Answers
We are given the following fractions:
\(\frac{25}{30}-\frac{21}{30}\)To subtract fractions with the same denominator, in this case, 30, we leave the same denominator and operate the numerators, like this:
\(\frac{25}{30}-\frac{21}{30}=\frac{25-21}{30}=\frac{4}{30}\)Now we simplify the fraction by dividing both parts by 2:
\(\frac{4}{30}=\frac{\frac{4}{2}}{\frac{30}{2}}=\frac{2}{15}\)Related Questions
Find the value of x. Round to the nearest tenth
Answers
Answer:
x=24.1
Step-by-step explanation:
soh cah toa
cos(24°)=22/x
cos(24)= 0.9135
0.9135=22/x
0.9135x=22
x=22/0.9135
x=24.1
Answer:
24.1
Step-by-step explanation:
By sine rule:
\( \frac{ x}{\sin 90 \degree} = \frac{22}{\sin (90 - 24)\degree} \\ \\ \frac{x}{1} = \frac{22}{ \sin 66 \degree} \\ \\ x =24.081998127 \\ \\ x \approx 24.1\)
Smallest successive composites with gap
17, 73, 2, 19
Answers
Answer:
Well, the smallest successive composites with gap 17, 73, 2, and 19 would have to be:
1. $341 = 11 \times 31$
2. $458 = 2 \times 299$
3. $460 = 2^2 \times 5 \times 23$
4. $479 = 13 \times 37$
In a roll of 50 pennies, there are 12 dated 1977. If a penny is drawn at random, what is the probability that it is dated 1977?
Answers
Thus, probability that the one drawn penny is from 1977 dated pennies is 6/25.
Define about the probability:The probability about an occurrence in an experiment is the likelihood that the event will occur. Any event's probability is a number between (including all) "0" and "1".
If an event's probability is represented by P(E), then we get
If and only if the condition E is an impossibility, P(E) = 0.If and just if E is a specific event, then P(E) = 1.Given data:
Total pennies = 50
number of 1977 dated pennies = 12
probability = favourable outcome / total outcome
probability(1977 dated pennies) = number of 1977 dated pennies/ Total pennies
probability(1977 dated pennies) = 12/50
Divide numerator and denominator by 2.
probability(1977 dated pennies) = 6/25
Thus, probability that the one drawn penny is from 1977 dated pennies is 6/25.
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0 is an angle in a right-angled triangle. tan 0 = 23/52 What is the value of 0? Give your answer in degrees to 1 d.p.
Answers
The value of the angle θ is approximately 24.2 degrees to 1 decimal place.
In a right-angled triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Given that tan θ = 23/52, we can find the value of the angle θ.
To find the value of θ, we can use the inverse tangent or arctan function. Taking the inverse tangent of both sides of the equation, we have:
θ = arctan(23/52)
Using a calculator or trigonometric tables, we can evaluate the inverse tangent of 23/52. The result is approximately 24.2 degrees.
Note that in the context of a right-angled triangle, the tangent function is defined for acute angles (less than 90 degrees). Since 0 degrees is the smallest possible angle, it is considered an acute angle in this case.
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I need help with this problem please...
Answers
Answer:
Step-by-step explanation:
34,000,000,000=4,005,000(1+0.041)^x
(1.041)^x=(34,000,000,000)/4,005,000
(1.041)^x=34,000,000/4,005
xlog(1.041)=log34,000,000-log 4005
=7.15348-3.60260
=3.55088
x=3.55088/log(1.041)=3.55088/0.01745
\approx 203.5~years
Which of these statements describe properties of parallelograms? Check all
that apply.
A. Consecutive angles are supplementary.
B. Opposite sides are parallel.
• C. Opposite angles are congruent.
D. Opposite angles are parallel.
E. Opposite sides are congruent.
• F. Diagonals perpendicularly bisect each other.
Answers
Answer:
The correct answers for this question are:
A. Diagonals bisect each other.
C. Opposite angles are congruent.
D. Opposite sides are parallel.
E. Consecutive angles are supplementary. Those are the statements that describe properties of parallelograms. They are also belong to the family of quadrilateral.
Step-by-step explanation:
Jo has a 10 GB monthly cell phone plan. Jo has used 8 GB in the first 10 days of the month. At that rate, how many GB will Jo use after a month of 30 days?
Answers
Answer:
Step-by-step explanation:
1st 10 days - 8 GB
2nd 10 days - 8 GB
3rd 10 days - 8 GB
________________
30 days - 24 GB
Which function has the same range as f (x) = negative 2 StartRoot x minus 3 EndRoot + 8?
Answers
g(x) = -2√x + 8 is the function that has the same range as f(x) = -2√(x - 3) + 8. Both functions have the range of y ≤ 8
The function that has the same range as f(x) = -2√(x - 3) + 8 is g(x) = -2√x + 8. Both functions have the range of y ≤ 8.There are a few steps involved in determining which function has the same range as f(x) = -2√(x - 3) + 8. The range of a function refers to all the possible output values that the function can produce.Let's begin by examining the original function:f(x) = -2√(x - 3) + 8The square root symbol (√) implies that x-3 must be greater than or equal to 0. If x-3 is negative, then the function would produce an imaginary result.
Let's solve for x when f(x) = 0:0 = -2√(x - 3) + 8-8 = -2√(x - 3)4 = √(x - 3)16 = x - 3x = 19This tells us that the x-value that produces an output of 0 is x = 19. To determine the range, we need to find the maximum and minimum output values. We can use a graphing calculator or sketch a graph to determine the shape of the function and the range.The shape of the function suggests that the range is y ≤ 8, which means that the maximum value of the function is 8. This tells us that any function with the same maximum output value of 8 will have the same range as f(x).
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You need 5 pounds of fruit to make a
Florida fruit salad. Do you have enough fruit? Explain.
Fruit - amount(pounds)
Apples- 0.99
Oranges- 0.687
Pineapples- 1.875
Bananas - 0.78
Strawberries- 0.75
Answers
Answer:
Step-by-step explanation:
0.99
0.678
0.78
Julia works for a company selling light bulbs. She sells fluorescent light bulbs for $5 a piece and incandescent light bulbs for $2. To meet her quota, she needs to sell over 100 light bulbs and make at least $350. If the solution region is the amount of light bulbs Julia needs to sell to meet her quota, which graph's shaded area represents the solution region? A.Y B.W C.Z D.
Answers
The solution to the amount of light bulbs Julia needs to sell to meet her quota is represented by the shaded area in graph X.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the incandescent light bulbs and y represent the fluorescent light bulbs. Therefore:
x + y > 100 (1)
Also:
2x + 5y ≥ 350 (2)
The solution to the amount of light bulbs Julia needs to sell to meet her quota is represented by the shaded area in graph X.
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Yesterday, you entered into a futures contract to sell 62,500 at $1.50 per . Your initial performance
bond is $1,500 and your maintenance level is $500. At what settle price will you get a demand for additional
funds to be posted?
Answers
The settle price at which you will get a demand for additional funds to be posted is $1.4840 per €.
What is contract?
An agreement between parties that results in legal duties for both parties is known as a contract. Mutual consent, demonstrated by a valid offer and acceptance, sufficient consideration, capability, and legality are the fundamental components needed for the agreement to be a legally enforceable contract.
Provided data from the question;
Futures contract to buy in euros = €62,500
Future contract to buy in dollar = $93,750 ( €62,500 × $1.50)
Initial performance of bond = $1,500
Maintenance level = $500
To determine the settle price at which you get a demand for additional funds to be posted =
Future contract to buy in dollar - (initial bond performance - maintenance level) ÷ future contract to in euros
$93,750 - ($1,500 - $500)
= $93,750 - $1,000
$92,750 ÷ €62,500
= $1.484
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I am a parallelogram. Two of my sides are parallel to the bottom of the paper. The endpoints of the bottom side are at (2, 5) and (9, 5). The slope of the line segments that form my two sides is 0.75, and the length of each side is 5 units. What are my other two vertices?
Answers
According to the information, the vertex at the top left of the parallelogram is (4, 8.25). Thus, the other two vertices of the parallelogram are (2, 5), (9, 5), (7, 8), and (4, 8.25).
How to find the vertices of the parallelogram?To find the vertex of the parallelogram we can use the point-slope form of a line: y - y1 = m(x - x1), where,
m = slope(x1, y1) = point on the lineFor the side sloping up from left to right, we can use the point (2, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:
y - 5 = 0.75(x - 2)Simplifying, we get:
y = 0.75x + 3.5To find the point where this line intersects the top side of the parallelogram, we can use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (2, 5) is 5 units away from the intersection point in the x-direction, so we can add 5 to the x-coordinate to find the intersection point. Plugging in x = 7 into the equation above, we get:
y = 0.75(7) + 3.5 = 8Therefore, the vertex at the top right of the parallelogram is (7, 8).
For the side sloping down from left to right, we can use the point (9, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:
y - 5 = -0.75(x - 9)Simplifying, we get:
y = -0.75x + 11.25To find the point where this line intersects the top side of the parallelogram, we can again use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (9, 5) is 5 units away from the intersection point in the x-direction, so we can subtract 5 from the x-coordinate to find the intersection point. Plugging in x = 4 into the equation above, we get:
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Which lines are parallel. 1.) The blue and green 2.) blue and red 3.) Red and green 4.) blue,red,green
Answers
Answer: 2.) Blue and red
Step-by-step explanation:
The slope of the red and blue ones is - 3 while the green one's slope is -4
15% of 9 is what number and how to solve using proportions
Answers
Answer:
Step-by-step explanation
Okay so lets solve step by step/
15% can be written as a fraction: 15/100
The of in the equation means multiplying.
15/100= 3/20
3/20*9= 270/20
27/2 is answer
write an equation that you can use to slove for x enter your answer in the box
Answers
The value of angle x is 133 degree
And the equation of line be of the form,
⇒ y - y₁ = 133(x - x₁)
In the given line,
one angle is of 47 degree
And other is x degree
To find the value of x,
Since we know that,
The angle of line is 180 degree.
Therefore,
⇒ x + 47 = 180
⇒ x = 133 degree
Therefore slope of this line be 133 degree
Now let this line is passing through (x₁, y₁)
Hence,
The equation of line be,
⇒ y - y₁ = (slope)(x - x₁)
⇒ y - y₁ = 133(x - x₁)
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Absolute vale of x+2 if x is less than 2
Answers
Answer: The expression for the absolute value of x+2 when x is less than 2 is -(x+2).
Step-by-step explanation: When x is less than 2, x+2 is a negative number. The absolute value of a negative number is its opposite with the negative sign, so the absolute value of x+2 is -(x+2). Therefore, when x is less than 2, the expression for the absolute value of x+2 is -(x+2).
1.28 Ф Vector operations and units. (Chapter 2) Circle the vector operations below (scalar multiplication, addition, dot-product, etc.) that are defined for a position vector a (with units of m) and a velocity vector b (with units of P. a+b 1.29 Using vector identities to simplify expressions (refer to Homework 1.13). One reason to treat vectors as basis-independent quantities is to simplify vector expressions with- out resolving the vectors into orthogonal x, y, z or i k components. Simplify the following Vector expression (3u-29) x (u + v) vector expressions using various properties of dot-products and cross-products Simplified vector expression Express your results in terms of dot-products - and cross- products x of the arbitrary vectors υ. v. w (ie.. υ. v, w are not orthogonal). 2 1.30 Vector concepts: Solving a vector equation. (Section 2.10.5) Consider the vector equation to the right and the process that follows that solves for θ (a, is a unit vector and v,, θ, R are scalars). This process is a valid way to solve for θ. True/False Explain: vr ax 0
Answers
The vector operations defined for a position vector a and a velocity vector b are vector addition and scalar multiplication.
Simplified Vector expression is (3u - 29) x u + (3u - 29) x v.
False, as the process that follows, solving for θ by dividing by the magnitude of v and taking the inverse sine, is only valid if v x a = 0.
1.28: The vector operations defined for a position vector a and a velocity vector b are vector addition and scalar multiplication.
1.29: Using the properties of the cross-product, the simplified expression is:
3u x u + 3u x v - 29 x u - 29 x v
Using the fact that the cross-product is distributive over vector addition, we can write this as:
3u x u + 3u x v - 29 x u - 29 x v = (3u - 29) x u + (3u - 29) x v
So the simplified vector expression is (3u - 29) x u + (3u - 29) x v.
1.30: False.
The given equation,
v x (a x R) = 0,
can be simplified to a scalar triple product,
(v x a) · R = 0.
Since the scalar triple product is equal to the determinant of a matrix formed by the three vectors,
this equation implies that either v x a = 0 or R = 0.
Therefore, the process that follows, solving for θ by dividing by the magnitude of v and taking the inverse sine, is only valid if v x a = 0.
The vector operations defined for a position vector a and a velocity vector b are vector addition and scalar multiplication.
Simplified Vector expression is (3u - 29) x u + (3u - 29) x v.
False as the process that follows, solving for θ by dividing by the magnitude of v and taking the inverse sine, is only valid if v x a = 0.
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Athlete J runs 2/3 of a mile in 8 minutes. Athlete H runs 2 3/4 miles in 1/2 hour.
1. If Athlete J continues at that speed, how long will it take to run one mile?
2.How long will it take Athlete J to run 5 miles at that same speed?
3.Who runs faster, Athlete J or Athlete H? Explain your answer.
Answers
If Athlete J continues at that speed, it will take 12 minutes to run 1 mile
It will take Athlete J 60 minutes to run 5miles
Since the speed of Athlete H is greater than that of J, hence Athlete H runs faster.
The formula for calculating the speed of the athlete is expressed as:
Speed = Distance/Time
1) If Athlete J runs 2/3 of a mile in 8 minutes, this can be expressed as:
2/3 miles = 8 minutes
If the athlete runs for 1 mile, then;
1 mile = x
Divide both expressions
2/3 = 8/x
2x = 24
x = 12 minutes
Hence If Athlete J continues at that speed, it will take 12 minutes to run 1 mile
2) if athlete J run 5 miles, the time taken will be expressed as;
2/3(5) = 8/x
2/15 = 8/x
2x = 120
x = 60minutes
Hence it will take Athlete J 60 minutes to run 5miles
3) If Athlete H runs 2 3/4 miles in 1/2 hour, then the speed of athlete H will be expressed as:
Speed = (2 3/4)/0.5
Speed = 2.75/0.5
Speed = 5.5miles/hr
For Athlete J;
Speed = 5/1
Speed = 5 miles/hr
Since the speed of Athlete H is greater than that of J, hence Athlete H runs faster.
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Lynn spent 7/10 of her money and saved the rest. She spent 42$ how much did she start with
Answers
Answer:
She started with $60
Step-by-step explanation:
2x + 8 > -4. 2.find the solution set of x and express the solutions set in number form
Answers
The solution set of this inequality is {x| x > -6.1}
How to find the solution set?Here we have the inequality:
2x + 8 > -4.2
To find the solution set, we need to isolate the variable x in one of the sides of the inequality. Doing that we will get:
2x + 8 > -4.2
2x > -4.2 - 8
2x > -12.2
x > -12.2/2
x > -6.1
So the set of all numbers larger than -6.1, this in number form is:
{x| x > -6.1}
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Find the value of x that will make A||B
А.
9x - 40
B
3x + 20
x= [?]
Answers
Answer:
x = 10
Step-by-step explanation:
soln
9x - 40 = 3x + 20
9x - 3x = 20 + 40
6x = 60
x = 10
steve must pay 28% of his salary in federal income tax. If his salary is 168,000, how much is his federal income tax
Answers
Answer:
Step-by-step explanation:
168000*28%=47,040
A university dean of students wishes to estimate the average number of hours students spend doing homework per week. The standard deviation from a previous study is 6.2 hours. How large a sample must be selected if he wants to be 99% confident of finding whether the true mean differs from the sample mean by 1.5 hours
Answers
Answer:
The Sample Size Need To be at least 114
Step-by-step explanation:
According to the Question,
Given, A university dean of students wishes to estimate the average number of hours students spend doing homework per week. The standard deviation from a previous study is 6.2 hours.The Maximum Error(E) is given as 1.5 hours and the standard deviation(σ) is 6.2 hours.
Now, For 99% Confident the level of value α is 0.01.α/2 = 0.01/2 ⇒ 0.005
Thus, From The table, We get that the value of \(Z_{alpha/2}\) is 2.58.Hence, the sample size n can be found as
n = {\(\frac{(Z_{alpha/2} * Standard Deviation)}{E}\)}²
n = {2.58 × 6.2}² / 1.5²
n = 113.72 .
So, The Sample Size Need To be at least 114.
At a swimming race, 3 out of 10 swimmers won a ribbon. What percent of the swimmers won a ribbon?
Answers
Answer:
30% of the swimmers won a ribbion
and 70% didnt
Step-by-step explanation:
What is the solution set for this inequality? -6x + 38 > -9
Answers
Answer:
x<47/6
Step-by-step explanation:
-6x + 38 > -9
Subtract 38 from both sides;
-6x+38-38>-9-38
Simplify:
-6x>-47
Multiply both sides by (-1) ( reverse the inequality)
(-6x)(-1)<(-47)(-1)
Simplify;
6x<47
Divide both sides by 6
6x/6=47/6
Simplify;
x<47/6
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What are the missing reasons in the proof?
50 points!
Answers
The missing reasons in the proof that shows that the triangles are congruent by SSS are:
3. Definition or parallelogram
4. Alternate interior angles theorem
5. Reflexive property of congruency
6. SSS Congruence Theorem
What is the SSS Congruence Theorem?The SSS congruence theorem is applicable when two triangles have three pair of corresponding side lengths that are congruent to each other. The SSS congruence theorem states that they are congruent to each other. This theorem can be used in proof where it is established that the three sides of two triangles are equal to each other.
What is the Reflexive Property of Congruency?A side is congruent to itself according to the reflexive property of congruency. This means that if two triangles share a common side, the two angles therefore have a pair of corresponding congruent sides in a proof.
Therefore, the missing reasons for the proof are explained below:
Statements Reasons
1. AD║BC 1. Definition or parallelogram
2. ∠ADB ≅ ∠CBD 2. Alternate interior angles theorem
3. AB║CD 3. Definition or parallelogram
4. ∠ABD ≅ ∠CDB 4. Alternate interior angles theorem
5. DB ≅ DB 5. Reflexive property of congruency
6. ΔABD ≅ ΔCDB 6. SSS Congruence Theorem
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Andrew is elder to Brian by 2 years. Andrew's father Frank is twiceas old as Andrew, and Brian is twice as old as his sister Sarah. If theages of Frank and Sarah differ by 40 years, then find the age ofAndrew.
Answers
Let "x" represent the age of Brian.
Andrew is elder than Brian by 2 years, we can symbolize his age as "x+2"
Frank is twice as old as Andrew, we can symbolize his age as "2(x+2)"
Sarah has half the age of Brian's, we can symbolize her age as "x/2"
Frank ans Sarah's ages differ by 40 years, we can symbolize this as:
\(2(x+2)-\frac{x}{2}=40\)Solve the term is parenthesis
\(\begin{gathered} 2x+4-\frac{1}{2}x=40 \\ 2x-\frac{1}{2}x+4=40 \\ \frac{3}{2}x=40-4 \\ \frac{3}{2}x=36 \\ x=24 \end{gathered}\)x=24 years
Andrew's age is
\(x+2=24+2=26\)Andrew is 26 years old
To use unit analysis to convert 7 feet to yards you could use: (DO NOT CONVERT!)To use unit analysis to convert 7 feet to yards you could use: (DO NOT CONVERT!)
Group of answer choices
7ft1⋅3yd1ft
(7 ft/ 1 ) multiplied by (3 yd/ 1ft)
7ft1⋅12in1ft
(7 ft/1) multiplied by (12 inches/1 ft)
7yd1⋅3ft1yd
None of these
7ft1⋅1yd3ft
Answers
Answer:
7ft/1yd ⋅1yd/3ft
Step-by-step explanation:
To use unit analysis to convert 7 feet to yards
Using unit analysis
1 yard = 3 feet
Hence
3 feet = 1 yard
7 feet = x yard
Cross Multiply
3 feet × x yard = 7 feet × 1 yard
We can represent this as
7 feet/1 yard × 1 yard/3 feet
The correct Option is :
7ft/1yd ⋅1yd/3ft
2,983,562 to the nearest hurdreth
Answers
Answer:
2,983,562 if you mean hundredth
if to the nearest hundred then 2,983,600
Step-by-step explanation:
B
Identifying Properties of Substances and Mixtures
Which properties are characteristics of pure substances, and which are characteristics of mixtures?
May be multiple states of matter
Pure Substances
Exist in the same state of matter
Can be separated physically
Have consistent properties
Cannot be separated physically
Cannot be a single element
Intro
Mixtures
Done
Answers
Properties of pure substances:
Exist in the same state of matterHave consistent propertiesCannot be separated physicallyProperties of mixtures:
May be multiple states of matterCan be separated physicallyCannot be a single elementPure substances:
Each homogenous mixture contains only pure substances. No matter how tiny the sample size, these chemicals primarily have a stable or comparable composition throughout. Water, steel, and iron are a few examples of pure materials.
Mixtures:
In chemistry, a mixture is a compound made up of two or more simpler substances. These substances may be chemical elements or compounds. You can create a mixture of gases, solids, or liquids. For instance, when sugar is added to water, it first forms a mixture before dissolving to produce a solution.
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