$2,240.75
Step-by-step explanation:
just multiply each tune up price by the amount she worked on within that week and add them all up
The charges for the week, including 35 oil changes and tune-ups for 5 four-cylinder engines, 7 six-cylinder engines, and 2 eight-cylinder engines, amount to $2308.25.
To calculate the charges for the week, we need to find the total cost for both oil changes and tune-ups.
Charges for Oil Changes:
Charlene did 35 oil changes, and each oil change costs $33.95. So the total charges for oil changes can be calculated as follows:
Total charges for oil changes = Number of oil changes * Cost per oil change
Total charges for oil changes = 35 * $33.95
Total charges for oil changes = $1183.25
Charges for Tune-ups:
For the tune-ups, she serviced 5 four-cylinder engines, 7 six-cylinder engines, and 2 eight-cylinder engines. Let's calculate the total charges for each type of engine and then add them together.
Total charges for four-cylinder engine tune-ups = 5 * $72.50 = $362.50
Total charges for six-cylinder engine tune-ups = 7 * $82.50 = $577.50
Total charges for eight-cylinder engine tune-ups = 2 * $92.50 = $185.00
Total charges for all tune-ups = $362.50 + $577.50 + $185.00 = $1125.00
Total Charges for the Week:
Now, let's find the total charges for the entire week by adding the charges for oil changes and tune-ups:
Total charges for the week = Total charges for oil changes + Total charges for all tune-ups
Total charges for the week = $1183.25 + $1125.00 = $2308.25
The charges for the week, including 35 oil changes and tune-ups for 5 four-cylinder engines, 7 six-cylinder engines, and 2 eight-cylinder engines, amount to $2308.25.
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Simplify. 3+2(13−17)2 Enter your answer in the box.
Answer:
35
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out expression
3 + 2(13 - 17)²
Step 2: Parenthesis subtraction
3 + 2(-4)²
Step 3: Exponent
3 + 2(16)
Step 4: Parenthesis multiplication
3 + 32
Step 5: Add
35
PLEASE HELP !!!
Robin Hood fooled King John when he gave
him 3/6 of the coins. You could say that he
Input the fraction 1/2 (x) and his output was
3/6 (y). The function that caused that output
was multiplying both the numerator and the
denominator by 3.
Step-by-step explanation:
This is a common knowledge of equivalent fractions.
Multiplying both the numerator and denominator of a fraction by the same quantity does not change the value of the fraction.
Not only multiplication, but division also works. What ever operation performed on the numerator must also be performed on the denominator.
1/2 = 2/4 = 4/8 = 16/32
Given that sin(90 -5thetha) = Cos(180 - 0),
Find the value of theta
Answer:
θ = 54 - π/10 - (2 π n_1)/5 for n_1 element Z
or θ = -18 - π/10 - (2 π n_2)/5 for n_2 element Z
Step-by-step explanation:
Solve for θ:
sin(90 - 5 θ) = cos(180)
Hint: | Express the right hand side in terms of sine.
Rewrite the right hand side using cos(θ) = sin(θ + π/2):
sin(90 - 5 θ) = sin(π/2 + 180)
Hint: | Eliminate the sine from the left hand side.
Take the inverse sine of both sides:
90 - 5 θ = -180 + π/2 + 2 π n_1 for n_1 element Z
or 90 - 5 θ = 180 + π/2 + 2 π n_2 for n_2 element Z
Hint: | Look at the first equation: Isolate terms with θ to the left hand side.
Subtract 90 from both sides:
-5 θ = -270 + π/2 + 2 π n_1 for n_1 element Z
or 90 - 5 θ = 180 + π/2 + 2 π n_2 for n_2 element Z
Hint: | Solve for θ.
Divide both sides by -5:
θ = 54 - π/10 - (2 π n_1)/5 for n_1 element Z
or 90 - 5 θ = 180 + π/2 + 2 π n_2 for n_2 element Z
Hint: | Look at the second equation: Isolate terms with θ to the left hand side.
Subtract 90 from both sides:
θ = 54 - π/10 - (2 π n_1)/5 for n_1 element Z
or -5 θ = 90 + π/2 + 2 π n_2 for n_2 element Z
Hint: | Solve for θ.
Divide both sides by -5:
Answer: θ = 54 - π/10 - (2 π n_1)/5 for n_1 element Z
or θ = -18 - π/10 - (2 π n_2)/5 for n_2 element Z
A car travel 126 miles in 3 hours at this rate how many miles can the car travel in 4 hours
Answer:
168miles
Step-by-step explanation:
if it travels 126 miles in 3 hours
then in 1 hour it travels 126÷3 = 42miles
4 hours= 4×42= 168 miles
In the problem (2*4)^2 -(21-18)^2=... does the order of operations make a difference in the final answer? YES or NO
5√27-17√3 in radical form
Answer:
[tex]-2\sqrt{3}[/tex]
Step-by-step explanation:
[tex]5\sqrt{27} -17\sqrt{3} =5*3\sqrt{3} -17\sqrt{3}[/tex]
[tex]=15\sqrt{3} -17\sqrt{3}[/tex]
=[tex]-2\sqrt{3}[/tex]
What is the value of x/4y, when x=16 and y=2
Answer:
2
Step-by-step explanation:
First let’s add the x, y into the fraction.
16/4(2)
Now simplify,
16/8=
2/1=
2
The areas of three circles are shown.
Circle X
Circle Y
Circle z
A=9x cm?
A-
cm?
A = 27.5 cm
Not drawn to scale
Which list shows the circles in order from greatest area to least area?
A. Circle Z, circle Y, circle X
B. Circle Y, circle Z, circle X
C. Circle X, circle Z, circle Y
D. Circle X, circle Y, circle z
Answer:
C. Circle X, circle Z, circle Y
Step-by-step explanation:
Given
Circles X, Y and Z
Required
Order from greatest to highest
First, we need to simplify the given areas;
For Circle X
[tex]A = 9\pi[/tex]
Take [tex]\pi[/tex] as 3.14
[tex]A = 9 * 3.14[/tex]
[tex]A = 28.26[/tex]
For Circle Y
[tex]A = \frac{\sqrt3}{2}[/tex]
This gives
[tex]A = \frac{1.732}{2}[/tex]
[tex]A = 0.866[/tex]
For Circle Z
[tex]A = 27.5[/tex]
By comparing the above areas;
X has the largest area; followed by Z and then Y
Hence,
option C answers the question
Answer:
x,z,y
Step-by-step explanation:
A rectangle on a coordinate plane has vertices at (7, 5), (–7, 5), (–7, –2), and (7, –2). What is the perimeter of the rectangle?
A. 21 units
B. 34 units
C. 42 units
D. 98 units
choose the more precise measurement from the pair 54.1 cm and 54.16 cm.
Answer:
a
Step-by-step explanation:
Precision means that a measurement using a particular tool or implement produces similar results every single time it is used. For example, if you step on a scale five times in a row, a precise scale would give you the same weight each time. In math and science, calculating precision is essential to determine if your tools and measurements work well enough to get good data. You can report precision of any data set using the range of values, the average deviation, or the standard deviation.
Express 10 miles in kilometers.
20−6+4k=2−2k plz solve
Answer:
-2
Step-by-step explanation:
Answer:
k=-2
Step-by-step explanation:
isolate the viarable by dividing each side by factors that contain the variable
How can you write the statement "Obtuse angles have a greater measure than acute angles" so that it is a good definition?
Answer:
Obtuse angles have a measure that is greater than 90 but less than 180 degrees, while acute angles have a measure that is less than 90 but greater than 0.
Step-by-step explanation:
Obtuse angles have a measure that is greater than 90 but less than 180 degrees because 180 degree angle is a straight angle. Any angle that is greater than 181 but less than 360 degrees is known as a reflex angle. Acute angles have a measure that is less than 90 but greater than 0 because anything with a higher of lower degree of measure would be consider a different angle.
6 square root of f I need help plzzzzzzz
Answer:
2.44948974278
sqrt(6)
elsa bakes a small cake for her family. first her sister has one quarter and her mom ate one third. how much cake was left for else?
Answer:
5/12 cake was left for everyone else
Step-by-step explanation:
1/4 + 1/3
convert so denominators are equal
1/4 x 3 = 3/12
1/3 x 4 = 4/12
3/12+4/12=7/12
12/1-7/12= 5/12
Answer:
4/9
Step-by-step explanation:
Solve for.x 3x-2(6-x)=7x+2(5+x)-6
Answer:
A) x = -4
Step-by-step explanation:
[tex]3x-2\left(6-x\right)=7x+2\left(5+x\right)-6\\\\\mathrm{Expand\:}3x-2\left(6-x\right):\quad 5x-12\\\\\mathrm{Expand\:}7x+2\left(5+x\right)-6:\quad 9x+4\\5x-12=9x+4\\\\\mathrm{Add\:}12\mathrm{\:to\:both\:sides}\\5x-12+12=9x+4+12\\\\Simplify\\5x=9x+16\\\\\mathrm{Subtract\:}9x\mathrm{\:from\:both\:sides}\\5x-9x=9x+16-9x\\\\Simplify\\-4x=16\\\\\mathrm{Divide\:both\:sides\:by\:}-4\\\frac{-4x}{-4}=\frac{16}{-4}\\\\Simplify\\x=-4[/tex]
if c(x) = 4x - 2 and d(x)= x2 + 5x, what is (c.d)(x)?
Answer:
4x^3 + 18x^2 - 10x.
Step-by-step explanation:
(c.d)(x) = (4x - 2)(x^2 + 5x)
= 4x^3 + 20x^2 - 2x^2 - 10x
= 4x^3 + 18x^2 - 10x.
Please Answer All And Explain (Will Give Brainliest) ASAP
Answer:
A: irrational
B: whole number
C: rational
D: irrational
E: natural
F: irrational
G: integer
H: irrational
I: rational
J: irrational
K: rational
Melissa needs to mix 2 cups of baking soda with 3 cups of vinegar to make a claening solution. How many cups of baking soda are needed for each cup of vinegar?
Answer: 2/3 cups
Step-by-step explanation:
To find out how many cups of baking soda are needed for each cup of vinegar divide the number of cups of baking soda by the number of cups of vinegar
2/3 = 0.6666..
Which means you need 2 thirds cups of soda for each cup of vinegar.
Can you solve this for me please???
Answer:
D
Step-by-step explanation:
all is correct but from 2 to 3 you add +4 to both sides
What is the value ?....
Answer:
22
Step-by-step explanation:
Help needed ASAP will give BRAINLIEST
Answer:
The correct answer is C hope this helps :)
Step-by-step explanation:
chris and jeff sold 15 pounds of trail mix . they sold the trail mix for $3.98 per pound . How much money did they collect
Answer:
The anwser I got was 59.7
Step-by-step explanation:
I am in 7th grade so I most likley got the wrong anwser but Multipled 3.98 by 15 and got 59.7
Cows and Chickens
A chicken farmer also has cows for
a total of 30 animals, and the
animals have 66 legs in all.
How many chickens does the farmer have?
Answer:
27 Chickens
Step-by-step explanation:
Represent the chicken with A and the cows with B
Given
[tex]A + B = 30[/tex]
A has 2 legs and B has 4; So:
[tex]2A + 4B = 66[/tex]
Required
Determine A and B
Make B the subject of formula in the first equation
[tex]B = 30 - A[/tex]
Substitute 30 - A for B in the second equation
[tex]2A + 4(30 - A) = 66[/tex]
Open the bracket
[tex]2A + 120 - 4A = 66[/tex]
Collect Like Terms
[tex]2A - 4A = 66 - 120[/tex]
[tex]-2A= -54[/tex]
Divide through by -2
[tex]A = 27[/tex]
Hence, the farmer has 27 chickens
Solve for v.
-8v+3(v-3) = 16
Hi there! :)
Answer:
[tex]\huge\boxed{v = -5}[/tex]
-8v + 3(v - 3) = 16
Distribute the 3:
-8v + 3(v) + 3(-3) = 16
-8v + 3v - 9 = 16
Combine like terms and simplify:
-5v - 9 = 16
-5v - 9 + 9 = 16 + 9
-5v = 25
Divide both sides by -5:
-5v/(-5) = 25/(-5)
v = -5.
Pencils are sold in packages of 10, and erasers are sold in packages of 6. What is the least number of pencils and erasers you can buy so that there is one pencil for each eraser with none left over?
How do I solve this?
Answer:
Step-by-step explanation:
The first thing you have to do, is rewrite the given expression
[tex]Ar^{-2} = \frac{A}{r^{2} }[/tex]
Then you plug in the given values
[tex]\frac{A}{r^{2} } = \frac{50.265}{4^{2} }[/tex]
Finally you simplify
[tex]\frac{50.265}{4^{2} }=\frac{50.265}{16} = 3.142[/tex]
Find the sum: (x3 + 4x2 + 2x - 6) + (5x - 7x2 + 3) A. x3 - 3x2 + 7x + 3 B. x3 - 3x2 + 7x - 3 C. x3 + 3x2 + 7x - 3 D. x3 - 3x2 + 3x - 3
=x3−3x2+7x−3
your answer is B
What is 3x3x4x4x3x4 using exponents
Answer:
1728
Step-by-step explanation:
[tex]3 \times 3 \times 3 \times 4 \times 4 \times 4 \\ [/tex]
[tex] = > {3}^{3} \times {4}^{3} [/tex]
As both 3 & 4 have same exponent , the bases will get multiplied with exponent as 3.
[tex] = > {(3 \times 4)}^{3} [/tex]
[tex] = > {12}^{3} = 1728[/tex]
1728 is the value of 3x3x4x4x3x4
What is Number system?A number system is defined as a system of writing to express numbers.
The given expression is 3x3x4x4x3x4
The operator in the given expression is multiplication.
Which is also know as product
Multiplication is a method of finding the product of two or more numbers
3x3x4x4x3x4 can be written in exponent form.
As three is multiplied three times we can take as 3³
four is multiplied three times we can take as 4³
So 3³×4³
27×64
1728
Hence, 1728 is the value of 3x3x4x4x3x4
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Evaluate the expression for x = 1
x - 5
Answer:
-4
Step-by-step explanation:
We are given the expression:
[tex]x-5[/tex]
and asked to evaluate for x=1. Therefore, we must substitute 1 in for x.
[tex]x-5, x=1[/tex]
[tex]1-5[/tex]
Perform the operation. Subtract 5 from 1.
[tex]-4[/tex]
The expression x-5 when evaluate for x=1 is equal to -4.