Answer:
31
Step-by-step explanation:
An entire amount is 100% of the amount.
50% is half of 100%, so 50% means the same as half.
Half of 62 is the same as 62/2 = 31
Answer: 31
Generally you would need to do a [tex]\frac{part}{whole}[/tex] proportion but there is a shorter way to do just the specific question. If you would like to know how to do the proportion version let me know
Since it asks for 50% of 62 it means that it's looking for half of 62, so all you have to do is divide 62 by 2 which is...
62/2 = 31
31 is 50% of 62
Hope this helped!
a house bought for $110000 and sold for $180000 in profit percentage
Answer:
Net Profit Margin: 38.89%
Net Profit: $70,000.00
Profit Percentage: 63.64%
Step-by-step explanation:
it takes jesse 2/3 hour to mow her backyard. how much of the yard will be mowed
after 1/4 hour
Answer:
3/8 backyard in 1/4 hour
Step-by-step explanation:
Her rate is (1 backyard) / (2/3 hour), or 3/2 backyard per hour.
At this rate, after 1/4 hour, she will have mowed:
3/2 backyard 1 hr
------------------------- * --------- = 3/8 backyard in 1/4 hour
1 hour 4
Jesse will mow 0.375 or 37.5% of the yard after 1/4 hour given that she takes 2/3 of an hour to mow the entire yard.
Explanation:To solve this problem, we first understand that to mow the entire yard, Jesse takes 2/3 of an hour. Thus, the proportion of the yard that Jesse mows in 1 hour is 1 / (2/3) = 1.5. So, in 1/4 of an hour, the proportion of the yard that Jesse mows is (1/4) * 1.5 = 0.375.
Therefore, Jesse will mow 0.375, or 37.5% of the yard after 1/4 hour.
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PLS HELP, ILL GIVE U BRAINLIEST IF YOU'RE RIGHT.
Find the product: (5/3)(2/3)(21)
Answer:
23.3 repeating
Step-by-step explanation:
23.333 or 23 1/3
Multiply (5/3)(2/3) = 10/9 now multiply that by 21 and you get 23.333 or 23 1/3 or 70/3
What is the value of the expression “eight more than three times the difference of four and a number” when n = 3?
Answer:
The value of the expression would be 11.
Step-by-step explanation:
3 (4 - n) + 8
When n = 3:
3 (4 - 3) + 8
3 (1) + 8
3 + 8
11
Answer:
11
Step-by-step explanation:
Let the number is n
Then as per statement of the question
"Eight more than three times the difference of four and a number"
Expression will be [3(4-n)+8]
Now for n = 3
Value of the expression will be [3(4 - 3 ) +8]
= [ 3 × 1 + 8 ]
= 11
What is the range if times that the middle 50% of sophomores spend on homework per night?
Answer:
[tex]60 - 20 = 40[/tex]
Step-by-step explanation:
Another way of stating this problem is find the Interquartile Range which is
Quartile 3 - Quartile 1.
The middle 50% of times that sophomores spend on homework per night refers to the interquartile range in statistics. This is found by ordering the data from least to greatest, splitting the data into 4 equal parts, then finding the values at the 1st and 3rd quartiles. The IQR is the range between these two values.
Explanation:The range of times that the middle 50% of sophomores spend on homework per night refers to the interquartile range (IQR) in statistics. This is because the middle 50% is equivalent to the data between the 1st quartile (25th percentile) and the 3rd quartile (75th percentile). To determine this IQR, you must first have the data you need- in this case, how long each sophomore spends on their homework. Then, you must order this data from least to greatest. Once ordered, you find the 1st and 3rd quartile values by splitting the data into 4 equal parts. Your IQR is then the range between these two values.
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A 3-pound bag of sugar costs $9.12. What is the price per ounce
To find the price per ounce of a 3-pound bag of sugar costing $9.12, multiply the pounds by 16 to get the total ounces (48), then divide the cost by the total ounces to get $0.19 per ounce.
To calculate the price per ounce of sugar for a 3-pound bag costing $9.12, first determine the total number of ounces, since there are 16 ounces in a pound. Multiplying 3 pounds by 16 ounces per pound gives us 48 ounces. Next, to find the price per ounce, you divide the total cost by the total number of ounces ($9.12 ÷ 48 ounces).
Performing the division gives us the cost per ounce of sugar: $9.12 divided by 48 ounces equals $0.19 per ounce.
There are 9 rows of 28 chairs set up for a play. A ticket to play costs $4. How much money will be made on ticket sales if all the seats are sold for the play?
First we have to determine how many chairs there are total. To do this multiply 9 by 28
9*28 = 252
That means you have a total of 252 chairs. Since we can assume that every person who buys a $4 ticket will only sit in one chair, we can say that if all the seats are filled then 252 people bought a ticket
To find the total price multiply the total chairs by the cost per ticket (or chair, which ever way you want to think of it as)
252 * 4 = 1008
You would make $1008
Hope this helped!
~Just a girl in love with Shawn Mendes
I give brainliest please answer
Answer:
The answer is D; (5,3)
The answer would be D 5,3.
What is the value of x?
Answer:
x = 27Step-by-step explanation:
Look at the picture.
Therefore:
[tex]\dfrac{x+8}{2x-5}=\dfrac{10}{14}[/tex] cross multiply
[tex]14(x+8)=10(2x-5)[/tex] use the distributive property a(b + c) = ab + ac
[tex]14x+112=20x-50[/tex] subtract 112 from both sides
[tex]14x=20x-162[/tex] subtract 20x from both sides
[tex]-6x=-162[/tex] divide both sides by (-6)
[tex]x=27[/tex]
Please help thank you much!
The volume of one marble is 0.04 liters.
Multiply the volume by the number of marbles:
50 x 0.04 = 2 liters.
Add that to the volume of water:
33 +2 = 35 liters
The volume of the tank is 35 liters.
Part 2:
Subtract the volume of water from the volume of the tank:
35 - 20 = 15 liters.
Now divide the remaining volume by the volume of a marble:
15 / 0.04 = 375 marbles are needed.
The box part of the box plot contains all the values between which numbers?
between 27 and 36 and between 37 and 40
between 32 and 36
between 32 and 37
between 27 and 32 and between 37 and 40
Answer:
"between 32 and 37"
Step-by-step explanation:
You can clearly look at the number line and see that each small line represents 1 unit.
Look at the box.
The left side of the box coincides with 2 units after 30, so 30 + 2 = 32
THe right side of the box coincides with 2 units after 35, so 35 + 2 = 37
Hence, the box part of the box plot contains all the values between 32 and 37
I need help please?!!!
Answer:
True
Step-by-step explanation:
If the line is solid, it is part of the solution; if it is dotted or dashed, it is not. Solid is ≥ ≤ while dashed is > <
Is the equation 4 x^2 + 2 x - 4=5 x^2
linear or quadratic?
Answer:Quadratic because I think so and because it has fours in it so yeah good luck :p
Answer:
Linar
Step-by-step explanation:
it only has one variable
need help soon! Lavonne is using the dot plots to compare two sets of data. Both plots use the same number line. Which choice most likely describes the data sets Lavonne is comparing?
Answer:
Weight of 4th graders, weight of 8th graders
Step-by-step explanation:
Got it right on IM
Plot 1 represents the weight of 4th grade students in pounds and plot 2 represents the weight of 8th grade students in pounds.
What is Number Line?A number line is a straight line drawn horizontally where the numbers are placed at an equal intervals.
Given two dot plots in number line.
Both of the plots are using the same number line.
The values of numbers on the number line increases as we move towards right.
So the values market in the first plot is smaller values than that in the second plot.
If the weight of notebooks in kilogram is plotted in second plot, then the number of notebooks corresponding to each number in the number line should be same. But this is not the case, as in pot 1, there are 3 notebooks in the first value, but only 1 notebook in plot 2 as the first value.
Heights of skyscrapers can't be compared with ounces of water in bottle.
Weights of 3rd grade boys and girls will not be at this distance far.
So the option is c.
Hence the third option is the one representing the plots.
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What are the coordinates of A’ after reflecting across the line x = 3? (2, 3) (3, 2) (3, 4) (3, –2)
Answer:
A(3,4), B(2,2), C(6,3), D(1,6)
Step-by-step explanation:
The coordinates you wrote out are different then what is shown on the graph, On the graph the points are A(3,2), B(2,4), C(6,3), D(1,0)
So when it comes to solving this first you need to know what you are going to reflect over, in this case its X=3 which would be a horizontal at point 3 and across.
Then you count how far away the points are from X=3 line and reflect.
Hard to explain but i hope it helps
The coordinates of A after reflecting across the line x=3 is (2,3).
We can find the coordinates of a given graph using the following :The first number or the number which is located to the left side of a comma in the point is the x coordinate of the ordered pair.It represents the amount of movement along the x-axis from the origin.The movement to the right side of the number is positive and to the left side of the origin of the number is negative.The reflection of the point(x,y) across the line y=x is (y,x).The reflection of the point (x,y) across the line y=-x is (-y, -x).Hence, the correct answer is (2,3) if it is reflected across the line x=3.
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what is the lateral area of a regular pyramid with a square base which has a slant height of nine units and base side length of seven units?
Answer:
126 sq units.
Step-by-step explanation:
We want the side surface area only, we'll calculate both
For the sides, we have 4 triangles with a base of 7 and a height of 9 units.
The area of a triangle is calculated with A = (b * h)/2
So, each of the sides of the pyramid has an area of:
A = (7 * 9) / 2 = 31.5 sq units
There are four sides, so total lateral area: 4 * 31.5 = 126 sq units.
The total lateral area of that pyramid is 126 sq units.
The height H of a skydiver t seconds after jumping. Let T be the independent variable, and assume the skydiver jumps from a height of 12,500 feet and lands after 300 seconds of flight
Answer:
25 seconds
Step-by-step explanation:
Skydiving.
height (in feet) above the earth=h(t)= -16t^2 + 10,000
the time it would take to fall when h is 0
-16t^2 + 10,000=0
-16t^2=-10000
16t^2=10000
t^2=10000/16=625
t=sqrt 625=25 seconds
Which equation represents an inverse variation?
y = 2x
y = x/3
y = 4/x
y = –5x
Answer: third option
[tex]y = \frac{4}{x}[/tex]
Step-by-step explanation:
It is said that two variables X and Y vary inversely if when the variable x increases then the variable and decreases.
The equations of inverse variation have the following form:
[tex]y = \frac{k}{x}[/tex]
Where k is the constant of variation
To know which of the equations varies inversely identify those that have the form
[tex]y = \frac{k}{x}[/tex]
You can see that the correct option is the third option
[tex]y = \frac{4}{x}[/tex]
Answer:
It's C.
Step-by-step explanation:
Enter the next three numbers of the repeating decimal produced by the
fraction 2-7
0.285714285714
Answer:
The next three numbers are; 2,8, and 5.
Step-by-step explanation:
Answer:
fraction 2-7
0.285714285714
Step-by-step explanation:
The adjoining diagram shows two intersecting straight lines. find the value of
[tex]x \: y \: and \: z[/tex]
here u go, see if u understand
can someone help me please
Answer:
slope = - 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 1) and (x₂, y₂ ) = (1, - 1) ← 2 points on the line
m = [tex]\frac{-1-1}{1-0}[/tex] = - 2
Answer:
Slope = -2
Step-by-step explanation:
(0,1) and (1,-1)
Slope = (-1 -1)/(1-0)
Slope = -2
the area of a sector of a circle witha radius measuring 30cm 100 pi cm. what is the measure of the central angle that forms the sector?
Answer:
The central angle is [tex]40\°[/tex] or [tex]\frac{2}{9}\pi\ radians[/tex]
Step-by-step explanation:
step 1
Find the area of the circle
The area of the circle is equal to
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=30\ cm[/tex]
substitute
[tex]A=\pi (30)^{2}[/tex]
[tex]A=900\pi\ cm^{2}[/tex]
step 2
Find the central angle in degrees for a sector with area [tex]100\pi\ cm^{2}[/tex]
Let
x----> the measure of the central angle in degrees
Remember that the area of the circle subtends a central angle of 360 degrees
so
using proportion
[tex]\frac{900\pi}{360}=\frac{100\pi}{x}\\ \\x=360*100\pi/900\pi \\ \\x=40\°[/tex]
step 3
Find the central angle in radians for a sector with area [tex]100\pi\ cm^{2}[/tex]
Let
x----> the measure of the central angle in radians
Remember that the area of the circle subtends a central angle of [tex]2\pi[/tex] radians
so
using proportion
[tex]\frac{900\pi}{2\pi}=\frac{100\pi}{x}\\ \\x=2\pi*100\pi/900\pi \\ \\x=\frac{2}{9}\pi\ radians[/tex]
URGENT 13 POINTS!
The box plots below show the average daily temperatures in January and December for a U.S. city:
What can you tell about the means for these two months?
1.The mean for December is higher than January's mean.
2.It is almost certain that January's mean is higher.
3.There is no way of telling what the means are.
4.The narrow IQR for January causes its mean to be lower.
Please explain your answer
Answer:
The mean for december is higher than januarys mean.
Step-by-step explanation:
A triangle has an area of 36 square centimeters and a base of 6 centimeters. Find the height. a. 6 cm c. 18 cm b. 12 cm d. 10 cm
Answer:
B
Step-by-step explanation:
To find the height of a triangle given the area and the base, rearrange the area formula and plug in the known values. For an area of 36 square centimeters and a base of 6 centimeters, the height is calculated to be 12 centimeters.
Explanation:Finding the Height of a TriangleThe problem given states that a triangle has an area of 36 square centimeters and a base of 6 centimeters, and asks us to find the height. To solve this, we use the area formula for a triangle, which is Area = 1/2 × base × height. We have the area and the base, so we can solve for the height.
Step-by-step calculation:
Rearrange the area formula to solve for the height:Therefore, the height of the triangle is 12 centimeters (Answer b).
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O,60 is the same rotation as O,
-300
120
300
Answer:
-300
Step-by-step explanation:
A counter-clockwise rotation is positive.
A clockwise rotation is negative.
Start at the top and go counter-clockwise 60 degrees.
Start at the top and go clockwise 300 degrees.
You end up at the same point.
It is -300 because a clockwise rotation is negative.
Here is a link with my work:
https://docs.google.com/document/d/1qWHf3acY0HKyWf8hU-_CKpbPZO214G__EGPvn53vM2I/edit?usp=sharing
Hope this helps! :)
- 300 is the same rotation as O
What is rotation?Each point in a figure is transformed into a rotation by rotating it a specific amount of degrees around another point.
Given
A counter-clockwise rotation is positive.
A clockwise rotation is negative.
Start at the top and go counter-clockwise at 60 degrees.
Start at the top and go clockwise at 300 degrees.
It is -300 because a clockwise rotation is negative.
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help-------------------------------
Answer:
9π
Step-by-step explanation:
3²π = 9π
ANSWER
28.26 units square.
EXPLANATION
The area of a circle is given by
[tex]A = \pi \: {r}^{2} [/tex]
The radius of the circle is given as 3 units.
We substitute r=3 and π=3.14 into the formula to obtain:
[tex]A = 3.14 \: \times {3}^{2} [/tex]
[tex]A = 28.26sq. \: units[/tex]
Therefore the area of the circle 28.26 units square.
Jeanne babysits for $6 per hour. She also works as a reading tutor for $10 per hour. She is only allowed to work 20 hours per week. This week, her goal is to make at least $75.
A. Use a system of inequalities to model the scenario above. Let x represent babysitting hours and y represent tutoring hours.
B. Use the model created in part A to create a graph representing Jeanne’s probable income earned and possible number of hours worked this week.
C. Analyze the set of coordinate values that represent solutions for the model created in part A. Choose one of the coordinates within the solution and algebraically prove that the coordinate represents a true solution for the model.
A. We know that [tex]x[/tex] represents babysitting hours and [tex]y[/tex] represent tutoring hours.
Since she is allowed to work 20 hours per week, her babysitting hours plus her tutoring hours can't be more than 20 hours, in other words:
[tex]x+y\leq 20[/tex]
She babysits for $6 per hour and tutor for $10 per our. Since she wants to make at least $75, the sum of babysit hours and tutoring hours must be greater or equal $75, in other words:
[tex]6x+10y\geq 75[/tex]
Now we can put our inequalities together to create our system of inequalities:
[tex]x+y\leq 20[/tex] (1)
[tex]6x+10y\geq 75[/tex] (2)
B. To graph our system, we first need to find the equations of the lines bounding the inequalities. To do it we, are replacing the inequality sign with and equal and solving for [tex]y[/tex] in both inequalities.
For [tex]x+y\leq 20[/tex]
[tex]x+y=20[/tex]
[tex]y=20-x[/tex]
Now we can find the y and x intercepts to graph the line.
The y-intercept occurs when x = 0, so
[tex]y=20-0[/tex]
[tex]y=20[/tex]
The y-intercept has coordinates (0, 20)
The x-intercept occurs when y = 0, so
[tex]0=20-x[/tex]
[tex]-20=-x[/tex]
[tex]x=20[/tex]
The x-intercept has coordinates (20, 0)
For [tex]6x+10y\geq 70[/tex]
[tex]6x+10y=75[/tex]
[tex]10y=75-6x[/tex]
[tex]y=\frac{15}{2}-\frac{3}{5} x[/tex]
When x = 0,
[tex]y=\frac{15}{2}-\frac{3}{5} (0)[/tex]
[tex]y=\frac{15}{2}[/tex]
y-intercept = [tex](0,\frac{15}{2})[/tex]
When y = 0,
[tex]0=\frac{15}{2}-\frac{3}{5} x[/tex]
[tex]-\frac{15}{2}=-\frac{3}{5}x[/tex]
[tex]x=-\frac{15}{2}(-\frac{5}{3} )[/tex]
[tex]x=\frac{25}{2}[/tex]
x-intercept = [tex](\frac{25}{2} ,0)[/tex]
Now, since both inequalities have greater or equal/less or equal signs, the line bounding them are solid.
Now we can put it all together to create the graph of our system (check the attached picture).
The solution of the inequality is the shaded (purple) region where the two inequalities intercept.
C. As we can see in the graph the points (10, 5), (5, 8), and (2, 9) -as well as the x and y intercepts of both inequalities, are solutions of the system.
Let's choose the point (10, 5). To prove algebraically that the point is a valid solution of the system, we just need to replace the values in our system of inequalities and prove that both inequalities are true.
Since the point is (10, 5), x = 10 and y = 5
Replacing values in (1)
[tex]x+y\leq 20[/tex]
[tex]10+5\leq 20[/tex]
[tex]15\leq 20[/tex]
Since 15 is indeed less or equal to 20, the inequality is true.
Replacing values in (2)
[tex]6x+10y\geq 75[/tex]
[tex]6(10)+10(5)\geq 75[/tex]
[tex]60+50\geq 75[/tex]
[tex]110\geq 75[/tex]
Since 110 is greater or equal 75, the inequality is true.
Both inequalities are true, so (10, 5) represents a solution for the model.
Mairisa gets $8 per week for an allowance. She saves 25% of her allowance each week. How long will it take Mauritania to save $16. Question :#7
Answer:
8
Step-by-step explanation:
Answer:
It would take Mauritania about 8 weeks to save up $16.
Jessica is on a website that lets her build her own pizza for delivery. She has a budget of $14 (Not including tax or tip) to spend on her pizza. The pizza she wants costs $9.50 and includes 1 topping of her choice. She can also add additional toppings for $0.75 each.
We have found that Jessica can model this situation using the inequality
0.75(t−1)+9.50≤14 where t ≥ 1
Which of the following correctly states the amount of toppings Jessica can put on her pizza.
Select one:
a. Jessica can have up to 8 toppings on her pizza
b. Jessica can have up to 5 toppings on her pizza
c. Jessica can have up to 6 toppings on her pizza
d. Jessica can have up to 7 toppings on her pizza
Answer:
d. Jessica can have up to 7 toppings on her pizza
Step-by-step explanation:
We know that the inequality that gives us the number of toppings Jessica can put on her pizza is [tex]0.75(t-1)+9.50\leq 14[/tex] where [tex]t\geq 1[/tex], so, to find the number of topics we just need to solve the inequality.
Let's do it step-by-step
Step 1. Subtract 9.50 from both sides of the inequality
[tex]0.75(t-1)+9.50-9.50\leq 14-9.50[/tex]
[tex]0.75(t-1)\leq 4.50[/tex]
Step 2. Distribute 0.75 to the two terms inside the parenthesis
[tex]0.75t-0.75\leq 4.50[/tex]
Step 3. Add 0.75 to both sides of the inequality
[tex]0.75t-0.75+0.75\leq 4.50+0.75[/tex]
[tex]0.75t\leq 5.25[/tex]
Step 4. Divide both sides of the inequality bu 0.75
[tex]\frac{0.75t}{0.75} \leq \frac{5.25}{0.75}[/tex]
[tex]t\leq 7[/tex]
Jessica can put up to 7 topping on her pizza.
We can conclude that the correct answer is d. Jessica can have up to 7 toppings on her pizza
Please help with this
Answer:
x = 25
Step-by-step explanation:
Step 1: Make a proportion
40/20 = 50/x
Step 2: Solve your proportion
2 = 50/x
2x = 50
x = 25
Answer:
try using a ruler
Step-by-step explanation: