Answer: 20 lawns could be mowed in 35 hours.
Step-by-step explanation: Lets write a ratio to represent this problem. The ratio 7:4 states that for every 7 hours you will mow 4 lawns.
Now we have to figure out how many lawns we will mow in 35 hours. Simply keep adding 7 to the left side of the ratio and 4 to the right side.
7:4
14:8
21:12
28:16
35:20
So in 35 hours, 20 lawns will be mowed.
243.9 tenth
243.88 for hundredth
240 for ten
200 for hundred
Answer:
B
Step-by-step explanation:
1. In order to determine the inequality, you must first solve the solution set to determine what x is less than.
So you would do this:
1 + 2x < 9 Subtract 1
2x < 8 Divide by 2
x < 4
2. Next, you need to understand the difference between an open circle and a closed circle shown on the solution sets.
An open circle is equal to the following inequalities:
<, >
A Closed circle represents inequalities in situations such as:
greater than or equal to, or less than or equal to
3. Because the inequality above represents only less than or greater than the inequality sets should have an open circle being used.
Since x is less than 4 it should be moving to the left of the line inequality set.
Answer:
x=4
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(x+5) *x = 6^2
x^2 +5x = 36
Subtract 36 from each side
x^2 +5x - 36 = 0
Factor
( x-4) (x+9) = 0
Using the zero product property
x-4 = 0 x+9 =0
x = 4 x=-9
Cannot be negative since that is negative length
x=4
Answer:
F
Step-by-step explanation:
Using the properties of 45-45-90 triangles
8=x*sqrt(2)
4sqrt(2)=x
