Using linear equations, A rental car company charges prices based on the number of days you rent the car will charge $185 if you rent the car for 7 days.
What is a linear equation?A linear equation is an algebraic equation of the form y=mx + b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) component are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Let us consider the number of days = x
The equation when number of days(x) <= 4,
⇒ $50 + $25x1 = y1
If the car is rented for more than 4 days, (x>4)
⇒ $45 + $20x2 = y2
Now, we are to calculate the rent for 7 days,
which equals,
y2 = $45 + $20x2
for x2 = 7,
y2 = $45 + $20 × 7
⇒ 45 + 140
⇒ $185
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plz help me I need it
b = 92 degrees (choice B)
c = 92 degrees (choice D)
d = 92 degrees (choice F)
================================================
Explanation:
Angles a and b are supplementary because they form a straight angle when combined. The two angles add to 180
a+b = 180
88+b = 180 ... plug in a = 88
b = 180-88 ... subtract 88 from both sides
b = 92
------------
Angles b and c are congruent because they are alternate interior angles. Alternate interior angles are congruent when dealing with parallel lines.
Since the diagonal entrance ramps are parallel, this means the corresponding angles c and d are congruent.
Since b = 92, this means c = 92 and d = 92 also.
given the equation y=5x-1 does the point b(-5.2,-27) belong to this line?
The point (-5.2, -27) satisfies the equation of the line. Then the point belongs to the line.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The equation is given below.
y = 5x - 1
If the point satisfies the equation, then the point belongs to that equation.
Substitute x = - 5.2 and y = - 27, then we have
- 27 = 5 · (-5.2) - 1
- 27 = - 26 - 1
- 27 = - 27
Thus, the point (-5.2, -27) satisfies the equation of the line. Then the point belongs to the line.
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if p(a) = 0.38, p(b) = 0.83, and p(a ∩ b) = 0.57; then p(a ∪ b) =
The value of the union of sets A and B is, P(A ∪ B) is 0.64.
The union of two sets means the total elements in both the sets combined.
Given: sets P(A) = 0.38, P(B) = 0.83, and intersection P(A ∩ B) = 0.57
We need to find the union of P(A ∪ B).
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
Let us substitute the given values in the formula.
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
=0.38+0.83-0.57
=1.21-0.57
=0.64
Therefore, the value of union of sets P(A ∪ B) is 0.64.
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-3x + 12x how do I simplify that?
-3x+12x
Divide it all by three
-x+4x
Answer:
The answer is 9x
Step-by-step explanation:
-3x + 12x
12x - 3x = 9x
answer this with complete solution thanks
Answer:
balls
Step-by-step explanation:
Using The exterior angle Theorem solve for the identified angle
Answer:
107
Step-by-step explanation:
180-(65+42) = SQR = 73
180-73 = 107
Evaluate the following ∫acos(5r)(r-b) dr
the evaluated integral is:
∫acos(5r)(r-b) dr = (r - b)/5 (asin(5r) + C) + (1/25) (acos(5r) + D) - (1/5) C,
where C and D are constants of integration.
To evaluate the integral ∫acos(5r)(r-b) dr, we can use integration by parts. Integration by parts is based on the formula:
∫u dv = uv - ∫v du,
where u and v are functions of the variable of integration.
Let's assign u = (r - b) and dv = acos(5r) dr. Then, we can find du and v as follows:
du = d(r - b) = dr,
v = ∫acos(5r) dr.
To evaluate v, we can use a substitution. Let's assign t = 5r, which implies dr = (1/5) dt. Substituting these values, we have:
v = ∫acos(t) (1/5) dt = (1/5) ∫acos(t) dt.
The integral ∫acos(t) dt can be evaluated using the formula for the integral of the cosine function:
∫acos(t) dt = asin(t) + C,
where C is the constant of integration.
Now, substituting back for t = 5r, we have:
v = (1/5) (asin(5r) + C).
Applying the integration by parts formula, we have:
∫acos(5r)(r-b) dr = uv - ∫v du
= (r - b) (1/5) (asin(5r) + C) - ∫(1/5) (asin(5r) + C) dr
= (r - b)/5 (asin(5r) + C) - (1/5) ∫asin(5r) dr - (1/5) C.
The integral ∫asin(5r) dr can be evaluated in a similar manner as above, resulting in:
∫asin(5r) dr = -(1/5) (acos(5r) + D),
where D is the constant of integration.
Substituting this back into the previous expression, we have:
∫acos(5r)(r-b) dr = (r - b)/5 (asin(5r) + C) - (1/5) (-(1/5) (acos(5r) + D)) - (1/5) C
= (r - b)/5 (asin(5r) + C) + (1/25) (acos(5r) + D) - (1/5) C.
So, the evaluated integral is:
∫acos(5r)(r-b) dr = (r - b)/5 (asin(5r) + C) + (1/25) (acos(5r) + D) - (1/5) C,
where C and D are constants of integration.
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Please someone please help me.
Answer: B
Step-by-step explanation:
5 What is the range of
y = -x?- 2x + 3?
A X54
B X > -4
Cy 54
Dy >-4
What is the equation for the line of best fit for statistical chart?(In math)
Answer:
ŷ = bX + a
Step-by-step explanation:
A shoe box has a length of 14.5 inches, a width of 7 inches, and a height of 5 inches. What is the surface area, in square inches, of the shoe box?
Answer:418 and heres why
Step-by-step explanation:
2(14.5 times 7 = 101.5 times 2 = 203
next
2(14.5 times 5 =72.5 times 2=145
then last
2(7 times 5= 35 times 2=70 add them all together then get 418
hope this help (:
The surface area of the shoe box is,
⇒ SA = 418 square inches
We have to given that,
A shoe box has a length of 14.5 inches, a width of 7 inches, and a height of 5 inches.
Since, We know that,
Surface area of cuboid is,
SA = 2 (lw + lh + hw)
Here, we have;
Length = 14,5
Width = 7 inches
Height = 5 inches
Hence, We get;
The surface area of the shoe box is,
SA = 2 (14.5 x 7 + 14.5 x 5 + 5 x 7)
SA = 2 (101.5 + 72.5 + 35)
SA = 2 (209)
SA = 418 square inches
Thus, The surface area of the shoe box is,
⇒ SA = 418 square inches
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3. Cups are sold in packages of 8. Napkins are sold in packages of 12.
a. What is the fewest number of packages of cups and the fewest numb
packages of napkins that can be purchased so there will be the same
cups as napkins?
b. How many sets of cups and napkins will there be?
Answer:
A. The fewest number of packages of cups and napkins that can be purchased so that they will be the same is 3 packages of cups and 2 packages of napkins.
B. I'm not sure what this part is asking, I hope someone else comes in and helps.
Step-by-step explanation:
Part A Explanation:
3 packages of cups gives you 24 cups total
2 packages of napkins gives you 24 napkins total
Which expressions are equivalent to 4/7x + 4?
A. 1 + 3/7x +3
B. 5/7x - 1/7x + 4
C. 3/7x + 4 1/7x
D. 1 + 4/7x + 3
E. 1 + x/7 + 3
F. 3/7x + 4 4/7x - 1
Answer:
4+28x
_____
7x
i think...
Which relation is not a function?
A
{(10,-5), (8,-4),(4, -2),(2,0)}
B
{(1, -2), (1,-4), (1.0), (1,8)
C С
{(-3,9),(-2,4),(-1.1), (1,1)
D
{(3,10),(5, -5), (6,6), (9,11)}
Which of the following can be a solution to the inequality below?
2x > 6.
Pls send help
Answer:
x>3
Step-by-step explanation:
you divide both sides by 2 then you get three. The sign remains the same.
Step 1 of 5: Determine the missing value on the vertical axis represented by [?]. Per Capita Personal Income by State for 2004 52000 9[21 20000 State Tables Keypad Answer How to enter your answer
The complete question should be: What is the per capita personal income for a given state in 2004, represented by the value [?] on the vertical axis of the state table?
The missing value on the vertical axis represented by [?] must be $21,200.
In order to determine the missing value on the vertical axis represented by [?], we need to consider the per capita personal income for each of the states listed in the table. The states are listed in order from highest income to lowest income. The highest-earning state is listed first with a per capita personal income of $52,000. The next-highest-earning state has a per capita personal income of $21,200. Therefore, the missing value on the vertical axis represented by [?] must be $21,200.
To enter this answer, first identify the numerical keypad on the calculator. Then, enter the numerical value of $21,200 (21200) using the keypad. Finally, press the “enter” or “equals” key to submit the answer. This will cause the missing value on the vertical axis to be displayed on the calculator screen.
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In a class of 25 pupils, 8 cannot swim. What percentage of the class can swim?
Answer:
12 i think im not exactly shore
Step-by-step explanation:
Write an
explicit formula for An, the nth term of the sequence 20, 30, 40, ....
Answer:
\(A_{n}\) = 10n + 10
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence
d = 30 - 20 = 40 - 30 = 10
This indicates the sequence is arithmetic with explicit formula
\(A_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 20 and d = 10, thus
\(A_{n}\) = 10 + 10(n - 1) = 10 + 10n - 10 = 10n + 10
Help me please and explain for me
Answer:
1.575 × 10^6 gallons
Step-by-step explanation:
1.25 × 10^6 = 1.25 × 1,000,000 = 1,250,000 gals.
Dolphin tank = 325,000 gals.
total vol. = 1,250,000 + 325,000 = 1,575,000 gals.
scientific notation = 1.575 × 10^6 gallons
How do you dilate a triangle by 2?
Step-by-step explanation:
To dilate the figure by a factor of 2, I will multiply the x and y-value of each point by 2. I plotted all the new points to find the new triangle. To dilate the figure by a factor of 2, I will multiply the x-value of each point by 2.
The cot for renting a car a day i $0. 50 per mile, plu a $15 flat fee. Writ an equation to repreent the relationhip. Let x be the number of mile driven and y be the total cot by day
The equation representing the given relationship is
y = 0.50x + 15
Given, The cost for renting a car a day is $0.50 per mile, plus a $15 flat fee.
we have to find an equation to represent the given relationship.
Let the number of miles driven be, x
and the total cost be, y
total cost = cost per mile × miles driven + flat fee
Total cost = 0.50 × miles driven + 15
y = 0.50x + 15
Hence, the equation representing the given relationship is
y = 0.50x + 15
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HELP ME ASAP PLEASEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
y = 3x ..... 1:3
y=9x ...... 1:9
Step-by-step explanation:
A right triangle has side lengths 8, 15, and 17 as shown below.
Use these lengths to find cosB, tanB, and sinB.
I WILL MARK BRAINLIEST
Answer:
cos B = 8/17
tan B = 15/8
sin B = 15/17
Step-by-step explanation:
sin = opposite side / hypotenuse
cos = adjacent / hypotenuse
tan = opposite / adjacent
Remember: Some old hippie, caught another hippie, tripping on acid.
The price of an item has risen to $207 today. Yesterday it was $180. Find the percentage increase
Answer:
15% '
Step-by-step explanation:
Price yesterday = $180
Price today = $207
Increase in price = $(207 - 180)
=> $27
Percent increase =
Increase / Price of yesterday
=> 27 / 180 * 100
=> 3 / 2 * 10
=> 30 / 2
=> 15
15%
Therefore, the rise in the price of the item = 15%
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Maris purchased a building for £10 m on 1 January 2020 and rented it out to an unassociated company. At 31 December 2020 it is estimated that the building could be sold for £10.8 m, with selling costs of £200,000. If Maris uses the fair value model, which of these statements concerning the fair value exercise for the year ended 31 December 2020 is true?
a. Gain of £600,000 to Statement of Profit or loss
b. Gain of £600,000 to Revaluation surplus and OCl
c. Gain of £800,000 to Statement of Profit or loss
d. Gain of £800,000 to Revaluation surplus and OCl
The correct answer is: c. Gain of £800,000 to Statement of Profit or loss.
Since Maris uses the fair value model, the gain from the increase in the fair value of the building is recognized in the Statement of Profit or Loss. In this case, the building's fair value increased from £10 million to £10.8 million, resulting in a gain of £800,000. Therefore, the gain of £800,000 should be recognized in the Statement of Profit or Loss.According to the fair value model, any gain or loss resulting from the change in fair value of the asset should be recognized in the financial statements. In this case, the increase in the fair value of the building is considered a gain.
Since the gain of £800,000 (the difference between the fair value of £10.8 million and the original purchase price of £10 million) is a result of the change in the asset's fair value, it should be recognized in the Statement of Profit or Loss. This gain represents the increase in the value of the building during the year.
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find five consecutive even integers preceding -35
Answer:
-44, -42, -40, -38, -36
Step-by-step explanation:
"preceding" requires an indication of the direction.
but I assume the usual left to right direction. in that sense the provided 5 even numbers are directly preceding -35
Calculate the slope of the graph below. Write your answer into the blank, m=
Answer: 2
Step-by-step explanation:
Slope=rise/run
In this case
Rise=2
Run=1
2/1=2
Answer: m = 2
Step-by-step explanation:
1) m= (y2-y1)/(x2-x1)
2) let say :
y1=0
y2=4
x1=-2
x2=0
3) m= (4-0)/(0-(-2))
4) m= 4/2 =2
What is the product of 7 (-3)
Answer:
-21
Step-by-step explanation:
7 x 3 =21
7 x -3= -21
hope this helps
Answer:
-21
Step-by-step explanation:
7 × (-3) = -21
A positive times a negative is always a negative.
What is the equation of the line that passes through the point (6, -6) and has a slope of (-2, -2)
Answer:
y = -1/2x -3
Step-by-step explanation:
The steps to solve this include finding the slope of the line and finding the point where the line crosses the y axis.
Slope is Rise over Run or difference of the y values over the difference of the x values.
Rise = difference between -6 and -2 = 4
Run = difference between 6 and -2 = 8
So slope is 4/8. The line slants downward from left to right so the slope is also negative. Slope = - 4/8 or simplified to - 1 / 2
To find the y intercept, use the slope-intercept form equation:
y = mx + b where m is your slope and b is the y intercept. Solve for b and use one or both of your points that you were given along with your slope.
-6 = -1/2(6) + b OR -2 = -1/2(-2) + b
-6 = - 3 + b -2 = 1 + b
-3 = b -3 = b
Now you can use your calculated slope and calculated b to form your equation.
y = mx + b
y = - 1/2x -3
The logarithm form of 5^3 =125 is equal to
a. log5 125 = 3 b. log5 125 = 5
c. log3 125 = 5 d. log5 3 = 3
The correct logarithm form is: a. log5 125 = 3
Question is about finding the logarithm form of 5³ = 125 using the given options.
The correct logarithm form is:
a. log5 125 = 3
Here's the step-by-step explanation:
1. The exponential form is given as 5³= 125.
2. To convert it to logarithm form, you have to express it as log(base) (argument) = exponent.
3. In this case, the base is 5, the argument is 125, and the exponent is 3.
4. Therefore, the logarithm form is log5 125 = 3.
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