Answer:
4 games
Step-by-step explanation:
Let the number of games rented from both be represented by: g
For Games - R - Us
Games-R-Us offers a video game rental program with a monthly fee of $10 plus $2 per game rental.
$10 + $2 × g
= 10 + 2g
For Games2Go
Games2Go charges a $2 monthly fee plus $4 per game.
$2 + $4 × g
= 2 + 4g
Hence,
Games-R-Us = Games2Go
10 + 2g = 2 + 4g
Collect like terms
10 - 2 = 4g - 2g
8 = 2g
g = 8/2
g = 4 games
Therefore, number of games you would have to rent from each company to have your total cost be the same amount is 4 games
Simplify the following surd expressions
a) 7/3 - 2/3 + V3 - 3V3
Answer:
[tex]\frac{7}{3}-\frac{2}{3}+\sqrt{3}-3\sqrt{3}=\frac{5}{3}-2\sqrt{3}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{7}{3}\:-\:\frac{2}{3}\:+\:v^3\:-\:3v^3[/tex]
solving the expression
[tex]\frac{7}{3}\:-\:\frac{2}{3}\:+\:\sqrt{3}-3\sqrt{3}[/tex]
combine the fractions i.e [tex]\frac{7}{3}-\frac{2}{3}=\frac{5}{3}[/tex]
[tex]\frac{7}{3}\:-\:\frac{2}{3}\:+\:\sqrt{3}-3\sqrt{3}=\frac{5}{3}+\sqrt{3}-3\sqrt{3}[/tex]
add similar elements i.e [tex]\sqrt{3}-3\sqrt{3}=-2\sqrt{3}[/tex]
[tex]=\frac{5}{3}-2\sqrt{3}[/tex]
Thus,
[tex]\frac{7}{3}-\frac{2}{3}+\sqrt{3}-3\sqrt{3}=\frac{5}{3}-2\sqrt{3}[/tex]
The company in the example on page 301 decides to increase the capacity of its large bottles from 32 fl oz to 40 fl oz. It plans to keep the ratio of capacity to cost the same. How much should the company charge for a bottle that holds 40 fl oz
Answer:
Cost of new bottle = 1.25a
Step-by-step explanation:
Given:
Volume of old bottle = 32 fl oz
Volume of new bottle = 40 fl oz
Computation:
Assume price ratio of old bottle = a
So,
Price ratio of new bottle [Compare by capacity] = [40/32]a
Cost of new bottle = 1.25a
Total price: $128,500
Tax or tip rate: 5.5%
Answer:
Step-by-step explanation:
5.5% of 128,500
(128500*5.5)/100=7067.50
Meghan reduced the size of a rectangle to a height of 2 inches. What is the new width if it was originally 24 inches wide and 12 inches tall?
Answer:
Step-by-step explanation:
2/12 = 1/6
24 * 1/6 = 4
or
12/24 = 2/x
12 x = 48
x = 4
or the original width was twice the length
twice 2 is 4
franklin is thinking of two numbers. the sum of the two numbers is 40.the first number x, is 11 less than twice the second number, y. which system of equations can be used to find the two numbers? A) xy=40, x=2y-11 B) x+y=40, x=11-2y C) x-y=40, x=11-y D)x+y=40, x=2y-11
Answer: d) x+y =40
x=2y -11
Step-by-step explanation:
(4,5);y=3/2x+3 write an equation of the line that passes through the given point that is parallel to the given line
Answer:
2x-3/y-5/37=0
Step-by-step explanation:
here, given equation of line is
y=3/2x+3
or,y(2x+3)=3
or,2x+3=3/y
or,2x-3/y+3=0...eqn(i)
equation of any line parallel to line (i) is
2x-3/y+k=0.. eqn(ii)
since, the line passes through (4,5)[replacing x=4 and y=5 in eqn(ii), we get]
2*4-3/5+k=0
or,8-3/5+k=0
or,40-3/5+k=0
or,k=-5/37
substituting the value of k=-5/37 in eqn(ii)
2x-3/y-5/37=0 is the required equation of line.
who else is bummed that the exam has 50 questions on edge
Answer: ME
Step-by-step explanation:
ASAP PLZ HELP ME WILL MARK AS BRAINLIST IF RIGHT ANSWER
Answer:
28
Step-by-step explanation:
AB
4(7)=28
Answer:
3/4 BC or 3/2 CD
Step-by-step explanation:
AB = 3
BC = 4
4 x 3/4 = 3
CD = 2
2 x 3/2 = 3
Mr. Roy was creating bundles for his classes. He had 20 pencils, 80 pens and 55 markers.
He wanted each bundle to contain the same number of pencils, pens and markers.
a) What is the largest number of bundles he could create without any left over?
Answer:
The largest number of bundles he could create without any left over is 5.
Each bundle to contain 4 pencils, 16 pens and 11 markers
Step-by-step explanation:
Pencils = 20
Pens = 80
Markers = 55
a) What is the largest number of bundles he could create without any left over?
Find the highest common multiple of 20, 80 and 55
20 = 1, 2, 4, 5, 10, 20
80 = 1, 2, 4, 5, 8, 10, 16, 20......
55 = 1, 5, 11, 55
The highest common multiple of 20, 80 and 50 is 5
Pencils = 20 / 5
= 4
Pens = 80 / 5
= 16
Markers = 55 / 5
= 11
The largest number of bundles he could create without any left over is 5.
Each bundle to contain 4 pencils, 16 pens and 11 markers
How many hours do they have to work before they go to the movies
Cell phone Plan A costs $70 per month and comes with a free $500 phone. Cell phone Plan B costs $50 per month but does not come with a phone. If you buy the $500 phone and choose Plan B, how many months is it until your cost is the same as Plan A's?
I got two different answers last time. One said 25 and the other said 11. Are either of them correct?
Answer:
25 months
Step-by-step explanation:
Plan A : $70 per month
Plan B : $50 per month + $500 as a one time cost.
So for A $70 a month would take 8 months to be at least $500
And for B it in those 8 months it would cost you $900
But we have to keep going up until they are equal
25*70 = 1750
(25*50) = 1250+500=1750
So yes 25 months is correct
The amount of time it takes a water pump to empty a tank varies directly as the capacity of the tank. If it takes a water pump 2.5 hours to empty a tank containing 60,000 gallons of water, how long does it take the same pump to empty a tank containing 108,000 gallons of water?
Answer: 4.5 hours
Step-by-step explanation: i used cross multiplication.
2.5/x=60,000/108,000
60,000x=270,000
divide 270,000 by 60,000
x=4.5
An equation is formed when two equal expressions. The time the same pump will take to empty a tank containing 108,000 gallons of water is 4.5 hours.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that the amount of time it takes a water pump to empty a tank varies directly with the capacity of the tank. Therefore, the relationship can be written as,
V ∝ T
V = kT
Substituting the volume and time in the equation,
60,000 gallons = 2.5 hours × k
Solving the equation for k,
k = 60,000 gallons / 2.5 hours
k = 24,000 gallons per hour
Now, the equation for the relationship can be written as,
V = 24,000 gallons per hour × T
Now, the time the same pump will take to empty a tank containing 108,000 gallons of water is,
V = 24,000 gallons per hour × T
108,000 gallons = 24,000 gallons per hour × T
108,000 gallons / 24,000 gallons per hour = T
T = 4.5 hours
Hence, the time the same pump will take to empty a tank containing 108,000 gallons of water is 4.5 hours.
Learn more about Equation:
https://brainly.com/question/2263981
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Sue bought a bunch of snacks that each cost $2.50. Let y represent the total cost and x represent the number of snacks she bought. Pick which equation represents the proportional relationship between the total cost and the number of snacks she bought.
a. 2.50(y)=x
b. 2.50+y=x
c. 2.50(x)=y
d. 2.50+x=y
Answer=__________
Please I need this now!!!!!!!!!!!!!
Date : 12/11/2020
Answer:
the answer is letter c 2.50(x)=y
What is the slope of the line that passes through the points -16,0 and -8,2?
Answer:
1/4
Step-by-step explanation:
0 - 2 = -2
-16 - -8 = -8
-2/-8 = 1/4
Three baby penguins and their father were sitting on an iceberg
0.5
0.50, point, 5 meters above the surface of the water. The father dove down
4.7
4.74, point, 7 meters from the iceberg into the water to catch dinner for his kids.
Answer:
-4.2
Step-by-step explanation:
0.5 - 4.7= -4.2
Answer:
The answer for khan Is -4.2
Step-by-step explanation:
(Its a negative not positive)
PLEASE HELP- 56 DIVIDED BY 1.6
Answer:
35
Step-by-step explanation:
What is Value of x in the equation 3x+9/2 = x-4/3
Answer: Exact Form:
x= −35/12
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
A French class has a total of 26 students. The number of females is 6 less than the number of males. How many males and how many females are in the class?
Answer:
Step-by-step explain:
total-females=males
26-6=20
there are 20 males in the class.
I got subtraction because it says less females.
The Statue of Liberty, Grand Canyon, and Empire State Building are all examples of __________ good.
A.
private
B.
public
C.
industry
D.
consumer
Please select the best answer from the choices provided
A
B
C
D
Answer:
its c im pretty sure
Step-by-step explanation:
i got it right on my quiz
Which of these is an example of driving at an average rate of 20 miles per hour?
A. driving 10 miles in 2 hours.
B. driving 15 miles in 5 hours.
C. driving 25 miles in 5 hours.
D. driving 40 miles in 2 hours.
Answer:
D
Step-by-step explanation:
40/2=20
Answer:
give the other guy the thing
Step-by-step explanation:
Write the simplest polynomial function with the given roots 1/2,5, and -2
Answer:
x³-7x²/2-39x/2 + 10Step-by-step explanation:
Given 1/2,5, and -2 as roots of the polynomial, the function in terms of x is expressed as;
P(x) = (x - 1/2)(x - 5)(x+2)
Expand;
(x - 1/2)(x - 5) = x²-5x -x/2 + 5/2
(x - 1/2)(x - 5) = x²-11x/2 + 5/2
P(x) = (x²-11x/2 + 5/2)(x+2) = x³+2x²-11x²/2-22x+5x/2 + 10
P(x) = x³-7x²/2-39x/2 + 10
Hence the required polynomial is x³-7x²/2-39x/2 + 10
PLEASE HELP!! BRAINILIESTTTT
Answer:
The element is Boron(B)
Step-by-step explanation:
This is because on the periodic table, it shows that Boron has 5 protons and 5 electrons
Joey mows his neighbors lawns and earns $31.50 in 7 hours. How much does he make in 17 hours?
Answer:The blouse was 28 dollars.
Step-by-step explanation:
A tank of diesel fuel contains 210 gallons. Every week, 5 gallons is used. A tank of gasoline contains 430 gallons. Every week, 16 gallons is used. After how many weeks will they have the same amount of fuel? How much fuel will each tank hold on that day?
Answer:
After 20 weeks both tanks have the same amount of fuel.
Diesel tank= 110 gallons
Gasoline tank= 110 gallons
Step-by-step explanation:
Giving the following information:
Diesel tank:
Total capacity= 210 gallons
Unitary daily use= 5 gallons
Gasoline tank:
Total capacity= 430 gallons
Unitary daily use= 16 gallons
First, we structure the total fuel loss formula for each tank:
Diesel tank= 210 - 5*x
Gasoline tank= 430 - 16*x
x= number of weeks
Now, we equal both formulas and isolate x:
210 - 5x = 430 - 16x
11x = 220
x= 20
After 20 weeks both tanks have the same amount of fuel.
Prove:
Diesel tank= 210 - 5*20= 110 gallons
Gasoline tank= 430 - 16*20= 110 gallons
Can you help me with this plzzzzzzz
Answer:
E: x = 13
F: x = 1.5 or 3/2
Step-by-step explanation:
This is for E:
x + 2/3 = 5
All you do is first multiply 5 * 3
and you will get 15
x + 2 = 15
Then you subtract from 15
15 - 2 = 13
So x = 13
This is for F:
10(x - 1) = 5
So all you do is distribute the 100 with x -1
10 * x = 100x
10 * -1 = 100
10x - 10 = 5
Then you add 10 to 15 because the number is -10
5 + 10 = 15
10x = 15
Now you divide by 10 on both sides
10x/10 = 15/10
10x/10 = x
15/10 = 3/2
So the answer for F is 3/2 or 1.5
Ryan goes the mall with his friends after school. At the mall he purchases four pairs of basketball shorts and a pair of sneakers for $100 if he spends a total of $200 how much money did he spend on each pair of basketball shorts?
Answer:
$25.00
Step-by-step explanation:
200-100=100
100/4=25
What type of decimal is this fraction: LaTeX: \frac{11}{20}
terminating
neither
both
repeating
11/20
Divide 11 by 20 to find the decimal value.
11/20 = 0.55
The decimal only contains two numbers, so it is a terminating fraction.
please help me i need help asap
Answer:
-6
Step-by-step explanation:
Add the positive numbers first which is nine then add a negative like -8 and you get then add -7 which is -6
What is 7/8 + 8/45 =
Step-by-step explanation:
1.05277777778
hope it helps!
Answer:
1 19/360
Step-by-step explanation:
What we know:
The addends in this equation are 7/8 and 8/45.
First, find the LCM of 8 and 45. Since 8 and 45 don't have any common factors other than 1, just multiply the two numbers.
8 * 45 = 360
After that, find the equivalent fraction for both addends
7/8 * 45/45 = 315/360
8/45 * 8/8 = 64/360
Then, add the two new fractions together, and simplify if needed.
315/360 + 64/360 = 379/360 = 1 19/360
O A. -2
O B. -1
C. 2
D. 1
Answer:
c is the right answer for the problem
Answer:
A.) -2
Step-by-step explanation:
Y = -6
X = 3
---------------------
-6/3 = -2
Therefor your slope to this graph is -2
Multiply then write fraction in simplest form
Answer: 1 7/30
Step-by-step explanation: