Answer:
Answer 1: 15
Answer 2: 11.55
Answer 3: 1985
Step-by-step explanation:
your welcome (*_*)
Answer:
a=21
AB=23.9
BC=19.5
CD=(23.9)
AD=19.5
Step-by-step explanation:
Each pair of parallel sides are equal in a parallelogram. Sense both pairs use the same variable we can just choose the easiest to solve which would be:
a-1.5=19.5
add 1.5 to both sides
a=21
now substitute 21 in for a in each equation.
AB=CD so
AB=23.9
BC=AD so
BC=19.5
CD=(21)+2.9 so
CD=(23.9)
AD is given so
AD=19.5
Answer:
Given expression is equal to 1/32
Step-by-step explanation:
Given that:
= 4^(-5/2)
To eliminate "-" sign we will invert the fraction as follows:
= (1/4)^ 5/2
Or it can be written as:
= ![=\sqrt{(1/4)^5} \\=\sqrt{1/1024} \\=1/32](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%281%2F4%29%5E5%7D%20%5C%5C%3D%5Csqrt%7B1%2F1024%7D%20%5C%5C%3D1%2F32)
This is the simplified expression.
i hope it will help you!
Given:
Total number of marbles in the bag = 150
There are 21 blue marbles for every 4 white marbles.
To find:
The number of blue marbles in the bag.
Solution:
Since, there are 21 blue marbles for every 4 white marbles, therefore the ratio of blue marble to white marbles is 21:4.
Let the number of blue marbles be 21x and white marbles be 4x.
Total number of marbles in the bag = 150
![21x+4x=150](https://tex.z-dn.net/?f=21x%2B4x%3D150)
![25x=150](https://tex.z-dn.net/?f=25x%3D150)
Divide both sides by 25.
![x=\dfrac{150}{25}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B150%7D%7B25%7D)
![x=6](https://tex.z-dn.net/?f=x%3D6)
Now,
![\text{Blue marbles}=21x](https://tex.z-dn.net/?f=%5Ctext%7BBlue%20marbles%7D%3D21x)
![\text{Blue marbles}=21(6)](https://tex.z-dn.net/?f=%5Ctext%7BBlue%20marbles%7D%3D21%286%29)
![\text{Blue marbles}=126](https://tex.z-dn.net/?f=%5Ctext%7BBlue%20marbles%7D%3D126)
Therefore, the number of blue marbles is 126.