Answer:
Step-by-step explanation:
let $p, $c and $d represents the costs of popcorn, candy and a drink respectively. If the popcorn was three times as expensive as the candy then;
p = 3c.... 1
If the drink was twice as expensive as the candy then d = 2c .... 2
If Eva spent a total sum of $10.50 at the movies, the equation that represents the situation will be p + c + d = $10.50 .... 3
Substituting equation 1 and 2 into 3;
3c + c + 2c = $10.50
6c = $10.50
<em>Hence the equation to represent the situation is 6c = $10.50 where c represents the cost of the candy.</em>
<em></em>
b) To get c from the equation 6c = $10.50, we will simply divide both sides by the coefficient of c i.e 6 as shown
6c/6 = $10.50/6
c = $1.75
<em>Hence the value of c is $1.75</em>
<em></em>
<em>c) </em>The equation representing Eva's drink in terms of the candy is expressed as d = 2c
Substituting c = $1.75 into the equation will give;
d = 2(1.75)
d = 3.5
<em></em>
<em>Hence the cost of Eva's drink is $3.50</em>
Answer:
Perimeter A = 122.5
Step-by-step explanation:
Set up the following proportion
The Perimeter of B = 12 + 9 + 9 + 5
The Perimeter of B = 35
7/2 = x/PerimeterB
7/2 = x / 35 Cross multiply
7*35 = 2x Combine the left side
245 = 2x Divide by 2
245/2 = 2x/2 Do the division
122.5 = x
The Perimeter of A = 122.5
Problem 3
If you compare the sides opposite the angle marked with a single arc, you will get the scale factor.
If these triangles are similar, and one of the sides opposite their markings will give you the scale factor
18/7.2 = x/1 where x is the scale factor going from the larger to the smaller triangle.
2.5 = x
So if you multiply the smaller triangle's sides by 2.5 you get the larger triangle.
To convert a mixed number into<span> a </span>fraction:First, <span>multiply the </span>whole number<span> by the denominator (the bottom part), and add the result to the numerator (the top part). That's how you convert a mixed number into a fraction I hope that helped. Also if you are in college don't you think you should know that? LOL :D Glad to help.</span>
Answer:
Step-by-step explanation:
The standard form is called the scientific notation expressed generally as;
A is an integer between 1 and 10
n is ant integer or fraction
Given the decimal value 98.704, we ill shift the decimal point to the back once to have;
98.704 =
<u>Note the when the decimal point is shifted backwards the value of n is always positive</u>. Hence the expansion in power of 10 is
Answer:
40 or 39
Step-by-step explanation:
