The fraction of chocolate left in the box is [tex]\frac{1}{6}[/tex].
In mathematics, what is a fraction?A fraction is a portion of a larger whole. The number is expressed in arithmetic as a quotient, which is the numerator divided by the denominator. Both are integers in a simple fraction. A complex fraction contains a fraction in either the numerator or the denominator. A proper fraction has a numerator that is less than the denominator.
Given:
Andrew eat = 1/3 of the chocolate,
Jame eats =2/5 of the chocolate
Jenny eat =1/10 of the chocolate
According to the question,
Let the total chocolate = 1
Therefore as per the question,
Chocolate left = 1 – [1/3+2/5+1/10]
[tex]=1- [\frac{1}{3} +\frac{2}{5} +\frac{1}{10} ]\\=1 - [ \frac{10 + 12+3}{30} \\=1-\frac{25}{30} \\= 1 - \frac{5}{6} \\\\= \frac{1}{6}[/tex]
Threfore, the Fraction of chocolate left in box is [tex]\frac{1}{6}[/tex].
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A jewelry artist is selling necklaces at an art fair. It costs $135 to rent a booth at the fair. The cost of materials for each necklace is $4. 50. The artist is selling the necklaces at $12 each. The inequality 12n>135+4. 50n represents the situation in which the artist makes a profit. Will the artist make a profit if she sells 15 necklaces? show how you know. Write an inequality to show the number of necklaces, n, the artist must sell to make a profit. Show your reasoning. Enter your answers and your explanation in the space provided. You may also use the drawing tool to help explain or support your answer.
The jewelry artist does not make a profit if she sells 15 necklaces at an art fair .
An inequality to show the number of necklaces, n, the artist must sell to make a profit is
12n - 135 > 4.50n , n > 15 .
We have given that
A jewelry artist is selling necklaces at an art fair.
Cost of rent a booth at the fair = $135
Cost of materials of each necklace= $4.50
Selling price of each necklace = $12
The inequality for the artist's profit is
12n>135+4.50n
where n --> number of necklaces
We have to check that if number of necklaces sold by artist are 15 then she make a profit or not .
For this we plug n = 15 and check the inequality is statisfied or not ,
12×15 > 135 + 4.50×15
=> 180 > 220 , which is not true.
So, the artist does not make a profit if she sells 15 necklaces.
She has profit when selling price is greater than cost price of necklaces.
If we take total number of necklaces are "n".
then, Total cost price of 15 necklaces= $4.50× n
= $4.50n
Total cost payed by artist = $4.50n+$135
Total selling price of 15 necklaces = $12n
Profit if S.P >C.P or $12n > $4.50n+$135
=> 12n - 135 > 4.50n , n > 15
Hence, the required inequality is that
12n - 135 > 4.50n , n > 15 .
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help pleaseeeeeeeeeeeee
By using the slope intercept form of equation of line, it can be calculated that-
a) Equation of the graph
[tex]y = -\frac{5}{3}x +10[/tex]
b) Slope = [tex]-\frac{5}{3}[/tex]
It represents the ounces of ice cream reducing per minute when Katie has been eating the ice cream
c) y - intercept is 10.
It means Katie started eating with 10 ounces of ice cream
d) When y = 0, x = 6
It means Katie finished eating the ice cream in 6 minutes.
What is equation of line in slope intercept form?
The most general form of equation of line in slope intercept form is given by y = mx + c
Where m is the slope of the line and c is the y intercept of the line.
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = [tex]tan\theta[/tex]
The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.
The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.
a) From the figure, it is clear that the graph passes through (6, 0) and (0, 10)
Slope = [tex]-\frac{10}{6}[/tex]
Slope = [tex]-\frac{5}{3}[/tex]
Equation of the graph
[tex]y - 0 = -\frac{5}{3}(x - 6)\\\\y = -\frac{5}{3}(x - 6)\\\\y = -\frac{5}{3}x +10[/tex]
b) Slope = [tex]-\frac{5}{3}[/tex]
It represents the ounces of ice cream reducing per minute when Katie has been eating the ice cream
c) y - intercept is 10.
It means Katie started eating with 10 ounces of ice cream
d) When y = 0, x = 6
It means Katie finished eating the ice cream in 6 minutes.
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Answer now with steps and I will give Brainliest! Use picture below.
Answer:
Step-by-step explanation: Here is your answer 97
What is perimeter of a figure class 6?
The length of the boundary of any closed figure is called its perimeter.
Perimeter is calculated only of 2-dimensional shape, or a 1-dimensional length. This means that shapes like cubes, cones, and cylinders don't have a perimeter.
The perimeter of any shape is calculated by adding up the length of all its sides. A side is referred to as any continuous uninterrupted length of the shape between two points.
A point to be noted is that the perimeter of a circle is calculated by its radius and a mathematical number called pi. This is denoted by π. All other curved sides are calculated in a similar manner as well.
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help please, which graph is it
Answer:
it is the linear graph
hope it helps
What happens to a figure when you dilate by a scale factor less than 1 but greater than 0?
When you dilate the figure by a scale factor less than 1 but greater than 0, then the size of the figure decreases
The dilation is the one form of the transformation of the figure, the change the size of the figure
The scale factor is the ratio between the original size of the figure and the new size of the figure.
When the dilate the figure by a scale factor greater than one then the size of the figure increases, but when the scale factor is between 0 and 1 then the size of the figure decreases
Therefore, the size of the figure decreases after dilation
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Jacqui has 162 trading cards. She buys 25 more trading cards. Then, she puts her trading cards into a binder. Each page of the binder holds 9 cards. After filling as many pages as she can, Jacqui gives the rest of the trading cards to her brother.
Answer: She can fill up 21 packs or sets of 9
Step-by-step explanation: She has 162 then she adds 25 so that's 197 cards then we do 9 times 21 which is 189. So she has 8 left over to give to her brother.
If 3x + 7 = 20, what is 3x + 10?
Answer:
22.9
Step-by-step explanation:
22.9
3x+7=20
-7 -7
3x=13
/3 /3
x= 4.3
3(4.3)+10
12.9+10
22.9
(i think you put something in wrong. the answer usually shouldnt have a decimal)
What is the result when the number 20 is increased by 20%?
Answer:
When the number 20 is increased by 20%, the result is 24. To find this, first multiply 20 by 20%, which is 0.20. Then, add this result to the original number 20 to find the final result, which is 20 + 0.20 = 24.
Step-by-step explanation:
Morvinia raised $15 each Kilometer she walked while participating in walkathon. Her goal is to raise a maximum of $800 on Saturday and Sunday. On Sunday, she raised $375. What is the least number of kilometers Morvinia has to walk on Sunday to reach her goal?
Answer:B
Step-by-step explanation:hope this will solve your problem
Answer:B
Step-by-step explanation:
A baker is making cookies. The recipe calls for 1/2 cups of flour and 2 1/4 cups of sugar. How much flour does the baker need if he used 1 cup of sugar?
2/9 cups of flour is required for baker if he use 1 cup of sugar.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that the baker is making cookies.
The recipe calls for 1/2 cups of flour and [tex]2\frac{1}{4}[/tex] cups of sugar.
We need to find the flour required to baker for 1 cup of sugar.
Let us form a proportional equation.
x be the flour required for 1 cup of sugar.
[tex]2\frac{1}{4}[/tex] /1/2=1/x
Apply cross multiplication
9/4x=1/2
Divide both sides by 9/4
x=1/2×4/9
x=2/9
Hence, 2/9 cups of flour is required for baker if he use 1 cup of sugar.
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Given the force field F, find the work required to move an object on the given orientated curve. F(x,y) = (y,x) on the parabola y = 6x^2 from (0,0) to (2,24)
The effort needed to move an object along a curve that is specifically oriented. F(x, y) = (y, x) on the parabola y = 6x² from (0,0) to (2,24) is 48.
What is a parabola?A bowl-shaped object is defined as having a curve at the surface created by the intersection of a cone and a plane that is perpendicular to a straight line. Another definition of a curve is one created when a moving point moves such that its distance from a fixed point equals its distance from a fixed line. A quadratic function is known in this form as its standard form. A parabola is a U-shaped curve that represents the quadratic function on a graph.
The given parabola is,
y = 6x²
Here consider x=t
Then,
y=6t²(0≤t≤z)
The work done by F(x, y) would be:
W=[tex]\int\limits^_c[/tex]F.dr
=[tex]\int\limits^_c[/tex]([tex]y_{i} +x_{j}[/tex])(d[tex]x_{i}[/tex]+d[tex]y_{j}[/tex])
=[tex]\int\limits^_c[/tex]y dx + x dy
=[tex]\int\limits^2_0[/tex]((6t²)(1)+(t)(12t))dt
=[tex]\int\limits^2_0[/tex]18t²dt
=48
Therefore, the effort needed to move an object along a curve that is specifically oriented. F(x, y) = (y, x) on the parabola y = 6x² from (0,0) to (2,24) is 48.
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During the NCAA basketball tournament season, affectionately called March Madness, part of one team's strategy is to foul their opponent if his free-throw shooting percentage is lower than his two-point field goal percentage. Amos's free-throw shooting percentage is lower and is only 52.5%. After being fouled he gets two free-throw shots each worth one point. Calculate the expected value of the number of points Amos makes when he shoots two free-throw shots.
I’m not entirely sure but i believe it’s 1.05
Answer fast pleasee
Richard and Teo have a combined age of 48. Richard is 15 years older than twice Teo's age. How old are Richard and Teo?
Richard is 35 years old and Teo is 10 years old.
What is the linear function?
The difference between starting and final numbers is the percentage drop. It displays a percentage loss of value compared to the original regardless of the units. The difference between the initial and final amounts is the amount of decline.
We have,
Richard and Teo have a combined age of 48.
Richard is 15 years older than twice Teo's age.
Let the ages of Richard and Teo be R and T years old respectively.
R +T= 48 -----(1)
R= 2T + 15 -----(2)
Substitute (2) into (1):
2T +15 +T= 48
3T +15= 48
3T= 48 -15
3T= 33
T= 33 ÷ 3
T= 10.1
Substitute T= 10.1 into (2):
R= 2(10.1) +15
R= 20.2 +15
R= 35.2
R = 35
Hence, Richard is 35 years old and Teo is 10 years old.
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Triangle a is reflected in the x-axis to give b which is the reflected in the line y=x.
Triangle a is reflected in the x-axis to give b which is reflected in the line y=x. The coordinates of triangle C are (-5,4) , (-2,2) and (-2,4)
Coordinates for Triangle A are (4,5), (2,2), and (4,2)
Triangle B is created by reflecting triangle A along the x-axis.
The x-axis coordinates stay the same after reflection in the x-axis, while the y-axis coordinates go negative with the same magnitude.
Consequently, triangle B's coordinates are (4, -5), (2, -2), and (4,-2)
The x and y coordinates of triangle B are now reversed as it is reflected by the line y = x to create triangle C.
Triangle C's coordinates are (-5,4), (-2,2), and (-2,4)
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the probability of winning at a certain gambling game is 0.1. find the probability of you win for the first time on the third trial ?
the probability of you win for the first time on the third trial is 8.1%
What is probability?
By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.
the probability of winning at a certain gambling game is 0.1.
p=0.1
p(x) = (1-p)² *p
= 0.81*0.1
= 0.081
Hence the probability of you win for the first time on the third trial is 8.1%
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1. An amusement park charges a $10 entry fee and $2.50 a ride.
determine the slope and y-intercept of line that represents the linear relationship
Answer:
Slope: 2.5, Y-Intercept: 10
Step-by-step explanation:
We can set up an equation, with
y = 2.5x + 10
The slope is 2.5, and the y-intercept is 10.
Use the rise and the run from point C to point D to find the slope of the line.
What is the slope equal to?
Enter your answer as a fraction in the lowest terms, formatted like this: 42/53
Answer:
slope = -5/8
Step-by-step explanation:
Use the rise and the run from point C to point D to find the slope of the line.
C is at (7 , -2)
D is at (15 , -7)
slope = change in y / change in x
slope = (-2 - (-7)) / (7 - 15)
slope = (-2 + 7) / -8
slope = 5/-8
slope = -5/8
twice a number increased by 13 is 21
Answer: 2x + 13 = 21
Twice a number would be 2 times unknown, so that would be 2x then increased would be addition so 2x + 13 = 21
What is the rate of return when 20 shares of Stock
A, purchased for $15/share, are sold for $340? The
commission on the sale is $6.
Rate of Return = [?] %
Give your answer as a percent rounded to the
nearest tenth.
The rate of return of the Stock A, purchased for $15 per share and sold for $340, with a commission of the sale of $6, is given as follows:
11.3%.
How to calculate the Rate of Return?The Rate of Return is calculated as the different between the current value of the stock and the initial value of the stock, divided by the initial value of the stock.
20 shares were purchased at a value of $15 per share, hence the initial value of the stock in this problem is given as follows:
Initial value = 20 x 15 = $300.
The stock was then sold for $340, with a commission of $6, hence the current value of the stock is of:
Current value = 340 - 6 = $334.
Then the rate of return is calculated as follows:
Rate of return = 34/300 = 0.113.
As a percentage, the rate is given as follows:
0.113 x 100% = 11.3%.
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there is a line that includes the point ( 0, 10 ) and has a slope of 10. what is its equation in slope-intercept form?
Answer:
y=10x+10
Step-by-step explanation:
Remember, y=mx+b, where m is the slope and b is the y-intercept.
In this case, the slope, or m, is 10 and the y-intercept, or b, is 10. We then substitute m=10 and b=10 in and get the equation y=10x+10.
Solve the following
expression when y = 3.
y² - 2y
Answer:
3
Step-by-step explanation:
plug in 3 wherever y appears
3^2-2(3)
9-6
3
Hopes this helps
Answer:
y² - 2y = 3
Step-by-step explanation:
Given information,
→ y² - 2y
→ y = 3
Now the value of expression is,
→ y² - 2y
→ (3)² - (2 × 3)
→ 3² - 6
→ 9 - 6 = 3
Hence, value of expression is 3.
7. Brad is planning a garage sale. To direct customers to his house, he is painting six
arrow signs.
a) Calculate the area of one sign.
b) Each can of paint can cover 1 m².
How many cans of paint
should Brad buy for all six signs. Explain your answer.
The solution is
a) The area of the sign is 3950 cm²
b) The total number of cans of paint is 3 cans of paint
What is the Area of a Rectangle?
The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the total area of the sign be = S
Now , the area of the triangle be = T
Let the area of the rectangle be = R
The height of the triangle = 50 cm
The base of the triangle = 50 cm
So , the area of the triangle = ( 1 / 2 ) Height x Base
Area of Triangle T = ( 1/2 ) x 50 x 50
Area of Triangle T = 1250 cm²
Length of the rectangle = 90 cm
Width of the rectangle = 30 cm
Now , the area of rectangle R = Length x Width
Area of the rectangle R = 90 x 30
Area of the rectangle R = 2700 cm²
And , the area of the sign = Area of the rectangle R + Area of Triangle T
Substituting the values in the equation , we get
Area of the sign = 2700 cm² + 1250 cm²
Area of the sign = 3950 cm²
b)
Each can of paint covers = 1m²
So , Each can of paint covers = 10000 cm²
The number of signs = 6 signs
So , the total area of 6 signs = 6 x Area of the sign
The total area of 6 signs = 6 x 3950
The total area of 6 signs = 23700 cm²
And , the number of cans of paint for 6 signs = The total area of 6 signs / Area covered by each can
Substituting the values in the equation , we get
The number of cans of paint for 6 signs = 23700 / 10000
The number of cans of paint for 6 signs = 2.37 cans
The number of cans of paint for 6 signs ≈ 3 cans
Hence ,
a) The area of the sign is 3950 cm²
b) The total number of cans of paint is 3 cans of paint
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For positive acute angles A and B, it is known that sin A = 21/29 and tan B = 24/7
Find the value of cos(A - B) in simplest form.
The value of cos(A - B) in simplest form is 651/203.
What is acute angles?An acute angle is an angle that is less than 90 degrees, or less than a right angle. Acute angles are typically found in everyday life, such as the shape of a slice of pizza or the corner of a triangle. Acute angles are also found in shapes such as pentagons, hexagons, and octagons. Acute angles are important for engineering, architecture, and construction, as angles that are too wide or too small can affect the structural integrity of a building or other structure. Acute angles are also important in geometry, as they can be used to solve for the area, perimeter, and interior angles of a given shape.
We can use the formula for cos(A - B):
cos(A - B) = cos A cos B + sin A sin B
cos(A - B) = (21/29) * (24/7) + (21/29) * (7/24)
cos(A - B) = (504 + 147)/29 * 7
cos(A - B) = (651/203)
Therefore, the value of cos(A - B) in simplest form is 651/203.
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→Will give 80 points and brainliest!!←
Please don't give a link, and give the full answer, not just half.
Thank you!
A; The distance between the starting point to Obstacle 2 is 13 meters
B; There are 10 meters around one lap of course.
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
D = √[(x-p)² + (y-q)²]
Part A;
Starting point: (-12, 5); Obstacle 2: (0, 0)
(x₁, y₁) and (x₂, y₂)
Therefore,
d = √(x₂ - x₁)² + (y₂ - y₁)²
d = √(0 - (-12))² + (0 - 5)²
d = √(12)² + (- 5)²
d = √144 + 25
d = √169
d = 13 meters
B. Starting point: (-12, 5); Obstacle 2: (0, 0);
Obstacle 1: (-12, 0)
(Starting Point + Obstacle 2)
Now,
d = √(x₂ - x₁)² + (y₂ - y₁)²
d = √(0 - (-12))² + (0 - 5)²
d = √(12)² + (- 5)²
d = √144 + 25
d = √169
d = 13 meters
Therefore, (Starting Point + Obstacle 1)
d = √(x₂ - x₁)² + (y₂ - y₁)²
d = √(-12 - (-12))² + (0 - 5)²
d = √(0)² + (-5)²
d = √25
d = 5 meters
(Obstacle 2 + Obstacle 1)
d = √(x₂ - x₁)² + (y₂ - y₁)²
d = √(-12 - 0)² + (0 - 0)²
d = √(-12)² + (0)²
d = √144
d = 12 meters
Total = 12m + 5m + 13m = 30
30 ÷ 3 = 10 meters
we can conclude that 10 meters around one lap of course.
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c. The discount price of a l
a hat is $38. What is the regular price? Today, everything at the store is on sale. The store offers a 20% discount.
Answer:
the hat is $47.50.
Step-by-step explanation:
To determine the regular price of the hat, you can use the formula for calculating the sale price of an item, which is:
regular price * (1 - discount percentage) = sale price
In this case, we can set up the equation as follows:
regular price * (1 - 0.20) = $38
Solving for the regular price, we get:
regular price = $38 / (1 - 0.20)
regular price = $38 / 0.80
regular price = $47.50
Therefore, the regular price of the hat is $47.50.
Line c has an equation of y=-3/4x-3 Line d, which is parallel to line c, includes the point
(-2,-2). What is the equation of line d?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.
Submit
Work it out
Not feeling ready yet? These can help:
You ha
Vie
Answer:
Step-by-step explanation:
If the slope is parallel then it will be the same for the new equation. All you need to find is the y intercept.
y-(-2) = -3/4(x-(-2))
so y = -3/4x -7/2
A housing contractor has subdivided a farm into 100 building lots. She has designed two types of homes for these lots: colonial and ranch style. A colonial requires $30,000 of capital and produces a profit of $4000 when sold. A ranch style house requires $40,000 of capital and provides an $8000 profit. If the contractor has $3.6 million of capital on hand, how many houses of each type should she build for maximum profit? Will any of the lots be vacant?
What is the 1st square number answer?
The 1st square number answer is one.
A square number is an integer that is the square of another integer. It is also referred to as a perfect square. It is the result of multiplying the number by itself. The square number is an integer with the form n×n or n², where n is any positive integer.
The square number can only end with 0, 1, 4, 6, 9, or 25. The first ten square numbers are
1×1 = 1,
2×2 = 4,
3×3 = 9,
4×4 = 16,
5×5 = 25,
6×6 = 36,
7×7 = 49,
8×8 = 64,
9×9 = 81,
10×10 = 100.
The first square number from the above sequence is 1. Then, the answer is 1.
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A scale drawing of an ant uses a scale of 1 centimeter = 1.5 millimeters. If the actual ant is 5 millimeters long, find the length of the ant on the drawing.
Answer:
7.5 cm
Step-by-step explanation:
[tex]\frac{\ell}{5}=\frac{1}{1.5} \\ \\ \ell=7.5[/tex]
Answer:
7.5 cm
Step-by-step explanation:
7