Your family goes out for dinner at their favorite restaurant. The bill totals
$36 without the tip. Your parents want to leave a 20% tip. How much
should they leave for a tip?
Answer:
20 percent of 36 is 7 dollars so youd leave a 7.2 dollar tip plus the amount dinner costs
Step-by-step explanation:
no offense but that dinner seems kinda cheap for a whole family ngl
A box of cereal states that there are 93 calories in a 3/4-cup serving. What is the unit rate for calories per cup? How many calories are there in 2 cups of the cereal?
The unit rate for calories per cup is 124 and 248 calories are there in 2 cups of the cereal.
Let the calories per cup of cereal = x
According to the question,
Calories in 3/4th serving of a cup of cereal = 93
Therefore, x*(3/4) = 93
x = 93*(4/3)
x = 31*4
x = 124
Calories per cup of cereal = 124
Calories in 2 cups of cereal = 124*2
= 248
Hence, calories per cup of cereal i.e. unit rate for calories per cup of cereal is 124 and 248 calories are there in 2 cups of cereal.
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4.1 Determine the number that makes the following statement true. 53 - (a certain number) = 65 The certain number =
Answer: To find the certain number, we need to subtract 53 - 65:
53 - 65 = -12
Therefore, the certain number that makes the statement true is -12.
Step-by-step explanation:
permieter of 2 rectangles is 54 cm.
work out the area of a square
The Area of Square is 81 cm².
let the side of the square which is length for both rectangles be a.
let the width of rectangle be x and y.
So, x+ y= a
sum of perimeters= 54
2 (a +x ) + 2 (a+ y) = 54
2a+ 2x + 2a+ 2y = 54
2a + 2a + 2(x+ y) = 54
4a + 2 (a) = 54
4a + 2a = 54
6a = 54
a= 54/6
a= 9
So, area of square
= 9 x 9
= 81 cm²
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la edad de Ana es la mitad de jose y dentro de 10 años seran dos tercios ..cual es la edad de jose
La edad actual de José es de 30 años.
Para resolver este problema, primero debemos establecer ecuaciones basadas en la información proporcionada. Llamemos "x" a la edad actual de José y "y" a la edad actual de Ana. Según la primera condición, la edad de Ana es la mitad de la edad de José, por lo que podemos escribir la ecuación: y = (1/2)x.
La segunda condición nos dice que dentro de 10 años, sus edades serán dos tercios de sus edades actuales. Esto se puede expresar como: (x + 10) * (2/3) = y + 10.
Reemplazando el valor de y en la segunda ecuación con la primera ecuación, obtenemos: (x + 10) * (2/3) = (1/2)x + 10.
Resolviendo esta ecuación, podemos simplificarla y llegar a: 2(x + 10) = 3[(1/2)x + 10].
Al resolver la ecuación resultante, encontramos que x = 30.
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You are given a line with a slope of -4. What would the slope of a parallel line be?
If a train traveled at 50 meters within 120 seconds, what is its speed?
Answer:
v = 0.416 m/s
Step-by-step explanation:
Give that,
Distance covered by a train, d = 50 m
Time taken, t = 120 s
We need to find the speed of a train. The formula for speed of an object is equal to the total distance covered divided by total time taken. It can be given by :
\(v=\dfrac{d}{t}\\\\v=\dfrac{50\ m}{120\ s}\\\\v=0.416\ m/s\)
So, the speed of a train is 0.416 m/s.
marking brainliest if you are aced+
Answer:
C. No e = h + 2
Step-by-step explanation:
The answer is (No. e = h + 2) because first of all 4 times 2/3 is 6 but 8 multiplied by 2/3 is not 10, So, A is wrong.
B is also wrong because it is basically the same thing as A.
D is not right because 6 - 2 is not 8.
So, the answer is C. No e = h + 2.
Hope this helps! :)
Thomas has $10 to spend on lunch. He decides to buy come chicken sandwiches, which cost $2 each, and one container of orange juice, which cost $1.50. What is the greatest number of chicken sandwiches that Thomas can buy?
18. Find the present value of a deferred annuity of ₱ 30,000.00 at the end of every year for 10 years. The first payment of a mother will be done at the end of the second year, and the money is compounded at 3% annually. a. ₱ 244,354.12 b. ₱ 248,452.51 c. ₱ 278,520.14 d. ₱ 291,245.18
Answer:
₱ 248,452.51
Step-by-step explanation:
₱ 248,452.51
Please provide the answer
The radius of the circle is determined as r = 5.
option B.
What is the radius of the circle?The radius of the circle is determined by applying the general formula for circle equation.
(x - h)² + (y - k)² = r²
where;
h, k is the center of the circle r is the radius of the circlex, y are the coordinates of any point on the circleThe given circle equation;
4x² + 4y² = 100
Simplify the equation by dividing through by 4;
x² + y² = 25
x² + y² = 5²
So from the equation above, the radius of the circle corresponds to 5.
r = 5
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Choose the expression that is equivalent to the expression n − n + n − n.
PLEASE HELP ME SOLVE THIS QUESTION
ln(x^3 / (1 + x))
Answer:
3·ln(x) -ln(1+x)
Step-by-step explanation:
You want to "solve" the expression ln(x³/(1+x)).
Rules of logarithmsThe relevant rules of logarithms are ...
ln(a^b) = b·ln(a)
ln(a/b) = ln(a) -ln(b)
ApplicationThe given log expression can be expanded as ...
\(\ln{\left(\dfrac{x^3}{1+x}\right)}=\ln(x^3)-\ln(1+x)=\boxed{3\ln(x)-\ln(1+x)}\)
Please help solve the following questions using the exponential equation
SOLUTION
We want to solve
\(7^{2x+4}=2^{x-5}\)Taking logarithm of both sides, we have
\(\begin{gathered} \log 7^{2x+4}=\log 2^{x-5} \\ (2x+4)\log 7=(x-5)\log 2 \\ \text{expanding we have } \\ (2x)\log 7+(4)\log 7=(x)\log 2-(5)\log 2 \end{gathered}\)Collecting like terms we have
\(\begin{gathered} (2x)\log 7-(x)\log 2=-(4)\log 7-(5)\log 2 \\ x(2\log 7-\log 2)=-4\log 7-5\log 2 \\ \text{dividing both sides by }(2\log 7-\log 2),\text{ we have } \\ x=\frac{-4\log 7-5\log 2}{2\log 7-\log 2} \end{gathered}\)Hence the solution set expressed in terms of logarithm is
\(x=\frac{-4\log7-5\log2}{2\log7-\log2}\)Using a calculator to obtain a decimal approximation, we have
\(\begin{gathered} x=\frac{-4\log7-5\log2}{2\log7-\log2} \\ x=\frac{-3.3804-1.5051}{1.6902-0.3010} \\ x=\frac{-4.8855}{1.3892} \\ x=-3.51677 \\ x=-3.52 \end{gathered}\)Hence the answer is -3.52 to 2 decimal places
3. The Nutcracker ballet had 6 performances. There were 1,323 tickets sold for
each performance.
What was the total number of tickets sold for all 6 performances?
Step-by-step explanation:
the headline says "college".
What ????
this is a simple multiplication. you have no calculator ?
each one performance had 1323 tickets.
so, 6 of them are
6 × 1323 = 7,938 tickets
that's it. that's all there is to it.
solve the exponential equation for x. 2^9x+2 = 16^5x-2
The value of is 2/11
How to determine the valueTo determine the value, we have;
Index forms are mathematical forms used to represent numbers or values that are too large or too small in more convenient forms.
From the information given, we have the expression written as;
2⁹ˣ+2 = 16⁵ˣ -2
Put all the terms in one base form, we have;
2⁹ˣ + 2¹ = 2²⁰ˣ - 2¹
equate the exponents, we have;
9x + 1 = 20x - 1
collect the like terms, we have;
9x - 20x = -2
-11x = -2
Make 'x' the subject of formula, we have;
x = 2/11
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Evaluate the expression when m=-4
m^2-5m+2
The angle between a chord and a targent is equal to the angle in the alternate segment
that's the diagram above
if <BAD =19°
find <ACB
Answer:
19
Step-by-step explanation:
The angle between a chord and a targent is equal to the angle in the alternate segment
if <BAD =19°
<ACB=19
I need help right now!!!
1. Figure STUV is congruent to Figure KLMN because rigid motions can be used to map Figure STUV onto Figure KLMN.
2. Figure STUV is also similar to Figure KLMN because rigid motions and/or dilations can be used to map Figure STUV onto Figure KLMN. The scale factor is 2.
What does it mean for figures to be congruent?When it is said that two figures are congruent, like the ones shown on the graph, This means that they have the same shape and size.
Similar figures have the same shape, but they may have different sizes and be located in different positions.
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The Price of Pollo
In El Salvador, "Country Chicken" is the most popular fried chicken franchise
in the country. Like most fast-food establishments, they provide a carry-out
service on their menu. You can buy their chicken in several different
quantities: 2, 6, 9, 15, or 21 pieces per box.
Over the years, prices have steadily risen, as things have a way of doing in
many areas of modern life. For example, on July 1, 1993, a box of two
pieces cost 8.35 colones, and on December 31, 1995, that same purchase
would cost you 11.25 colones.
(Note: prices are given in their original Salvadorean currency, colones; $1 U.S
colones.)
Using these two data 'points', you can form a linear equation of the slope-inter
mx + b. The independent variable x is time; the dependent variable y represe
Your task for this problem is to:
1. Find this equation.
2. Use your equation to predict what the price should have been for a 2
July 1, 1999.
Answer:
Hope I helped!~
Step-by-step explanation:
To find the equation of the line, we can use the slope-intercept form of the equation:
y = mx + b
where m is the slope of the line and b is the y-intercept.
Using the two data points given, we can calculate the slope:
m = (11.25 - 8.35) / (1995 - 1993) = 1.95
To find the y-intercept, we can use one of the data points:
8.35 = 1.95(1993) + b
b = -3884.65
So the equation of the line is:
y = 1.95x - 3884.65
To predict the price of a box of two pieces on July 1, 1999, we can substitute x = 6 (since 1999 is 6 years after 1993) into the equation:
y = 1.95(6) - 3884.65
y = 11.7 - 3884.65
y = -3872.95
This gives us a negative price, which obviously does not make sense. It is likely that the price of a box of two pieces was not linearly increasing during this time period, or that there were other factors influencing the price. Therefore, we cannot use this equation to accurately predict the price of a box of two pieces on July 1, 1999.
let x be a real number chosen from the interval [-1,2] and y be a real number chosen from the interval [-2,11, both uniformly at random. what is the probability that x
the probability that x lies in the interval [0, 1] and y lies in the interval [3, 6] is 1/13.
The probability that x lies in the interval [0, 1] and y lies in the interval [3, 6] can be calculated as follows: Since x is uniformly chosen from the interval [-1, 2], the probability that x lies in the interval [0, 1] is the ratio of the length of the interval [0, 1] to the length of the interval [-1, 2]: P(0 ≤ x ≤ 1) = (1 - 0)/(2 - (-1)) = 1/3. Similarly, since y is uniformly chosen from the interval [-2, 11], the probability that y lies in the interval [3, 6] is the ratio of the length of the interval [3, 6] to the length of the interval [-2, 11]: P(3 ≤ y ≤ 6) = (6 - 3)/(11 - (-2)) = 3/13. Since x and y are chosen independently, the probability that both events occur is the product of the individual probabilities: P(0 ≤ x ≤ 1 and 3 ≤ y ≤ 6) = P(0 ≤ x ≤ 1) * P(3 ≤ y ≤ 6) = (1/3) * (3/13) = 1/13.
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Perform the following mathematical operation, and report the answer in scientific notation to the correct number of significant figures.
\( \frac{2.500 \times {10}^{2} }{5.00 \times {10}^{ - 5} } \)
= [?] × 10[?]
(((the answer is not 5 10²))
The simplified Expression of 2.5 x 10² / 5 x \(10^{-5}\) is 5 x \(10^6\).
What are Exponents and Powers?Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.
For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as \(3^4\), where 4 is the exponent and 3 is the base.
Given:
2.5 x 10² / 5 x \(10^{-5}\)
Now, using Exponents and powers
\(a^{-m}\) = 1/ \(a^m\)
So, 2.5 x 10² / 5 x \(10^{-5}\)
= 2.5 /5 x \(10^{2-(-5)}\)
= 25/50 x \(10^{2+5]\)
= 1/2 x \(10^7\)
= 0.5 x \(10^7\)
= 5 x \(10^6\)
Hence, the simplified Expression is 5 x \(10^6\).
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Linear Algebra: Permutation Matrices Let M be the matrix {{0,0,0,1,0}, {0,0,1,0,0}, {0,1,0,0,0}, {0,0,0,0,1}{1,0,0,0,0}}. What is the smallest positive integer n such that M^n is the identity matrix? a. 2. b. 3. c. 4.d. 6.
Multiplying M by any matrix A would return new matrix, B, in which
• the 1st row of B is equal to the 4th row of A,
• the 2nd row of B is equal to the 3rd row of A,
• the 3rd row of B is equal to the 2nd row of A,
• the 4th row of B is equal to the 5th row of A, and
• the 5th row of B is equal to the 1st row of A.
The pattern here is
1 => 4 => 5 => 1
2 => 3 => 2
Let {4, 3, 2, 5, 1} denote the matrix M, where each number refers to the row of the identity matrix, I.
Using this notation, the pattern above gives
M² = {5, 2, 3, 1, 4}
M³ = {1, 3, 2, 4, 5}
M⁴ = {4, 2, 3, 5, 1}
M⁵ = {5, 3, 2, 1, 4}
M⁶ = {1, 2, 3, 4, 5}
so that n = 6.
(Notice that the first cycle has length 3 and the second one has length 2; the minimum n needed here is then LCM(2, 3) = 6.)
4: Find the slope:
(9, -10), (0,8)
Answer:
-2
Step-by-step explanation:
Using the slope formula (y1-y2)/(x1-x2), the slope of the line is (-10-8)/(9-0), which is equal to (-18)/9= -2.
Slope of the given coordinates (9,-10) and (0,8) is -2.
What is slope of the line?In Mathematics, a slope of a line is the change in y coordinate with respect to the change in x coordinate.
The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx.
Hence, the change in y-coordinate with respect to the change in x-coordinate is given by,
m = change in y/change in x = Δy/Δx
Where “m” is the slope of a line.
Given, coordinates of the two points,
(x₁ , y₁) = (9, -10)
(x₂ , y₂) = (0, 8)
slope m = (y₂ - y₁)/(x₂ - x₁)
= (8 - -10)/(0 - 9)
= (8 + 10)/-9
= 18/-9
slope m = -2
Hence, -2 is the slope for given coordinates (9,-10) and (0,8).
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X 6 10 12 y 45 75 90
please help me with this
Answer:
F
Step-by-step explanation:
64x³ = -1
x³ = -1/64
x = ∛-1/∛64
x = -1/4
Answer:
x = - \(\frac{1}{4}\)
Step-by-step explanation:
64x³+1=0
Add 1 to both sides:
64x³=-1
Divide both sides by 64:
x³=-\(\frac{1}{64}\)
Find cubed root of both sides:
x=-\(\sqrt[3]{\frac{1}{64}}\)
Note that \(\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}\) :
x=-\(\frac{\sqrt[3]{1} }{\sqrt[3]{64} }\)
Evaluate:
x = - \(\frac{1}{4}\)
PLEASE ILL GIVE 25 POINTS ANS MARK BRAINIEST IF SOMEONE GIVES ME THE RIGHT ANSWER PLEASE PLEASE PLWASE
Answer:
Radius:3.14
Circumference: 6.28
Step-by-step explanation:
C=2(pi)(r)
replace r with 1
and you get 6.28
R=(pi)(r)^2
Replace r with 1
multiply and you get 3.14
A transponder for a toll bridge costs $17.50. With the transponder, the toll is $5 each time you cross the bridge. The only other option is toll-by-plate, for which the toll is $7.25 each time you cross the bridge with an additional administrative fee of $1.25 for each crossing. How many times would you need to cross the bridge for the costs of the two toll options to be the same?
Answer: you would need to cross the bridge 5 times
Step-by-step explanation:
costing a total of $42.50 for each option.
hope this helps
rename the fraction 2/5 using tenths and hundredths
Answer:
20/50
Step-by-step explanation:
i think
2
¿Cuál de los siguientes causa que un sólido cambie a liquido
Answer:heat
Step-by-step explanation:heat turns solid into liquid