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30.03.2020 •
Mathematics
How many solutions does the equation 4s + 8 = 3 + 5 + 4s have?
Two
None
One
Infinitely many
Question 3(Multiple Choice Worth 5 points)
(07.05 LC)
What is the value of x in the equation −x = 3 − 4x + 6?
−9
−3
3
9
Question 4(Multiple Choice Worth 5 points)
(07.06 LC)
Which statement is true about the equation fraction 3 over 4z − fraction 1 over 4z + 1 = fraction 2 over 4z + 1?
It has no solution.
It has one solution.
It has two solutions.
It has infinitely many solutions.
Question 5(Multiple Choice Worth 5 points)
(07.03 LC)
How many solutions does the equation 6z − 3z − 7 = −2 + 3 have?
Two
None
Infinitely many
One
Question 6(Multiple Choice Worth 5 points)
(07.06 MC)
What is the solution to the equation 1.2m − 0.8 = −2.0m?
m = 0.25
m = 0.4
m = 1
m = 4
Question 7(Multiple Choice Worth 5 points)
(07.03 MC)
What is the value of z in the equation 2(4z − 9 − 7) = 166 − 46?
19
21
26
34
Question 8(Multiple Choice Worth 5 points)
(07.01 LC)
What is the value of x in the equation −6 + x = −2?
8
4
−4
−8
Question 9(Multiple Choice Worth 5 points)
(07.02 LC)
How many solutions does the equation −5a + 5a + 9 = 8 have?
None
One
Two
Infinitely many
Question 10(Multiple Choice Worth 5 points)
(07.05 MC)
Which of these is a simplified form of the equation 7y + 7 = 9 + 2y + 2y?
3y = 2
7y = 6
11y = 16
4y = 16
Question 11(Multiple Choice Worth 5 points)
(07.03 LC)
The steps below show the incomplete solution to find the value of m for the equation 4m − 2m + 4 = −1 + 13:
Step 1: 4m − 2m + 4 = −1 + 13
Step 2: 4m − 2m + 4 = 12
Step 3: 2m + 4 = 12
Which of these is most likely the next step?
2m = 3
2m = 8
2m = 16
2m = 18
Question 12(Multiple Choice Worth 5 points)
(07.05 HC)
The work of a student to solve the equation 4(2x − 4) = 8 + 2x + 8 is shown below:
Step 1: 4(2x − 4) = 8 + 2x + 8
Step 2: 6x − 8 = 16 + 2x
Step 3: 6x − 2x = 16 + 8
Step 4: 4x = 24
Step 5: x = 6
In which step did the student first make an error and what is the correct step?
Step 2; 8x − 4 = 2(6 + x + 6)
Step 2; 8x − 16 = 16 + 2x
Step 3; 6x − 2x = 16 − 8
Step 3; 6x + 2x = 16 + 8
Solved
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Ответ:
present age of charlie is 45 years
present age of priya is 25 years
Step-by-step explanation:
Let start from five years ago
Let at that age of Priya was x years
given that
Charlie was twice older than Priya
age of Charlie = 2x
present age of charlie = age 5 years ago + 5 years = 2x + 5
present age of priya = age of priya 5 years ago + 5 years x + 5 = x + 5
age of charlie 3 years from now = present age of charlie + 3 years
age of charlie 3 years from now =2x + 5 + 3 = 2x + 8
age of priya 3 years from now = present age of priya + 3 years
age of priya 3 years from now =x + 5 + 3 = x + 8
Given that
in 3 years the sum of their ages will be 76
thus
sum of their ages in 3 years from now = x + 8 + 2x + 8 = 76
=> 3x + 16 = 76
=> 3x = 76-16 = 60
=> x = 60/3 = 20
Thus,
present age of charlie = 2x + 5 = 2*20 + 5 = 45 years
present age of priya = x + 5 = 20 + 5 = 25 years