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
Practice
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MULTIPLE CHOICE
John is 4 years older than Ben. If John is 12, what is Ben's age?
Find the measure of
A 43•
B. 223•
C180•
Answer:
43
Step-by-step explanation:
subtract 157 from 180 and you get your answer if 43.
-6x+5y=1
6x+4y=-10
what is the answer to this problem by elimination
Answer:
x= -1 and y= -1
Step-by-step explanation:
Answer:
(-1,-1)
Step-by-step explanation:
-6x+5y=1
6x+4y=-10
Add the two equations together to eliminate x
-6x+5y=1
6x+4y=-10
---------------------
9y = -9
Divide by 9
9y/9 = -9/9
y= -1
Substitute back into one of the equations to find x
-6x+5y=1
-6x +5(-1) = 1
-6x -5 = 1
Add 5 to each side
-6x -5+5 = 1+5
-6x = 6
Divide by -6
-6x/-6 = 6/-6
x = -1
(-1,-1)
find the value of given expression
[tex] \sqrt{60 \times 60} [/tex]
Step-by-step explanation:
it is 3.600 this is my answer
Answer:
√(60×60)=√60²=±60 is your answer
If the area of a rectangle is
(15x2 - 16x - 15) square feet,
and its length is (3x - 5) feet,
find its width.
Answer:
255
Step-by-step explanation:
(15x2 - 16x - 15) = 270
(3- 5) = -15
270
- -15
= 255
Engineers are designing a rollercoaster that at one point goes underground. The rollercoaster’s path underground is a large curve. The engineers use the function shown to model the elevation, ܧ ,in feet and ݐ , time, in seconds, of the rollercoaster’s path while it is underground.
Answer:
One way to solve the quadratic equation x2 = 9 is to subtract 9 from both sides to get one side equal to 0: x2 – 9 = 0. The expression on the left can be factored:
(x + 3)(x – 3) = 0. Using the zero factor property, you know this means x + 3 = 0 or x – 3 = 0, so x = −3 or 3
Step-by-step explanation:
One way to solve the quadratic equation x2 = 9 is to subtract 9 from both sides to get one side equal to 0: x2 – 9 = 0. The expression on the left can be factored:
(x + 3)(x – 3) = 0. Using the zero factor property, you know this means x + 3 = 0 or x – 3 = 0, so x = −3 or 3
find the perimeter of the polygon
Find KJL (5x-2) (9x-62)
Answer:
45x^2-328x+124
Step-by-step explanation:
How many triangles can a heptagon be divided into? 3 5 4 6
Answer:
5 triangles.
Step-by-step explanation:
Answer:
5 or 4
Step-by-step explanation:
Quadrilateral MNPQ is shown on the grid below.
What is the area, in square units, of the quadrilateral?
A) 182 square units
B) 4550 square units
C) 9100 square units
D) 91 square units
Answer:
42 square units
Step-by-step explanation:
Find the diagram attached
Area of the diagram = Area of the triangle + Area of rectangle
Area of rectangle = Length * Width
Area of rectangle = 3 * 6
Area of rectangle = 18 square units
Area of triangle = 1/2 * base * height
Get the base of the tringle using the pythagoras theorem;
b^2 = 10^2-6^2
b^2 = 100 - 36
b^2 = 64
b = 8units
height = 6 units
Area of the triangle = 1/2 * 8 * 6
Area of the triangle = 48/2
Area of the triangle = 24 square units
Area of the figure = 18+24
Area of the figure = 42 square units
Find the area and perimeter pls!!!
P = a + b + c =4.81 + 8.8 + 8.42 = 22.03
2. Which polynomial has a leading coefficient of 5 and a degree of 4?
a. 3x5 - 4x6 + 2
b. 2x + 5x4 - 3x3
c. 6x + 4x5 - 2x2
d. 3x + x2 - 5x4
solve for x
x^9=12^2x12^7
Answer:
12Step-by-step explanation:
Hi!
Here is your answer,
I will explain in step by step,
[tex] {x}^{9} = {12}^{2} \times {12}^{7} [/tex]
Here we can simplify this further using this law,
[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
So we will get,
[tex] {x}^{9} = {12}^{7 + 2} \\ {x}^{9} = {12}^{9} [/tex]
Since the powers are same we can cancel it out and we will get,
[tex]x = 12[/tex]
(Hope this answer helped :))
Each marble bag sold by Henry's Marble Company contains 5 purple marbles for every 4 orange marbles. If a bag has 20 orange marbles, how many purple marbles does it contain?
Answer:
25
Step-by-step explanation:
If it's 5 for every 4 and the bag has 20, 4*5 = 20 and you'd have to do that to the 5 as well to get 5*5=25.
what is the intersection point of function f and g
Answer:3,15) and (-1.5, 1.5)
Step-by-step explanation:
If g(x) = 2x² - 3
Por una tubería de 4.02 cm de diámetro circula agua a una velocidad de 1.9 m/s. En
una parte más estrecha el diámetro es de 3.61 cm. ¿Cuál es la velocidad que llevará el
agua en ese punto?Por una tubería de 4.02 cm de diámetro circula agua a una velocidad de 1.9 m/s. En
una parte más estrecha el diámetro es de 3.61 cm. ¿Cuál es la velocidad que llevará el
agua en ese punto?
Answer:
7.91
Step-by-step explanation:
I just took the quiz and i got an A
can someone please help me with this? I'll mark brainliest for the right answer
What does the discriminant determine?
Which number is in the solution set of this equation? 7x − 9 = 40
Answer: the answer is 7
Step-by-step explanation: add 9 to both sides, eliminating -9 so now you have 7x=49 divide both by 7 and you get x= 7 check it by inputing 7 for x, 7(7)-9=40
7(7)=49 next 49-9= 40
it checks out, so x= 7
the radius of a circle is 8 what is the area of the circle? pls show work
Answer:
201.06
Step-by-step explanation:
A=πr2=π·82≈201.06193
Answer:
201.14 ≈ 201 unit²
Step-by-step explanation:
Area of circle = πr², where π is either 3.14 or 22/7 or 355/113. Mostly it is 22/7.
=> area of circle = (22/7) (8)² unit²
=> area of circle = (22 x 64)/7 unit²
=> area of circle = 201.14 unit²
If we take π = 3.14
=> area of circle = (3.14)(8)² = 200.96 unit²
find the 9th term of the geometric sequence 6,-24,96...
Answer:
A9 = 393216
Step-by-step explanation:
the first thing that will help you solve this question is finding the common ratio between each terms
the first thing that I like to do that usually helps is to take the second term (-24) and divide it by the first term (6) --> this will usually help you spot the common ratio fairly quickly
in your case, the common ratio is -4
- you can also check this by following my note above and then multiplying the second term by the common ratio to see if it matches the third term, which it does!
so now you can go about this two different ways
1. solve directly for the 9th term
2. use the nth term formula for geometric sequences
METHOD 1:
if you continue to multiply by -4 to solve for each term you would end up with:
6, -24, 96, -384, 1536, -6144, 24576, -98304, 393216
and you will recieve 393216 as your answer
METHOD 2:
the nth term formula is An = A1*r^(n-1)
where An = the nth term of the sequence
A1 = first term of the sequence (6)
and r = common ratio
using this formula, you would get:
A9 = 6(-4)^8
A9 = 393216
I hope this helped :)
pls help will mark brainliest if correct
Answer:
its D Please put me as brain eat if correct
10. Find the slope of the line.
Answer:
-2/1
Step-by-step explanation:
Answer:
67
Because I just know
What property is being used in 6 x (3+8) = 6 x 3 + 6 x 8?
Answer:
The distributive property
Step-by-step explanation:
Hegarty please help me
Answer:
wait let me try and see this carefully and then I will help you
A footballer attempted 30 goals during a match and only makes 12. What fraction of the attempted goals did he make?
Answer:
2/5
Step-by-step explanation:
you have to reduce each number by 6
Answer: 12/30 or 2/5
[tex] \sqrt[4]{48x}^{4} [/tex]
Someone please help me this is so confusing, Please no links and do it step-by-step Thank you!!!
Answer:
48x
Step-by-step explanation:
[tex](\sqrt[4]{48x} )^{4}[/tex] = [tex]\sqrt[4]{(48x)^{4} }[/tex] = 48x
A test has 25 true/false questions. If 64% of the answers are true, how many of the test questions are true?
Answer:
16
Step-by-step explanation:
First, let's find 64% of 25. We do this and get:
[tex]\frac{64}{100}\cdot25=\frac{1600}{100}=16. \text{ so our answer is \boxed{16 \text{ problems are true}}}[/tex]
A toy manufacturer is shipping its newest product, an interactive talking globe, to a major toy store. The packaging for the globe is a rectangular prism that measures 2512 2512 inches high, 18 inches long, and 18 inches wide. The boxes for the globes are packaged into shipping crates that hold 8 globes each. What is the minimum volume of one shipping crate? Explain your answer in the space provided.
Answer:
6 511 104 in³
Step-by-step explanation:
Since we have 1 crate and 8 boxes fit into one crate.
So, volume of one crate, V' = 8 × volume of 1 box, V
Since the box is a rectangular prism of sides 2512 inches high, 18 inches long, and 18 inches wide, its volume, V = lwh where l = length of prism, h = height of prism and w = width of prism.
So, V = lwh = 18 in × 18 in × 2512 in = 813 888 in³
So, V' = 8 × 813 888 in³ = 6 511 104 in³
So, the minimum volume of the crate is 6 511 104 in³
Please help ASAP !!!!
Answer:
AB(12, -8)?
Step-by-step explanation:
I think that's it but I haven't done something like this in a hot minute. If it's wrong I'm sorry