PLEASE HELP `30 points!!!!
Solve and show your work for each question.
Note: Remember per the rule of 9s if you have a repeating and non-repeating component you need to handle them separately.
What is 0.65 expressed as a fraction in simplest form?
What is 2.¯5 expressed as a fraction in simplest form?
What is 1.0¯24 expressed as a fraction in simplest form?
Answer:
Part A)
Part B)
Part C)
Answers
Answer:
Step 1: Write down the decimal as a fraction with the decimal number as the numerator and 1 as the denominator.
Step 2: Multiply both the numerator and denominator by 10^n, where n is the number of digits after the decimal point.
Step 3: Simplify the resulting fraction.
Using these steps, we can convert the given decimal numbers to fractions:
0.65
Step 1: 0.65 = 65/100
Step 2: Multiply numerator and denominator by 10 to get rid of the decimal point: 65/100 = 650/1000
Step 3: Simplify by dividing numerator and denominator by their greatest common factor of 50: 650/1000 = 13/20
Therefore, 0.65 expressed as a fraction in simplest form is 13/20.
2.¯5
To handle repeating decimal numbers, we can use the following method:
Step 1: Let x be the repeating decimal number.
Step 2: Multiply both sides of x by 10^n, where n is the number of digits in the repeating part of the decimal number.
Step 3: Subtract the original number from the number obtained in step 2 to eliminate the repeating part.
Step 4: Solve for x by dividing both sides of the equation obtained in step 3 by an appropriate factor.
Step 1: Let x = 2.¯5
Step 2: Multiply both sides by 10: 10x = 25.¯5
Step 3: Subtract the original equation from step 1: 10x - x = 25.¯5 - 2.¯5
Simplifying: 9x = 23
Step 4: Solve for x by dividing both sides by 9: x = 23/9
Therefore, 2.¯5 expressed as a fraction in simplest form is 23/9.
1.0¯24
Step 1: Let x = 1.0¯24
Step 2: Multiply both sides by 10^2 to eliminate the repeating part: 100x = 124.¯24
Step 3: Subtract the original equation from step 1: 100x - x = 124.¯24 - 1.0¯24
Simplifying: 99x = 123
Step 4: Solve for x by dividing both sides by 99: x = 123/99
We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor of 3: 123/99 = 41/33.
Therefore, 1.0¯24 expressed as a fraction in simplest form is 41/33.
Step-by-step explanation:
0.65 expressed as a fraction in simplest form is 13/20.
2.5 expressed as a fraction in simplest form is 5/2.
1.024 expressed as a fraction in simplest form is 256/250.
What is the simplified form of the expressions in fraction?0.65 expressed as a fraction in simplest form:
Write the decimal as a fraction by placing it over 1. In this case, 0.65 becomes 0.65/1.
Remove the decimal by multiplying both the numerator and the denominator by a power of 10 that will eliminate the decimal.
In this case, multiplying by 100 will do the trick, so we get (0.65 × 100)/(1 × 100) = 65/100.
Lastly, simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 65 and 100 is 5, so dividing both by 5 yields 13/20.
2.5 expressed as a fraction in simplest form:
Write the decimal as a fraction by placing it over 1. In this case, 2.5 becomes 2.5/1.
Remove the decimal by multiplying both the numerator and the denominator by a power of 10 that will eliminate the decimal.
In this case, multiplying by 10 will do the trick, so we get (2.5 × 10)/(1 × 10) = 25/10.
Lastly, simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 25 and 10 is 5, so dividing both by 5 yields 5/2.
1.024 expressed as a fraction in simplest form:
Write the decimal as a fraction by placing it over 1. In this case, 1.024 becomes 1.024/1.
Remove the decimal by multiplying both the numerator and the denominator by a power of 10 that will eliminate the decimal.
In this case, multiplying by 1000 will do the trick, so we get (1.024 × 1000)/(1 × 1000) = 1024/1000.
Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 1024 and 1000 is 8, so dividing both by 8 yields 128/125.
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Related Questions
Please help
I need help on these two
Answers
Answer:surface area of pyramid is 118.80
And the volume of the cube is 1000
Step-by-step explanation:explain on picture
Answer:169.92 cm^2
Step-by-step explanation:
The base is 7.2 x 7.2 (This equals 51.84)
The area of one triangle is 29.52
There are 4 triangles with the same side lengths so you multiply 29.52 x 4.
This would equal 188.08.
Then you add everything together.
This equals 169.92 cm^2.
Answer:1,000 m^3
The formula for volume is hlw.
One of the side lengths of the cube is 10.
If the height, length, and width are ten, then you multiply them all together.
This would give you 1,000.
Jaden made a rectangular sign that is 1.4 meters long and 1.2 meters wide to post on the wall of his store. How many square meters of wall does the sign cover? The answer is 1.68, but to solve the problem, you need to find 1.4 x 1.2(which it is 1.68). Estimate the area of wall that the sign will cover. Explain your thinking please.
Answers
First, we can round the dimensions of the sign to the nearest whole number to make the multiplication easier. Rounding 1.4 to 1 and 1.2 to 1, we can estimate that the sign covers approximately 1 square meter of wall.
This estimation assumes that the sign is placed directly on the wall with no gaps or overlaps. In reality, the actual area of wall covered by the sign may be slightly larger or smaller depending on the installation method and any spacing between the sign and the wall.
It's important to note that while estimation can be useful for getting a rough idea of the answer, it's not always accurate and should not be relied upon for precise calculations. In this case, using the actual dimensions of the sign to find the area of the wall covered (1.4 x 1.2 = 1.68 square meters) gives a more accurate result.
Answer needed by 1:30-2:30pm
Answers
Answer:
The answer is 78
Step-by-step explanation: Well, first thing I did was cut into two shapes so a square and a rectangle and 3 x 2 = 6 and 9 x 8 = 72 and 72 +6 = 78
Answer:
78
Step-by-step explanation:
3 x 2= 6
9 x 8 = 72
72 + 6 = 78
Brody calculated the area of a square to be 16/36
square foot.
Which shows the side length of the square?
Answers
Answer:
Step-by-step explanation:
Area of a square = length²
If the area of a square is given, in order to determine the length, find the square root of the area.
√16 / 36 = 4/6 foot
Data was collected on the amount of time that a random sample of 8 students spent studying for a test and the grades they earned on the test. A scatter plot and line of fit were created for the data.
Determine the equation of the line of fit.
y = 5x + 60
y = 5x + 70
y = 10x + 60
y = 10x + 70
Answers
Let's look at the graph and pick two points, (2, 70) and (4, 80) and use slope formula, y2 - y1 / x2 - x1
80 - 70 / 4 - 2
10 / 2
5
The slope of this line is 5.
To find the y-intercept, we look where the line crosses through the y-axis or the vertical line.
The y-intercept is (0, 60) or 60
If we plug these numbers into slope-intercept form, we get y = 5x + 60
Your answer is y = 5x + 60
PLS HELP!! ASAP!!! WILL GIVE BRAINLIEST!!
Jacinta drove from the mountains to the desert. She went from 8,560 feet above sea level to 122 feet below sea level.
If she drove at a constant speed for six hours, which statement represents her rate of change in elevation
(A) Jacinta descended at a rate of 732 feet per hour.
(B) Jacinta descended at a rate of 1,426 2/3 feet per hour.
(C) Jacinta descended at a rate of 1,406 1/3 feet per hour.
(D) Jacinta descended at a rate of 1,447 feet per hour.
Answers
Answer: D) 1,447 feet per hour
Step-by-step explanation:
8,560 + 122 = 8,682
8,682 ÷ 1,447 = 6
(For clarification, 6 × 1,447 = 8,682; 1,447 feet descended every hour.)
Use the image to determine the direction and angle of rotation.
270° clockwise rotation
270° counterclockwise rotation
90° clockwise rotation
180° clockwise rotation
Answers
Five balls, A, B, C, D, and E, weigh 30g, 50g, 50g, 50g, and 80g each. Which ball weighs 30g?
Answers
Answer:
A weighs 30 because it is always on the higher side
help me thank you if u did i forgot
Answers
Answer:
790,000
Step-by-step explanation:
The 5 represents the number by itself so it would be
10x10x10x10x10=100,000
7.9x100,000=790,000
Step-by-step explanation:
if you multiply something by 10 = 10¹, you move the decimal point 1 position to the right (and fill up with a 0, if necessary).
if you multiply something by 100 = 10², you move the decimal point 2 positions to the right (and fill up with 0s as needed).
if you multiply something by 1000 = 10³, you move the decimal point 3 positions to the right (and fill up with 0s as needed).
...
you see the pattern ?
so, when multiplying by 10⁵ (100,000) we shift the decimal point 5 pairings to the right and fill up with 0s as needed.
therefore,
7.9 × 10⁵ = 790,000.-
PLS HELP ASAP WILL MARK BRAINLIEST
Triangle ABC ~ triangle DEF. Use the image to answer the question.
Answers
Answer:
3.3/11 = DF/7.6
DF = (3.3 × 7.6)/11 = 2.28
Answer my other questions, get brainliest!
Triangle ABC with vertices at A(4, 3), B(3, −2), C(−3, 1) is dilated using a scale factor of 1.5 to create triangle A′B′C′. Determine the vertex of point A′.
A: A′(−6, 4.5)
B: A′(4, 4.5)
C: A′(6, 3)
D: A′(6, 4.5)
Answers
A' = k * A + (1 - k) * O
where k is the scale factor, A is the original coordinates of vertex A, and O is the center of dilation. Since no center of dilation is given, we can assume that the origin (0, 0) is the center of dilation.
So, using k = 1.5, A = (4, 3), and O = (0, 0), we get:
A' = 1.5 * (4, 3) + (1 - 1.5) * (0, 0)
= (6, 4.5) + (0, 0)
= (6, 4.5)
Therefore, the coordinates of vertex A' after the dilation are (6, 4.5).
Thus, the correct answer is option D: A′(6, 4.5).
Simplify:
13a^2 + 14 - 17a - 12a^2 + 6a - a^2
answer choices;
A.) a - 14
B.) a + 14
C.) -9a^2 + 14
D.) -9a^2 - 5a - 14
Answers
Answer:
B
Step-by-step explanation:
How much liquid does this cup contain?
A. Between 1/3 cups and 1/2 cups B. Between 1/2 cups and 2/3 cups C. Between 2/3 cups and 5/6 cups D. Between 5/6 cups and 1 cups
Answers
In the US, 42% of people have type A blood, 10% have type B, 4% have type AB, and 44% have type O. People with type Band type AB blood can receive type B blood. What percentage of people can receive transfusions of type B blood?
Answers
Answer: 14%
Step-by-step explanation:
10+4=14
So, the percentage of people who can receive transfusions of type B blood is the sum of the percentage of people with type B and AB blood, which is:
10% + 4% = 14%
Therefore, 14% of people can receive transfusions of type B blood.
Which statement is true
Answers
Answer: The answer is B
Step-by-step explanation:
The statement which is true include the following: C. function 2 is the only nonlinear function.
What is a linear function?In Mathematics and Geometry, a linear function refers to a type of function whose equation is graphically represented by a straight line on the xy-plane or cartesian coordinate.
This ultimately implies that, a linear function has the same (constant) slope and it is typically used for uniquely mapping an input variable to an output variable, which both increases simultaneously.
In this context, we can logically deduce that function 2 is a quadratic function and as such, it is the only nonlinear function.
Read more on linear function here: brainly.com/question/27325295
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Help would be appreciated
Answers
Answer:
1.5 miles less
Step-by-step explanation:
Step 1: Find equation for Alexanda
We can see from Fabian's equation that there is a linear relationship between miles (y) and gallons (x).Fabian's equation is in the slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. Although we're not given the equation for Alexandra, we can find it using the slope formula, which is[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].
If we allow (8, 345.6) to be our x1 and y1 and (12, 518.4) to be our x2 and y2, our slope is
[tex]m=\frac{(518.4-345.6)}{(12-8)}\\ m=\frac{172.8}{4}\\ m=43.2[/tex]
Now, we must find the y-intercept by plugging in 43.2 for m, 8 for x, and 345.6 for y into the general slope-intercept form and solving for b:[tex]345.6=43.2(8)+b\\345.6=346.6+b\\0=b[/tex]
Thus, the equation for Alexandra is y = 43.2x
Step 2: Plug in 1 for x for both Fabian and Alexandra's equations and subtract
Since x is is gallons, we plug in 1 for x for each equation and subtract Fabian's miles from Alexandra's miles to find how many miles less can Fabian drive one 1 gallon of gas than Alexandra:
Fabian: y = 41.7(1) = 41.7
Alexandra: y = 43.2(1) = 43.2
Difference of Alexandra and Fabian's miles: 43.2 - 41.7 = 1.5
Please help i'm so confused
Answers
Answer:
2/3
Step-by-step explanation:
because 1 1/2 x 2/3 = 2 1/4
Answer:
1 1/2 = 3/2
2 1/4 = 9/4
3/2 divided by 9/4 = 3/2 multiplied by 4/9 = 2/3
EXPLANATION : when we have 2 fractions and we have to divide them , we have to reverse the fraction that we are dividing by and multiply it. sometimes we can simplify the fractions , sometimes we can't. for example , with 3/2 multiplied by 4/9 we simplified 3 and 9 and the 2 and the 4 which left us with 1/1 ( 1 ) multiplied by 2/3 , which gave us the answer 2/3 .
Hope I helped!
Which of the following sets of ordered pairs represents a function?
A: {(−4, −3), (−2, −1), (−2, 0), (0, −2), (0, 2)}
B: {(−5, −5), (−5, −4), (−5, −3), (−5, −2), (−3, 0)}
C: {(−4, −5), (−4, 0), (−3, −4), (0, −3), (3, −2)}
D: {(−6, −3), (−4, −3), (−3, −3), (−2, −3), (0, 0)}
Answers
Answer:
A set of ordered pairs represents a function if each input (first coordinate) corresponds to one and only one output (second coordinate). In other words, there can't be two different second coordinates for the same first coordinate.
Using this definition, we can determine which of the sets of ordered pairs represents a function:
A: {(-4, -3), (-2, -1), (-2, 0), (0, -2), (0, 2)}
The input -2 has two different outputs (-1 and 0), and the input 0 also has two different outputs (-2 and 2). Therefore, this set does not represent a function.
B: {(-5, -5), (-5, -4), (-5, -3), (-5, -2), (-3, 0)}
The input -5 has four different outputs (-5, -4, -3, and -2), but each of the other inputs has only one output. Therefore, this set does not represent a function.
C: {(-4, -5), (-4, 0), (-3, -4), (0, -3), (3, -2)}
The input -4 has two different outputs (-5 and 0), but each of the other inputs has only one output. Therefore, this set does not represent a function.
D: {(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}
Each input has only one output, so this set represents a function.
Therefore, the set of ordered pairs that represent a function is D: {(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}.
Question 21: A box covers an area of 8 3/4 in. squared when resting on its base. The volume of the box is 74 3/8 in. cubed. Can you find the surface area of the box? Explain.
Answers
What is the surface area of the cylinder represented by the net? Apply the formula SA = 2B + Ph. Use π as part of your answer.
Answers
Answer:
128π
Step-by-step explanation:
SA = 2B + Ph = 2πR² + 2πRh = 2π.16 + 2π.4.12 = 128π
Can someone help me and answer this
Answers
The new equation would be m=60(1)
Then you just solve for m to find how many minutes and the answer is 60.
Bo practices 60 minutes per day.
Please help on this question :)
Answers
Answer:
15 cm × 9.5 cm = 142.5 square cm
Answer:
The area of the given figure is 142.5 sq. cm.
Step-by-step explanation:
The area of a parallelogram is given by the base multiplied by the height. The base in the given figure is 15 cm whereas the height is 9.5 cm.
15 × 9.5 equals 142.5
Hence, the area is 142.5 sq. cm.
help me on thi it due in 4 hours btw please help me
Answers
Answer:
3
Step-by-step explanation:
the formula for the area of a rectangle is length x width, and so you do 3/5 x 5, which ends up as 15/5, since 5 is also 5/1. Then you get 3 as the area of the rectangle's area.
Answer:
3 ft
Step-by-step explanation:
3/5 x 5 = 15/5
15 / 5 = 3
Please Help me i really need to pass this!
Answers
Answer: I must say it's (0,3)
Step-by-step explanation: The two lines meet at (0,3) so it's (0,3).
Hope it helps! :D
A new physical therapy is being tested in an experimental setting to see if the new methods reduce the recovery time for patients who recently underwent surgery for a torn ACL, a ligament in your knee. To do this, the researchers in the study first performed intake on participants by observing their Body Mass Index (BMI) and had them take a survey to describe their diet and their exercise habits.
Then, the participants were split into three groups: the first group received no physical therapy, the second group received traditional physical therapy, and the third group received the new experimental physical therapy.
The group which receives no physical therapy would best be described as which of the following?
Explanatory Variable
Response Group
Control Group
Experimental Unit
Answers
Answer: The group which receives no physical therapy would best be described as the Control Group.
In an experimental study, the control group is a group of participants who do not receive the treatment being tested. They are used as a basis for comparison to evaluate the effectiveness of the treatment. In this case, the researchers are testing whether the new physical therapy reduces the recovery time for patients who underwent surgery for a torn ACL. The control group allows the researchers to compare the recovery time of patients who received no physical therapy to those who received either traditional or experimental physical therapy.
Step-by-step explanation:
The area of the circle is 9/64π square units. The radius of a circle is blank units. The circumference of the circle is blank units.
*One radius and one circumference*
a. 9/32
b. 3/8
c. 3/4
d. 9/32π
e. 3/8π
f. 3/4π
Answers
Answer:
C = 2π(3/8) = 3π/4 units
Step-by-step explanation: The area of the circle is given by the formula A = πr^2, where A is the area and r is the radius.Therefore, 9/64π = πr^2Simplifying, we get:r^2 = 9/64Taking the square root of both sides, we get:r = 3/8The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius.Therefore, the circumference of the circle is:C = 2π(3/8) = 3π/4 units
PLS HELP ASAP! WILL GIVE BRAINLIEST!!! Jason rode his bike in a sprint trial for 15 minutes and complicated a distance of 9 3/4 miles. In his second sprint trial he rode for 20 minutes and completed a distance of 12 2/3 miles.
What is the difference in his speed in miles per hour between the two sprint trials?
(A) The first trial was 3 miles per hour slower.
(B) The first trial was 3 miles per hour slower.
(C) The second trial was 1 mile per hour faster.
(D) The second trail was 1 mile per hour slower.
Answers
Please help me this is due today
Answers
a) The predicted heating cost for a month with temperature of 25 ºF is given as follows: $65.70.
b) The predicted heating cost for a month with temperature of 0 ºF is given as follows: $96.20
c) For an increase of one degree Fahrenheit, the predicted decrease in the cost is of $1.22.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The slope and the intercept for the function in this problem are given as follows:
Slope of -1.22, meaning that for an increase of one degree Fahrenheit, the predicted decrease in the cost is of $1.22.Intercept of 96.2, meaning that the predicted heating cost for a month with temperature of 0 ºF is of $96.20.Hence, the predicted cost for a month with temperature of 25ºF is given as follows:
y = -1.22(25) + 96.20 = $65.70.
More can be learned about linear functions at https://brainly.com/question/24808124
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graph f(x)=|x+1|+3 then find the domain and range
mainly looking at how id find the coordinates!
Answers
Domain is all real numbers. Range is
Step-by-step explanation:
The function is a transformation of the parent function by moving the function up by 3 units.
So, the graph of the function is shown below.
From the graph, it is clear that the values has no limitation and hence can take any real values. Domain is the set of all possible values.
So, domain is the set of all real numbers.
Range is the set of all possible values for for the given domain.
From the graph, the minimum value of is at the point (. So, the minimum value of y is 3. The value then goes on increasing towards infinity.
Therefore, range is a real number greater than or equal to 3.
So, range is or
Carl sells snow cones at a baseball park. The graph shows the amount of ice used for the snow cones, in pounds, over a certain amount of time, in minutes.
Which of the following describes the graph?
Carl had 1 pound of ice after 2 minutes, used 8 pounds every minute for 4 minutes, and then used 3 pounds each minute for 6 minutes.
Carl had 2 pounds of ice after 8 minutes, used 8 pounds every minute for 4 minutes, and then used one half pound each minute for 6 minutes.
Carl had 4 pounds of ice after 1 minute, didn't use any ice for 4 minutes, and then used 2 pounds each minute for 6 minutes.
Carl had 8 pounds of ice after 2 minutes, didn't use any ice for 4 minutes, and then used one half pound each minute for 6 minutes.
Answers
Answer: It is D. Carl had 8 pounds of ice after 2 minutes, didn't use any ice for 4 minutes, and then used one half pound each minute for 6 minutes.
Step-by-step explanation: