Answer:
PEMDAS RULE
Step-by-step explanation:
STEP one is multiplication 58-14x2=58-28
STEP two is subtraction 58-28=30
Parenthesis
Exponent
Multiplication
Division
Addition
Subtract
Answer:
Step-by-step explanation:
x = 0.369369369...
10x = 3.69369369...
100x = 36.9369369...
1000x = 369.369369...
1000x - x = 369
999x = 369
Answer:
p = 5 and b = 8
Step-by-step explanation:
First, create a system of equations:
2p + 4b = 42
7p + 9b = 107
Solve by elimination by multiplying the top equation by -7 and the bottom equation by 2:
-14p - 28b = -294
14p + 18b = 214
Add these together, and solve for b:
-10b = -80
b = 8
Plug in 8 as b into one of the equations, and solve for p:
2p + 4b = 42
2p + 4(8) = 42
2p + 32 = 42
2p = 10
p = 5
So, p = 5 and b = 8
Answer:
284cm^2
Step-by-step explanation:
first, we split up the shape into seperate sections that we can easily find the areas of.
i will draw vertical lines in the bottom left and right, leaving me with 2 seperate rectangles and 1 irregular pentagon.
we know that these rectangles are 4x8cm, so we do 4 * 8 which gives us 32.
there are 2 of these, so 32 x 2 = 64cm^2.
now, i chose to seperarte the pentagon into a rectangle and a triangle,
and i found the height and width of the rectangle to be (18 - (4+4)) x (8+7), or 10 x 15.
the area of the rectangle is 150cm^2.
now, for the triangle.
the line through the centre of th shape is 22cm long, but we only want the part in the triangle. luckily, there are mesurements that can help us with this.
8 + 7 = 15.
22 - 15 = 7.
now we know that the height of the triangle is 7 cm.
from earlier, we also know the base, which is 10cm.
7 x 10 = 70cm^2.
now we add all these together:
70 + 150 + 64 = 284cm^2
We know that
a1----------> <span>grains of rice in the first square
a1=2
n------------> space ubication
the expressions is
an=a1</span>^n----------> an=2<span>^n
for the </span><span>the tenth space n=10
</span>an=2^10---------> an=1024 grains of rice
the answer is
1024 grains of rice
