Answer:
The third one, 2c - 6
Step-by-step explanation:
Using proportions, it is found that:
- The fraction that shows the proportion of customers who voted for cheddar flavor is
- 56% of customers voted for cheddar flavor.
- A proportion is the <u>number of desired outcomes divided by the number of total outcomes</u>.
- A percentage is the <u>proportion multiplied by 100%</u>.
In this question, 42 out of 75 customers voted for the cheddar flavor, hence:
That is, the fraction that shows the proportion of customers who voted for cheddar flavor is
The percentage is:
56% of customers voted for cheddar flavor.
To learn more about proportions, you can take a look at brainly.com/question/24372153
There are 5 solutions for this system.
x^2 + 4y^2 = 100 ____1
4y - x^2 = -20 ____2
Add both 1 & 2 together. x^2 gets cancelled
4y^2 + 4y = 80 (send 80 to the other side and divide by 4)
Then equation the becomes : y^2 + y -20 =0
Now factorise the equation: (y+5) (y-4) = 0
Solve for y : y = -5 and y = 4
Using the values of y to find the values of x. From equation 1:
x^2 = 100 - 4y^2 x = /100 - 4y^2 (/ means square root) Replace values of y
y = -5, x = /100 - 4(-5)^2 = /100 - 100 = 0
y = 4, x = /100 - 4(4)^2 = / 100 - 64 = /36 = -6 or 6
Thus we have 6 solutions y = -5, 4 and x = -6, 0, 6
Answer:
Step-by-step explanation:
Let x represent the number of apples that she wants to buy.
The grocery store sells apples for $1 each and mangos for $0.50 each.
If Gabriella decided to buy 13 mangos, it means that the cost of buying x apples and 13 mangoes is expressed as
x + 13 × 0.5 = x + 6.5
If she buy at least 19 apples, it means that
x + 13 ≥ 19
x ≥ 19 - 13
x ≥ 6
Gabriella has $15 to spend. It means that
x + 6.5 ≤ 15
x ≤ 15 - 6.5
x ≤ 8.5
Therefore, the maximum number of apples that she can buy is 8
