Write 45 in lowest terms.
47
Answers
Answer: 9/20
Step-by-step explanation:
45%=
45 * 100%/100=
45 * 1/100=
45/100=
4.5/10=9/20
Related Questions
In the table below, Dillion recorded the amount of money he earned based on the number of days he worked
Plz
Answers
Answer:
Step-by-step explanation:
find the average
$2520 / 20 days = ______ pay per day
Solve:(6x^2+5x+1)÷(x+2)
Answers
Answer:
6x+6x2+3
Step-by-step explanation:
6x2+5x+1+x+2
Combine 5x and x to get 6x.
6x2+6x+1+2
Add 1 and 2 to get 3.
6x2+6x+3
What is the volume of the cylinder below in cubic units? Assume n = 3.14 and roundyour answer to the nearest tenth when necessary.
Answers
Solution.
Step 1
Write an expression for the volume of a cylinder
\(V=\pi r^2h\)Where
π = 3.14
r = radius =
3.1 Which basic property of operations was used in each of the following
calculations?
3.1.1 25 x 4 = 4 x 25 = 100
3.1.2 412 412 412 + (-412) = 0
3.1.3 25 +37
-
=
= 20 + 5+ 30+7
= 20 +30 +5+7
= 50+ 12 = 62
Answers
3.1.1 The basic property of operations used is the commutative property of multiplication.
3.1.2 The basic property of operations used is the additive inverse property.
3.1.3 The basic property of operations used is the associative property of addition.
3.1.1 The basic property of operations used in this calculation is the commutative property of multiplication. It states that the order of the factors in a multiplication problem can be rearranged without changing the product. In this case, the numbers 25 and 4 were swapped, resulting in the same product of 100.
3.1.2 The basic property of operations used in this calculation is the additive inverse property. It states that for any number, there exists an additive inverse such that when the number and its additive inverse are added together, the result is zero. In this case, adding 412 and its additive inverse (-412) results in zero.
3.1.3 The basic property of operations used in this calculation is the associative property of addition. It states that the grouping of numbers being added does not affect the sum. In this case, the numbers 25, 37, 20, 5, 30, and 7 were regrouped to facilitate easier mental addition. By grouping 25 and 37, and then grouping 20, 5, 30, and 7, the final sum of 62 is obtained, which is the same as adding all the numbers together in the original order.
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A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle. A triangle ABC is shown. The base of the triangle extends into a straight line. The angle formed between this straight line and the edge of the triangle is marked as p. The angle adjacent to p is marked as o, and the other two angles inside the triangle are marked as m and n. Step 1: m∠m + m∠n + m∠p = 180 degrees (sum of angles of a triangle) Step 2: m∠p + m∠o = 180 degrees (adjacent supplementary angles) Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p Step 4: So, m∠m + m∠n = m∠p In which step did the student first make a mistake and how can it be corrected? Step 1; it should be m∠m + m∠n + m∠o = 180 degrees (sum of angles in a triangle) Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles) Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles) Step 2; m∠p − m∠o = 90 degrees (alternate interior angles)
Answers
Answer:
(A)Step 1; it should be m∠m + m∠n + m∠o = 180 degrees (sum of angles in a triangle)
Step-by-step explanation:
In the triangle, the exterior angle = pThe adjacent interior angle =oThe two opposite angles are marked m and nThe steps followed by the student are:
Step 1: m∠m + m∠n + m∠p = 180 degrees (sum of angles of a triangle)
Step 2: m∠p + m∠o = 180 degrees (adjacent supplementary angles)
Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p
Step 4: So, m∠m + m∠n = m∠p
We observe that the student made a mistake in Step 1, it should be m∠m + m∠n + m∠o = 180 degrees (sum of angles in a triangle).
p is outside the triangle, therefore it cannot form one of the angles in the triangle.
I dont know how to do surface area
Answers
Answer: the equation for SU is 2(lb+bh+hl)
Step-by-step explanation: L stands for length B stands for base. H stand for height multiply that by 2
Can somebody help me with social studies since nobody will?
Answers
Answer:
Yes! Sure I will, just follow me and I will follow you!
Then I get the notifications of your doubts.
Step-by-step explanation:
I love helping
Help me please. I don't know what to do or where to start.
Answers
The number of cars in the parking lot at 5 pm is 106.1.
The formula for the number of cars in the parking lot n hours after 3 pm is:
\(A_{n} = 92(1.09)^n\)
where:
\(A_{n}\) is the number of cars in the parking lot n hours after 3 pm
92 is the initial number of cars in the parking lot
1.09 is the growth rate of the number of cars in the parking lot
n is the number of hours after 3 pm
For example, if it is 5 pm, then n = 2. Plugging this value into the formula, we get:
\(A_{5} = 92(1.09)^2\)
\(A_{5} = 106.1\)
Therefore, the number of cars in the parking lot at 5 pm is 106.1.
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∠A and ∠ B ∠B are vertical angles. If m ∠ A = ( 5 x − 4 ) ∘ ∠A=(5x−4) ∘ and m ∠ B = ( 2 x − 1 ) ∘ ∠B=(2x−1) ∘ , then find the value of x.
Answers
Answer:
x=1
Step-by-step explanation:
vertical angles are equal
therefore a=b
5x-4=2x-1= 3x=3
x=1
This morning, Kendall drank a cup of coffee that had 95 milligrams of caffeine in it. She didn't have any more caffeine for the rest of the day. Kendall read online that the amount of caffeine in her body will decrease by approximately 13% each hour. Write an exponential equation in the form y=a(b)x that can model the amount of caffeine, y, in Kendall's body x hours after drinking the coffee. Use whole numbers, decimals, or simplified fractions for the values of a and b. y = ____. To the nearest milligram, how much caffeine will be in Kendall's body after 12 hours?
Answers
An exponential equation in the form \(y=a(b)^x\) that can model the amount of caffeine, y, in Kendall's body x hours after drinking the coffee is
The amount of caffeine that will be in Kendall's body after 12 hours is 18 milligrams.
What is an exponential function?In Mathematics, an exponential function can be modeled by using the following mathematical equation:
f(x) = a(b)^x
Where:
a represents the initial value or y-intercept.x represents time.b represents the rate of change.Since Kendall drank a cup of coffee that had 95 milligrams of caffeine which is decreasing at a rate of 5% per day, this ultimately implies that the relationship is geometric and the rate of change (decay rate) is given by:
Rate of change (decay rate) = 100 - 13 = 87% = 0.87.
By substituting the parameters into the exponential equation, we have the following;
\(f(x) = 95(0.87)^x\)
When x = 12, we have;
\(f(12) = 95(0.87)^{12}\)
f(12) = 17.86 ≈ 18 milligrams.
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Adriana's cell phone carrier withdraws $65.75 from her bank account each month to pay her cell phone bill. She deposits a paycheck each month in the amount of $832.43. What is the change in her bank account after three months?
Answers
Answer:
38.0
Step-by-step explanation:
first you divide then times
Set of whole numbers from 1 to 10 inclusive greater than seven and odd
Answers
Answer:
{7, 9}
(Numbers from 1 to 10 equal to or greater than 7 are 7 and 9)
Step-by-step explanation:
We have to find the set of whole number greater than and equal to 7 from 1 to 10,
Now, From 1 to 10, the odd numbers are, 1,3,5,7,9,
And of these, 7 and 9 are equal to or greater than 7
So, we get the set,
{7, 9}
Write a rational equation that cannot have a solution at x = 2
Answers
Answer: 5+7=2x
Step-by-step explanation:
What is the variable for 49n+986=-43
Answers
Answer:
n=-141/49
Step-by-step explanation:
(2,7),(1,-4)write an equation for the line in point slope form .Then rewrite the equation in slope intercept form
Answers
Let's begin by listing out the information given to us:
\(\begin{gathered} (x_{1,}y_1)=(2,7) \\ (x_{2,}y_2)=(1,-4) \end{gathered}\)Let's calculate the slope
\(m=\frac{y_2-y_1}{x_2-x_1}=\frac{-4-7}{1-2}=\frac{-11}{-1}=11\)Slope = 11
Using point slope form, we have:
\(\begin{gathered} y-y_1=m(x-x_1) \\ y-y_2=m(x-x_2) \\ Using(1,-4) \\ y--4=11\left(x-1\right) \\ y+4=11x-11 \\ \text{Subtract 4 from both sides} \\ y=11x-15 \end{gathered}\)Write the equation in slope intercept form, we have:
The general formula is given by y = mx + b
Let's calculate the slope
\(m=\frac{y_2-y_1}{x_2-x_1}=\frac{-4-7}{1-2}=\frac{-11}{-1}=11\)The general formula becomes,
y = 11x + b
To solve for b, make b the subject formula, we have:
b = y - 11x
Substitute (2, 7) into the formula
b = 7 - 11 (2) = 7 - 22 = -15
b = -15
Substitute the value of b into the formula y = 11x + b, we have:
\(y=11x-15\)which ratios are equivalent 9:15 and 18:3021:25 and 30:503:5 and 5:10 5:6 and 20:24
Answers
To determine the equivalent ratios, we would reduce each ratio to its lowest term. This involves dividing by a common factor till it is no longer divisible. Therefore,
saleswoman sells a dried-fruit mixture for $ 5.90 per pound and nuts for $ 14. 75per pound. She wants to blend the two to get a -15lb mixture that she will sell for $ 9.44per pound. How much of each should she use? Solve using matrices.
To get a 15-lb mixture, she should use enter your response here( = -lb )of dried-fruit mixture and enter your response here( = lb )of nuts.
Answers
A 15-lb mixture, she should use 1.256 pounds of dried-fruit mixture and 13.744 pounds of nuts.
Based on the given information, we can set up the following system of equations:
Equation 1: x + y = 15 (since the total weight of the mixture is 15 pounds)
Equation 2: (5.90 * x) + (14.75 * y) = 9.44 * 15 (since the total cost of the mixture is the cost per pound multiplied by the weight of each component)
Now, let's convert this system of equations into matrix form:
| 1 1 | | x | | 15 |
| 5.90 14.75 | | y | = | 9.44 * 15 |
To solve for x and y, we can use matrix algebra. We can multiply the inverse of the coefficient matrix by the right-hand side matrix to get the solution matrix:
| x | | 1 1 |^-1 | 15 |
| y | = | 5.90 14.75 | | 9.44 * 15 |
Using matrix calculations, we find that the inverse of the coefficient matrix is:
| 0.0877 -0.0576 |
| -0.0059 0.0678 |
Now, multiplying the inverse matrix by the right-hand side matrix gives us:
| x | | 0.0877 -0.0576 | | 15 |
| y | = | -0.0059 0.0678 | * | 9.44 * 15 |
Simplifying the multiplication gives us:
x = 1.256
y = 13.744
Therefore, the saleswoman should use 1.256 pounds of dried-fruit mixture and 13.744 pounds of nuts to get a 15-pound mixture.
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can someone please help
Answers
Answer:
The measure of CD is 46
Step-by-step explanation:
From the midpoint theorem, we have,
FG = (1/2)CD
so,
\(13+5x=(1/2)(-3x+52)\\So,\\2(13+5x)=-3x+52\\26+10x=-3x+52\\13x=52-26\\13x=26\\x=26/13\\x=2\)
Now,
\(CD = -3x+52\\since \ x=2\\we \ get\\CD=-3(2) +52\\CD=-6+52\\CD=46\)
Goals Scored (per game)
There is a [DROP DOWN 1] association between the amount of goals scored and the number of wins a hockey team has. Most of the data points fall between [DROPDOWN 2] goals scored and [DROPDOWN
3] number of wins. Causation (DROPDOWN 4] be established because their relationship was not in a controlled setting.
![Goals Scored (per game)There is a [DROP DOWN 1] association between the amount of goals scored and the](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/Om1ZI94BXgac6eWEJSaoQSe02Jb6tiXS.png)
Answers
There is a Weak positive association between the amount of goals scored and the number of wins a hockey team has. Most of the data points fall between 4 goals scored and 5 number of wins. Causation cannot be established because their relationship was not in a controlled setting.
What is experiment about?When if a relationship between two variables is said to be negative, it is one that does not just necessarily mean that the association is weak. Although though both variables tend to increase in reaction to one another, a weak positive correlation depicts that the relationship is not very strong.
Therefore, even though the data tells us that there is a weak positive relationship that exist between the two variables, it is vital to know that that correlation does not equal causation.
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Given that 4x - 2y < 8, solve for y. Put them in order from steps . plz help
Answers
Answer:
y > 2x - 4
Step-by-step explanation:
Step 1: Write out inequality
4x - 2y < 8
Step 2: Subtract 4x on both sides
-2y < -4x + 8
Step 3: Divide both sides by -2
y > 2x - 4
A police car is chasing a speeding car on a right-angled intersection such that former is approaching to the intersection, while the latter is moving away from it. At the point where the police car is at 80 mph and it is 44 yards from the intersection, the police radar detected that the distance between them is increasing at 45 mph, while the other car is 117 yards away from the intersection. What is the rate of the speeding car?
Answers
The rate of the speeding car is 0.493.
We have,
The police car is at 80 mph and it is 44 yards from the intersection, is increasing at 45 mph, while the other car is 117 yards away from the intersection.
So, Rate of speeding car
= (45- 80)/ (117- 44)
= -35/(-73)
= 35/73
= 0.493
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Please this is urgent and please don’t troll me
Answers
Answer:
a
Step-by-step explanation:
Use the histogram to answer the following questions.
Frequency
The frequency of the class 90-93 is
The frequency of the class 94-97 is
This means that a total of
5.5
5
4.5
Your answers should be exact numerical values.
The frequency of the class 86-89 is
86
94
90
Duration of Dormancy (minutes)
dormancy periods were recorded.
Answers
The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of periods is given as follows:
5 + 6 + 4 = 15.
The frequency of each class is given as follows:
86 - 89: 5/15 = 1/3.90 - 93: 6/15 = 2/5.94 - 97: 4/15.Learn more about the concept of probability at https://brainly.com/question/24756209
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What are the key characteristic that are revealed in a quadratic function in vertex form. Choose all that apply
x-intercept(s)
y-intercept
Vertex
Axis of symmetry
Concavitgy
Answers
Answer:
Step-by-step explanation:
Graph of a parabola showing where the x and y intercepts, vertex, and axis … Determine the vertex, axis of symmetry, zeros, and y-intercept of the parabola shown below. … We can use the general form of a parabola to find the equation for the axis. Therefore the domain of any quadratic function is all real numbers.
Answer:
Step-by-step explanation:
X- intercept(s)
vertex
Axis of symmetry
John has a 100 cm cubed pencil holder. If John wants to hide a pencil in the pencil holder (so the pencil holder) what is the longest length of pencil he can hide
Answers
Therefore, the longest length of pencil that John can hide in the pencil holder is approximately 127.32 cm (rounded to two decimal places).
Given that John has a 100 cm³ pencil holder, the longest length of pencil he can hide in the pencil holder can be found by using the formula for the volume of a cylinder which is given by: V = πr²h where r is the radius of the cylinder and h is the height of the cylinder.The volume of a cylinder can also be expressed as V = lwh where l is the length of the cylinder, w is the width of the cylinder and h is the height of the cylinder.
If we assume that the pencil is cylindrical in shape, then its volume can be given by V = πr²l where r is the radius of the pencil and l is the length of the pencil.Since the volume of the pencil holder is given to be 100 cm³, then we have:100 = πr²h (Equation 1)
Now, we need to find the value of l that can fit inside the pencil holder. We can use the formula for the volume of the pencil to do this as follows:
V = πr²lLet V = 100 cm³ and
r = 0.5 cm
(since the pencil holder is cylindrical in shape, we can assume that it has a radius of 0.5 cm)Then, we have:100 = π(0.5)²lSolving for l, we get:
l = 100 / (π(0.5)²)
l = 100 / (0.7854)l ≈ 127.32 cm
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What is the range of the function f(x) = -3x + 1 when the domain is {-2, 0, 3}?
A. {7, 1, -8}
B. {-5, 1, -8}
C. {-31, -29, -32}
D. all real numbers
Answers
Answer:
A. {7, 1, -8}Step-by-step explanation:
Given function:
f(x) = -3x + 1Set of domain is:
{-2, 0, 3}To find each term of the range substitute the terms of the domain in the function:
f(-2) = -3(-2) + 1 = 6 + 1 = 7f(0) = -3(0) + 1 = 0 + 1 = 1f(3) = -3(3) + 1 = -9 + 1 = - 8Set of range:
{7, 1, -8}Correct option is A
Without dividing, choose <, >, or = to make each statement true.
Answers
We can conclude that -
f(x) < g(x), means that expression f(x) is less than g(x) {for given (x)}.f(x) > g(x), means that expression f(x) is greater than g(x) {for given (x)}.f(x) = g(x), means that expression f(x) is equal to g(x) {for given (x)}.What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given are the inequality signs as : >, < and =.
An inequality is used to make unequal comparisons between two numbers or expressions.
f(x) < g(x), means that expression f(x) is less than g(x) {for given (x)}.f(x) > g(x), means that expression f(x) is greater than g(x) {for given (x)}.f(x) = g(x), means that expression f(x) is equal to g(x) {for given (x)}.Therefore, we can conclude that -
f(x) < g(x), means that expression f(x) is less than g(x) {for given (x)}.f(x) > g(x), means that expression f(x) is greater than g(x) {for given (x)}.f(x) = g(x), means that expression f(x) is equal to g(x) {for given (x)}.To solve more questions on inequalities, visit the link below -
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Hope one of y’all help me with this question.. because i was struggling!!
Please and thank you.
Answers
a) The value in four years is 2,207,626
b) The growth rate percent is 102.5 %
c) It would attain the value in 11 years.
What is a function?We know that a function has to do with a mathematical rule that is used for the establishment of a fact. We have from the question that the function that models the car is; V = 2000000(1.025)^n
Let us recall that n has to do with the number of years.
a) In four years, the value of the car would be;
V = 2000000(1.025)^4
V = 2,207,626
b) The growth rate percent of the function can be obtained as;
1.025 * 100 = 102.5 %
c) To obtain the year in which the value of the car would reach 2624173.32, we have;
2624173.32 = 2000000(1.025)^n
2624173.32/2000000 = (1.025)^n
1.312 = (1.025)^n
ln1.312 = n ln (1.025)
n = ln1.312 /ln (1.025)
n = 0.272/0.025
n = 11
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Write down the name of each of these shapes.
a)
b)
Answers
Answer:
a. right triangle or right-angled triangle
b. scalene triangle
Answer:
a) right-angled triangle
b) scalene triangle
Step-by-step explanation:
a) the square represents 90 degrees, and 90 degrees is called a right angle.
b) It has no defined sides or angles and all sides or angles are different.
Last month 184 people attended the monthly town hall meeting. This month 170 people attended the meeting. To the nearest tenth of a percent, what is the percent decrease in attendance from last month to this month?
Answers
Answer:
7.60%
Step-by-step explanation:
Answer: 7.60%
Step-by-step explanation: took the k12 test