Given : The Total Bill at the Restaurant is $84.99
Given : The Additional Tax is $5.10
⇒ Total Bill Including the Tax is : (84.99 + 5.10) = $90.09
Given : Three Friends decide to evenly split their Bill
⇒ $90.09 should be Divided into 3 Equal Parts
[tex]\mathsf{\implies The\;Amount\;each\;person\;should\;owe\;is = (\frac{90.09}{3})}[/tex]
[tex]\mathsf{\implies The\;Amount\;each\;person\;should\;owe\;is = 30.03\;Dollars}[/tex]
His Friend Calculation is not Reasonable
The friend's calculation of each person owing $45.04 is not reasonable as the correct amount should be $30.03 per person when evenly splitting a bill of $84.99 with an additional $5.10 tax.
To determine whether the friend's calculation of $45.04 each for splitting a bill of $84.99 with an additional $5.10 tax is reasonable, let's calculate the correct amount each person should owe. First, we combine the total bill and tax: $84.99 + $5.10 = $90.09. Then, we divide this total by three, as there are three friends: $90.09 / 3 = $30.03 per person.
The friend's calculation is not reasonable because each person should owe about $30.03, not $45.04. The estimate of $45.04 is significantly higher than the accurate calculation.
What does it mean when it says leave it in terms of pi-3.14....
Hello,
When you are leaving an answer in terms of pi, you are simply leaving the pi symbol in the answer. Here is the symbol: π
- I . A -
In mathematics, 'leave it in terms of pi' means expressing the answer using the symbol π instead of decimal approximation. Pi is an irrational number, so it goes on forever without repeating. To leave an answer in terms of pi, keep π in the expression and perform calculations with it.
Explanation:In mathematics, when it says 'leave it in terms of pi', it means that the answer should be expressed using the symbol π instead of rounding it to a decimal approximation like 3.14. Pi is an irrational number, meaning its decimal representation goes on forever without repeating. To leave an answer in terms of pi, you can keep π in the expression and perform any calculations with it. For example, if calculating the area of a circle, the formula would be A = πr², where r is the radius.
Please help, I'm working on an assignment.
Latoya brought a new rack for her CD collection. She has 977 CDs. Each row of the rack holds 12 CDs. How many rows can she fill? Write the answer as a mixed number.
what is a number n is at least 10
Answer: n≥10
Step-by-step explanation:
The symbol ≥ means “greater than or equal to.” So, n≥10 means “n is greater than or equal to 10,” which basically means “n is at least 10”.
Answer:
n≥10
iready
holp it help
a painter uses 4 gallons of paint to paint each apartment in a building. if the painter has 45 gallons of paint, how many apartments can be painted completely? how much paint will be left over?
Final answer:
The painter can completely paint 11 apartments with 45 gallons of paint and will have 1 gallon of paint left over.
Explanation:
A painter uses 4 gallons of paint for each apartment. With 45 gallons of paint, you would first divide the total gallons of paint by the gallons needed per apartment to determine how many apartments can be painted completely. Since 45 gallons ÷ 4 gallons per apartment equals 11.25, the painter can only completely paint 11 apartments, because you can't partially paint an apartment. The fractional part, .25, represents the leftover paint. To find out how much paint is remaining, you would then multiply the fractional part by the amount of paint used for one apartment, which is 4 gallons. So, 0.25 × 4 gallons equals 1 gallon. Therefore, the painter will have 1 gallon of paint left over after painting 11 apartments.
is 3x + 2x = 3 a function
The given equation is a function. After simplifying, it takes the form y = 3/5x, a simple linear equation. Understanding the behavior of even and odd functions is useful in comprehending this.
Explanation:The given expression, 3x + 2x = 3, needs to be first simplified before determining whether it is a function or not. The simplified expression is 5x = 3, which can be rearranged to the function form y = 3/5x. This is a simple linear equation, indicating a function. In general, an even function times an even function produces an even function, but an odd function times an even function gives an odd function. You can see this in the equations mentioned: x² e-x², x sin x, and xe-x².
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Which of the following items may be a good consideration in selecting a bank?
I. The bank sends a representative to the local mall to promote new applications.
II. Number of ATMs or bank branches near where you live, shop, work, or travel.
III. Knowledge of personal usage habits and needs
Answer:
II and III.
Step-by-step explanation:
Having branches near you is very important! Also knowing what you personally need from a bank is important
Answer:
3
Step-by-step explanation:
In △ABC, CH=33 ft. What is the length of CX¯¯¯¯¯¯ ? Enter your answer in the box. ft A triangle A B C. Side B C is the base. F, G, and H are the midpoints of sides A F, B G, and C H respectively. Midpoints of each side connect to the opposite vertex. A F is the median of line segment B C. B G is the median of line segment A C. C H is the median of line segment A B. Medians intersect at a point labeled X. Single tick marks are on the line segments A H and H B. Double tick marks are on the line segments B F and F C. Triple tick marks are on the line segments A G and G C.
Answer:
The length of CX is 22 ft.
Step-by-step explanation:
Given information: In triangle ABC, F, G, and H are the midpoints of sides BC, CA, and AB respectively.
The medians FA, BG and CH intersect each other at point X.
According to the property of triangle, the intersection point of medians is called centroid and the centroid divides each median in 2:1.
Since X is centroid, therefore points X divides the median CH in 2:1, therefore we can say that CX:XH is 2:1.
It is given that the length of CX is 33.
[tex]CX=\frac{2}{3}CH[/tex]
[tex]CX=\frac{2}{3}\times 33[/tex]
[tex]CX=2\times 11[/tex]
[tex]CX=22[/tex]
Therefore the length of CX is 22 ft.
Answer:
22 ft
Step-by-step explanation:
33-1/3(33)=22
The polygons below are similar. Find the value of x. Polygons ABCD and EFGH are shown. AB equals 6. BC equals 8. CD equals 10. AD equals x. EF equals y. FG equals 6. GH equals z. HE equals 12. 4.5 7.5 12 16
Answer: The value of x = 16 units, y = 4.5 units and z = 7.5 units.
Step-by-step explanation:
Since we have given that
ABCD and EFGH are two similar polygons.
Dimensions of ABCD are as follows :
AB = 6 units
BC = 8 units
AD = x units
CD = 10 units
Dimensions of EFGH are as follows :
EF = y
FG = 6 units
EH = 12 units
GH = z
Since they are similar:
[tex]\dfrac{AB}{EF}=\dfrac{BC}{FG}=\dfrac{CD}{GH}=\dfrac{AD}{EH}\\\\\dfrac{6}{y}=\dfrac{8}{6}=\dfrac{10}z}=\dfrac{x}{12}[/tex]
First we take,
[tex]\dfrac{6}{y}=\dfrac{8}{6}\\\\y=\dfrac{36}{8}\\\\y=4.5\ units[/tex]
similarly,
[tex]\dfrac{8}{6}=\dfrac{10}{z}\\\\z=\dfrac{60}{8}\\\\z=7.5\ units[/tex]
similarly,
[tex]\dfrac{8}{6}=\dfrac{x}{12}\\\\x=\dfrac{96}{6}\\\\x=16\ units[/tex]
Hence, the value of x = 16 units, y = 4.5 units and z = 7.5 units.
Answer:
its not 7.5!!! i just took the test and its wrong!!
Indicate in standard form the equation of the line passing through the given point and having the given slope
R(4,0),m=5
Solve each system by elimination
9) 5x+y=9
10x-7y=-18
Answer:
x=1, y=4
Step-by-step explanation:
5x+y=9
10x-7y=-18
To solve by elimination, we pick a variable to eliminate, or get rid of. I will multiply the first equation by -2 so we can get rid of x
-2( 5x+y)=9 *-2
-10x -2y = -18
Now we add this equation to the second equation
-10x -2y = -18
10x-7y=-18
-------------------------
-9y = -36
Divide each side by -9
-9y/-9 = -36/-9
y =4
We still need to solve for x
5x+y=9
Put in y=4
5x+4 = 9
Subtract 4 from each side
5x +4-4 = 9-4
5x = 5
Divide each side by 5
5x/5 = 5/5
x=1
Answer:
1,4
Step-by-step explanation:
add the equations in order to solve 1st variable, put the value in the other equations in order to solve- math way
Find missing length and reduce to fraction
26/24=x/16
26*2/3=52/3
it takes Zoe 12.5 minutes to swim 20 laps around the pool. what is Zoes’s unit rate
Answer:
The answer is 1.6
Answer:
1.6 minutes/lap
Step-by-step explanation:
Do 20 divided by 12.5 to get 1.6.
Y= -2x-9 in standard form
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
2x + y = -9.
y= -2x-9 is in standard form itself with slope m = -2 and y intercept c as -9.
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let, consider the equation of y = mx+c,
where, m is the slope of line and c is the y - intercepts. So to draw the graph firstly we find the two points to connect the line in which first is y-intercepts by putting x=0 in the given equation.
standard form of linear equation is :
y = mx+c
comparing it with given equation :
y= -2x-9.
m = -2, c = -9
Therefore, y= -2x-9 is in standard form itself with slope m = -2 and y intercept c as -9.
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Use division instead of the images to divide 18 by 4. What is the quotient of the division? What is the remainder?
When 18 is divided by 4, the quotient is 4 and the remainder is 2.
Explanation:The division of 18 by 4, can be performed using long division or mental math. First, understand that 'dividend' is the number being divided (18), 'divisor' is what you divide by (4), 'quotient' is the result of the division and 'remainder' is what is left over.
Step 1: Divide 18 by 4. 4 fits into 18 four times (4 x 4 = 16).
Step 2: Subtract the 16 from 18 to find the remainder. 18 - 16 equals 2.
So, the quotient of 18 divided by 4 is 4 and the remainder is 2.
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If rectangle ABCD is dilated by a scale factor of 1.5 with a center of dilation at vertex A, how does the area of A'B'C'D' compare with the area of ABCD?
Answer:
A’/A = 2.25
Step-by-step explanation:
Let the length and width of ABCD be l and w respectively.
A = lw
=====
For rectangle A’B’C’D’
l’ = 1.5l and w’ = 1.5w
A’ = l’w’
A’ = 1.5l × 1.5 w
A’ = 2.25 lw
=====
A’/A = 2.25lw/(lw) Cancel lw
A’/A = 2.25
The area of the dilated rectangle is 2.25 times that of the original.
Answer:
The answer is "D"
Step-by-step explanation:
A third-grade gym class has 54 students. The gym teacher divides them into 9 groups. She then divides each group into 2 teams. How many students are on each team?
Answer:3
Step-by-step explanation: the reason why it's 3 is because 54 divided by 9 is 6 and 6 divided by 2 is 3
inline skates are on sale for 35% off the regular price
a. What fraction off is this discount?
b. The original price of one pair of inline skates is $124.99. What is
the sale price?
c. A tax of 5% is computed on the sale price. What is the total cost of the inline skates?
We have answered a three-part mathematical question. First, we converted 35% to a fraction, resulting in 7/20. We then calculated the sale price of inline skates by deducting this percentage from the original price to reach $81.24. Finally, we computed a 5% tax on the sales price to find a final total cost of $85.3.
Explanation:This question moves through several concepts in percentage and tax calculation. The first part of the question asks you to express 35% as a fraction, which, when reduced, can be represented as 7/20.
For the second part of the question, in order to calculate the sale price, we need to compute 35% ($43.75) of the original price ($124.99) and deduct this amount from the original price, resulting in a sale price of $81.24.
Lastly, we need to calculate and add a 5% sales tax to the sale price. 5% of $81.24 is $4.06. Adding this to the sale price, we get a total cost of $85.3.
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in class,12 students like to play vollyboll. if 30% of the students in the class like to play volleyball,how many students are in the class?
Answer:
Hope this helps! If you have any questions feel free to ask.
Step-by-step explanation:
To find the total number of students in the class, you can use the given information of the percentage and the number of students who like to play volleyball.
Explanation:To find the total number of students in the class, we can use the information given. It is stated that 30% of the students in the class like to play volleyball, and there are 12 students who like to play volleyball. Let's assume the total number of students in the class is x.
So, we can set up the equation 0.30x = 12 to represent the percentage of students who like to play volleyball. Solving this equation, we get x = 12 / 0.30 = 40. Therefore, there are 40 students in the class.
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What is the answer to linear equation: 5 = 6 - 7c
Answer:
c = 1/7
Step-by-step explanation:
Here we have to solve the linear equation.
We need to find the value of c.
5 = 6 - 7c
Isolate the variable and constants
Add 7c on both sides, we get
7c + 5 = 6 - 7c + 7c
7c + 5 = 6
Subtract 5 from both sides, we get
7c + 5 - 5 = 6 - 5
7c = 1
Dividing both sides by 7, we get
c = 1/7
Thank you.
Working together, it takes two different sized hoses 20 minutes to fill a small swimming pool. If it takes 30 minutes for the larger hose to fill the swimming pool by itself, how long will it take the smaller hose to fill the pool on its own? Do not do any rounding.
Answer:
60 minutes for the larger hose to fill the swimming pool by itself
Step-by-step explanation:
It is given that,
Working together, it takes two different sized hoses 20 minutes to fill a small swimming pool.
takes 30 minutes for the larger hose to fill the swimming pool by itself
Let x be the efficiency to fill the swimming pool by larger hose
and y be the efficiency to fill the swimming pool by larger hose
To find LCM of 20 and 30
LCM (20, 30) = 60
To find the efficiency
Let x be the efficiency to fill the swimming pool by larger hose
and y be the efficiency to fill the swimming pool by larger hose
x = 60/30 =2
x + y = 60 /20 = 3
Therefore efficiency of y = (x + y) - x =3 - 2 = 1
so, time taken to fill the swimming pool by small hose = 60/1 = 60 minutes
Jerry charges $15 for each lawn that he cuts. Depending homework and chores, he has time to cut at most 10 lawns a week. Jerry has determine his fixed cost to be $10 a week and that his profit for a week can be modeled by the function y = 15x − 10. Which BEST describes the domain for this function? A) number of yards Jerry cuts; x ≥ 0 B) number of yards Jerry cuts; x ≤ 10 C) number of yards Jerry cuts; x ≥ 10 D) number of yards Jerry cuts; 0 ≤ x ≤ 10
Answer: D) Number of yards Jerry cuts; 0 ≤ x ≤ 10
Step-by-step explanation:
Here the given function that describes the total profit,
y = 15 x - 10
Where x represents the number of lawns Jerry cut in a week.
But, Depending homework and chores, he has time to cut at most 10 lawns a week.
Thus, x ≤ 10
Also, the number of lawns can not be negative.
Therefore, x ≥ 0
And, the value of x will decide the domain of the function y,
Thus, the domain of the given function is,
0 ≤ x ≤ 10
⇒ Option D is correct.
Answer:
d
Step-by-step explanation:
Please help with this!!!
Answer:
z = 123.9
Step-by-step explanation:
We can use trigonometric functions, because we have a right triangle. We now the adjacent and opposite side of the angle we are interested in, so we can use the tan function.
tan 20 = opposite/ adjacent
tan 20 = 45.1/z
Multiply each side by z
z* tan 20 = 45.1 /z * z
z * tan 20 =45.1
Divide each side by tan 20
z = 45.1 / tan 20
z=123.9112316
To one decimal place,
z = 123.9
PLEASE HELP ASAP 50 POINTS! What correctly identifies the property shown?
(−4.3)+5.4=5.4+(−4.3)
A. Associative property
B. Commutative property
C. Opposite of a sum property
Answer:
Commutative property
Step-by-step explanation:
Hope that helps!
4 to the power of negative n equals 32 then what is n
n=-3
4^ -(-3)= 32
if you get the same bases == 4^-n= 4^3(=32)
so n =-3
in triangle LNM, what is the value of x?
If all sides have the same length, then this is an equilateral triangle. Therefore, the measures of the angles are the same and amount to 60°.
Therefore we have the equations:
7x - 3 = 60 add 3 to both sides
7x = 63 divide both sides by 7
x = 9
----------------
11y + 5 = 60 subtract 5 from both sides
11y = 55 divide both sides by 11
y = 5
Check:
m∠N = (7x - 3)° → m∠N = (7(9) - 3)° = (63 - 3)° = 60°
m∠M = (11y + 5)° → m∠M = (11(5) + 5)° = (55 + 5)° = 60°
CORRECT :)
Answer: x = 9 and y = 5The difference between 8 less than q?
The Difference between expressions '8 less than q' and 'ans' is q - ans - 8.
The phrase '8 less than q' can be expressed as q - 8.
To find the difference between q - 8 and the answer 'ans', you subtract the two expressions: (q - 8) - ans.
This simplifies to q - 8 - ans, or q - ans - 8.
For example, if q = 15 and ans = 5, the difference would be 15 - 5 - 8, which equals 2.
So the difference between '8 less than q' and 'ans' is q - ans - 8.
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The probable question may be:
What is the difference between 8 less than q?
Rod smokes 1 1/2 packs of cigarettes per day. Rod buys cigarettes by the carton. There are ten packs of cigarettes in each carton. If Rod pays $35.80 per carton, how much does it cost him for each day of smoking?
Answer:
It costs Rod $5.37 per day to smoke.
Step-by-step explanation:
If a carton costs 35.80 and there are 10 packs per carton
$35.80 /10 = 3.58 per pack
Rod smokes 1.5 packs per day
1.5 * 3.58 = $5.37
It costs Rod $5.37 per day to smoke.
In the decimal number 0.675, the 7 holds what place value? A. Thousandths B. Ten thousandths C. Hundredths D. Tenths
Answer:
C. Hundredths
Step-by-step explanation:
. tenths hundredths thousandths ten thousandths
. 6 7 5 0
Graph the inequality c ≤ 3. How is the graph of c < 3 different from c ≤ 3?
To graph the inequality c ≤ 3, you draw a solid line at 3 on the number line and shade to the left. For c < 3, you draw a dotted line at 3 on the number line and shade to the left, without including 3.
Explanation:To graph the inequality c ≤ 3, you will draw a line at the value of 3 on the number line and shade the region to the left of the line. This includes the value 3 as well. This is because the inequality includes the symbol ≤, which means 'less than or equal to'.
On the other hand, to graph the inequality c < 3, you will draw a dotted line at the value of 3 on the number line and shade the region to the left of the line. However, this time the value 3 is not included in the solution because the inequality uses the symbol <, which means 'less than'.
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Mable’s cookie recipe calls for 3/4 of a cup of flour. Her mother’s recipe calls for 2/3 as much as Mable’s. How many cups of flour does her mother’s recipe require?
HELPP!!! PLEASE IM TIMED
Answer:
1/2
Step-by-step explanation: