Jessie lives in a farm and only has 2 animals, chickens and rabbits. One day he decided to count the total number of heads and legs of his animals. He told his friends that there were 30 heads and 76 legs in all.
How many chickens does Jessie have on his farm?
How many rabbits does Jessie have on his farm?
Let x represent number of rabbits and y represent number of chickens.
We have been given that Jessie told her friends that there were total 30 heads for both animals. This means that there are total 30 animals.
[tex]x+y=30...(1)[/tex]
[tex]y=30-x...(1)[/tex]
We have been given that Jessie only had chicken and rabbits. We know that a rabbit has 4 legs, so total number of legs for x rabbits would be [tex]4x[/tex].
We know that a chicken has 2 legs, so total legs of y chickens would be [tex]2y[/tex].
Since all animals has 76 legs in all, so we can represent this information in an equation as:
[tex]4x+2y=76...(2)[/tex]
Upon substituting equation (1) in equation(2), we will get:
[tex]4x+60-2x=76[/tex]
[tex]2x+60=76[/tex]
[tex]2x+60-60=76-60[/tex]
[tex]2x=16[/tex]
[tex]\frac{2x}{2}=\frac{16}{2}[/tex]
[tex]x=8[/tex]
Therefore, Jessie have 8 rabbits on his farm.
Number of chickens would be [tex]y=30-x\Rightarrow 30-8=22[/tex].
Therefore, Jessie have 22 chickens on his farm.
A 20% acid solution is mixed with 20 liters of a 45% acid solution. How much of a 30% acid solution will result?
Answer:
50 liters
Step-by-step explanation:
If x is the volume of 20% acid, then:
x (0.20) + 20 (0.45) = (x + 20) (0.30)
0.2x + 9 = 0.3x + 6
3 = 0.1x
x = 30
30 liters of 20% acid are needed, so there will be a total of 50 liters of 30% acid.
PLEASE HELP ME I REALLY NEED IT
Answer:
D. The hypotenuse is 10 cm.
Step-by-step explanation:
6²+8²=c²
36+64=c²
100=c²
√100=c
10=c
Find the reference angle of 14 pie over 11
Answer:
Step-by-step explanation:
reference angle=(14 π)/11-π=(14-11)π/11=3π/11
Find the surface area of the prism 3m 16m and 6m
Answer: The correct answer is 105.42 or 105
Step-by-step explanation:
Apollo does 240 push-ups in 5 minutes. How many push-ups can Apollo do in 1 minute
Answer:
48
Step-by-step explanation:
240/5 = 48
Answer:
48 push ups in 1 minute
Step-by-step explanation:
We can use a ratio to solve
240 pushups
-----------------------
5 minutes
Divide each by 5
48 pushups
--------------------
1 minutes
Olivia flips a two-sided counter and then spins a spinner with six equal-size sections labeled 1 through 6. One side of the counter is red. The other side is yellow. She performs this experiment 80 times. The relative frequency of tossing red and spinning a number greater than three was 25 . What is the difference between the number of expected outcomes and the number of actual outcomes?
Answer:
The difference between the number of expected outcomes and the number of actual outcomes = 5
Step-by-step explanation:
She tosses a two sided counter and spins a spinner with six equal sized sections numbered 1 to 6.
Probability of the counter landing on either of the two sides is exactly = (1/2)
Probability of the counter landing on the red side = (1/2)
Probability of the spinner landing in a region greater than 3 = Probability of the spinner landing in a region of 4, 5 or 6. = (3/6) = (1/2)
In one toss and spin, the probability of a toss landing on red and the spinner landing on a number greater than 3 = p = (1/2)×(1/2)
p = (1/4)
Expected number of times that a toss will land on a red and a spinner will land on a number greater than 3 in 80 trials
= np = 80 × (1/4) = 20
Number of actual times that the toss lands on a red and a spinner lands on a number greater than 3 in 80 trials = 25
The difference between the number of expected outcomes and the number of actual outcomes = 25 - 20 = 5
Hope this Helps!!!
can someone pls help me with this it's due today!!(you get Brainlist and 10 ponits!)
Answer:
First table: y=x+5
Second table: y=x+3
Step-by-step explanation:
Subtract the x value from y to find the relationship between the two numbers.
Hope this helps!
Answer:
Y=X+5 Y=X+3
Step-by-step explanation:
2+5=7
3+5=8
4+5=9
5+5=10
6+5=11
0+3=3
1+3=4
2+3=5
3+3=6
4+3=7
What is the true solution to the logarithmic equation?
log2[log2 (4x)) - 1
x=-4
X-0
X-2
X=4
Answer:
x=4
Step-by-step explanation:
Answer:d
Step-by-step explanation:
Which point could be on the line that is perpendicular to Line M N and passes through point K? (0, −12) (2, 2) (4, 8) (5, 13)
Answer:
B: (2,2)
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
If each quadrilateral below is a rectangle find the missing measure in #5
Answer:
What do you mean by #5?
Step-by-step explanation:
Surface area of a cylinder radius is 2 and height is 3
Answer:
62.83 cm squared
Step-by-step explanation:
A = 2πrh+2πr^2
A = 2π(2)(3)+2π(2)^2
A = 2π(6)+2π4
A = 12π+8π
A = 20π
A = 20(3.14)
A = 62.83 cm squared
!! HELP ASAP!!
A stack of wood 4 feet wide, 8 feet long, and 4 feet high is equal to 1 cord of wood. How many cords would a pile 4 feet wide, 16 feet long, and 4 feet high contain?
Answer:
2 cords
Step-by-step explanation:
Answer:2 cords
Step-by-step explanation:
Pythagorean Theorem: Find the diagonal length of the soccer field.
Answer:
6600 yrds
Step-by-step explanation:
sorry if its wrong
A circle with a radius of 1 unit and center C at (-2, 1) is reflected across the x-axis. What are the coordinates of C?
(2, 1)
(2,-1)
(-2,4)
(-2,-1)
Answer: b
Step-by-step explanation:
Mr. Knotts found the difference of the following expression. Which statement is true about Mr. Knotts’s work?
StartFraction x Over x squared minus 1 EndFraction minus StartFraction 1 Over x minus 1 EndFraction
Step 1: StartFraction x Over (x + 1) (x minus 1) EndFraction minus StartFraction 1 Over x minus 1 EndFraction
Step 2: StartFraction x Over (x + 1) (x minus 1) EndFraction minus StartFraction 1 (x + 1) Over (x + 1) (x minus 1) EndFraction
Step 3: StartFraction x minus x + 1 Over (x + 1) (x minus 1) EndFraction
Step 4: StartFraction 1 Over (x + 1) (x minus 1) EndFraction
In step 1, he did not correctly factor the denominator.
In step 2, he did not use the correct common denominator.
In step 3, he did not distribute the negative sign when he subtracted.
In step 4, he did not correctly subtract the numerator.
Answer:
He did not distribute the negative sign when he subtracted.
Step-by-step explanation:
x-(x+1) is equal to a -1. He did not distribute the negative.
In third step, he did not distribute the negative sign when he subtracted. Then the correct option is C.
What is Algebra?Algebra is the study of graphic formulas, while logic is the interpretation among those signs.
Mr. Knotts found the difference of the following expression.
The expression is given below.
[tex]\rm \rightarrow \dfrac{x}{x^2-1} - \dfrac{1}{x -1}[/tex]
Then the first step of the expression will be
[tex]\rm \rightarrow \dfrac{x}{(x+1)(x-1)} - \dfrac{1}{x -1}[/tex]
The second step of the expression will be
[tex]\rm \rightarrow \dfrac{x}{(x+1)(x-1)} - \dfrac{1(x+1)}{(x+1)(x -1)}[/tex]
The third step of the expression will be
[tex]\rm \rightarrow \dfrac{x - (x +1)}{(x+1)(x-1)}\\\\\rm \rightarrow \dfrac{x - x -1}{(x+1)(x-1)}[/tex]
In third step, he did not distribute the negative sign when he subtracted.
Then the correct option is C.
More about the Algebra link is given below.
https://brainly.com/question/953809
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what is the median of 40,33,37,54,41,34,27,39,35
Answer:
It's 37
Step-by-step explanation:
The given data set is ;
40,33,37,54,41,34,27,39,35
We arrange the data set in ascending order to obtain;
{27,33,34,35,37,39,40,41,54}
The median is the middle number {37}
Jackson is having a birthday party and has $60 to spend. it costs $40 to buy decorations and he wants to buy pizza for each of his friends. if each slice of pizza cost $1.75, how many friends can he invite to his party? Write and solve and inequality to represent the situation
Answer:
11 FRIENDS
Step-by-step explanation:
Jackson has 60$, and he spends 40$ on decal, that leaves him 20 dollars. And if each slice of pizza costs 1.75, you would divide 20$ by 1.75$.
1.75/20 = 11.4...
Fond the equation of the line shown
Answer:
y+-1/2x-1
Step-by-step explanation:
The line is negative
It rises one digit and runs 2
and it crosses though -1 on the y axis
Bess took several excellent pictures of Mount St. Helens' eruptions. She decided to sell her enlarged pictures at different prices from $3 to $5.
If she sold 50 pictures, which of these is a reasonable estimate of the money she could make?
O A $90 to $150
O B. $150 to $250
OC. $120 to $200
OD. $160 to $300
OE. $300 to $500
please help!!!! thank you
Answer:
9 c^7
Step-by-step explanation:
Answer:
27c^2-4
Step-by-step explanation:
27c to the 2nd power minus 4
Stephanie has 9 pairs of blue pants, 2 pairs of white pants, 3 pairs of black pants, and 4 pairs of brown pants. If she chooses one pair of pants, what is the probability that they are not brown?
Answer:
14/18 or about 0.78%
Answer:
4/18 if there are 9 blue 2 White 3 black and 4 Brown you add them all together and get 18 the probability would be 4 out of 18 because there are four pairs of brown pants out of 18 pants all together
THIS IS URGENT!
What is the solution to the system graphed below?
Answer: (-4, -1)
Step-by-step explanation: Since these lines are already graphed, we are looking for their point of intersection. This point where the two lines intersect will represent the x and y that is the solution to this system of equations.
The two lines intersect in quadrant III
where x and y are both negative.
When finding the coordinates of a given point,
be very careful with your signs.
Let's just do a quick review on the coordinate system. On the x-axis, left means negative and right means positive and on the y-axis, down means negative and up means positive.
So to find the coordinates for this point, we start at the origin.
Then we move to the left 4 and down 1 so that's (-4, -1).
So the solution to this system is (-4, -1).
Find the area and the circumference of a circle with radius 7 ft.
Use the value 3.14 for a, and do not round your answers. Be sure to include the correct units in your answers.
Areal
Circumference:
Answer:
circumfrence : 43.96 area :153.94
Step-by-step explanation:
Which of the following formulas is used to calculate the probability of independent events A and B?
A. P(AUB) = P(A) + P(B)
B. P(AUB) = P(A) P(B)
C. P(A and B) = P(A) + P(B)
D. P(A and B) = P(A) P(B)
The angular velocity of a fan blade is 6.2 radians per second.
Approximately how many revolutions does the fan blade make in 1.6 minutes?
Enter your answer, rounded to the nearest tenth of a revolution
Answer:
94.7 revolutions
Step-by-step explanation:
In the question above, we are given the following values for the fan
Angular velocity = 6.2 radians per seconds
Time = 1.6 minutes.
Step 1
We would convert the time given to seconds
1 minute = 60 seconds
1.6 minutes = ?
We cross multiply
1.6 minutes × 60 seconds
= 96 seconds
Step 2
Number of revolutions made by the fan is calculated as :
Angular velocity(rad/s)
× time(seconds)
Number of revolutions = 6.2 radians per seconds × 96 seconds
=595.2 radians
Converting from radians to revolution
1 radian = 0.159155 revolutions
595.2 radians =
Cross multiply
= 595.2 radians × 0.159155 revolutions
= 94.729056 revolutions.
Approximately to the nearest tenth = 94.7 revolutions.
Therefore, the number of revolutions the fan blade makes in 1.6 minutes is 94.7 revolutions.
1.6 minutes is 1.6 x 60 = 96 seconds.
Its angular velocity is 6.2 radians per second: 6.2 radians/second x 96 seconds = 595.2 radians.
One revolution of the fan is one circumference of the fan, which is 2pi radians.
Dividing 595.2 radians by 2pi radians gives us an answer of 94.7 revolutions.
Math question down below
Answer:
10 and 1/4
Step-by-step explanation:
range is the largest # - smallest #
Answer:
D
Step-by-step explanation:
Range = Maximum value - minimum value
[tex]=12\frac{3}{4}-2\frac{1}{2}\\\\=\frac{51}{4}-\frac{5}{2}\\\\=\frac{51}{4}-\frac{5*2}{2*2}\\\\=\frac{51-10}{4}\\\\=\frac{41}{4}\\\\=10\frac{1}{4} in[/tex]
First convert mixed fraction to improper fraction. Find LCM and subtract
The data below show the numbers of hours Mrs. Diaz volunteered at the library each month
for eight months.
20, 12, 27, 23, 18, 20, 30, 26
The mean of the data set is 22 hours. What is the mean absolute deviation of the data?
4.5
2
4
2.2
Answer:
A. 4.5
Step-by-step explanation:
Given:
20, 12, 27, 23, 18, 20, 30, 26
Mean = 22
Required:
Calculate the Mean Absolute Deviation (M.A.D)
Since, we have the mean; we start calculating M.A.D by subtracting the mean from each data
20 - 22 = -2
12 - 22 = -10
27 - 22 = 5
23 - 22 = 1
18 - 22 = -4
20 -22 = -2
30 - 22 = 8
26 - 22 = 4
The we find absolute value of the result above
|-2| = 2
|-10| = 10
|5| = 5
|1| = 1
|-4| = 4
|-2| = 2
|8| = 8
|4| = 4
Lastly, we calculate the mean of the above to give M.A.D
[tex]M.A.D = \frac{2 + 10 + 5 + 1 + 4 + 2 + 8 + 4}{8}[/tex]
[tex]M.A.D = \frac{36}{8}[/tex]
[tex]M.A.D = 4.5[/tex]
Option A is correct.
The value of the mean absolute deviation is 4.5 hours if the mean of the data set is 22 hours, option first is correct.
What is the mean absolute deviation?It is defined as the measure to show the variation in data set in other words between the mean and every data value, the distance is known as the MAD.
We have data:
20, 12, 27, 23, 18, 20, 30, 26
Mean of the data X = 22 hours
∑(x - X) = 36
MAD = 36/8 = 4.5 hours
Thus, the value of the mean absolute deviation is 4.5 hours if the mean of the data set is 22 hours.
Learn more about the mean absolute deviation here:
brainly.com/question/10528201
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A clothing store donated a percent of every sale to hospitals. The total sales were $6,500 so the store
donated $260. What percent of $6,500 was donated to hospitals?
I’m literally confused
What is the following quotient? Square root 120/ square root 30
2
4
210
3/10
Answer:
2
Step-by-step explanation:
sqrt(120)/ sqrt(30)
We know that sqrt(a)/ sqrt(b) = sqrt(a/b)
sqrt(120/30)
sqrt(4)
2
