A school group has $140 to spend. Write and solve an inequality that represents the cost to rent the main hall, where h represents the number of hours the group can rent the room.
Answers
Answer:
a. 15h + 40 ≤ 140
b. h ≤ 6.6
Note: The question is missing a table. The table is shown in the attachment below.
Step-by-step explanation:
a. The school group has $140 to spend, and so can only spend an amount less than or equal to $140 when renting the main hall.
The cost of renting the main includes an hourly rate of $15 and a set-up fee of $40.
Let h represent the number of hours the group can rent the hall.
Cost of renting the main hall, C is given by:
15h + 40 ≤ 140
b. Solution of the inequality:
15h + 40 ≤ 140
15h ≤ 140 - 40
15h ≤ 100
h ≤ 100/15
h ≤ 6.6
Therefore, the main hall can only be rented for a maximum of 6.6 hours or less
Related Questions
HELP ME PLEASEEEEE
Kim has $250 to spend on a rental car for her trip. The rental car company charges a fee of $130 plus $0.10 per mile. Kim used the inequality to calculate the maximum number of miles, m, she could drive the rental car.
Which inequality expresses the maximum number of miles Kim can drive the car?
m < 3,800
m < 120
m < 380
m < 1,200
Answers
Answer:
m < 1,200
Step-by-step explanation:
250 - 130 = 120
120 / 0.10 = 1,200
Equation: 130+0.10m=250
Answer: 120
y - 3 = -2 ( x + 5 ) in standard form
Answers
Answer:
2x + y = -7
Step-by-step explanation:
Standard form is Ax + By = C
A represents the coefficient with x
B represents the coefficient with y
C represents the constants
1 - Rewrite to make it easier to work it out
y - 3 = -2 ( x + 5 )
2 - Distribute
y - 3 = -2x - 10
3 - Get the variables on one side and the constants on the other
y - 3 = -2x - 10
+ 2x + 2x
2x + y - 3 = -10
+ 3 + 3
2x + y = -7
Hope this helps,
Section 1 - Question 1 Consider these six expressions. Expression A Expression B Expression C (−5)(−0.4)(1.8) (-45)(-19)(-112) −1(5+17) Expression D Expression E Expression F (−5)(−0.4)(1.8)(−3.25) (-49)(-34)(-12)(-12) −1(3.5−7) How many expressions will have a product that is positive? A 2 B 3 C 4 D 5 q-q help me this is confusing
Answers
Answer:
B 3
Step-by-step explanation:
Given
[tex]Expression\ A: (-5)(-0.4)(1.8)[/tex]
[tex]Expression\ B: (-45)(-19)(-112)[/tex]
[tex]Expression\ C: -1(5+17)[/tex]
[tex]Expression\ D: (-5)(-0.4)(1.8)(-3.25)[/tex]
[tex]Expression\ E: (-49)(-34)(-12)(-12)[/tex]
[tex]Expression\ F: -1(3.5-7)[/tex]
Required
How many of them will have a positive result
Taking the expressions one after the other:
[tex]Expression\ A: (-5)(-0.4)(1.8)[/tex]
Convert brackets to multiplication
[tex]Expression\ A: -5*-0.4*1.8[/tex]
[tex]Expression\ A: 3.6[/tex]
This has a positive product
[tex]Expression\ B: (-45)(-19)(-112)[/tex]
Convert brackets to multiplication
[tex]Expression\ B: -45*-19*-112[/tex]
[tex]Expression\ B: -95760[/tex]
This has a negative product
[tex]Expression\ C: -1(5+17)[/tex]
Solve the expression in bracket
[tex]Expression\ C: -1 *22[/tex]
[tex]Expression\ C: -22[/tex]
This has a negative product
[tex]Expression\ D: (-5)(-0.4)(1.8)(-3.25)[/tex]
Convert brackets to multiplication
[tex]Expression\ D: -5*-0.4*1.8*-3.25[/tex]
[tex]Expression\ D: -11.7[/tex]
This has a negative product
[tex]Expression\ E: (-49)(-34)(-12)(-12)[/tex]
Convert brackets to multiplication
[tex]Expression\ E: -49*-34*-12*-12[/tex]
[tex]Expression\ E: 239904[/tex]
This has a positive product
[tex]Expression\ F: -1(3.5-7)[/tex]
Solve the expression in bracket
[tex]Expression\ F: -1*-3.5[/tex]
[tex]Expression\ F: 3.5[/tex]
This has a positive product
Expressions A, E and F have positive products. This implies that, there are 3 expressions with a positive product.
Please help me I need help please?
Answers
PLEASE HELP I AM BEHIND!!!!
If the solution to an equation is x = −5, what could the original equation be?
A. x + 3 = 8
B. x − 3 = 8
C. x + 8 = 3
C. x − 8 = 3
(sorry if this is easy for you, I'm bad at math.)
Answers
Answer:
The answer is c definitely
Answer:
C. x + 8 = 3
Step-by-step explanation:
x + 8 = 3
x + 8 - 8 = 3 - 8 ( so do the same thing you do on both the left and right side )
x = -5
So C is correct but you can always say 3 - 8 to figure out that the answer in c is the right one.
HOPE THIS HELPED
A recipe used 1/2 cup of sour cream for every 1/4 teaspoon of salt. What is the unit rate of teaspoons of salt per cup of sour cream?
Answers
Answer:
1/2 teaspoons of salt per cup of sour cream
Step-by-step explanation:
multiply 1/2 and 1/4 by 2 to get 1 and 1/2. Since the question is teaspoons of salt per cup of sour cream, flip the numbers to get 1/2 teaspoons of salt per 1 cup of sour cream.
What value of x makes this equation true?
x/3 - 3 = x/9 + 3
Answers
Answer:
x = 27
Step-by-step explanation:
hope this helps :)
Figure ABCD is transformed to figure A prime B prime C prime D prime, as shown:
A coordinate grid is shown from negative 5 to 0 to 5 on both x -and y-axes. A polygon ABCD has A at ordered pair 1, 3, B at ordered pair 3, 4, C at ordered pair 2, 1, D at ordered pair 1, 1. A polygon A prime B prime C prime D prime has A prime at ordered pair negative 3, 3, B prime at ordered pair negative 5, 4, C prime at ordered pair negative 4, 1, D prime at ordered pair negative 3, 1.
Which of the following sequences of transformations is used to obtain figure A prime B prime C prime D prime from figure ABCD?
A. Reflection about the x-axis followed by a translation to the right by 2 units
B. Reflection about the y-axis followed by a translation to the left by 2 units
C. Counterclockwise rotation by 90 degrees about the origin followed by a translation to the right by 2 units
D. Counterclockwise rotation by 90 degrees about the origin followed by a translation to the left by 2 units
Answers
Answer:
A
Step-by-step explanation:
I took the test.
2. Addison bought 9 pumpkin pies for $27. How much will she pay for 11 pumpkin pies? Use numbers and words to explain your answer.
Answers
Answer:
$33
Step-by-step explanation:
Since 9 pies is 27 dollars that means you have to divide 27 by 9 to find out what 1 pie costs
1 pie ends cause costing $3
now you multiply the cost for 1 pie and 11 so it comes out to be $33
Ksosksos
An angle measures 90º more than the measure of its supplementary angle. What is the measure of each angle?
Answers
Answer:
theyre both 90 degrees because supplementary angles always add up to 180
PLEASE HELP WITH THIS, ITS FOR A TESTTT
Answers
Hopefully this helps!
Answer:
The answer is C
Step-by-step explanation:
Distribute first then combine like terms
what is the quotient of 0.12/24.12
Answers
Answer:
0.00497512437
Step-by-step explanation:
but make sure to round it. it should be 0.005 rounded to the nearest thousandth place but make sure if im correct im not too sure.
PLZ HELP ANSWER IMEDIATLY!!!!!!!! 55 POINTS A line goes through the points (7, 3) and (–1, 5). Write the equation of the line in point-slope form. Show your work for full credit. (How did you go from those two points to having the equation in point-slope form?)
Answers
Answer:not sure
Step-by-step explanation:
PLEASE HELP ;)
Who did it right?
Find the slope of the line perpendicular to 2x+3y=8
Answers
Answer:
Marissa.
Step-by-step explanation:
To find perpendicular slope you basically take the slope of the given line and reverse whatever sign it had previously. (If it was negative, it would become positive. If it was positive it would become negative.)
By doing -A/B it make the previous slope negative.
Brandon only flipped the fraction which would just result in the slope being slightly steeper, or in this case, less steep than the previous line, rather than making it perpendicular.
Hope this helps! Stay safe and if you have any questions feel free to ask!
Please help, I will mark brainliest!
Answers
Put the smol 7 next to it !!
what is the absolute value of │38│
Answers
Answer:
38
Step-by-step explanation:
if there are bars around it its automatically positive even if it was -38 the absolute would still be 38.
Answer: 38
Step-by-step explanation: The absolute value of a number
is that number's distance from zero on a number line.
Since 38 is 38 units from zero, the absolute value of 38 is just 38.
The perimeter of a 6-sided figure is 67.74 meters. Two of the sides have the same length. The sum of the other 4 side lengths is 36.4 meters. About how long is each of the same-side lengths?
Answers
Each of the same-side lengths is 15.67.
What is perimeter?It is the sum of length of the sides used to made the given figure.
We have been given that the perimeter of a 6-sided figure is 67.74 meters. Two of the sides have the same length. And the sum of the other 4 side lengths is 36.4 meters.
Let the same side be a.
The perimeter of the figure = 6 x side
The perimeter of the figure = 2a + 36.4
67.74 = 2a + 36.4
2a = 67.74 - 36.4
2a = 31.34
a =15.67
Therefore, each of the same-side lengths is 15.67.
Learn more about perimeter here:
https://brainly.com/question/10466285
#SPJ2
which number is bigger 1.59 or 1.955
Answers
Answer:
1.955 is bigger
Step-by-step explanation:
1.955>1.59
Answer:
1.955
Step-by-step explanation:
This is because the number after the decimal in 1.955 is 9, which is bigger than the 5 shown in 1.59
I need help just say the answer that’s all I need
Answers
Step-by-step explanation:
sorry I m not able to understand the question thank you for extra points
Sarah uses long division to convert a rational number x/y to its decimal form. Which of the following statement cannot be true?
Answers
A partial proof was constructed given that MNOP is a parallelogram.
Which statement should fill in the blank in the last line of the proof?
A. angle M is supplementary to angle O.
B. angle N is supplementary to angle P.
C. angle M is congruent to angle P
D. angle N is congruent to angle P.
Answers
Answer:
B
Step-by-step explanation:
B. angle N is supplementary to angle P
Answer:
B
Step-by-step explanation:
On a coordinate plane, 2 dashed straight lines are shown. The first line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything to the right of the line is shaded. The second line has a negative slope and goes through (negative 2, 0) and (2, negative 4). Everything to the right of the line is shaded. Which linear inequality is graphed with y > –x – 2 to create the given solution set? y > x + 1 y x – 1 y < x + 1
Answers
Answer:
The linear equality y>x+1 is the right answer.
Answer:
The linear equality y>x+1 is the right answer.
Step-by-step explanation:
solve for x: 2x- 2 =3(x- 2)
Answers
Answer:
x=4
Step-by-step explanation:
2x- 2 =3(x- 2)
2x- 2 =3x- 6
+2. +2
2x. =3x - 4
-3x. -3x
-1x. = -4
Divided - 1 both side
x=4
6. Talayah bought two journals. The second
journal cost $12 more than the price of
the first journal. If she spent $30 on both,
how much was the second journal?
A. $12
B. $16
C. $20
D. $28
Answers
Answer:
C. $20
Step-by-step explanation:
Lets make our equation. "x" will be our first journal, and "4/5x + 12" will be our second journal. So our equation is: x + 4/5x + 12 = 30
Subtract 12 from each side: x + 4/5x = 18
Combine like terms : 1 4/5 x = 18
Divide each side by 1 4/5 : x = 10
Plug in x for the journals-
1 = 10
2 = 4/5 of 10 = 8 + 12 = $20
I hope this helped, please mark Brainliest, thank you!
Find the area of the shaded region. Express your answer in terms of π.
Answers
Answer:
335.115
Step-by-step explanation:
First you find the area of the circles to do that you do pi times radius squared
For the top square do 3.14(pi)time 3²=28.26
For the middle square do 3.14 times 4.5²=63.585
For the bottom square do 3.14 times 6²=113.04
Now find the area of the entire thing do 18×12+9+6+3=18×30=540
Finally do 540-the area of the squares 28.26-63.585-113.04= 335.115
So the shaded region is 335.115
Hope this helps and have a great day!
Will mark branilest!!
Answers
Answer:
B?
Step-by-step explanation:
(This is math. Is that question supposed to be math? I'm not sure)
a computer backs up 324 megabytes of data in 5 minutes. WRITE AN EQUATION that represents the number of megabytes, m, that can be backed up in (t) minutes.
Answers
Answer:
64.8 x t = m
Step-by-step explanation:
324 / 5 = 64.8 :64.8 megabytes are produced every 1 minute
64.8 x t = m
Two forces act on a body so the resultant is a force of 68.3 pounds. The angles between the resultant and the forces measure 46 degrees and 38 degrees.
Answers
Answer:
A
Step-by-step explanation:
Use the equation given for sin
Write the vocabulary word for this definition:
The number of units or spaces away a number is from zero
Answers
Answer:
i am not sure but may be ...absolute value
Help me pls what is the perpendicular line
Answers
Answer:
-2
Step-by-step explanation: