Answer:
27 Chickens
Step-by-step explanation:
Represent the chicken with A and the cows with B
Given
[tex]A + B = 30[/tex]
A has 2 legs and B has 4; So:
[tex]2A + 4B = 66[/tex]
Required
Determine A and B
Make B the subject of formula in the first equation
[tex]B = 30 - A[/tex]
Substitute 30 - A for B in the second equation
[tex]2A + 4(30 - A) = 66[/tex]
Open the bracket
[tex]2A + 120 - 4A = 66[/tex]
Collect Like Terms
[tex]2A - 4A = 66 - 120[/tex]
[tex]-2A= -54[/tex]
Divide through by -2
[tex]A = 27[/tex]
Hence, the farmer has 27 chickens
maria brought a blouse on sale for 20% off. the sale price was $21.76. what was the original price? round to the nearest hundredth.
Answer: $27.20
Step-by-step explanation:
She bought a blouse for 20% off so it means that she paid 80% of the original price.We can then set up the equation
80% of x = 21.76 where x is the original price so solve for x
0.8x = 21.76
x = 27.20
Which means the original price is $27.20
The area of a square is 117 square meters which best represents the length of a side.
The best representation for the length of a side of the square is 10.82 meters.
Given that the area of the square is 117 square meters.
Let's denote the length of the side of the square as "s."
The formula for area of square
= s²
Substituting the value of area of square 117 square meter back to the formula
117 = s²
Take the square root of both sides:
s = √(117)
s ≈ 10.82 meters
So, the length of a side of the square is 10.82 meters.
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Consider the segment AB with A positioned at (6,2). The midpoint of AB, M is located at (5, -3). What are the coordinates of point B? * O (7,7) O (4,-8) O (5.5, -0.5) O (4,5)
Answer:
I didn't "do the math" yet at all, but draw it out on an X,Y axis... Thinking about it logically... If point A is in the upper right quadrant of the axis, because both X and Y coordinates are positive numbers, so you go right on the horizontal axis and up on the vertical axis... Then the midpoint is in the lower right quadrant of the due to the X coordinate being a positive, thus you go right on the horizontal axis, but the Y coordinate is a negative, so you go down vertically... So point B cannot be above both the midpoint or point A, ruling out (7,7) and (4,5) as both Y coordinates of those answers (7 or 5) are higher than point A's Y coordinate of 2... B would have to be below point A because the midpoint is below point A with a Y coordinate of -3... So this leaves either option (5,-0.5) or option (4,-8)... However.... While (5,-0.5) has a lower Y coordinate than point A with -0.5, its Y coordinate is above the Y coordinate of the midpoint as well, since -0.5 is above -3... So this doesn't jive as point B cannot be between point A and the midpoint to point B... This logically leaves (4,-8) left to be the answer... And if you drew on an X,Y axis the coordinates (6,2) as well as (5,-3) and (4,-8), then connect the dots, you'd find (5,-3) sits about half ways between (6,2) and (4,-8)...
So (4,-8) is probably the answer...
The best way to come to this conclusion mathematically is finding the slope (rise over run) of point A and the midpoint between point A and point B, then continuing the slope down, etc... But this particular question with the multiple choice answers ruled all but 1 answer out...
To find the slope you take rise over run, which is the Y of the 2nd coordinate minus the Y of the 1st coordinate, divided by (or over) the X of the 2nd coordinate minus the X of the 1st coordinate....
IE: ( Y2 - Y1 ) / ( X2 - X1 ) = Rise / Run
So.... The 2nd coordinate's Y value is -3, and the 1st coordinate's Y value is 2... Subtract 2 from -3, and you get -5...
Then the 2nd coordinate's X value is 5, and the first coordinate's X value is 6... Subtract 6 from 5, and you get -1...
Divide -5 over -1, which equals the same as 5 over 1... The rise is 5, the run is 1, the slope is 5 steps vertically for every 1 step horizontally...
Or visually... ( -3 - 2 ) / ( 5 - 6 ) which is -5 / -1... Since both sides are negative, that's the same as 5 / 1... which is 5 vertical steps (rise) for every 1 horizontal step (run), or a slope of 5...
So add the slope rise of 5 to the Y coordinate of the midpoint, -3, and you get 2, which is the Y coordinate of point A... And add slope run of 1 to the midpoint X coordinate, 5, and you get 6, the X coordinate of point A... Now subtract the slope rise of 5 from the midpoint, -3, and you get -8... So that tells you that point B has to have a Y coordinate of -8.... And now subtract the slope run of 1 from the midpoint X coordinate, 5, and you get 4... The X coordinate of point B... Giving you a point B coordinate of (4,-8)...
What is the absolute value of 6 added to the absolute value of 5?
Answer:
11
Step-by-step explanation:
I’m pretty sure. Just add it
Answer:
11
Step-by-step explanation:
Absolute value only applies to negative numbers. It will make negative numbers positive. As you can see in the problem, they are asking for the absolute value of positive numbers, so you can ignore the absolute value signs and add normally.
Hope it helps! Comment if you have any questions!
State the leading coefficient of the polynomial:
f(x) = 6x^5 + 9x^4 + 2x^3 + 3x^2 - 4x -6
Answer:
The leading coefficient of the polynomial is 5 .
Step-by-step explanation:
f(x) = 6x^5 + 9x^4 + 2x^3 + 3x^2 - 4x -6
In this polynomial , the highest exponential is the leading coefficient .
So there are 5 coefficients ,
5 , 4 , 3 , 2 , and x
so above , the highest one is 5 .
Reptile sticker come in sheets of 6 and fish stickers come in sheets of 9. Antonio buys the same number of both types of stickers and he buys at least 100 of each type. What is the least number of sheets of each type he might buy?
Answer:
he ill buy 0.06 reptile stickers and 0.09 fish sticker sheets
Step-by-step explanation:
I WILL MARK BRAINLIEST!!!
Molly swimming in a pool that is 25 m long. She swim 24 length of the pool and 40 minutes. What was the rate of speed in meters per hour?
Can you please tell me how you got the answer thank you
Answer:
the length she swim = 24m
time taken = 40 minutes =40/60hour
rate of speed= 24/(40/60)= 36mper hour
Step-by-step explanation:
Step-by-step explanation:
Because Molly swam across the pool 24 times, she swam a total of 24 * 25m = 600 meters.
600m in 40 minutes
Since 40 minutes * 1.5 = 60 minutes = 1 hour,
600m * 1.5 = 900m.
Hence Molly's speed was 900m/h.
what is bigger 5.6% or square root of 27
square root of 27 is bigger.
What is percentage ?
In math, one percent is equal to a hundredth part; thus, 100 percent represents the entire amount and 200 percent specifies twice that amount
First calculating square root of 27 :
[tex]\sqrt{27}=5.196[/tex]
and 5.6 % is 0.056
clearly [tex]\sqrt{27}[/tex] is greater than 5.6%
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Please solve these problems. 2(2x-1)=3(x-6) and 4(5-7b)-4=-3(1+3b) I will pick Brainliest, and award 15 points. (They are separate problems tho)
Answer:
see explanation
Step-by-step explanation:
Given
2(2x - 1) = 3(x - 6) ← distribute parenthesis on both sides
4x - 2 = 3x - 18 ( subtract 3x from both sides )
x - 2 = - 18 ( add 2 to both sides )
x = - 16
-------------------------------------------------------------------
Given
4(5 - 7b)- 4 = - 3(1 + 3b) ← distribute parenthesis on both sides )
20 - 28b - 4 = - 3 - 9b , that is
16 - 28b = - 3 - 9b ( add 9b to both sides )
16 - 19b = - 3 ( subtract 16 from both sides )
- 19b = - 19 ( divide both sides by - 19 )
b = 1
Answer:
[tex]\sf 1) \ \ \ \ \huge\boxed{\sf x = - 16}[/tex]
[tex]\sf 2) \ \ \ \ \huge\boxed{\sf b = 1}[/tex]
Step-by-step explanation:
[tex]\sf 1) \ 2(2x-1) = 3(x-6)\\\\Resolving \ Parenthesis\\\\4x - 2 = 3x -18\\\\Combining \ like \ terms\\\\4x-3x = -18+2\\\\x = -16[/tex]
[tex]\rule[225]{225}{2}[/tex]
[tex]\sf 2) \ 4(5-7b) - 4 = -3(1+3b)\\\\Resolving\ Parenthesis\\\\20 - 28b-4 = -3-9b\\\\16 - 28b = -3-9b\\\\Combining \ like \ terms\\\\16+3 = -9b + 28b\\\\19 = 19b\\\\Dividing \ both \ sides \ by \ 19\\\\1 = b \\\\OR\\\\b = 1[/tex]
[tex]\rule[225]{225}{2}[/tex]
Need help>>> If 1 inch = 2.54 cm, how many centimeters of fabric will a seamstress need for a 40 inch shawl?
Answer:
A seamstress will need 101.6 centimeters of fabric
Step-by-step explanation:
40 x 2.54 = 101.6
4x-2(x+3)=5(x-3) do y’all know the answer ?
x=3!!!!!!!!!!!!!!!!!
-p(51+z)=dz+84
how do i solve for z
Answer:
Z=53p/d-84/d
Step-by-step explanation:
hope it help's
Example 2 - A rectangle, whose perimeter is two hundred eight feet, has a width that is six feet
shorter than its length. What is the length and width of the rectangle?
Answer:
L=55 ft, W=49 ft
Step-by-step explanation:
W=L-6
perimeter= 2L+2W
208=2(L-6)+2L
L=55
W=55-6
=49
What is the value of y ?
Answer:
y = 80
The opposite angle of y is 80.
Determine the mean of the following set of numbers:
40, 61, 95, 79, 9, 50, 80, 63, 109, 42
Answer:
the mean is 62.8
Step-by-step explanation:
40 + 61 + 95 + 79 + 9 + 50 + 80 + 63 + 109 + 42 = 628
628 / 10 = 62.8
How is 3/12 and 0.25 alike and different
Answer:
Step-by-step explanation:
They equal the same as a deciaml or a fraction. They are differnet because one is a fraction and one is a decimal.
Step-by-step explanation:
0.25=25/100=1/4
3/12=1/4
The box plots show the target heart rates of men 20-40 years olf and men 50-70 which statement is best supported by the information
Evaluate the expression when a= - 7 and y= 2 a-2y
Answer:
j=7
Step-by-step explanation:
What is 20-12x=8-10x
Answer: x= 6
Step-by-step explanation:
20 -12x = 8 - 10x Add 12x to both sides
+12 +12
20 = 8 + 2x subtract 8 from both sides
-8 -8
12 = 2x Divide both sides by 2
x = 6
Answer:
x=6
Step-by-step explanation:
20-12x=8-10x
Add 12x to each side
20-12x+12x=8-10x+12x
20 = 8 +2x
Subtract 8 from each side
20-8 = 8+2x-8
12 = 2x
Divide by 2
12/2 = 2x/2
6 =x
What is the mid point of (0,-4) and (2,-1)
Answer:
[tex](1,\frac{-5}{2} )[/tex]
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]
Simply plug in your coordinates into the midpoint formula to find the midpoint:
[tex](\frac{0+2}{2},\frac{-4-1}{2} )[/tex]
[tex](\frac{2}{2},\frac{-5}{2} )[/tex]
[tex](1,\frac{-5}{2} )[/tex]
Erite 2 • 2•2 •2• 2 • 3•3•3• 3 in exponential form?
Answer:
2^5 * 3^4
a
a
a
a
a
a
a
a
a
aa
easy 2 to the power of 6 multiplied by 3 to the power of 4
Determine whether the dilation from Figure ABC to Figure A'B'C' is a reduction or enlargement Then find its scale factor.
Answer:
This dilation from Figure ABC to Figure A'B'C' is a reduction, with a scale factor of 1/3.
Step-by-step explanation:
The points for Figure ABC are
A =(3,3)
B =(6,3)
C =(6,-3)
The points of Figure A'B'C' are
A' =(1,1)
B' =(2,1)
C' =(2,-1)
To get from (3,3) to (1,1) we have to multiply by 1/3, (6,3) to (2,1) multiply by 1/3, and so on.
Locate the easternmost trade route, which runs from the southern tip of what is
now Florida north to the Wampanoag territory. How long, in miles, was this route?
Answer:
____________
is it 1700 miles ?
If Ben ran 6 miles a day for twenty-eight days, how many total miles did he
run?
All we need to do is multiply.
6 miles * 28 days = 168 total miles ran in 28 days.
Therefore, the answer is 168 miles
Best of Luck!
Which is the distance between the points (-6, 2) and (8, 10)?
Answer:to find the distance between two points (x1,y1) and (x2,y2), all that you need ... What is the distance between the the points (0,0) and (6,8) plotted on the graph.
Step-by-step explanation:
The Distance Formula is a useful tool in finding the distance between two points which can be arbitrarily represented as points \left( {{x_1},{y_1}} \right)(x
1
,y
1
) and \left( {{x_2},{y_2}} \right)(x
2
,y
2
).
The Distance Formula itself is actually derived from the Pythagorean Theorem which is {a^2} + {b^2} = {c^2}a
2
+b
2
=c
2
where cc is the longest side of a right triangle (also known as the hypotenuse) and aa and bb are the other shorter sides (known as the legs of a right triangle).
Simplify:(5x)(3x)
Please help
5x3=15
15x
hope it helps!
Which equation represents a line that passes through (2, -1) and has a slope of 3?
find the indicated length
Answer:
ion know
Step-by-step explanation:
1.
Which of the following is a conjecture?
Why is it so dark in here?
А
He is never going to get here.
B
Straight ahead.
That bridge over there.
D
solve for x 4(−7x−2)−10=-3 + 5x+1
Answer:
i think the answer is -33
Step-by-step explanation: