Answer: A total of 8 1/3 yards of fabric is needed for both pieces.
Step-by-step explanation: First, you must subtract 1/6 from 4 1/4 to figure out how many yards of fabric is needed for the matching jacket. To do this, you have to find common denominators for each fraction. Since the fractions have a least common denominator of 12, change each fraction to satisfy this new denominator: 1/6 changes to 2/12 and 4 1/4 changes to 4 3/12. Now, you must subtract: 4 3/12 - 2/12 = 4 1/12. Therefore, the matching jacket requires 4 1/12 yards of fabric. Next, add the amount of fabric for the dress (4 3/12) to the amount of fabric for the matching jacket (4 1/12): 4 3/12 + 4 1/12 = 8 4/12. Simplify 8 4/12 to get a final answer of 8 1/3 yards of fabric in total.
A particular dress requires 25/3 yards of fabric for manufacturing is needed for both pieces.
What are arithmetic operation?Arithmetic operations are a set of four basic operations to be performed to add, subtract, multiply or divide two or more quantities.
According to the question
A particular dress requires 4 1/4 yards of fabric for manufacturing.
If the matching jacket requires 1/6 yards less fabric.
Jacket need = [tex]4\frac{1}{4} -\frac{1}{6}[/tex]
= [tex]\frac{17}{4} -\frac{1}{6}[/tex]
= [tex]\frac{49}{12}[/tex]
Add the Jacket fabric and dress fabric
Together we need = [tex]\frac{17}{4} +\frac{49}{12}[/tex]
= [tex]\frac{100}{12}[/tex]
= [tex]\frac{25}{3}[/tex]
A particular dress requires 25/3 yards of fabric for manufacturing is needed for both pieces.
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A bag contains only green balls and red balls. A bal is tim
of taking a green ball is 038. Write down the probability of
a red ball
Answer:
It would be 0.62.
Step-by-step explanation:
This is because the total probability is 1 and the chance of it being a green ball is 0.38, so:
1 - 0.38 = 0.62.
What are the x-intercepts of this quadratic function?
g(x) = -2(x - 4)(x + 1)
A. (4,0) and (-1,0)
B. (-4,0) and (1,0)
C. (-4,0) and (-1,0)
D. (4,0) and (1,0)
Answer:
A. (4,0) and (- 1,0) is the answer
Can someone please help asap
Answer:
[tex]8 \sqrt{2} [/tex]
Step-by-step explanation:
8²+8²=(BC)²
64+64= 128
BC²=128
BC=
[tex]8 \sqrt{2} [/tex]
on Monday in December, it was -8 degrees Celsius in Harbin China and -2 degrees Celsius and Beijing China on Tuesday and Beijing it was 5 degrees colder than it was the day before what was the new temperature?
The required temperature in Beijing China is -7°C on Tuesday.
As mentioned in the numeral,
On Monday in December
The temperature in Harbin China is -8°C,
Now,
The Temperature in Beijing china is -2°C
According to the condition, the temperature on the next day in Beijing is 5° degrees colder than it was yesterday since the temperature is becoming colder implying that the temperature is getting decreased by -5°C.
The temperature on Tuesday is given as,
T = -2°C - 5°C [subtracting -5 because the temperature is decreased]
T = - 7°C
Thus, the required temperature in Beijing China is -7°C on Tuesday.
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Find the measure of angle A,
The value of the Angle A is 74.3°.
What is Relation between angle and Side of a triangle?The longest side is in opposition to the longest angle, and the shortest side is in opposition to the smallest angle, respectively.
The opposite of the longest side is the greatest angle, while the opposite of the shortest side is the smallest angle. According to the sides of a triangle rule, the lengths of any two sides of a triangle must add up to more than the length of the third side.
The comparable sides are proportionate and the angles are same. The sides that are opposite the same angle are the corresponding sides. For instance, if two triangles have a 90-degree angle on each side, Triangle A's opposing side will match Triangle B's opposite side.
We know:-AB/sin(c)=AC/sin(a)=BC/sin(b)
8/sin(a)=5/Sin37°
Angle= 74.3°.
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Carole worked her 40 regular hours plus 5 O.T. hours at time-in-a-half rate. Her gross pay was $1,163.75. What is her regular hourly rate?
Let her standard pay rate = x
She worked 40 hours for x per hour she also worked 5 hours at 1.5x ( time and a half)
Write an equation:
40x + 5(1.5x) = 1163.75
Simplify:
40x + 7.5x = 1163.75
Combine like terms:
47.5x = 1163.75
Divide both sides by 47.5
X = 24.50
Her regular hourly rate is $24.50
Answer:
let rate be x
by question
40x+7.5x=1163.75
x=1163.75/47.5=24.5
her regular income is $24.5 per hour.
6. What is the solution of the
system of equations?
3x – 2y = -9
4x + 3y = 22
A. (1, -6)
B. (-1, -6)
C. (6, 1)
D. (1,6)
Answer:
The solution is b
Step-by-step explanation:
3× -2y-9
4x +3y =22
Work out 2/3 - 2/5 in its simplest form
Answer:
It is in its simplest form
Step-by-step explanation:
Who is correct and why are they correct?
Answer:
Autumn is correct because it's a non-linear line. although it is positive, it's not straight.
Answer:
autumn is correct. is positive and is not a line
Help me and I’ll give you brainliest
Answer: 45°
Step-by-step explanation:
The diagonals in squares are axes of symmetry.
This means the cut the corner angles in half.
90° ÷ 2 = 45°
Which point(s) lie on the graph of the equation y = -5x - 3?
Plug in values of x to find corresponding values of y.
For example, replace x with 0 to find that...
y = -5x-3
y = -5*0 - 3
y = 0 - 3
y = -3
We have x = 0 lead to y = -3.
Therefore, the point (0, -3) is on this line. This is the y intercept.
Now try something like x = 1
y = -5x-3
y = -5*1 - 3
y = -5 - 3
y = -8
It shows the point (1,-8) is also on the line.
The straight line goes through (0,-3) and (1,-8)
We can repeat this process infinitely many times since there are infinitely many numbers to pick for x.
See the graph below. I used GeoGebra to make it, but you can use something like Desmos or similar.
A class in New Zealand found a report suggesting that teenagers' heights in New Zealand are approximately
normally distributed with a mean of 160 cm and a standard deviation of 15 cm. They thought the mean height
at their school was probably larger, so they took a random sample of n = 24 students. The mean height of
students in their sample was Ž = 166.5 cm.
To see how likely a sample like theirs was to occur by random chance alone, the class performed a simulation.
They simulated 80 samples of n = 24 heights from a normal population with a mean of 160 cm and standard
deviation of 15 cm. They recorded the mean of the heights in each sample. Here are the sample means from
their 80 samples:
Answer:
p-value≈0.025
Step-by-step explanation:
Khan Academy
From the stimulated results, the p-value of the test will be 0.025.
What is a p-value?It should be noted that a p-value simply means a measure of the probability which an observed difference could have occurred by random choice.
In this case, the class took a random sample of n = 24 students and the mean height of students in their sample was Ž = 166.5 cm.
The p value of 0.025 indicates that the hypothesis fails to account for the facts that were presented.
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Anything would help please
When the points are (2, 6), (2, -2), and (8 units), the polygon's or triangle's area is 8. ( 4 , -2)
what is triangle ?A triangle, which is a polygon, has three sides and three vertices. One of geometry's basic shapes is it. A triangle with the vertices A, B, and C is referred to as Triangle ABC. A unique plane and triangle are discovered in Euclidean geometry when the three points are not collinear. Having three sides and three corners, a triangle is a polygon. The triangle's corners are defined as where the three sides meet one another end to end. 180 degrees is the sum of the angles in a triangle.
given
area of the polygon ( triangle ) = 1/2 * b * h
= 1/2 * 4 * 4
= 8 units
so When the points are (2, 6), (2, -2), and (8 units), the polygon's or triangle's area is 8. ( 4 , -2)
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Lynn is making a snack. The recipes call for 38 cup of water for oats and 14 cup of water for dried fruit. She only has 1 cup of water. Does she have enough to make her snack? Explain.
Answer:
Below
Step-by-step explanation:
"Lynn is making a snack. The recipes call for 3/8 cup of water for oats and 1/4 cup"
(I changed the numbers to fractions ....)
she needs 3/8 + 1/4 cup ....add them together by finding a common denominator
1/4 = 2/8
then 3/8 + 2/8 = (3+2)/8 = 5/8 cup
if she has one cup of water she has enough....she only needs 5/8 cup
Two numbers total 31 and have a difference of 9. Find the two numbers.
Answer:
20, 11
Step-by-step explanation:
x=first Number
x-9=second number
above two added together=31 or
x+(x-9)=31
2x=40
x=20 first number
x-9=second number
20-9=11 second number
20 (first number) + 11 (second number)=31
31=31
I’ll give brainliest to whoever answers this
Answer:
[tex] V_{prism} = 222\: cm^3 [/tex]
Step-by-step explanation:
For bottom portion:
l = 8 cm, w = 6 cm, h = 2 cm
[tex] V_1= lwh = 8*6*2= 96 \: cm^3 [/tex]
For top portion:
l = 6 cm, w = 3 cm, h = 9 - 2 = 7 cm
[tex] V_2= lwh = 6*3*7= 126 \: cm^3 [/tex]
[tex] V_{prism} = V_1 + V_2[/tex]
[tex] V_{prism} = 96 + 126[/tex]
[tex] V_{prism} = 222\: cm^3 [/tex]
Another way:
[tex] V_{prism} = 8*6*9-6*5*7[/tex]
[tex] V_{prism} = 432-210[/tex]
[tex] V_{prism} = 222\: cm^3 [/tex]
Hannah runs down the street to catch her bus. She runs for a total of 12 seconds. On the sidewalk, she runs 16 feet per second. When she crosses the street, she runs 3 feet per second. Hannah runs a total distance of 127 feet.
How many seconds did Hannah spend running on the sidewalk? Enter your answer in the box.
Answer:
7 seconds that Hannah runs on the side walk
Step-by-step explanation:
let's A is the second that Hannah runs on the side walk.
and B is the second that Hannah runss on the cross street. Base on the information we have 2 equations for 2 unknowns .
A + B = 12
16 A + 3 B = 127 simply to add/subtract column we have
=> 16A + 3B = 127 (1)
3A + 3B = 36 (2) runs on the side walk.
And 12-7 =5 seconds is the time that Hannah runs on the cross street.
Hannah spend 7 seconds for running on the sidewalk.
Here,
Hannah runs down the street to catch her bus.
She runs for a total of 12 seconds.
On the sidewalk, she runs 16 feet per second. When she crosses the street, she runs 3 feet per second.
Hannah runs a total distance of 127 feet.
We have to find, How many seconds did Hannah spend running on the sidewalk.
What is Linear equation in two variables?
Linear equations in two variables is defined as, If a, b, and r are real numbers then ax + by = r is called a linear equations in two variables.
Now,
Let X is the second that Hannah spend running on the sidewalk.
And, Y is the second that Hannah runes on the cross the street.
Since, She runs for a total of 12 seconds.
⇒ X + Y = 12 .... (i)
And, On the sidewalk, she runs 16 feet per second. When she crosses the street, she runs 3 feet per second and Hannah runs a total distance of 127 feet.
⇒ 16 X + 3 Y = 127 ....(ii)
By solving equation (i) and (ii), we get;
⇒ X = 7 and Y = 5
Hence, Hannah spend 7 seconds for running on the sidewalk.
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**You should not need to round on this problem, no %'s decimals only**
At Houston Community College 60% of the students who take English will pass. Of those who pass English, 70% will also pass Accounting. Of those that do not pass English, 45% will still pass accounting.
a) Probability of student passed in English and Accounting [tex]= \frac{21}{50}[/tex]
b) Probability of Number of Student passed Accounting [tex]=\frac{3}{5}[/tex]
c) Given that student passed Accounting. Probability that they passed English = [tex]\frac{9}{125}[/tex]
What is Probability?The ratio of favorable outcomes to all possible outcomes of an event is known as the probability.
Here let us assume the Total Number of students is 100.
Students who passes in English = 60% of total number of students
= [tex]60*100/100=60[/tex]
Students who passes in English = 60.
Out of 60 students , 70% of 60 pass in Accounting = [tex]70/100*60=42[/tex]
So Student who passed in both English and Accounting = 42.
Also Number of student that do not passed in English = 100 - 60 = 40.
Out of these 40 students , 45% passes in Accounting = [tex]45/100*40=18[/tex]
So Number of student pass in Accounting but not in English = 18.
Total Number of student pass in Accounting = 42 + 18 = 60.
A) Number of student passed in English and Accounting = 42
Total Number of student = 100
Probability of student passed in English and Accounting= [tex]\frac{42}{100} = \frac{21}{50}[/tex]
B) Total Number of Student passed Accounting = 60
Total Number of student = 100
Probability of Number of Student passed Accounting = [tex]\frac{60}{100} = \frac{3}{5}[/tex]
C) Probability that student passed Accounting = 60/100.
Probability that student passed English = 60/100.
Given that student passed Accounting. Probability that they passed
English = [tex]\frac{60}{100} * \frac{60}{100} = \frac{3600}{10000} = \frac{9}{125}[/tex]
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Brain Builders
Use the graph for Exercises 24 and 25.
24. Before leaving the grocery store, Kenny wrote the
y-coordinate first and the x-coordinate second when telling
his sister where to meet him. To his surprise, she was at
the right location. If his sister did not make an error, where
did the siblings meet? Explain how you know.
The siblings met at the point (4,7). This can be determined by looking at the graph and seeing that the point (4,7) is the only point with an x-coordinate of 4 and a y-coordinate of 7.
What is coordinate?Coordinate refers to the pair of numbers used to identify the position of a particular point on a graph, map, or other two-dimensional plane. Each coordinate consists of an x-coordinate and a y-coordinate that indicate the horizontal and vertical position of the point, respectively. Coordinates can be used to plot points, draw shapes, and determine distances between points. For example, the coordinates (4, 7) would tell you that the point is located four units to the right and seven units up from the origin point. Coordinates can also be used to describe the location of a point in three-dimensional space, with the addition of a z-coordinate.
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just wasting points :P
Answer:
Ok Cool thx i guess.
Step-by-step explanation:
Its rectangle btw.
i need help im almost done and this is my second to last question probably helpppp
A person is standing 18 feet from the base of a tree and there's a bird's nest in the tree 10 feet above the ground. what is the angle of elevation from the person to the birds nest? round to the nearest tenth of a degree?
The angle of elevation from the person to the birds nest is 29^o.
What is angle of elevation?When an object is observed at an angle above the horizontal plane, the angle formed with the horizontal plane with the line of observation is called an angled of elevation. It is measured in degree by a clinometer.
From a sketch of the narration in the given question, we apply the appropriate trigonometric function since the triangle is a right angled triangle.
So, to determine the measure of the required angle of elevation of the bird's nest, we have;
Tan θ = opposite/ adjacent
Tan θ = 10/18
= 0.5556
θ = Tan^-1 0.5556
= 29.05
θ = 29^o
Thus, the angle of elevation from the person to the bird's nest is 29^o.
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please help me i really need help please
Answer:
Volume is 167.6
Step-by-step explanation:
V = pi*r²*h /3
V = pi*4²*10/3
V = pi*16*10/3
V = 50.26548246*10/3
V = 167.55
Choose an entree (steak, chicken, fish, or tofu), a side (mac & cheese, green beans, french fries, or bread), and a drink (water or soda)
Draw a tree diagram to the best of your abilities
A square is drawn on the coordinate plane. The endpoints of one of its sides are located at (-2,4) and (-2,-11). What is a perimeter?
Answer:
60
Step-by-step explanation:
see attachment for explanation
please help if you know how to do this. would be greatly appreciated. :)
Answer:
Area of given figure = 197.48 mi² (Approx.)
Step-by-step explanation:
Note;
Divide given figure into a semi-circle, rectangle, and square
Given:
Radius = 8 mi
Length of rectangle = 11 mi
Width of rectangle = 8 mi
Side of square = 3 mi
Find:
Area of given figure
Computation:
Area of given figure = Area of semi-circle + Area of rectangle + Area of square
Area of given figure = (π/2)(r²) + [L x B] + Side²
Area of given figure = (3.14/2)(8²) + [11 x 8] + 3²
Area of given figure = (1.57)(64) + [88] + 9
Area of given figure = 100.48 + [88] + 9
Area of given figure = 197.48 mi² (Approx.)
Imagine products you might create in a given amount of time: poems, baked goods, online videos, movie reviews, video game mods, scarves, drawings, or anything else you can picture yourself making as part of a small, one-person business. Choose and describe two such products. They will be product 1 and product 2
Producing written and visual content for social media can be divided into two items that can be developed as a one-person small business in a little amount of time.
What is social Media?Social media is internet communication that enables real-time information sharing and customer interaction. Social networking can help you: better connect with your audience. building online networks sell and publicise the goods and services you offer.
Social media's effects on business
The social media presence of businesses in order to boost visibility, engagement, positioning, and value creation for their intended audience has been facilitated by the digital revolution.
In order to help businesses establish their strategy in the digital environment, marketing and advertising agencies can quickly produce digital media such posters and catalogues in addition to advertising text as their core offerings.
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What is the area of this figure?
✵Answer:
144.5 cm²≛≛≛≛≛≛≛≛
[tex](AB)(AB)+1/2(DE)(DF)[/tex][tex](9)(13)+1/2(11)(5)[/tex][tex]117+1(11)(5)/2[/tex][tex]117+55/2[/tex][tex]117+27.7[/tex][tex]144.5 cm^2[/tex]✃--------------
hope it helps...
have a great day!!
Determine the amount of a semi-annual coupon paid for a 3% bond with a face value of 80,000 which matures after 15years.
The amount (present value) of a semi-annual coupon paid for a 3% bond with a face value of 80,000 which matures after 15 years is $80,000.
What is the price of a bond?The price of a bond is its present value.
The present value can be determined as the discounted cash inflows.
In this situation, we can determine the present value of the bond using an online finance calculator as follows:
N (# of periods) = 30 (15 years x 2)
I/Y (Interest per year) = 3%
PMT (Periodic Payment) = $1,200
FV (Future Value) = $80,000
Results:
Present Value (PV) = $80,000.00
Sum of all periodic payments = $36,000.00
Total Interest = $36,000.00
Thus, the amount of the bond is $80,000.
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To pay for a $15,900 car, Donna made a down payment of $4800 and took out a loan for the rest. On the loan, she paid monthly payments of $245.70 for 4
years.
(a) What was the total amount Donna ended up paying for the car (including
the down payment and monthly payments)?
(b) How much interest did Donna pay on the loan?
Total amount paid by Donna is $16,689.6 and interest paid is $789.6.
What exactly does a down payment mean?The cash up front paid by the buyer in real estate transactions and other significant purchases is known as a down payment on a house. For a property being used as a primary residence, down payments, which are typically a percentage of the purchase price, can range from as little as 3% to as much as 20%.
According to question:
Given,
Price of car= $15,900
Down Payment=$4800
number of months=12 x 4=48 month
Monthly payment=$245.70
Total amount Donna paid = Down payment+ all monthly installment
Total amount = $4800+ 48 x 247.70 =$16,689.6
Interest Paid = $16,689.6 - $15,900 = $789.6
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