The measure of angle B is 97°
Answer:
30 65/72 yards
Step-by-step explanation:
First, change the first fraction to a mixed number. 8 x 7 = 56, plus 7 equals 63. So, the first fraction is 63/8. Next, 9 x 5 equals 45, plus 7 equals 52. So, the second fraction is 52/9. Now, you can't add fractions with different denominators, so you have to change the denominators. You can multiply the first fraction by 9 and the second fraction by 8 so they will have the same denominator of 72. 63/8 x 9 equals 567/72. 52/9 x 8 equals 416/72. 567 + 416 = 983. So, the sum of the first two fractions is 983/72. Now, convert the last fraction into a mixed number. 17 x 4 = 68, plus 1 equals 69. So, the last fraction is 69/4. Once again, the numbers need to have the same denominator, so we can multiply 69/4 by 18 to get 1242/72. Now, 983 + 1242 = 2225, so the sum of all of the fractions is 2225/72. Because this fractions is HUGE, we can change this into a mixed number. 2225/72 as a mixed number is 30 65/72. Because this fraction can't be simplified anymore, the answer would be 30 65/72. Hope this helped!
Answer:
Number with 1 dog, number with 3, and number with 4 are all incorrectly plotted.
Answer:
The number of movies must be greater than 10
Step-by-step explanation:
Let
x ----> the number of movies
y ----> the total cost
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or unit rate
b is the y-intercept or initial value
In this problem we have
<em>Membership</em>
The slope is equal to
The y-intercept is equal to
---> enrollment fee
so
The linear equation is
----> equation A
<em>Non-Members</em>
The slope is equal to
The y-intercept is equal to
---> Is a proportional relationship
so
The linear equation is
----> equation B
Solve the inequality
Divide both sides by -3
Remember that when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
so
therefore
The number of movies must be greater than 10
