Answer:
6 Cheese burgers 11 fries
4 Cheese Burgers 9 fries
Step-by-step explanation:
Answer:
2 cheese burgers($6),12 fries ($24)
6 cheeseburgers($18), 6 fries($12)
The length of a rectangle is twice its width. Find its lenght and width, if its perimeter is 7 1/3 cm.
The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.
Let's assume the width of the rectangle is "b" cm.
According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.
The formula for the perimeter of a rectangle is given by:
Perimeter = 2 * (length + width)
Substituting the given perimeter value, we have:
7 1/3 cm = 2 * (2b + b)
To simplify the calculation, let's convert 7 1/3 to an improper fraction:
7 1/3 = (3*7 + 1)/3 = 22/3
Rewriting the equation:
22/3 = 2 * (3b)
Simplifying further:
22/3 = 6b
To solve for "b," we can divide both sides by 6:
b = (22/3) / 6 = 22/18 = 11/9 cm
Therefore, the width of the rectangle is 11/9 cm.
To find the length, we can substitute the width back into the equation:
Length = 2b = 2 * (11/9) = 22/9 cm
So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.
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Given that 8 tan = 3 cos
a) Show that the above equation can be rewritten in the form 3 sin2 + 8 sin − 3 = 0
b) Hence solve, for 0 ≤ ≤ 90, the equation 8 tan 2 = 3 cos 2, giving your answers to 2 decimal places.
The only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given Range is θ ≈ 19.47 degrees.
a) We are given the equation 8 tan θ = 3 cos θ.
Dividing both sides of the equation by cos θ, we have:
8 tan θ / cos θ = 3
Using the identity tan θ = sin θ / cos θ, we can substitute it into the equation:
8 (sin θ / cos θ) / cos θ = 3
Simplifying further, we get:
8 sin θ / cos^2 θ = 3
Now, multiplying both sides of the equation by cos^2 θ, we have:
8 sin θ = 3 cos^2 θ
Using the identity cos^2 θ = 1 - sin^2 θ, we can substitute it into the equation:
8 sin θ = 3(1 - sin^2 θ)
Expanding the equation, we get:
8 sin θ = 3 - 3 sin^2 θ
Rearranging the terms, we have:
3 sin^2 θ + 8 sin θ - 3 = 0
Therefore, we have successfully shown that the equation can be rewritten in the form 3 sin^2 θ + 8 sin θ - 3 = 0.
b) Now, let's solve the equation 3 sin^2 θ + 8 sin θ - 3 = 0.
To solve the quadratic equation, we can use factoring, quadratic formula, or other appropriate methods.
In this case, the equation factors as:
(3 sin θ - 1)(sin θ + 3) = 0
Setting each factor equal to zero, we have two equations:
3 sin θ - 1 = 0 or sin θ + 3 = 0
For the first equation, solving for sin θ, we get:
3 sin θ = 1
sin θ = 1/3
Taking the inverse sine (sin^-1) of both sides, we find:
θ = sin^-1(1/3) ≈ 19.47 degrees (to 2 decimal places)
For the second equation, solving for sin θ, we have:
sin θ = -3
Since the range of sine is between -1 and 1, there are no solutions for this equation in the given range (0 ≤ θ ≤ 90 degrees).
Therefore, the only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given range is θ ≈ 19.47 degrees.
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What is the range of the function y=3√√x+8 1x
Answer:
The range of the function is: -∞≤y≤∞.
Consider the provided function.
The range of the function is the set of all values which a function can produce or the set of y values which a function can produce after substitute the possible values of x.
The range of a cubic root function is all real numbers.
Now consider the provided function.
The above function can be written as:
Taking cube on both sides.
The graph of the function is shown in figure 1:
For any value of x we can find different value of y.
Here, the cube root function can process negative values. Since, the function can produce any values, the range of the given function is -∞≤y≤∞ .
Therefore, the range of the function is: -∞≤y≤∞ (A).
I need a bit of help pls.
Answer:
#1. 150, #2. 650, #3. 2 PM to 4 PM #4. 8AM to 4PM (8 hours) #5. the frequency of weight in pounds #6. 22 cats
#7. 1 - 40 pounds #8. 11 - 20 pounds
100 points!!!
Solve the following equation:
8x + 3 = 2x + 9
Answer:
\(\Huge \boxed{\boxed{ x = 1}}\)
Step-by-step explanation:
Isolate the variable on one side of the equation before trying to solve it. It means that you should only have constants (numbers) on the other side of the equal sign and the variable alone on the one side.
To do this, you can add, subtract, multiply, divide, or use any other operation to both sides of the equation as long as you do the same thing on both sides.
Your final step depends on the equation and how you've simplified it. In general, you want to figure out how you arrived at the final equation by working backwards from it. You'll isolate the variable in the last action you took.
-------------------------------------------------------------------------------------------------------------
SolutionStep1: Subtract \(\bold{2x}\) from both sides
\(8x + 3 = 2x + 9\)\(8x - 2x + 3 = 2x - 2x + 9\)\(6x + 3 = 9\)Step 2: Subtract 3 from both sides
\(6x + 3 - 3 = 9 - 3\)\(6x = 6\)Step 3: Divide both sides of the equation by 6
\(\frac{6x}{6} = \frac{6}{6}\)\(x = 1\)So the solution to the equation \(\bold{8x + 3 = 2x + 9}\) is \(\bold{x = 1}\).
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Instruction's
The cash account for Brentwood Bike Co. at May 1 Indicated a balance of $34,250. During May, the total cash deposited was $140,300, and checks written totaled $138,880. The bank statement indicated a balance
of $43,525 on May 31. Comparing the bank statement, the canceled checks, and the accompanying memas with the records revealed the following reconciling items:
a. Checks outstanding totaled $6,440.
b. A deposit of $1,850 representing receipts of May 31 had been made too late to appear on the bank statement.
c. The bank had collected for Brentwood Bike Co. $5,250 on a note left for collection. The face of the note was $5,000.
d. A check for $390 returned with the statement had been incorrectly charged by the bank as $930.
e. A check for $210 returned with the statement had been recorded by Brentwood Bike Co. as $120. The check was for the payment of an
obligation to Adkins Co. on account.
1. Bank service charges for May amounted to $30.
g. A check for $1,325 from Jennings Co. was returned by the bank due to insufficient funds.
Required:
1. Prepare a bank reconciliation as of May 31. Be sure to complete the statement heading. Refer to the Labels and Amount Descriptions for the
exact wording of text entries. "Deduct:" or "Add" will automatically appear if it is required. Whenever there is more than one adjusting item in the
bank portion of the reconciliation or the general ledger portion of the bank reconciliation, enter in the order presented in the instructions. Enter
all amounts as positive numbers.
2. Journalize the necessary entries. The accounts have not been closed. Refer to the chart of accounts for the exact wording of the account titles.
CNOW journals do not use Wines for journal explanati Every line on a journal page is used for debit or credit entries. CNOW journals will
automatically indent a credit entry when a credit amount is entered.
3. If a balance sheet is prepared for Brentwood Bike Co. on May 31, what amount should be reported as cash?
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Bank Reconciliation Statement:
Bank reconciliation statements are prepared to find out the facts behind the differences between the cash account balance and the balance shown by the bank statement. Periodical bank reconciliation helps to prevent frauds and rectify any accounting errors and mistakes.
Calculation of Cash Account Balance of Brentwood Bike Co. as of May 31:
Cash account balance on May 1 $34,250Add: Deposits during May 140,300Less: Checks are written during May (138,880)Cash Account Balance as of May 31 $35,6701. Bank Reconciliation Statement of Bentwood Bike Co. as of May 31.
Balance as per cash account $35,670
Add:
Outstanding checks $6,440 Note collected by the bank with interest 5,250 Check returned 390 Check returned 120 12,200Less:
Deposit in transit 1,850 Check incorrectly charged by the bank 930 Correction of check to Adkins Co. 210 Bank service charges for May 30 Check from Jennings Co. returned 1325 (4,345)Balance as per Bank Statement $43,5252. Journal Entries to be recorded:
May 31 Cash $5,250 Interest Revenue $250Notes Receivable $5,000(Collection of note with interest by the bank) May 31 Accounts Payable $90 Cash $90(Rectification of payement to Adkins Co.) May 31 Bank Charges $30 Cash $30(Bank service charges for May) May 31 Accounts Receivable $1,325 Cash $1,325(Check from Jennings Co. returned)3. Computation of cash account balance should be reported in the balance sheet on May 31:
Cash Account Balance as of May 31 $35,670Add: Note collected by the bank with interest $5,250 5,250Less: Accounts Payable 90 Bank Charges 30 Accounts Receivable 1,325 (1,445)Cash account balance to be reported in balance sheet $39,475Learn more about Bank Reconciliation Statement at:
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In which diagram are angles 1 and 2 vertical angles?
2 lines intersect and form 4 angles. Labeled clockwise from the top: blank, 2, blank, 1.
3 lines extend from a point and form 2 angles, labeled 1 and 2. Both angles add up to 90 degrees.
A horizontal line has 2 lines extending from a midpoint forming 3 angles. Labeled from left to right: 1, 2, 3.
A horizontal line intersect with another line forming 4 angles. Labeled clockwise from top-left: 1, 2, blank, blank.
Answer:
Yes, the answer is A
Step-by-step explanation:
2 lines intersect and form 4 angles. Labeled clockwise from the top: blank, 2, blank, 1. Then the correct option is A.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Vertically opposite angle – When two lines intersect, then their opposite angles are equal.
2 lines intersect and form 4 angles. Labeled clockwise from the top: blank, 2, blank, 1.
Then the correct option is A.
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Differentiate y=x4 -x
Answer:
Step-by-step explanation:
To differentiate the function y = x^4 - x, we will use the power rule of differentiation. The power rule states that if f(x) = x^n, then the derivative of f(x) is f'(x) = nx^(n-1).
So, for y = x^4 - x, we can find the derivative as follows:
y' = 4x^3 - 1
So, the derivative of the function y = x^4 - x is y' = 4x^3 - 1.
HELP WILL GIVE BRAINLYIST
Answer:
The parent cubic function has been vertically stretched by a factor of 4.
Equation:G(x)= 4\(\sqrt[3]{x}\)
Answer: Option B
OAmalOHopeO
A number cube numbered 1-6 is rolled 30 times and lands on an even number 18 times.
How does this frequency compare to the expected frequency based on the probability of
the number cube landing on an even number?
The frequency is 15 more than expected.
The frequency is 13 more than expected.
The frequency is 9 more than expected.
The frequency is 3 more than expected.
Done →
Given statement solution is :- The correct answer is: The frequency is 3 more than expected.
To determine the expected frequency of landing on an even number when rolling a fair six-sided number cube, we need to calculate the probability of landing on an even number and multiply it by the total number of rolls.
The number cube has six possible outcomes: 1, 2, 3, 4, 5, and 6. Of these, three are even numbers: 2, 4, and 6. Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2 or 0.5.
The expected frequency can be found by multiplying the probability by the total number of rolls:
Expected frequency = Probability of landing on an even number × Total number of rolls
Expected frequency = 0.5 × 30 = 15
Now, we can compare the expected frequency (15) to the actual frequency (18) given in the problem statement.
The actual frequency is 18, and it is 3 more than the expected frequency (18 - 15 = 3).
Therefore, the correct answer is: The frequency is 3 more than expected.
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find a number between 1 5/8 and 1.62501
Answer:
\(1 \frac{125001}{200000}\) or 1.625005
Step-by-step explanation:
To find a number between two numbers, if you're allowed to pick any number you want between those two numbers, one natural choice is the midpoint... the point that is exactly halfway between the two numbers.
Finding a midpoint
To find the midpoint of two numbers, divide their sum by 2:
\(\text{midpoint}=\dfrac{\text{first number}+\text{second number}}{2}\)
It is convenient to have both numbers in decimal form or both numbers in fraction form for adding and dividing by 2.
Fraction form:
To convert 1.62501 to a fraction, we note that the last decimal digit is in the hundred-thousandths place, so we'll need a fraction with 100,000 in the denominator.
\(1.62501=1\frac{62501}{100000}\)
Using our midpoint formula:
\(\text{midpoint} = \dfrac{ 1 \frac{5}{8} + 1 \frac{62501}{100000} } {2}\)
find a common denominator...
\(\text{midpoint} = \dfrac{ 1 +(\frac{5}{8})*\frac{12500}{12500} + 1 +\frac{62501}{100000} } {2}\)
\(\text{midpoint} = \dfrac{ 1 + \frac{62500}{100000} + 1 +\frac{62501}{100000} } {2}\)
combining like terms...
\(\text{midpoint} = \dfrac{ 2 +\frac{125001}{100000} } {2}\)
rewriting the division as multiplication of a reciprocal....
\(\text{midpoint} = \left(2 +\frac{125001}{100000} \right) *\dfrac{1}{2}\)
distributing...
\(\text{midpoint} = \left(2 *\dfrac{1}{2} +\frac{125001}{100000} *\dfrac{1}{2}\right)\)
\(\text{midpoint} = 1 +\frac{125001}{200000}\)
\(\text{midpoint} = 1 \frac{125001}{200000}\)
So, \(1 \frac{125001}{200000}\) is the midpoint of the two numbers, and is a number that is between them.
Decimal form:
To convert \(1 \frac{5}{8}\) to a decimal, we divide 5 by 8. 5 divided by 8 is 0.625.
So, \(1 \frac{5}{8}=1.625\)
To find a midpoint of 1.625 and 1.62501, we use our midpoint formula:
Using our midpoint formula:
\(\text{midpoint} = \dfrac{ 1.625 + 1.62501} {2}\)
\(\text{midpoint} = \dfrac{ 3.25001} {2}\)
\(\text{midpoint} =1.625005\)
So, 1.625005 is midpoint of the two numbers, and is a number that is between them.
Extension with decimals:
Knowing the decimal form of the two numbers, 1.625 and 1.62501, we can include trailing zeros at the end of these numbers (since it is to the right of the decimal point), so that 1.625 is equivalent to 1.625000, and 1.62501 is equivalent to 1.625010.
Note that the last two digits are in the millionths place, and that changing the digit in the millionths place for the first number (while leaving all other digits as they are) will also be a number between the two numbers (all 9 of the numbers with a star written below):
1.625000
1.625001*
1.625002*
1.625003*
1.625004*
1.625005*
1.625006*
1.625007*
1.625008*
1.625009*
1.625010
question below please answer
Answer:
the awenser is D
Step-by-step explanation:
took the test lolz
Work out (7 x 10^5) ÷ (2 × 10²)
Give your answer in standard form.
Answer:
\(3.5 x 10^6\)
Step-by-step explanation:
To work out (7 x 10^5) ÷ (2 × 10²) and give the answer in standard form, we need to simplify the expression and express the result in the form a × 10^n, where 1 ≤ a < 10.
First, we can simplify the expression by dividing 7 by 2 and subtracting the exponents of 10:
(7 x 10^5) ÷ (2 × 10²) = (7/2) x 10^(5-2) = 3.5 x 10^3
Next, we can express the result in standard form by moving the decimal point to the right until we have a number between 1 and 10, and adjusting the exponent accordingly:
3.5 x 10^3 = 3.5 x 10^(3+3) = 3.5 x 10^6
Therefore, (7 x 10^5) ÷ (2 × 10²) in standard form is 3.5 x 10^6.
PLEASE HELP IM GETTING TIMED 8. The graph shows the relationship between the depth of a diver and the time that has passed .
Which function best represents the relationship shown in the graph ?
A. y = 10x - 15
B. y = 2x - 15
С. y = - 10x - 15
D.y=-15x-10
Answer:
C
Step-by-step explanation:
Glad I could help!
Answer:
c
Step-by-step explanation:
rise/run
-20/2=-10 for the slope
what is 35 percent of 90
find the slope of the line please help!
I NEED ANSWER ASAP PLEASE WITH WORK PLEASE AND TY!!!!!! In the image the question is 32!! What is the factored form of x2 + 12x - 64?
A (x-4)(x + 16)
B. (x-2)(x + 32)
C. (x + 4)(x - 16)
D. (x-6)(x + 18)
Answer:
A) (x-4)(x+16)
Step-by-step explanation:
\(x^2+12x-64\\=x^2-4x+16x-64\\=x(x-4)+16(x-4)\\=(x+16)(x-4)\)
colleen is searching online for airline tickets. Two weeks ago, the cost to fly from boston to hartford was $200. now its cost $340. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
Answer:
A) 70%
B) 95%
Step-by-step explanation:
A) $200 to $340
Increase = $340 - $200 = $140
Percentage of increase = $140/$200 * 100% = 70%
B) Additional $50
Increase = $140 + $50 = $190
Percentage of increase = $190/$200 * 100% = 95%
Given 3 + 7 + 11 + 15 + … find S20
Answer:
Hi
Please mark brainliest ❣️
2w^3 - 6w^3 what is the sum or difference?
Answer:
-4w^3
Step-by-step explanation:
Can i get help on these
Please notice that #1 there is boxes on them please dont count those or just dont mind them there not related
and number 2 is not answered yet it just shows that.
The expression that is similar to \(\frac{2^{3} . 2^{4} }{2^{12} }\) is \(\frac{1}{2^{5} }\)
What is indices?Index (indices) in Maths is the power or exponent which is raised to a number or a variable. For example, in number \(2^{4}\), 4 is the index of 2. The plural form of index is indices. In algebra, we come across constants and variables. The constant is a value which cannot be changed.
In the expression \(\frac{2^{3} . 2^{4} }{2^{12} }\) all the indices have a common base 2
From numerator \(2^{3}\) x \(2^{4}\) = \(2^{3 + 4}\) which \(2^{7}\)
so since the base at the numerator is same as that at the denominator we subtract their exponents
so that we have,
\(2^{7 - 12}\) = \(2^{-5}\)
which can further be written as \(\frac{1}{2^{5} }\)
In conclusion the simplified form of the expression is \(\frac{1}{2^{5} }\)
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The functionſ is defined by f(x) = x.
Write down the expression for h (x).
Answer:
h(x) = |x + 4| - 2
Step-by-step explanation:
Translation of functions:
- 4 on the x-axis ⇒ |x + 4|
- 2 on the y-axis ⇒ -2
Complete the table by writing an equivalent expression in each row.
Factored
Expanded
what is the decimal rounded to the nearest thousand of 369/460
Answer:
Step-by-step explanation:the answer is 0.8020
Help if anyone can mathematics 10th grade
Answer:
The answer is sin inverse 3/4
Step-by-step explanation:
sinx⁰=BC/AB
sinx⁰=30/40
sinx⁰=3/4
x⁰ = sin^-1(3/4)
Calculate the net profit margin for boots sold for $80 that have a cost of $30 cost of goods sold and 20% operating expenses
The net profit margin for the boots is 42.5%.
How to calculate the net profit margin?Net profit margin is the measure of how much profit is generated as a percentage of revenue. It is the ratio of net profits to revenues.
Revenue from selling the boots is $80.
Total expenses = cost + operating expenses
The cost is $30, and the operating expenses is 20% of the revenue. That is:
2/100 * $80 = $16.
Total expenses = $30 + $16 = $46
net profit = $80 - $46 = $34
Net profit margin = (Net profit / Revenue) * 100
= (34 / 80) * 100
= 42.5%
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What is the equation for this word problem?:
Salma has 18 cars available to rent.
Last C be the number of cars she would have left after renting R of them.
Help!!!
Answer:
equation: C = 15 - R
C = 15 - 7
C = 8
Step-by-step explanation:
Okay first of all stan the karl pfp
The sum of the number and three times its reciprocal is 79/10. Find the
number.
hi
so x + 3 (-x) = 79/10
x-3x = 79/10
-2x = 79/10
x = 79/10 / -2
X = 79/ 10 * -1/2
x = - 79/20
x = - 3.95
Select the equations of the line that goes through the point 6,-2 and is perpindicular to the line y+2=-2/5(x-10) .
A. y=-2/5x+2
B. y=5/2x-17
C. 5x-2y=34
D. 2x+5y=2
E. y+2=-2/5(x-6)
F. y+2=5/2(x-6)
y + 2 = 5/2 (x - 6) ; 5x-2y=34 ; y=5/2x-17 is the equations of the line that goes through the point (6,-2) and is perpendicular to the line y+2=-2/5(x-10), Hence the correct options are B, C and F.
What is equation of the line?The standard forms of the equation of a line are:
Slope-intercept form:
y = mx + c
Where m indicates the slope of the line and c is the y-intercept
Intercept form:
x/a + y/b = 1
General form of the equation of the straight line, i.e. Ax+By+C = 0
x/(-C/A) + y/(-C/B) = 1
where a = -C/A and b = – C/B
Normal form:
The equation of the line whose length of the normal from the origin is p and the angle made by the normal with the positive x-axis is given by α is given by:
x cos α+y sin α = p
Given,
Point = (6,-2) = (x2,y2)
Equation of line = y+2=-2/5(x-10)
General equation of the line = y - y1 = m ( x-x1 )
After comparing we get,
Slope of the given line = -2/5
As we know both the lines are perpendicular to each other so, product of their slopes must be equal to -1.
m1 × m2 = -1
-2/5 × m2 = -1
We get m2 = 5/2
So the equation of the line having slope 5/2 and passing through (6,-2) is:
y - y2 = m2 ( x-x2 )
y -(-2) = 5/2 (x - 6)
y + 2 = 5/2 (x - 6)
Hence, we get equation of the line as y + 2 = 5/2 (x - 6) .
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I’ll give brainliest Write an inequality that represents this situation below.
Your suitcase for vacation will fit at most 11 outfits you already have 5 packed
Answer:
Let x be the number of additional outfits.
5 + x < 11