The sum of the 18 numbers is 22.5 x 18 = 405.
Let the numbers be x, x + 1, x + 2, . . ., x + 17
Sum of n term of an arithmetic sequence = n/2(a + l)
18/2(x + x + 17) = 405
9(2x + 17) = 405
2x + 17 = 405/9 = 45
2x = 45 - 17 = 28
x = 28/2 = 14
Therefore, the smallest integer is 14.
We are given that Grandma has 14 red roses and 7 pink roses.
In order to represent them on bar modal, we need to make a bar with 14 identical sections for 14 red roses.
And for pink roses, we need to make a bar with 7 identical sections for 7 pink roses.
<em>From the bar graph, we can see that bar for red roses have 7 more boxes than bar of pink roses.</em>
<h3>Therefore, she have 7 more red roses than pink roses.</h3>
The integer 8 represents a gain of 8 yards.
If there's 100 cookies, of which there are 40 oatmeal raisin and 10 sugar cookies, there are 50 out of 100 cookies which you want. Hence by chance, there is a 50/100, or 1 in 2 chance of you obtaining an oatmeal raisin or a sugar cookie.
Answer: Sylvia should use 35 pounds of Kona coffee and 65 pounds of Columbian coffee
Step-by-step explanation:
Let x represent the number of pounds of Kona coffee that Sylvia should use.
Let y represent the number of pounds of Columbian coffee that Sylvia should use.
Sylvia wants to mix 100 pounds of Breakfast Blend coffee. This means that
x + y = 100
She is using two types of coffee to create the mixture. Kona coffee sells for $51 per pound and Columbian coffee sells for $11 per pound and the mixture would sell for $25 per pound.
This means that
51x + 11y = 2500 - - - - - - - - 1
Substituting x = 100 - y into equation 1, it becomes
51(100 - y) + 11y = 2500
5100 - 51y + 11y = 2500
- 51y + 11y = 2500 - 5100
- 40y = - 2600
y = - 2600/-40
y = 65
x = 100 - y
x = 100 - 65 = 35