To find the width of a 16-inch laptop screen that is 8 inches tall, we can use the 16:9 aspect ratio typical for screens and calculate that the width is approximately 14.22 inches.
Explanation:Finding the Width of the Laptop Screen
To find out how wide a 16-inch laptop screen is, given that it is 8 inches tall, we can use the Pythagorean theorem assuming the screen has a 16:9 aspect ratio which is typical for laptop screens. To use the Pythagorean theorem, we first need to establish the diagonal (16 inches) as the hypotenuse of a right-angled triangle, with the height and width as the other two sides.
As per the given scale factor for this problem (1/160), it does not seem relevant to finding the width using the Pythagorean theorem. Instead, we can use the aspect ratio to find the width. For a 16:9 aspect ratio:
Height = 9x
Width = 16x
Given the height (8 inches) and assuming it to be 9x:
9x = 8 inches
x = 8 / 9
Now to find the width which is 16x:
Width = 16 * (8 / 9)
Width = 14.222... inches (approximately)
The width of the screen is therefore approximately 14.22 inches.
the area of a triangle
h=8cm
b=14cm
Answer:
56cm^2
Step-by-step explanation:
The area of triangle is found by multiplying height to the base and that divided by two
(h × b)÷2 ➡ (8×14)÷2 = 56
Andre and Elena are reading the same book over the summer.. Andre says he has read 1/5 of the book. Elena says she has read 20 more pages than Andre. If Elena is on page 55, how many pages are in the book?
There are 175 pages in the book.
Step-by-step explanation:
Given,
Pages read by Elena = 55 pages
Let,
x be the number of pages of book.
Pages read by Andre = [tex]\frac{1}{5}\ of\ total\ pages = \frac{1}{5}x[/tex]
As Elena has read 20 more pages than Andre, therefore,
[tex]\frac{1}{5}x+20=55\\\\\frac{1}{5}x=55-20\\\\\frac{1}{5}x=35[/tex]
Multiplying both sides by 5
[tex]5*\frac{1}{5}x=35*5\\\\x=175[/tex]
There are 175 pages in the book.
Keywords: fraction, variable
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Charlie wants to split his bonus of 4,206 so that he will be able to enjoy it throughout the year.how much money should he permit himself to spend the same amount each month
the answer is 350.50, the 4th answer
Jim wants to put a wallpaper border around a rectangular room.The room measures 14 feet by 10 feet. If the wallpaper border comes in stripes that are 20 feet long, how many strips will Jim need?
Answer: He needs 3 stripes.
Final answer:
To cover the perimeter of a 14 feet by 10 feet room, Jim will need 3 strips of wallpaper border as the total perimeter is 48 feet and each wallpaper strip is 20 feet long.
Explanation:
To determine how many strips of wallpaper border Jim will need for his rectangular room, we need to calculate the total perimeter of the room. The formula for the perimeter of a rectangle is:
Perimeter = 2 × (Length + Width)
For Jim's room:
Perimeter = 2 × (14 feet + 10 feet)
Perimeter = 2 × 24 feet
Perimeter = 48 feet
Now, we know each strip of wallpaper is 20 feet long, so we divide the total perimeter by the length of one strip:
Number of strips needed = Total Perimeter ÷ Length of one strip
Number of strips needed = 48 feet ÷ 20 feet
Number of strips needed = 2.4
Since Jim cannot purchase a fraction of a strip, he will need to buy 3 strips of wallpaper border to cover the entire perimeter of his room.
Note: It's assumed that there's no significant wastage when the wallpaper strips are applied, and the strips are used efficiently.
What is the volume of this square pyramid?
384 cm³
288 cm³
192 cm³
96 cm³
V = Abxh/3 = (12cmx12cm)x8cm/3 = 144cm²x8cm/3 = 384 cm³
Answer:
384 cm³
Step-by-step explanation:
Volume = a^2(h/3)
a = base edge = 12 cm
h = height of pyramid = 8 cm
Volume = 12^2*(8/3)
Volume = 144*(8/3)
Volume = 48*8
Volume = 384 cm³
Which function is the inverse of y=x-6?
Answer:
Step-by-step explanation:
y = x - 6
to find the inverse, switch x and y and solve for y
x = y - 6
x + 6 = y...rearrange
y = x + 6 <== ur inverse
The inverse of the equation y = x - 6 is achieved by swapping x and y and then solving for y. This results in the equation y = x + 6, which is the inverse function.
Explanation:The function that is the inverse of y = x - 6 can be found by switching the x and y in the equation, then solving for y. By performing this operation:
1. Switch x and y: x = y - 6
2. Solve for y: y = x + 6
Therefore, the inverse function of y = x - 6 is y = x + 6.
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The following stem and leaf plot shows the number of students at the local recreational center each day at 4 PM.
A stem and leaf plot is shown.
Which data set is represented by this plot?
A.0, 2, 2, 2, 2, 2, 4, 5, 5, 6, 6, 6, 6, 9
B.16, 22, 25, 26, 34, 35, 39, 42, 50, 72
C.16, 22, 22, 25, 26, 26, 26, 34, 35, 39, 42, 42, 50, 72
D.5, 22, 22, 24, 24, 27, 43, 52, 53, 61, 62, 62, 62, 93
Answer:
A
Step-by-step explanation:
By leaf plot...
==============================================================
Explanation:
The first row has a stem of 1 and a leaf of 6. The stem and leaf combines to 16. For this problem, the stem will always be the tens digit while the leaf values will be the units digit. If there are multiple leaves for a given row, then we use the same stem value.
In row 2, we have "2" as the stem and multiple leaves. The first three leaves for this row are {2, 2, 5}. They pair up with the stem to form the values 22, 22, 25.
So far the data set is 16, 22, 22, 25. Only choice C has this sequence of values at the start of it. Choice B comes close, but it does not have a second copy of 22. So we cross choice B off the list. Choice D is off the list because the first value '5' is not represented on the stem and leaf plot (the stem would be 0 to represent the value 05 which is just 5). Choice A is false for similar reasons.
Need help ASAP please and thank you
Answer:
Step-by-step explanation:
x
Use a table of values to graph the equation.
x
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0
z
1
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−
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y
y
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Solve for 6x+4(3)=8(x+4)-2
Answer: x = -9
Step-by-step explanation: 6x + 4(3) = 8( x + 4) -2
0pen brackets and collect like terms,
6x + 12 = 8x + 32 -2
collect the like term
6x + 12 = 8x + 32 -2
6x -8x = 32 -2 - 12
-2x = 18, divide through by -2
Therefore x = -9
How do i solve the problem 7+7+7=3×
Answer:
x=7
Step-by-step explanation:
7+7+7=3*?
7+7+7 is basically 3 sevens, which is equivalent to 3*7 or 7*3. So x=7.
Answer:
x=7
Step-by-step explanation:
7+7+7=3x
14+7=3x
21=3x
x=21/3
x=7
What fraction of an hour is 50 minutes
Answer: 5/6
Step-by-step explanation:
All we need do is to try to change 50 minutes to hour.
Remember that 60 minutes make 1 hour , so we need to find 50 minutes out of 1 hour , that is 50 minutes out of 60 minutes. Which is 50/60. Therefore:
50 minutes is 50/60 fraction of an hour
50/ 60 is the same as 5/6 in reduced form
Answer:
Step-by-step explanation:
1hour is 60minutes
= 50/60
= 5/6
Which inequality is represented by the graph?
A. y≤53x−3
B. y<35x−3
C. y>53x−3
D. y<53x−3
Answer:
y<5/3x-3 or D.
Step-by-step explanation:
took the test :)
The inequality y < 5/3 x - 3 represents the graph so option (D) will be correct.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.
Given the inequality,
y < 5/3 x - 3
For x = 0
y < -3 it means graph should be decreased from (-3,0).
For y = 0
x > 9/5
x > 1.8
It means the graph should increase from (1.8,0).
Since this inequality is represented so it will be correct.
Hence "The inequality y < 5/3 x - 3 represents the graph".
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what is the correct answer?
Answer:
D) 8
Step-by-step explanation:
You multiply 10 by 12 to get 120 so you multiply x by 12 to get 96.
96 = 12x
/12 /12
8 = x
Subtract (6x-2)-(-x+5)
Answer:
7x-7
Step-by-step explanation:
6x-(-x) double negative --> add
7x
-2-5= -7
Answer:
7x-7
Step-by-step explanation:
Let's simplify step-by-step.
6x−2−(−x+5)
Distribute the Negative Sign:
=6x−2+−1(−x+5)
=6x+−2+−1(−x)+(−1)(5)
=6x+−2+x+−5
Combine Like Terms:
=6x+−2+x+−5
=(6x+x)+(−2+−5)
=7x+−7
What is an example of response bias
Answer with Explanation:
"Response Bias" refers to a pattern consisting of incorrect responses. Sometimes the question's way of wording may contribute to such kind of bias in responses. One question that could lead to a response bias is asking with the use of leading questions.
For example, "You don't want classes to start any earlier, do you?"This kind of question unduly favors the other option. Thus, the response would be biased.
Another situation which may lead to a response bias is the lack of privacy when answering survey questions. The respondent will feel pressured while being monitored, thus leading to a biased response. They will also choose the option that they think are socially acceptable.
Another example is providing respondents a scale of 1-5, when it comes to restaurant service. It becomes natural for them to choose the extremes, which are 1 and 5. These responses are mostly affected by a person's culture.
If f(x)=47x-55, then f(f^-1(x))=? Please help!!
Explanation:
For reasons unknown, Brainly gets bent by the use of "f(x)". So, an appropriate answer cannot be posted as text. I have posted it as attached pictures.
The expression f(f^-1(x)) represents the composition of a function and its inverse, which always returns the original input x.
Explanation:The expression f(f^-1(x)) involves the composition of a function and its inverse. A function composed with its inverse will always yield the original input, this property is fundamental in the concept of inverse functions. So f(f^-1(x)) will equal x in all and every case.
The reason why this is the case can be visualized by the definition of an inverse function. Given a function f(x), the inverse function f^-1(x), by definition, undoes the operation of f(x). This means that, if we apply f(x) and then apply f^-1(x), we will come back to our starting point.
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Mike has a recipe that feeds one person that calls for 3/8 teaspoon of salt. How much salt is needed to make the recipe if he needs to cook the recipe for 8 people? a. 3/64 teaspoon c. 24/64 teaspoon b. 1 3/8 teaspoons d. 3 teaspoons
Answer:
3 teaspoons of salt is needed to cook the recipe for 8 people.
The correct option is d. 3 teaspoons.
Step-by-step explanation:
Given:
Mike has a recipe that feeds one person that calls for 3/8 teaspoon of salt.
Now, to find the quantity of salt is needed to cook the recipe for 8 people.
As, given the unit rate is:
[tex]\frac{3}{8}[/tex] teaspoon salt per person.
So, to get the salt needed to cook for 8 people we multiply 8 by [tex]\frac{3}{8}[/tex] :
[tex]8\times \frac{3}{8}[/tex]
[tex]=\frac{24}{8}[/tex]
[tex]=3\ teaspoons.[/tex]
Therefore, 3 teaspoons of salt is needed to cook the recipe for 8 people.
The correct option is d. 3 teaspoons.
Megan buys all 40 pounds of the farmers tomatoes. She then buys the remaining vegetables according to the ideal ratios shown above. How many pounds of onions and broccoli does Megan buy from the farmer?
Answer:
40 pounds
Step-by-step explanation:
I see no ratios shown above so I guessed
Mr.quick bought a new computer system.Regular price was 1580,but he got a 15% discount how much did he pay
Answer:
$1343
Step-by-step explanation:
After subtracting 15% from 100% of the original price, the price Mr. Quick paid is 85% of the original price.
0.85 × 1580 = 1343
Mr. Quick paid 1343 for his computer.
Fast answer pls. No stupid answers
First one.
y = -2x + 3
5x - (-2x + 3) = 11
y = -2x + 3
5x + 2x - 3 = 11
//
7x = 14
x = 2
y = - 2(2) + 3 = - 4 + 3 = - 1.
One x, one solution.
Write an equation for the word sentence. The product of the number of songs and $0.99
is $7.92.
Answer:
N(number of songs) times 0.99 equals to 7.92. N×0.99=7.92
n= number of songs
product=*
n*0.99=7.92
if you need the answer it would be 6.93
If p(x) = x2 - 1 and q(x) = 5(x-1), which expression is equivalent to (p-q)(x)?
Answer:
x² - 5x + 4
Step-by-step explanation:
Note that (p - q)(x) = p(x) - q(x)
p(x) - q(x)
= x² - 1 - 5(x - 1) ← distribute
= x² - 1 - 5x + 5 ← collect like terms
= x² - 5x + 4
what is the missing number 12×1= 12+W
The value of W is 0.
ExpressionIn mathematics, an expression is defined as a set of numbers, variables, and mathematical operations that are formed according to rules which is dependent on the context.
for example, a+23 = 105, a²+b²+10a =100, etc.
Given to us,12×1= 12+W
To findW = ?
solving the expression further,[tex]12\times 1= 12+W\\12 = 12+W\\12-12 = W\\W =0[/tex]
Hence, the value of W is 0.
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How to solve b/2= -4
Answer:
b = -8
Step-by-step explanation:
crossmultiply
Triangle WXY has the interior and exterior angles shown below.
Triangle X W Y. Angle W is (2 x minus 13) degrees and angle Y is x degrees. The exterior angle to angle X is 122 degrees.
What is Measure of angle W?
45 degrees
58 degrees
68 degrees
77 degrees
Answer:
The correct option is last one 77 degrees.
Therefore the measure angle W is 77 degrees.
Step-by-step explanation:
Given:
Exterior angle = 122°
∠W = (2x-13)°
∠Y= x°
To Find:
∠W = (2x-13)° = ?
Solution:
Exterior Angle Property:
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
Angle W and Angle Y are the interior angles of Exterior angle 122°.
∴ [tex]Exterior\ angle=m\angle W+m\angle Y[/tex]
Substituting the values we get
[tex]122=2x-13+x\\3x=135\\\\x=\dfrac{135}{3}=45\\\\x=45[/tex]
Now Substitute 'x' in angle W we get
[tex]m\angle W=2\times 45 -13=77\°[/tex]
Therefore the measure angle W is 77 degrees.
Answer:
77 is the answer
Step-by-step explanation:
A stop sign that is 7 feet tall casts a shadow that is 8 feet long. Find the length of the shadow casted by a nearby 63-foot tall building.
Answer:
72 feet is the answer. The shadow of the 63 ft tower.
To find the shadow length of a 63-foot building given a 7-foot stop sign's 8-foot shadow, a proportion is used, resulting in a shadow length of 72 feet.
A student asked how to find the length of the shadow cast by a 63-foot tall building given that a 7-foot tall stop sign casts an 8-foot long shadow. This problem can be solved using simple proportions since the ratio of the height of an object to the length of its shadow is constant when the sun's angle is constant. The proportion is as follows: height of stop sign / length of stop sign's shadow = height of building / length of building's shadow. Plugging in the numbers: 7 / 8 = 63 / x, where x is the length of the building's shadow. Solving for x, we find that x = 8 * 63 / 7 = 72. Therefore, the length of the shadow cast by the 63-foot tall building is 72 feet.
PLEASE ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
D
Step-by-step explanation:
Given the equation y = 3x - 9
Check each of the given equations
A
y = 3(x - 9) ← distribute
= 3x - 27 ≠ 3x - 9 ← False
B
y = [tex]\frac{1}{3}[/tex](x - 3) ← distribute
= [tex]\frac{1}{3}[/tex] x - 1 ≠ 3x - 9 ← False
C
y = [tex]\frac{1}{3}[/tex](x - 27) ← distribute
= [tex]\frac{1}{3}[/tex] x - 9 ≠ 3x - 9 ← False
D
y = 3(x - 3) ← distribute
= 3x - 9 ← True
Which number sentence is true?
BRAINLIEST GETS 15 POINTS !!!
A. –39.6 ÷ 4.8 = 8.25
B. –39.6 ÷ (–4.8) = –8.25
C. 39.6 ÷ –4.8 = 8.25
D. –39.6 ÷ (–4.8) = 8.25
Answer:
the answer in D
Step-by-step explanation:
i just took the test and it was correct :)
The correct answer is option D. -39.6 ÷ (- 4.8) = 8.25
Canceling out is a mathematical process used for removing subexpressions from a mathematical expression when this removal does not change the meaning or the value of the expression because the subexpressions have equal and opposing effects.
Conclusion: The plus and minus signs, + and −, are mathematical symbols used to represent the notions of positive and bad, respectively. in addition, + represents the operation of addition, which results in a sum, while − represents subtraction, resulting in a difference.[1] Their use has been extended to many other meanings, more or less analogous. Plus and minus are Latin terms meaning "more" and "less", respectively.
When you see the other option you will find even after the cancelation of the minus sign the end results have either a faulty positive or negative sign.
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234+(+564-543)cevabı kaçtır
Answer:
255
Step-by-step explanation:
234+(564-543)
234+(21)
234+21
255
Tristan wants to buy 12 cupcakes. Each cupcake costs $2.40. What is the best estimate for how much money Tristan should bring with him to pay for cupcakes ?
Answer: $28.80
Step-by-step explanation:
Answer: $30.00
Step-by-step explanation:
Because of he wants to buy 12 and they cost 2.40 then you multiply both of the 12 ans 2.40 and you get 28.8. Round it up to 30.00.