Step-by-step explanation:
Given line:
y = 2/5x - 11Compare this with the slope-intercept form:
y = mx + bThe slope is:
m = 2/5Y-intercept is:
b = - 11As a point on the line it has coordinates (0, - 11)
Answer:
Hope this helps!
Step-by-step explanation:
The slope is:
m = 2/5
Y-intercept is:
b = - 11
The coordinates on the line are: (0, - 11)
8) A school community had planned to reduce the number of grade 9 students per class room by constructing additional class rooms. However, they constructed 4 less rooms than they planned. As the result, the number of students per class 10 more than they planned. If there are 1200 grade nine students in the school, determine the current number of class rooms and the number of students per class.
Step-by-step explanation:
Let "c" be the original number of classrooms.
The 1200/c was the original number of students per classroom.
----
Equation:
1200/(c-4) = (1200/c)+10
Multiply thru by c(c-4)
---
1200c = 1200(c-4)+10c(c-4)
---
1200c = 1200c-4800 + 10c^2-40c
----
10c^2-40c-4800 = 0
c^2-4c-480 = 0
Factor:
(c-24)(c+20) = 0
---
Positive solution:
c = 24 (# of classrooms originaly planned)
A man earns $9.99 for each of the first 36 hours he works in one week and $14.99 in overtime pay for each
additional hour he works in the same week. How much money will he make if he works 46 hours in one week?
Answer:
459.54
Step-by-step explanation:
46(9.99)
=459.54
Answer:
$159.89
Step-by-step explanation:
36 hours + 10 hours = 46
14.99 * 10 = 149.9
(36 hours) $9.99 + (overtime pay) $149.9 = (Total money) $159.89
$9.99 + $149.9 = $159.89
$159.89
Tracey paid $150 for an item that was originally priced at $510. What percent of the original price did Tracey pay?
Answer:
29.4118%
Step-by-step explanation
510 * x = 150
x = .2941176
multiply by 100 to get percent
29.4118
Which graph represents y = –2x?
Answer:
B, the second one down on the first page
Step-by-step explanation:
hope this helps! :D
brainliest is immensely appreciated!! <3
Yesterday, there were 100 problems assigned for math homework. Pablo got 60 problems correct and 40 problems incorrect. What percentage did Pablo get correct?
Which term of the AP 21, 42, 63, 84, ..... is 210 ?
Answer:
The 10th term
Step-by-step explanation:
As we see these are all incrementing by 21 (and divisible by 21), we can divide all the terms by 21 and get 1, 2, 3, ...., 10
Therefore 210 is the 10th term.
Answer:
The 10th term is 210
Step-by-step explanation:
Let's revise our tables of 21.
21 x 1 = 2121 x 2 = 4221 x 3 = 6321 x 4 = 8421 x 5 = 10521 x 6 = 12621 x 7 = 14721 x 8 = 16821 x 9 = 18921 x 10 = 210Therefore, the 10th term will give 210.
Hoped this helped.
Solve each equation for x.
a(x-b)+bx+c=a+b
Answer:
[tex]x=\frac{ab+a+b-c}{a+b}[/tex]
Step-by-step explanation:
a(x−b)+bx+c=a+b
Step 1: Add ab to both sides.
−ab+ax+bx+c+ab=a+b+ab
ax+bx+c=ab+a+b
Step 2: Add -c to both sides.
ax+bx+c+−c=ab+a+b+−c
ax+bx=ab+a+b−c
Step 3: Factor out variable x.
x(a+b)=ab+a+b−c
Step 4: Divide both sides by a+b.
[tex]\frac{x(a+b)}{a+b} =\frac{ab+a+b-c}{a+b}[/tex]
[tex]x=\frac{ab+a+b-c}{a+b}[/tex]
Hope this helped! :)
Find the sum of the first 48 terms of the following series, to the nearest integer. 7,11,15
Answer:
7, 11, 15, 19, 23, 27, 31... and keep going until you have an answer.
Step-by-step explanation:
Just keep adding 4 until you have all the 48 terms you need.
Does this table represent a linear or nonlinear function? x= 1, 2, 5 & y= 4, 7, 16
Answer:
linear
Step-by-step explanation:
The function is linear if the ratio of changes in y to changes in x is the same for any set of (x, y) pairs.
first two pairs: (y2 -y1)/(x2 -x1) = (7 -4)/(2 -1) = 3/1 = 3
second two pairs: (y3 -y2)/(x3 -x2) = (16 -7)/(5 -2) = 9/3 = 3
The slopes between points are the same for any pair of points, so they all lie on the same line. The function is linear.
squared root of -100 = ____ + ____^i
Step-by-step explanation:
thats way of multiplication not 56
Answer:
√−100 = 0 + 10 i
Step-by-step explanation:
Can anyone please help me answer this Math question ? As soon as possible !
The We-Make-It factory in the United States pays its 250 workers an average of $21 per hour, including benefits. The average number of work hours per employee in a year is 1,924. The owners of the factory are considering relocating overseas to a country where they can pay workers an average of $6 per hour, including benefits, to achieve the same production levels. Assuming that the company would hire the same number of workers for the same number of hours in a new location, how much could We-Make-It save in wages alone in the first year by moving to the proposed overseas location?
Assuming that this would not be destroying the lives of many in a community by locating overseas. The factory would save $2,886,000 in payroll wages during the first year of relocation.
Step-by-step explanation:
$15 saved in wages/working hour × 250 workers × 1924 hours per year/worker = $2,886,000
A construction company needs to remove 2 5/6 tons of dirt from a construction site. They can remove 3/10 tons of dirt each hour. What is the total amount of hours it will take to remove the dirt?
Answer:
Here is a generic way to set up this type of algebra problem.
d = total amount of dirt at the site (tons)
r = rate or removal (tons/hr)
t = time it takes to remove all of the dirt (hr)
d = rt
The total amount of dirt equals the removal rate times hours spent removing all the dirt.
Since you want to solve for t, divide both sides by r
t = d/r
A. y = 2x
B. y = x ÷ 2
C. y = x – 1
D. y = x + 1
Answer:
D) y = x + 1
Step-by-step explanation:
D is the answer because the slope is 1 and the y-intercept is 1
Graph the function
f(x) = 3/5x - 5
Step-by-step explanation:
okay, plot a point at (0,-5) then count 3 units up and 5 units to the right and put a point there
connect the points with a straight line
add arrows to each end of the line :)
what is rational exponent of -(49)1/2?
[tex] {7}^{2( \frac{1}{2}) } \\ [/tex]
Cancel the common factor of 2.
[tex] {7}^{1} [/tex]
Evaluate the exponent[tex] \:= 7[/tex]
Evan is organizing textbooks on his bookshelf. He has an English textbook, a biology textbook, a physics textbook, and a writing textbook. How many different ways can he line the textbooks up on his bookshelf?
Answer:
there is many ways but he could put them side to side or top and bottom
Step-by-step explanation:
Need help fast worth 20 points
Select the correct answer.
Which set of absolute values is compared correctly
OA. 1-10] < |-5| < |17| < 151
OB. 1-5| > |-10| > |-12| > |17||
OC. |10| > |-15] > [-5| > 12||
OD. |-101 < [12] < |-15| < |17||
Answer:
i think its b.
Step-by-step explanation:
correct me if im wrong. and it was worth 10 points instead of 20.
help pls and thank you
Answer:
7x3=21 3x7=21
Answer:
two correct answers are:
1 x 21= 21
3 x 7= 21
What is the value of x?
Answer:
x = 10.
Step-by-step explanation:
(5x-1) + (8x+5) + (4x+6) = 180 (the 3 angles in a triangle sum to 180 degrees).
5x + 8x+ 4x - 1 + 5 +6 = 180
17x + 10 = 180
17x = 170
x = 10.
Michael has 13 dollars in his wallet. His father gives him his allowance for the week. Now Michael has 18 dollars. How many dollars did Michael's father give him?
Answer: 5 Dollars
Step-by-step explanation: You only have to substract 13 of 18, the answer of that is 5.
Find the amount that results from a $900 investment invested at 7% interest,
compounded continuously, after 4 years.
Rachel has $10.00. She wants to buy a book that costs $6.79. Will she have enough
money left over to buy a pen for $3.50? Explain.
Answer:
No
Step-by-step explanation:
Because 10 - 6.79 = 3.21
Rachel will not have enough money left over to buy a pen for cost $3.50.
What is Subtraction?Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.
The process of subtraction can also be termed as finding difference. It is one of the basic operation in mathematics.
A number 'b' subtracted from 'a' is denoted as a - b, read as a minus b.
Total money Rachel has = $10.00
Cost of book = $6.79
If she buy the book,
Remaining money = $10.00 - $6.79
= $3.21
Cost of pen = $3.50, which is greater than the remaining money. So Rachel can't buy the pen.
Hence Rachel will not have enough money to buy a pen for $3.50 because she only has a balance of $3.21.
To learn more about Subtraction, click on the link given below :
https://brainly.com/question/2346316
#SPJ2
The question is in the picture
Answer:
8
Step-by-step explanation:
Solve for x.
х/12=3/2
Factorise fully each of the following:
(a)
2ab + 3cd - cb - bad
-
-
Answer:
urs 6 2ab ytdguhdd bad wuy
Step-by-step explanation:
blank
The points K(5,-5)(5,−5), L(9,-5)(9,−5), and M(7,3)(7,3) form a triangle. Plot the points then click the "Graph Triangle" button.
Find the solution of the system of equations.
3x – 3y = 18
3x – 8y = -2
Answer:
x=10, y=4
Step-by-step explanation:
3x-3y=18
(-)3x-(-)8y=-(-)2 -3x+8y=2 add to first equation to eliminate x
5y=20
y=4
substitute y with 4
3x-3(4)=18
3x=30
x=10
x=10,y=4
(2,170), (5,365) slope
Answer:
To find the slope given two points, use the slope formula. The slope formula is Y2-Y1/X2-X1. Substitute in the given points and solve.
365-170/5-2
195/3
65
The slope of the two points is 65.
Hope this helps! :)
Pls look at the picture for question.
Answer:
Only option A is correct
Step-by-step explanation:
Positive numbers are always greater than negative numbers no matter the quantities. Also, the greater the negative number is, the less it becomes.
Hope this helps :D
PLEASE HELP ILL GIVE5 STARS HELP ASAP
Answer:
H+2
Step-by-step explanation:
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