Liam is setting up folding chairs for a meeting. If he arranges the chairs in 9 rows of the same length, he has 3 chairs left over. If he arranges the chairs in 7 rows of that same length, he has 19 left over. How many chairs does Liam have?
Answers
The x represents the amount of chairs in each row while the number attached to the exponent shows how many rows he was able to set up with the extra chairs
9x + 3 = 7x + 19
-7x -3 -7x -3
-----------------------
2x=16 x=8
2 2
Plug 8 back into the equation and you see that it equals 75 on both sides. So that means Liam has 75 chairs to set up
Related Questions
The sum of two fractions is 8/9. the difference is 2/9. What are the two fractions?
Of the 180 students at Martin Middle School, of the students take French. Of that group, also chose to join the French club.How many students both take French and are in the French club?
Write 35.2 in a word form
Write p5/p3 using a positive exponent
Answers
Answer:
36
Step-by-step explanation:
Carson had x number of apples to start with.
He gave 1/3 to Nathan. Now Carson has (2/3)x apples left.
He gave 1/2 of what was left to Nikki. Now Carson has (1/2)(2/3)x = (2/6)x = (1/3)x apples.
On the way home, he dropped 1/4, so he has 3/4 of the last amount he had, and the number is 9.
(3/4) * (1/3)x = 9
3/12 x = 9
1/4 x = 9
x = 36
Answer: He picked 36 apples.
Check:
Start with 36 apples.
Give 1/3 to Nathan. Now Carson has 24 apples.
Give 1/2 to Nikki. Now Carson has 12 apples.
Drop 1/4. 1/4 of 12 is 3. 12 - 3 = 9.
Hew only had 9 apples left, so 36 is correct.
Answer:
36 apples
Step-by-step explanation
Step 1 = he dropped 1/4 and was left with 9
Finding 1/3 one third of 9 = 3.
Then 9 +3 = 12
Step 2 He parted with 1/2 and was left with 12
12x2=24
Step 3 He parted with 1/3 and was left with 24
= 12+ 12 + 12 = 36 Where 1/3 of 36 = 24
Answer = 36
B) 3 x 106
C) 6 x 105
D) 6 x 106
Answers
9 x 10^-4: Since the exponent of the scientific notation is negative −4, move the decimal point 4 places to the left. Answer: 0.0009
3 x 10^-10: Since the exponent of the scientific notation is negative −10, move the decimal point 10 places to the left. Answer: 0.0000000003
Subtract: C) 6 x 105
5/6 or 3/8
Answers
= (5*4) / (6*4)
= 20/24
3/8
= (3*3) / (8*3)
= 9/24
Because 20/24 > 9/24, 5/6 is greater than 3/8~
Answers
Answer:
Part 1)
Part 2) The graph in the attached figure
Step-by-step explanation:
Part 1)
we know that
The linear equation in slope intercept form is equal to
where
m is the slope
b is the y-intercept
we have
substitute in the linear equation
solve for b
substitute
Part 2) Draw the equation
we know that
To graph a line we need two points
we have the y-intercept (0,4) and (2,-4)
Plot the points, connect them and join to draw the line
see the attached figure
Which of the following points is a vertex for the image produced by a dilation about the origin with a scale factor of 1/3?
A.
(3, 3)
B.
(10, 9)
C.
(3, 15)
D.
(3, 10)
Answers
(0,0) ⇒ 0 x 1/3 = 0 ; 0 x 1/3 = 0 ⇒ (0,0)
(27,0) ⇒ 27 x 1/3 = 9 ; 0 x 1/3 = 0 ⇒ (9,0)
(36,30) ⇒36 x 1/3 = 12 ; 30 x 1/3 = 10 ⇒ (12,10)
(9,30) ⇒ 9 x 1/3 = 3 ; 30 x 1/3 = 10 ⇒ (3,10)
Answer is choice D. (3,10)