Answer:

Here,
denotes number of frosting flowers
Step-by-step explanation:
Let
denotes number of frosting flowers.
Amount charged by baker for each batch of cupcakes = $30
Amount charged for each frosting flower = $0.09
So,
Amount charged for
frosting flowers = 
Therefore,
Total cost of a batch of cupcakes with frosting flowers = 
Let's draw the diagonals of the square. The square is being divided by 4 right triangles. & these right triangles are also isosceles (the diagonals of a square intercepts each other in the middle).
The area of each right triangle = (6 x 6) / 2 = 18 yard² & the 4 right triangles => 4x 18 = 72 yd²
Answer:
a. 1 1/8 b. 8/9
Step-by-step explanation:
You can set this up as a proportion to solve. For part a. we know that 2/3 of the road is 3/4 mile long. 2/3 + 1/3 = the whole road, so we need how many miles of the road is 1/3 its length. Set up the proportion like this:

Cross multiplying gives you:

The 3's on the right cancel out nicely, leaving you with

To solve for x, multiply both sides by 3/2:
gives you

That means that the road is still missing 3/8 of a mile til it's finished. The length of the road is found by adding the 3/4 to the 3/8:

So the road is a total of 1 1/8 miles long.
For b. we need to find out how much of 1 1/8 is 1 mile:
1 mile = x * 9/8 and
x = 8/9. When 1 mile of the road is completed, that is 8/9 of the total length of the road completed.
Before we figure out how many customers you will need to talk per day to reach your goal, let's calculate what is 20% of how many customers you normally talk to a day.
current no. = 8
goal = 8 + 20%
20% = 8 x 0.20
(a percent is really just a fraction with the percent number over 100)
20% = 1.60
goal = 8 + 1.60
goal = 9.60
However, there is no such thing as .60 of a person so we will have to round up. You will need to talk to 10 customers per day.
Answer:
6
Step-by-step explanation:
Express the equation in slope- intercept form
y = mx + b ( where m is the slope and b the y- intercept )
Here m = - 0.5, thus
y = - 0.5x + b
To find b substitute (10, 1) into the equation
1 = - 5 + b ⇒ b = 1 + 5 = 6 ← y- intercept