Answer:
24
Step-by-step explanation:
Given that:
Total number of members who race = 18
Ratio of racers to divers = 6 : 2
To find:
Total number of members of the team = ?
Solution:
Given the ratio = 6 : 2
As per the ratio given, we can let the number of racers = [tex]6x[/tex]
and
As per the ratio given, we can let the number of divers = [tex]2x[/tex]
As the swim team members can either race or dive, we can say that:
Total number of members on the team = Number of racers + Number of divers
Total number of members on the team = [tex]6x+2x=8x[/tex]
As per the question statement, we are given that:
[tex]6x=18\\\Rightarrow x =\dfrac{18}{6}\\\Rightarrow x =3[/tex]
Therefore, total number of team members = 8 [tex]\times[/tex] 3 = 24
What is the slope of the line whose equation is y-4=-
4=$(x-2)?
-6
5-
-4
(2,4)
-2
-1-
5 -5 -3 -2 -
4 5 6
Х
160,t1)
...6
The slope of the line is m = 5/2
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 2 , 4 )
Let the second point be Q ( 0 , -1 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 4 - ( -1 ) ) / 2
m = ( 4 + 1 ) / 2
m = 5/2
Hence , the slope is m = 5/2
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ7
2400 people attended a football game. If 4% of the people who attended were teenagers, how many teenagers attended the game?
In △ABD, altitude AC¯¯¯¯¯ intersects the right angle of triangle ABD at vertex A. BC=2.3 in. and CD=5.7 in..
What is the length of AC¯¯¯¯¯?
Enter your answer in the box. Round your answer to the nearest hundredth.
in.
Answer:
3.62
Step-by-step explanation:
AC=[tex]\sqrt{(CD)(BC)}[/tex]
AC= [tex]\sqrt{2.3 * 5.7}[/tex]
AC = [tex]\sqrt{13.11}[/tex]
AC= 3.62
#3, #19, and #16 please!!
Question 2 (2 points)
Which of the following trend lines best matches the scatterplot?
Answer:
trend line or line of best fit is best described as a line that approximates the relationship between the sets of data of a scatter plot.
hope this helps and i didn't read it wrong
Step-by-step explanation:
why are you still doing school tho
which table is a linear function please help!
Enter the number that makes the equation true.
17
0.54 +
100
100 = 100 + 100
Answer:
this question makes no sense
Step-by-step explanation:
This question doesn’t make sense, fix it
u need to help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeev plz
Answer:
a=$12
b=$12
c=$13
d=$12
8. 4x + 3y = 17 8x - 6y = 34 if its infinite or no solution?
Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Show that quadrilateral ABCD is a Parallelogram by finding the lengths of the opposite side pairs
Answer:
BC is the length of ad
Step-by-step explanation:
The quadrilateral ABCD is a Parallelogram BC is 8 units in length.
What is a parallelogram?A simple quadrilateral with two sets of parallel sides is known as a parallelogram. In a parallelogram, the opposing or facing sides are of equal length, and the opposing angles are of equal size.
The following information is missing in the question:
AB= 4x
CD= 2y
AD= y + 4
BC= 2y
Given that ABCD is a parallelogram, then the opposite sides are congruent. That means:
AB = CD -> 4x = 2y (eq. 1)
BC = AD -> 2y = y + 4 (eq. 2)
Solving equation 2:
2y = y + 4
2y - y = 4
y = 4
Solving equation 1:
4x = 2*4
x = 8/4
x = 2
This means that:-
BC = 2 x 4 = 8 units length
CD = 2 x 4 = 8 units length
AB= 4 x 2 = 8 units length
AD= 4 + 4 = 8 units length
Hence, the quadrilateral ABCD is a Parallelogram BC is 8 units in length.
To know more about parallelograms follow
https://brainly.com/question/14258175
#SPJ6
A rental car company claims the mean time to rent a car on their website is 60 seconds with a standard deviation of 22 seconds. A random sample 36 customers attempted to rent a car on the website. The mean time to rent was 55 seconds. Is this enough evidence to say that the mean time is less than the company's claim? Consider α=0.05.
Answer:
Since the calculated value of Z does not fall in the critical region we accept our null hypothesis that mean = 60 seconds
Step-by-step explanation:
State the null hypothesis
H0: u = 60against the claim
Ha u≠ 60 (this is a two tailed test)
Sample size n= 36
Sample mean=X`= 55
Population mean = u= 60
The significance level α = 0.05
Standard deviation= Sd = 22 seconds
Z= X`- u / Sd /√n
Z= 55- 60 / 22/√6
z= - 5/22/6
Z= -1.3635
The value of z from the table is Z∝/2= ±1.96
The critical region is less than - 1.96 and greater than 1.96.
Since the calculated value of Z does not fall in the critical region we accept our null hypothesis that mean = 60 seconds
bob the builder is making 480 kg of concrete mix
concrete is made by mixing cement, sand and gravel in the ratio 1 : 3 : 4
how much sand does he need?
Answer:
180 kg
Step-by-step explanation:
The ratio is
cement : sand : gravel
1 : 3 : 4
If he used 1 kg cement, 3 kg sand, and 4 kg gravel, he'd get 8 kg of concrete.
He wants to make 480 kg of concrete.
480/8 = 60
He needs 60 times more concrete than the numbers in the ratio.
60 * 3 kg = 180 kg
Answer: 180 kg
Answer:
If sand is 3 in the ratio, it is 180kg
Step-by-step explanation:
480/8=60 60 times 3 is 180
HELP ME PLS I NEED TO PASS THIS CLASS
Answer: y= x + 4
Step-by-step explanation:
The equation would have its y intercept at 4 and it’s x intercept at -4
i need help but I need to show work.
Answer:
56
Step-by-step explanation:
f(x)= 3x² -2x
f(-4)= 3*(-4)² -2(-4)
= 3*16 +8
=48+8
=56
The daily cost of production in a factory is calculated using c(x)= 200+16x, where x is the number of complete products manufactured. Find the average rate of change between 5 and 8 conpleted products manufactured
A: -1/16
B: 3
C: 16
D: 48
Answer:
D: 48
Step-by-step explanation:
Daily cost of production; c(x) = 200 + 16x
when the number of complete products manufactured is 5, the cost is:
c(5) = 200 + 16(5)
= 200 + 80
= 280
c(5) = 280
When the number of complete products manufactured is 8, the cost is:
c(8) = 200 + 16(8)
= 200 + 128
= 128
c(8) = 328
Average rate of change = c(8) - c(5)
= 328 - 280
= 48
Thus, the average rate of change is 48.
pls help I need this done asap
Would you like me to add them separately or should i add both answer together after?
Step-by-step explanation:
Pleast help i dont understand
True or false 3√-27 + or-3
[tex] \sqrt[3]{ - 27 } = + ( - )3[/tex]
Leonel has $25.00 to spend. He decided to buy a hat for $18.75 and spend the rest on wristbands. If each wristband costs $4.75, how many wristbands can Leonel buy?
Mrs. Speas has $138 in her bank account during Week #1. At the end of each week, she deposits $55 into her bank account.
What is the first term?
What is the difference?
What is the iterative rule for the amount of money Mrs. Speas has after n weeks? (you are NOT required to simplify)
Answer:
1) The first term is $138
2) The difference is $55
3) The iterative rule for the amount of money Mrs. Speas has after n weeks is 27.5·n² + 110.5·n
Step-by-step explanation:
The mount Mrs. Speas has in her bank account = $138
The amount of money she deposits each week = $55
The amount of money in Mrs. Speas account therefore, forms an Arithmetic Progression
1) The first term = a = The initial money Mrs. Speas has in her bank account = $138
2) The (common) difference = d =The amount she deposits at the end of each week = $55
The iterative rule for the amount of money Mrs. Speas has (in her bank account) after n weeks is given by the formula for the sum of an arthmetic progression (AP), Sₙ, as follows;
[tex]S_n = \dfrac{n}{2} \times \left [2 \times a + (n - 1)\times d \right ][/tex]
Substituting the values of a and d gives;
[tex]S_n = \dfrac{n}{2} \times \left [2 \times 138 + (n - 1)\times 55 \right ] = \dfrac{n}{2} \times \left [221 + n \times 55 \right ] = 110.5\cdot n + 27.5 \cdot n^2[/tex]
∴ 3) The amount of money she has after n weeks = Sₙ = 27.5·n² + 110.5·n.
Whoever solves this question and gets it RIGHT FIRST, I'll put them down as a BRAINLIEST!!
x: -2 -1 0 1 2 3
y: 4.5 4 3.5 3 2.5 2
To solve just substitute the given values of x and find y.
i hope this helps! :D
if you toss 3 coins whats the possibility of getting all to land on the same side?
=================================================
Explanation:
The probability of getting all heads is (1/2)*(1/2)*(1/2) = 1/8
The probability of getting all tails is 1/8 for identical steps as above.
The probability of getting all to land on the same side is 2*(1/8) = 1/4
5. A can of soup has a volume of 12 fluid
ounces. About how many milliliters is
this?
pls help ill mark brainliest
Answer: BBBBBB
Step-by-step explanation:
Answer:
B. 0.38
Step-by-step explanation:
4.50 divided by 12 = 0.375
0.375 rounded is 0.38
BRAINLIEST PLEASE
What is the slope of line that passes through the points
Answer:
m = -3.6 / -9.5 = 0.37895
Step-by-step explanation:
find the equation of a line parallel to y = 3x - 6, passing through the point (-6, -7).
y = 3x + 11
y = 3x - 11
y = 3x - 7
y = -1/3x - 9
Parallel lines have the same a slope. Therefore if
k: y = 3x - 6 → slope = 3
and l: y = mx + b
l || k ⇔ m = 3
l: y = 3x + b
We have the point (-6, -7). Put the coordinates to the equation:
-7 = 3(-6) + b
-7 = -18 + b add 18 to both sides
11 = b → b = 11
Answer: y = 3x + 11
Mrs. Bosch's science club left the school on a bus at 7:48 a.m. to go to Orlando. Mrs. Bosch drove her own car and did not leave the school until 8:40 a.m. The bus traveled at an average rate of 80 kilometers per hour. What was Mrs. Bosch's average speed, to the nearest kilometer per hour, if she met up with the bus when they stopped for lunch at 1:00 p.m.?
which pair of numbers has the greatest common factor to 14
2 & 7
because 2 x 7 = 14
sorry if this wasnt what you were looking for, have a nice day :)
-2/3-1/2 pls help I’m so dumb rn lol
BRAINLIEST + FRIEND IF U ANSWER MY QUESTION!!
Answer:popular sovereignty
Step-by-step explanation: this is because when the bill is passed sovereignty is within
Answer: This will be A .
Step-by-step explanation:
