Answer:
5.46
Step-by-step explanation:
precio original = x
0.7(1.3x) = x - 0.54
0.91x - x = -0.54
x = 6
6 + 30% de 6 = 7.8
7.8 - 30% de 7.8 = 5.46
Arturo compró por 6.
Aumentó 30% para 7.80.
Bajó 30% para 5.46.
6 - 5.46 = 0.54
AABC is dilated by a factor of 2 to produce ▲A'B'C'. Which statement is not true? 62⁰ 34 16 A 28° 30
The statement that is not true is (a) A = 74 degrees
How to determine which statement is not true?From the question, we have the following parameters that can be used in our computation:
The dilation of ABC by a scale factor of 2
This means that
Scale factor = 2
The general rule of dilation is that
Corresponding sides are similar i..e they have the same ratioCorresponding angles are equalusing the above as a guide, we have the following:
AC = 2 * 5 = 10
C = 53 degrees
BC = 2 * 3 = 6
A = 37 degrees
Hence, the statement that is not true is (a) A = 74 degrees
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Given negative 7.3 divided by one half, find the quotient.
−14.6
1.825
−3.65
14.6
The value of the quotient expression given as negative 7.3 divided by one half is -14.6
How to determine the quotient?The quotient expression is given as:
negative 7.3 divided by one half
Rewrite the above expression properly, as follows:
-7.3/0.5
Evaluate the quotient
-14.6
Hence, the value of the quotient expression given as negative 7.3 divided by one half is -14.6
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Answer:
-14.6
Step-by-step explanation:
Treat the one half as a fraction.
Then remember that when you divide by a fraction, you need to multiply by the reciprocal of the fraction, so dividing by half is the same as multiplying by 2. Also, negative times positive is negative.
-7.3 / (1/2) = -7.3 × 2/1 = -7.3 × 2 = -14.6
a machine can produce 6 yards of fabric in 2 minutes how much fabric can the machine produce in 2 hours?
Answer:
360 yards in 2 hours
Step-by-step explanation:
6 yards in 2 minutes = 3 yards in 1 minute
2 hours = 120 minutes
3*120
360 yards
Answer the following questions about the given sets.
a. Are the sets equivalent? Explain.
b. Are the sets equal? Explain.
A = {x | XEN and 97 ≤ x ≤ 102}
B = {x | xEN and 96 < x < 103}
The sets A and B are not equal, but they are equivalent.
We have,
The concept used is set notation and comparison.
a)
The sets A and B are equivalent because they contain the same elements, which are real numbers (x) that satisfy the given conditions.
b)
Sets A and B are not equal because the condition in Set A includes endpoints 97 and 102, while the condition in Set B excludes endpoints 96 and 103.
Therefore, the sets have different boundaries and elements.
Thus,
The sets A and B are not equal, but they are equivalent.
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A spinner with 10 equal sized slices has 4 yellow slices, 3 red, and 3 blue slices. Kala spun the dial 1000 times and got the following results.
Kala spun the spinner 1000 times and got the following results:
- Yellow: 400 times
- Red: 300 times
- Blue: 300 times
1. Calculate the amount of sales tax:
- The item costs $350 before tax.
- The sales tax rate is 14%.
- To find the sales tax amount, multiply the cost of the item by the tax rate:
Sales tax = $350 * 0.14 = $49.
2. Determine the total cost of the item including tax:
- Add the sales tax amount to the original cost of the item:
Total cost = $350 + $49 = $399.
3. Analyze the spinner results:
- The spinner has 10 equal-sized slices.
- There are 4 yellow slices, 3 red slices, and 3 blue slices.
- Kala spun the dial 1000 times.
4. Calculate the frequency of each color:
- Yellow: Kala got 400 yellow results out of 1000 spins.
- Red: Kala got 300 red results out of 1000 spins.
- Blue: Kala got 300 blue results out of 1000 spins.
5. Calculate the probability of landing on each color:
- Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.
- Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.
- Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.
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what is the solution to the equation:
5(n - 1/10) = 1/2
a. n= 13/5
b. n= 3/25
c. n= 0
d. n= 1/5
\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)
\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)
\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)
\( \sf \longrightarrow \: \: 100n =20\\ \)
\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)
\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)
Answer:-
Answer:- D) n = ⅕ ✅To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:
Step 1: Distribute the 5 on the left side:
\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)
Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:
\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)
\(\sf 5n = 1 \\\)
Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):
\(\sf \frac{5n}{5} = \frac{1}{5} \\\)
\(\sf n = \frac{1}{5} \\\)
Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
John wants to find the perimeter of a square with side length 2p - 5. Write two expressions that represent the perimeter, including one expression in simplest form.
My first expression that represents the perimeter is...
My second expression in simplest form is...
Answer:
More people died in Auschwitz than the British and American losses of World War Two combined. About 60 million Reichmarks - equivalent to £125m today - was generated for the Nazi state by slave labour at Auschwitz. Nazis at Auschwitz offered some non-Jewish female prisoners the option of 'light work
Step-by-step explanation:
A college surveyed all 3600 of its students and discovered 1360 are not coffee drinkers. What percent of the students do not drink coffee
Answer:
Step-by-step explanation:
37 percent
Answer:
Step-by-step explanation:
25% i think
9) Gabe has a 40¢-off coupon for any kind of popcorn. He can choose
between 16 ounces of Happy Popcorn for $1.39 or 34 ounces of
Popper Popcorn for $2.79. Using the coupon, which brand of
popcorn is the better buy per ounce?
Answer:
Per ounce better buy is Happy popcorn.
Step-by-step explanation:
Given that:
Happy popcorn price for 16 ounces = $1.39
Popper popcorn price for 34 ounces = $2.79
Discount coupon present with Gabe = 40 ¢ = $0.40
To find:
Which brand is the better buy per ounce?
Solution:
First of all, let us calculate the price that Gabe has to pay after the discount coupon being applied.
Price for 16 ounces of Happy popcorn after discount = $1.29 - $0.40 = $0.99
Price for 1 ounce of Happy popcorn after discount = \(\frac{\$0.99}{16}\) = $0.062
Price for 34 ounces of Popper popcorn after discount = $2.79 - $0.40 = $2.39
Price for 1 ounce of Popper popcorn after discount = \(\frac{\$2.39}{34}\) = $0.070
Clearly, per ounce price of Happy popcorn is lesser than that of Popper popcorn.
Therefore per ounce better buy is Happy popcorn.
it is due today, please help me. If you just want points get out of my question page...
To completely solve the problem, Karim should convert the product back into standard decimal notation.
We cannot directly apply the product of powers property because the binomial is not raised to a power itself.
Miscellaneous problem(1) To convert a number from scientific notation to standard decimal notation, we multiply the coefficient (0.0258) by 10 raised to the power of the exponent (-8).
0.0258 × \(10^{-8\) = 0.0258 × 0.00000001
= 0.000000000000258
(2) The product of powers property states that when you raise a term with an exponent to another exponent, you can simplify it by multiplying the exponents.
In the expression \((3z + y)^3\), we have a binomial term (3z + y) raised to the power of 3. This is not a situation where we can directly apply the product of powers property because the binomial is not raised to a power itself.
To simplify the expression, we need to expand it using the binomial theorem or by applying the concept of binomial expansion.
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Homework part2 need help asap
The key features of the given quadratic functions are listed below.
What is the graph of a quadratic function?In Mathematics and Geometry, the graph of any quadratic function would always form a parabolic curve because it is a u-shaped. Based on the first quadratic function, we can logically deduce that the graph is an upward parabola because the coefficient of x² is positive and the value of "a" is greater than zero (0) i.e 3 > 0.
For the quadratic function y = 3x² - 5, the key features are as follows;
Axis of symmetry: x = 0.
Vertex: (0, -5).
Domain: [-∞, ∞]
Range: [-5, ∞]
For the quadratic function y = -2x² + 12x - 15, the key features are as follows;
Axis of symmetry: x = 3.
Vertex: (3, 3).
Domain: [-∞, ∞]
Range: [-∞, 3]
For the quadratic function y = -x² + 1, the key features are as follows;
Axis of symmetry: x = 0.
Vertex: (0, 1).
Domain: [-∞, ∞]
Range: [-∞, 1]
For the quadratic function y = 2x² - 16x + 30, the key features are as follows;
Axis of symmetry: x = 4.
Vertex: (4, -2).
Domain: [-∞, ∞]
Range: [-2, ∞]
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HELP PLEASE I’m having troubles!!!
1. The velocity at time t , v(t) = (18t² + 3 ) m/s
2. The velocity at time t = 3 seconds = 165 m/s
3. The acceleration at time t, a(t) =( 36t )m/s²
4. The acceleration at time t = 3 seconds = 108 m/s²
What is instateanou velocity and acceleration?The quantity that tells us how fast an object is moving anywhere along its path is the instantaneous velocity.
Instantaneous acceleration is defined as the ratio of change in velocity during a given time interval such that the time interval goes to zero.
1. s(t) = 6t³ + 3t +9
to find the velocity at time t, we differentiate s(t)
= 18t² + 3
2. at t = 3s
= 18(3)² +3
= 165 m/s²
3. v(t) = 18t² + 3
to get the acceleration at time t, we differentiate v(t)
= 36t
4. when t = 3
a = 36 × 3
= 108 m/s²
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two rectangular prisms, m and n, are mathematically similar. The volumes of m and n are 17cm^3 and 136cm^3, respectively. The height of N is 18 cm. Find the corresponding height of m.
The corresponding height of similar rectangular prism m is 9 centimeter.
Given that, the volume of rectangular prism m is 17 cm³ and the volume of rectangular prism n is 136 cm³.
If two solids are similar, then the ratio of their volumes is equal to the cube of the ratio of their corresponding linear measures.
The height of n is 18 cm.
Here, m³/n³ = 17/136
m³/18³ = 17/136
m³/18³ = 17/136
(m/18)³ = 1/8
(m/18)³ = (1/2)³
m/18 = 1/2
m=9 cm
Therefore, the corresponding height of similar rectangular prism m is 9 centimeter.
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Devi invested a principal of $2750 in her bank account with an interest rate of 1.5%. How much simple interest did she earn in 3 years?
I need help with #4 and #5
Answer:
Step-by-step explanation:
Please help I don’t understand this question plz step by step so I can understand it
9514 1404 393
Answer:
x = 16
Step-by-step explanation:
"Solve algebraically" means "solve it using the rules of algebra." You could also solve it by guessing, or by graphing, or by submitting the equation to a machine solver (calculator, app, or web site).
__
To solve for x, undo what has been done to x. The expression on the right shows that x has 2 added, and the sum is divided by 3. We "undo" these operations in reverse order.
undo divide by 3
Multiplication is the inverse operation for division, so we want to multiply both sides of the equation by 3:
3(6) = 3(x +2)/3
18 = x +2
undo add 2
Subtraction is the inverse operation for addition, so we want to subtract 2 from both sides of the equation:
18 -2 = x +2 -2
16 = x
The value of x that makes this equation true is x = 16.
What is this missing angle?
What is the greatest whole number that rounds to 2800 when rounded to the nearest hundred? The least whole number? What is the greatest whole number?
add me on fortnite IClapYsn
Answer:
The greatest whole number: 2799
The least whole number: 2750
Step-by-step explanation:
I just went by the rule five or more round-up.
Emissions of sulfur dioxide by industry set off chemical changes in the atmosphere that result in "acid rain".
The acidity of liquids is measured by pH on a scale of 0 to 14. Distilled water has pH 7.0, and lower pH values indicate acidity.
Normal rain is somewhat acidic, so "acid rain" is sometimes defined as rainfall with a pH below 5.0.
The pH of rain at one location varies among rainy days according to a Normal distribution with mean 5.43 and standard
deviations 0.54.
What proportion of rainy days have rainfall with pH below 5.0? Use software or Table A to find the answer.
(Enter your answer rounded to four decimal places.)
Using the normal distribution, it is found that 0.2119 = 21.19% of rainy days have rainfall with pH below 5.0.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
\(\mu = 5.43, \sigma = 0.54\)
The proportion of rainy days have rainfall with pH below 5.0 is the p-value of Z when X = 5, hence:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{5 - 5.43}{0.54}\)
Z = -0.8
Z = -0.8 has a p-value of 0.2119.
0.2119 = 21.19% of rainy days have rainfall with pH below 5.0.
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Consider the system:
y = 3x + 5
y = ax + b
What values for a and b make the system
inconsistent? What values for a and b make the
system consistent and dependent? Explain.
Answer:
Step-by-step explanation:
In this problem, we have the following linear equations:
y=3x+5
y=ax+b
We know that a linear equation is an equation for a line. In a system of linear equations, two or more equations work together.
1. What values for a and b make the system inconsistent?
A system is inconsistent if and only if the lines are parallel in which case the system has no solution. This is illustrated in the first Figure bellow. Two lines are parallel if they share the same slope. So, the system is inconsistent for:
a=3
for any value of b
2. What values for a and b make the system consistent and dependent?
A system is consistent if and only if the lines are the same in which case the system has infinitely many solutions. This is illustrated in the second Figure bellow. So, the system is consistent and dependent for:
a=3 and b=5
Answer:
When a = 3 and b ≠ 5, the system will be inconsistent because the lines will be parallel. When a = 3 and b = 5, the system will be consistent and dependent because they represent the same line.
Step-by-step explanation:
Which of the following functions has a graph that passes through the origin? Select all that apply.
A. power; y equals x superscript n baseline
B. root; y equals Root Index n Start Root x End Root
C. reciprocal; y equals Start Fraction 1 over x End Fraction
D. exponential; y equals b superscript x baseline
Answer: a and b
power and root
Can anyone help me with this? I'll mark brainliest.
Answer:
-3b^4/ 65
Step-by-step explanation:
-0.2a^3b^6 ÷ 4 1/3 a^3b^2 -0.2 = 2/10 = 1/5; 4 1/3 = 13//3
-1/5a^3b^6 ÷ 13/3 a^3b^2
-1(a^3b^6)/5 ÷ 13a^3b^2/3
-1(a^3b^6)/5 × 3/13a^3b^2
-a^3b^6 × 3 reduce
5 13a^3b^2
= -b^4 × 3
5 × 13
= -3b^4
65
100 students are interviewed to see which of biology, chemistry or physics they prefer. 55 of the students are girls. 25 of the girls like biology best. 27 of the boys prefer physics. 23 out of the 29 who prefer chemistry are girls. What percentage of the students prefer biology?
Using percentages we know that 62% or 62 students out of 100 students prefer biology.
What are percentages?In mathematics, a value or ratio that can be expressed as a fraction of 100 is known as a percentage.
When determining a percentage of a number, we should first divide it by 100 before multiplying the result by 100.
Thus, the proportion refers to a component per 100.
The word percent denotes a percentage of 100. It is represented by the symbol "%."
So, according to the given situation:
34 females enjoy biology
Do boys enjoy biology?
It is 34%≤
Then,
27% favor chemistry
10% favor physics.
The calculation would be:
27 + 11 = 38
100 - 38 = 62
Therefore, using percentages we know that 62% or 62 students out of 100 students prefer biology.
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Correct question:
100 students are interviewed to see which of biology, chemistry or physics they prefer.72 of the students are girls. 34 of the girls like biology best. 11 of the boys prefer physics. 24 out of the 27 who prefer chemistry are girls. What percentage of the students prefer biology?
Raj wants to get a tropical fish tank. The pet store owner tells him that he needs a tank that has a total volume equal to 80 ounces plus 4 ounces for each fish.
Which model shows two expressions for the total volume of the tank that will hold f fish?
A. 2(2e + 4f + 10g)
B. 80(e + f + g)
C. 2(2e + 2f + 5g)
D. 2(e + 2f + 5g)
Answer:
A. 2(2e + 4f + 10g)
Step-by-step explanation:
what is the z-score of 15?
Percentile 15
z-Score -1.036
Consider the following vectors in component form.
→u=⟨3.2,2.5⟩
→v=⟨−6.3,−5.9⟩
→w=⟨−0.2,0.9⟩
→z=⟨11,−3⟩
Represent each of the following resultant vectors in component form. (Each answer should be in the form "< #, #>".) →u+→v=
→v+→w=
→u+→z=
→w+→z+→u=
Answer:
Cartesian Coordinate System
• Also called
rectangular coordinate
system
• x- and y- axes intersect
at the origin
• Points are labeled (x,y)
Polar Coordinate System
– Origin and reference
line are noted
– Point is distance r from
the origin in the
direction of angle θ,
ccw from reference
line
– Points are labeled (r,θ)
Cartesian to Polar Coordinates
• r is the hypotenuse and θ
an angle
θ must be ccw from
positive x axis for these
equations to be vali
Step-by-step explanation:
Identify which equations have one solution, infinitely many solutions, or no solution.3u+40+2+ = 60-30-u2.2z+3z = 4.5–3.2 $$+$+fr = 12.3y+3.2–y=2.1+1.3y+1.1 5+3+s=ſr 20+49 = 32–2rNo SolutionOne SolutionInfinitely Many Solutions
Answer:
No Solution: Top- left, Top, Right
One Solution: Top - middle, Bottom -Middle, Bottom - right.
Infinitely Many solutions: Bottom- left,
Explanation:
If an equation has one solution, then the left-hand side of the equation does not equal the right-hand side.
If an equation has no solution then the slopes are the same for right and left equations; however, the intercepts are not the same. For example 3x -3 = 3x -5 has no solutions.
If an equation has infinitely many solutions, then the equation on the right is equal to the equation on the left. For example, 4x +5 = 2x + 2x + 5 which implies to 4x + 5 = 4x + 5 and therefore, it has infinitely many solutions.
With this knowledge in mind, we simplify each of the equations given.
For example, for the equation on the Top- left
\(3u+40+2u=6u-3-u\)Simplifying both sides (adding like terms ) gives
\(5u+40=5u-3\)The expressions on both sides of the equality sign have the same slopes but different y-intercepts; therefore, this equation has no solutions - when graphed lines 5u + 40 and 5u - 3 will never intersect.
The same goes for other equations, and in simplifying them we get the answers:
No Solution: Top- left, Top, Right
One Solution: Top - middle, Bottom -Middle, Bottom - Right.
Infinitely Many solutions: Bottom- left,
Sophia earned $18 for working 2 1/4 hours. How much did she earn per hour?
Answer:
It is price between 1~100 lol
Step-by-step explanation:
❤✔
PLEASE HELP ME MAKE SURE YOUR ANSWER IS RIGHT BEFORE ANSWERING
Answer:
Always. Always.
Step-by-step explanation:
All circles conform to the same equations such as using pie to calculate circumference. Unlike a rectangle, for example, all ratios used in a circle are the same.
Help asap . and i will give brainliest
Answer:
b and c
Step-by-step explanation: