1. The US Senate is composed of 2 senators from each of the 50 states. For a treaty to be ratified, at least two-thirds of the senators present must approve the treaty. Suppose all senators are present and 48 of them have voted in favor of a treaty. What are the possible numbers of additional senators who must vote in favor of the treaty to ratify it?

at least 12 senators
at least 18 senators
at least 19 senators
at least 20 senators

How do you solve this?

Also, if your on connexus and your doing the 4.1.5 Quick-Check the answers are:

1. A
2. A
3. C
4. A
5. C
6. B

First of all, Mars is correct for CCA.

You can also solve the inequality x + 48 ≥ (greater than or equal to) 2/3 * 100, which gives you the solution of "at least 19 senators." The variable x is the least amount of senators needed to vote in favor of the treaty in order to ratify it. You need to add 48 because 48 senators already approved the treaty. The expression x + 48 must be greater than or equal to 2/3 * 100 because you need at least 2/3 * 100 (about 67 senators) in order to ratify the treaty, so the variable x (plus the already approved 48 senators) must be greater than or equal to 67 senators.

Following Mrs. Sue, you can find the answer by subtracting 48 from 67, which gives you the answer that a minimum of 19 senators are needed in order to ratify the treaty.

Answers below:
1. Solve x + 1/4 > 3/4
x > 1/2

2. Solve 3.8 ≥ (greater than or equal to) b + 4
b ≤ (less than or equal to) -0.2

3. The U.S. Senate is composed of 2 senators from each of the 50 states. For a treaty to be ratified, at least 2/3 of the senators present must approve the treaty. Suppose all senators are present and 48 of them have voted in favor of a treaty. What are the possible numbers of additional senators who must vote in favor of the treaty to ratify it?
at least 19 senators [answer explained and inequality given above]

From 4-6, match the inequality to the graph of the solution. This may change depending on where you are.
4. c - 6 < 4
A; an open circle on 10 graphed to the left of the number line.
c - 6 < 4
c < 4 + 6
c < 10

5. c - 3 > 1
C; an open circle on 4 graphed to the right of the number line.
c - 3 > 1
c > 1 + 3
c > 4

6. c + 7 ≤ (less than or equal to) 3
B; closed circle on -4 to the left of the number line.
c + 7 ≤ 3
c ≤ 3 - 7
c ≤ -4

The asnwer is 19 senators

Mars is correct execpt that they changed the last few but 1-3 are correct.

Mars is 100% corrects all answers are correct

thx ma boi

e and Mars are 100 % correct

2/3 * 100 = ? senators needed to pass the treaty. (Hint: round up since we don't usually see a fraction of a senator.)

Subtract 48 from your answer.

Ok got it thanks!

You're welcome.