Answer:
original price was $60
Step-by-step explanation:
85% x 60 dollars = 51 dollars
Answer:
$60.00
Step-by-step explanation:
15 percent off 60.00 is 51.00
The difference is 9.00
in the year 2002 Andrew was on vacation for 7 months out of the year. What percent of the year did Andrew vacation?
Answer:
2009
Step-by-step explanation:
2002+7
=2009
Answer:
58.3%
Step-by-step explanation:
Okay, so we know that there are 12 months in a year, and so we need to find what percent 7 is out of 12, so we divide:
7 ÷ 12 = 0.583
0.583 x 100 = 58.3
So, Andrew was on vacation for 58.3% of the year
EXPERT NEEDED I NEED THIS DONE ASAP RIGHT NOW!!!
10 POINTS!!!
Answer: It would look like this, and your equation is y = 0.5x + 0 or just y = 0.5x, you are supposed to connect the dots, as it is a linear equation with a continuous run
Step-by-step explanation:
I hope this helps!
if a flat screen television is a rectangle with a 53-invh diagonal and a width of 45 inches what is the height of the screen?
Draw a picture the in solve for the missing side.
The height of the screen will be;
⇒ h = 28 inches
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
A flat screen television is a rectangle with a 53-invh diagonal and a width of 45 inches.
Here,
The diagonal of the screen television = 53 inches
And, The width of the screen television = 45 inches
Let the height of the television = h
So, By the Pythagoras theorem, we get;
⇒ AC² = AD² + DC²
Where, AC = Diagonal of television.
AD = Height of the television
DC = Width of the television.
Substitute all the values, we get;
⇒ 53² = h² + 45²
⇒ 2809 = h² + 2025
⇒ 2809 -2025 = h²
⇒ h² = 784
⇒ h = √784
⇒ h = 28 inches
Thus, The height of the screen = 28 inches
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That’s what i’ve done so far
Answer:
• for x
\({ \tt{(4x + 1) + 2(x + 5) = 20}} \\ { \tt{4x + 1 + 2x + 10 = 20}} \\ { \tt{6x + 11 = 20}} \\ { \tt{6x = 20 - 11}} \\{ \tt{6x = 9}} \\{ \boxed { \tt{x = \frac{3}{2} = 1.5 }}}\)
• for A:
\({ \tt{2x + 4 = A}} \\ { \tt{A = 2( \frac{3}{2}) + 4 }} \\ { \tt{A = 3 + 4}} \\ { \boxed{ \tt{A = 7}}}\)
After crossing a bridge bill drives at a constant speed.please explain how you got this answer also
Based on the calculations, the slope of this line is equal to 50.
What is a slope?The slope of a line refers to the gradient of a line and it can be used to describe both the ratio, direction and steepness of an equation of a straight line.
How to calculate the slope of a line graph?Since the line passes through two (2) points, the slope of this line would be calculated by using this formula;
\(Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)
Substituting the given parameters into the formula, we have;
Slope = (100 - 0)/(2 - 0)
Slope = 100/2
Slope = 50.
Based on the graph, we can deduce that the distance for each hour increases by 50 miles since Bill crossed the bridge.
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could someone please help and fast
Answer:
x=48 degrees
Step-by-step explanation:
hope this helps :D
Answer:
x=162°
Step-by-step explanation:
interior angle of B= 180-75= 105°
interior angle of E=180-123=57°
105+57=162°
x=162°
the coordinates of three corners of a square are (1, 7), (5, 3), and (9, 7). what are the coordinates of the fourth corner of the square?
The coordinates of the fourth corner are (x, y) = (5, 11)
The coordinates of a square are (1,7), (5,3), and (9,7)
Let's assume the four vertices of the square be A(1,7), B(5,3), C(9,7), and D(x,y).
Now coordinates of vertices D need to be found. For that use the following property of a square:
Diagonal squares bisect each other.
Since diagonal AC and BD bisect each other at point O(p,q). Therefore O is the mid-point of both AC and BD.
midpoint=(x1+x2/2,y1+y2/2)
Now since O is the mid-point of AC. Therefore,
\(O(p,q)=(\frac{1+9}{2} ,\frac{7+7}{2} )\)
Also since O is the mid-point of BD. Therefore,
\(O(p,q)=(\frac{5+x}{2} ,\frac{3+y}{2} )\\\\= > (5,7)=(\frac{5+x}{2} ,\frac{3+y}{2} )\\\)
\(\frac{5+x}{2} =5,\frac{3+y}{2}=7\\\)
5+x=10,3+y=14
x=5,y=11
Thus coordinates of the fourth corner are (5,11)
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The fourth quadrant of the square has the following coordinates: (5,11).
The three points of a square have the following coordinates: (1, 7), (5, 3), & (9, 7).
Rectangle ABCD:
A: (1,7) (left corner)
B: (5,3) (bottom corner)
C: (9,7) (right corner)
AB is 4 up and 4 left
BC is 4 up and 4 right.
The result is that the center of the square is at a 45 ° angle (5,7).
The four locations are situated on lines that are perpendicular to the x & y axes & pass through the center, four units away (5,7).
The omitted point, shown by the letter D, is the top corner.
It will be at X = 5 since it ought to have the same X position as point B. Given that it is 4 units higher than (5,7), its y coordinate is 7 + 4 = 11.
Consequently, the omitted position is at (5,11).
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which expression represents 5/8 pls help I'm doing a test
Answer:
The answer is 5 divided by 8, or answer A.
Answer:
Answer A, because 5 divided by 8 is the same as 5/8
Step-by-step explanation:
A Web music store offers two versions of a popular song. The size of the standard version is 2.5 megabytes (MB). The size of the high-quality version is 4.5 MB. Yesterday, the high-quality version was downloaded three times as often as the standard version. The total size downloaded for the two versions was 3840 MB. How many downloads of the standard version were there?
The total size downloaded for both versions was 3840 MB.
What is number?Number is a mathematical object used to count level and measure it is the fundamental concept in mathematics and used in many different way number can be used to represent anything from quantities of object to ideas and concept additionally number are used to describe relationship between different object or concept number are also used to represent position in space as well as represent the time graph of table.
Since the size of the high-quality version was 4.5 MB, the total size downloaded for the high-quality version was 4.5 MB x 3 = 13.5 MB. Therefore, the total size downloaded for the standard version was 3840 MB - 13.5 MB = 3826.5 MB. Since the size of the standard version was 2.5 MB, the number of downloads for the standard version was 3826.5 MB / 2.5 MB = 1530.6. Rounding to the nearest whole number, the number of downloads for the standard version was 1531.
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Which equation is correct for this
Answer:
the first equation
Step-by-step explanation:
if you input the values of x in the first equation, you will get the value of y
Answer:
y = 3x
Step-by-step explanation:
Hope this helps
a scientist is studying bacteria whose cell population doubles at constant intervals, at which times each cell in the population divides simultaneously. four hours from now, immediately after the population doubles, the scientist will destroy the entire sample. how many cells will the population contain when the bacteria is destroyed?
Since the cell population doubles at constant intervals, we can use the formula for exponential growth: N = N0 * 2^(t/k), where N0 is the initial population, t is the time elapsed, and k is the doubling time.
Since we are told that the population will double four hours from now, and since we are not given the initial population or the doubling time, we cannot determine the final population when the bacteria will be destroyed.
As the division two hours ago and the division just now, the population quadrupled that is two doubling periods, so each doubling period is about an hour.
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what is equivalent to 16^2x
Given:
\(16^{2x}\)Simplify the expression,
\(16^{2x}=(16^2)^x=256^x=2^{8x}\)Answer: the equivalent expression to given expression is,
\(16^{2x}=2^{8x}\)Which of the following represents the area of a rectangle whose length is 3x + 5 and whose width is x - 2?
03x²-x-10
O 3x² - 10
O3x²+x-10
O 3x² - 11x10
find the sum by adding each term together. use the summation capabilities of a graphing utility to verify your result. 6 k
To find the sum of 6k by adding each term together, we can simply add 6k + 6k + 6k + 6k + 6k + 6k which gives us a total of 36k.
To verify this result using the summation capabilities of a graphing utility, we can use the sigma notation (Σ) to represent the sum. The sigma notation is defined as Σ6k where k starts at 1 and goes up to 6. This means we are adding 6k, six times.
To input this into a graphing utility, we can use the summation feature. For example, on a TI-84 calculator, we can press the "Math" button, select "1:sum(", and enter the expression "6k" followed by a comma and then the values of k that we want to sum from (1) and to (6). This gives us the result of 36k, which matches our previous calculation.
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the purchasing agent at a local hardware store noticed a sale on hammers. the original price of the hammers was $12 each. with the discount, he could get each hammer for $9.50. what percentage was the discount (rounded to nearest whole percentage)?
The percentage discount on the hammers is about 21%.
The discount is the difference between the original price and the discounted price.
Discount = $12 - $9.50
subtract the numbers
= $2.50
To find the percentage discount, we divide the discount by the original price and multiply by 100
Percentage discount = ( Discount / Original price ) x 100
Substitute the values in the equation and find the percentage discount
Percentage discount = ( $2.50 / $12 ) x 100
Do the arithmetic operation
Percentage discount = 20.83%
Rounding to the nearest whole percentage, the discount is approximately equal to 21%.
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PLEASE HELP! ITS DUE SOON AND IM STUCK ON THE LASY QUESTION!
4 more than twice the number k is greater than the sum of k and 11
Answer:
2k + 4 > k + 11
Step-by-step explanation:
Keywords:
more - addition
twice - multiplication
greater than - >
sum - addition
4 more than twice the number k
2k + 4
Greater than
>
Sum of k and 11
k + 11
2k + 4 > k + 11
Solve for k if needed.
2k + 4 > k + 11
2k > k + 7
k > 7
Best of Luck!
Convert 37/2 to a mixed fraction
assuming a constant growth factor, by what percent did the population of gotham city grow each year? give at least 3 decimal places.
Assuming a constant growth factor, the population of Gotham City grew by approximately 4.287% each year.
This can be calculated using the formula for exponential growth, which is:
y = a * (1 + r)^t
Where: y = final value of the population
a = initial value of the population
r = annual growth rate expressed as a decimal
t = number of years
For this problem, let's assume that the initial population of Gotham City was 100,000 and that the population grew for 10 years.
Using these values, we can calculate the annual growth rate as follows:
100,000 * (1 + r)^10 = final population
r = (final population / 100,000)^(1/10) - 1
Plugging in a final population of 148,644 (which is a 48.644% increase from the initial population),
r = (148,644 / 100,000)^(1/10) - 1r = 0.04287 (rounded to 5 decimal places)
Therefore, the annual growth rate (or percentage increase) is approximately 4.287% (rounded to 3 decimal places).
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Find m ∠ R . Use the Picture
m∠R is therefore 76 degrees as a triangle's total sides equal 180 degrees.
what is angle ?The degree of rotation between two lines or two planes around a central point is measured by an angle. Typically, it is expressed in radians or degrees. Angles are used in many mathematical and scientific uses, including trigonometry, physics, and engineering, where they are crucial in determining the shape and characteristics of geometric figures. Angles come in four different varieties: acute (less than 90 degrees), right (exactly 90 degrees), oblique (more than 90 degrees), and straight (exactly 180 degrees).
given
Because a triangle's total sides equal 180 degrees, we have:
R, S, and T add up to 180.
Inputting the numbers provided yields:
m∠R + 72 + 32 = 180
Simplifying the equation:
m∠R = 76
m∠R is therefore 76 degrees as a triangle's total sides equal 180 degrees.
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please help i need it
Answer:
The common factors are:
1, 2
The Greatest Common Factor:
GCF = 2
Step-by-step explanation:
The factors of 24 are:
1, 2, 3, 4, 6, 8, 12, 24
The factors of 34 are:
1, 2, 17, 34
The common factors are:
1, 2
The Greatest Common Factor:
GCF = 2
please help i have no idea what im doing!
Answer:
x represents hours of babysitting
y represents hours of music lesson
hours on babysitting: 11
hours on music lessons: 7
Step-by-step explanation:
x+y=18
5x+12y=139
-5(x+y=18)
=-5x-5y=-90
(5x+12y=139) + (-5x-5y=-90)
7y=49
y=7
x+7=18
x=11
What is the slope of a line that passes through (2, 77) and (98, 5)
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Your answer
Answer:
Step-by-step explanation:
slope = (5-77)/(98-2) = -72/96 = -¾
Can someone please help me I really need help please help me thank you
Answer:
The initial value of the computer
Explanation:
The v-intercept of the line is the point when the graph goes through the v-axis. At this point, t=0, meaning no time has yet passed. Since no time has passed, the v equals the original value of the computer at the v-intercept, meaning the answer is the initial value of the computer.
which the following is equivalent to (10a^5b^3) (5a^6b^2)
The expression that is equivalent to the (10a⁵b³) (5a⁶b²) is
(10 × 5) (a⁵⁺⁶)(b³⁺²).
Equivalent expressions:
Equivalent expressions are two or more mathematical expressions that have the same value for all possible values of the variables in the expressions.
If we substitute the same values for the variables in two different expressions, and the values we get for each expression are always the same, then the two expressions are said to be equivalent.
Here we have
=> (10a⁵b³) (5a⁶b²)
Which can be solved as follows
=> (10a⁵b³) (5a⁶b²)
Multiply the coefficients of two terms
=> (10 × 5) (a⁵b³) (a⁶b²)
As we know aˣ × aᵇ = a⁽ˣ⁺ᵇ⁾
=> (10 × 5) (a⁵ × a⁶) (b³ × b²)
=> (10 × 5) (a⁵⁺⁶) (b³⁺²)
Therefore,
The expression that is equivalent to the (10a⁵b³) (5a⁶b²) is
(10 × 5) (a⁵⁺⁶)(b³⁺²).
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Complete Question in picture
What is 86 Inches in Feet?
86 inches are equivalent to 7.17 feet
To convert inches to feet, you can divide the number of inches by 12 (since there are 12 inches in a foot):
86 inches ÷ 12 inches/foot = 7.17 feet
The units of measurement used to measure length or distance are inches and feet. One inch is equivalent to one-twelfth of a foot, while one foot is equal to twelve inches. As a result, you may easily convert feet to inches by multiplying the number of feet by 12. 36 inches, for instance, is equivalent to 3 feet (3 feet x 12 inches/foot).
Divide the number of inches by 12 to convert the measurement to feet. As an illustration, 24 inches (12 inches per foot) equals 2 feet.
Inches and feet are often used to measure an object's height, breadth, and length in the United States.
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An athlete trains for 105 min each day for as many days as possible write an equation that relates the number of days d that the athlete spends training when the athlete trains for 630 min
What time does the clock show?
it is 10:28 right now its what my computer says
Answer:
Quarter to 8....
Step-by-step explanation:
hope it helps
what number should come next in the pattern 1,2,3,5,8
round 77 to the nearest 10
Answer:
80
Step-by-step explanation:
Hope it helps! =D
Answer: 80
Step-by-step explanation: When rounding to the nearest 10, you need to examine the number you are trying to round. If the number has a 1's place that is 4 or lower, you round to 70, but if the 1's position is 5 to 9, you round to 80. In this case, 77 can be rounded to 80, since the 1's place number is between 5 and 9.
Hope this helps! :)
How does enumeration help make the Bill of Rights easier to understand?
Enumeration helps make the Bill of Rights easier to understand by providing clarity, accessibility, protection, and limitation to the rights guaranteed by the Constitution.
Enumeration, or listing specific items or rights, helps make the Bill of Rights easier to understand in several ways:
Clarity: By listing specific rights, enumeration provides clarity and precision in defining the rights protected by the Bill of Rights. This reduces ambiguity and confusion in interpreting the rights guaranteed by the Constitution.
Accessibility: The enumeration of specific rights makes them more accessible to the average person. It provides a clear and concise summary of the rights protected by the Constitution, which is easier to understand than a more general statement of principles.
Protection: Enumeration protects individual rights by making them more specific and concrete. By listing the specific rights that are protected, individuals are better able to understand and assert their rights when they are being violated.
Limitation: Enumeration limits the power of the government by specifically identifying the rights that the government is prohibited from infringing upon. This provides a clear limit on the power of the government and prevents abuses of power.
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