Sakura is making a mobile. She has a spool of twine that she cuts into
lengths of 5/6 foot, 0.75 foot, and 4/5 foot. The mobile will have pieces of
twine in lengths in order from shortest to longest.
the lengths?
In order to compare the lengths from the shortest to the longest, we need to convert all the fractions into decimals.
We are given the different lengths of the spool of twine that is being cut.
We have those lengths as:
5 / 6 foot
0.75 foot
4 / 5 foot.
To compare the lengths from the shortest to the longest, we need to first convert all the fractions into decimals.
So, we get that:
5 / 6 foot = 0.83 foot
4 / 5 foot = 0.80 foot
Now, we can arrange the lengths from the shortest to the longest.
0.75 foot, 0.80 foot, o.83 foot.
Therefore, we get that, in order to compare the lengths from the shortest to the longest, we need to convert all the fractions into decimals.
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Your question was incomplete. Please refer the content below:
Sakura is making a mobile. She has a spool of twine that she cuts into
lengths of 5/6 foot, 0.75 foot, and 4/5 foot. The mobile will have pieces twine in lengths in order from shortest to longest. A. What do you need to do before you can compare the lengths?
When extended, the periscope of a submarine is about eighteen feet above sea level. When retracted, the top of the periscope is ten feet below sea level. Suppose that a number line is used to represent this situation, with sea level at zero. Which number sentence describes the relationship between the distance from the surface to the top of the periscope when it is extended and the distance from the surface of the water to the top of the periscope when it is retracted?
The position of the periscope on the number line will lie at negative 10 for below sea level and at 18 for above sea level.
What is a number line?A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R."
It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.
Given that a submarine's periscope rises around 18 feet above sea level when fully deployed. The peak of the periscope is 10 feet below sea level when it is fully extended.
The periscope will be at negative 10 for levels below sea level and at 18 for levels above sea level on the number line. The image of the number line is attached with the answer below.
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adrian decorated 16 cupcakes in 28 minutes. if he continues at this pace, how many minutes will it take him to decorate 56 cupcakes?
Solution :
98 minutes will it take him to decorate 56 cupcakes
Time and Work – Introduction and Concept
Time and work deal with the time taken by an individual or a group of individuals to complete a piece of work and the efficiency of the work done by each of them.
Work Done = Time Taken × Rate of Work
Rate of Work = 1 / Time Taken
Time Taken = 1 / Rate of Work
If a piece of work is done in x number of days, then the work done in one day = 1/x
Total Work Done = Number of Days × Efficiency
Efficiency and Time are inversely proportional to each other
X:y is the ratio of the number of men who are required to complete a piece of work, then the ratio of the time taken by them to complete the work will be y:x
Adrian decorated 16 cupcakes = 28 minutes
adrian decorated 1 cupcakes = 28 minutes /16
Adrian decorated 56 cupcakes = 28 minutes /16 x56
= (28/16)x56
[tex]=\frac{28}{16} .56\\\\[/tex]
= 14/8. 56
=7/4.56
=7x14
= 98
98 minutes will it take him to decorate 56 cupcakes
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(WILL GIVE BRAINLEIST)
3. Maria wants to write a linear function to describe the cost of a cab ride. The cab costs $3 per ride plus an additional $0.20 per mile. a. What is the function that describes the cost of the cab ride for any number of miles? b. how much is the fare for a 15-mile trip? c. How far can she afford to travel if she only has 10$
Answer:
a. [tex]f(x) = 3 + 0.2x[/tex]
b. 6$
c. 35 miles
Step-by-step explanation:
There is a fixed price of $3 per ride, therefore, the y-intercept of the function would be $3, as she has to pay that amount for any amount of miles ridden in the cab.
In addition, she must add an extra $0.2 for every mile she has ridden in the cab. We can represent the amount of miles using the parameter [tex]x[/tex].
Therefore, the function to represent the cost of a cab-ride would be [tex]f(x) = 3 + 0.2x[/tex].
b. To find out how much she must pay for a 15-mile trip, we must substitute [tex]x = 15[/tex], as she has ridden 15 miles in the cab.
[tex]f(x = 15) = 3 + 0.2 \times 15 \to 3 + 3 \to 6[/tex]
She must pay $6 for the ride.
c. To find out how far she can travel if she only has $10, we would have to equalize the function to 10, as that is the final price she has to pay.
[tex]f(x) = 10\\\to 3 + 0.2x = 10\\\to 0.2x = 7\\\to x = 35[/tex]
For $10, she can travel 35 miles.
Answer: For $10, she can travel 35 miles.
Step-by-step explanation:
Multiply the number by 4 . Add 6 to the product. Divide this sum by 2. Subtract 3 from the quotient.
Answer:
[tex]2x[/tex]
Step-by-step explanation:
Let [tex]x[/tex] be the given number.
"Multiply the number by 4" [tex]\to 4x[/tex]
"Add 6 to the product" [tex]\to 4x + 6[/tex]
"Divide this sum by 2" [tex]\to \frac{4x + 6}2 \to 2x + 3[/tex]
"Subtract 3 from the quotient" [tex]\to 2x + 3 - 3 \to 2x[/tex]
What is true about triangle LMN? Check all that apply.
A. LM ⊥ MN.
B. The triangle is scalene.
C. The triangle is equilateral.
D. The triangle is isosceles.
E. The triangle is a right triangle.
ANSWER is A, D, E
The triangle LMN is an isosceles and right-angled triangle.
What is the triangle?
Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
Given:
In a given triangle is LMN
According to given question we have
An isosceles triangle is a triangle with two congruent sides and one unique side and angle.
An equilateral triangle is a triangle with three congruent sides and three congruent angles.
A scalene triangle is a triangle with no congruent sides and no congruent angles.
A right triangle is a triangle that has one right angle.
The triangle is right-angled because the line segment LM is perpendicular to the MN.
Therefore, the triangle LMN is an isosceles and right-angled triangle.
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Answer: 1, 4 and 5
Step-by-step explanation:
LM ⊥ MN
The triangle is isosceles
The triangle is a right triangle
The amount of oil imported to Country A from Country B in millions of barrels per day can be approximated by the
equation y = 0.064x + 1.49, where x is the number of years since 1975. Solve this equation for x. Use the new equation
to determine in which year the approximate
number of oil barrels imported from Country B per day will be 4.05 million.
The year in which the approximate number of oil barrels imported from Country B per day would be 4.05 million is 2,015.
What is a linear equation?A linear equation can be defined as an algebraic equation of the first order that has two (2) variables (x, y) with each of its term having an exponent of one (1).
In Mathematics, the standard form of a linear equation is given by the following:
y = mx + c
Next, we would solve the given linear equation for x:
y = 0.064x + 1.49
Subtracting 1.49 from both sides, we have:
4.05 - 1.49 = 0.064x + 1.49 - 1.49
4.05 - 1.49 = 0.064x
2.56 = 0.064x
x = 2.56/0.064
x = 40.
The year in which the approximate number of oil barrels imported from Country B per day would be 4.05 million is given by:
y = 1975 + x
y = 1975 + 40
y = 2,015.
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Vwxyz is a rectangular pyramid where WX is longer than XY. Is the slant height VA longer or shorter than the slant height VB? Explain your answer
In rectangular pyramid VWXYZ where WX>XY, then slant height VA shorter than the slant height VB.
As given,
In rectangular pyramid VWXYZ,
WX>XY
⇒(WX/2)>(XY/2)
⇒AX>BX
Draw perpendicular height VM and join AM and BM such that MAXB is a rectangle
AM=BX and BM=AX
So, BM>AM __(1)
In right triangle VMA and VMB,
VA and VB are slant height (hypotenuse)
VM=perpendicular height
AM and BM are base
VA=√VM² + AM²
VB=√VM² + BM² __(2)
From (1) and (2)
VA<VB
Therefore, in rectangular pyramid VWXYZ where WX > XY, then slant height VA shorter than the slant height VB.
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Mr John withdrew some of money from the bank .He gave 1 to his son and 1/3 to his daughters
1)if he had 500.00ghs that has left,how much did he take from his bank
if he had 500.00ghs that has left, he has withdrawn 3,000.00ghs from his bank.
What is the total amount withdrawn from the bank?The total amount that Mr. John withdrew from the bank is 1, which is the same as 100%, in other words, the fraction of the amount remaining is 1 minus 1/2 given to his son and 1/3 that was given to his daughter:
amount left=1-1/2-1/3let 6 be LCMamount left=(6-3-2)/6amount left=1/6500.00=1/5*actual amount actual amount withdrawn=500*6/1actual amount withdrawn=3,000.00 ghsFind out more about fraction on: brainly.com/question/10354322
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Full question: Mr. John withdrew some of money from the bank .He gave 1/2 to his son and 1/3 to his daughters1)if he had 500.00ghs that has left, how much did he take from his bank
Let f(x) = -3x + 2, g(x) = 12x³ - 18x² +24x, h(x) = -2x² +9, and j(x) = 3x. Find each value of
expression and then simplify.
g(x)/j(x)
Let f(x) = -3x + 2, g(x) = 12x³ - 18x² +24x, h(x) = -2x² +9, and j(x) = 3x. Find each value of
expression and then simplify.
g(x)/j(x)
After diving these two polynomials g(x) = 12x³ - 18x² +24x
by j(x) = 3x which is g(x)/j(x) simplifies to 4x² - 6x + 8.
What is an expression?An expression is a combination of numbers, variables and their operation that equates to something that is equal but in different form.
According to the given question f(x) = -3x + 2, g(x) = 12x³ - 18x² +24x,
h(x) = -2x² +9 and j(x) = 3x.
Asked that we have to find g(x)/j(x) which is [tex]\frac{12x^3 - 18x^2 +24x}{3x}[/tex].
now we can break this division into chunks because there is only one term in the denominator.
So, (12x³/3x) -(18x²/3x) + (24x/3x)
= 4x² - 6x + 8.
∴ g(x)/j(x) = 4x² - 6x + 8.
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Part 1: Write the equation of the graphed line in slope intercept (y= mx + b).
Answer:
1. y = 2x - 5
2. y = (-1/3)x
3. y = -4
4. y = (-3/4)x + 7
5. x = 6
6. y = -3x - 8
Step-by-step explanation:
1.
Point 1: (0, -5) Point 2: (-1, -7)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ -7 - (-5) -7 + 5 -2
m = ------------ = ----------- = ---------- = ------ = 2
x₂ - x₁ -1 - 0 -1 -1
y - y₁ = m (x - x₁)
y - (-5) = 2(x - 0)
y + 5 = 2x - 0
-5 -5
y = 2x - 5
----------------------------------------------------------------------------------------------------------
2.
Point 1: (0, 0) Point 2: (3, -1)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ -1 - 0 -1
m = ------------ = ----------- = ----------
x₂ - x₁ 3 - 0 3
y - y₁ = m (x - x₁)
y - (0) = (-1/3)(x - 0)
y - 0 = (-1/3)x - 0
-0 -0
y = (-1/3)x
----------------------------------------------------------------------------------------------------------
3.
Point 1: (0, -4) Point 2: (-5, -4)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ -4 - (-4) -4 + 4 0
m = ------------ = ----------- = ---------- = ------ = 0
x₂ - x₁ -5 - 0 -5 -5
y = -4
----------------------------------------------------------------------------------------------------------
4.
Point 1: (0, 7) Point 2: (4, 4)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 4 - 7 -3
m = ------------ = ----------- = ----------
x₂ - x₁ 4 - 0 4
y - y₁ = m (x - x₁)
y - 7 = (-3/4)(x - 0)
y - 7 = (-3/4)x - 0
+7 +7
y = (-3/4)x + 7
----------------------------------------------------------------------------------------------------------
5.
Point 1: (6, 0) Point 2: (6, 3)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 3 - 0 3
m = ------------ = ----------- = ---------- = undefined
x₂ - x₁ 6 - 6 0
x = 6
----------------------------------------------------------------------------------------------------------
6.
Point 1: (0, -8) Point 2: (-4, 4)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 4 - (-8) 4 + 8 12
m = ------------ = ----------- = ---------- = ------ = -3
x₂ - x₁ -4 - 0 -4 -4
y - y₁ = m (x - x₁)
y - (-8) = -3(x - 0)
y + 8 = -3x - 0
-8 -8
y = -3x - 8
I hope this helps!
I need help with geometry
Answer:
1.Pentagon
2.Rhombus
3.Hexagon
Nine friends go out to watch a movie at a movie theatre. Each row of the movie theatre has 10 seats but the last sit on the row has been reserved for a special guest. The friends will sit on the remaining seats. 5.1. How many ways can they arrange themselves on these remaining seats?
Nine friends can arrange themselves on the nine rows of movie theatre in 362,880 ways.
What is defined as the combination?A combination is a method of selecting objects from a collection in which the order of choice is irrelevant.The combination is described as "an arrangement of objects in which the order where the objects are chosen is unimportant." The combination means "selection of things," where the order is irrelevant.Combination is an a kind of permutation in which the order of such selection is ignored. As a result, the number of permutations is always greater than the amount of combinations.For the given question;
The total number of friends went to watch movie = 9.
The initial number of seats in movie theatre = 10
The seats left after the removal of one seat = 9
Thus, the nine friends can arrange on the 9 seats in 9! ways.
9! = 9×8×7×6×5×4×3×2
9! = 362,880
Therefore, the possible arrangement of 9 friends on remaining seats is 362,880.
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Consider 3 1/2 divided by 4. Pls show ur work
Answer: 7/8
Step-by-step explanation:
[tex]\displaystyle\\3\frac{1}{2} :4=\\\\\frac{3*2+1}{2}:4=\\\\\frac{6+1}{2}:4=\\\\ \frac{7}{2}*\frac{1}{4} =\\\\\frac{7*1}{2*4} =\\\\\frac{7}{8}[/tex]
Given −26.609 ÷ −0.59, find the quotient.
Answer:
45.10
Step-by-step explanation:
The "quotient" is the answer or result of a division problem. Look up "significant digits" if you want to know why I have the answer to two decimal places.
without using a calculator, covert the decimal to a simplified fraction. I NEED HELP PLEASE?????????????!!!!!!!!
Answer:
4/5
Step-by-step explanation:
In order to turn a decimal, in this case 0.8, you'll need to look at the placement of the decimal first. The placement of the decimal here is in the tenths. Thus meaning we will use 10 as the denominator. For the numerator you will use 8. Now we have 8/10. To simplify 8/10 you will divide 8/10 by 2. 8 divided by 2 is 4 (now the numerator). and 10 divided by 2 is 5 (now the denominator). 0.8 would be 8/10 as a fraction and the simplified version of 8/10 is 4/5.
can someone please wright an paragraph on the problem: -10 1/5 ÷2 4/5
Answer:
Paragraph
So, to start off this equation, you start with your mixed number, -10 1/5. Convert both mixed numbers to improper fractions, then multiply their numerators and denominators separately. Next, you must simplify. You simplify by converting improper fraction to mixed number. Then, you find the answer.
Hope this helps!
How far will you go if you travel 79 mph for 4.2 hours? Round your answer to the nearest hundredth.
Answer:
You would travel 331.80 miles
Step-by-step explanation:
79 × 4.2 = 331.8 rounded to the nearest hundredth is 331.8
What about the ratio of 8:3?
The ratio of 8:3 is 2. 67
What is ratio?Ratio can be defined as the mathematical comparison of two or more numbers indicating their sizes in relation to each other.
It also explains how many times a number of element contains another.
It is mathematical represented with the symbol ' : '
From the information given, we have to determine the ratio of 8 and 3
We need to take the quotient or division of the two values.
With this, we have the representation as;
= 8/3
Find the quotient
= 2. 67
Thus, the ratio of 8:3 is 2. 67
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simplify 4 x 18/6 x 5/5
Answer:
12
Step-by-step explanation:
4.18/6 * 5 over 5
72/6 *5 over 5
72/6 * 5 divided by 5
12.5 divided by 5
12 times 5 over 5
60/5
60 divided by 5
Please help, I will give you brainlest.
I really need help I am lost Thank you !
The solution to the composite functions are as follows:
f(g(x)) = x² + 4x + 4 / 2g(f(x)) = x² / 2 + 2How to solve composite function?The composite functions can be solved as follows:
f(x) = x² / 2
g(x) = x + 2
Therefore,
f(g(x)) = (x + 2)² / 2
f(g(x)) = (x + 2)(x + 2) / 2
f(g(x)) = x² + 2x + 2x + 4 / 2
f(g(x)) = x² + 4x + 4 / 2
Therefore,
g(f(x)) = x² / 2 + 2
g(f(x)) = x² / 2 + 2
Therefore, the solution to the composite functions are as follows:
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Which algebraic expression represents "the difference of 54 and a number"?
O 54-n
54
17
O 547
54+n
Answer:
A. 54 - n.
Step-by-step explanation:
In math, the word, "difference" means to subtract, because it is the result of subtracting.
A bank account balance is -$26 .If a second bank account balance is less than -$26,identify a possible balance. Write an inequality to compare the balances.
The inequality to compare the balances in the accounts x <-26
How to write an inequality to compare the balances in the accounts?Based on the given parameters in the question, the balances are given as
Bank Account Balance 1 = -$26
Bank Account Balance 2 is less than Bank Account Balance 1
This above balances can be represented as be expressed as
Bank Account Balance 2 is less than Bank Account Balance 1
So, we have
x is less than Bank Account Balance 1
In this case, the variable x represents balance 2
Express less than inequality using less than inequality symbol <
So, we have the following inequality expression
x < balance 2
Substitute -26 for balance 2
x < -26
Hence, the inequality to compare the balances in the accounts x <-26
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When Leroy went to bed, the temperature was
–
2°F. He needed his electric blanket to keep warm! By morning, the temperature had risen 9°F.
Answer:
;( no se tu problema
The ratio of rod cars to blue cars in a parking lot was 5: 3. If there were 40 red cars, how
many blue cars were there?
Answer: 24 blue cars
Step-by-step explanation:
Red | Blue
5 : 3
x8 x8
40 : ?
40 : 24
Match each system of equations to the inverse of its coefficient matrix, A-1, and the matrix of its solution, X.
The matching of each system of equations to the inverse of its coefficient matrix: (refer to the picture given below)
1st equation system (top left) = Image number 8Equation system (Image 10) = Image 4Equation system (Image 9) = Image 6Equation system (Image 7) = Image 2What do we mean by a matrix?A matrix (plural matrices) is a rectangle array or table of numbers, symbols, or expressions arranged in rows and columns that are used to represent a mathematical object or an asset of such an object in mathematics.After matching each system of equations to the inverse of its coefficient matrix: (refer to the picture given below)
1st equation system (top left) = Image number 8Equation system (Image 10) = Image 4Equation system (Image 9) = Image 6Equation system (Image 7) = Image 2Therefore, the matching of each system of equations to the inverse of its coefficient matrix: (refer to the picture given below)
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The complete question is given below:
Match each system of equations to the inverse of its coefficient matrix, A^-1and the matrix of its solution, X.
Answer:
shown in picture
Step-by-step explanation:
Joe, Thea, and Taylor invested in a partnership in the ratio 1:2:3, respectively. Years later, when the partnership was worth $1.2 million, Thea decides to go to graduate school and sells her part of the partnership to Joe. How much would Joe need to pay Thea to buy her share of the business?
Jeo need to pay $0.4 million to buy Thea’s share.
Given,
Ratio of investment of Joe, Thea, Taylor in the partnership = 1:2:3
Worth of partnership after some years = $1.2 million
Now, we can calculate the share of partners:
Total of investment = 1 + 2 + 3 = 6
1.2 / 6 = 0.2 million, this is the investment.
Now share of partners:
Joe’s share = 0.2 x 1 = $0.2 million
Thea’s share = 0.2 x 2 = $0.4 million
Taylor’s share = 0.2 x 3 = $0.6 million
From the above data’s we can conclude that Joe needs $0.4 million to buy Thea’s share.
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In a class of 45 students, there are 15 girls, what is the percentage of the class are boys
Answer:
75%
Step-by-step explanation:
To find the percentage of boys in the class, we must know how many boys are in the class.
The class has a total of 45 students. 15 of those students are females, so we know to 45 - 15 is the number of boys.
45-15=30
So now we now that there are 30 boys. To be more specific, 30 boys out of the 45 students. We can look at this as a fraction, which can be changed to a percentage/decimal. ([tex]\frac{30}{45}[/tex])
[tex]\frac{30}{45}[/tex] converted to a percentage is 75. This means that the percentage of boys in the class is 75%
Austin needs to buy a new lawnmower for $320 . this week they are discounted by 20% . what is the sale price ?
Answer:
Step-by-step explanation:
I need help with this exercise on Simplifying Logarithms.
Evaluate the following showing steps. Round the answer to three significant digits.
e^(4x-2) when x = 2
Answer:
Respuesta (ab³+))