Answer:
⇒Store i charges $4 for one-time membership fee and a fee of $1.50 per rented DVD
⇒Store ii charges $5 for one-time membership fee and a fee of $2 per rented DVD
⇒ Renting a DVD in shop {i} is cheaper than in shop {ii}
Step-by-step explanation:
In the first store, the equation for cost can be calculated as;
Find slope using the data set
Number of DVDs rented Cost {$}
1 5.50
2 7.0
3 8.50
m= Δy/Δx
m= 8.50 - 5.50 / 3-1
m= 3/2 = 1.5
Write the equation
m= Δy/Δx
1.5 = y-7/ x-2
1.5 { x-2 } = y-7
1.5 x - 3.0 = y-7
1.5x -3.0 + 7 = y
1.5 x + 4= y
C= 4 + 1.5 d ------where d is the number of DVDs rented
Comparing the two equations that model the cost of renting DVDs
i) C= 4 + 1.5d
ii) C=5 + 2d
⇒Store i charges $4 for one-time membership fee and a fee of $1.50 per rented DVD
⇒Store ii charges $5 for one-time membership fee and a fee of $2 per rented DVD
For example 2 DVDs are rented in both store, you can find the store which is cheaper as;
i) C= 4 + 1.5d = 4+ 1.5*2 = 4 + 3 = $7
ii) C=5 + 2d = 5 + 2 * 2 = 5 + 4 = $9
⇒ Renting a DVD in shop {i} is cheaper than in shop {ii}
Renting a DVD from store (2) is costlier than renting from store (2).
Linear equation: A linear equation represents the relation between two variables 'x' and 'y',
y = mx + b
Here, m = slope of the line
b = y-intercept
For store (1),
Let the linear equation representing the cost for renting the DVDs is,
C = md + b
Here, m = slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
And 'd' = Number of DVDs
Let the two points lying on the line are (1, 5.5) and (2, 7),
So the slope will be,
[tex]m=\frac{7-5.5}{2-1}=1.5[/tex]
Equation of the line will be → C = 1.5d + b
Since, this line passes through a third point (3, 8.5),
Substitute the values in the equation of the line,
8.5 = 1.5(3)+ b
8.5 - 4.5 = b
b = 4
Hence, equation of the line for the cost of renting a DVD from store (1) will be,
C = 1.5d + 4 ---------(1)
For store (2),
Equation of the line has been given as,
C = 2d + 5 ------(2)
Equation (1) represents a fixed cost of $4 and $1.5 for renting each DVD.
Equation (2) represents a fixed cost of $5 and $2 for renting each DVD.
If Donnie rents a DVD from both the stores,
Cost for renting DVDs at store (1) → C = 1.5(1) + 4 = $5.5
Cost for renting one DVD at store (2) → C = 2(1) + 5 = $7
Therefore, renting a DVD from store (2) is costlier than renting from store (2).
Learn more about the linear equations here,
https://brainly.com/question/4695400?referrer=searchResults
the price of an item yesterday was $110 today the price fell to $33 find the percentage decrease
Answer:
70% decrease
Step-by-step explanation:
33 = 30% of 110
HELP PLEASE SUPER EASY IM JUST WEIRD HAAALP!!
Answer:
he burns 6 calories
Step-by-step explanation:
Answer:
HAHAH NOT THE MAP TEST but here’s ur answer HAHAH
360
Step-by-step explanation:
540 divided by 3 = 180
180 x 2 = 360
What is the value of n?
–2n – 16 = 4n + 8
Answer:
(n = 12)
Step-by-step explanation:
-2n - 16 = 4n + 8
+4n +4n
2n - 16 = 8
+ 16 +16
2n = 24
2 2 = 12
(n = 12)
Mr. Chen drives 26 miles to work every day. He drives the same distance to get back home. How many miles does he drive during a 5-day work week
Answer:
260 miles
Step-by-step explanation:
Given that,
Total distance driven by Mr. Chen everyday = 26 miles
He drives the same distance to get back home.
It means total distance driven by Mr. Chen to go and come back = 2(26) = 52 miles
We need to find how many miles does he drive during a 5-day work week.
Total distance = 5×52
= 260 miles
Hence, he will drive 260 miles during a 5 day work week.
Simplify the expression by combining like terms.
15r - 7s + 2r + s
Answer:
17r - 6s
Step-by-step explanation:
A geometric sequence starts with 10, 5, . . . Explain how you would calculate the value of the 100th term.
Answer:
The 100th term will be;
10(0.5)^99
Step-by-step explanation:
Firstly, we need the common difference and the first term
The first term is 10
The common difference is 5/10 = 1/2
Now, the formula for the nth term of a geometric sequence is;
ar^n-1
So, for the nth term, we have;
ar^(100-1)
= ar^99
So we have
10(1/2)^99
True or False? -|7| = |-7|
Explain please.
Answer:
False
Step-by-step explanation:
Notice how the negative symbol is outside the first number and inside the first number. If the negative symbol is outside the absolute value, the number will remain negative. If the negative symbol is inside the absolute value, the number will turn to positive.
Best of Luck!
A bank loans a customer $65,000 for a period of 12 years. The simple interest rate of the loan is 8.5%. What is the amount of simple interest?
PLEASE YALL I NEED HELP WITH EVERYTHING!!
Answer:
I'm not entirely sure how to help-
Step-by-step explanation:
Answer:
what do you mean by everything? do you have any pictures of the questions?
Step-by-step explanation:
what is the slope of (-6, 10) and (0, -5)
Answer:
[tex]\frac{-15}{6}[/tex]
Step-by-step explanation:
[tex]\frac{-5-10}{0-(-6)}[/tex]
[tex]\frac{-15}{6}[/tex]
Which sets of ordered pairs show equivalent ratios?. Check all that apply. (1, 2), (2, 3), (4, 7) (2, 2), (4, 4), (6, 6) (3, 1), (4, 1), (5, 1) (4, 1), (8, 2), (12, 3) (2, 1), (4, 3), (5, 4)
Answer:
(2, 2) ; (4, 4) ; (6, 6)
(4, 1) ; (4, 1) ; (8, 2) ; (12, 3)
Step-by-step explanation:
(1, 2), (2, 3), (4, 7) (2, 2), (4, 4), (6, 6) (3, 1), (4, 1), (5, 1) (4, 1), (8, 2), (12, 3) (2, 1), (4, 3), (5, 4)
Evaluating the ratio of each pair :
(1, 2) = 1/2 = 0.5
(2,3) = 2/3 = 0.67
(4, 7) = 4/7 = 0.57
(2,2) = 2/2 = 1
(4, 4) = 4/4 = 1
(6, 6) = 6/6 = 1
(3, 1) = 3 /1 = 3
(4, 1) = 4 / 1= 4
(5,1) = 5 / 1= 5
(4, 1) = 4 / 1 = 4
(8, 2) = 8/2 = 4
(12,3) =12/3 = 4
(2, 1) = 2/1 = 2
(4,3) = 4 / 3 = 1.33
(5, 4) = 5 / 4 = 1.25
Pairs with equivalent ratios :
Ratio of 1;
(2, 2) ; (4, 4) ; (6, 6)
Ratio of 4:
(4, 1) ; (4, 1) ; (8, 2) ; (12, 3)
please help me please will give brainliest
Answer:
A right triangle is equal to 180 degrees so we would subtrat 90 and 42 to find the missing angle
90+42
=132
180-132
=48 degrees
Answer is A
needing help please...
Given:
Perimeter of a parallelogram = 64 cm
Length = 3 times larger than the width
To find:
The length of the parallelogram.
Solution:
We know that, the perimeter of the parallelogram is:
[tex]P=2(l+w)[/tex]
Where, l is length and w is width of the parallelogram.
We have, l = 3w and P=64.
So,
[tex]64=2(3w+w)[/tex]
[tex]64=2(4w)[/tex]
[tex]64=8w[/tex]
Divide both sides by 8.
[tex]8=w[/tex]
Now,
[tex]l=3w[/tex]
[tex]l=3(8)[/tex]
[tex]l=24[/tex]
Therefore, the length of the parallelogram is 24 cm.
A unicycle tire can travel 7.85 ft. in on revolution. What is the area of the unicycle tire? Round answer to the nearest tenth.
Answer:
The answer would be 0.06
Step-by-step explanation:
Answer:
4.9ft^2
Step-by-step explanation:
7.85 ft is the circumference of the tire (circle), so [tex]\pi[/tex]d = 7.85.
7.85/[tex]\pi\\[/tex] = 2.5, the diameter is 2.5, so the radius is 1.25.
[tex]\pi[/tex]r^2 is the formula for the area, so [tex]\pi[/tex]*1.25^2 = 1.5625[tex]\pi[/tex], which is 4.906, which rounded to the tenth is 4.9.
At a party there were four large submarine sandwiches, all the same size. During the party, 2/3 of the chicken sandwhich, 3/4 of the tuna sandwhich, 7/12 of the roast beast and 5/6 of the veggie sandwhich were eaten. Which sandwhich had the least amount left?
Answer:
The answer is the Veggie Sandwich
Step-by-step explanation:
Given that there are four large submarine Sandwiches in a party and all of them are of the same size.
Some parts of each of them were eaten during the party. We are to find the Sandwich that has the least amount left.
The fractions of the Chicken Sandwich(C), Tuna Sandwich(T), Roast beef Sandwich(R) and the Veggie Sandwich(V) that were eaten during the party are given by
Therefore, the fractions of the Sandwiches that left will be
Out of the four fractions, V' is the smallest, so the Veggie Sandwich has the least amount left.
A number cube is rolled twice. What is the probability of getting a 6 on the first roll,
then a number less than 5 on the second roll?
A. 5/36
B. 1/9
C. 2/3
D. 1/36
Answer:
b. 1/9
Step-by-step explanation:
1. 1/6 is the probability of rolling 6
2. 4/6 is the probability of rolling less than 5
3. Multiply them: [tex]\frac{1}{6} x\frac{2}{3}[/tex]
4. Answer: 1/9
The probability of getting a 6 on the first roll, then a number less than 5 on the second roll should be option b.
Calculation of the probability:since
1/6 should be considered as the probability of rolling 6
And, 4/6 is the probability of rolling less than 5
So [tex]= 1\div 6 \times 2\div 3[/tex]
= 1/9
Hence, the option b is correct.
learn more about probability here: https://brainly.com/question/23119770
the tables represent two linear functions in a system.
which is the solution to this system?
A. {-13/3, -25}
B. {-14/3, -54}
C. (-13, -50)
D. (-14, -54)
Please rewrite using the distributive property and GCF 81-30
Nancy can do a typing job in 8 hours, when Carole helps her, they can do the job in 5 hours. How many hours would it take Carole to do it alone
Answer: [tex]\frac{40}{3}\ \text{hours}[/tex]
Step-by-step explanation:
Nancy can do typing job in 8 hours
i.e. in 1-hour nancy can [tex]\frac{1}{8}[/tex] part of work
Together they can do that work in 5 hours
or in 1 hour [tex]\frac{1}{5}[/tex] part of work is done
suppose Carole takes x hours for the work
so, in 1 hour [tex]\frac{1}{x}[/tex] part is done
If both work together for 1 hour then we can write
[tex]\frac{1}{8}+\frac{1}{x}=\frac{1}{5}[/tex]
[tex]\frac{1}{x}=\frac{1}{5}-\frac{1}{8}[/tex]
[tex]x=\frac{40}{3}\ \text{hours}[/tex]
If Cam gets 1000$ dollars every 2 weeks how much money will he make in a year?
Answer:
24,000
Step-by-step explanation:
That is 2000 every month. 2000 × 12 = 24000
Answer:
Than you for your points:)))))))
The appropriate measure of center to describe the data distribution is the:
Mean
Median
Answer:
median
Step-by-step explanation:
HELP ME OUT HERE PLEASEEEEE
Answer:
a. 29
b. 0.25
c. 75
d. 64
Step-by-step explanation:
You just basically plug in the number for x and solve.
Can someone please help me with this.Please help me I really need help
Answer:
102, 118, 134, 150Step-by-step explanation:
As per given, the relationship is:
p(m) = 16m + 86To fill in the table we get:
m = 1 ⇒ p(1) = 16*1 + 86 = 102m = 2 ⇒ p(2) = 16*2 + 86 = 118m = 3 ⇒ p(3) = 16*3 + 86 = 134m = 4 ⇒ p(4) = 16*4 + 86 = 150What is the slope of the line below?
Answer:
-1/2
Step-by-step explanation:
how to find a percentage
Answer:
you just multiply it by 100, thats all
for example, to change 4 to percentage, multiply it by 100
400%
i hope this helps
Stay safe from the virus
Step-by-step explanation:
complete the missing value in the solution to the equation -3x+7y=5x+2y
Can you create electricity with magnetism?
Answer:
Yes. That's how a magneto on a small lawn mower creates the spark for the spark plug. A magnet passes a coil and energizes the coil to produce electricity.
Step-by-step explanation:
If a football field is 100 yards long and 54 yard wide and what is the area in perimeter of that football filed
Answer:
5400
Step-by-step explanation:
you would measure the length and width. Multiply the length by the width to get the area, and add twice the length to twice the width to get the perimeter
what would the equation be to this x-y table ?
y=-x+10. the y intercept is 10 so there is a +10 and the slope is -1
solve -5 3/4 - 3 1+/2
