Angie mows lawns in her neighborhood to make money. She charges $25 per lawn and buys a new mower for $200. If x is the number of lawns, and p is her profit, which of the following would you use to find Angie's profit?
p = 25x - 200
Which of the following is equivalent to the inequality 5x+7<17?
5x < 10
At the video rental shop, 5 movies can be rented for $6.99. Each additional movie rental is $1.99. What would be the total cost of renting 8 movies?
The first 5 movies cost $6.99, which leaves 3 more movies to rent. Each additional movie is $1.99, so the cost of renting the remaining 3 movies is $1.99 per movie x 3 movies = $5.97.
Therefore, the total cost of renting 8 movies would be $6.99 + $5.97 = $12.96.
The scale blueprint of a rectangular patio is drawn 18 inch to 1 foot. If the patio is 14 feet long, what is the measure of the patio's length on the blueprint?
We know that 18 inches = 1.5 feet (since there are 12 inches in a foot), so the scale blueprint can be simplified to 1.5 feet to 1 foot.
To find the length of the patio on the blueprint, we can set up a proportion:
1.5 feet / 1 foot = x / 14 feet
where x is the length of the patio on the blueprint.
To solve for x, we can cross-multiply:
1.5 feet * 14 feet = x * 1 foot
21 = x
Therefore, the length of the patio on the blueprint is 21 inches.
Which is equivalent to (7 - 3)3?
(7 - 3)3 simplifies to 4 x 3, which is equivalent to 12.
n a bag of candies there are 13 red candies, 13 green candies, 13 yellow candies, and 13 blue candies. If you choose 1 candy from the bag, what is the probability the candy will not be blue?
There are a total of 13 + 13 + 13 + 13 = 52 candies in the bag. Since we want to find the probability that the candy chosen is not blue, we need to find the total number of candies that are not blue.
There are 13 + 13 + 13 = 39 candies that are not blue.
Therefore, the probability of choosing a candy that is not blue is:
P(not blue) = 39/52
P(not blue) = 3/4 or 0.75
So, there is a 3/4 or 0.75 probability that the candy chosen will not be blue.
Which graph best represents the solution to 78≥14x+12
f A closed circle centered on 1/2 with shaded region extending to the left.
g A closed circle centered on 1 and 1/8 with shaded region extending to the left.
h A closed circle centered on 1/8 with shaded region extending to the left.
j A closed circle centered on 5 and 1/2 with shaded region extending to the left.
To graph the solution to the inequality 78≥14x+12, we first need to isolate the variable:
78 - 12 ≥ 14x
66 ≥ 14x
Dividing both sides by 14 gives:
4.714... ≥ x
This means that x can be any number less than or equal to 4 and 7/14 or 4.5 when rounded to the nearest tenth.
Therefore, the correct graph would be (g) - a closed circle centered on 1 and 1/8 with shaded region extending to the left (indicating all values less than or equal to 4.5).