Answer: 6 animals should go in each pen.
Step-by-step explanation:
Total sheep = 54
Total cows = 24
Total pigs = 30
Highest number of animals are possible in each pen such that animals are distributed in pens with the same number = Greatest common divisior (54,24, 30)
54= 6 x 9
24= 6 x 4
30 = 6 x 5
So, Greatest common divisior (54,24, 30) = 6
Hence, 6 animals should go in each pen.
Jacob had a six-sided number cube. Each side was labeled with one number, from 1
through 6. What is the probability that Jacob rolls a prime number?
Round to the nearest tenth.
Answer:
1 out of 6 because you have only one chance to get 4.
Step-by-step explanation:
Answer:
50% chance
Step-by-step explanation:
A prime number is a number that a natural number greater than 1 that is not a product of two smaller natural numbers. And the only prime numbers between 1 and 6 are 2,3, and 5. This is 3 numbers. So he has a chance of 3/6 =.5=50%
5.
Which of the following equations has the sum of its roots as 3?
(A) 2x² – 3x + 6 = 0
(B) - x²+ 3x - 3 = 0
(C)√2x²-3/√2x+1
(D) 3x² – 3x + 3 = 0
Answer:
B
Step-by-step explanation:
Given a quadratic equation in standard form, ax² + bx + c = 0 ( a ≠ 0 )
Then the sum of the roots = - [tex]\frac{b}{a}[/tex]
A 2x² - 3x + 6 = 0
with a = 2 and b = - 3
sum of roots = - [tex]\frac{-3}{2}[/tex] = [tex]\frac{3}{2}[/tex] ≠ 3
B - x² + 3x - 3 = 0
with a = - 1 and b = 3
sum of roots = - [tex]\frac{3}{-1}[/tex] = 3 ← True
C [tex]\sqrt{2}[/tex] x² - [tex]\frac{3}{\sqrt{2} }[/tex] x + 1
with a = [tex]\sqrt{2}[/tex] and b = - [tex]\frac{3}{\sqrt{2} }[/tex]
sum of roots = - [tex]\frac{-\frac{3}{\sqrt{2} } }{\sqrt{2} }[/tex] = [tex]\frac{3}{2}[/tex] ≠ 3
D 3x² - 3x + 3 = 0
with a = 3 and b = - 3
sum of roots = - [tex]\frac{3}{-3}[/tex] = 1 ≠ 3
Thus the equation with sum of roots as 3 is B
Question 4 of 8
Consider the recursive function of an arithmetic sequence below.
f(1) = 3
f(n) = f(n − 1) + 4, for n = 2, 3, 4,...
What is the 6th term of the sequence?
19
23
27
22
Submit
Answer:
[tex]\large \boxed{\sf \ \ 23 \ \ }[/tex]
Step-by-step explanation:
Hello, please consider the following.
[tex]a_1=f(1)=3\\\\a_2=f(1)+4=3+4=7\\\\a_3=f(3)=a_2+4=7+4=11\\\\a_4=a_3+4=11+4=15\\\\a_5=a_4+4=15+4=19\\\\a_6=a_5+4=19+4=23[/tex]
So the answer is 23.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
 Shelby baked 48 cookies with 6 scoops of flower. how many scoops of flour does Shelby need in order to bake 64 cookies? Solve using unit rates.
Answer:
8 scoops of flour
Step-by-step explanation:
It asks for you to solve using unit rates so we need to find out the rate of how much flour you need to bake a single cookie since the question is about how many scoops of flour Shelby needs to bake 64 cookies.
So first, do 6/48, which is 1/8.
It takes 1/8 scoop of flour to bake one cookie.
Unit rate: 1/8 scoop of flour per cookies.
Now, we can multiply 1/8 by 64 since 64 is the number of cookies Shelby needs and 1/8 is the amount of flour for one single cookies. 1/8 * 64 = 8.
Shelby needs 8 scoops of flour to bake 64 cookies
Complete the table for the given rule.
1
Rule: y =-
4
y
13
4
2
Answer:
x y
1/4 0
13/4 3
2 7/4
Step-by-step explanation:
To complete the table we just need to replace the value of x and get y as:
for x = 1/4
[tex]y=\frac{1}{4}-\frac{1}{4}=0\\[/tex]
for x=13/4
[tex]y=\frac{13}{4}-\frac{1}{4}=\frac{12}{4}=3[/tex]
for x=2
[tex]y=2-\frac{1}{4}=\frac{7}{4}[/tex]
So, the complete table is:
x y
1/4 0
13/4 3
2 7/4
Which expressions are equivalent to -6n+(-12)+4n−6n+(−12)+4nminus, 6, n, plus, left parenthesis, minus, 12, right parenthesis, plus, 4, n ? Choose all answers that apply: Choose all answers that apply: (Choice A) A 4(n-3) -6n4(n−3)−6n4, left parenthesis, n, minus, 3, right parenthesis, minus, 6, n (Choice B) B 2(2n-6)2(2n−6)2, left parenthesis, 2, n, minus, 6, right parenthesis (Choice C) C None of the above
Answer:
The correct option is;
Choice A 4·(n - 3) - 6·n
Step-by-step explanation:
The given expression is
Which gives;-6·n+(-12)+4·n
- 12 + 4·n-6·n = -2·n - 12 = - (2·n + 12)
The options given are Choice A and/or Choice B;
(Choice A) 4·(n - 3) - 6·n
Which can be simplified as follows;
4·(n - 3) - 6·n = 4·n - 12 - 6·n
Which gives;
4·n - 12 - 6·n = 4·n - 6·n- 12 = -2·n - 12 = -(2·n + 12)
Therefore, 4·(n - 3) - 6·n is equivalent to -6·n+(-12)+4·n
For choice B, we have;
2·(2·n - 6) which gives;
2·(2·n - 6) = 4·n - 12
Therefore, 2·(2·n - 6) is not equivalent to -6·n+(-12)+4·n
Which gives the correct option as Choice A.
4(n-3)-6n
Khan academy I got this right
The book cost (in dollars) for one semester's books are given below for a sample of five college students. Calculate the sample variance of the book costs. 200, 130, 400, 500, 345 Group of answer choices
Answer:
17,960
Step-by-step explanation:
Given the following data, book cost (in dollars) = 200, 130, 400, 500, 345.
First of all, we will find the mean of the given data.
[tex]Mean = \frac{200+ 130+ 400+500+ 345}{5}\\Mean =\frac{1575} {5 }\\Mean = 315[/tex]
Or
Mean = (200+130+400+500+345)/5
Mean = 1575/5 = 315.
Second step is to subtract the mean from each book cost;
(200-315) + (130-315) + (400-315) + (500-315) + (345-315)
(-115)+(-185)+85+185+30
Next you square the above deviation;
[tex](-115)^2+(-185)^2+85^2+185^2+30^2\\13225+34225+7225+34225+900\\= 89800[/tex]
Then, divide the above by the average which is 5 in this case.
[tex]Variance = \frac{89800}{5}\\\\Variance = 17960[/tex]
Hence, the value of the variance is 17,960.
Find the total area for the regular pyramid.
Answer:
=12pl+B
Step-by-step explanation:
where p represents the perimeter of the base, l the slant height and B the area of the base.
Answer:
4 + 4 sqrt 10
Step-by-step explanation:
Which expression is equivalent to 4 square root 6 divided by 3 root 2?
Answer:
[tex]\sqrt[12]{55296}[/tex]/2
Step-by-step explanation:
[tex]\sqrt[4]{6}[/tex]/[tex]\sqrt[3]{2}[/tex]=1.2422
[tex]\sqrt[12]{27}[/tex]/2=0.66 <-- not matching with the top expression.
[tex]\sqrt[4]{24}[/tex]/2=1.11<--not matching with the top expression.
[tex]\sqrt[12]{55296}[/tex]/2=1.2422<-- matches!!
[tex]\sqrt[12]{177147}[/tex]/3=0.91<-- not matching with the top expression.
Answer:
It is C) ^12 square root 55296/2
Step-by-step explanation: I checked with my calculator.
If approximately 10% of people are left-handed, how many lefties would you expect in a high school graduating class of 424
Answer:
42
Step-by-step explanation:
P(left) = 0.10
Expected number of lefties among high school grads of 424
= 424 * 0.10
= 42 (to the nearest person)
Answer:
you do 20% of 424
1 0% of 424 =42.4
you could round it to 42
Find the solution of y= 4x+ 2 for x = -5.
Answer:
[tex]y=-18[/tex]
Step-by-step explanation:
[tex]y=4x+2[/tex] for [tex]x=-5[/tex]
[tex]y=4(-5)+2\\y=-20+2\\y=-18[/tex]
Answer:
y = -18
Step-by-step explanation:
y = 4x+2
Let x = -5
y = 4(-5) +2
y = -20 +2
y = -18
Halle en metros cuadrados la cantidad de cartón necesaria para elaborar el sólido que se muestra:: POR FIS ES DE UNA EVALUACION ALGUIEN QUE ME AYUDEEE:).
Answer:
La cantidad de cartón necesaria para hacer el sólido es de 165 m² de cartón.
Step-by-step explanation:
La figura en la pregunta consta de tres formas
1) Una pirámide cuadrada
Altura inclinada = 5 m
Longitud lateral base = 3 m
2) un cubo
Longitud lateral, s = 3 m
3) Un prisma rectangular
Longitud = 6 m
Altura = 3 m
Ancho = 3 m
El área de superficie de la pirámide cuadrada, [tex]S_P[/tex] = 2 × Altura inclinada × Longitud del lado base
[tex]S_P[/tex] = 2 × 5 × 3 = 30 m²
El área de superficie del cubo, [tex]S_C[/tex] = 6 ×(Longitud lateral, s)²
[tex]S_c[/tex] = 6 × 3² = 54 m²
El área de superficie del prisma rectangular, [tex]S_R[/tex] = 4 × largo × alto + ancho × alto
[tex]S_R[/tex] = 4 × 6 × 3 + 3 × 3 = 81 m²
La cantidad de cartón necesaria para hacer el sólido, [tex]S_S[/tex] = [tex]S_P[/tex] + [tex]S_C[/tex] + [tex]S_R[/tex]
[tex]S_S[/tex] = 30 + 54 + 81 = 165 m².
La superficie del cartón necesaria para construir el sólido es de 165 m².
Assume that an opinion poll conducted in a 1998 congressional race found that on election eve, 54% of the voters supported Congressman Stevens and 44% supported challenger Jones. Also assume that the poll had a +/- 3% margin of error. What would the pollster be able to safely predict?
Answer:
Congressman Stevens will win the race
Step-by-step explanation:
Considering the margin of error, the possible outcomes for each candidate would be:
Congressman Stevens: from (54 - 3)% to (54+3)%
Challenger Jones: from (44 - 3)% to (44+3)%
Congressman Stevens: from 51% to 57%
Challenger Jones: from 41% to 47%
Therefore, even considering the margin of error, the pollster would be able to safely predict that Congressman Stevens will win the race.
In first half of a basketball game one team scored 45 points. This was 5/9 of their score for the whole game. How many points did the team score in the second half?
please help thx :)
Answer:
36
Step-by-step explanation:
45*(9/5)=81(The whole score)
81-45=36(the second half score)
Answer:
36
Step-by-step explanation:
Because you multiply 9*9=81, and then 81-45=36, Because 9*5=45, so the answer is 36.
Which properties would you use to simplify the following expression? log (17x3)
Answer:
Step-by-step explanation:
Did you mean log (17*3)? If so, your log (17x3) becomes log 17 + log 3.
Did you mean log 17^3? If so, log 17^3 = 3 log 17.
Did you mean log 17*x*3? If so, this equals log 17 + log x + log 3
Answer:
C: 1 and 3
Step-by-step explanation:
EDGE2021
Find the midpoint of the segment between the points (−5,13) and (6,4)
Answer:
(0.5, 8.5)
Step-by-step explanation:
use this formula ((x1+x2/2), (y1+y2/2)) if you use desmos graphing calculator and you type this formula in, all you have to do it put in the correct numbers and you get your midpoint.
Hope this helped :)
The midpoint of the segment between the points (−5,13) and (6,4) are (0.5 and 8.5)
We have given that, the points (−5,13) and (6,4)
We have to determine the midpoints
What is the formula for the midpoint?((x1+x2/2), (y1+y2/2))
x1=-5,x2=6,y1=13 and y2=4
-5+6/2=1/2=0.5
and next is,
13+4/2=17/2=8.5
The midpoint of the segment between the points (−5,13) and (6,4) are (0.5 and 8.5)
To learn more about the midpoint visit:
https://brainly.com/question/5566419
#sPJ2
please answer this question now
Answer:
≈ 94.9 mi²
Step-by-step explanation:
The area (A) of Δ WXY can be calculated as
A = [tex]\frac{1}{2}[/tex] × WY × WX × sinW
∠ W = 180° - (40 + 21)° = 180° - 61° = 119°
Calculate WX using the Sine rule, that is
[tex]\frac{11}{sin21}[/tex] = [tex]\frac{WX}{sin40}[/tex] ( cross- multiply )
WX sin21° = 11 sin40° ( divide both sides by sin21° )
WX = [tex]\frac{11sin40}{sin21}[/tex] ≈ 19.73 mi , thus
A = 0.5 × 11 × 19.73 × sin119° ≈ 49.9 mi² ( to the nearest tenth )
Help ASAP! Will name brainliest!
Answer:
2 by 3
Step-by-step explanation:
please mark brainliest if it helped
In a standard normal distribution, what is the probability of a z-score being less than 2.55?
Answer:
The probability is 0.0053861
Step-by-step explanation:
To answer this question, the best thing to do is to put the wordings in a mathematical expression.
Thus what we have is;
P(z < 2.55)
Now since we have the mathematical expression, the next thing to do here is to use the standard normal distribution table.
From the standard normal distribution table, we can get the probability value that equals the given z-score value
Mathematically this is;
P(z<2.55) = 0.0053861
2.
Solve the equation.
2
3 x - 2 = 7
Answer:
4/ 3 = 7
Step-by-step explanation:
Answer: x=3
Step-by-step explanation:
first add two to each side
Simplify 7+2 to 9
3x=9
divide both sides by 3.
x=9/3
simplify 9/3 to 3
Find the ordered pair $(s,t)$ that satisfieFor a certain value of $k,$ the system \begin{align*} 3a + 4b &= 7,\\ 6a + 4b &= k- 4b \end{align*}has infinitely many solutions $(a,b).$ What is $k$?s the system \begin{align*} \dfrac{s}{2} + 5t &= 3,\\ 3t - 6s &= 9. \end{align*}
Answer:
Step-by-step explanation:
I Shall Name Thee Brainliest! (:
What is -7Q + 6 + 5Q = 15 - 7 solve and check
3 (P+5) + P = 3(2+P) solve and check
2(A+4) + 6A = 2(2 + 3A) solve and check
Answer:
hello, friend(✿◡‿◡)
Step-by-step explanation:
-7Q + 6 + 5Q = 15 - 7
Q=-1
3 (P+5) + P = 3(2+P)
P=-3
2(A+4) + 6A = 2(2 + 3A)
A=-2
PLEASE HELP!!!
What is the interquartile range of this data set?
1,5, 27, 29, 34, 46, 48, 61, 64, 84, 96
Answer:
37
Step-by-step explanation:
Answer:
D. 37
Step-by-step explanation:
Your choice is correct!
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
[tex]\sqrt{3}x^2y+x^3-x[/tex]
Step-by-step explanation:
In an expression that is a polynomial, the exponent of the variables (x and y) are natural numbers bigger or equal to 0. So, the only expression that is a polynomial is [tex]\sqrt{3}x^2y+x^3-x[/tex], because we have the exponents equal to 2, 3, and 1 for x and an exponent equal to 1 for y.
The other expressions have exponents that are negatives, rational or the exponent is the same variable.
PLEASE HELP. WILL MARK BRAINIEST!!! 1. What shape should Kylee use to draw the swimming pool on the diagram? 2.If Kylee wanted to put the swimming pool directly between the flower beds, at what point would the center of the swimming pool be? 3.Use the point you identified in Part 1 to write an equation that will draw the swimming pool on the diagram so that it is directly between the flower beds. 4.Can Kylee place the swimming pool directly between the flower beds? Use the equation you wrote in Part 3 prove or disprove that the swimming pool will touch one of the flower beds. (Hint: Plug in points that are on a flower bed to check if they are also on the circle.) 5.Where can Kylee put the pool? Write an equation that will draw the pool on the diagram so that it does not touch anything.
Answer:
1) A rectangular shape
2) Point (30, 50)
3) (x - 30)² + (y - 50)² = 10²
4) Yes, the swimming pool will touch the flower beds
5) Point (45, 25)
Step-by-step explanation:
1) Given the number of shapes that are rectangles (4) and the number of circular shapes (1) to conserve more space Kylee should drw the swimming pool with a rectangular shape
2) So as to avoid touching the flowerbeds which are 20 feet apart, the center of the swimming pool will be moved slightly up to (30, 50)
3) The equation that will draw the swimming pool is the equation of a circle, given as follows
(x - h)² + (y - k)² = r²
Where (h, k) is the coordinate of the center of the circle, and r is the radius of the circle,
Given that the diameter, D, of the circle = 20 feet, the radius, r = D/2 = 20/2 = 10 feet
The equation of the circle is therefore;
(x - 30)² + (y - 50)² = 10²
4) The coordinates of the center of the flower bed is (30, 45) which gives
(x - 30)² + (y - 45)² = 10²
Where the coordinates of the side of the flower pot is (20, 45), we have;
(20 - 30)² + (45 - 45)² = 10²
(-10)² = 10² = r²
Hence, point (20, 45) is on the circle
The other flower bed side has coordinates (40, 45) which gives
(40 - 30)² + (45 - 45)² = 10²
10² = r² = 10²
Point (40, 45) is also on the circle
Therefore, the swimming pool will touch the flower beds
5) At point (45, 25), we have;
(x - 45)² + (y - 25)² = 10²
The closest point is the patio with coordinates (40, 15) which gives;
(40 - 45)² + (15 - 25)² = 10² = 100
(-5)² + (-10)² = 125 > 100
Therefore, point (40, 15), is not on the circle.
The box plots show the high temperatures in January and March for Denmark in degrees Fahrenheit. Box plots titled Average Daily Temperatures in Denver in March and January with horizontal axis labeled temperature in degrees fahrenheit ranges from 45 to 80. March box plot with minimum approximately at 55 and maximum approximately at 75, its interquartile range is approximately between 60 and 70, and the median is between 60 and 65. January box plot is with minimum approximately 55 and maximum approximately at 70, its interquartile range is approximately between 57 and 65, and its median is approximately between 60 and 65. Which can you tell about the mean temperatures for these two months? The mean temperature for March is higher than January's mean. The low median for January pulls the mean temperature below March's mean temperature. There is not enough information to determine the mean temperatures. The high range for March pulls the mean temperature equal to January's mean temperature.
Answer:
The mean temperature for March is higher than January's mean.
Step-by-step explanation:
I took the test. trust me and you will be set free ;D
Wally rides his bicycle at an average speed of 13 miles per hour. How many miles will he travel in 4 1/2 hours? Please answer this quickly!
Answer:
58.5
Step-by-step explanation:
Distance = rate * time
so if it's 4.5 hours:
Distance = 13 mph* 4.5 hours
= 58.5 miles
The surface area of a solid is 10 square feet. The dimensions of a similar solid are
three times as great as the first. The surface area of the new solid in square feet
is...
PLEASE urgent
Answer:
90 ft²
Step-by-step explanation:
Given the sides of similar figures in the ratio a : b, then
ratio of areas = a² : b²
Here ratio of sides = 1 : 3 , thus
ratio of areas = 1² : 3² = 1 : 9
That is the surface area of the new solid is 9 times the first
SA = 9 × 10 = 90 ft²
The total surface area of the new solid in square feet is 90 square feet
Let the solid be a cube.
The surface area of a cube = 6L²
L is the length o the cube;
If the surface area of a solid is 10 square feet, then;
10 = 6L²
L² = 10/6
L = √10/6
If the dimensions of a similar solid are three times as great as the first, then;
New length Ln = 3√10/6
Total surface area of the new solid = 6Ln²
Total surface area of the new solid = 6(3√10/6)²
Total surface area of the new solid = 6(9*10/6)
Total surface area of the new solid = 6(90/6)
Total surface area of the new solid = 90 square feet
This shows that the total surface area of the new solid in square feet is 90 square feet
Learn more here: https://brainly.com/question/23756628
The angle measurements in the diagram are represented by the following expressions.
Answer:
143°Step-by-step explanation:
<A and <B are corresponding angles
< A = < B
plugging the values
[tex]7x + 24 = 3x + 92[/tex]
Move variable to L.H.S and change its sign
[tex]7x - 3x + 24 = 92[/tex]
Move constant to R.H.S and change its sign
[tex]7x - 3x = 92 - 24[/tex]
Calculate
[tex]4x = 68[/tex]
Divide both sides of the equation by 4
[tex] \frac{4x}{4} = \frac{68}{4} [/tex]
Calculate
[tex]x = 17[/tex]
Replacing value
<A = [tex]7x + 24[/tex]
[tex] = 7 \times 17 + 24[/tex]
[tex] = 119 + 24[/tex]
[tex] = 143[/tex]
hope this helps...
Simplify the expression.
a4b3 + 8a4b3=???
PLEASE HELP??! ASAP!!?
Answer:
9[tex]a^{4}[/tex]b³
Step-by-step explanation:
The 2 terms are like terms and can be combined, that is
[tex]a^{4}[/tex]b³ ( 1 + 8)
= 9[tex]a^{4}[/tex]b³
Answer:
9a^4b^3
Step-by-step explanation:
a^4b^3 + 8a^4b^3
These are like terms so we can add them together
Factor out a^4b^3
a^4b^3( 1+8)
a^4b^3 (9)
9a^4b^3