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
solve the following quadratic equation
2×2-x=21
[tex]2x^2-x=21\\\\\implies 2x^2 -x -21 =0\\\\\text{Apply quadratic formula},~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}\\\\\text{In this case,}~ a =2 , b =-1, c =-21}\\\\\implies x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4\cdot 2 \cdot (-21)}}{2(2)}\\\\\implies x =\dfrac{1 \pm \sqrt{169}}{4}\\\\\\\implies x = \dfrac{ 1 \pm 13}4\\\\\\\text{Hence,}\\\\x =\dfrac{1+13}4 = \dfrac{14}4 = \dfrac 72\\\\\text{or}\\\\x =\dfrac{1-13}4 = -\dfrac{12}4 =-3[/tex]
Answer:
x1=7/4, x2=-3
Step-by-step explanation:
[tex]2x^{2} - x - 21 = 0\\x1,2 = (1±\sqrt{-168-1})/4\\x1,2 = (1±13)/4\\x1 = 14/4 -> x1 = 7/2\\x2 = -12/4 -> x2 = -3[/tex]
If similar, state if it’s AA similarity, SSS or SAS similarity
Answer:
they are not similar
Step-by-step explanation:
MN/VW=16/22=8/11
LN/UW=20/28=5/7
LM/UV=25/35=5/7
there is no information about the angles, you apply SSS but in this situation not all sides are proportional
PLZ HELP
How would you graph the solution set of x - 2 > 5?
Open circle on 7 and shaded to the right.
Closed circle on 7 and shaded to the right.
Open circle on 7 and shaded to the left.
Closed circle on 7 and shaded to the left.
Answer:
look up demos, it works like a charm everytime!
Step-by-step explanation:
hope this helps :)
Please answer this ASAP
Solve for x.
2x−4=6−3x
A: x= -0.4
B: x= 2
C: x= -2
D: x= 0.4
Answer:
x = 2
Step-by-step explanation:
First, let's write out our equation:
[tex]2x-4=6-3x[/tex]
I want to isolate x on one side, so first, I'll add 4 to both sides to remove the -4 from next to 2x:
[tex]2x-4+4=6-3x+4\\2x=-3x + 10[/tex]
Notice that I combined like terms with the -4 and 4 (to get 0) and the 6 and 4 on the right side (to get 10). Next, I'll add 3x to both sides:
[tex]2x + 3x = -3x + 3x + 10[/tex]
And then I'll add like terms:
[tex]5x=10[/tex]
Now, all we have to do is divide both sides by 5:
[tex]5x/5=10/5\\x=2[/tex]
And there's our answer. Hopefully that's helpful! :)
-8.5x +0.43 = -2.97
The solution is x =
Answer:
x=0.4
Step-by-step explanation:
ubtract
0.43
from both sides of the equation.
−
8.5
x
=
−
2.97
−
0.43
Subtract
0.43
from
−
2.97
.
−
8.5
x
=
−
3.4
Divide each term in
−
8.5
x
=
−
3.4
by
−
8.5
.
−
8.5
x
−
8.5
=
−
3.4
−
8.5
Divide
−
3.4
by
−
8.5
.
x
=
0.4
Any help wit this one
Answer:
22.5 centimetres per second.
Step-by-step explanation:
To get the awnser for this you do the highest length of centimetre which is 90 divided by how many seconds it took to get to 90 centimetres, then we do 90÷4 which equals to 22.5, so the awnser is 22.5 centimetres per second. Hope this helps.
Which of the following is a radical equation?
x^/3 = 13
x+√3 = 13
^/x+3 = 13
X+3=^/13
[tex]\huge \bf༆ Answer ༄[/tex]
The Correct choice is ~
[tex] \sf \: x + \sqrt{3} = 13[/tex]In the triangle, x = 3. Find y.
A) y = 6
B) y = 7
y= V3
D) y= 3.72
Answer:
Below.
Step-by-step explanation:
Using Pythagoras theorem, let's find y.
=> y² = 3² + 3²
=> y² = 9 + 9
=> y² = 18
=> y = √18
=> y = 4.24 (Estimated)
Unfortunately, there is no options of 'y = 4.24'. Please re-check the options you posted.
Hoped this helped.
Please help with this I will mark you as brainliest
Answer:
The answer is t = 0.25
Step-by-step explanation:
Answer:
t = 0.25
Step-by-step explanation:
Laura just became a personal trainer and is finalizing her pricing plans. One plan is to charge
$55 for the initial consultation and then $41 per session. Another plan is to charge $50 for the
consultation and $46 per session. Laura realizes that the two plans have the same cost for a
certain number of sessions. How many sessions is that? What is that cost?
Using algebraic equations:
the number of sessions that will give same cost for both plans is: 1
the cost is: $96
Translate the situation into algebraic equations.
Let y = Total cost x = number of sessionsEquation for total cost of the first plan:
y = 41x + 55
Equation for the total cost of the second plan:
y = 46x + 50
To find the number of sessions that would yield same cost for both plans, make both equations equal to each other and solve for x.
41x + 55 = 46x + 50
Combine like terms together41x - 46x = - 55 + 50
-5x = -5
x = 1
For a session, both plans will yield the same cost.
The cost 1 session will yield for both:
41x + 55 = 46x + 50
Plug in the value of x41(1) + 55 = 46(1) + 50
96 = 96
Therefore, using algebraic equations:
the number of sessions that will give same cost for both plans is: 1
the cost is: $96
Learn more about algebraic equations on:
https://brainly.com/question/10612698
wahts the gcf and lcm of 18 and 30
original price of a cd is 12.50. what is the price with a discount of 39%
Answer:
original price of a cd is 12.50. what is the price with a discount of 39%
Step-by-step explanation:
In a scale drawing, 3 millimeters represents 17 meters. Exactly how many millimeters represents 55 meters?
Work Shown:
(3 mm)/(17 m) = (x mm)/(55 m)
3/17 = x/55
3*55 = 17*x
165 = 17x
17x = 165
x = 165/17
x = 9.706 approximately
Side note: I used the cross multiplication rule for the third step.
does anyone know the answer
Answer: C. Distributive Property
Step-by-step explanation: To simplify this expression, you would multiply 6 by y and 2.
One bunch of seedless black grapes cost $2. How many bunches can you buy for $20?
Answer:
If one bunch is two dollars even, then you could buy 10 bunches.
Step-by-step explanation:
20 divided by 2 = 10
So, you could buy ten bunches of grapes.
Answer:
the answer is 10 because 2 goes into 20 10 times.
Step-by-step explanation:
HELP! Jessica edits the school yearbook. She says the the dimensions of the student photo are proportional to the dimensions of the small photo, medium photo, and large photo found throughout the yearbook. Is she correct? Explain your reasoning.
Answer:
no
Step-by-step explanation:
The ratio of width to height for the different photos are ...
student: 1 : 3/2 = (2/2):(3/2) = 2 : 3
small: 2 : 5/2 = (4/2):(5/2) = 4 : 5
medium: 4 : 5 . . . (same as small)
large: 8 : 10 = 4 : 5 . . . (same as small and medium)
The small, medium, and large photos all have proportional dimensions, but those are not proportional to the dimensions of the student photo.
S/O: sqdancefan
can someone answer my question plz
Graph the line that represents a proportional relationship between d and t with the property that an increase of 3 units in t corresponds to an increase of 8 units in d. What is the unit rate of change of d with respect to t? (That is, a change of 1 unit in t will correspond to a change of how many units in d?) The unit rate of change is Graph the relationship. The unit rate of change is _____
Answer:
Draw a straight line through these two points (0, 0) and (1, 3).
Step-by-step explanation:
"Proportional relationship" implies line or curve that goes through the origin; there is no "y-intercept" in this case.
Plot a dot at (0, 0). Next, move your pencil point 1 unit to the right (you'll end up at (1, 0), and then move it from there up to (1, 3). Draw a straight line through these two points (0, 0) and (1, 3).
Aliya works as a bar tender in a very renowned restaurant. If he works for 12 days and earns $ 1296.84.How much does he earn per day.
Step-by-step explanation:
1296.84 / 12 = $108.07 earned per day
Find the slope for (3,0) and (4,1)
Answer:
The slope is 1
Step-by-step explanation:
the formula for finding slope is : y2-y1/x2-x1
2. Subsitute: (1)-(0)/(4)-(3) = 1/1 = 1
Therefore, the slope is 1.
10.) *
12
Sam ate 2/8 a pizza for dinner.
Then he ate 1/4 of the original pizza for lunch the next day. How much pizza is left
pizza for lunch the next day. How
much pizza is left
Answer:
4/8 (2/4)
Step-by-step explanation:
1/4 is 2/8
He ate 2/8 pizza for dinner
Then he ate 1/4 (2/8) the next day
So he has 4/8 (2/4) pizza left
What is the estimated difference between 7 6/11−5 13/15?
NO LINK OR FILESSSS PLZZZZZZZZZZZZ
Answer:
1 1/2
Step-by-step explanation:
7 6/11 is close to 7 1/2
5 13/15 is close to 6
7 1/2 - 6 = 1 1/2
if a baseball team has lost 50 matches out of the 120 matches played in total, find out their winning percentage?
The percentage is the indicating hundredth thus the percentage of winning is 58.33%.
What is the percentage?The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
The percentage is just like the amount of that value but between 1 to 100 and it is very useful to predict for example if you say 678 then we have to know about the full number also but if you say 80% then it becomes clear.
As per the given,
Total matches = 120
Number of lost matches = 50
Number of winning match = 120 - 50 = 70
Winning percentage = (70/120) x 100 = 58.33%
Hence "The percentage is the indicating hundredth thus the percentage of winning is 58.33%".
For more about the percentage,
brainly.com/question/13450942
#SPJ2
hola pueden ayudar a=6cm b=8cm c?
Answer:
c=10cm
Step-by-step explanation:
a²+b²=c²
6²+8²=c²
36+64=c²
100=c²
10=c
Ok so 0.5 x 10^5 = ? What is the answer? The 5 is little and its on top please i don't know how to explain.
Answer:
50,000
Step-by-step explanation:
The little 5 is called an exponent, so it would be 0.5*10^5.
Ten to the fifth power. you can take the ten and do this. 10x10x10x10x10. The answer would be fifty thousand
Please answer number 1.
I have to do 2 pages of homework I need this done I have school tomorrow..
Have no idea how to do this. Please help I beg you.
Answer: The two specific conjectures are in the first image, and the two general conjectures are in the second image.
i need help on all of this please
Answer:
Step-by-step explanation: the answer is 69-123
Suppose a class has 14 redheads, 8 brunettes, and 6 blondes. What is ratio of blondes to total students? Write your answer in simplest form
Answer:
3:14
Step-by-step explanation:
The total number of students in the class is 28 and 6 of them are blondes so it would be 6:28 but since its asking for the simplest form it should be 3:14
(Divide both numbers by 2)
Hope this helps!!
-16.51 divided by 2.54 I need answers
Answer:
Answer: -13\2Step-by-step explanation:
-16.51
---------
2.54
-16.51
--------
2.54
1651
------
254
-13
-----
2
Answer: -13
----
2
Perform the indicated operation
g(x)=x^3+5x and f(x)=2x-2
Find (g o f)(x)
Answer:
g(f(x)) = 8x^3-24x^2+34x-18
Step-by-step explanation:
The composition is ...
[tex](g\circ f)(x)=g(f(x))=g(2x-2)\\\\=(2x-2)^3+5(2x-2)\\\\=(2x)^3 +3(-2)(2x)^2+3(-2)^2(2x)+(-2)^3+10x-10\\\\=8x^3-24x^2 +24x-8+10x-10\\\\\boxed{(g\circ f)(x)=8x^3-24x^2+34x-18}[/tex]
if n=11 what is p pls help me
p=49 1/2 that's the answer i got you lil guy