Set up a ratio with the height over the shadow.
Let the height of the tower be X
The ratio of the tower is x/120
The ratio if the sign is 10/8
Set them to equal and solve for x:
x/120 = 10/8
Cross multiply:
8x = 1200
Divide both sides by 8:
x = 1200/8
x =150
The answer is B. 150 ft.
Answer: There are 30 gallons of anti freeze of first brand and 120 gallons of anti freeze of second brand.
Step-by-step explanation:
Since we have given that
Percentage of anti freeze in first brand = 35%
Percentage of anti freeze in second brand = 85%
Percentage of anti freeze in mixture = 75%
Total number of gallons of mixture = 150 gallons
We will use " Mixture and Allegation":
First brand Second brand
35% 85%
75%
------------------------------------------------------------------
85%-75% : 75%-35%
10 : 40
1 : 4
So, Number of gallons of anti freeze in first brand is given by
Number of gallons of anti freeze in second brand is given by
Hence, there are 30 gallons of anti freeze of first brand and 120 gallons of anti freeze of second brand.
White as system of equations:
a=(3,-2) b=(1-1)
{a=1-1
{(3-2)b=1-1
Solve the equation for a:
{a=0
{(3-2)b=1-1
Solve for B :
a=0
b=0
The possible solution to the system is the ordered pair ( a , b )
Solution:
( a , b )= ( 0 , 0 )
There you have your answer :)
(7a-b+3)-(-2a-8b+8)
Apply plus/minus rule.
-(-a)= a and -(a)=-a
we get
(7a-b+3)-(-2a-8b+8)= 7a-b+3+2a+8b-8
Add like terms
=9a+7b-5
Answer: 9a + 7b - 5
Answer:
<u>The final answer is 35n/17r</u>
Step-by-step explanation:
Let's simplify the expression, this way:
1. Start with the coefficients:
(10 * 42)/(6 * 34)
We cancel 6 in the denominator and change 42 by 7. Now we have:
(10 * 7)/34
We now divide by 2 both in the numerator and the denominator. Now we have:
(5 * 7)/17.
The remaining numbers are prime numbers and it's not possible to continue simplifying, so we got:
35/17
2. Variable r:
We have r⁴/r⁵ = r ⁴⁻⁵ = r⁻¹ = 1/r¹ = 1/r
3. Variable n:
We have n⁴/n³ = n ⁴⁻³ = n¹/1 = n
4. Adding the pieces:
We put coefficients and variables together: 35/17 * 1/r * n
<u>The final answer is 35n/17r</u>
