The number of yards that she will need to make 8 uniforms and 15 uniforms will be 96 yards and 180 yards, respectively.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
A pattern for 1 uniform uses 12 yards of material. Boleslaw wants to know how many yards are needed for 8 uniforms will be given as,
⇒ 8 x 12
⇒ 96 yards
Chantal wants to know how many yards she will need to make 15 uniforms will be given as,
⇒ 15 x 12
⇒ 180 yards
The number of yards that she will need to make 8 uniforms and 15 uniforms will be 96 yards and 180 yards, respectively.
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Suppose a right cylinder was bent into a U-shape and was compared to another right cylinder. What can be said about their volumes?
Answer:
The volume of the U-shape will be half the volume of the original right cylinder.
Step-by-step explanation:
If we are given a right cylinder and it was bent into a U shaped then this U-shaped figure could also be considered as a half cylinder.
We could see from the figure attached how this shape looks like.
and now the volume of this half cylinder will be half the volume of the actual right cylinder.
Answer:
B) There is not enough information to tell since they are not between parallel planes.
Step-by-step explanation:
In order for Cavalieri's principle to be true, both cylinders must have the same cross section. They may or may not. The requirement of being between parallel planes was broken. Therefore -- There is not enough information to tell since they are not between parallel planes
One leg of a right triangle is 3 millimeters longer than the shorter leg and the hypotenuse is 6 millimeters longer than the shorter leg. find the lengths of the sides of the triangle.
Using the Pythagorean theorem and defining the shorter leg as 'x', we solve the equation x² + (x + 3)mm² = (x + 6)mm² to find that the shorter leg is 9 mm, the longer leg is 12 mm, and the hypotenuse is 15 mm.
Explanation:To solve for the lengths of the sides of a right triangle when given the difference in length between the legs and the hypotenuse, we can use the Pythagorean theorem, which states that for a right triangle with legs 'a' and 'b', and hypotenuse 'c', the relationship is a² + b² = c².
Let's define the length of the shorter leg as 'x'. According to the problem, the other leg is 'x + 3 mm' (3 millimeters longer than the shorter leg), and the hypotenuse is 'x + 6 mm' (6 millimeters longer than the shorter leg).
Applying the Pythagorean theorem, we get the equation:
x² + (x + 3)mm² = (x + 6)mm²
Expanding the squares and solving for 'x', we get:
x² + x² + 6x + 9 = x² + 12x + 36Combining like terms and simplifying gives us:x² - 6x - 27 = 0Factoring the quadratic equation, we find that (x - 9)(x + 3) = 0Since the length cannot be negative, we discard the negative solution and left with 'x = 9 mm'This means the shorter leg is 9 mm, the longer leg is 9 mm + 3 mm = 12 mm, and the hypotenuse is 9 mm + 6 mm = 15 mm.
Find the value of x. Round the length to the nearest tenth.
PLEASE EXPLAIN HOW YOU GOT THE ANSWER
If i am driving 63 miles an hour how long will it take to drive 441 miles
For the following question, use the equation d = rt, in which d is distance, r is rate, and t is time. How far is Grandmother's house if you must drive 4.5 hr through the woods at an average of 52 mi/hr to get there?
Using the equation for distance, which is the product of rate and time, the distance to Grandmother's house is calculated to be 234 miles.
Explanation:To solve this problem, you can use the given equation
d = rt,
where d stands for distance,
r indicates rate (or speed), and
t is the time.
In the question, the rate is given as 52 mi/hr and the time as 4.5 hr.
Substituting these values into the equation gives:
d = 52 mi/hr * 4.5 hr = 234 mi.
So, Grandmother's house is 234 miles away.
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Why is it that the limit as x approaches zero of sin3x all over x is 3?
The limit as x approaches zero of sin3x all over x is indeed 3.
Below is a step by step display of how to derive this answer.
4= square root of (-6-2x) plus square root of (31-3x)
Original equation
4 = √-6-2x+√31-3x
Isolate
-√-6-2x = -4+√31-3x
Tidy up
√-6-2x = 4-√31-3x
Raise both sides to the second power
(√-6-2x)2 = (4-√31-3x)2
After squaring
-6-2x = 31-3x+16-8√31-3x
Current equation
-6-2x = 31-3x+16-8√31-3x
Isolate radical on the left hand side
8√31-3x = 6+2x+31-3x+16
Tidy up
8√31-3x = 53-x
Raise both sides to the second power
(8√31-3x)2 = (53-x)2
After squaring
1984-192x = x2-106x+2809
Rearranged equation
x2 + 86x + 825 = 0
This equation has two rational roots:
{x1, x2}={-11, -75}
Original equation, root isolated, after tidy up
√-6-2x = 4-√31-3x
Plug in -11 for x
√-6-2•(-11) = 4-√31-3•(-11)
Simplify
√16 = -4
Solution does not check
4 ≠ -4
Original equation, root isolated, after tidy up
√-6-2x = 4-√31-3x
Plug in -75 for x
√-6-2•(-75) = 4-√31-3•(-75)
Simplify
√144 = -12
Solution does not check
12 ≠ -12
Hopefully this helped You
Use the factor theorem to determine whether the binomial x + 1 is a factor of the polynomial function ƒ(x) = 2x3 – 9x2 + 13x – 6.
x+1 is not a factor of f(x).
What is factor theorem?A polynomial can be factored and its roots can be discovered using the factor theorem. The polynomial remainder theorem is a special instance of this one. A polynomial f(x) has a factor (x-a), as was mentioned in the introduction, if and only if f(a) = 0.
Given:
ƒ(x) = 2x³ – 9x² + 13x – 6.
if x+1 is factor of 2x³ – 9x² + 13x – 6.
So, x= -1.
Then, 2x³ – 9x² + 13x – 6.
f(-1) = 2(-1)³ – 9(-1)² + 13(-1) – 6.
f(-1)= -2 - 9 - 13 - 6
f(-1) = -33.
Hence, x+1 is not a factor of f(x).
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does 4+3n2 has four term
Seven times a number minus the number is -48. Find the number.
A.)the number is -8
B.)the number is 8
C.)the number is 6
Find the measure of the third angle of a triangle given the measure of two angles are 63º and 22º.
A. 75°
B. 85°
C. 95°
D. 105°
Answer:
The answer C
Step-by-step explanation:
The ratio 5/10 is in simplest form
Find the sales price of the following item.
A toaster originally costing $39.99, marked down $8.50.
4.70
31.49
48.49
339.92
Answer:
The sales price is $31.49
Step-by-step explanation:
If the toaster has a marked down of $8.50 means that is a discount and you need to subtract this value from the originally costing, as follows:
Sales price = Original cost - Discount value
Sales price = [tex]39.99-8.50[/tex]
Finally, the sales price is $31.49
simplify 1,000^8=10^w
The value of [tex]w[/tex] is [tex]24[/tex].
Given:
The equation is:
[tex]1000^8=10^w[/tex]
To find:
The value of [tex]w[/tex].
Explanation:
We have,
[tex]1000^8=10^w[/tex]
[tex](10^3)^8=10^w[/tex]
[tex]10^{24}=10^w[/tex] [tex][\because (a^m)^n=a^{mn}][/tex]
On comparing the exponents of the same bases, we get
[tex]24=w[/tex]
Therefore, the value of [tex]w[/tex] is [tex]24[/tex].
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What is the length of a rectangle if the perimeter is 88 inches and the length is 2 inches more than the width?
The length of a rectangle is 33 inches.
What is a rectangle?The rectangle is a 2D shape having four sides and the opposite sides of the rectangle are equal and parallel. The sum of all angles of the rectangle is 360°.
We have,
The perimeter of the rectangle = 88 inches
And,
The length is 2 inches more than the width.
Now, Let,
Width of the rectangle = a
So,
Length of the rectangle = 3a
Now,
Using the formula of the perimeter of the rectangle,
i.e.
The perimeter of the rectangle = 2(Length + Width)
Now,
According to the question,
i.e.
88 = 2( 3a + a)
i.e.
8a = 88
We get,
a = 11,
i.e.
Width of the rectangle = a = 11 inches
So,
Length of the rectangle = 3a = 3 * 11 = 33 inches
Hence, we can say that the length of a rectangle is 33 inches and the width of the rectangle is 11 inches.
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How is the graph y=7x^2+4 different from the graph of y=7x^2
What is the rate of change for y=9x + 4?
Final answer:
The rate of change for the equation y=9x+4 is 9, representing a constant slope where for every unit increase in x, y increases by 9 units.
Explanation:
The rate of change in the linear equation y=9x + 4 is the coefficient of the x term, which represents the slope of the line. In this case, the rate of change is 9. This means that for every one unit increase in x, the value of y increases by 9 units. Since this is a linear equation, the rate of change is constant, meaning it does not change regardless of the value of x.
Find the Least Common Multiple of these two monomials:
14x^4y^6z^3 and 24x^6y^2z^8
64x^6y^6z^8
2x^4y^2z^3
168x^6y^6z^8
168x^10y^8z^11
LCM 14 & 24 = 168
then use the highest exponents for the variables
answer = 168x^6y^6z^8
kevin walked 3/4 of a mile in 12 minutes. assuming he walked at a constant speed the entire time, which expression can be used to determine the distance he walked each minute?
Answer:
We know that Kevin moved at a constant speed, so his movement can be model by:
[tex]d=st[/tex]
Where [tex]d[/tex] is distance, [tex]s[/tex] is speed and [tex]t[/tex] is time.
So, we can find the speed first, to then find the expression of the distance at any time:
[tex]s=\frac{d}{t}=\frac{\frac{3}{4}mi}{12min}\\s=\frac{3}{48}mi/min\\s=\frac{1mi}{16min}[/tex]
The ratio of his movement is 1 miles each 16 minutes.
Then, the distance at any minute would be:
[tex]d=\frac{1}{16}t[/tex]
This expression model the entire movement of Kevin, because it gives the distance he traveled at any minute.
For example, the first minute, Kevin covered a distance of:
[tex]d=\frac{1}{16}(1)=0.063 miles[/tex]
So, we could say that he travels 0.063 miles per minute.
Ifyou are asked to solve a system ofequations in which there is no linear equation to start with, you can sometimes begin by isolating and substituting a variable that is squared in both equations.
Which of the following shows the situation below in function notation??
Answer: The phrase is "The time it takes to read a book depends on the number of pages in the book"
so the time is the dependent variable and the pages are the independent variable.
Then you will have a function of the form Time(pages) in which you introduce a number of pages (the total number of pages in a book, in this case) and returns the time it takes to read them all. So the correct answer is A.
Andre and Sally are playing a number game. Andre tells Sally, "I'm thinking of a number between 1 and 20. If I take the number and add 5, and then subtract 3, I get 19." What number is Andre thinking of?
A bank sends its customers an e-mail when their accounts fall below -$10. Which inequality models this situation? A) a<-10 B) a>-10 C) a≥-10 D) a≤-10
Answer:
<−10
Step-by-step explanation:
Can a system of equations have more than one solution
Using the graph below, what are the common ratio and the general term equation, an, of the geometric sequence?
Hint: an = a1(r)n − 1, where a1 is the first term and r is the common ratio.
OPTIONS:
r = 1/2, a sub n = -16 (1/2) to the power of n-1
r = −2, an = −16(−2)n − 1
r = 2, an = −16(2)n − 1
r = -1/2, a sub n = -16 (-1/2) to the power of n-1
To find the common ratio and general term equation of the geometric sequence, we analyze the given graph and use the formula for the general term of a geometric sequence. By solving the equations (-16)(r)^(n-1) = -8 and (-8)(r)^(n-2) = -16, we find that the common ratio is 1/2 and the general term equation is an = -16(1/2)^(n-1).
Explanation:
To determine the common ratio and general term equation of the geometric sequence, we can examine the given graph.
From the graph, we can see that the first term is -16. Let's identify two points on the graph that correspond to consecutive terms. We can choose the points (-1, -8) and (-2, -16) as the graph passes through these points.
Using the formula for the general term of a geometric sequence, an = a1(r)^(n-1), we can substitute the given values (-16, r) and (-8, r^2) to find the common ratio and the general term equation.
By solving the equations (-16)(r)^(n-1) = -8 and (-8)(r)^(n-2) = -16, we find that the common ratio is 1/2 and the general term equation is an = -16(1/2)^(n-1).
Ray Np is an angle bisector of angle MNQ and measure of Angle PNQ = 2x+1. Find the measure of angle MNQ. If The measure of MNQ=x^2-10. Find the value of x, and the appropriate measure of angle MNQ
To find the measure of angle MNQ, we can set up an equation using the fact that ray NP is an angle bisector. Solving the equation gives us the value of x, and substituting that value back into the equation gives us the measure of angle MNQ.
Explanation:To find the measure of angle MNQ, we can use the fact that ray NP is an angle bisector of angle MNQ. This means that angle PNQ is half of angle MNQ.
We are given that angle PNQ = 2x + 1, so we can set up the equation 2x + 1 = (1/2)(x^2 - 10) to find the value of x.
Solving this equation, we get x = 5. Therefore, the measure of angle MNQ is 5^2 - 10 = 15 degrees.
Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha. Which is the best estimate of the speed Morris is traveling?
1 mile = 5,280 feet
45 miles per hour
46 miles per hour
47 miles per hour
48 miles per hour
Emma is an artist and has created seven paintings. She plans to paint three additional paintings each week. What statements are true of this scenario? Check all that apply.
Answers are 2, 3, and 4 on e d g e n u i t y
A beach ball has a diameter of 10 inches. What is the volume of air contained inside the beach ball? Use 3.14 for pi. Round your answer to the nearest hundredth.
Answer:
523.33 cubic inches
Step-by-step explanation:
A car rental company at a major airport on an average rents 70 percent of its fleet of 200 cars per day. The cars are rented for an average of 4 days. What is the average number of rentals processed per day?
To find the average number of car rentals processed per day, we first calculate that 70% of the 200-car fleet equates to 140 cars. Each car is rented for 4 days, so, therefore, the total number of cars rented in four days is 560. Hence, the average daily rentals are 140 cars.
Explanation:To calculate the average number of car rentals processed per day, we need to consider that the company rents 70% of their 200-car fleet daily. That is, 70/100 * 200 = 140 cars.
Since each car is rented for an average of 4 days, each day's rentals represent 1/4 of the number of cars that will be rented over the next four days. Therefore, the total number of cars rented in four days would be divided by 4 to get the daily average. In this case, it's 140 * 4 = 560, and 560 / 4 = 140 car rentals per day.
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