To convert a multiplication expression to an equivalent division expression, simply replace the multiplication sign with a division sign and then perform the division operation.
To convert a multiplication expression to an equivalent division expression, here are some steps:
1. Identify the multiplication expression you want to convert. Let's say it is "4 * 6".
2. Replace the multiplication sign (*) with a division sign (/). This gives us "4 / 6".
3. Simplify the division expression by performing the division operation. In this case, divide 4 by 6: 4 / 6 = 0.6667 (rounded to four decimal places).
By changing the multiplication sign to a division sign, we are essentially dividing the first number by the second number.
This is because multiplication and division are inverse operations. So, if we have a * b = c, we can rewrite it as a / b = c.
Therefore, to convert a multiplication expression to an equivalent division expression, simply replace the multiplication sign with a division sign and then perform the division operation.
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Heeeeeeeeelp plssssssssssss
Answer:
A and E
Step-by-step explanation:
This is an example of the distributive property.
28n-25 is the base
E shows 7(4n-5)
7*4=28=28n
7*5=35
7(4n-5)=28n-35
1. State 3 importance of studying mathematics in economics. 2. List 5 mathematical tools used in economics
The means to study and analyze economic phenomena, formulate economic models, make predictions, and derive policy recommendations.
1. Importance of studying mathematics in economics:
a. Modeling and Analysis: Mathematics provides the tools and techniques for constructing models that represent economic phenomena.
These models help economists analyze and understand complex economic systems, predict outcomes, and make informed decisions.
b. Quantitative Analysis: Economics involves analyzing numerical data and making quantitative assessments. Mathematics equips economists with the necessary skills to handle and manipulate data, perform statistical analysis, and draw meaningful conclusions from empirical evidence.
c. Logical Reasoning and Problem Solving: Mathematics trains students to think critically, logically, and abstractly. These skills are essential in economics, where students need to formulate and solve economic problems, derive solutions, and interpret results.
2. Mathematical tools used in economics:
a. Calculus: Calculus plays a crucial role in economics by providing techniques for analyzing and optimizing economic functions and models. Concepts such as derivatives and integrals are used to study economic relationships, marginal analysis, and optimization problems.
b. Linear Algebra: Linear algebra is employed in various economic applications, such as solving systems of linear equations, representing and manipulating matrices, and analyzing input-output models.
c. Statistics and Probability: Statistics is used to analyze economic data, estimate parameters, test hypotheses, and make inferences. Probability theory is essential in modeling uncertainty and risk in economic decision-making.
d. Optimization Theory: Optimization theory, including linear programming and nonlinear optimization, is used to find optimal solutions in various economic problems, such as resource allocation, production planning, and utility maximization.
e. Game Theory: Game theory is a mathematical framework used to analyze strategic interactions and decision-making among multiple agents. It is widely applied in fields such as industrial organization, microeconomics, and international trade.
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I need help ASAP !!!!!!
Answer: ask somone else i a'm not good at these one
Step-by-step explanation:
the red line below is perpendicular to which of the following
The red line is perpendicular to the y-axis.
Van has 45 new baseball cards. He puts them in a binder that holds 9 cards on each page. How many pages dose he fill?
To find out how many pages Van fills with his new baseball cards, we need to divide the total number of cards by the number of cards that fit on each page.
He has 45 baseball cards and each page holds 9 cards.
So, we can divide 45 by 9.
45 / 9 = 5
Therefore, Van fills 5 pages with his new baseball cards.
It's worth noting that this method gives the number of full pages that are filled and if there are any remaining cards, we have to add one more page for the remaining cards.
112% of 97 is what? how do I solve this step by step?
112 percent *97
= (112/100)*97
= (112*97)/100
= 10864/100 = 108.64
7.21 given {1, 3, 2} y [ n] 2 y [ n − 1] = 4 x [ n] 5 x [ n − 1 ] y [ n ] , compute the output y [ n ]
The output y[n] is given by y[n] = (4/2) x[n] + (5/2) x[n-1] y[n]. By substituting the given values, we get output sequence of {1, 3, -19, 231, ...}.
We can use the difference equation relating the input x and the output y to solve for y[n]. Substituting n with (n-1) in the given equation, we get:
y[n-1] = (4/2) x[n] + (5/2) x[n-1] y[n]
Substituting n-1 with n and solving for y[n], we get:
y[n] = (4/2) x[n-1] + (5/2) x[n-2] y[n-1]
Substituting the given values of x and y and simplifying, we get:
y[n] = 16 - 10y[n-1] + 5y[n-2]
Using the initial conditions y[0] = 1 and y[1] = 3, we can recursively compute the output y[n] for any value of n. For example,
y[2] = 16 - 10(3) + 5(1) = -19
y[3] = 16 - 10(-19) + 5(3) = 231
Thus, the output sequence is {1, 3, -19, 231, ...}.
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State whether the given point is a solution to the system of equations.
Tell weather(3,20) is a solution of y=4x+8
Answer:
Step-by-step explanation:
To determine whether (3, 20) is a solution of y = 4x + 8, we need to substitute x = 3 and y = 20 into the equation and check whether the equation is true:
y = 4x + 8
20 = 4(3) + 8
20 = 12 + 8
20 = 20
Since the equation is true, we can say that (3, 20) is a solution of y = 4x + 8.
Answer:
Step-by-step explanation:
y= 4x+8
substituting x=3,
y= 4(3)+8
y= 12+8
y=20
∴ (3,20) is a solution of y= 4x+8
Please answer for y ASAP
The value of y is 21
In this question, we have been given two parallel lines are angles between them.
We need to find the value of y.
here,
angle 3y = angle (84 - y)
3y = 84 - y
3y + y = 84
4y = 84
y = 84/4
y = 21
Therefore, the value of y is 21
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Consider the same study described previously that seeks to compare four diets (low-fat, low-carb, zone, and dash) and a control condition. suppose the researchers wanted to compare the diets pairwise using multiple two-sample t tests. discuss the difficulties in conducting the analysis this way.
Conducting multiple t-tests can be time-consuming and requires a larger sample size to ensure sufficient power to detect differences between the groups. This may increase the cost and resources required for the study.
What is analysis in mathematics?
The analysis is a branch of mathematics that deals with the study of functions, sequences, and limits. It is concerned with understanding how functions behave, how they change and grow, and how they can be approximated and analyzed.
There are several difficulties in conducting a multiple two-sample t-test analysis to compare four diets pairwise in the described study.
One difficulty is that the multiple t-tests increase the risk of Type I errors, which are false positive findings. When multiple tests are conducted, the overall probability of making at least one Type I error increases. This can lead to the conclusion that a difference exists between two groups when in fact there is no real difference. To control for this risk, the researchers would need to use a stricter significance level or adjust the p-values using a method such as the Bonferroni correction.
Another difficulty is that the multiple t-tests do not take into account the relationships between the different groups being compared. For example, if the low-carb diet group has significantly different outcomes from the control group, this may also affect the results of the comparison between the low-carb diet and the other diet groups. A more comprehensive analysis method, such as a one-way ANOVA or a multivariate analysis, would be needed to account for these relationships.
Hence, conducting multiple t-tests can be time-consuming and requires a larger sample size to ensure sufficient power to detect differences between the groups. This may increase the cost and resources required for the study.
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Giving brainliest to the person who answers correctly.
What type of angles are these?
Answer: I believe those would be opposite angles (aka vertically opposite angles).
what's the solution to 5x + 6 = 2(2x – 3)?
Hello! Your answer is x = −12
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable. x = −12
The child has been diagnosed with rickets. The child’s mother is educated about the importance of providing the child with 10 micrograms (400 International Units) of an oral vitamin D supplement each day. The child’s mother purchases over-the-counter vitamin D drops. The supplement is noted to contain 5 mcg of vitamin D in each 0.5 mL. How much of the supplement should the mother administer to the child each day? Record your answer using one decimal place.
Answer:
1.0 mL each day
Step-by-step explanation:
The required daily dosage of vitamin D is 10 micrograms.
The supplement contains 5 micrograms per 0.5mL.
The volume of supplement necessary to fulfill the daily requirements of vitamin D is:
\(V=\frac{0.5\ mL}{5\ mcg}*10\ mcg\\ V=1.0\ mL\)
She should administer 1.0 mL of the supplement each day.
Multiply fractions and whole numbers word problemsA batch of peanut butter cookies requires 3/4 of a jar of peanut butter. You want to make 3 batches.How many jars of peanut butter do you need?
We require 9/4 jars of peanut butter in order to make 3 batches of peanut butter cookies.
We have been told that one batch of peanut butter cookies requires us to use 3/4 of a jar of peanut butter.
We need to make 3 batches.
This means that we need to use 3/4 * 3 jars of peanut butter here. This can be solved easily using fraction multiplication.
On multiplying, we get -
= 3/4 * 3
= 9/4 jars of peanut butter
On further calculating and converting this into a mixed fraction, we find that we need two whole and one 1/4 jar of peanut butter in order to make 3 batches of peanut butter cookies.
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Let (X,T) be a subspace of (Y,T ∗
) and let (Y,T ∗
) be a subspace of (Z,T ∗∗
). Show that (X,T) is also a subspace of (Z,T ∗∗
).
Let's take the subspace (X,T) of (Y,T*), where (Y,T*) is a subspace of (Z,T**). Here, we are required to show that (X,T) is also a subspace of (Z,T**). Let's start our proof.
To show that (X,T) is a subspace of (Z,T**), we must show that (X,T) satisfies the subspace axioms. The subspace axioms that must be satisfied are:
1. The zero vector, 0, is in (X,T).
2. If u and v are in (X,T), then u + v is also in (X,T).
3. If u is in (X,T) and a is a scalar, then au is also in (X,T).
So, let's prove each axiom for (X,T) to be a subspace of (Z,T**):
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simplify in picture below
Answer:
11
Step-by-step explanation:
Use PEMDAS
a folder and a paper clip cost $1.10 in total. the folder costs $1.00 more than the clip. how much does the paper clip cost?
The paper clip costs $0.05 and the folder Costs $1.00 more, which is $1.05. Together, they add up to the total of $1.10.
Let's solve this problem step by step:
Let's assume the cost of the paper clip is x dollars.
According to the information given, the folder costs $1.00 more than the paper clip, so the cost of the folder would be (x + $1.00).
The total cost of the folder and the paper clip is $1.10, so we can write the equation:
x + (x + $1.00) = $1.10
Combining like terms, we have:
2x + $1.00 = $1.10
Subtracting $1.00 from both sides of the equation, we get:
2x = $0.10
Dividing both sides by 2, we find the value of x:
x = $0.10 / 2
x = $0.05
Therefore, the paper clip costs $0.05.
In summary, the paper clip costs $0.05 and the folder costs $1.00 more, which is $1.05. Together, they add up to the total of $1.10.
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Celiac disease causes damage to the villi when can cause malnutrition?
A. True
B. False
what is the sum of squares of sample means about the grand mean? please round your answer to two decimal places.
Sum of squares of sample means about the grand mean is 6463.27 .
Firstly,
SS(error) = SS(total) - SS(treatments)
=8474.79-2011.52
=6463.27
Now,
df (treatments)=SS (treatments) / MS (treatments)
= 2011.52/287.36
= 7
Now,
df (error) = 18-7
=11
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Calculation table and question table is attached below .
PLEASE HELP I WILL GIVE BRAINLYEST
-8x+-20=
Answer:
− 8 x- 20,
x = - 5/2
Step-by-step explanation:
rewrite 20 as 4 times 5,
and rewrite 8 as 4 times 2
= -4 times 2x - 4 times 5
= -4 (2x + 5)
(b) Problem 15: Find the rate of change for this two-variable equation. y-x = 10
The rate of change for the equation y - x = 10 is 1.
To find the rate of change for the equation y - x = 10, we need to determine how y changes with respect to x.
We can rewrite the equation as y = x + 10 by adding x to both sides.
Now, we can observe that the coefficient of x is 1. This means that for every unit increase in x, y will increase by 1. Therefore, the rate of change for this equation is 1.
In other words, as x increases by 1 unit, y will increase by 1 unit as well.
As a result, 1 represents the rate of change for the equation y - x = 10.
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In circle P, PQ = 10 and the area of shaded sector = 40. Find the length of the arc highlighted below. Express your answer as a fraction times π.
To find the length of the highlighted arc in circle P, we need to use the information provided about the sector area and the length of one of the radii. Therefore, the length of the highlighted arc is (80/3)π or 80/3π.
Let r be the radius of circle P. We are given that the area of the shaded sector is 40. Since the area of a sector is given by (θ/360) * π * r^2, we can set up the equation (40/360) * π * r^2 = 40. Simplifying, we find that r^2 = 9. From this, we can determine that r = 3.
Now, we need to find the fraction of the circumference represented by the shaded sector. The area of the entire circle is π * r^2, so the fraction of the shaded sector with respect to the entire circle is (40/π * r^2) / (π * r^2) = 40/π * r^2 / π * r^2 = 40/π * 9/9 = 40/9.
Finally, we can find the length of the highlighted arc by multiplying the fraction of the circumference represented by the shaded sector (40/9) by the circumference of the circle. The circumference of a circle is given by 2πr, so the length of the arc is (40/9) * 2πr = (40/9) * 2π * 3 = 80π/3.
Therefore, the length of the highlighted arc is (80/3)π or 80/3π.
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Ella walks to the art store at 2mph, but returns home at 4 mph. If her total walking time is 1/2 an hour, how far away is the art store? Express your answer as a fraction.
The distance of art store from Ella's house is 2/3 miles or 0.67 miles.
It is a question of time, speed and distance.
It is given in the question that Ella walks to the art store at 2mph, but returns home at 4 mph.
Also, the total time taken by Ella to cover the journey is 1/2 an hour.
We have to find the distance of art store from Ella's house.
Let the distance from Ella's house to art store be d miles.
We know that,
Speed = distance/time
Time = distance/speed
Hence, we can write,
time = d/2 (walking to the art store from from)
Also,
time = d/4 (walking to home from the art store)
Hence,
d/2 + d/4 = 1/2
3d/4 = 1/2
d = 2/3 miles or 0.67 miles.
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find the volume of the solid whose base is a circle of radius 5, if slices made perpendicular to the base are isosceles right triangles with one leg on the base.
The volume of the solid whose base is a circle of radius 5, if slices made perpendicular to the base are isosceles right triangles with one leg on the base is 125π√2 units³.
Given that, The base of the solid is a circle of radius r = 5.Since slices made perpendicular to the base are isosceles right triangles with one leg on the base. The perpendicular height of the triangle would be r √2.By using the formula of volume of solid, Volume of the solid = Area of base x Height of the solid Area of the base of the solid is given as;πr² Volume of the solid = πr² x r√2= π(5)² x 5√2= 125π√2 units³.
An isosceles right triangle is a type of triangle that has two sides of equal length and one right angle. It is a special case of both an isosceles triangle (a triangle with two sides of equal length) and a right triangle (a triangle with one right angle measuring 90 degrees).
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23. Joe has some pocket money. He spends three-quarters of it. He has fifty pence left. How much pocket money did he have?
Answer:
The pocket money he has was 66.66 or 67pence.
Step-by-step explanation:
I. He spend 3/4 of total money,
he has 50pence, find the total money before he spend.
\(\frac{3}{4}\) = \(\frac{50}{x}\) => {when 50 is 3/4 of money so we must find the real value}
3x = 200
x = 66.66 or 67pence
Hope that help :)
Answer:
Your question has already being answered.
I am just here to ask for brainliest please.
sorry for the interruption
i want a explanation. 1
The area of quadrilateral EDFG is approximately 21 cm²
What is the area of the Quadrilateral?We are given that 3DE = 3FC = AB.
Thus:
The area of ΔFCB = ¹/₆ * the area of ABCD
Area of ΔFCB = ¹/₆ * 140 = 23.33 cm²
Area of ΔCFG/Area of ΔCED = (CF/CE)²
Side length of ABCD is: CD = √140 = 11.83 cm
FC = 1/3 * CD
FC = 3.944 cm
CE = √(DE² + CD²)
CE = √(3.944² + 11.83²)
CE = 12.47 cm
Area of ΔCFG/Area of ΔCED = (3.944/12.47)² = 1/10
Area of ΔCFG = 1/10 * 140/6 = 2.33 cm²
Area of EDFG = (140/6) - (140/60) = 21 cm²
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Select the mathematical sentence that is true.
A. 3 (7-3 + 5 < 6 + 2 1
B. 3 (7 - 3) + 5 s 6 + 2 1
C. 3 (7 - 3) + 5 = 6 + 2 1
D. 3 (7 - 3) + 5 > 6 + 2 1
High amount of points.
Answer: a
Step-by-step explanation:
Answer:
A. 3(7-3) < 6 + 21
Step-by-step explanation:
A. 3(7-3) < 6 + 21
21-9 < 27
12 < 27
True
B. ??
C. 3(7-3) = 6 + 21
21 - 9 = 27
12 = 27
False
D. 3(7-3) < 6 + 21
21-9 > 27
12 > 27
False
Therefore, the correct answer is A
Hope this helps!
What is the value of x?
6.75+3/8×=13 1/4
Answer:
x = 17.3333
Step-by-step explanation:
Solve for x:
(3 x)/8 + 6.75 = 13 + 1/4
Hint: | Put the fractions in (3 x)/8 + 6.75 over a common denominator.
Put each term in (3 x)/8 + 6.75 over the common denominator 8: (3 x)/8 + 6.75 = (3 x)/8 + 54/8:
(3 x)/8 + 54/8 = 13 + 1/4
Hint: | Combine (3 x)/8 + 54/8 into a single fraction.
(3 x)/8 + 54/8 = (3 x + 54)/8:
(3 x + 54)/8 = 13 + 1/4
Hint: | Put the fractions in 13 + 1/4 over a common denominator.
Put 13 + 1/4 over the common denominator 4. 13 + 1/4 = (4×13)/4 + 1/4:
(3 x + 54)/8 = (4×13)/4 + 1/4
Hint: | Multiply 4 and 13 together.
4×13 = 52:
(3 x + 54)/8 = 52/4 + 1/4
Hint: | Add the fractions over a common denominator to a single fraction.
52/4 + 1/4 = (52 + 1)/4:
(3 x + 54)/8 = (52 + 1)/4
Hint: | Evaluate 52 + 1.
52 + 1 = 53:
(3 x + 54)/8 = 53/4
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of (3 x + 54)/8 = 53/4 by 8:
(3 x + 54)/(8 1/8) = 1/4×1/(1/8) 53
Hint: | Any nonzero number divided by itself is one.
1/8×1/(1/8) = 1:
3 x + 54 = 1/4×1/(1/8) 53
Hint: | Write 1/4×1/(1/8) as a single fraction.
Multiply the numerator of 1/4×1/(1/8) by the reciprocal of the denominator. 1/4×1/(1/8) = 1/4×8:
3 x + 54 = 1/4×8×53
Hint: | Express 1/4×8×53 as a single fraction.
1/4×8×53 = (8×53)/4:
3 x + 54 = (8×53)/4
Hint: | In (8×53)/4, divide 8 in the numerator by 4 in the denominator.
8/4 = (4×2)/4 = 2:
3 x + 54 = 2×53
Hint: | Multiply 2 and 53 together.
2×53 = 106:
3 x + 54 = 106
Hint: | Isolate terms with x to the left hand side.
Subtract 54 from both sides:
3 x + (54 - 54) = 106 - 54
Hint: | Look for the difference of two identical terms.
54 - 54 = 0:
3 x = 106 - 54
Hint: | Evaluate 106 - 54.
106 - 54 = 52:
3 x = 52
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 3 x = 52 by 3:
(3 x)/3 = 52/3
Hint: | Any nonzero number divided by itself is one.
3/3 = 1:
x = 52/3
Hint: | Express 52/3 in decimal form.
52/3 = 17.3333:
Answer: x = 17.3333
Answer:
52/3
Step-by-step explanation:
The answer above me ^^
What Is the value of x?
Answer:
idk
Step-by-step explanation:
Answer:
x=5
Step-by-step explanation:
a and c are the same angles so 73+73=146
then you subtract 180-146=34 and 5 times 6 is 30 then plus 4 and get 34
therefore x=34 degrese