Answer:
7/12 of an hour
Step-by-step explanation:
you add them, by finding the common denominator.
1/3=4/12
1/4=3/12
3/12+4/12=7/12
Shirley can sew a skirt in 0.8 hours. To the nearest tenth, how many skirts could she make in 10.08 hours
Answer:
12.6
Step-by-step explanation:
10.08/.8 = 12.6, dividing the amount of time by the amount of time to make a skirt to get the number of skirts she can make
An expression is shown below: 3pf2 − 21p2f + 6pf − 42p2 Part A: Rewrite the expression by factoring out the greatest common factor. (4 points) Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
The expression factoring out the greatest common factor is (3pf - 21p²)(f + 2).
We have the expression as
3pf² - 21p²f + 6pf - 42p²
Now, factorising the expression as
= 3pf² + 6pf - 21p²f - 42p²
= 3pf(f +2) - 21p²(f + 2)
= (3pf - 21p²)(f +2)
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PLEASE HELP ON QUESTION ASAP! 30PTS!
I WILL ALSO GIVE YOU A THANKS RATE YOU FIVE STARS AND MAYBE EVEN BRAINLIEST any silly answeres will be reported / deleted
Hiba needs 40g sugar to make 15 biscuits. she also needs three times as much flour as sugar . Hiba is going to make 60 biscuits . work out the amount of flour she needs .
how would i explain my students proportional reasoning
Answer:
proportional reasoning involved thinking about relationship and making comparisons of countries are values in the words of John went Diwali portion reasoning is difficulty find it is not something that you can or not to but is diploma over 3 reasoning
Please help with questions 1-4.
Observe the quantities, ie. see what happens if you increase one or decrease the other.
To simplify imagination, expose one quantity. I will expose y.
1.
\(-\frac{y}{4}=2x\implies y=-8x\)
So what is their variation or proportion? If I increase x then y is getting more and more negative. So is this direct or inverse or nothing? It is direct.
2.
\(14x=\frac{14}{y}\implies y=x, y\neq0\) again if I increase x then y will match, will also increase. This is again direct.
3.
\(y=\frac{13}{x}, x\neq0\) this time if I increase x, y will get smaller. When x is exactly 13, y will be 1 and when x is 10000, y will be 0.0013. This is inverse. One quantity gets really small when other quantity gets really big.
4.
\(y=x-2\) if I increase x then y will also increase even though by slightly less (-2) it will still increase. However since there is no multiplication this is not a direct variation nor is it inverse. It is nothing/no-variation.
Hope this helps :)
Find the volume of the shape.Round to 2 decimal places.22 cm14 cm
Solution:
Given:
The figure given is a cone.
\(\begin{gathered} where: \\ d=14cm \\ h=22cm \\ \\ Hence,\text{ } \\ r=\frac{d}{2}=\frac{14}{2} \\ r=7cm \end{gathered}\)The volume of a cone is given by:
\(\begin{gathered} V=\frac{1}{3}\pi r^2h \\ V=\frac{1}{3}\times\pi\times7^2\times22 \\ V=\frac{1078\pi}{3} \\ V=1128.879 \\ \\ To\text{ 2 decimal places;} \\ V\approx1128.88cm^3 \end{gathered}\)Therefore, the volume of the cone is 1128.88 cubic centimeter.
Find the slope of the line passing through the points: (2,4) and (1,3)
The slope of the line passing through points: (2,4) and (1,3) is 1
By definition, the slope or gradient of a line describes its steepness, incline, or grade. To calculate the slope of the line passing through the points we use the below formula,
\(m=\frac{Y_{2}-Y_{1} }{X_{2} -X_{1} }\)
\(Here ~Y_{2} = 3, Y_{1} =4 , X_{2}=1 ~ and~ X_{1} =2.\)
\(Hence, m=\frac{3-4}{2-1} =\frac{-1}{-1} \\~~~~~~~~~~~ m= 1.\)
In mathematics, a slope is a number that quantifies the steepness and direction of a line, or a portion of a line connecting two points and is commonly symbolized by m. In general, the absolute magnitude of a line's slope, m, is used to determine its steepness. The steeper the line, the greater the value. Based on the sign and value of m, it is feasible to establish the direction of the line that m describes.
The slope is defined as the change in height divided by the change in horizontal distance, and it is also known as "rise over run." It has applications in both geography and civil engineering, such as road construction. In the case of a road, the "rise" is the change in height, while the "run" is the difference in distance between two fixed places, as long as the distance for measurement is not so great that the earth's curvature is taken into account.
Hence slope of the line passing through points: (2,4) and (1,3) is 1
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Answer:
slope = 1
Step-by-step explanation:
slope = change in x /change in y
slope = 3 - 4 / 1 - 2
slope = -1 / -1
slope = 1
So slope = 1
TO DETERMINE THE AMOUNT OF WRAPPING PAPER NEEDED FOR A RECTANGULAR BOX, RYAN FINDS THE SURFACE AREA OF THE BOX. HOW MUCH WRAPPING PAPER IS NEEDED IF THE BOX MEASURES 11 cm by 2 cm by 4 cm?
Answer:
288
Step-by-step explanation:
A=2(11*4+11*7+4*7)
A=2(44+77+28)
A=2(149)
A=\(298 inches^{2}\)
To wrap the provided package, Ryan would need 148 cm² of wrapping paper.
What is Surface area?The area or region that an object’s surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has. There are numerous shapes and dimensions in geometry, including spheres, cubes, cuboids, cones, cylinders, etc. Each form has its own volume and surface area.
Given, the measures of the box are 11 * 2 *4 cm.
We need to find out how much wrapping paper would be required. to achieve that we need to calculate the surface area of the box.
From the general formula of the surface area of a cuboid.
Surface area = 2*(length*width + width * height + width * height)
in our case,
length = 11
width = 2
and height = 4
Thus,
Surface area = 2 (11*2 + 2*4 + 11*4)
Surface area = 2(22 + 8 + 44)
Surface area = 148 cm²
Therefore, Ryan would need 148 cm² of wrapping paper to wrap the box given.
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Please help answer my question
Answer:
x = 6
Step-by-step explanation:
This is a bit of a tricky equation, and it's what we call an exponential equation since it involves some exponents. The way we begin to solve these kinds of problems is make the base on each side of the equals sign the same. On one side, we have 9 as our base, and on the other side, we have 3 as our base. 9 = 3², so we can rewrite our equation as shown below:
(3²)⁴ˣ⁻¹⁰ = 3⁵ˣ⁻²
From there, we can use the exponent rule (xᵃ)ᵇ = xᵃᵇ to simplify the left side of the equation.
3²⁽⁴ˣ⁻¹⁰⁾ = 3⁵ˣ⁻²
3⁸ˣ⁻²⁰ = 3⁵ˣ⁻²
Since our bases are now the same, we can take just the exponents and turn it into a new equation as shown below:
8x - 20 = 5x - 2
Hopefully at this point, this problem becomes easy for you, but I'll show how I solved this new equation below in case it doesn't make sense.
8x - 20 = 5x - 2
8x - 20 - 5x = 5x - 2 - 5x
3x - 20 = -2
3x - 20 + 20 = -2 + 20
3x = 18
3x/3 = 18/3
x = 6
Hopefully that's helpful! Let me know if you need more help. :)
Classify AABC by its sides. Then determine whether it is a right triangle,
A(6, 6), B(9, 3), C(2, 2)
The triangle ABC seems to be an scalene triangle since all of the sides AB, BC and CA have different lengths, and also the triangle is not a right angled triangle.
What is a scalene Triangle?A scalene triangle is a type of triangle in which all three sides have different lengths. In other words, none of its sides are of equal length. As a result, all three angles in a scalene triangle are also different. It is different from an Isosceles triangle, where at least two sides are of equal length and an equilateral triangle where all sides are of equal length.
What is a right angled triangle?A right triangle is a type of triangle in which one angle is a right angle (90 degrees). This makes it different from other types of triangles such as acute triangle and obtuse triangle. The side opposite to the right angle is called the hypotenuse, and the other two sides are called legs. The Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. This theorem is used to determine if a triangle is a right triangle or not.
The triangle ABC is a scalene triangle, as its sides have different lengths.
To determine whether it is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides (legs) is equal to the square of the length of the longest side (hypotenuse).
To find the side lengths, we can use the distance formula, which is
d = √((x2 - x1)² + (y2 - y1)²)
AB = √((9 - 6)² + (3 - 6)²) = √(3² + (-3)²) = √18 = 3√2
BC = √((9 - 2)² + (3 - 2)²) = √(7² + 1²) = √50 = 5√2
AC = √((2 - 6)² + (2 - 6)²) = √(4² + 4²) = √32 = 4√2
We know that in a right triangle, one of the side should be the hypotenuse and the other two should be the legs. We can check if any one of the side is satisfying that. But in this case, we can see that none of the sides are satisfying that condition, therefore the triangle ABC is not a right triangle.
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The vector ⇀
= ⟨2, 3⟩ is multiplied by the scalar –4. Which statements about the components, magnitude, and direction of the scalar product –4⇀
are true? Select all that apply.
A. The component form of −4⇀
is ⟨–8, –12⟩.
B. The magnitude of −4⇀
is 4 times the magnitude of ⇀
.
C. The direction of −4⇀
is the same as the direction of ⇀
.
D. The vector −4⇀
is in the fourth quadrant.
E. The direction of −4⇀
is 180° greater than the inverse tangent of its components.
Answer:
Therefore, the correct statements are A, B, and E.
Explanation:
Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.
To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀
.
- The component form of −4⇀
is obtained by multiplying each component of ⇀
by –4. Therefore, −4⇀
= ⟨–8, –12⟩. This means that statement A is true.
- The magnitude of −4⇀
is obtained by multiplying the magnitude of ⇀
by 4. The magnitude of ⇀
is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀
is 4√13. This means that statement B is true.
- The direction of −4⇀
is opposite to the direction of ⇀
because the scalar –4 is negative. This means that statement C is false.
- The vector −4⇀
is in the third quadrant because its components are both negative. This means that statement D is false.
- The direction of −4⇀
is 180° greater than the inverse tangent of its components because it is opposite to ⇀
. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀
is 180° + tan^(-1)(3/2). This means that statement E is true.
Therefore, the correct statements are A, B, and E.
Solve the equation. Determine whether the equation has one solution, no solution, or
infinitely many solutions.
40 - 20 = -20 + 40
Answer:
20=20
Step-by-step explanation:
40-20=-20+40 or, 20=20
The rectangular prism above has two congruent square faces and four congruent rectangular faces. If the rectangular prism is divided into two equal parts by a plane passing through edges AB and HG, which of the following best describes the cross-section of the prism? 0 of 10 Answered D. E 24 B W. A X. A Y. Session Score: 0% (0/0) To Mar 28
Answer: the answer is W (rectangle)
Step-by-step explanation: if you have a rectangular prism, and cut it in half vertically, then look in the inside of the prism, you will see a rectangle.
An amazing app to help you visualize this geogebra
Heres a link to geogebra: gregebra.org/m/mzdznueh#material/hsgse469
If we have a rectangular prism, and cut it in half vertically, then look in the inside of the prism, you will see a rectangle. Therefore, the correct answer is option(A) W (rectangle).
What is rectangular prism?A rectangular prism is also known as a rectangular parallelepiped, is a three-dimensional solid shape with six rectangular faces.
It is a polyhedron with eight vertices, 12 edges, and six faces, where each face is a rectangle.
A rectangular prism is a type of prism because it has two identical and parallel faces, called bases, and the remaining four faces are rectangles that connect the corresponding edges of the bases.
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The complete question is mentioned below-
Graph the linear equation.
x = 6
Use the graphing tool to graph the linear equation.
The graph of the linear equation, x = 6, is shown in the image attached below.
How to Graph the Equation of a Vertical Line?The equation of a vertical line is given as x = b, where b is the x-intercept of the line. That is, b is the point on the x-axis where the line crosses.
Given the equation, x = 6, it means the line is a vertical line. Therefore, on the graph, the line would intercept the the x-axis at 6.
Thus, the graph of the linear equation, x = 6, is shown in the image attached below.
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Please help me!!!!!
George is going to paint baskets. Below is what one of them looks like:
a) How much paint will he need to paint the outside of one basket in squared cm?
To paint the outside of one basket, George will require 1190 square cm of paint, considering the dimensions of the cuboid as length: 17 cm, breadth: 17 cm, and height: 9 cm.
To calculate the amount of paint needed to cover the outside of one basket, we need to determine the total surface area of the cuboid.
The cuboid has a length of 17 cm, a breadth of 17 cm, and a height of 9 cm. Since the basket is open from the top, we only need to paint the sides.
The surface area of a cuboid is given by the formula:
Surface Area = 2(length * breadth + length * height + breadth * height)
Plugging in the values:
Surface Area = 2(17 * 17 + 17 * 9 + 17 * 9)
Simplifying the equation:
Surface Area = 2(289 + 153 + 153)
Surface Area = 2(595)
Surface Area = 1190 square cm
Therefore, George will need 1190 square cm of paint to cover the outside of one basket.
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IF CORRECT I WILL MARK BRAINLIEST
Select the correct answer.
Philip is snorkeling along a coral reef. He’s wearing an altimeter, which tracks his elevation. Philip snaps a picture of the reef at an elevation of --10 1/2 feet. Then he spots a nurse shark and swims to it for a closer look. By the time he reaches the shark, his elevation changes by
--3 1/2 feet. What is Philip’s elevation when he reaches the shark?
O-7 feet
O-8 feet
O-13 feet
O-14 feet
Answer:
- 7 feet (a)
Step-by-step explanation:
Answer:
Step-by-step explanation:
-14
(1/2)(-27Divided by 1/3) 2/3
The value of the quotient is - 27
How to determine the quotientTo determine the quotient, first, we have
(1/2)(-27Divided by 1/3) 2/3
\( \frac{1}{2} \times \frac{ - 27 \times 3}{1} \times \frac{2}{3} \)Multiply the numerator and denominator
=
\( \frac{ - 162}{6} \)
Then divide the numerator by the denominator, we get
= - 27
Thus, the value of the quotient is - 27
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a house increases in value by 10% in the first year after it is bought and by 12% in the second year after it is bought
what multiplier will give the value of this house after 2 years
The multiplier that will give the value of this house after 2 years is 2.22
What is multiplier?
The multiplier in this case means the extent to which the price of the house increases over the two-year period rather than the increase in individual years in years 1 and 2 which are denoted as 10% and 12%, in essence, we need to add 1 to the growth rate in the year in both years 1 and 2 respectively, then multiply the results together to arrive at the multiplier of the housing price
multiplier=(1+% increase in year 1)+(1+% increase in year 2)
% increase in year 1=10%
% increase in year 2=12%
multiplier=(1+10%)+(1+12%)
multiplier= 2.22
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A school with 340 students produces trash that fills 1,190 tall trash cans per week. If each student produces the same amount of trash, approximately how many trash cans does each student fill per week, written as a decimal?
Answer:
3.5 trash cans
Step-by-step explanation:
I divided 1,190 by 340 and got 3.5 trash cans
How to write 513,292 in expanded notation
Answer:
oh thats easy look so what you do is 500,000
13,000
1,000
200
90
Step-by-step explanation: 2
your welcome ^^
ANSWER THIS QUESTION ASAP DONT SEND A FILE AT ALL. WHATS THE ANSWER I HAVE A TIKE LIMIT HELPP ONLY ANSWER IF YOU KNOW THE ANSWER??!
Answer: The coordinates of B' after a dilation of a scale factor of 4 would be (-24, -20)
Explanation:
Multiply the coordinates of point B (-6, -5) by 4 to get: (-24, -20).
Kim ran 5 miles more than Jake last week. Kim ran 13 miles. How many miles did Jake run?
(please help quick, Thanks )
Answer:
Jake ran 8 miles.
Step-by-step explanation:
Subtract 5 from 13.
PLEASE HELP IM SO LOST
Answer: f(x) has an axis of symmetry at x = 4 and h(x) has an axis of symmetry at x = -2
Step-by-step explanation:
You can easily find the axis of symmetry by investigating around which line the functions are symmetrical about
for instance, in h(x), the graph is symmetrical on either side of x = -2, meaning that the line x = -2 cuts the parabola in 'half'
in f(x), this is a little harder to think about, but if you know how the graph will be shifted on the x-axis you can figure it out! In this case (x-4)^2 means that the graph will be shifted on the x-axis 4 units to the right (or from the origin to +4 on the X axis)
as such the line x = 4 will cut the function f(x) in 'half'
does 8x+5=8x have a solution when simplified
Step-by-step explanation:
In my opinion, none. ........
64X + 5=8x
8x+5=8x solution when simplified
the phone company charges $33 for having a smartphone plus $9.95 a month for 2gb. IF mark has only $146.43 to spend on a phone, how many months can he have the phone? inequalities
The number of months Mark can have the phone is given by the equation
A = 11.4 months
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of months be represented as = A
Now , the equation is
Now , the total amount with Mark = $ 146.43
The initial amount for the smartphone = $ 33
The amount per month for 2GB is = $ 9.95
So , the amount for A months = $ 9.95 ( A )
So , the equation will be
Initial amount for the smartphone + the amount for A months = total amount with Mark
Substituting the values in the equation , we get
33 + 9.95 ( A ) = 146.43 be equation (1)
On simplifying the equation , we get
Subtracting 33 on both sides of the equation , we get
9.95 ( A ) = 113.43
Divide by 9.95 on both sides of the equation , we get
A = 11.4 months
Therefore , the value of A is 11.4 months
Hence , the number of months is 11.4 months
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will mark brainliest if correct!
Answer:
240
Step-by-step explanation:
The shape is made up of a rectangle and a triangle.
area = LW + bh/2
area = 20 * 10 + 20 * 4/2
area = 200 + 40
area = 240
Al lanzar un dado determinar la probabilidad de que salga un número primo o un número mayor que 3
The probability of a prime number or a number greater than 3 coming up is given as follows:
5/6.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
When a dice is thrown, there are six possible outcomes, ranging from 1 to 6, and the desired outcomes are given as follows:
Prime numbers: 2, 3, 5.Non-prime greater than 3: 4 and 6.Hence the probability is given as follows:
5/6.
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3/8 of a scholarship fund was 1500 find the full amount of the scholarship fund
Answer:
The full scholarship fund will be 4000
Step-by-step explanation:
When doing these types of problems I like to do this.
1500 ÷ 3 = 500 (We do this because you want to find out what 1/8 is)
Since 500 is 1/8 of the part, all you have to do is multiply 500 by 8
500 × 8 = 4000
last week you sold 30,45,50,75 and 80 units each day of the week in that order . On average how many units did you sell per day?
Answer:
56 units
Step-by-step explanation:
add all numbers then divide by 5
30+45+50+75+80 = 280
280/5 = 56
How to calculate your bi-weekly paycheck based on 20 hour weeks at a rate of $9.00 per hour. Also, You will need to deduct Federal Income Tax (11.9%) , State Income Tax (3.6%), F.I.C.A (7.65%), and professional dues. Lastly you will need to look determine whether or not you will be able to pay your monthly car insurance bill of $200.00?
To calculate your bi-weekly paycheck, follow these steps:
Step 1: Calculate the gross earnings:
Multiply the number of hours worked per week by the hourly rate.
20 hours/week * $9.00/hour = $180.00/week
Step 2: Calculate the total earnings for two weeks:
Multiply the weekly earnings by the number of weeks in a bi-weekly pay period.
$180.00/week * 2 weeks = $360.00
Step 3: Calculate the deductions:
Calculate each deduction separately and subtract them from the gross earnings.
Federal Income Tax: $360.00 * 11.9% = $42.84
State Income Tax: $360.00 * 3.6% = $12.96
F.I.C.A: $360.00 * 7.65% = $27.54
Professional Dues: Amount varies depending on the specific dues.
Total Deductions: $42.84 + $12.96 + $27.54 + Professional Dues
Step 4: Calculate the net earnings:
Subtract the total deductions from the gross earnings.
Net Earnings = Gross Earnings - Total Deductions
Once you have the net earnings, you can determine if it is sufficient to cover your monthly car insurance bill of $200. If your bi-weekly net earnings are greater than or equal to $200, you will be able to pay your car insurance bill.
It is important to note that these calculations are based on the information provided, and actual tax rates and deductions may vary depending on your specific circumstances and location.
Additionally, professional dues may differ depending on your profession. It is recommended to consult with a tax professional or payroll department for precise calculations.
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