On the last day of a Shakespeare class, an English teacher asked her students which play
they liked most. Out of the 12 students, 4 liked Macbeth best.
What is the probability that a randomly selected Shakespeare student likes Macbeth best?
Write your answer as a fraction or whole number
Answer: The answer is 8/12, or 8 out of 12.
Step-by-step explanation:
There are 12 students, 4 liked Macbeth, meaning that the rest must like Shakespeare.
Given kite RSTU. Please I need help ASAP.
Which statements about quadrilateral WXYZ are
true? Select three options,
The slope of ZW is 2/5
The slope of YX is -5/2
The length of ZY is sqrt29.
The length of WX is 5.
Quadrilateral WXYZ is a square.
Answer:
the slope of zw is 2/5
the length of zy is sqrt29
Quadrilateral WXYZ is square
The slope of ZW is 2/5, length of ZY is square root of 29, and the quadrilateral WXYZ is a square.
What is a quadrilateral?It is a 4 side figure, four angle and four vertices.
How to find the slope?Points of quadrilateral is Z(-3,1), W(2,3), X(4,-2) AND Y(-1,-4)
Slope of ZW is (3-1)/(2+3)=2/5
Slope of YX=(-2+4)/(-1-4)=-2/5
Length of ZY=root of [tex](-4-1)^{2} +(-1+3)^{2}[/tex]=root of 29
Length of WX =root of [tex](-2-3)^{2} +(4-2)^{2}[/tex]= root of 29
Quadrilateral it is a square.
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Someone please help me out
The figures for this problem are not scale drawings, as the ratios between the equivalent side lengths are different.
What is a dilation?A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.
Hence, when a figure is a dilation of another figure, the two figures are scale drawings.
For this problem, the ratio between the bases of the rectangles is given as follows:
12/6 = 2.
The ratio between the height of each rectangle is given as follows:
6/2 = 3.
As the ratios are different, the two figures are not scale drawings of one another.
For them to be scale drawings, it would be needed either a ratio of 2 for the heights or a ratio of 3 for the bases.
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please help i suck at math
It cost the shoe factory $26.47 to make a pair of Purple Pedi running shoes. The mall sells them for $128.98. What is the percent mark-up?
If it cost the shoe factory $26.47 to make a pair of Purple Pedi running shoes and the mall sells them for $128.98 then 3.87 is the percent mark-up.
How much of a markup is that?The gross profit of a unit is determined by subtracting its cost to produce or acquire for resale from its sales price to determine the markup percentage. The markup percentage is computed as (12 - 8) / 8 and equals 50% if an item is priced at $12 but costs the manufacturer $8 to produce.
Some individuals will inform you that a 5% markup equates to a markup of 5% of the price your customer pays. In your illustration, this is stating that you add a specific amount to your cost, $62, to arrive at a price of $P for your customer, and the amount you added is 5% of $P. This means that your cost of $62 is 95% of the price of P.
($128.98 - $26.47)/ $26.47
= 3.87.
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what is the third term of an arithmetic sequence whose second term is 7 and whose sixth term is 23
Answer: 11
Step-by-step explanation:
Given
The second term of an AP is 7
The sixth term of an AP is 23
Suppose a and d be the first term and common difference of the sequence
[tex]\Rightarrow 7=a+d\quad \ldots(i)\\\Rightarrow 23=a+5d\quad \ldots(ii)[/tex]
Subtract the above equations
[tex]\Rightarrow 23-7=5d-d\\\Rightarrow 16=4d\\\Rightarrow d=4[/tex]
Put d in equation (i)
[tex]\Rightarrow 7=a+4\\\Rightarrow a=3[/tex]
So, the third term of the AP is [tex]a+2d[/tex]
[tex]\Rightarrow 3+2\times 4=11[/tex]
What is the gravitational potential energy of a 55-kg person that has climber a 4,000 meter tall mountain?
Bonus: if one snickers bar is 1,100,000 joules of energy, how many snickers bars would provide enough fuel to climb the mountain ?
Target buys a pair of shoes for 20, but they sell it to the public for 35. what is the percent of change that target marks the shoes up for
Answer:
75%
Step-by-step explanation:
To find the percent of change that Target marks the shoes up for, you need to calculate the difference between the cost of the shoes to Target and the price at which they sell it to the public, and then divide that difference by the cost of the shoes to Target. Finally, you need to multiply the result by 100 to express the answer as a percentage.
Using this formula, the percent of change that Target marks the shoes up for is:
(35 - 20) / 20 * 100 = 15 / 20 * 100 = 0.75 * 100 = 75%
This means that Target marks the shoes up by 75% of their cost.
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
8.8
Step-by-step explanation:
To find the hypotenuse...
a²+b²=c²
C is the hypotenuse, so we add the others...
8.4²+2.6²=c²
70.56+6.76=c
77.32=c
Now, square root c to bring it to its original position.
√77.32=8.8
Your answer is 8.8 yards.
Sam and Harry are family. Sam is currently three times Harry's age. Sam's age is also 10 more than twice Harry's age. The following system of equations models this scenario:
x = 3y
x = 10 + 2y
What are their current ages?
Sam is 24 years old, and Harry is 8 years old.
Sam is 39 years old, and Harry is 13 years old.
Sam is 27 years old, and Harry is 9 years old.
Sam is 30 years old, and Harry is 10 years old.
Answer:
sam is 30 and harry is 10
Step-by-step explanation:
hope you liked my answer .
Answer: Sam is 30 years old, and Harry is 10 years old.
Step-by-step explanation:
hi can u pls help asap ty
Answer:
this is your proper answer ...
A shipping container will be used to transport several 150-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 27500 kilograms. Other shipments weighing 8700 kilograms have already been loaded into the container. Use the drop-down menu below to write an inequality representing cc, the total number of 150-kilogram crates that can be loaded into the shipping container.
Answer:
Below
Step-by-step explanation:
(27500 - 8700) >= 150 x where x is the number of 150 kg containers
Solve the following system of equations:
−2x + y = 1
−4x + y = −1
(3, 1)
(−1, 3)
(−1, −3)
(1, 3)
Answer:
(1,3)
Step-by-step explanation:
[tex]\sf Answer\begin{cases} \sf \rightarrowtail \: - 2x + y = 1 \dots(1) \\ \sf \rightarrowtail \: - 4x + y = - 1 \dots(2) \\ \sf 2 \times (1) \implies - 4x + 2y = 2 \\ \sf 1 \times (2) \implies - 4x + y = - 1 \\ \bf \star \: substracting \: both \\ \sf \rightarrowtail \: y = 3 \\ \sf \rightarrowtail \: -2x+(3)=1 \\ \sf \rightarrowtail \: -2x=-2 \\ \sf \rightarrowtail \: x=1\end{cases}[/tex]
the ratio of boys to girls in the sixth grade is 3 to 5 if there are 45 girls how many students are there in the 6th grade
Answer: 27 boys
Step-by-step explanation:
There is a rule in math, what you do to one side, you do to the other.
So in this case the ration is 3:5
?:45
As you can see, they multiplied 5 by 9 to get 45, remember the rule, so we do the same.
3 times 9 is 27, so 27 boys
Solve 4x= If x=10
HURRY PLEASE ITS A TEST
Answer:
40
Step-by-step explanation:
4x
4(10)
Answer: 40
Step-by-step explanation:
x^2-2x+10=0
is the vertex of this parabola a maximum value or minimum value?
Step-by-step explanation:
minimum.
since the term with x² has a positive factor, this will grow exponentially in the positive direction compared to the other terms, so y (the functional value) will grow and grow with growing distance of x to the vertex.
and that makes the vertex the minimum of the parabola (which opens upwards).
if the factor would be negative (like -x² - 2x + 10), the vertex would be a maximum, and the parabola would open downwards.
A cosine function has a period of 4, a maximum value of 20, and a minimum value of 0. The function is not a reflection of its parent function over the x-axis.
Which function could be the function described?
a. f(x)=10cos(2x)−10
b. f(x)=−10cos(π/2x)+10
c. f(x)=10cos(π/2x)+10
d. f(x)=−10cos(2x)+10
Pls help me
Here is triangle ABC:
No links pls
Answer:
[tex]Given: AC=1[/tex]
∠A=0
[tex]Cos0=\frac{B}{H} =\frac{AB}{AC}[/tex]
[tex]Cos0=\frac{AB}{1}[/tex]
[tex]AB=Cos0[/tex]
-------------------------
hope it helps...
have a great day!!
Answer:
AB = AC×cos theta= cos theta
Please i have a question you can help me for answer.
The question is
Follow the construction program to build below the figure
° Draw a segment {ST} of length 9 cm.
°Draw the circle with center T and radius 4 cm
.
° Draw the circle with diameter {ST}
° The two circles intersect at A and B. Without measuring, give the length of the segments {TA} and {TB}:
The length of segments TA and TB are both 4 cm.
How to determine the diagram and the lengthsTo solve this problem, we can use the properties of circles and the relationship between the radius and the diameter.
Since the radius of the circle with center T is 4 cm, the diameter of this circle is 2 * 4 = 8 cm.
Since the length of segment ST is 9 cm, the diameter of the second circle is also 9 cm.
Since the radius of the circle with center T is 4 cm, the radius of the second circle is also 4 cm.
Since the two circles intersect at points A and B, the segments TA and TB are equal in length.The length of segment TA and TB is the radius of the second circle, which is 4 cm.
Therefore, the length of segments TA and TB are both 4 cm.
The figure is attached
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A blueprint of a house has a scale in which 1 inch equals 4 1/2 feet. If the living room wall measures 7 1/4 inches on the drawing, what is the actual length of the wall?
The actual length of the wall is ___ feet
Answer:
Step-by-step explanation:
1 : 4 1/2 :: 8 1/5 : x proportion
x = (4 1/2)(8 1/5) product of means/extremes
x = (9/2)(41/5) change improper fraction
x = 369/10 multiply
x = 36.9 change to decimal
The actual length is 36.9 feet.
Solve (2 - x)^2 < 4/25
Answer:
8/5 < x< 12/5
Step-by-step explanation:
(2 - x)^2 < 4/25
Take the square root of each side
sqrt((2 - x)^2) <±sqrt( 4/25)
Make two equations
2-x < 2/5 2-x > -2/5
Subtract 2 from each side
2-x-2 < 2/5 -2 2-x-2 > -2/5-2
-x < 2/5 - 10/5 -x > -2/5 - 10/5
-x < -8/5 -x > -12/5
Multiply by -1, remembering to flip the inequality
x> 8/5 x < 12/5
8/5 < x< 12/5
Telephone poles, spaced 100 feet apart, line the road on which Jesse lives. If Jesse runs from the first pole to the seventh pole, how many feet does he run? Draw a picture that illustrates the problem.
Answer:
She would have ran 700 feet.
Step-by-step explanation:
If there are many many poles, and she runs across 7 of them, that would be the number of poles multiplied with the distance: 7 x 100 = 700.
PLZ HELP ASAP! IM FAILING SO PLEASEEEE
Answer: B
You can find slope by using the slope formula. Because we are already given two coordinate points, we can use that to find our slope. The slope formula is [tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]. This also refers to [tex]\frac{5-(-5)}{0-4}[/tex] or 10/-4 or -5/2. Any coordinate with the x-value as 0 means that that coordinate is the y-intercept. Because (0,5) has 0 as its x-value, the y-intercept is 5.
Ethan has 3pounds of mixed nuts how many ounces of mixed nuts does Ethan have ?
Answer:
48 ounces of Mixed Nuts
Step-by-step explanation:
You need to convert pounds to ounces to find the answer to this problem.
1 pound is 16 ounces, so multiply 3 by 16 for your answer,
If the area of a circle is 31.36 pi, then what is its radius?
Answer:
5.6 units
Step-by-step explanation:
[tex]\boxed{area \: of \: circle = \pi {r}^{2} }[/tex]
Given that the area of the circle is 31.36π,
31.36π= πr²
Divide both sides by π:
31.36= r²
r²= 31.36
Square root both sides:
[tex]r = \sqrt{31.36} [/tex]
r= 5.6 units
A recipe calls for 6 liters of oj, 3 liters of grape juice and 9.5 liters of ice water. How much grape juice and water will be used with 2 liters of Jo?
If we use 2 liters of OJ, you will need to change the recipe and use:
1 liter of grape juice.3.2 liters of water.How much grape juice and water it will need?We know that a recipe calls for 6 liters of OJ, 3 liters of grape juice and 9.5 liters of ice cream.
If instead we use 2 liters of OJ, then the ratio of the recipe that we use is given by the quotient below:
2L/6L = 1/3
So we will just use 1/3 of each of the amounts that the recipe calls, we will se:
(1/3)*3 liters of grape juice = 1 liter of grape juice.
(1/3)*9.5 liters of water = 3.2 liters of water.
These are the amounts that you need to use.
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The capacity of a tank is 60 000 litres. It is being filled at a rate of 1250 litres per hour. How long will it take to fill of the 5/8 of the tank?
Answer:
48
Step-by-step explanation:
60 000 / 1250 = 48
Fill in the sentence below with the description that most specifically applies to the quadrilateral below.
The figure with equal opposite sides and all the interior angles being right angles is a rectangle.
What is a quadrilateral?A quadrilateral is a closed object in geometry that is created by connecting four points, any three of which are not collinear. There are 4 sides, 4 angles, and 4 vertices in a quadrilateral.
A rectangle is a special type of quadrilateral in which opposite sides are of equal length(not all sides are the same) and all the interior angles are right angles.
From the given diagram the opposite sides are equal and all the interior angles are right angles hence the figure is a rectangle.
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6) Round off 78342 to the nearest thousand.