Answer:
The correct answers are x + y = 5600 and x - y = 700.
Step-by-step explanation:
Write a system of equations in x and y describing the situation. Do not solve the system.
Keiko has a total of $ 5600, which she has invested in two accounts.
Let x be the amount of money in the larger account and y be the amount of money in the smaller account.
So, Keiko has invested her $5600 in two accounts x and y.
Thus x + y = 5600.
Also, given by the problem, the larger account (x) is $ 700 greater than the smaller account (y).
Thus x - y = 700.
Thus the two system of equation in x and y describing the given situation are
x + y = 5600 and x - y = 700
2(2x) + 1x = 40 or 4x + 1x = 40 is the result of combining by substitution
<em><u>Solution:</u></em>
Given that we have to combine 2y + 1x = 40 and y = 2x using substitution method
The substitution method for solving systems of equations involves expressing one variable in terms of another, thus removing one variable from an equation.
<em><u>Given equations are:</u></em>
2y + 1x = 40 -------- eqn 1
y = 2x ----------- eqn 2
We can substitute eqn 2 in eqn 1
Which means, substitute y = 2x in place of y in eqn 1
2(2x) + 1x = 40
4x + 1x = 40
5x = 40
x = 8
From eqn 2,
y = 2(8)
y = 16
Thus by combining using substitution method we found the solution
So we want to see which number line shows the sum 1.5 + 2.5. We will see that the correct option is <u>"An arrow goes from 0 to 1. 5 and from 1. 5 to 4"</u>
So the number line usually starts at 0 and goes to the first number, 1.5 in this case.
Then, it moves accordingly to the second number, 2.5 (so it will move 2.5 units to the right)
So the number line should start at 0 and move to the right until it meets 1.5 + 2.5 = 4.
From the options, the only that is correct is:
<u><em>"An arrow goes from 0 to 1. 5 and from 1. 5 to 4"</em></u>
If you want to learn more about number lines, you can read:
brainly.com/question/10851163
9514 1404 393
Answer:
4a. ∠V≅∠Y
4b. TU ≅ WX
5. No; no applicable postulate
6. see below
Step-by-step explanation:
<h3>4.</h3>
a. When you use the ASA postulate, you are claiming you have shown two angles and the side between them to be congruent. Here, you're given side TV and angle T are congruent to their counterparts, sides WY and angle W. The angle at the other end of segment TV is angle V. Its counterpart is the other end of segment WY from angle W. In order to use ASA, we must show ...
∠V≅∠Y
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b. When you use the SAS postulate, you are claiming you have shown two sides and the angle between them are congruent. The angle T is between sides TV and TU. The angle congruent to that, ∠W, is between sides WY and WX. Then the missing congruence that must be shown is ...
TU ≅ WX
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<h3>5.</h3>
The marked congruences are for two sides and a non-included angle. There is no SSA postulate for proving congruence. (In fact, there are two different possible triangles that have the given dimensions. This can be seen in the fact that the given angle is opposite the shortest of the given sides.)
"No, we cannot prove they are congruent because none of the five postulates or theorems can be used."
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<h3>6.</h3>
The first statement/reason is always the list of "given" statements.
1. ∠A≅∠D, AC≅DC . . . . given
2. . . . . vertical angles are congruent
3. . . . . ASA postulate
4. . . . . CPCTC
Answer:
A. 35.69%
B. 62.77%
Step-by-step explanation:
In this case, what we must do is calculate the probability supported with the data in the table.
Part A.
What is the probability that a randomly selected student is a 7th grader?
Here the total is all the students that would be the sum of all the grades, which are 325 students.
the number of 7th graders is 116, so the probability is:
116/325 = 0.3569
that is, 35.69%
Part B: What percentage of the students interviewed play Video games?
The total number of students is the same 325 and of those 204 play video games, therefore:
204/325 = 0.6277
that is, 62.77%
