5/16 ÷ 5/12
3 1/5 • 2 3/4
6 3/8 ÷ 2 1/4
i need all of these to be reduced to lowest term, if someone could do a step by step process that'd be great. thank you :)
Answers
Answer:
1.) 3/4
2.) 44/5 or 8 4/5
3.) 17/6 or 2 5/6
Step-by-step explanation:
1.) 5/16 ÷ 5/12
To divide a fraction by another fraction, reciprocate (put the numerator to denominator and vice versa) the divisor then change the sign to multiplication:
5/16 × 12/5
5 × 12 / 16 × 5
Cancel out 5 since both numerator and denominator has it:
12 / 16
Divide both by 4:
12 ÷ 4 / 16 ÷ 4
3/4
2.) 3 1/5 • 2 3/4
You have to convert the fractions first to improper fractions by multiplying the denominator to the whole number then adding the numerator to the product:
3 1/5 = 3×5 + 1 = 16/5
2 3/4 = 2 × 4 + 3 = 11/4
Now you can multiply the numerator to numerator then denominator to denominator:
Since 16 is a factor of 4, you can cancel it out, which leaves 4:
16 / 5 × 11/4
4 × 11 / 5 × 1
44/ 5
3.) 6 3/8 ÷ 2 1/4
Convert to improper fraction:
6 3/8 = 6× 8 + 3 = 51/8
2 1/4 = 4 × 2 + 1 = 9/4
(51 × 4)/ (9×8)
51 × 1/ 9× 2
51 / 18
Divide by 3:
17/6
Related Questions
Choose the best selection for thequadrilateral with vertices at thefollowing points:(0,0), (1,3), (5,0), (6,3)Hint: Start by graphing the points.Distance Formula: d= 7(x2 – x1)2 + (y2 - y1)2A. RectangleB. TrapezoidC. RhombusD. Parallelogram
Answers
Solution
We have the following coordinates:
(0,0), (1,3), (5,0), (6,3)
We can find the distance between the vertices like this:
\(d=\sqrt[]{(1-0)^2+(3-0)^2}=\sqrt[]{10}\)\(d=\sqrt[]{(5-0)^2+(0-0)^2}=5\)\(d=\sqrt[]{(6-0)^2+(3-0)^2}=\sqrt[]{45}\)\(d=\sqrt[]{(5-1)^2+(0-3)^2}=5\)\(d=\sqrt[]{(6-5)^2+(3-0)^2}=\sqrt[]{10}\)\(d=\sqrt[]{(6-0)^2+(3-0)^2}=\sqrt[]{45}\)Then the correct answer for this case is:
D. Parallelogram
The formula C = f1 relates the speed (C), frequency (f), and the wave (d) of light.
Choose from the drop down lists to complete the sentence:
Answers
Answer:
Step-by-step explanation:
Angie is x years old.
Mandy is 22 years older than Angie.
In 2 years’ time, Mandy will be twice Angie’s age.
Calculate Angie and Mandy’s current age.
Answers
The Angie and Mandy’s current age are 22 and 44 years respectively.
Explain about the term linear equations?There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as this same denominator of either a fraction in a linear equation.The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.Angie is x years old.
Mandy = 22 + x
After 2 years:
22 + x = 2x
Solving linear equation:
22 = 2x - x
22 = x (Angie’s current age)
Mandy’s current age.
x + 22 = 22 + 22
x = 44
Thus, the Angie and Mandy’s current age are 22 and 44 years respectively.
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Find the solution set for this equation.
y2 + 2y = 0
comma.
Separate the two values with a comma.
Answers
y= 0,-2
Hope this helps!
what expresses the specific number of instances in an entity
Answers
The specific number of instances in an entity is typically expressed using the term "count" or "quantity."
It represents the numerical value that indicates how many individual instances or objects are present within a given entity or set.
For example, if you are referring to the number of students in a classroom, you might say, "The count of students in the classroom is 25." Here, "25" represents the specific number of instances (students) within the entity (classroom).
Similarly, if you are discussing the quantity of apples in a basket, you might say, "The quantity of apples in the basket is 10." In this case, "10" represents the specific number of instances (apples) within the entity (basket).
So, "count" or "quantity" are the terms commonly used to express the specific number of instances in an entity.
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True or false: Weight which is less than 85% of what is considered normal for age and height is a main characteristic of bulimia nervosa.
Answers
The statement refers to anorexia nervosa and not bulimia nervosa. Therefore, the statement is FALSE.
What is Bulimia Nervosa?Bulimia nervosa can be described as an eating disorder whereby an individual eats a lot of food without control and afterwards try to purge themselves to get rid of extra calories.
On the other hand, a similar eating disorder that is characterized with fear of being overfat but also follows with abnormal excessive weight loss is called anorexia nervosa.
Therefore, the statement refers to anorexia nervosa and not bulimia nervosa. Therefore, the statement is FALSE.
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a bag of chocolates is labeled to contain 0.384 pounds of chocolate. the actual weight of the chocolates is 0.3798 pounds. how much lighter is the actual weight?
Answers
The actual weight is 0.0042 pounds lighter than the labeled weight.
The actual weight of the chocolates is 0.3798 pounds, while the label on the bag states it should weigh 0.384 pounds. To determine how much lighter the actual weight is, we can calculate the difference between the two weights.
Subtracting the actual weight from the labeled weight, we get:
0.384 pounds - 0.3798 pounds = 0.0042 pounds.
Therefore, the actual weight is 0.0042 pounds lighter than the labeled weight.
It's important to note that this difference may seem small, but it can be significant depending on the context. Accuracy in labeling is crucial for various reasons, such as complying with regulations, providing precise information to consumers, and ensuring fair trade practices. Even minor discrepancies can impact trust and customer satisfaction.
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What is 709,385 rounded to the hundred thousands place?
Answers
Answer:
700,000
Step-by-step explanation:
Answer:
700,000
Step-by-step explanation:
7 is the hundred thousand place.
You can't round up, so you replace all the numbers besides 7 with 0's.
The number 4 is a solution to:
7-n 23
True
False
yright © 2003-2021 Acellus Corporation. All Rights Reserved.
Answers
Answer:
true
Step-by-step explanation:
\(7 - x \geqslant 3\)
\(7 - 7 - x \geqslant 3 - 7\)
\( \frac{ - x}{ - 1} \geqslant \frac{ - 4}{ - 1} \)
\(x \leqslant 4\)
Find the midpoint of the line segment joining points A and B
A(8,- 7); B(2,3)
Answers
(5 , -2)
Step-by-step explanation:
mid point = ( (X1 + X2)/2 , (Y1 + Y2)/2 )
= ( (8 + 2)/2 , (-7 + 3)/2 )
= (5 , -2)
NEED HELP ASAP.
Nico's band is recording their first studio album at Minoru Studios. The studio's day
rate is $180 per day with a fee of $20 per hour for their sound engineers. The band
has $300 and they think they can earn up an additional $60 off merch sales.
What is the range of hours the band can record at the studio within their budget? Please put in interval notation.
Answers
The band has $300 + $60 = $360 to spend on recording the album.
what is equation?
An equation is a statement of equality between two expressions, usually involving one or more variables. It is written in the form of "expression1 = expression2" or sometimes "expression1 + expression2 = expression3" and so on. The goal is to find the value of the variable(s) that makes the equation true. Equations can be used to model real-world situations and can be used to make predictions and solve problems. There are different types of equations like linear equations, quadratic equations, polynomial equations, differential equations, etc. Each type has its own method of solving them and they can be solved using algebraic and/or numerical methods.
Let H be the number of hours recorded in the studio.
The total cost of recording in the studio for H hours is
$180 + $20H = $180 + $20H = $180 + $20H
The band can record for H hours if the cost is less than or equal to their budget, so we have:
$180 + $20H <= $360
Solving for H, we get:
$20H <= $360 - $180 = $180
$H <= 9
So, the range of hours the band can record at the studio within their budget is [0,9] in interval notation.
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—330 + 450 need help !!!!!!!
Answers
hope that helps
Answer:
120
Step-by-step explanation:
use a calculator (if you have one )
Cody earned $8 for each dog he walks. He also earns $10 for doing chores at home. What will Cody earn if he walks 1, 2, or 3.
Answers
Answer:
If he walks 1 dog he will make 8$ if he walks two dogs he will earn 16$ if he walks 3 dogs he will make 24$
I don’t know the answer to pick can you help choose what the correct statement about the graph is thanks.
Answers
13
1 point
in the reaction cu + no + h3o+ cu2+ + no + h20, the coefficients of the balanced equation are
3,2,8,3,2,12
4,3,2,4,3,1
o 6.1, 2, 6, 1, 1
1, 2, 2, 1, 1,1
Answers
The coefficients of the balanced equation for the reaction Cu + NO + H3O+ → Cu2+ + NO + H2O are 1, 1, 3, 1, 1, 3.
In the given reaction, Cu + NO + H3O+ -> Cu2+ + NO + H2O, we need to determine the coefficients of the balanced equation.
To balance a chemical equation, we must ensure that the number of atoms of each element is the same on both sides. Let's go through the process step by step:
First, we start with copper (Cu) atoms. We have one copper atom on the left side and one copper atom on the right side. So far, the coefficients are 1, _, _, _, _, _.
Next, we move on to nitrogen (N) atoms. We have one nitrogen atom in the nitric oxide (NO) molecule on the left side, and one nitrogen atom in the nitric oxide (NO) molecule on the right side. The coefficients are 1, _, _, 1, _, _.
Then, we consider hydrogen (H) atoms. We have three hydrogen atoms in the hydronium ion (H3O+) on the left side and two hydrogen atoms in the water (H2O) molecule on the right side. We need a coefficient of 2 for the water molecule to balance the hydrogen atoms. The coefficients are 1, _, _, 1, _, 2.
Now, let's look at oxygen (O) atoms. We have one oxygen atom in the nitric oxide (NO) molecule on the left side and one oxygen atom in the water (H2O) molecule on the right side. We also have three oxygen atoms in the hydronium ion (H3O+) on the left side. We need a coefficient of 3 for the water molecule to balance the oxygen atoms. The coefficients are 1, _, _, 1, _, 3.
Lastly, we consider copper (Cu2+) ions. We have one copper ion on the right side, so we need a coefficient of 1 for Cu on the left side. The coefficients are 1, _, _, 1, 1, 3.
To simplify the coefficients, we can divide all of them by the greatest common divisor, 1. The balanced equation with the smallest coefficients is:
Cu + NO + 3H3O+ -> Cu2+ + NO + 3H2O
In summary, the coefficients of the balanced equation are 1, 1, 3, 1, 1, 3.
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Which size jar of jelly shown in the table had the lowest unit price?
Answers
Answer:
10
Step-by-step explanation:
One of the most common types of volcanoes is called a cylinder cone volcano. These types of volcanoes are the smallest type of volcano, ranging between 300 feet and 1200 feet tall, and are in the shape of a cone.
Find the volume of a cinder cone volcano with a height of 350 feet and a diameter of 1100 feet. Use 3.14 for and round your answer to the nearest cubic foot.
Answers
The volume of a cinder cone volcano will be 110872040 cubic feet.
What is the volume of a cone?The volume of a cone is defined as the amount of space occupied by a cone in a three-dimensional plane.
The volume of the cone (V) = 1/3 πhr²
Given,
Radius of cone (r) = 1100/2 = 550 feet
Height of cone (h) = 350 feet
The volume of a cinder cone volcano = 1/3 πhr²
Substitute the values of h and r,
The volume of a cinder cone volcano = 1/3 × 3.14× (550)² × (350)
The volume of a cinder cone volcano = 110872040 cubic feet.
Thus, the volume of a cinder cone volcano will be 110872040 cubic feet.
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Jea need $140 to buy a bicycle. He ave $10 each week. He ha already aved $60. How many week from now can jea buy the bicycle
Answers
If Jea has $60, he will need 80 more dollars to afford the bicycle. If he gets paid $10 a week, it will take him 8 weeks
Let S, T , X, and Y be subsets of some universal set. Assume that
242 Chapter 5. Set Theory
(i) S [T X [Y; (ii) S \T D;; and (iii) X S.
(a) Using assumption (i), what conclusion(s) can be made if it is known that a 2 T ? (b) Using assumption (ii), what conclusion(s) can be made if it is known that a 2 T ? (c) Using all three assumptions, either prove that T Y or explain why it
Answers
Set theory is a branch of mathematics that deals with the study of sets, which are collections of objects. A subset is a set that contains only elements that belong to a larger set, called the universal set. In this context, let S, T, X, and Y be subsets of some universal set.
Assuming that S [T X [Y, we can conclude that if a belongs to T, then a belongs to S or a belongs to X or a belongs to Y. This is because T is a subset of S [T X [Y, and any element in T must belong to at least one of these sets.
Assuming that S \T D, we can conclude that if a belongs to T, then a does not belong to S. This is because S \T is the set of elements that belong to S but not to T, and D is the empty set, meaning that there are no elements in the set. Therefore, if a belongs to T, it cannot belong to S \T, and so it must not belong to S.
Assuming that X S, we can use all three assumptions to prove that T Y. Suppose that a belongs to T. Then, using assumption (i), we know that a belongs to S or a belongs to X or a belongs to Y. But since a cannot belong to S (using assumption (ii)), we must have either a belongs to X or a belongs to Y. But since X is a subset of S (using assumption (iii)), we know that if a belongs to X, then a belongs to S. Therefore, we must have a belongs to Y. This holds for any element a in T, so we can conclude that T Y.
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1/3 as long is 6 m equals meters
Answers
Diana is crafting an email to her team about a new project that needs to start right away. In order for her team to act immediately, diana should ensure the message is
Answers
Answer:
To ensure that her team will act immediately, Diana should say the message is very important, or urgent.
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP
Have a blessed day and remember to keep smiling! :)
write an algebraic expression
Answers
Answer:
find the value of 'c' sach that the point (1.5) 2,-3) and(C,7) are colliner?
Neveah weighed her cat every day for a year. She then chose a representative sample
of 5 random days of the month from 1 to 30 and recorded the weight for that day of the
month in April and November
Select the three true statements based on the sample.
Answers
A representative sample implies a subset of a population that reflects the characteristics of the larger group.
What is a representative sample?Your information is incomplete as the options are not given. Therefore, an overview will be given.
A representative sample is the small number of people who reflect a more extensive group accurately. In this case, since Neveah chose a representative sample of 5 random days of the month, it is important for the sample to depict the entire population.
In such a case, the sample has certain qualities that the population has too.
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Solve the following systems of equations using Gaussian Elimination. 2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13
Find the inner product of two vectors A = (2, -3,0) and B = = (-1,0,5)
Answers
The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).
Solving the given system of equations using Gaussian elimination:
2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13
Matrix form of the system is
[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13
Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1
Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4
Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5
Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5
Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6
The solution is (x,y,z) = (6,-5,5)
Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).
The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by
A·B = |A||B|cosθ
Given,A = (2, -3,0) and B = (-1,0,5)
Magnitude of A is |A| = √(2²+(-3)²+0²) = √13
Magnitude of B is |B| = √((-1)²+0²+5²) = √26
Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2
Cosine of the angle between A and B is
cosθ = A·B / (|A||B|)
cosθ = -2 / (√13×√26)
cosθ = -2 / √(13×26)
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½ (6x + 8) = 2x + 4 + x
Answers
Answer:
True
Step-by-step explanation:
Both sides (right side and left side) of the equation are indeed equal.
I hope this helps!
Answer:
all real numbers
Step-by-step explanation:
1/2(6x + 8) = 2x + 4 + x
1/2 * 6x + 1/2 * 8 = 2x + 4 + x
3x + 4 = 2x + 4 + x
3x + 4 = 3x + 4
4 = 4
0 = 0
the answer is all real numbers because 0 will always equal 0
1. A map has a scale of 2cm=2m. What is the scale factor? 2. And a map has a scale of 4in=3ft. What is the scale factor? Please help it is due tomorrow and I will give brainliest and step by step please or no brainliest.
Answers
1. Using the scale of 2cm = 2m the scale factor is
1/1002. And a map has a scale of 4in =3ft the scale factor is
1/9How to determine dimensions using scale factorsInformation gotten from the question
1. A map has a scale of 2cm =2m
2. And a map has a scale of 4in=3ft
Scale factors refer to the amount or the factor the image on a map was increased or reduced in comparison with the actual dimension of the image
A map has a scale of 2cm =2m
conversion of units
2m = 200cm
so if
2cm represents 200cm
the scale factor is 1/100
A map has a scale of 4 in = 3 ft
conversion of units
3ft = 36 in
so if
4 in represents 36 in
the scale factor is 1/9
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Container a was filled with water to the brim. then, some of the water was poured into an empty container b until the height of the water in both containers was the same. find the new height in both water containers
Answers
After pouring some water from container A into container B, the new height of the water in both containers will be equal.
When container A is filled with water to the brim, it reaches its maximum capacity. Let's assume the initial height of the water in container A is h.
When some water is poured from container A into container B, the water level in both containers will gradually equalize until they reach the same height. Let's denote this new height as H.
The reason the water levels equalize is due to the principle of fluid equilibrium. When the containers are connected and the water is allowed to flow, the water seeks a common level. This occurs because the pressure at the same height in a fluid is equal.
Therefore, after pouring water from container A to container B, the final height of the water in both containers will be H, which indicates that the water has reached an equilibrium point where the pressure is equal in both containers.
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The volume of the prism shown is 1,080 inches cubed. A rectangular prism with a length of 15 inches, width of 9 inches, and height of 8 inches. What is the volume of a pyramid with the same base length, base width, and height? 360 inches cubed 540 inches cubed 1,080 inches cubed 3,240 inches cubed
Answers
9514 1404 393
Answer:
(a) 360 inches cubed
Step-by-step explanation:
The volume of a pyramid is 1/3 the volume of a rectangular prism with the same overall dimensions.
(1/3)(1080 in³) = 360 in³ . . . . the pyramid volume
Can some help with this problem
Answers
Answer:
20 degrees.
Step-by-step explanation:
The interior angles of a triangle add up to 180 degrees. One of them, bottom right, is already shown as 70 degrees. You can find the bottom left angle by subtracting 110, the supplementary angle, from 180 (the number of degrees in a straight line). The top angle, 2x, is equal to 40 degrees. (180-70-70 = 40). 40/2 = x, so x = 20 degrees.
The coordinates for one vertex of a rectangle are (1. 25,1). The length of the rectangle is 2. 5 units, and the width of the rectangle is 1. 25 units. Draw this rectangle on the coordinate grid
Answers
Answer:
(-1.25,-0.25).
Step-by-step explanation:
The length of the rectangle is 2.5 units. To find the point that is 2.5 units from (1.25,1), count 2.5 units to the left of the point. The x-coordinate will change and the y-coordinate will remain the same. This point is (-1.25,1).
The width of the rectangle is 1.25 units. To find the point that is 1.25 units from (1.25,1), count 1.25 units down from the point. The y-coordinate will change and the x-coordinate will remain the same. This point is (1.25,-0.25).
The coordinates of the final point to plot are found using the new x- and y-coordinates. This point is (-1.25,-0.25).