each of the following dimensions:
2(13×26)=
2(338)=676
2(13×11)=
2(143)=286
2(26×11)=
2(286)=572
Add the area of all 6 sides...
676+286+572=1,534
Remember it is squared not cubed.
The graph solves this system of equations. Enter the solution in the boxes. –2y = –4x + 8 x + y = 5
Answer:
x=2-y/2
Step-by-step explanation:
The solution of system of equations –2y = –4x + 8 and x + y = 5 is (3, 2).
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given system of equations are –2y = –4x + 8
x + y = 5
x=5-y
Nu=ow plug in this in the first equation
-2y=-4(5-y)+8
-2y=-20+4y+8
Take the variable terms on one side and constant on other side.
-6y=-12
Divide both sides by 6
y=2
Now put in the equation of x
x=5-2=3
Hence, the solution of system of equations –2y = –4x + 8 and x + y = 5 is (3, 2).
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