Answer:
C. 51.3 kg
Step-by-step explanation:
Calculation for How much weight did the pony gain from March to May
Weight gain from March to May=364.6 kilograms-313.3 kilograms
Weight gain from March to May=51.3 kg
Therefore the weight that the pony gain from March to May will be 51.3kg
Answer:
Question-6;
The value of
Question-7;
So the Answer is 'A'
Step-by-step explanation:
Question-6;
From the portion 'ABCD';
Given the area of rectangle 'ABCD' is
,
and
![in](https://tex.z-dn.net/?f=in)
We have the formula to find the area of rectangle;
Area of rectangle 'ABCD'![=AD\times DC](https://tex.z-dn.net/?f=%3DAD%5Ctimes%20DC)
![30=4\times x](https://tex.z-dn.net/?f=30%3D4%5Ctimes%20x)
![x=\frac{30}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B30%7D%7B4%7D)
![in](https://tex.z-dn.net/?f=in)
So the value of
.
Question-7;
From figure;
Given;
All values
,
,
,
and
![cm](https://tex.z-dn.net/?f=cm)
In Rectangle 'ABIJ' have three sub-rectangle which are 'ABCD' , 'CDFG' and 'FGIJ'
Area of Rectangle 'ABIJ' equal to sum of area of Rectangle 'ABCD' , area of Rectangle 'CDFG' and area of Rectangle 'FGIJ'
Area of Rectangle 'ABIJ'
Plug all values in above equation,
Area of Rectangle 'ABIJ'![=(9\times 5)+(9\times 4)+(9\times 3)](https://tex.z-dn.net/?f=%3D%289%5Ctimes%205%29%2B%289%5Ctimes%204%29%2B%289%5Ctimes%203%29)
Area of Rectangle 'ABIJ'
![cm^{2}](https://tex.z-dn.net/?f=cm%5E%7B2%7D)
Also from figure;
and
have same Area.
Total Area of this two triangle![=2\times Area of \bigtriangleup CEF](https://tex.z-dn.net/?f=%3D2%5Ctimes%20Area%20of%20%5Cbigtriangleup%20CEF)
Total Area of this two triangle![=2\times\frac{1}{2}\times BASE \times HIGHT](https://tex.z-dn.net/?f=%3D2%5Ctimes%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20BASE%20%5Ctimes%20HIGHT)
Total Area of this two triangle
Plug 'EF' and 'CF' values in above equation,
Total Area of this two triangle![=2\times \frac{1}{2} \times3 \times 4](https://tex.z-dn.net/?f=%3D2%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes3%20%5Ctimes%204)
Total Area of this two triangle
![cm^{2}](https://tex.z-dn.net/?f=cm%5E%7B2%7D)
∴ Total surface area of the building block is
![cm^{2}](https://tex.z-dn.net/?f=cm%5E%7B2%7D)
Y=-x-6
Check:
if x=0
y=-(0)-6
y=-6
Answer:
The equation is;
(2x-2) + (4x + 2) = 180
x = 30
m∠A = 58
Step-by-step explanation:
Mathematically, when two angles are supplementary, the values of both angles add up to be 180
From
what we have here;
(2x -2) + (4x + 2) = 180
2x -2 + 4x + 2 = 180
6x = 180
x = 180/6
x = 30
Recall;
The measure of angle A is as follows;
2x -2 = 2(30) - 2 = 60-2 = 58
K so you have to set 2 equations like this
x meaning the amount of adults
and y meaning the amount of kids
x+y=11
13.5x+8.25y=111.75
Then use substitution method and you get
x=11-y from the first equation
plug that in to the second and you get
13.5(11-y)+8.25y=111.75
Solve for y in that equation by distributing and then combining like terms
148.5 - 13.5y + 8.25y = 111.75
148.5 - 5.25y = 111.75
Then, you need to subtract 148.5 from each side and cancel the negatives
5.25y=36.75
solve for y and you get
36.75/5.25 = 7
y=7
7 Children attended the movie.
Hope this heldped!