Answer:
[tex]y=\frac{x}{2} -5[/tex]
Step-by-step explanation:
Linear functions are those whose graph is a straight line.
A linear function has the following form: [tex]y=f(x)=a+bx[/tex]
A linear function has one independent variable and one dependent variable.
The independent variable is x and the dependent variable is y.
The degree of a linear equation must be 0 or 1 for each of its variables.
1. The degree of the variable y is 1 which means it is not linear.
2. The degree of the variable y is 1 and the degree of variable x is 1 so it is linear.
3. The degree of the variable y is 1 and the degree of the variable x is 2 so it is not linear.
4. The degrees of the variable violates the linear equation definition so it is not linear.
24 boys, 45 girls and 281 adults are the members of a badminton club.
50 more children join the club.
The number of girls is now 18% of the total number of members.
How many of the 50 children were boys?
24+45+281+50=400
(45+n/400)×100=18
45+n=18×4=72
n=72-45=27
50-27=23.
hope it's correct
23 of the 50 children added were boys. The answer is 23 boys
Given that 24 boys, 45 girls and 281 adults are the members of a badminton club.
Total number of people as members of badminton = 24 + 45 + 281 = 350
Percentage of girls = girls/total number x 100
% of girls = 45/350 x 100
% of girls = 12.9%
If 50 more children join the club, and the number of girls is now 18% of the total number of members. Then, the new total number of members will be
New total members = 350 + 50 = 400
Let g = new added girls from the children
Percentage of girls = girls/total number x 100
18 = (g + 45) / 400 x 100
18/100 = (g + 45) / 400
cross multiply
0.18 x 400 = g + 45
72 = g + 45
make g the subject of formula
g = 72 - 45
g = 27 girls
To get the number of boys added, take 27 away from the 50 children. That is,
The number of boys added = 50 - 27 = 23 boys
Therefore, 23 of the 50 children added were boys
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A food company puts exactly 10 sliced carrots in each bag of frozen vegetables. Let b represent the number of bags of frozen vegetables and c represent the total number of sliced carrots. The table shows the relationship between b and c. Which equation below represents the relationship between b and c?
Answer:
c = 10*b
Step-by-step explanation:
We know that in each bag, we have exactly 10 sliced carrots.
so if b represents the number of bags, and c the number of sliced carrots, for each one of the b bags we will have 10 sliced carrots, then for b bags, we have b times 10 carrots:
c = 10*b
So for example, if we have one bag, b = 1
c = 10*1 = 10
So in one bag, there are 10 carrots.
if instead, we have 3 bags, b = 3
c = 10*3 = 30
in 3 bags we have 30 carrots.
Then the equation that represents the relationship between b and c is:
c = 10*b
or
b = c/10
PLEASE ANSWER ASAP!!! I WILL MAKE YOU BRAINLIST Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
15
Step-by-step explanation:
a^2 + b^2 = c^2
20^2 +b^2 = 25^2
400 + b^2 = 625
-400 -400
b^2 = 225
b = √225
b = 15
A sample of radium has a weight of 1.5 mg and decays
by half every 6 years. Circle all of the following
functions that correctly model the amount of radium
f(t) in mg remaining after t years
Answer: [tex](b)[/tex]
Step-by-step explanation:
Given
Initial mass of radium is [tex]A_o=1.5\ mg[/tex]
It decays by half every 6 years i.e. [tex]T_{\frac{1}{2}}=6[/tex]
For radioactive decay, sample at any time is given by
[tex]\Rightarrow A=A_o2^{-\dfrac{t}{T_{\frac{1}{2}}}}[/tex]
Insert the values
[tex]\Rightarrow A=1.5\cdot 2^{\dfrac{-t}{6}}\\\\\Rightarrow A=1.5\cdot \left(\dfrac{1}{2}\right)^{\dfrac{-t}{6}}\\\\\Rightarrow A=1.5\cdot (0.5)^{\dfrac{t}{6}}[/tex]
Thus, option (b) is correct.
Solve.
(3- y) (2 y– 9)=0
(If there is more than one solution, separate them with commas.)
Answer:
3 , 9/2
Step-by-step explanation:
(3- y) (2 y– 9)=0
y=3 , y= 9/2
Karen and Caroline saved up a total of $61. They decided to spend $25 on candy and $17 on ice cream. How much money did Karen and Caroline have left?
Answer:
$19
Step-by-step explanation:
$61-$25=$36-$17=$19
Find the volume of the following cone. Area of base = 54 cm?
A) 180
B) 422.54
C) 513.33
Answer:
The volume of the cone is of 18h, in which h is the height of the cone.
Step-by-step explanation:
Volume of a cone:
The volume of a cone with base area [tex]A_b[/tex] and height h is given by:
[tex]V = \frac{A_bh}{3}[/tex]
Area of base = 54 cm
This means that [tex]A_b = 54[/tex] and thus:
[tex]V = \frac{54h}{3} = 18h[/tex]
The volume of the cone is of 18h, in which h is the height of the cone.
3. Given the bar chart below,
(a) draw a frequency table from the graph.
(b) calculate the mean mark.
(c) what is the modal mark?
(d) find the median mark.
(e) if a student is selected at random, what is the probability that he/she scored
not less than 3 marks?
7
Frequent
п
0
-
0
3
5
N
6
6
Marks
Answer: shehshywhwyw
Step-by-step explanation:
help it's due tomorrow
answer: 72
wordswordswords
Which equation can be used to find the length of the missing side x?
What is the approximate area, rounded to the nearest square inch, of the frame only? Use 3.14 for 1
Answer:
Step-by-step explanation:
area of square=l^2
=12^2
=144 in.^2
Could someone please help me because I am rubbish at maths?
15% of £40
the answer of this equation is 6
Answer:
£6.00
Step-by-step explanation:
15/100×40
=£6.00
Plz help me well mark brainliest if correct
Answer:
387 is the answar because number of milk sold on monday is 212 and in tuesday 175
212+175=387
Answer:
387
Step-by-step explanation:
The addition of milk sold on monday with milk sold on tuesday
which is
212+175=387
please help:) thank you
What is diameter d in meters if the distance around the track is 400 meters round your answer to the nearest tenth
The sum of a number and twenty-one is sixty-four.
What is the value of the number?
The number equals
Answer:
43
Step-by-step explanation:
64-21= 43 :))))) ez
Answer:
43
Step-by-step explanation:
I hope you pass your test!
EDG2021 <3
A teacher is comparing the quarter grades between two of her classes. She takes a random sample of 8 students from each class and lists the grades as shown. Find the mean for Class A.
Class A: 80, 83, 74, 91, 76, 87, 93, 72
Class B: 90, 75, 82, 86, 73, 85, 79, 94
Trish and Aria are walking to raise money for the school library. Trish has walked 38 miles and walks 10 miles each week. Aria has walked 30 miles and walks 12 miles each week. Part A Drag numbers to complete the table to show the number of miles each girl has walked after each week. Numbers may be used once, more than once, or not at all. 5638907848426658 Name Start Week 1 Week 2 Week 3 Week 4 Week 5 Trish 68 88 Aria 30 54 Part B After how many weeks will Trish and Aria have walked the same number of miles? A. 2 weeks B. 3 weeks C. 4 weeks D. 5 weeks
Answer:
4 weeks
Step-by-step explanation:C. 5 weeks 90+48 138
88+40 138
Step-by-step explanation:
s
In which quadrant is the value of the x coordinate of a point on the unit circle always greater than the y coordinate
A. First quadrant
B. Second quadrant
C.third quadrant
D. Fourth quadrant
The correct option is second quadrant.
what is unit circle?A circle having a radius and length of one is known as a unit circle. However, it frequently includes additional bells and whistles. Right triangle relationships known as sine, cosine, and tangent can be defined on a unit circle. These correlations explain the connections between the sides and angles of a right triangle.
Given:
x coordinate of a point on the unit circle always greater than the y coordinate.
So, We know that in the second quadrant of unit circle case has x coordinate of a point on the unit circle always greater than the y coordinate.
Hence, the correct option is second quadrant.
Learn more about unit circle here:
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Every given minute an ameba is equally likely to do one of 3 things: (1) Die (2) Divide into two (3) Stay the same. If the ameba divides, each of the two cells will continue the above cycle independently. What is the probability that the ameba colony generated from a single cell will eventually die out.
Required:
What is the probability that the ameba colony generated from a single cell will eventually die out?
Answer:
1
Step-by-step explanation:
we have the probability of dyng = 1.3
we have probability of ying =
p0 = p1 = p2 = p3 = 1/3
d = dying
[tex]d=\frac{1}{3} (1+d+d2)[/tex]
we cross multiply from here
3d = 1+d+d2
3d-d = 1+d2
2d = 1 + d2
(d-1)2 = 0
2d - 2 = 0
2d = 2
divide through by 2
d = 1
therefore there is a a confirmed probability that the ameba from a single cell is eventually going to die out.
what is the value of the function when X equals four? on a coordinate plane.
Solution :
From the given graph the x-intercept is 2 and y-intercept is -1 .
So, equation of line in intercept form is :
[tex]\dfrac{x}{2} + \dfrac{y}{-1} = 1\\\\x - 2y = 2[/tex]
[tex]y = \dfrac{x-2}{2}[/tex]
Now, putting x = 4 in above equation, we get :
[tex]y = \dfrac{4-2}{2}\\\\y = 1[/tex]
Therefore, the value of function at x =4 is 1 .
3. Solve for each power. 4 to the third power.
Answer:64
Step-by-step explanation:
Answer: 4 to the third power is represented as:
4^3 = 64
Hope this helped!
HELP NEEDED!! QUESTION BELOW
Answer:
A
Step-by-step explanation:
The values will increase because the multiplier is greater than 1 (1.05).
does anyone know the answer to this i need help really bad!!!
Step-by-step explanation:
1/20.5 is yr ansstay safe healthy and happy...
You are the manager of a movie theater, and you are
analyzing attendance data from last weekend. On
Friday evening, 285 people come to see a new
animated movie. On Saturday evening, 355 people
come to see the same movie.
What is the approximate percent increase in
attendance?
Answer:
total number of people on Friday = 285
total number of people on Saturday = 355
total increment = 355-285 = 70
total increase percentage = 70÷285*100
= 24.56%
hope it helps!
Ralph rolls a single die two times in a row. What is
the probability that he will roll a "three" both times?
Answer:
1/18 i think
Step-by-step explanation:
The probability of occurring 3 both times will be 1/36.
What is probability?
The probability of an event occurring is defined by probability.
Probability is also called the chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.
Do not take underestimate probability it has several uses in daily life whether forecasts or like that.
Probability of occurring 3 for the first time ⇒
number of outcomes/number of sample
Sample space {1,2,3,4,5,6} and outcome is 3
So,
P = 1/6
Probability of occurring 3 in second time⇒
number of outcomes/number of sample
Sample space {1,2,3,4,5,6} and outcome is 3
So,
P = 1/6
So,
Probability of occurring 3 both times = 1/6 × 1/6 = 1/36
Hence "The probability of occurring 3 both times will be 1/36".
For more information about the probability,
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Plz help me well mark brainliest if correct..???
Answer:
23 students letter d ran the 50 yard dash
Answer:
18
Step-by-step explanation:
the time of the students:
23,24,24,28,32,32,34,35,37,37,38,41,43,56,55,55,56,61
there are 18 number so 18 students did it
Find the length of side y.
y=_ft
Answer:
y = 5.66388 feet, (round that to whatever you need to round to)
Step-by-step explanation:
cos (51) = y/9
cos(51)*9=
y = 5.66388 feet
Plz help me well mark brainliest if correct.....
.......????
Answer:
C) The mean is about 100.
Step-by-step explanation:
We see that the best fit line (out of the options listed) would be y=100. The mean can also be algebraically calculated with the following equation:
Let [tex]a[/tex] be the mean (average) of the values:
[tex]a=\frac{75+50+100+125+75+150}{6}=95.8\overline{3}[/tex], which is closest to answer choice C) The mean is about 100.
please help me i really need help[ please
Answer:
70.69
Step-by-step explanation:
Area = [tex]\pi r (r + \sqrt{h^2+r^2} )[/tex]
Area = [tex]\pi (2.5) (2.5 + \sqrt{(6)^2+(2.5)^2} )[/tex]
Area = 70.68583471
Area = 70.69