Answers
Step-by-step explanation:
Claim: There's 14 Goats and 9 Chickens!!
Data:
Working with the Provided Information.
Let the Number of goats be x
let the Number of Chickens be y
x + y = 23..... (i)
Since the goat Possesses Two Pair of Legs... Which is a Total of 4 Legs... We say Let its Contribution be 4x.
The Chicken has Only a Pair Of Legs...Which is a total of 2 legs.... We say let its contribution be 2y
4x + 2y = 74 .....(ii)
BRINGING BOTH EQUATIONS TOGETHER.
x + y = 23
4x + 2y = 74
From Eqn i
x= 23 - y
Substitute into eqn ii
4(23 - y ) + 2y = 74
92 - 4y + 2y = 74
92 - 2y = 74
2y = 92 - 74
2y = 18
y= 9.
Substitute y into any of the eqns to get x
x + y = 23
x + 9=23
x = 23 - 9
x = 14
This simply proves that there are 14 Goats and 9 Chickens!!!.
HAVE A GREAT DAY!
Related Questions
describe the Y intercept an end behavior of the following graph
PLEASE HELP
Answers
Resolve into factor :(a+b) ^3+1
Answers
Answer:
use the formula a^3+b^3= (a+b)-3ab(a+b)
in above question assume (a+b) as a and 1 as b
later in (a+b+1) take (a+b) as a and 1 as b
and use the formula (a+b)^2 = a^2+2ab+b^2
What are the x- and y-intercepts of g(x) = 4 - X2?
Answers
Answer:
g(x) = 4 - x^2
at x-intercept, y=0
0=4-x^2
x^2=4
x = ± 2
=> two x- intercepts, (-2,0) and (2,0)
at y-intercept, x = 0
g(x) = y = 4 - 0 = 4
y-intercept = (0,4)
The x-intercept is ( ±2 , 0 ) and y- intercerpt is (0,4).
What is an intercept?A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis.
This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y. These points satisfy x = 0 because of this.
g(x) = 4 - x²
At x-intercept, y = 0
0=4-x²
x² = 4
x = ± 2
Two x- intercepts, (-2,0) and (2,0)
at y-intercept, x = 0
g(x) = y = 4 - 0 = 4
y-intercept = (0,4)
Therefore, the x-intercept is ( ±2 , 0 ) and y- intercerpt is (0,4).
To know more about an intercept follow
https://brainly.com/question/1884491
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Simplify each numerical expression.
1) 6 + 2 x 8 - 12 + 9 - 3
Answers
Answer:
16
Step-by-step explanation:
using BODMAS rule
6 + 16 - 12 + 9 - 3............step 1
22 - 3 - 3....…...................step 2
16
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
At the Scott wedding, 12 guests sat on the groom's side and 10 guests sat on the bride's side. At the Smith wedding, 13 guests sat on the bride's side and 18 guests sat on the groom's side. Which wedding had a lower ratio of guests of the groom to guests of the bride?
A. not enough information
B. the Smith wedding
C. neither, the ratios are equivalent
D. the Scott wedding
Answers
Answer:
D. The Scott Wedding
Step-by-step explanation:
Scott: 12 guests on the groom's side and 10 guests on the bride's side
Smith: 18 guests on the the groom's side and 13 guests on the bride's side
For 4 hours Sam traveled at 40 miles per hour. Then he increased his speed to 60 miles per
hour and drove for another 3 hours. How far did he go in the 7 hours he traveled?
Answers
find the following ratios right triangle. PLS HURRY and disregard my answers.
Answers
Answer:
sinA= 5/13; cosB= 5/13
Step-by-step explanation:
sine is opposite over hypotenuse so 5/13. cosine is adjacent over hypotenuse so 5/13
Phoebe took a survey of her classmates' favorite sport. The results are in the table below:
Answers
The relative frequency for football is the number of people who like football divided by total people:
4/28 = 0.14
Answer: 0.14
what is the value of |-403|×|-3|
Answers
Answer:
1209
Step-by-step explanation:
| - 403 | × | - 3 |
= | 403 | × | 3 |
= 403 × 3
= 1209
Find the value of x.
Round to the nearest tenth.
Х
120°
10
x = [?]
Answers
Answer:
X is 11.8
Step-by-step explanation:
You already have the formula so just put in the values and rearrange to get the answer. c is what you are looking for so that is x. a can be 3 and b is 10. CosC is Cos(120) the rest work it out on calculator.
The inequality 1 ≤ 2x − 5 is true for all values of x in which of the following sets?
1. 0, 1, and 2
2. 1, 2, and 3
3. 2, 3, and 4
4. 3, 4, and 5
Answers
Answer:
4. 3, 4, and 5
Step-by-step explanation:
1 ≤ 2x − 5
Add 5 to each side
1+5 ≤ 2x − 5+5
6 ≤ 2x
Divide by 2
6/2 ≤ 2x/2
3 ≤ x
x must be greater than or equal to 3
Will Mark Brainlest Help Please ,,,,
Answers
[tex]\\ \sf\longmapsto 2x+y=2[/tex]
[tex]\\ \sf\longmapsto 2x=2-y[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2-y}{2}\dots(1)[/tex]
And
[tex]\\ \sf\longmapsto x+1=y+2[/tex]
[tex]\\ \sf\longmapsto x=y+2-1[/tex]
[tex]\\ \sf\longmapsto x=y+1[/tex]
Put the value[tex]\\ \sf\longmapsto \dfrac{2-y}{2}=y+1[/tex]
[tex]\\ \sf\longmapsto 2-y=2(y+1)[/tex]
[tex]\\ \sf\longmapsto 2-y=2y+2[/tex]
[tex]\\ \sf\longmapsto 2-2=2y+y[/tex]
[tex]\\ \sf\longmapsto 3y=0[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{0}{3}[/tex]
[tex]\\ \sf\longmapsto y=\infty[/tex]
Put in eq(1)[tex]\\ \sf\longmapsto x=\dfrac{2-y}{2}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2-\infty}{2}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2}{2}[/tex]
[tex]\\ \sf\longmapsto x=1[/tex]
Answer:
x=1 , y=0
Step-by-step explanation:
2x+y=2.......1
x+1=y+2
x-y=2-1
x-y=1...... 2
from equation 2 we get ,
x-y=1
x=1+y
putting the value of x in equation 1 we get,
2*(1+y) +y=2
2+2y+y=2
2+3y=2
3y=2-2
3y=0
y=0/3
y=0
putting the value of y in equation 2 we get,
x-0=1
x=1+0
x=1
hence x=1 , y=0
Please help asap! Will give brainly
Answers
=========================================================
Work Shown:
The notation f(4) means we want to find f(x) when x = 4.
If x = 4, then we go for the middle definition since 4 makes [tex]3 \le x \le 10[/tex] to be true (ie, 4 is between 3 and 10)
Therefore,
f(x) = x^2 - 7 when [tex]3 \le x \le 10[/tex]
f(4) = 4^2 - 7
f(4) = 16 - 7
f(4) = 9
Answer:
f(4) = 9
Step-by-step explanation:
4 is between 3 and 10 so we use the middle function
f(4) = x^2 -7
= 4^2 -7
= 16 -7
= 9
An airplane landed at a point 100 km east and 420 km south from where it took off. If the airplane flew in a straight line from where it took off to where it lands, how many kilometers did it fly? Enter only the number rounded to the nearest kilometer.
Answers
Answer:
[tex]\sqrt{100^2 + 420^2}[/tex]
[tex]\sqrt{100^2+420^2}=20\sqrt{466}\quad \left(\mathrm{Decimal:\quad }\:431.74066\dots \right)[/tex]
Step-by-step explanation:
no calculator needed! been stuck for a while. how do I solve this style of question?
Answers
Answer:
- [tex]\sqrt{3}[/tex] and 0
Step-by-step explanation:
tan(2x)
= tan(2 × [tex]\frac{\pi }{3}[/tex] ) = tan([tex]\frac{2\pi }{3}[/tex] ) = - tan([tex]\frac{\pi }{3}[/tex] ) = - [tex]\sqrt{3}[/tex]
cos(3x) = cos(3 × [tex]\frac{\pi }{6}[/tex] ) = cos([tex]\frac{\pi }{2}[/tex] ) = 0
Pls help will give brainliest
Answers
Answer:
[tex] \frac{3}{2} + 2(x - 1) = 3 - 2x \\ \frac{3}{2} + 2x - 2 = 3 - 2x \\ 2x + 2x = 3 - \frac{3}{2} + 2 \\ 4x = 3 - \frac{3}{2} + 2 \\ 4x = \frac{6 - 3 + 4}{2} \\ 4x = \frac{7}{2} \\ x = \frac{7}{2} \div 4 \\ x = \frac{7}{8} [/tex]
Step-by-step explanation:
it was helpful to you ♫︎♫︎♫︎♫︎
ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!
Drag each tile to the correct box.
Order the expressions from least value to greatest value.
Answers
Answer:
I think thats the answer. Check it. (:
Step-by-step explanation:
-2.2x3.4= -74.8
42/-6= -7/10
-3 3/5-( 3 1/10)= -21/10
-2 3/4+(3 1/6)= -2
!I might be wrong!
Someone check this!
Thank you!
The perimeter of a triangle is 24 cm.If it’s area is 24cm2 and it’s one of the three sides is 10 cm,find the sides of remaining
Answers
Answer:
The other sides are 6cm and 8cm
Step-by-step explanation:
Let the other 2 sides be x and y.
Using herons formula, we have an equation
24=sqrt(12*2*(12-x)*(12-y))
Since the perimeter is given, we have x+y=24-10=14. Solving it we have x=6,8 and y=8,6.
For a positive integer n, if the difference between all neighbouring digits are all greater than 3 (e.g. 150),
it is defined as a “good number”. How many three-digit “good number(s)” is/are there?
Answers
Answer:
166 numbersStep-by-step explanation:
Let n = abc is the 3-digit number
b = 0 - 9, total 10 options
If b = 0, a= 4 to 9, c = 4 to 9, so 6 options each 6*6 = 36 good numbersIf b = 1, a= 5 to 9, c = 5 to 9, so 5 options each 5*5 = 25 good numbersIf b = 2, a= 6 to 9, c = 6 to 9, so 4 options each 4*4 = 16 good numbersIf b = 3, a= 7 to 9, c = 7 to 9, so 3 options each 3*3 = 9 good numbersIf b = 4, a = 8, 9, c = 0, 8, 9, so 2*3 = 6 good numbersIf b = 5, a = 1, 9, c = 0, 1, 9, so 2*3 = 6 good numbersIf b = 6, a = 1, 2, c = 0, 1, 2, so 2*3 = 6 good numbersIf b = 7, a = 1, 2, 3, c = 0, 1,2,3, so 3*4 = 12 good numbersIf b = 8, a = 1, 2, 3, 4, c = 0, 1, 2, 3, 4, so 4*5 = 20 good numbersIf b = 9, a = 1,2,3,4,5, c = 0, 1, 2, 3, 4, 5, so 5*6 = 30 good numbersTotal good 3-digit numbers:
36 + 25 + 16 + 9 + 6 + 6 + 6 + 12 + 20 + 30 = 166Find all complex numbers z such that z^4 = -4.
Note: All solutions should be expressed in the form a+bi, where a and b are real numbers.
Answers
Help me with these questions plz
Answers
Answer:
Step-by-step explanation:
2) Cost Price = CP = $ 35
Tax = $ 3.29
Tax percent = [tex]\frac{tax}{CP}*100[/tex]
[tex]= \frac{3.29}{35}*100\\\\[/tex]
= 9.4 %
Total amount paid by Ian = CP + tax = 35 + 3.29
= $ 38.29
3) Price of the order = $ 56.50
Shipping cost % = 3 % = 0.03
Shipping cost = price of the order * shipping cost %
= 56.5 * 0.03
= 1.695
= $ 1.70
Total cost = Price of the order + Shipping cost
= 56.5 + 1.70
= $ 58.20
4) Bill amount = $ 26
Tip % = 18%
Tip amount = Tip % * bill amount
[tex]= \frac{18}{100}*26\\[/tex]
= $ 4.68
5) commission% = 3.5 %
Commission amount = commission% * Sales
[tex]= \frac{3.5}{100}*50000[/tex]
= $ 1750
Base salary for a week = $400
Base salary for two weeks = 400 * 2 = $ 800
Emmett's earning for this two weeks period = Base salary for two weeks + commission
= 800 + 1750
= $ 2550
6) Tax % = 10.25 %
Purchase amount = $ 310.50
Tax = Tax% * Purchase amount
[tex]= \frac{10.25}{100}*310.50[/tex]
= $ 31.83
Total = Purchase amount + Tax
= 310.50+ 31.83
= $ 342.33
4.
A turtle crawls 567 mm in 27 minutes. How far (measured in cm) can the turtle
crawl in a minute?
Answers
Answer: 2.1 cm per minute
Step-by-step explanation:
567/27 =21 mm
convert mm to cm (1mm = 0.1c,)
21mm = 2.1cm
Answer:
2.1 cm or 21 mm
Step-by-step explanation:
567 ÷ 27 = 21
Therefore the turtle can crawl 21 mm in a minute.
To covert mm to cm, we simply divide by 10.
21 ÷ 10 = 2.1
Use the diagram to complete the statements.
Angles 1 and 5 are
because they are
angles.
7
3
(2
Angles 4 and 6 are
because they are
4
5
angles.
7X6
8
a
S
Answers
Answer:
Can you show the options?
Step-by-step explanation:
Angle 1 and 4 are equal and angle 4 and 6 add up to 180
Answer:
congruent, corresponding, supplementary, same side interior
Step-by-step explanation:
which choices are equivalent to the exponential expression below? check all that apply. 5/3^3
Answers:
5^3/3^3
3 x (5/3)
25/9
15/9
5/3 x 5/3 x 5/3
125/27
Answers
Answer:
5/3 x 5/3 x 5/3
125/27
5^3/3^3
3 x (5/3)
Step-by-step explanation:
(5/3)^3 = 5×5×5/3×3×3 = 125/27.
Can someone help me on this please
Answers
Hope this helps :D
6y−3=57 what does y equal
Answers
Answer:
y = 10
Step-by-step explanation:
6y−3=57
6y = 60
y = 10
Latisha drove around town running errands all afternoon. The path she took is shown on the map below.
A path is 17 inches long. The scale is 2 inches = 3 miles.
To the nearest mile, what is the total distance that she traveled?
Answers
17/2 to x/3
cross multiply
51 = 2x
x= 25.5 miles or 26
Geometry, please answer question ASAP
Answers
Answer:
C
Step-by-step explanation:
The 2 angles lie on a straight line and sum to 180° , then
5x + 19 + 8x = 180
23x + 19 = 180 ( subtract 19 from both sides )
23x = 161 ( divide both sides by 23 )
x = 7
Then
∠ OML = 15x + 19 = 15(7) + 19 = 105 + 19 = 124° → C
.......plz answer it plz
Answers
Answer:
a: x=90 b: x=45 y=45 c: y=68 x=68
3% of what number is 1.86
Answers
Answer:
62
Step-by-step explanation:
Of means multiply and is means equals
.03 * n = 1.86
Divide each side by .03
.03n/.03 = 1.86/.03
n =62
