The cost of Mary's lodging cost is A = $ 225.63
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
In an equation, the expressions on either side of the equals sign are called the left-hand side (LHS) and the right-hand side (RHS), respectively. The equals sign (=) indicates that the two expressions have the same value, and that the equation is true for certain values of the variables involved.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. It typically consists mathematical operations, such as addition, subtraction, multiplication, division, and exponentiation.
Given data ,
Let the total lodging cost be represented as A
First, let's calculate the total tax percentage
6% + 2% + 1% = 9%
So, Mary will pay 9% tax on the room rate of $69 per night.
Total room rate for 3 nights = 3 x $69 = $207
Total tax amount = 9% of $207 = $18.63
On simplifying the equation , we get
Therefore, Mary's total lodging cost will be:
A = $207 + $18.63 = $225.63
Hence , the total lodging cost is A = $ 225.63
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11. The surface area of a triangular prism is 78 square inches. What is
the surface area of a similar prism that is three times as large?
A. 156 square inches
B. 234 square inches
C. 312 square inches
D. 702 square inches
Answer:
D. 702square inches
Step-by-step explanation:
1. V=78km^3
2. K=∛9
3. K^3=∛9^3
4.9 x 78=702
Rest of the Key for the test is here:
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The height of a can is 3 times its radius. If the radius of the can is 3 centimeters, what is the volume?
Answer:
170 [tex]cent.^{3}[/tex]
Step-by-step explanation:
If the height is 3 times the radius you can find that by: 3r
r = 3.
So: 3 x 3 = 9
The height is 9 centimeters
Volume of a cylinder (can):
[tex]V= 2\pi rh[/tex]
Plug in what we know
[tex]V = 2 \pi (3) (9)\\V = 54\pi \\V = 169.646\\[/tex]
Rounds to: 170
What is the function where it has a maximum point at (pi, 6) and a minimum point at (-3pi/4, 2). Find the function. Give an exact expression.
Answer:
f(x) = 2*cos(4*x) + 4
Step-by-step explanation:
This is obviusly a sinusoidal function, which can be written as:
f(x) = A*cos( w*x ) + M
Where:
A = amplitude
w = angular frequency
M = midline.
Remember that the maximum of a cosine
cos(x) = 1, when x = (2*n)*pi (for any integer n)
And the minimum is at:
cos(x) = -1, when x = (2*m + 1)*pi (for any integer m)
Whit this in mind, we know that we have a maximum when:
x = pi
then we want:
w*pi = (2*n)*pi
and a minimum at:
x = -3*pi/4
Then we want
w*(-3*pi/4) = (2*m + 1)*pi
In the minimum case, we have a "4" in the denominator that is kinda unfortunate, so we woud want to take w = 4 in order to remove it, and this will work really well for wath we want, because:
w*pi = 4*pi = (2*2)*pi (here we have n = 2)
w*(-3*pi/4) = 4*(-3*pi/4) = -3*pi = (2*-2 + 1)*pi (here we have m = -2)
Then we can take w = 4.
So the function is something like:
f(x) = A*cos(4*x) + M
The amplitude is equal to half of the difference between the maximum and the minimum values of y.
The maximum is:
y = 6
the minimum is:
y = 2
Half of the difference is:
A = (6 - 2)/2 = 2
A = 2
Then our function is:
f(x) = 2*cos(4*x) + M
The value of the midline is equal to the maximum minus the value of the amplitude (or the minimum plus the value of the amplitude)
M = Maximum - A = 6 - 2 = 4
M = Minimum + A = 2 + 2 = 4
Then the function is:
f(x) = 2*cos(4*x) + 4
Answer:
2cos (4/7x - 4pi/7) + 4
Step-by-step explanation:
Need help ASAP please
The graph of the quadratic function y(x) in the ty plane is a parabola containing the points (9,8) and (-5,8). Which of the following points could be the vertex of the parabola?
(0,2)
(2,5)
(4,10)
(7,0)
Answer:
(2, 5) is the correct answer.
find the degree of the polynomial
Answer:
Step-by-step explanation:
1) 5a - 2b² + 1
Degree of the polynomial = 2
2) 4x²-3x³ + 2x + 12
-3x³ + 4x² + 2x + 12
Degree of the polynomial = 3
To find the degree of the polynomial, arrange it in descending as per the power of the variables.
The highest power of the variable is the degree of the polynomial.
divide 144 of in the ratio 2: 8: 6
Answer:
● First part = 2×x = 2x
● Second part= 8×x = 8x
● Third part= 6×x = 6x
Now,
2x+8x+6x = 144
or, 16x= 144
or, x=144/6
or, x=9
therefore, x=9
Which is the equation of the line with slope 3 and y-
intercept 5.
Answer:
y=3x+5
Step-by-step explanation:
A company makes a profit of $2 per software program and $3 per video game. The company can produce at most 40 software programs and at most 15 video games per week. Total production cannot exceed 48 items per week. How many items of each kind should be produced per week in order to maximize the profit?
Use linear programming to solve. Show all your work.
Answer:
reeg
Step-by-step explanation:
Helpppppp pleaseeeee
Answer:
x + 11
x = 6
6 + 11
17
Step-by-step explanation:
Answer: X+11=6+11=17 #5
Step-by-step explanation:
Hope this helps! Have a good day! :)
Evaluate 4b-a when a=12 and b=7
Answer:
4b - a = 15
Step-by-step explanation:
if you replace the variables with their equivalent counterparts you get the equation 4(7) - 12 = __ when you do the math make sure to do the parentheses first then subtract, just like in elementary school remember pemdas parentheses, exponents, multiplication, division, addition, subtraction. I hope this helps.
good luck:)
Brainliestttt Plssssssss:)
Answer:
4b - a = 15
Step-by-step explanation:
9 cm 12 cm Which of the following equations could be used to find the area of the rhombus? What is the area of the rhombus?
Answer:
A = (9)(12)
Step-by-step explanation:
In ΔSTU, the measure of ∠U=90°, US = 7.3 feet, and ST = 9.8 feet. Find the measure of ∠S to the nearest tenth of a degree.
Answer:41.8
Step-by-step explanation:
What is the slope of the line described by the equation 4x + 6y = 12?
Answers:
-3/2
-2/3
2/3
3/2
What is the rate he charges to mow?
OA. $1.50 per lawn
OB. $60.00 per lawn
OC. $15.00 per lawn
OD. $7.50 per lawn
∠A and \ angle B∠B are complementary angles. If m\angle A=(x+8)^{\circ}∠A=(x+8) ∘ and m\angle B=(8x+1)^{\circ}∠B=(8x+1) ∘ , then find the measure of \angle A∠A.
Answer: [tex]17^{\circ}[/tex]
Step-by-step explanation:
Given
[tex]\angle A=(x+8)^{\circ}[/tex]
[tex]\angle B=(8x+1)^{\circ}[/tex]
Angle A and B are complementary i.e. sum of the two must be [tex]90^{\circ}[/tex]
[tex]\Rightarrow \angle A+\angle B=90^{\circ}\\\Rightarrow x+8+8x+1=90^{\circ}\\\Rightarrow 9x=90-9=81^{\circ}\\\Rightarrow x=9^{\circ}[/tex]
[tex]\therefore \angle A=x+8^{\circ}=9+8\\\Rightarrow \angle A=17^{\circ}[/tex]
please help me with this i don’t understand it
Answer:
62
Step-by-step explanation:
119 is adjacent to angle x. angle x and 119=180 (because the angle of a straight line is 180.) which means to find angle x you have to subtract 119 from 180. 180-119=61. because you now know two angles in the triangle you can add the together and subtract them from 180 (remember 180 is what all the angles in a triangle should add up to 180). 61+57=118 and 180-118=62
i hope this helped!
What is 5 divided by 1 1/2?
Answer:
3 and 1/3
Step-by-step explanation:
Can someone help me find for x and y
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Triangles.
Since there is a linear pair with 40° , the another angle will be 140° ,
also the triangle newly formed is a isosceles one,
hence x = 20°
===> x = 20°
Now apply angle sum property of a triangle on, the other one,
we get as, 70+40+y=180
hence, y = 180-110
y = 70°
Hence angle y ==> 70°
What is the measure of DCF?
E
D
75°
54°
F.
The measure of ZDCF is
degrees.
angle DCF = angle DCE + angle ECF
angle DCF = 75° + 54°
angle DCF = 129°
Measure of < DCF is [tex]129^{0}[/tex].
What is an angle?A figure which is formed by two rays or lines that shares a common endpoint is called an angle.
According to the figure
< DCE = [tex]75^{0}[/tex]
< ECF = [tex]54^{0}[/tex]
Measure of < DCF = < DCE + < ECF
= [tex]75^{0}[/tex] + [tex]54^{0}[/tex]
= [tex]129^{0}[/tex]
Hence, measure of < DCF is [tex]129^{0}[/tex].
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The determinant of the matrix
Answer:57
Step-by-step explanation:
(7 x 9) - (-3 x -2) = 57
Tara has two bags of marbles. The first bag contains 6 red marbles,5 blue marbles, 4 green marbles , the second bag contains 3 red marbles,2 blue marbles and 4 green marble. Tara will randomly select 1 marble from each bag. What is the probillity that Tara will randomly pick a blue marble from each bag?.
NEED HELP ASAP
If the side lengths of a cube are 15 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form?
15 ⋅ 15 ⋅ 15
15 ⋅ 3
3^15
15^3
A trader sold a radio set for 72.00 making a profit of 8% .Find , correct to the nearest ghana cedis ,the cost price for the radio set .
Given:
The selling price of a ratio set = 72.00
Profit percent = 8%
To find:
The cost price for the radio set.
Solution:
Let x be the cost price for the radio set.
Radio set is sold at 8% profit.
[tex]\text{Selling price}=x+\dfrac{8}{100}x[/tex]
[tex]\text{Selling price}=x+0.08x[/tex]
[tex]\text{Selling price}=1.08x[/tex]
The selling price of a ratio set is 72.00.
[tex]72=1.08x[/tex]
[tex]\dfrac{72}{1.08}=x[/tex]
[tex]x=66.666...[/tex]
[tex]x\approx 67[/tex]
Therefore, the cost price for the radio set is 67.
Lily bought 11 3/4 metres of ribbon. Each metre costs $24.00. How much did Lily spend
Answer:
$282
Step-by-step explanation:
Which statement is true about the points shown on the number line? A number line from negative 8 to negative 3. Points are at negative 5.6 and negative 4.2. CLEAR CHECK −5.6<−4.2, and −5.6 is located to the left of −4.2. −5.6<−4.2, and −5.6 is located to the right of −4.2. −5.6>−4.2, and −5.6 is located to the left of −4.2. −5.6>−4.2, and −5.6 is located to the right of −4.2.
Answer:
−5.6<−4.2, and −5.6 is located to the left of −4.2
Step-by-step explanation:
Given the statements :
−5.6<−4.2, and −5.6 is located to the left of −4.2 (True) because - 5.6 located to the left of the number line and numbers are arranged from right to left in decreasing order.
−5.6<−4.2, and −5.6 is located to the right of −4.2. (Not true) only the first assertion is correct, - 5.6 < - 4.2, but 5.6 isn't located to the right of - 4.2
−5.6>−4.2, and −5.6 is located to the left of −4.2 (Not true) ; Though 5.6 is located to the left of 4 2, 5.6 is < 4.2
−5.6>−4.2, and −5.6 is located to the right of −4.2. (Not true) ; - 5.6 is < -4.2 and also located to the left of - 4.2
How does the cost of shirts compare to the cost of the magnets? *
The cost of the shirts is ____ times as much as the cost of magnets.
Answer:
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Step-by-step explanation:
Answer:
$0.95
Step-by-step explanation:
Which linear equation is in the point-slope form?
Answer:
points
Step-by-step explanation:
Someone help me with this if you know the answer swipe up
Complete the statement. 15 kg = ____ g
Answer:
15000
Step-by-step explanation:
Answer:
15kg = 15,000 grams
Step-by-step explanation:
hope this helped if it did mark brainlest
and let me know
Halp meh please. Its a test and needs to be turned in at 3:25
Answer:
exact form- 61/8
mixed number form-7 5/8
?
Step-by-step explanation:
Answer:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
61 /8
Decimal Form:
7.625
Mixed Number Form:
7
5/8
Step-by-step explanation: