Answer: 16 chickens, 6 Pigs
Step-by-step explanation:
Given
Toal heads=22
Total feet=56
Suppose there are x chickens and y pigs
each animal possess a single head
[tex]\therefore\ x+y=22\quad \ldots(i)[/tex]
Chicken has 2 legs and pig has 4 legs
So, [tex]2x+4y=56\quad \ldots(ii)[/tex]
Solving (i) and (ii) we get
x=16 and y=6
So, farmer has 16 chickens and 6 pigs
Find the perimeter and area of a rectangle with length (6) and width (x + 2).
Answer:
The perimeter of a rectangle is: P = 2x+16
The area of a rectangle is: A = 6x+12.
Step-by-step explanation:
Given
The length of a rectangle = l = 6
The width of a rectangle = w = (x+2)
To determine
The perimeter of a rectangle = P
The area of a rectangle = A
Determining the Perimeter of a rectangle
The perimeter of a rectangle can be determined using the formula
P = 2(l+w)
substitute l = 6 and w = (x+2)
P = 2(6+x+2)
P = 2(8+x)
P = 2x+16
Therefore, the perimeter of a rectangle is: P = 2x+16
Determining the Area of a rectangle
The Area of a rectangle can be determined using the formula
A = lw
substitute l = 6 and w = (x+2)
A = (6)(x+2)
A = 6x+12
Therefore, the area of a rectangle is: A = 6x+12.
2y – 9x = 4
......................
Answer:
y=9/2x+2
Step-by-step explanation:
Answer:
x=2/9y + -4/9
Step-by-step explanation:
Solve for x:
2y−9x=4
Add -2y to both sides:
−9x+2y+−2y=4+−2y
−9x=−2y+4
Divide both sides by -9:
−9x /−9 =−2y+4 /-9
Then your answer is:
x= 2 /9 y+ −4/ 9
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hope I helped!
Good luck! :)
5 (x+5) + 2 (x+10)
can you help me
please help!!!!!! this is the only question i’m confused with out of everything
Answer:
The a value is 4
Step-by-step explanation:
HELP ME PLEASE
A) Translation: 1 unit left and 1 unit down
B) Translation: 1 unit right and 1 unit up
C) Translation: 3 unit right
D) Translation: 4 unit right and 1 unit up
9514 1404 393
Answer:
B) Translation: 1 unit right and 1 unit up
Step-by-step explanation:
The points marked with a "prime" (X') are the ones that result from the transformation. Each of those is 1 unit up and 1 unit right of the corresponding "un-primed" point (X).
The transformation to get from preimage WXYZ to image W'X'Y'Z' is ...
B) Translation: 1 unit right and 1 unit up
Problem #3
The diagram shows an obtuse triangle
ABC with AB = 57 cm, AC = 48 cm and
BÂC=117 degrees
Calculate:
a the length BC
(3 marks)
b the area of triangle ABC (2 marks)
c the size of the angle ABC. (3 marks)
Help show workings
Due asap
Answer:
x=35
Step-by-step explanation:
Alright so an isosceles triangle is a triangles that has 2 angles that have the same value and those lines tell us which angles are the ones that are the same which would be angle Q and angle R. The lines are almost pointing at those angles. All of the angles will equal 180 so we set up an equation
180=2x + 40 because Q and R have the same value we multiply the 2x by 2
now we have 180=4x+40
step 1 subtract each side by 40
140=4x
step 2 divide each side by 4
35=x
At dinner, the meal cost $22 and a sales tax of $1.87 was added to the bill. "What would be the total amount if the meal cost $80?" *
Answer:
$86.8
Step-by-step explanation:
Step one:
Given data
At dinner, the meal cost $22 and a sales tax of $1.87
let us find what percent $1.87 to the cost of the meal
= 1.87/22*100
=0.085*100
=8.5%
Hence the sale tax is 8.5%
Step two:
if the cost is now $80
the sale tax will cost
=8.5/100*80
=0.085*80
=$6.8
The total will be
=80+6.8
=$86.8
Students in North America observe this wind vane at these times during the day in order to predict the weather
Which prediction can the students make based on their observations?
O A will be warmer the next day.
OB. There is likely to be a tomado soon.
OC.There is a cold front coming from the North.
OD.There is a warm front coming from the South.
Answer:
c
Step-by-step explanation:
What is the answer to question 1 written as an ordered pair? (5, $5.25)
(5, $11.25)
($5.25,5)
($11.25, 5)
Box A contained 1.67 kilograms of flour. Box B contained 8.6 kilograms of flour. Mr. Smith used all the flour from both boxes to bake some cakes. How much flour did he use in all?
Answer:
Mr. Smith used 10.27 kilograms of flour in total.
Step-by-step explanation:
Violet puts 12 out of every 192 dollars that she earns into a savings account. Which of the following is equivalent to
Answer:
I think it is 12
Step-by-step explanation:
Solve 4x + 2 = 20 klkllk
Answer:
x = 4.5
Step-by-step explanation:
First, we can subtract 2 from 20 (20 - 2) to get 18.
Now we know that x has to be multiplied by 4 and have a product of 18.
We can divide 18 by 4 to figure out what x is.
18 ÷ 4 = 4.5
We can check our answer by solving the equation:
4(4.5) + 2 = 20
18 + 2 = 20
20 = 20
(sorry if this is confusing but I hope it helped)
Help meeeee pls class ends in an hour
117
Step-by-step explanation:
(x+3) is 13 because x is 10 so 10+3 is 13 and then 9 so 13×9 is 117
help pls factory this step by step ײ+x(x+1)(x+2)+(1+x)
Answer:
ײ+x(x+1)(x+2)+(1+x) = x²+(x+1)³
Step-by-step explanation:
ײ+x(x+1)(x+2)+(1+x) ...look that: 1+x=(x+1)
=x²+x(x+1)(x+2)+(x+1)
=x²+(x+1)(x²+2x+1)
=x²+(x+1)³
Note that:
x²+2x+1=(x+1)*(x+1)
Please help me! 30 points!
Which operation should you perform last in the expression 12 × 42?
plz help me I will give brainliest.
Answer:
Step-by-step explanation:
First, consider expressions that include one or more of the arithmetic operations: addition, subtraction, multiplication, and division. The order of operations requires that all multiplication and division be performed first, going from left to right in the expression.
7 of 8
Given that A, O & B lie on a straight line segment, evaluate the size of the smallest angle.
С
D
(60 - a)
(3a + 8) (4a - 38)
A
B
The diagram is not drawn to scale.
Answer:
D just got it on edg
Step-by-step explanation:
Which value can be filled into the blank to make a true equation?
a + b + c – __ = a + c
Answer:
b
Step-by-step explanation:
a + b + c - b = a + c
which two numbers have a product of 24 and sum of 11
Answer:
The numbers 3 and 8 and be multiply and get 24. They can also be added to get 11.
What is the solution to the equation?
3 x – 1 = 8
Please help
Answer:
Step-by-step explanation:
Here you go mate
Step 1
3x-1=8 Equation/Question
Step 2
3x-1=8 Simplify
3x-1=8
Step 3
3x-1=8 Add 1 to sides
3x=9
Step 4
3x=9 Divide sides by 3
answer
x=3
Hope this helps
I need you someone to solve this and show their work. Tell me why the answer is 4.
Answer:
x = 4
Step-by-step explanation:
You begin by making what is inside the brackets = 0. In other words you will somehow get 0 * brackets + 3 = 3
x - 4 = 0
x - 4 + 4 = 0 + 4
x = 4. When you make x = 4, the inside of the brackets = 0
1/2 * 0 = 0
So you are left with
3 = 0 + 3
and x has been made = 4
Do what's in the brackets before anything else.
What is the equation of the line perpendicular to 2x + y = -5 and passes through the point (4, -3)? Write your answer in slope-intercept form. Show all work.
2x+y= -5 is our equation and it passes through (4, -3)
point-slope formula= y-y1= m(x-x1)
fill in your formula, but flip the slope so its perpendicular. so slope is 1/2.
y+3=1/2(x-4) when i filled the formula in, i used 4 as x1 and -3 as y1.
y+3=1/2x-2 multiply x and -4 by 1/2
y=1/2x-5 subtract 3 from both sides.
Final answer: y=1/2x-5
Also, i'm sorry my answer took so long the bell rang and so I had to leave this alone for a minute. Feel free to ask any questions :)
Write the equation of the line that passes through the points (3,5) and (-1,1). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Given:
A line passes through the two points (3,5) and (-1,1).
To find:
The equation of the line in fully reduced point-slope form.
Solution:
If a line passes through two points, then the point slope form of the line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The line passes through the two points (3,5) and (-1,1). So, the point slope form of the line is
[tex]y-5=\dfrac{1-5}{-1-3}(x-3)[/tex]
[tex]y-5=\dfrac{-4}{-4}(x-3)[/tex]
[tex]y-5=1(x-3)[/tex]
Therefore, the point slope form of the line in fully reduced form is [tex]y-5=1(x-3)[/tex], here 1 is the slope of the line.
What is 0.36x100 what’s the answer
Answer:
36
Step-by-step explanation:
0.36x100
You move the decimal over once to the left to get a whole number of 36
What is the equation of this trend line? Please help ASAP!
Answer:8+2x
Step-by-step explanation:
Boden's account has a principal of $800 and a simple interest rate of 3.3%.
How much money will be in the account after 4 years, assuming Boden does not add or take out any money?
Answer: 800 x 1.033^4 = 910.94 (result is rounded)
Step-by-step explanation:
What are all the factors of 6?
Answer:
1,2,3,6
Step-by-step explanation:
The factors of 6 are the number that go into 6 evenly
1,2,3,6
Ocsar and his little brother made up a game using coins. They flip the coin towards a cup and receive points for every one that makes it in. Oscar starts with 20 points, and his little brother starts with 18 points. Oscar gets 2 points for every successful shot, and his brother, since he is younger, gets 3 points for each successful shot. Eventually, the brother will have a tied score in the game. How many additional shots will each brother have made? How many points will they both have?
they both would have 24
they both would have 2 successful shots. they would mean that the older brother added 4 point to his score and the younger brother would have added 6 to his score
Q14
4
x + 9
The area of this shape is 75cm2
Find the perimeter of the shape.
x + 3
2x + 5
Answer:
42.6cm
Step-by-step explanation:
The sum total of all the sides of the shape is the perimeter of the shape. Hence;
Perimeter = x+3 + 4 + x+9 + 2x+5
Perimeter = 4x + 21
Given
Area of the figure = 75cm^2
Area = (x+3)(2x+5) + (2x+1)(6)
75 = 2x²+5x+6x+15+12x+6
75 = 2x²+23x+21
2x²+23x+21-75 = 0
2x²+23x-54 = 0
x = -23±√23²-4(2)(-75)/4
x = -23±√529+600/4
x = -12±√1129/4
x = -12+33.6/4
x = 21.6/4
x = 5.4
Recall that;
Perimeter = 4x+21
Perimeter = 4(5.4) + 21
Perimeter = 21.6+21
Perimeter = 42.6cm
Hence the perimeter is 42.6cm
