in 1st figure
2:1=(x+2):2
2/1=(x+2)/2
4=x+2
x=2.
Similarly in the 2nd figure
8:5=(8+3):(5+x)
8/5 = 11/ (5+x)
8(5+x) =55
40+8x=55
8x=15
x=15/8
x=1.875
Answer:
8x + 16y = 39 and
40x + 8y = 42
Step-by-step explanation:
Let the length of the blue tiles is b inches and that of the white tiles is w inches.
So, given that a row of 8 blue tiles and 16 white tiles has a length of 39 inches and a row of 40 blue tiles and 8 white tiles has a length of 42 inches.
Therefore, we can write the system of linear equations that represents the relationship between the length if a blue tile and a white tile in inches as
8x + 16y = 39 and
40x + 8y = 42 (Answer)
Answer:
See Explanation
Step-by-step explanation:
The question has unclear information.
So, I'll answer from scratch
Given
ABC = Right angled triangle
DB bisects ABC
Required
Prove that CBD = 45
From the question, we have that:
ABC is right angled at B
So, when DB bisects ABC, it means that DB divides ABC into two equal angles.
i.e.
and
Substitute CBD for ABD in
Divide both sides by 2
Hence, it is proved that
<em>Follow the above explanation and use it to answer your question properly</em>
Answer:
50
Step-by-step explanation:
The translation of the question is as shown;
First note that the original number is 35
The sum of 35 and one-fifth part of itself .
= 35 + 1/5(35)
= 35+7
= 42 ... A
sum of one-seventh part of itself and 3 will be;
= 1/7(35) + 3
= 5+3
= 8... B
Adding A and B together wiill give us the final result
A+B = 42+8
A+B = 50
The sum of 35 and one-fifth part of itself added to the sum of one-seventh
part of itself and 3 is therefore equivalent to 50
One day, you go to a store and buy a pencil. It costs $0.25.
You notice the unit price $0.25/pencil.
The next day you buy 3 pencils, they cost $0.75.
You notice the unit price is $0.75/(3 pencils) = $0.25/pencil.
For each extra pencil you buy, the increase in price is always $0.25.
This suggests a linear relation between the number of pencils, p, and the cost of the pencils, c.
You use a linear equation to give you the cost of pencils based on the number of pencils.
c = 0.25p
One day, you happen to have $4.50 in your pocket.
You'd like to buy 15 pencils, but you are not sure you have enough money.
You use your handy linear equation, and you replace p, the number of pencils, with 15 to find their cost, c.
c = 0.25p
c = 0.25 * 15
c = 3.75
After using your equation, you see that 15 pencils cost $3.75, and since you have $4.50 you have enough money to buy them. You're very happy about this, and, as soon as you get home, you write this experience in your journal, using one of the new pencils you just bought, and you make it a point to include the linear equation that helped you.
