Divide 29 by 5 which equals 5 r4. So, the answer is 5 wholes and 4/5
Answer:
The number of red pens is 20.
The number of blue pens is 4.
Step-by-step explanation:
We are given that, the ratio of number of red pens to the number of blue pens is 5 : 1.
∴ Let us assume that the number of red pens be 5<em>x</em> and number of blue pens be <em>x</em>.
Total number of pens in the desk drawer = 24
Now, according to question :
Number of red pens + Number of blue pens = 24
⇒5<em>x</em> + <em>x</em> = 24
⇒6<em>x</em> = 24
⇒
So, number of red pens in the drawer = 5<em>x</em> = 5 × 4 = 20
Number of blue pens in the drawer = <em>x</em> = 4
Let x be the 1st odd number, and x+2 the second odd consecutive number:
(x)(x + 2) = 6[((x) + (x+2)] -1
x² + 2x = 6(2x + 2) - 1
x² + 2x = 12x +12 - 1
And x² - 10x - 11=0
Solve this quadratic expression:
x' = [+10 +√(10²- 4.(1)(-11)]/2 and x" = [+10 -√(10²- 4.(1)(-11)]/2
x' = [10 + √144]/2 and x" = [10 - √64]/2
x' = (10+12)/2 and x" = (10-12)/2
x = 11 and x = -1
We have 2 solutions that satisfy the problem:
1st for x = 11, the numbers at 11 and 13
2nd for x = - 1 , the numbers are -1 and +1
If you plug each one in the original equation :(x)(x + 2) = 6[((x) + (x+2)] -1
you will find that both generates an equlity
<u>Given</u>:
Given that the diameter of the hemisphere is 48 inches.
We need to determine the volume of the hemisphere.
<u>Radius:</u>
The radius of the hemisphere can be determined using the formula,

Substituting d = 48, we get;


Thus, the radius of the hemisphere is 24 inches.
<u>Volume of the hemisphere:</u>
The volume of the hemisphere can be determined using the formula,

Substituting r = 24, we get;



Thus, the volume of the hemisphere is 9216π cubic inches.
Answer:
The bag costs 1500, while the umbrella cost 500
Step-by-step explanation:
Let the cost of the bag be b and the cost of the umbrella be u
Total cost is;
b + u = 2,000 •••••(i)
From the second part of the question;
b = 5u-1000 ••••••(ii)
Substitute ii into i
5u-1000 + u = 2000
6u = 2000 + 1000
6u = 3000
u = 3000/6
u = 500
To get b, substitute the value of u into equation ii
b = 5(500)-1000
b = 2500-1000
b = 1500