Answer:
Super = 20 + 10x
Fance = 60 + 2x
Step-by-step explanation:
→ Start with the set fee for both
Super = 20 +
Fancy = 60 +
→ Assign a new variable to denote hours
x
→ Complete
Super = 20 + 10x
Fance = 60 + 2x
What two different stores offer a sale on the same item, but one offers a coupon savings and the other offers a percentage-off discount? How can you tell which offer is better?
Answer:
Personally, I think it depends on the amount of the product you’re buying. If the product is expensive, you should go the store with a percentage-off discount. If the product is not expensive, you should go to the store with coupon savings.
Step-by-step explanation:
For example, if you’re buying a $5 toy with a $1 coupon and 10% off, you should chose the coupon. Because if you chose the discount, it doesn’t change a lot of things. However, if you’re buying a million dollar airplane(just kidding), then you should definitely chose the discount. Because a million dollar minus 1 changes nothing. But a 10% discount can decrease the cost by 1 hundred thousand! Isn’t that surprising? Hope you understand it.
What is each expression written as a single logarithm?
a. log₄ 5 x+log₄3 x
If the expression is log₄ 5x+log₄3x, then the expression in single logarithm form looks like [tex]log_{4} 15x^{2}[/tex].
Given that the expression is log₄ 5x+log₄3x.
We have to express the expression in single logarithm.
Product property of logarithm says that the logarithm of a product is equal to a sum of logarithms. Because logs are exponents which we have to multiply like bases, we can add the exponents.
The expression is log₄ 5x+log₄3x.
log₄ 5x+log₄3x=[tex]log_{4} 15x^{2}[/tex] (We are not required to change the base)
Hence if the expression is log₄ 5x+log₄3x, then the expression in single logarithm form looks like [tex]log_{4} 15x^{2}[/tex].
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What is the equation of the line that passes through the point
(−3,−3) and has a slope of 3?
[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{-3})\hspace{10em} \stackrel{slope}{m} ~=~ 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{ 3}(x-\stackrel{x_1}{(-3)}) \implies y +3= 3 (x +3) \\\\\\ y+3=3x+9\implies {\LARGE \begin{array}{llll} y=3x+6 \end{array}}[/tex]
4. What is the difference -4 -(-7) =
What is the least common denominator of 3/4 3/8 and 1/4
Gil traveled 4. 5 miles and continues at a speed of 62. 5 miles per hour. Andy has traveled 29. 5 miles per hour and continues at a speed of 50 miles per hour. If the cars continue at the same speed, how many hours will it take for andy and gill to travel the same number of miles
If Gil traveled 4. 5 miles and continues at a speed of 62.5 miles per hour and Andy has traveled 29.5 miles and continues at a speed of 50 miles per hour, then the number of hours it will take for Andy and Gill to travel the same number of miles is equal to 2.
The number of hours it will take for Andy and Gill to travel the same number of miles can be determined by using an algebraic expression.
An algebraic expression to find the number of hours can be given as,
4.5 + 62.5(x) = 29.5 + 50(x)
Here, x is equal to the number of hours.
Solving to find the value of x,
62.5x - 50x = 29.5 - 4.5
12.5x = 25
x = 25 ÷ 12.5
x = 2
Hence, the number of hours it will take for Andy and Gill to travel the same number of miles is calculated to be 2.
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During the 2006 Olympics a gymnastics receives the following scores: 8.9, 9.2, 9.15, 9.03. What is the gymnasts average score?
The gymnasts average score is 9.07
What is the gymnasts average score?The scores are given as
8.9, 9.2, 9.15, 9.03
The gymnasts average score is calculated using'
Average = Sum/Count
So, we have
Average = (8.9 + 9.2 + 9.15 + 9.03)/4
Evaluate
Average = 9.07
Hence, the gymnasts average score is 9.07
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Tanya bought 8.05 yards of fleece fabric to make costumes for a school play. She needs 1.25 yards of
fabric for each costume. How many costumes can Tanya make with the fabric she bought ( long division )
Answer: 6 costumes
Step-by-step explanation: 8.05 divided by 1.25 would be 6.44, but how can you make 6.44 costumes? The most costumes Tanya can make are 6 costumes for the school play.
Find the indicated number of geometrical mens
[tex]-32 and i[/tex]
The geometric mean between -32 and i is given by:
[tex]\sqrt{-32i}[/tex]
What is the geometric mean?The geometric mean between n values is given by the nth root of the multiplication of these values.
For this problem, we have that:
There are 2 values, -32 and i.The multiplication is -32i.Due to the two values, we take the square root, hence, the geometric mean between -32 and i is given by:
[tex]\sqrt{-32i}[/tex]
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What is the area of a circle if the radius is 19mm
Answer:1133.5 mm²
Step-by-step explanation:
area= πr² where r is the radius
3.14x19²= 1133.5 mm²
The number of calories in an order of waffle fries is 20 more than the number of calories in 6 apples. If the waffle fries have 590 calories, what is the number of calories in 1 apple
1 apple contains a number of times calories = 95
Arithmetic function:In contrast to functions defined for other values, an arithmetic function is any mathematical function defined for integers (..., 3, 2, 1, 0, 1, 2, 3,...) and relies on the qualities of the integer itself as a number (real numbers, complex numbers, or even other functions)
According to the given data:Based on the given conditions, formulate: 20+6 * x = 590
Rearrange unknown terms to the left side of the equation: 6x = 590 - 20
Calculate the sum or difference:6x = 570
Divide both sides of the equation by the coefficient of variable: x = 570/6
Cross out the common factor: x = 95
get the result: x = 95
1 apple contains a number of times calories = 95.
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Describe and correct the error made in solving the equation.
The error is due to different bases of logarithmic value on both sides.
What is logarithmic equation ?In, mathematics a logarithmic equation is inverse of exponential equation. That means, we can easily convert the logarithmic equation into exponential equation and vice versa. The basic form of the logarithm function can be written as [tex]log_{a}x[/tex] .
where, a is the base of function or equation
x = expression
Mathematically, if [tex]a^x = N[/tex] is an exponential function then, this can be converted to logarithmic function as [tex]log_aN = x[/tex].
There are many formulas that are given to us for solving several simple and complex problems based on logarithmic functions and logarithmic equations.
Some important formulas of logarithms :
[tex]log a + log b = log a.b[/tex][tex]log a - log b = log \frac{a}{b}[/tex][tex]log a^x = x loga[/tex][tex]log_aa=1[/tex][tex]log_a1=0[/tex]In the question,
the error is due to different bases on both the sides.
correct solution is:
[tex]log_2x = 2log_39\\log _2x=log_39^ 2\\log_2x=log_33^4\\log_2x=4log_33\\log_2x=4\\x=16[/tex]
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The complete question is :
Describe and correct the error made in solving the equation.
[tex]log_2x = 2log_39\\log _2x=log_39^ 2\\x=9^2\\x=81[/tex]
3.
Evaluate
O-16
16
O-4
O 1
32
-
1
2-2x-3y5
for x = 2 and y = -4.
Answer:
58
Step-by-step explanation:
2-2x-3y5
2-2(2)-3(-4)5
-2+60
58
PLS HELP!
A group of friends wants to go to the amusements part, they have no more than $235 to spend on parking and admission, Parking is $17.50 and tickets cost over $36.25 per person, including tax. Use the drop down menu below to write an inequality representing p, the number of people who can go to the amusement park.
Which inequality ≥ or ≤
then what is Answer
p (Inequality) _____
Answer: The answer is <
Step-by-step explanation:
Really can explain sorry
angle a and angle B are supplementary angles. if M angle a equals 2X +27 and M angle B equals 5X -1 then find the measure of angle a 
The value of the angle A is; ∠A = 74°.
What is meant by the supplementary angles?The term "supplementary angles" refers to a pair of angles which always add up to 180°. These two angles are termed supplements of one another. In other words, because unless Angle 1 + Angle 2 = 180°, angles 1 and 2 are supplementary. Angles 1 and 2 are referred to as "supplements" in this case.Supplementary angles are classified into two types.supplementary angles adjacentNon-adjacent supplementary anglesFrom the stated question;
∠A = 2X +27 and ∠B = 5X -1.
From the property of supplementary angles;
∠A + ∠B = 180
Put the values;
2X +27 + 5X -1 = 180
On simplification;
7X = 154
X = 22
Put the value of X in ∠A = 2X +27.
∠A = 2 x 22 + 27
∠A = 74°.
Therefore, the measure of the angle A is ∠A = 74°.
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A 14 ounce energy drink contains 10 1/2 teaspoons of sugar. How much sugar is in one ounce of the drink
Answer:
1.33
Step-by-step explanation:
14÷10 1/2= 1.33
Draw a scatter plot and find the line of best fit for each set of data. (0,2),(1,4),(2,6.5),(3,8.5),(4,10),(5,12),(6,14)
The scatter plot is shown in attached images and the line of best fit for the data set is y=1.9821x+2.1937.
The given data set is (0,2),(1,4),(2,6.5),(3,8.5),(4,10),(5,12),(6,14).
Plot the points on a coordinate plane.
Calculate the means of the x -values and the y -values.
[tex]\begin{aligned}\bar{X}&=\frac{0+1+2+3+4+5+6}{7}\\ &=\frac{21}{7} \text{ or } 3\\ \bar{Y}&=\frac{2+4+6.5+8.5+10+12+14}{7}\\ &=\frac{57}{7}\text{ or }8.14\end[/tex]
Now, we will calculate the [tex]\sum_{i=1}^{n}(x_{i}-\bar{X})(y_{i}-\bar{Y})[/tex] and [tex]\sum_{i=1}^{n}(x_{i}-\bar{X})^{2}[/tex], we get
[tex]\sum_{i=1}^{n}(x_{i}-\bar{X})^{2}=28[/tex]
and [tex]\sum_{i=1}^{n}(x_{i}-\bar{X})(y_{i}-\bar{Y})=55.5[/tex]
Calculate the slope.
[tex]\begin{aligned}m&=\frac{\sum_{i=1}^{n}(x_{i}-\bar{X})(y_{i}-\bar{Y})}{\sum_{i=1}^{n}(x_{i}-\bar{X})}\\ &=\frac{55.5}{28}\\ &=1.9821\end[/tex]
Calculate the y -intercept.
Use the formula to compute the y -intercept.
[tex]\begin{aligned}b&=\bar{Y}-m\bar{X}\\ &=8.14-(1.9821\times3)\\ &=8.14-5.9463\\ &=2.1937\end[/tex]
Use the slope and y -intercept to form the equation of the line of best fit.
The slope of the line is 1.9821 and the y -intercept is 2.1937 .
Therefore, the equation is y=1.9821x+2.1937 .
Draw the line on the scatter plot.
Hence, the scatter plot is shown in attached image and the line of best fit for given data set (0,2),(1,4),(2,6.5),(3,8.5),(4,10),(5,12),(6,14) is y=1.9821x+2.1937.
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Hello , this is a question on Geometry and I don’t understand how to do this can someone pls help me ?.
Answer:
m∠COD = 83°(I assumed it was somewhere right in-between 80-89 degrees, so I picked 83 as the most logical in between those integers.)
∠COD is an acute angle since it's less than 90°.
I hope this helps you, let me know if you have concerns related to this question and I will help with that.
Evaluate: 50% of 3,000= ?
Answer:
1500
Step-by-step explanation:
imagine 30 / 5 = 15 then add the two zero's after
Answer:
50% of 3,000 is 1500
Step-by-step explanation:
hope this helps!
a diver starts at 5 m and changes -16 m?
The depth that the driver is will be -11 meters
How to illustrate the information?From the information, it was stated that diver starts at 5 m and changes -16 m.
Therefore, it should be noted that the depth that he is will be:
= Starting position + Change
= 5 + -16
= -11
Therefore. the depth that he is will be -11 meters.
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A diver starts at 5 m and changes -16 m. What depth is he now?
Six friends each use a $2-off coupons to buy themselves a movie tickets. They spend a total of $42. What is the price of one movie ticket without the coupon?
The price of one movie ticket without the coupon is $9.
arithmetic operations
Arithmetic operators are used to perform mathematical operations like addition, subtraction, multiplication and division.
...
There are 7 arithmetic operators in Python :
Addition.
Subtraction.
Multiplication.
Division.
Modulus.
Exponentiation.
Floor division.
since they spend a total of $42.
so the price of one movie ticket without the coupon is
⇒ (42+12)/6
⇒54/6
⇒ 9
so the price of one movie ticket will be $9.
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What value of x makes this equation true?
x -3 = x +3
3 9
The value of x from the given linear equation x/3-3=x/9+3 is 27.
What is linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.
Given equation
x/3-3=x/9+3
=> x/3-x/9=3+3
=>(3x-x)/9=6
=>2x/9=6
=> x=9*6/2
x=27.
Therefore, the value of x from the given linear equation is 27.
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There were four hundred fifty-seven employees working in an office building. fifty-two of them left to go have lunch. 204 cars are still in the parking lot. how many emplyees are left in the building
11. Harry ordered 9.0 pizzas. Each pizza costs $13.95. How much does he need to pay?
Question:
11. Harry ordered 9.0 pizzas. Each pizza costs $13.95. How much does he need to pay?Answer:
This is pretty simple, just multiply 9.0 by $13.95, which will give you the answer of $125.55.
* I am not responsible if you get this question wrong, for you are the one who asked the question. *
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If this helped, your welcome! Please know that I might be wrong, and if I am, I am truly sorry for that. But If you would, please make me brainliest.
I hope you have a great rest of your day! If there is an issue with this question, be happy to comment. <3
-niaxfandoms
Harry needs to pay $ 125.55 in total for the 9.0 pizzas he ordered at $ 13.95 each.
To calculate how much Harry needs to pay, multiply the number of pizzas (9.0) by the cost of each pizza ($ 13.95).
Total cost = Number of pizzas × Cost per pizza
Total cost = 9.0 × $ 13.95
To find the product, we can treat 9.0 as a whole number and then multiply:
Total cost = 9 × $ 13.95
Now, calculate the product:
Total cost = $ 125.55
Harry needs to pay $ 125.55 in total for the 9.0 pizzas he ordered at $ 13.95 each.
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what is the common denominator of 3/20 and 9/40 ?
Answer:
The answer is 40.
Step-by-step explanation:
Find the least common multiple (LCM) of the denominators in order to find the least common denominator (LCD).
please help !! choose the right answer i’ll mark the brainliest
Erica went shopping for new clothes for school. She bought a pair of jeans for $35.99 and several shirts for $11.33 each. If x
represents the number of shirts she bought, which of the following equations should be used to find y, the total cost of Erica's
shopping trip?
Answer:
Simplify
x
=
35.99
dollar
11.33
dollar
.
x
=
3.1765225
Step-by-step explanation:
R is between P and T. PR = 3x, RT = 2x + 24 and
PT = 54. Find RT.
P
R
O is the midpoint of EH. Find EH.
Line segments
Based on the information given, the value of line RT is 36
What is a line segment?A line segment can be defined as the part of a straight line bounded by two distinct end point
It also contains every point on the line between its endpoints.
From the information given, we have line PT is a line with segments PR and RT and R is the point between P and T
This can be represented as;
PR + RT = PT
Where;
PR = 3xRT = 2x + 24 PT = 54Substitute into the equation;
3x + 2x + 24 = 54
collect like terms
5x = 54 - 24
5x = 30
Make 'x' the subject of formula
x = 30/ 5
x = 6
But;
RT = 2x + 24
RT = 2(6) + 24
RT = 36
Thus, the value of line RT is 36
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Let f(x)=2 x+5 and g(x)=x²-3 x+2 . Perform each function operation, and then find the domain.
f(x)-2 g(x)
The values for f(x)-2 g(x) = -2x² + 8x - 1
What are the domain of the function f(x)-2 g(x)?Given : f(x)=2 x+5
g(x)=x²-3 x+2
Solution:
2g(x)=2x²-6x+4
f(x)-2 g(x) = 2 x+5 - (2x²-6x+4)
f(x)-2 g(x) = 2 x+5 - 2x² + 6x - 4
f(x)-2 g(x) = -2x² + 8x - 1
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4. Four of the twelve members of the panel were late for
the meeting. What fraction of the members were on
time?
A. 12
B.
4
C. 1
3
D.
2
3
Answer:
3/4 of the members.
Step-by-step explanation:
4/12 simplifies to 3/4