Hello! I can help you with this! It asks for a ratio, so we have to solve it in that format. Although, there are different ways of solving it.
1. Okay. So a ratio for this would be 3/4 : 5/6. To divide fractions, we must keep the first fraction the same, change the division into a multiplication symbol, and flip the second fraction over. So it would look like this: 3/4 * 6/5. Multiply straight across (n*n/ d*d). When you do that, you get 18/20 or 9/10 in simplest form. The landscaper's rater is 9/10 acres per hour.
2. The ratio for this question is 9/4 : 1/2 For the next question, we repeat the steps for dividing fractions. Keep, Change, Flip. 9/4 * 2/1 is 18/4 or 4 1/2 in simplest form. Sally's running speed is 4 1/2 miles per hour.
3. Okay. Going back to question #1, the unit rate was 9/10 acres per hour. All we have to do now is multiply that number by 4. To multiply fractions, do it straight across. 9/10 * 4/1 is 36/10 or 3 3/5 in simplest form. A landscaper can mow 3 3/5 acres in 4 hours.
4. Then we repeat the steps done in question #3, and incorporate it in this problem. Going back to question #2, the unit rate was 4 1/2 miles per hour. All we have to do is multiply by 3. 9/2 * 3/1 is 27/2 or 13 1/2 in simplest form. Sally can run 13 1/2 miles in 3 hours.
Answer:-9
Step-by-step explanation: Divide each term by -25 and simplify
C because the highest and lowest Y values are at -7 and 4.
Equation #1:
|2x - 3| = 17
The first solution is
2x - 3 = 17
2x = 17 + 3 = 20
x = 10
The second solution is
3 - 2x = 17
-2x = 17 - 3 = 14
x = -7
The solutions are x = 10 or x = -7.
Equation #2:
|5x + 3| = 12
The only solution is
5x + 3 = 12
5x = 12 - 3 = 9
x = 9/5
Let us examine the given answers.
a. Equation #1 and #2 have the same number of solutions.
FALSE
b. Equation @1 has more solutions than Equation #2.
TRUE
c. Equation #1 has fewer solutions than equation #2.
FALSE
d. None of the statements a,b, or c apply.
FALSE
Answer: b.
Step-by-step explanation:
THREE SOLUTION TO PROVE ITS FALSE
1:2
Multiply by 3 on each side
1*3 : 2*3 = 3:6
This is not the same as 6:3
3 apple:6 bananas is not the same as 6 apples: 3 bananas
1:2 is equivalent to 6:12 not 6:3
because 1x6=6 2×6=12 =6:12
3)
however when we solve mathematically
1/2=6/3
1/2=2
The sides are not equa so its false
