Answer:
22 hens and 78 sheep
Step-by-step explanation:
Let the number of hens = x
Number of sheep = y
Total heads = 100
x + y = 100 --------------------(I)
x = 100 - y
Number of legs of 'x' hen = 2*x = 2x
Number of legs of 'y' sheep = 4*y = 4y
total legs = 356
2x + 4y = 356 -----------------------(II)
Substitute x = 100 -y in equation (II)
2(100 - y) + 4y = 356
2*100 - 2*y + 4y = 356
200 - 2y + 4y = 356 {Combine like terms}
200 + 2y = 356 {Subtract 200 from both sides}
2y = 356 - 200
2y = 156 {Divide both sides by 2}
y = 156/2
y = 78
Plugin y = 78 in equation (I)
x + 78 = 100
x = 100 - 78
x = 22
22 hens and 78 sheep
Can anyone do this dont mind the 15x because i done it wrong
find f(x)•g(x)
f(x) = 3x - 1
g(x) = x^2 + 4
1. the question is asking you to multiply the two function expressions together
2. so all we do is (3x - 1)(x² + 4) which gives you 3x³ + 12x - x² - 4
There were some people no a boat 26 people got off the boat at the first dock 22 people got off the boat now there ate 74 people on the boat how many people were on the boat?
Answer:
Step-by-step explanation:
Let the initial number of people on the boat be x:
x - 26 - 22 = 74
x -48 = 74
x = 74 + 48
x = 122
Answered by G a u t h m a t h
True or false: You would get £3.50 in change from £10.00 if you bought a game for £7.50.
Please help me ASAP!!!!!!!!
Also please accept friend requests. :)
Thanks
Hi there!
»»————- ★ ————-««
I believe your answer is:
False.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
Change is the difference between how much you pay and the actual price of the item.⸻⸻⸻⸻
[tex]10.00 - 7.50 = 2.50[/tex]
⸻⸻⸻⸻
You would actually receive 2.50.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Solve the equation for all values of x.
-x(x – 8)(x^2+25) = 0
Answer:
0, 8, 5i, -51
Step-by-step explanation:
Just calculate algebraically. Let me know if you need a more elaborate explanation.
mr.brown can type 80 words in two minutes. how many words can he type in 40 minutes?
Answer:
Step-by-step explanation:
The list below shows the number of books read by students in Aram’s class over the summer. What is the mode of the data
3,6,12,4,3,5,4,8,4,10,4,8,7,5,7
Answer:
the mode is 4 because it appears the most times in the detail set
Answer:
The mode is 3
Step-by-step explanation:
The mode of a set of numbers is whatever number appears the most. So here, you have four 4's, which is the most common number
Pat’s Pizza Shack offers customers two choices of crust, three choices of sauce, and four choices of toppings shown below. If a 1-topping pizza is selected at random, what is the probability that it will be deep dish crust, with traditional sauce and green peppers?
Answer:
1/24 (fraction form)
hope this helps
What is the constant of proportionality in the equation x 2
—- = ——
Y 9
Answer:
The Constant is 9/2
Mr. Johnston needs a shelf to hold a set of textbooks, each 1 3/4 in. Wide. How many books will fit on a 35-in.-long shelf?
Answer:
20 books
Step-by-step explanation:
35/1.75
20
For a party Justin buys a pizza and cuts it into 24pieces.Marc eats 1/6 of portion of the pizza and claudine eats 1/4 of what remains after both of them have eaten, Sylvia eats 1/3 of the result.Justin gets to eat what is left over what fraction of the pizza did Justin not eat
Answer:
Justin did not eat 7/12 of the pizza
Step-by-step explanation:
Marc eats 1/6 × 24 = 4, 24 - 4 = 20 left over
Claudine eats 1/4 × 20= 5, 20 - 5 = 15 left over
Sylvia eats 1/3 × 15 = 5, 15 - 5 = 10 left over
Justin eats 10.
24 - 10 = 14
Justin did not eat 14/24 = 7/12
What is the area for the circle?
Answer:
108 squared centimeters
Step-by-step explanation:
Let's exchange π for 3:
area = πr^2
= 3r^2
Now, as you can see, the radius of this circle is 6. Let's plug in the value of r:
area = 3r^2
= 3 · 6^2
Simplify 6^2:
area = 3 · 6^2
= 3 · 36
Multiply 3 by 36:
area = 3 · 36
area = 108
108 squared centimeters
Find the measure of KM. PLEASE PLEASE PLEASE HELP ASAP!!!!!!!!!!!!!!!
A. 7
B. 17
C. 12
D. 14
Answer:
C
Step-by-step explanation:
Given 2 secants from an external point to the circle, then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant , that is
ML × KM = MN × MR, substitute values
7 × KM = 6(6 + 8)
7 KM = 6 × 14 = 84 ( divide both sides by 7 )
KM = 12 → C
Answer:
C.) 12
Step-by-step explanation:
I got it correct on founders edtell
A computer vauled at $30,000 is depreciated to $0 value over a 6 year period. find the rate of change in the computer's value per year.
Answer:
$5000 per year
Step-by-step explanation:
Given data
initial value of the computer= $30000
Final value = $0
Duration= 6years
Hence the rate of change in the value per year is
=30000/6
=$5000 per year
The midpoint of a segment is (6,−4) and one endpoint is (13,−2). Find the coordinates of the other endpoint.
A. (20, -6)
B. (-1, 0)
C. (-1, -6)
D. (20, 0)
Answer:
(-1,-6)
Step-by-step explanation:
(13 + x)/2 = 6
13+x= 12
x = -1
~~~~~~~~~~~~~~~
(-2 + y ) / 2 = -4
-2 + y = -8
y = -6
The coordinates of the other endpoint will be (-1,-6). The correct option is C.
What is the midpoint of the line?Divide the measurement of the distance between the two end locations by 2. The middle of that line is located at this separation from either end.
A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.
Given that the midpoint of a segment is (6,−4) and one endpoint is (13,−2).
The x- coordinate will be calculated as:-
(13 + x)/2 = 6
13+x= 12
x = -1
The y-coordinate will be calculated as:-
(-2 + y ) / 2 = -4
-2 + y = -8
y = -6
Therefore, the coordinates of the other endpoint will be (-1,-6). The correct option is C.
To know more about midpoints of the line follow
https://brainly.com/question/24431553
#SPJ2
What is the slope of a line perpendicular to a line that contains the points (-5, 4) and (-2, 4)?
Select the best answer from the choices provided.
A.
0
B.
no slope
C.
8/3
D.
-3/8
A company distributes candies in bags labeled 23.6 ounces. The local bureau of weights and Measures randomly selects 60 bags of candies and obtain a sample mean of 24 ounces . Assuming that the standard deviation is 3.2. At 0.05 level of significance , test the claim that the bags contain more than 23.6 ounces . what is your conclusion about the claim.
Answer:
The p-value of the test is 0.166 > 0.05, which means that there is not sufficient evidence at the 0.05 significance level to conclude that the bags contain more than 23.6 ounces.
Step-by-step explanation:
A company distributes candies in bags labeled 23.6 ounces. Test if the mean is more than this:
At the null hypothesis, we test if the mean is of 23.6, that is:
[tex]H_0: \mu = 23.6[/tex]
At the alternative hypothesis, we test if the mean is of more than 23.6, that is:
[tex]H_1: \mu > 23.6[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
23.6 is tested at the null hypothesis:
This means that [tex]\mu = 23.6[/tex]
The local bureau of weights and Measures randomly selects 60 bags of candies and obtain a sample mean of 24 ounces. Assuming that the standard deviation is 3.2.
This means that [tex]n = 60, X = 24, \sigma = 3.2[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{24 - 23.6}{\frac{3.2}{\sqrt{60}}}[/tex]
[tex]z = 0.97[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 24, which is 1 subtracted by the p-value of z = 0.97.
Looking at the z-table, z = 0.97 has a p-value of 0.834.
1 - 0.834 = 0.166
The p-value of the test is 0.166 > 0.05, which means that there is not sufficient evidence at the 0.05 significance level to conclude that the bags contain more than 23.6 ounces.
Jonathan has a comic book collection.
He tells you he sold half of them, but then bought 9 more new comics.
After this, Jonathan now has 81 comic books. How many comic books did he have before he sold some? a) Let b = the number of Jonathan had before selling some. Write the equation you would use to solve this problem.
please find the value of x
Answer:
x = 5.9
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan 26 = x /12
12 tan 26 =x
x=5.85279
Rounding to the nearest tenth
x = 5.9
please help i've been stuck on this for a while
Answer:
SSS Postulate
Step-by-step explanation:
The first says 2 sides are the same
The second says 2 sides are the same
The last says 2 sides are the same
Side side side
SSS Postulate
help me plz tyyyyyyyyyy
Answer:
c 6m hope to help
tjabssb
Answer:
3 m
Step-by-step explanation:
because all sides are equal
lus
Find the probability that a randomly
selected point within the circle falls
in the white area.
r = 4 cm
4 √2cm
[? ]%
Answer:
1-[tex]\frac{2 }{\pi }[/tex] = 1- .64 = .36 = 36%
[tex](4\sqrt{2}) ^{2} = 32\\[/tex]
[tex]\pi 4^{2}[/tex]= 16[tex]\pi[/tex]
[tex]\frac{32}{16\pi }[/tex]= [tex]\frac{2 }{\pi }[/tex]
Step-by-step explanation:
Write in standard form using integers. (ASAP help)
Is it a, b, c or d?
Answer: D
Step-by-step explanation:
To get rid of denominator in x, multiply everything by 3
3y=2x+21
Move the variables to the left
-2x+3y=21
Triangle LMN is dilated by a factor of 1.25 to create triangle PQR what is the length of PQ A 20 cm B 18.75 cm C 17 cm di 12 cm
Answer:
See explanation
Step-by-step explanation:
Given
[tex]\triangle LMN \to \triangle PQR[/tex]
[tex]k = 1.25[/tex]
Required
The length of PQ
[tex]\triangle LMN \to \triangle PQR[/tex] means that the side lengths of LMN are multiplied by 1.25 to get the side lengths of PQR
And it implies that the following sides are corresponding
[tex]LM \to PQ[/tex]
[tex]MN \to QR[/tex]
[tex]LN \to PR[/tex]
So, we have:
[tex]PQ = k * LM[/tex]
[tex]PQ = 1.25* LM[/tex]
The question is incomplete.
Assume LM = 16, then:
[tex]PQ = 1.25* 16[/tex]
[tex]PQ = 20[/tex]
I need help finding the answer
A chocolate factory made 369.84 pounds of milk chocolate in 2 days. How much milk chocolate, on average, did the factory make per day?
Answer: 184.92 lbs
Step-by-step explanation:
If the total amount they made in 2 days was 369.84, the avg per day would just be half of that
369.84/2=184.92 lbs
Answer:
The factory made 184.92 pounds of milk chocolate per day.
Step-by-step explanation:
369.84 ÷ 2 = 184.92
Have a great day :)
calculate the calculate the area of a circle whose diameter is 9 cm and pie is 22/7
Answer: 63.64 cm² (rounded to the hundredth place)
Step-by-step explanation:
Concept:
Here, we need to understand how to find the area of a circle.
The general formula is: A = πr²
π = 3.14 (or any constants that equals to this value)
r = radius = (1/2) diameter
Solve:
π = 22/7
r = d/2 = 9 / 4 = 4.5
A = πr²
A = (22/7) (4.5)²
A = (22/7) (4.5)²
A = 63.64 cm² (rounded to the hundredthe place)
Hope this helps!! :)
Please let me know if you have any question
Answer:
63.64 cm²
Step-by-step explanation:
r = d/2 = 9 / 4 = 4.5
A = πr²
A = (22/7) (4.5)²
A = (22/7) (4.5)²
A = 63.64 cm² (rounded to the hundredth place)
3. The upward velocity of the water in a particular fountain is given in feet per second by
v = -32t + 44, where t is the number of seconds after the water leaves the fountain. While
going upward the water slows down until, at the top, the water has a velocity of zero. How long
does it take each water particle to reach its maximum height?
ll,,Step-by-step explanation:
Helpppppp pleaseeee anyoneeeee!!!!!
Answer:
Create a function representing number of published articles per month:
[tex]a=12m+60[/tex]
Where:
a = total number of articles publishedm = number of months12 = slope = number of articles published per month60 = y-intercept = number of published articles at the start (month 0)Now substitute in the values of m to get the a-value:
m = 1 → a = 12(1) + 60 = 72m = 3 → a = 12(3) + 60 = 36 + 60 = 96m = 4 → a = 12(4) + 60 = 48 + 60 = 108m = 9 → a = 12(9) + 60 = 108 + 60 = 168Can someone please help me find the answer to this question
Answer:
2,-2
you just have to look at the "menu" of choices and determine which one of the choices
fits the question... the f(-4) says you have to see which one of the three
choices has -4 in it ...
the middle one does -4≤x≤1 -4 is for sure in the range
this question #1 answer is "2" because the result is always a 2 for that choice...
the next question put in 3 ... three is greater than 1 (that is the third choice)
so the result is -(3) + 1 = -2
your answers are 2, and -2
Step-by-step explanation:
