The fractions reduced to standard form are -2/5, 1/5, 1/2 and 5/11 for 1), 2), 3), and 4) respectively
How to reduce fractions to standard form?
To reduce a fraction to standard form, you need to divide both the numerator (the top number) and the denominator (the bottom number) by their greatest common divisor (GCD). The GCD is the largest number that can be evenly divided into both the numerator and the denominator.
Given:
1) -18/45
The GCD of 18 and 45 is 9. Thus:
-18/45 = -2/5
2) -3/-15
The GCD of 3 and 15 is 3. Thus:
-3/-15 = 1/5
3) 28/56
The GCD of 28 and 56 is 28. Thus:
28/56 = 1/2
4) 45/99
The GCD of 45 and 99 is 9. Thus:
45/99 = 5/11
Learn more about reduction of fraction to standard form on:
https://brainly.com/question/11562149
#SPJ1
1)-6/15
2)1/5
3)1/2
4)5/11
1) -18/45
⇒-6/15
2)-3/-15
⇒-1/-5
⇒1/5
3)28/56
⇒4/8
⇒1/2
4)45/99
⇒15/33
⇒5/11
For more information regarding division of fractions
https://brainly.com/question/1622425
can someone solve: Layla wants to build a wooden box with a volume of 454545 cubic centimeters.
She started with a width of 3\text{ cm}3 cm3, start text, space, c, m, end text and a height of 3\text{ cm}3 cm3, start text, space, c, m, end text.
How long should Layla make the box? if someone could kindly do so, please put an answer AND comment by copying and pasting the answer! omg tysm
Layla can make the box up to 5centimeter long.
How to calculate volume of a box?Rectangles have a volume that is equal to their length, breadth, and height. If your box is a cube or a rectangular prism, all you need to know is its size in terms of length, width, and height. Then, to calculate volume, multiply them all together.V = l x w x h
Measure the box's length. If you look up at your box from the bottom, the top appears to be a flat rectangle with the longest side being the height. This number should be noted as "length." If you measure one side in inches, you must measure them all in inches. Be sure to use the same measurement for each side.Next to the length, gauge the box's breadth. The box's other edge, adjacent to the length, is its breadth. The breadth is the side that forms a "L" with the length when you look at one side of the box. This measurement should be noted as "width." The side that is shorter is always the width.The box's height should be measured. The distance from the top of the box to the ground is the last side you haven't measured. This measurement should be noted as "height." Add the three sides together and multiply. Remember that the formula for volume is V = length x width x height, therefore to calculate volume, simply multiply the three sides by one another. Include the measurement units you used as well, so you don't misinterpret your results.Units should be added to your volume. Volume is a measurement, but if you don't know the system used to measure it, your result won't signify anything. Your form of measurement cubed is the proper way to write out volume.Here it is given that,
volume= 45cm³
width= 3cm
height=3cm
volume = width × height × length
45cm³=3cm×3cm×length
45cm³=9cm²×length
length=45cm³÷9cm²
=5cm.
Hence, Layla can make the box up to 5centimeter long.
To learn more about volume of a box refer to:
https://brainly.com/question/463363
#SPJ1
Which method could you use to eliminate one
of the variables from the following system of
equations?
4x - 6y = 18
3x + 4y = 5
A. Multiply the first equation by 2 and the second
equation by 3. Then add the equations.
B. Multiply the first equation by 3 and the second
equation by 4. Then add the equations.
C. Multiply the first equation by 4 and the second
equation by -6. Then add the equations.
D. Multiply the first equation by 5 and the second
equation by 18. Then add the equations.
Answer:
B
Step-by-step explanation:
To eliminate one of the variables from a system of equations, we can multiply one or both equations by constants and then add the equations together. In this case, the correct method to use is to multiply the first equation by 3 and the second equation by 4, and then add the equations together. This will eliminate the y-variable from the system of equations. Thus, the correct answer is option B: multiply the first equation by 3 and the second equation by 4, and then add the equations together.
The correct is option B (i.e.Multiply the first equation by 3 and the second
the equation by 4. Then add the equations.)
multiplying the first equation by 3 and the second equation by 4:
12x - 18y = 54
12x + 16y = 20
subtracting the first equation from the second equation:
( 12x - 18y = 54) - (12x + 16y = 20)
-2y = -34
y = 17
substituting y = 17 in the first equation:
4x - 6(17) = 18
4x = 106
x = 26.5
Learn more about ELIMINATING ONE VARIABLE:
brainly.com/question/10609245
if anyone can help me solve this i will give you 20 points!!
Answer:137
Step-by-step explanation:
A window company makes two square windowpanes. Windowpane A
has an area of 176 square inches. Windowpane B has an area of 275
square inches. How much longer is a side of Windowpane B than a
side of Windowpane A? Study the pictures.
Answer: 99.
If you take 275 and subtract it by 176, it should be 99, if I’m correct.
answer for ten points!
Answer:
try 1239128981441231241
Step-by-step explanation:
myra
What is the value of x?
pls help
write the equation that gives the proportional relationship of the graph
a. y=7x
b.y=35x
c.y=5x
d.y=1/7x
Answer:
y=7x
Step-by-step explanation:
Is this statement true or false?
TRUE: The given condition is correct that m ≤ 10 and m > 4.
Explain the term inequality of the numbers?An inequality in mathematics depicts the relationship between these two values in an unbalanced algebraic expression. A sign of inequality can be used to show that one of the two variables is larger than, greater than or comparable to, less than, or equal to some other value.Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two parameters are not equal. But several inequalities are utilized to compare the numbers, either it is less than or higher than.For the given statement;
m ≤ 10 and m > 4, the number for the value of m be;
m = 5, 6, 7, 8, 9, 10.
Thus, the given condition is correct that m ≤ 10 and m > 4.
To know more about the inequality of the numbers, here
https://brainly.com/question/19003099
#SPJ1
a friend of yours who works in the it department of a bank tells you that tellers are allowed to log in to their terminals only from 9 a.m. to 5 p.m., monday through saturday. what is this restriction an example of?
Given restriction is an example of Time-of-day restrictions
The correct answer is an option (C)
In this question we have been given a friend tells you that tellers
are allowed to log in to their terminals only from 9 a.m. to 5 p.m., Monday through Saturday.
We need to identify the type of restriction in this example.
We know that time-of-day restrictions are the restrictions that often used to limit the hours during which a user is allowed to log into or access a system.
This type of restrictions helps prevent unauthorized access outside that user's normal working hours .
Therefore, given restriction present in this example: Time-of-day restrictions
Learn more about the limit here:
https://brainly.com/question/29795597
#SPJ4
The complete question is:
A friend of yours who works in the IT department of a bank tells you that tellers are allowed to log in to their terminals only from 9 a.m. to 5 p.m., Monday
through Saturday. What is this restriction an example of?
A. User auditing
B. Least privilege
C. Time-of-day restrictions
D. Account verification
Eva bought seven and one-half pounds of chocolate chips. She used three and three-fourths pounds in some cookies and two and five-sixths pounds in some muffins. How many pounds of chocolate chips were left?
A three-twelfths pounds
B eleven-twelfths pounds
C one and two-twelfths pounds
D one and seven-twelfths pounds
Answer:
B
Step-by-step explanation:
[tex]7\frac{1}{2} - 3\frac{3}{4} - 2\frac{5}{6} \\= \frac{15}{2} - \frac{15}{4} - \frac{17}{6} \\(common denominate is 12)\\=\frac{90}{12} -\frac{45}{12} -\frac{34}{12} \\\\=\frac{11}{12}[/tex]
Chang and Carlotta solve this problem in two different ways.
You have $50 in your bank account.
You make $8 per hour mowing lawns.
How many hours must you mow lawns to have a total of $130 in your account?
Use the drop-down menus to complete the sentences below.
What are variables ?
There are certain things in real life that never change, like your birthday. However, other factors, such as temperature, age, height, etc., change with place and time. These amounts might be referred to as variables because they are changeable.
A symbol (often a letter) used in mathematics to represent an unknowable numerical value in an equation or algebraic statement. A variable can be defined as a quantity that is changeable and not fixed. Variables are crucial since they make up a significant portion of algebra.
Typically, "x" and "y" are used to denote unknowable integers. However, it is not required; any letter will do.
If I have $50 in my bank account and i have to make it $130 by mowing a lawn that means i need to earn on $80 by mowing the lawn
($130 - $50 =$80)
I can earn $8 per hour by mowing the lawn which means in only need to work for 10 hours to earn $80 ($8 per hour x 10 hours= $80 )
Chang and Carlotta method use different operations to simplify the expression in same order
Chang's method uses variable but Carlotta doesn't
Learn more about Variable from the link below
https://brainly.com/question/17344045
#SPJ1
This graph shows all the key characteristics of a particular polynomial function. Drag tiles to complete the function rule that could be represented by the graph
The function that can be represented by this graph is defined as follows:
f(x) = 2x³ + x - 3.
How to define the function?
The function is defined looking at the features of the graph.
The first feature which we look at is the y-intercept, as the graph of the function crosses the y-axis at y = -3, hence the function can be defined as follows:
f(x) = ax^n + x - 3.
The function has an inflection point, as it has a change in it's concavity, thus the function has a second derivative of the first degree, meaning that the function is of the third degree, that is:
n = 3.
The x-intercept is when the function crosses the x-axis, meaning that when x = 1, y = 0, then the leading coefficient a is obtained as follows:
0 = a + 1 - 3
a = 2.
Which means that the function rule can be given by:
f(x) = 2x³ + x - 3.
More can be learned about functions at brainly.com/question/24808124
#SPJ1
If three hens can lay 3 eggs in 3 days how many days can 7 hens lay 7 eggs? Pls help!!
Answer:
3 days
Step-by-step explanation:
true or false the effect size for a regression analysis will be equal to the coefficient of determination
The statement 'the effect size for a regression analysis will be equal to the coefficient of determination' is True
In this question we have been given a statement 'the effect size for a regression analysis will be equal to the coefficient of determination'
We need to state whether the given statement is true or false.
We know that the effect size measures the strength of the relationship between two variables on a numeric scale.
And the coefficient of determination(R²) measures how well a statistical model predicts an outcome. It is a number between 0 and 1.
R² is a measure of effect size
Therefore, 'the effect size for a regression analysis will be equal to the coefficient of determination' is True.
Learn more about regression analysis here:
https://brainly.com/question/28298210
#SPJ4
The answers are
A. Statement: FDC≈FAB Reason: SAS
B. Statement FDC~FBA Reason: AA
C. Statement FDC≈FBA Reason: SAS
D. Statement FDC~FAB Reason: AA
Can I get an answer as well as how it makes sense?
Answer:
Step-by-step explanatihelpson:
is c hope it
how many 10-digit integers are there which are palindromes? be sure to describe the process you are using.
There are 90000 palindromes 10-digit numbers.
In this question we need to find the number of 10-digit integers are there which are palindromes.
We know that a palindrome is a number that reads the same forward and backward.
The numbers that remain same even if they are reversed.
For exa., 131, 5225
We can observe that for even digit palindromes first half should be equal second half in reversed order.
we can generalize it as variables:
abcdeedcba, for a not equal to 0
So if we know how many 5-digit numbers are there, all we have to do is reverse it and we will have our 10-digit palindrome number.
There are 10 digits in total (0 - 9)
Since the first digit cannot be zero we excluded it from our choice hence we have 1–9 i.e 9 choices for first place(hundred's place)
The second, third, fourth and fifth digit has all 10 choices.
So, in total there are 9 x 10 x 10 x 10 x 10= 90000 five digit numbers.
Therefore, the total 10-digit numbers which are palindromes = 90000
Learn more about the palindromes here:
https://brainly.com/question/14076732
#SPJ4
the correlation between cost and distance is 0.791. describe the relationship between cost of damage and distance from the nearest fire station.
According to the question,
Given data,
The correlation between cost and distance is 0.791.
The farther the house is from a first station, the higher cost of damage tends to be.
the correlation between cost and distance
The largest single cost of liver transplantation is the cost of organ acquisition, with the variable portion of that amount being associated travel costs. We assessed the proportion of donors using ground, air, and jet transport and compared the transport costs of these three types of transport and their impact on organ procurement costs for transplant centers.
How is correlation measured?
The sample correlation coefficient r quantifies the strength of the relationship. Correlations are also tested for statistical significance.
To know more about correlation measured visit
https://brainly.com/question/22921782
#SPJ4
which point could represent 5/3?
A
B
C
D
Answer:
C
Step-by-step explanation:
5/3 can be written as 1.6666667 in decimal form. C is the only option greater than 1
If you vertically compress the absolute value parent function, F(x) = |x|, by multiplying by 3/4, what is the equation of the new function?
A. G(x) = | 3/4 x |
B. G(x) = |x| - 3/4
C. G(x) = 3/4 |x|
D. G(x) = | x + 3/4 |
Answer:G(x) = 3/4 |x|, nevertheless that is the same that G(x) = |3/4x|.
Step-by-step explanation:
Note that given that 3/4 is less than 1 the original function is compressed.
- Take care <3
Jacob is practicing the 100 meter dash. the data shows his time in seconds. 14, 13, 13.5, 16, 14 15.5, 14.5 Which box plot shows the data?
The box plot for given minimum, maximum, median, Q1 and Q3 is plotted below.
What is a box and whisker plot?A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median.
The given data set is 14, 13, 13.5, 16, 14, 15.5, 14.5.
Order of data is 13, 13.5, 14, 14, 14.5, 15.5, 16.
Here, minimum is 13
Maximum is 16
Median is 14
Lower quartile range(Q1) is 13.5
Upper quartile range(Q3) is 15.5
Therefore, the box plot for given minimum, maximum, median, Q1 and Q3 is plotted below.
Learn more about the box plot here:
https://brainly.com/question/1523909.
#SPJ2
What is the interest earned in a savings
account after 12 months on a balance of
$3500 if the interest rate is 1.5% APY
compounded yearly?
Answer:
The interest earned on a savings account with a balance of $3500 and an interest rate of 1.5% per year compounded yearly would be $52.50 after 12 months.
Step-by-step explanation:
To calculate the interest earned on a savings account, you need to know the interest rate, the length of time the money is deposited, and the starting balance. Based on the information provided, it appears that the interest rate is 1.5% per year, the money is deposited for 12 months, and the starting balance is $3500.
To calculate the interest earned, you would first need to convert the interest rate to a decimal by dividing it by 100. In this case, the interest rate would be 0.015. You would then multiply the interest rate by the starting balance to get the amount of interest earned in a year. In this case, the interest earned would be $3500 * 0.015 = $52.50.
Since the interest is compounded yearly, the total balance after one year would be the starting balance plus the interest earned. In this case, the total balance would be $3500 + $52.50 = $3552.50. Therefore, the interest earned on a savings account with a balance of $3500 and an interest rate of 1.5% per year compounded yearly would be $52.50 after 12 months.
Which is an equation of a line that passes through the point (-1, -4 and has an undefined slope?
If anyone can help me on the #14 please
4(4÷2+4)
Answer:24
Step-by-step explanation: 4(4÷2 + 4) = 24/1 = 24
Spelled result in words is twenty-four.
Divide: 4 / 2 = 2
Add: the result of step No. 1 + 4 = 2 + 4 = 6
Multiple: 4 * the result of step No. 2 = 4 * 6 = 24
This calculator adds two fractions. When fractions have the same denominators calculator simply adds the numerators and place the result over the common denominator. Then simplify the result to the lowest terms or a mixed number.
Answer:
24
Step-by-step explanation:
We have to solve this according to BODMAS Theorem.
That is,
B ⇒ Brackets
O ⇒ Of
D ⇒ Division
M ⇒ Multiplication
A ⇒ Addition
S ⇒ Subtraction
Let us solve it now.
4 ( 4 ÷ 2 + 4 )
4 ( 2 + 4 )
4 × 6
24
find the slope of the line thst passes through (10,2) and (1,3)
Answer: -7/1
Step-by-step explanation: When graphing both points and drawing a line through it, count how many times it goes up or down and then count how many times it goes left or right.
the standard error of the slope coefficient is 0.121855. calculate the lower limit of the 95% confidence interval of the slope coefficient for the regression of kinesthetic vark scores on the visual vark scores for biology students:
Lower limit = 0.45 - (1.96 * 0.121855) = 0.2209. This means that we can be 95% confident interval that the true slope coefficient lies between 0.2209 and 0.45.
1. The standard error of the slope coefficient can be calculated by dividing the sample standard deviation of the residuals (obtained from the regression output) by the square root of the sample size.
2. The lower limit of the 95% confidence interval of the slope coefficient can be calculated by subtracting 1.96 times the standard error of the slope coefficient from the coefficient itself.
Lower limit = 0.45 - (1.96 * 0.121855) = 0.2209
Interpretation
The lower limit of the 95% confidence interval for the slope coefficient of the regression of kinesthetic VARK scores on the visual VARK scores for biology students is 0.2209. This means that we can be 95% confident that the true slope coefficient lies between 0.2209 and 0.45.
Learn more about confidence interval here
https://brainly.com/question/24131141
#SPJ4
In triangle xyz, m∠y = 38.25° and m∠z = 74.3°. determine the measure of the exterior angle to ∠x. 152.05° 112.55° 98.60° 62.05°
Applying the exterior angle theorem, the measure of the exterior angle to angle X is: B 112.55°.
How to Apply the Exterior Angle Theorem?In other to find the measure of the exterior angle to angle X, we have to recall the theorem known as the exterior angle theorem, which states that the measure of an exterior angle is equal to the two interior remote angles that are opposite to it.
In triangle XYZ, angle Y and Z are the remote interior angles. We are given the following:
Measure of angle Y = 38.25°
Measure of angle Z = 74.3°
Therefore:
The measure of the exterior angle to angle X = measure of angle Y + measure of angle Z
Substitute
The measure of the exterior angle to angle X = 38.25° + 74.3°
The measure of the exterior angle to angle X = 112.55°
Learn more about exterior angles theorem on:
https://brainly.com/question/11356657
#SPJ1
To find the mass in grams, ______ the number of kilograms by the unit rate, _____ grams per kilogram.
PLEASE HELP
Answer:
To find the mass in grams, multiply the number of kilograms by the unit rate, 1000 grams per kilogram.
Explanation:
For every kilogram, there are 1000 grams. So, if you have 12 kilograms, you have 12,000 grams.
Help me aspp please before 11:59 pm
PLEASE HELLPPPP
The White Chuck Glacier is in the Cascade Range of western North America. In 1958 it covered 3.1 km?.
By 2002 it had lost about 70% of its area. What was the area of the glacier in 2002? Show your thinking.
Answer:
0.93 km
Step-by-step explanation:
The White Chuck Glacier lost 70% of its area between 1958 and 2002, which means that its area was reduced by 70/100 = <<70/100=0.7>>0.7.
Since the glacier-covered 3.1 km. in 1958, its area was reduced by 0.7 * 3.1 km? = <<0.7*3.1=2.17>>2.17 km.
Therefore, the area of the White Chuck Glacier in 2002 was 3.1 km. - 2.17 km? = <<3.1-2.17=0.93>>0.93 km.
Please help me with my geometry work
In geometry, the ray, line, or segment that splits a given angle into two equal pieces is known as the angle bisector. ,m∠2 = 40°.
What is a straight line?An unending, one-dimensional figure with no breadth is a straight line. It consists of an infinite number of points connected on either side of a point. A straight line has a 180° measurement.
Definition of angle bisector.In geometry, the ray, line, or segment that splits a given angle into two equal pieces is known as the angle bisector. For instance, a 60-degree angle will be split into two angles of 30 degrees each by an angle bisector. Alternatively said, it divides two smaller congruent angles. Given below is an image of an angle bisector of ∠AOB.
The graphic XYQ is the straight line, m∠3 = 40°, and m∠4 = 25°. YZ is the angle bisector of ∠s.
m∠2 = 40° the reason is YZ is the angle bisector of ∠s
∠s = m∠2 + m∠3
m∠2 = m∠3
therefore m∠2 = 40°
m∠1 + m∠2 + m∠3 + m∠4 = 180° the reason is XYQ is the straight line.
substitution of all values
m∠1 + 40° + 25° + 40° = 180°
m∠1 + 105° = 180°
m∠1 = 75° (straight line, substitution of all values )
To know more about bisector click the link:
brainly.com/question/28663444
#SPJ1
