Answer:
7x/12
Step-by-step explanation:
Let her entire allowance be represented by 'x'
She spent 5/8 of 2/3 of her allowance on magazines.
= 5/8×2/3
= 10/24
= 5/12
That 5/12 of 'x'
5/12x
Since her total allowance is x
She will be left with = x - 5/12x
x/1 - 5/12x
12x-5x/12x
= 7x/12
Hence she will be left with 7x/12
If you would like to solve the equation 13 - 3 / 2 * x = 34, you can do this using the following steps:
13 - 3 / 2 * x = 34
13 - 34 = 3 / 2 * x
- 21 = 3 / 2 * x /* 2/3
x = - 21 * 2 / 3
x = - 14
The correct result would be - 14.
Answer:
<h2>
CYLINDER</h2>
Surface Area = 471.2 cm^2
<h2>
TRIANGULAR PRISM</h2>
Surface Area = 60.75 m^2
Step-by-step explanation:
<h2>
CYLINDER</h2>
The surface area formula for a cylinder is π x diameter x (diameter / 2 + height), where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is π x radius x 2 x (radius + height). ( π =3.14 )
FORMULA:
π x 5 x 2 x 15
WORK:
π x 5 = 15.7
15.7 x 2 = 31.4
31.4 x 15 = 471
<h2>
TRIANGULAR PRISM</h2>
The surface area formula for a triangular prism is 2 * (height x base / 2) + length x width1 + length x width2 + length x base.
FORMULA:
2 x (2.5 x 1.5/2) + (6 x 4) + (6 x 4) + (6 x 1.5)
WORK:
(2.5 x 1.5) = 3.75/2 = 1.875
1.875 x 2 = 3.75
(6 x 4) = 24
(6 x 4) = 24
(6 x 1.5) = 9
3.75 + 24 + 24 + 9 = 60.75
Answer:
3
Step-by-step explanation:
And,
$ \sum (2i+1)= \sum (2i)+ \sum_{i=1} ^{4} (1) $
$=\sum_{i=1} ^{4}(2i) + 1+1+1+1 $
$=\boxed{\Big(\sum_{n=1} ^{4}(2n)\Big) +4}.... \text{Variable in Summation doesn't matter}$
Hence the difference is 3.
Answer:
10
Step-by-step explanation:
Turn 3 1/3 into an improper fraction.
(3*3) + 1 = 10/3 so 10/3 is the same as 3 1/3
Turn the 3 into an improper fraction of 3/1
Now multiply 10/3 * 3/1 multiplying straight across: 10*3/3*1=30/3=10