The division problem where a divisor is a whole number and the dividend is a decimal is:
$20.36 are distributed equally among 4 men. How much money will each person get?
Each person will get $5.09.
The divisor of the division problem must be a whole number and the dividend is decimal.
Let's consider the dividend to be 20.36 and the divisor to be 4 which is a whole number.
When we divide 20.36 by 4 we obtain,
20.36/4 = 5.09
Therefore, the quotient is 5.09 which is greater than 5 but less than 6.
The problem:
$20.36 are distributed equally among 4 men. How much money will each person get?
Therefore, each person will get $5.09 each.
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-7/8u = -21 solve for u and simplify your answer as much as possible
Answer: u = 1/24
Step-by-step explanation:
-7/8u = -21
Multiply both sides by 8u
(8u) -7/8u = -21 (8u)
-7 = -21 (8u)
Divide by -21
-7/-21 = 8u
1/3 = 8u
Divide by 8
(1/3)/8 = u
When dividing fractions, flip and multiply
(1/3) (1/8) = u
u = 1/24
It works if you plug it back in, hope this helps
The circulation of a newsletter decreased from 6500 to 3575. What was the percentage decrease in circulation?
Answer:
Step-by-step explanation:
6
IM VERY CONFUSED ON THIS AND I NEED N EXPLANATION ON HOW TO FIGURE IT OUT
The equation of this straight line is equal to y = 3x.
How to calculate the slope of a line?In order to determine the equation of this line, we would first of all calculate its slope. Mathematically, the slope of any straight line can be calculated by using this formula;
[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]
By critically observing the given graph, we can logically deduce the following points:
Point (x, y) = (0, 0)
Point (x, y) = (3, 9)
Substituting the given points into the formula, we have;
Slope = (9 - 0)/(3 - 0)
Slope = 9/3
Slope = 3
Mathematically, the standard form of the equation of a straight line is given by;
y = mx + c
Where:
m represents the slope.x and y are the points.c represents the intercept.Note: The y-intercept of this graph is equal to zero (0).
Substituting the parameters into the equation of a straight line, we have;
y = 3x + 0
y = 3x
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Do the ratios 11 14 and 1 2 form a proportion?
Answer:No
Step-by-step explanation:
Cross multiply
11x2=22; 14x1=14
14 and 22 are not equal, Thus it does not form a proportion.
Round each value TENS Hundreds Thousands 676 5675 7641 13086 15 367 12758 92071 65289
--------------------------------------
[tex]\begin{gathered} 5675\colon \\ Teens=5680 \\ Hundreds=5700 \\ Thousands=6000 \end{gathered}[/tex]---------------------------------------------------------
[tex]\begin{gathered} 7641\colon \\ Teens=7640 \\ Hundreds=7600 \\ Thousands=8000 \end{gathered}[/tex]---------------------------------------------------------
[tex]\begin{gathered} 13086\colon \\ Teens=13090 \\ Hundreds=13100 \\ Thousands=13000 \end{gathered}[/tex]--------------------------------------------------------
[tex]\begin{gathered} 15367\colon \\ Teens=15370 \\ Hundreds=15400 \\ Thousands=15000 \end{gathered}[/tex]-----------------------------------------------
[tex]\begin{gathered} 12758\colon \\ Teens=12760 \\ Hundreds=12800 \\ Thousands=13000 \end{gathered}[/tex]-------------------------------------------
[tex]\begin{gathered} 92071\colon \\ Teens=92070 \\ Hundreds=92100 \\ Thousands=92000 \end{gathered}[/tex]----------------------------
[tex]\begin{gathered} 65289\colon \\ Teens=65290 \\ Hundreds=65300 \\ Thousands=65000 \end{gathered}[/tex]Larry has $3.10 consisting of quarters, dimes, and nickels. He has twice as many quarters as
dimes and 3 more dimes than nickels. Find the number of each kind of coin.
Answer:
Larry has 10 Quarters, 5 Dimes and 2 Nickels.
Step-by-step explanation:
Since Larry has 5 Dimes, that's already 50 cents, with twice as many Quarters as Dimes, that gets him to a total of $3.00. But because he has 3 more Dimes than Nickels, he has 2 Nickels, leading to the correct answer of $3.10
A mountain road is 5 miles long and gains elevation at a constant rate. After 2 miles, the elevation is 5500 feet above sea level. After 4 miles, the elevation is 6200 feet.(story)
1.Find the elevation of the road at the point where the road begins. (From the story)
2. Describe where you would see a point in part (a) on a graph where y represents the elevation in feet and x represents the distance along the road in miles. (from the story)
Please help and show your work Please.
Using a linear function, it is found that:
1. The elevation where the road begins is of 4800 feet.
2. The initial elevation is the intercept of the graph, that is, the value of y when the function crosses the y-axis.
What is a linear function?A linear function, in slope-intercept format, is given according to the following rule:
y = mx + b
In which the coefficients are described as follows:
The coefficient m is the slope of the function, which is the rate of change of the function, given by the change in y divided by the change in x.The coefficient b is the y-intercept of the function, which is the the value of y when the function crosses the y-axis(x = 0).In the context of this problem, we are given two points:
(2, 5500) and (4, 6200).
The slope of the function is given by the change in y of these points divided by the change in x of these points, hence:
m = (6200 - 5500)/(4 - 2) = 350.
Hence:
y = 350x + b.
For both items, we need to find the intercept of the function, that is, the numeric value of y when the function crosses the y-axis(Item 2).
We have that when x = 2, y = 5500, hence the initial elevation of the road can be found as follows:
5500 = 350(2) + b
b = 5500 - 350(2)
b = 4800 feet.
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During the winter, if the low temperature outside is xx °C, the daily cost to heat a building can be determined using the function f(x)=9\left(1.2\right)^{-x}.f(x)=9(1.2) −x . Find and interpret the given function values and determine an appropriate domain for the function.
The values of the function are 9 and 1.2 and the domain is -oo <x < oo
How to interpret the function valuesThe equation of the function is given as
f(x) = 9(1.2)⁻ˣ
The above function is an exponential function.
An exponential function is represented as
f(x) = abˣ
Where
a represents the initial value, b represents the rate of growth or decayWhile x and f(x) are the input and output valuesBy comparison, we have
a = 9 and b = 1.2
This means that the function values are 9 and 1.2
The domainRecall that the function is an exponential function.
The domain of an exponential function is the set of all real values
Hence, the domain of f(x) is the set of all real values
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find the value of x and a equals -2
Answer:
If the question was find the value of a when a equal -2, then the answer is a = -2
what is 3 1/5- 1 1/3
Answer: 1.86667
Step-by-step explanation: i just looked it so it might be wrong
3^4x=3^6x x 3^5x-14
Answer:
-0.009
Step-by-step explanation:
put it on desmos
13. Write a quadratic equation that will have a solution of only x = 0. Note: this means there will be a double solution of x = 0.
we have that
A quadratic equation that will have a solution of only x = 0 is given by the equation
[tex]y=x^2[/tex]a certain population of bacteria doubles every 10 minutes. if the number of bacteria in the population initially was 104, what was the number in the population 1 hour late
An hour later, the number of bacteria in the population was 6656.
To solve the how many bacteria are there in the population, use the exponential growth function.
Exponential growth and decay functions are written in standard form as
A = A₀•b^kt
where A = final amount
A₀ = initial amount = 104
b = growth factor = 2
k = growth rate = 1/10 minutes
t = time = 1 hour = 60 minutes
Plug in the values to the equation and solve for the final amount, A.
A = A₀•b^kt
A = 104•(2)^(1/10 minutes)(60 minutes)
A = 104•(2)^(6)
A = 104•64
A = 6656
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Question 1 (Essay Worth 10 points)
(05.01 HC)
n
Larry and Peggy are making decisions about their bank accounts, Larry wants to deposit $350 as a principal amount, with an interest of 4% compounded quarterly
Peggy wants to deposit $350 as the principal amount, with an interest of 6% compounded monthly. Explain which method results in more money after 2 years. Show all
work.
$394.51 is future value of money after 2 years.
What future value means?
A current asset's future value (FV), which is based on an estimated rate of growth, is its value at a later time. Investors and financial planners use the future value to project how much an investment made now will be worth in the future.The method that results in more money after 2 years is Peggy's investment.
Which method results in more money in 2 years?
The formula for calculating the future value of an investment:
FV = P (1 + r)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
Future value of Larry's investment: $350 x [1 + (0.04/4)]^(4 x 2) = $379
Future value of Peggy's investment: $350 x [1 + (0.06/12)]^(12 x 2) = $394.51
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The diagram represents two statements: p and q.
P
A
B
9
C
Which represents regions A, B, and C?
O p V q
Op-q
O q^p
Q q-p
Option A, p V q is the correct answer. We can also say it as p union q.
What do you mean by union in mathematics?
The set containing all the elements in a collection of sets is referred to as the union (denoted by ) in set theory. It is one of the fundamental operations that allows sets to be joined together and connected to one another. A union of zero (0) sets is referred to as a nullary union, because it is by definition equivalent to the empty set.
The diagram shown below represents two statements which are p and q.
Here in the diagram,
A covers the region in which only p is true.
B covers the region in which both p and q are true.
C covers the region in which only q is true.
The combine region of A, B, and C covers the region in which either p is true or q is true.
Therefore the region of A, B, and C is the union of p and q. It can be written as p v q or p ∪ q.
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Alyssa has saved up throughout the year and currently has $144.Of that she spent 5/8 at her favorite store.How much money did Alyssa spend at her favorite store?
Alyssa spent $90 at her favorite shop.
It has to do with algebra.
Describe algebra.the area of mathematics where numbers and quantities are represented in formulas and equations by letters and other generic symbols. There are several sub-branches of algebra, including commutative algebra, abstract algebra, linear algebra, and elementary algebra.
Alyssa currently possesses $144.
She spent 5/8 of that amount at her favorite store.
= (5 * 144) ÷ 8
After solving, we obtain the value $90.
As a result, Alyssa spent $90 at her favorite retailer.
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Eight taken away from a number squared
Translating verbal expressions
Translating verbal expressions into algebraic expression is 8 - x²
What is algebraic expression?An expression that includes variables, constants, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, etc.). Terms combine to form expressions. A number, a variable, or a mix of both plus certain operation symbols make up an expression. An equal sign separates two expressions that make up an equation. the sum of 8 and 3, for instance. Example sentence: The result of adding 8 and 3 is 11.
Given Data
Eight taken away from a number squared
Translating verbal expressions into algebraic expression:
Let number squared be x
8 - x²
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A coffee distributor needs to mix a(n) Organic Free Trade coffee blend that normally sells for $9.10 per pound with a House coffee blend that normally sells for $12.10 per pound to create 30 pounds of a coffee that can sell for $10.10 per pound. How many pounds of each kind of coffee should they mix?
Taking into account the definition of a system of linear equations, the coffee distributor needs to mix 10 pounds of House coffee blend and 20 pounds of Organic Free Trade coffee blend.
System of linear equationsA system of linear equations is just a set of two or more linear equations with the same unknowns, of which a common solution needs to be found. That is, the solution is a point (x,y) that satisfies both equations.
In other words, a system of equations is a set of related equations by means of the same variables in which the values of said unknowns must be sought, with which, when replaced, they must give the solution proposed in both equations.
Amount of pounds of each kind of coffeeIn this case, a system of linear equations must be proposed taking into account that:
"o" is the amount of pounds of Organic Free Trade coffee blend that a coffee distributor needs to mix."h" is the amount of pounds of House coffee blend that a coffee distributor needs to mix.You know:
A coffee distributor needs to mix a(n) Organic Free Trade coffee blend that normally sells for $9.10 per pound with a House coffee blend that normally sells for $12.10 per pound.The coffee distributor create 30 pounds of a coffee that can sell for $10.10 per pound.The system of equations to be solved is
o + h= 30
o9.10 + h12.10= 10.10×30
There are several methods to solve a system of equations, it is decided to solve it using the substitution method. This method consists of, having a system that has two equations with two unknowns, isolating one of the unknowns of one of the equations and substituting the expression obtained in the other. You can choose any of the variables and any of the equations. In this way, the value of one of the variables is obtained, which when replaced in the expression obtained in the first step, the other variable is obtained.
In this case, isolating the variable "o" from the first equation:
o=30 -h
Replacing this expression in the second equation:
(30 - h)×9.10 + h12.10= 10.10×30
Solving:
30×9.10 - h9.10 + h12.10= 10.10×30
273 - h9.10 + h12.10= 303
- h9.10 + h12.10= 303 - 273
3h= 30
h= 30÷ 3
h= 10
Remembering that o=30-h, you get:
o= 30 -10
o= 20
This means that they should mix 10 pounds of House coffee blend and 20 pounds of Organic Free Trade coffee blend.
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A gallon of paint will cover about 300 square feet of wall space. a painting contractor needs to paint about 32,500 square feet of wall. how many gallons of paint are needed?
Gallons of paint are needed to paint about 32,500 square feet of wall is 109 gallons.
given:
A gallon of paint will cover about 300 square feet of wall space,a painting contractor needs to paint about 32,500 square feet of wall.
now we can divide our paint area by 300 feet squared per gallon
gallons of paint needed = 32500 /300
= 108.33
since 0.33 is not sold at stores,we need 109 gallons of paint.
Hence Gallons of paint are needed to paint about 32,500 square feet of wall is 109 gallons.
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If m∠LMN=43°
and ∠LMN≅∠OMP,
what is m∠NMP?
The measure of angle ∠NMP will be equal to 94 degrees.
What is congruency of triangles?Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure. We can prove two triangles to be congruent using any of the four mentioned rules or criteria's
SSS ruleSAS rule ASA ruleAAS ruleGiven is ∠LMN = 43° and ∠LMN ≅ ∠OMP
Now, since it is given that ∠LMN ≅ ∠OMP, we can say that -
∠LMN = ∠OMP = 43°
Now, assume that ∠NMP equals to β°.
Since, LMO is a straight line, we can write -
∠LMN + ∠NMP + ∠OMP = 180°
43 + β + 43 = 180
β = 180 - 86
β = 94°
∠NMP = β = 94°
Therefore, the measure of angle ∠NMP will be equal to 94 degrees.
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[Refer to the image attached for complete question]
simplify the logarithmic of the following
A logarithm is a power that requires a number to be raised to another power to get another number.
A logarithmic equation is an equation containing the logarithm of an expression involving variables. To solve the exponential equation first, see if you can write both sides of the equation as powers of the same number. A logarithm table is used to find the value of the logarithm function. The easiest way to find the value of a particular logarithmic function is to use a log table.
Richter Scale Earthquakes are measured on the Richter scale which is a base 10 logarithmic scale. This scale measures the magnitude of earthquakes. H. Amount of energy released in the process. Each increase on this scale increases the size by a factor of 10. Logarithmic scales are useful for quantifying relative changes in values rather than absolute differences.
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c. Write an equation to represent the number of Calories in any number
of grams of trail mix.
The equation to represent the number of Calories in any number
of grams of trail mix is C = 3x where, c = no. of calories and x = no. of grams of trail mix.
What is calorie?
The term "calorie" with the symbol "cal" generally refer to the big unit in nutrition and food science. It is typical practice to describe the energy content of foods in terms of serving size or weight, the recommended daily calorie intake, metabolic rates, etc. on package labels and in publications. To prevent misunderstanding, some authors advise using the capital C-spelled terms Calorie and Cal instead of other terms. This standard, however, is frequently disregarded.
We can see in the table that 50 grams pf trail mix contain 150 calories.
So, calories in 1 gram = total calories/total grams
calories in 1 gram = 150/50
calories in 1 gram = 3
Now lets take x as a number of grams taken:
So, Total calories in x grams of trail mix = 3x
So, the required equation is:
C = 3x
Where, C = no. of calories in x grams of trail mix.
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(3.4 x 10²) (4 x 10³)
Answer:
1360000x2
Step-by-step explanation:
Answer: 1,360,000
Step-by-step explanation: First solve the power of's. 10^2 is 100. 10^3 is 1000. Now do 3.4 x 100 which is 340. Then do 4 x 1000 which is 4000.
Now it is (340)(4000) When the parentheses are next to each other you need to multiply. When you do you get 1,360,000
Petra has 15 yards of fabric to make costumes for a play. If each costume requires 1 1/3 yards how many costumes can she make?
A fraction is a part of a whole. If Petra has 15 yards of fabric to make costumes for a play. If each costume requires 1 1/3 yards then she can make costumes.
What is Fraction?A fraction is a part of a whole.
Given that Petra has 15 yards of fabric to make costumes for a play.
To make a costume it requires 1 1/3 yards.
We have to find how many costumes she can make from 15 yards.
In this question 15 yards is whole and 1 1/3 is the part of it.
Convert 1 1/3 to a improper fraction
1 1/3 =4/3.
Now divide 15 by 4/3.
15/4/3
=15/1×3/4
Forty five divided by four.
=45/4
We get eleven point two five.
=11.25
Hence 11 costumes can she make from yards of fabric.
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A 5 foot tall person standing near a tree casts a shadow 8 feet long. At the same time, the tree casts a shadow that is 24 feet long. The triangles shown in the diagram are similar.
What is the value of x, the height of the tree?
30 ft.
12 ft.
15 ft.
2.5 ft.
Answer:
Step-by-step explanation: 12 ft just had a test on this
the most common type of observational study is a(n) . a. debate b. statistical inference c. survey d. experiment
The most common type of observational study is a Survey.
What is an observational study ?A study involving the measurement of variables that are not under the control of the researcher due to a specific logical problem. Experiments involve well-designed studies of the effect of one variable on another. Statistical inference is the process of making inferences about a population based on the results of a sample study. A debate is a formal discussion of a particular topic in a well-organized manner, in which opposing arguments are debated and finally the final argument is voted on. A survey is a data collection technique that investigates the characteristics of a sample of a population.Observe the change in behavior of the independent variable. Don't add prejudice. Use surveys to get information about variables.
CalculationIn the study, the independent variable is observed only for its behavior. Variables naturally exhibit variation. Researchers must not be biased when conducting research. Fundamentally, surveys help us obtain information about social parameters.
Step: 1
An experiment is a well-planned study of any particular cause and effect relationship between variables of interest. A debate is the form of discussion in which a conclusion is to be summarized at last. The statistical inference is a very crucial subject involving the predictions about population parameters based on sample statistics. The survey is the method of collection of information on variables which are not under the control of the experimenter.
The analysis defines various terminologies intermixed with the right answer to the question of interest.
Step: 2
An observational study is mostly conducted in the form of questionnaire. The questionnaire involves question regarding the issue to be studied. The most common type of observational study is a Survey.
Most of the observational studies are carried out in the form of surveys.
The most common type of observational study is a Survey.
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2, 8, 14, 20, 26... Look at the pattern above. What will the next number in the pattern be?
Answer:
32
Step-by-step explanation:
you just keep adding 6, simple :)
Answer:
32
Step-by-step explanation:
pattern: +6
∴ next number in pattern = 26 + 6
= 32
choose all the values of b to make the the following statement true:7/30 =28/b
To find the values of b that make the statement true you solve the equation for b:
Multiply both sides of the equation by b:
[tex]\begin{gathered} b\cdot\frac{7}{30}=b\cdot\frac{28}{b} \\ \\ b\cdot\frac{7}{30}=28 \end{gathered}[/tex]Multiply both sides of the equation by 30/7
[tex]\begin{gathered} b\cdot\frac{7}{30}\cdot\frac{30}{7}=28\cdot\frac{30}{7} \\ \\ b=\frac{28\cdot30}{7} \\ \\ b=\frac{840}{7} \\ \\ b=120 \end{gathered}[/tex]Then, the values that make the statement true are: 840/7 and 120find the value s of x and y
Answer:
x = 180-35 = 145
y = 35
Hope it helps
