Answer:
8 movies or video games.
Step-by-step explanation:
Let x be the number of movies or video games on rent.
We have been given that Omar has a choice of belonging to a video club with a monthly fee of $12 and $1-a-day rental fee for any movie or game. We can represent the charges for x movies or video games for a member of club as: [tex]x+12[/tex].
Omar can be a non-member and pay $2.50-a-day rental fee for any movie or game. We can represent the charges of a non-member for x movies or video games as: [tex]2.5x[/tex].
To find the number of movies for one day for the cost to be equal we will equate our both expressions.
[tex]x+12=2.5x[/tex]
[tex]x+12-x=2.5x-x[/tex]
[tex]12=1.5x[/tex]
[tex]x=\frac{12}{1.5}[/tex]
[tex]x=8[/tex]
Therefore, Omar must rent 8 movies or video games for one day for the cost to be equal between membership and non-membership.
By renting 8 movies or video games charges for membership will be: 8+12=20.
By renting 8 movies or video games charges for a non-membership be: 2.5*8=20.
Hence charges of renting 8 movies or video games are same for both membership or non-membership.
Omar needs to rent 8 movies or video games in one month for the costs of a membership and nonmembership to be the same. The membership includes a monthly fee of $12, and rentals cost $1 per day. Non-membership rentals cost $2.50 per day.
Omar wants to determine how many movies or video games he must rent for the cost of membership and non-membership to be equal. To find this, we will set up an equation comparing the two costs.
Membership Plan:
Monthly fee: $12Rental fee: $1 per movie/game per dayNon-membership Plan:
Rental fee: $2.50 per movie/game per day
Let's denote the number of movies or games rented by x.
For the membership plan, the total cost is: $12 + $1x
For the non-membership plan, the total cost is:$2.50x
We set the two costs equal to find x: $12 + $1x = $2.50x
Subtract $1x from both sides: $12 = $1.50x
Divide both sides by $1.50: x = 8
Omar must rent 8 movies or video games in one month for the costs of membership and non-membership to be equal.
Write an equivalent expression to 2x + 3 + 5x + 6 by combining like terms then use x=3 to show expressions are equivalent
Answer:
7x + 9
Yes they are equivalent
Step-by-step explanation:
The first expression given to us is
2x + 3 + 5x + 6
Let us call it equation (i)
Now we have to find equivalent expression to it
the given equation is 2x + 3 + 5x +6
similar terms are terms involving x and not involving x
so solving the equation gives
2x + 5x + 3 +6
= 7x + 9
Now we have two equations one is
2x + 3 +5x + 6 ...............(i)
Other is
7x + 9 ..............(ii)
To check they are equivalent or not
Put x = 3 in equation (i)
2(3)+3+5(3)+6= 6 + 3 + 15 + 6
=30
Now put x=3 in second equation
7(3)+9=21 + 9
=30
As the answer of both the equations are 30 so they are equivalent
To write an equivalent expression to 2x + 3 + 5x + 6 by combining like terms, the expression can be simplified to 7x + 9. Substituting x with 3 in both expressions shows that they have the same value, which is 30.
Explanation:To write an equivalent expression to 2x + 3 + 5x + 6 by combining like terms, we add the coefficients of the like terms. In this case, the like terms are the terms with the same variable, which is x. So, 2x + 3 + 5x + 6 simplifies to 7x + 9. To show that this expression is equivalent to the original expression, we can substitute x with 3. So, when we replace x with 3, both expressions 2x + 3 + 5x + 6 and 7x + 9 result in the same value, which is 30.
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What is the value of Y who knows please help me
Answer:
y =65
Step-by-step explanation:
We will call the unknown angle in the triangle x
Angle x plus 130 form a straight line
x+130 = 180
Subtract 130 from each side
x+130-130 = 180-130
x = 50
The three angles in the triangle add together to make 180 degrees
x+y+y = 180
We know angle x = 50
50 + 2y = 180
Subtract 50 from each side
50+2y-50 = 180-50
2y = 130
Divide each side by 2
2y/2 = 130/2
y = 65
A couch weighs approximately 100 pounds. If 40,000 couches are sent to furniture stores, what is the total weight in pounds of the couches?
A) 400,000
B) 4,000,000
C) 40,000,000
D) 400,000,000
23)
Which property explains how we get the equation shown in step 2?
Given: -5(x -4) - 20 = -15
Step 1: -5x + 20 -20 = -15 (Distributive)
Step 2: -5x = -15 (__________________)
Step 3: x = 3 (Multiplicative Inverse)
A) Associative
B) Commutative
C) Additive Inverse
D) Multiplicative Identity
24)
Simplify.
7x + 3(x - 2) - 4x + 8
A) 6x + 2
B) 6x + 14
C) 6x - 2
D) 14x + 2
25)
According to the distributive property, a(5 + b) =
A) 5a + b
B) 5a + ab
C) a(b + 5)
D) 5(a + b)
Answer:
Step-by-step explanation:
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a sample of 144 was taken from a population with a standard deviation of 36 inches. In this case the sample mean will be within how many inches of the population mean 99.7% of thew time?
Answer:
9 inches
Step-by-step explanation:
The population is within 6 standard deviations of the mean with a confidence of 99.7 percent, 3 above and 3 below
The standard deviation of the sample mean is equal to the population standard deviation divided by the square root of the sample size
population standard deviation = 36
sample size = 144
standard deviation of the sample mean = 36/ sqrt(144)
=36/12
=3
The margin of error is the number of standard deviations above the mean * the standard deviations
margin of error = 3 * 3
= 9 inches
Answer:
sonk
Step-by-step explanation:
honey p
use the given information to prove that BC=DE
2. CD = CD , Reflexive Prop.
3. BC = DE, Subtraction Prop.
Lawrence's parents pay him a base allowance of $20 per week and $3.55 per hour for extra chores he completes. Mrs. Johnson pays Lawrence $7.15 per hour to lifeguard at the city pool. Which equation models Lawrence's total weekly income? A. I = 7.15x ? 3.55y ? 20 c. I = (3.55 + 7.15)x + 20 b. I = (3.55 + 20)x + 7.15y d. I = 3.55x + 7.15y + 20
Answer:
7.15x + 3.55y + 20 = weekly income
Step-by-step explanation:
7.15x + 3.55y + 20 = weekly income
What is the measure of Angle 1 and 2? Enter your answer as a number.
The measure of angles can be in degrees, minutes of arc, and seconds of arc, with the example given (9:00 a.m. clock hands) resulting in a 90-degree angle.
Explanation:The measure of angles is often given in degrees, minutes of arc, and seconds of arc.
These units subdivide a degree into finer measurements, where one degree equals 60 minutes and one minute equals 60 seconds.
One example of using these measurements is in Astronomy, where astronomers measure the angular separation of stars in the sky.
Angles are crucial to understanding the positions and movements of celestial bodies.
Returning to the practice problem provided: 'What is the angle in degrees between the hour hand and the minute hand of a clock showing 9:00 a.m.?', we can calculate this using the understanding that each hour on the clock represents 30 degrees (360 degrees / 12 hours).
At 9:00 a.m., the hour hand is on the 9 and the minute hand is on the 12, creating a 90-degree angle between them.
Elvie can type 4,200 words in 30 minutes givr the ratio of the time in minutes to the number of words
Answer:
30:4,200
Step-by-step explanation:
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Juan runs an experiment. He flips a coin 20 times. It landed on Heads 13 times and Tails 7 times. Find the experimental probability.
Compare your experimental probability to the theoretical probability of flipping a coin and it landing on heads.
Which of the following statements is true?
Question 5 options:
The theoretical probability is greater than the experimental probability.
The experimental probability is greater than the theoretical probability.
The experimental probability is equal to the theoretical probability.
Can not determine which probability is greater.
C it the answer because since heads hit 14 times it haves a higher percent of hitting heads again.
2,008 kilograms of potatoes were packed into sacks weighing 8 kilograms each how many sacks were packed
Answer:
251
Step-by-step explanation:
2008/8
Answer:
16064
Step-by-step explanation:
2,008 x 8= 16064
The union of sets P = {1, 2, 3, 4, 5, 6} Q = {4, 5, 6, 7, 8, 9} is given by which of the following?
{1, 2, 3, 4, 5, 6, 7, 8, 9}
{1, 2, 3, 4, 4, 5, 5, 6, 6, 7, 8, 9}
ø
{4, 5, 6}
Answer:
The first one, because the x values are not repeated in a data set.
Algebra II Please Help
A. Green Grapes
B. Red Grapes
C. Red and Green Grapes cost the same
what is the perimeter of triangle with side lengths of 29, 15, and 4xy?
Answer:
P =44 + 4xy
Step-by-step explanation:
To find the perimeter of a triangle, add up the three sides
P = 29+15+4xy
P =44 + 4xy
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What is the period of the function f(x) shown in the graph?
Answer:
The period is [tex]\pi[/tex].
Step-by-step explanation:
The answer is determined by finding the length of 1 cycle of the function. Trig functions sine and cosine have a wavy form. One starts and ends int he middle - sine. The other starts above and stops above- cosine. Regardless of the function, the period will be the same because the period asks "how fast does this function complete 1 wave?"
If cosine we start at one of the top points, trace the graph till we reach the same y-value again. The period is the time or difference in x-values. For instance if I started at the x-value [tex]\frac{\pi }{2}[/tex] and ended at [tex]\frac{3\pi }{2}[/tex] then I'd subtract them.
[tex]\frac{3\pi }{2}[/tex]-[tex]\frac{\pi }{2}[/tex]=[tex]\frac{2\pi }{2}[/tex]=[tex]\pi[/tex]
The period is [tex]\pi[/tex].
A six sided number cube is rolled 12 times. An even number is rolled 7 times. What is the experimental probability that an even number is rolled?
Answer:
The experimental probability is 7/12 or 58.3%
Step-by-step explanation:
In order to find the experimental probability, we just look at the amount of times it happened in our test. The fact that the actual probability is 50% does not matter when looking at experimental numbers.
given the height, h, and the volume V of a certain cylinder, alex uses the formula r=√v/πh to compute its radius, r, to be 10 meters. a second cylinder has the same volume as the first cylinder, but is 25 times taller. what is the radius of the second cylinder?
a). 2/5 meter
b). 2 meters
c). 50 meters
d). 250 meters
Elaine has a $350 gift card to Target. Elaine spent $334.50 on a sound bar at Target. If the sales tax is 8%, what was her final bill? Does she have enough money on the gift card to pay for the sound bar?
Answer:
1) Her final bill: 334,5+ the tax
the tax = 334,5*8/100= 26,76 $
Her final bill = 334,5+ 26,76= 361,26 $
2) The gift card only has 350$ and the bill is 361,26
therefore she doesn't have enough money to pay for the sound bar
Step-by-step explanation:
Help with these questions please!
Answer:
1. 16
2. -4
Step-by-step explanation:
First factor the expression
lim x→1 (x^3 + 5x^2 + 3x-9)/(x-1)
lim x→1 (x-1) (x+3)^2/(x-1)
Canceling the x-1 in the top and bottom
lim x→1 (x+3)^2
Let x=1
lim x→1 (1+3)^2 = 4^2 = 16
2. lim x→0 (x^2 -6x+8) /(x-2)
First factor the expression
lim x→0 (x-4) (x-2) /(x-2)
Canceling the x-2 in the top and bottom
lim x→0 (x-4)
Let x=0
lim x→0 (0-4) = -4
Filling in the table
x -.1 -.01 -.001 .001 .01 .1
f(x) -4.1 -4.01 -4.001 -3.999 -3.99 -3.9
I know this isn't helpful, but I REALLY need help on this question...
Given: f(x) = x^2 + 7x + 10. From the Rational Root Theorem, we know p=10 and q=1. List all potential roots using the ratio p/q.
Question 11(Multiple Choice Worth 5 points) Perform the requested operation or operations. f(x) = 4x + 6, g(x) = 5x2 Find (f + g)(x).
Answer:
(f + g)(x) = 5x^2 + 4x + 6
Step-by-step explanation:
The given functions are f(x) = 4x + 6 and g(x) = 5x^2
(f + g)(x) = f(x) + g(x)
= 4x + 6 + 5x^2
= 5x^2 + 4x + 6
Thank you.
What is the domain of f/g, given f(x)=x+8 and g(x)=x-3?
Answer: Correct Option is "C"
( - ∞ , 3) U (3, ∞ )
Step-by-step explanation:
The function f/g is defined as
( x + 8) / (x -3)
Domain of the function is the set of values which the independent variable can assume.
Clearly in the above function x cannot assume the value 3, otherwise the function would become undefined.
So domain of the function is
( - ∞ , 3) U (3, ∞ )
Hope it helps.
Thank you.
What are the coordinates of the midpoint of the segment whose endpoints are A (-1, -2) and B (6, 12)
x-coordinate:
y-coordinate:
Answer:
Mid point = [tex](\frac{5}{2} ,5)[/tex]
Step-by-step explanation:
We are given the coordinates of the end points of a line segment AB and we are to find the coordinates of its mid point.
The coordinates of the end points are: A (-1, -2) and B (6, 12).
We know the formula of the mid point:
Mid point = [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
So putting in the given values to find the mid point of line segment AB:
Mid point = [tex](\frac{-1+6}{2} ,\frac{-2+12}{2} )[/tex] = [tex](\frac{5}{2} ,5)[/tex]
A student jog the same number of laps each week.9 students jogged 63 laps.How many laps will 13 students jog
URGENT. Please help me!! 30 points :))
Answer:
<T = 83
Step-by-step explanation:
In a parallelogram <M = < P and < N = <T (opposite angles are congruent)
We also know that <M + <N = 180 ( consecutive angles are supplementary)
<M + <N = 180
6x+10 + 5x+10.5 = 180
Combine like terms
11x+20.5 = 180
Subtract 20.5 from each side
11x +20.5-20.5 = 180-20.5
11x = 159.5
Divide each side by 11
11x/11 = 159.5/11
x=14.5
We can find <N
<N = 5x+10.5
= 5(14.5)+105
=72.5 +10.5
= 83
<N = <T = 83
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Answer:
y = 3x + C
y = mx + 5
y = 3x + 5
Step-by-step explanation:
A. The standard form for lines with slope = 3 is
y = 3x + C where C is the y-intercept and can be any number
B. The standard form for lines with y-intercept = 5
y = mx + 5 where m is the slope and can be any number
C. The only line with slope = 3 and y-intercept =5
y = 3x + 5
There is only one line because both m and C are given.
Answer:
Step-by-step explanation:
a is y=3x+c; c is the y-intercept
b is y=mx+5; m is the slope
c is y=3x+5 as it is the only line with both slope = 3 and y-intercept =5
In quadrilateral LMNO, LO ∥ MN. What additional information would be sufficient, along with the given, to conclude that LMNO is a parallelogram? Check all that apply. ML ∥ NO ML ⊥ LO LO ≅ MN ML ≅ LO MN ⊥ NO
Answer:
In quadrilateral LMNO, LO ∥ MN.
ML ∥ NO
LO ≅ MN
Answer:
1 & 3 is correct on edg.
Please help ASAP!!!
triangle a'b'c' is a dilation of triangle abc. which is the correct description of the dilation?
Answer: A
Step-by-step explanation:
[tex]\overline{AB}[/tex] has a length of 6
[tex]\overline{A'B'}[/tex] has a length of 6 + 12 = 18, which is 3 times the length of [tex]\overline{AB}[/tex]
B = B' so this will be the center point
⇒ center B and a scale factor of 3
Answer:
Option A is the answer.
Step-by-step explanation:
Triangle A'B'C' is a dilation of triangle ABC.
We can apply the formula to get the scale factor as
Scale factor = [tex]\frac{\text{One side of triangle A'B'C'}}{\text{Corresponding side of triangle ABC}}[/tex]
= [tex]\frac{A'B'}{AB}[/tex]
= [tex]\frac{AB'+AA'}{AB}[/tex]
= [tex]\frac{6+12}{6}[/tex]
= [tex]\frac{18}{6}[/tex]
= 3
Therefore, ΔABC has been dilated with a scale factor of 3 about the point B as the center.
Option A is the answer.
FInd the slope of a line
Answer:
First I'm not exactly sure what you're asking but the equation for slope is:
Y2-Y1/X2-X1=M
Step-by-step explanation:
M is your slope
X1 and Y1 represent your first point
X2 and Y2 represent your second point
To translate you are finding the rate of change (slope) between two points
Answer: Slope = ∆y/∆x = y2-y1/x2-x1
Step-by-step explanation:
The slope of a line which is also known as the gradient can be gotten by taking the ratio of the change in coordinate of y-axis to the x-axis of the line.
Change in y axis = y2-y1
Where y2 and y1 are final length and initial length respectively on the y axis
Change in x axis = x2-x1
Where x2 and x1 are final length and initial length respectively on the x axis.
The slope of the line therefore gives;
Slope = ∆y/∆x = y2-y1/x2-x1
What is the length of GH? ______cm
If y varies directly with x and y = 2 when x = 10, then what is the value of y when x = 40? A. 8 B. 45 C. 200 D. 320
Answer:
A
Step-by-step explanation:
given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
to find k use the given condition y = 2 when x = 10
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex]
y = [tex]\frac{1}{5}[/tex] x ← equation of variation
when x = 40, then
y = [tex]\frac{1}{5}[/tex] × 40 = 8 → A
The value of y when x = 40 with the same proportion will be 8 thus option (A) is correct.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given,
If y varies directly with x.
y ∝ x
y = kx
k = y/x
Thus, k will be the same for both conditions.
2/10 = y/40
1/5 = y/40
40/5 = y
8 = y
Hence "The value of y when x = 40 with the same proportion will be 8 ".
For more information about ratios and proportions,
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