each piece of the ribbon will be 3/5 of a yard long.
How to solve and what is fraction?
To answer the question of what fraction of a yard each piece will be, we can divide the total length of the ribbon by the number of pieces and express the result as a fraction:
Length of each piece = (Total length of ribbon) ÷ (Number of pieces)
In this case, the total length of the ribbon is 3 yards and the number of pieces is 5, so:
Length of each piece = 3 ÷ 5
Simplifying this fraction, we get:
Length of each piece = 3/5
Therefore, each piece of the ribbon will be 3/5 of a yard long.
In mathematics, a fraction is a number that represents a part of a whole. It is expressed as two numbers separated by a line or slash, with the number above the line (numerator) representing the part and the number below the line (denominator) representing the whole. For example, 1/2 represents one part out of two equal parts that make up a whole.
Fractions can be used to represent numbers that are not whole numbers, including fractions less than one and mixed numbers.
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Evaluate 3x2 + 3x - 9, when x = 2
Answer:
9
Step-by-step explanation:
3x^2 + 3x - 9
Substitute x = 2 into the equation.
3(2)^2 + 3(2) - 9
3(4) + 6 - 9
12 + 6 - 9
18 - 9 =
9
Write an equation for the line parallel to the y-axis through the point (5,0)
The y-axis is a vertical line. All the parallel lines to the y-axis will be vertical lines with the following form
\(\begin{gathered} x=b \\ b\in\mathfrak{\Re } \end{gathered}\)A vertical line has the same value of x for every point. Since it passes through (5, 0), the line is
\(x=5\)Quadrilateral ABCD is inscribed in this circle. What is the measure of angle C?
Answer:
\(\boxed{\bf \angle \: C = 62^{o} }\)
Step-by-step explanation:
The sum of the opposite angle of cyclic quadrilateral is 180°.
First, lets find x...
\(\bf \angle \: B + \angle \: D = {180}^{o} \)\(\bf (x + 20) + 3x = {180}^{o} \)\(\bf 4x + 20 = 180\)\(\bf 4x = 180 - 20\)\(\boxed{\bf x = {40}^{o}} \)Now, let's find the measure of angle C....
\(\bf \angle \: a + \angle \: C = {180}^{o} \)\(\bf 2x + 38 + \angle \: C = {180}^{o} \)\(\bf 2(40) + 38 + \angle \: C = {180}^{o} \)\(\bf \angle \: C = 180 - 80 - 38\)\(\boxed{\bf \angle \: C = {62}^{o}}\)________________________
1/3 + a =5/4
what does a equal
Answer:
the answer to this is a = 11/12
Step-by-step explanation:
Which graph represents the function f(x)=5lnx?
Answer:
The first graph (top-left) is the correct graph.
Please, also check the attached graph.
Step-by-step explanation:
Given the function
\(f\left(x\right)=5\:lnx\)
First, we should determine the x and y-intercepts.
Determining the y-intercept:
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
Thus,
substitute x = 0 in the function
y = lnx
y = ln(0)
y = undefined
Therefore, at x = 0, the value of y becomes undefined.
Hence, None is the y-intercept.
Determining the x-intercept:
We know that the value of the x-intercept can be determined by setting y = 0 and determining the corresponding value of x.
Thus,
substitute y = 0 in the function
0 = ln(x)
Flipe the equation
ln(x) = 0
Solve algorithm
ln(x) = 0
Take exponent of both sides
\(\:e^{ln\left(x\right)}=e^0\)
\(x\:=e^0\)
\(x = 1\)
Thus, the point of x-intercept is: (0, 1)
Conclusion:
Now, if we carefully check the graph options, we can easily figure out that the first graph (top-left) correctly displays the x and y-intercepts.
It is clear from the graph that:
at x = 0, y is heading towards -ve infinity.
at y = 0, x = 1
Therefore, the first graph (top-left) is the correct graph.
Please, also check the attached graph.
Please help I’m stuck and keep getting the wrong answer
The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42
A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.
The six o'clock position on the Ferris wheel is level with the loading platform.
The wheel completes 1 full revolution in 2 minutes.
We have to find how many minutes of the ride are spent higher than 26 meters above the ground.
So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters
So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)
Also, the height of a person at the lowest point = 4 - 15 = -11 meters
Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.
So, the total distance travelled will be = 19 + 11 = 30 meters.
Also, we are given that the wheel completes 1 full revolution in 2 minutes.
We need to calculate the time spent higher than 26 meters above the ground.
So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.
This angle can be calculated as follows:
Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees
Angle = 30 / (pi * 30) * 360 degrees
Angle = 360 degrees / pi
= 114.59 degrees
So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.
Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.
This can be calculated as follows:
Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken
Time = (180 - 114.59) / 360 * 2 minutes
Time = 0.42 minutes
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Elissa earns $8.55 per hour working at the Salem Animal Shelter. The amount she earns in t hours is given by the expression $8.55t. Determine Elissa's pay if she works 23 hours.
Answer:
196.65
Step-by-step explanation:
8.55*23=196.65
Answer:
196.65
Step-by-step explanation:
8x23=184
0.5x23=11.5
0.05x23=1.15
184+11.5+1.15=196.65
If
R
=
{
x
|
x
>
0
}
and
S
=
{
x
|
x
<
3
}
, what is the number of integers in
R
∩
S
?
A. Zero
B. Two
C. Three
D. Four
As per the given data, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.
In mathematics, the intersection of two sets is a set containing all elements that are members of both sets.
In symbols, the intersection of two sets A and B is denoted by A ∩ B, and it contains all elements that belong to both A and B.
The intersection of two sets contains only the elements that are present in both sets. In this case,
R ∩ S = {x | x > 0 and x < 3}
The integers that are present in this set are 1 and 2.
Therefore, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.
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If the area of a square inscribed in a circle is
25, what is the area of the circle?
The area of a square inscribed in a circle is 25, then the area of the circle is 25π/2 or approximately 39.27 square units.
To solve this problem, we can use the relationship between the area of a square inscribed in a circle and the area of the circle itself.
When a square is inscribed in a circle, the diagonal of the square is equal to the diameter of the circle. Let's assume that the side length of the square is 's' and the radius of the circle is 'r'.
We are given that the area of the square is 25, so we can find the side length of the square:
Area of square = \(s^2 = 25\)
Taking the square root of both sides, we get:
s = √25 = 5
Since the diagonal of the square is equal to the diameter of the circle, we can find the diameter of the circle:
Diagonal = Diameter = s√2 = 5√2
The radius of the circle is half the diameter, so:
Radius = 5√2 / 2 = (5√2)/2
Now, we can calculate the area of the circle using the formula:
Area of circle = \(\pi r^2\)
Substituting the value of the radius, we get:
Area of circle = π((5√2)/\(2)^2\) = π(25/2) = 25π/2
Therefore, the area of the circle is 25π/2 or approximately 39.27 square units.
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Rectangle ABCD has coordinates A(−10, 5), B(10, 5) , C(10, 0), and D(−10, 0). Rectangle A′B′C′D′ has coordinates A′(−2, 1), B′(2, 1), C′(2, 0) , and D′(−2, 0) . Which transformation describe why rectangles ABCD and A′B′C′D′ are similar? Responses Rectangle ABCD was reflected across the y-axis to form rectangle A′B′C′D′. , Rectangle , A B C D, , , was reflected across the y -axis to form rectangle, , , A prime B prime C prime D prime, . , Rectangle ABCD was dilated by a scale factor of 5 to form rectangle A′B′C′D′. , Rectangle , A B C D, , , was dilated by a scale factor of 5 to form rectangle, , , A prime B prime C prime D prime, . Rectangle ABCD was dilated by a scale factor of 15 to form rectangle A′B′C′D′ . , Rectangle , A B C D, , , , was dilated by a scale factor of , , 1 over 5, , to form rectangle, , A prime B prime C prime D prime, , . Rectangle ABCD was rotated 90° counterclockwise to form rectangle A′B′C′D′.
The correct transformation that describes why rectangles ABCD and A′B′C′D′ are similar is Rectangle ABCD was dilated by a scale factor of 5 to form rectangle A′B′C′D′.
Dilation is a transformation that changes the size of an object while maintaining its shape. In this case, the coordinates of rectangle ABCD were multiplied by a scale factor of 5 to obtain the coordinates of rectangle A′B′C′D′.
This means that each side length of rectangle ABCD was multiplied by 5 to get the corresponding side length of rectangle A′B′C′D′.
The reflection across the y-axis and the rotation of 90° counterclockwise would result in different shapes and orientations, not maintaining the similarity between the two rectangles.
The dilation by a scale factor of 15 or 1/5 would also change the proportions and not result in a similar rectangle.
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What is the distance between the coordinates (5, 5) and (7, 2)? Round your
answer to the nearest tenth.
Answer: 3.6
Step-by-step explanation:
To find the distance, find the difference in the x and y coordinates then square them to add them and find the square root of that number you get after you added it.
x coordinate: 5 - 7 = -2
y coordinate: 5-2 = 3
2^2 + 3^2 = c^2 where c is the length
4 + 9 = c^2
13 =c^2
c = \(\sqrt{13}\)
c= 3.605 rounded to the nearest tenth is 3.6
the temperature is -7F and drops 15F what is the temperature now
Answer:
I'm really not sure but I think it would be -22F
Step-by-step explanation:
negative 7 minus 15 is negative 22
Find the slope of a line perpendicular to the line containing the points (12,-8) and (5,-4).
Finding the slop[e perpendicular to the line containing
What is Perpendicular line ?
Two geometric objects are perpendicular in simple geometry if they intersect at a right angle. The perpendicular symbol,, can be used to graphically depict the condition of perpendicularity. It can be defined between two planes, two lines, or two planes and another line.
The slope of perpendicular lines is the same. In slope-intercept form, the equation of a line can be expressed as follows:
Y is equal to m * (x + b) where m is the line's slope and b is its y-intercept.
You would subtract the y coordinates and divide by the difference of the x coordinates to obtain the slope, m, of a line given two locations.
The slope, m, for this problem will be as follows using the points:
y2 - y1 / x2 - x1 = -4 - (-8) / 5 - 12
= 4 / -7
= - 4/7
Any perpendicular line to the line drawn across the specified locations will also have a slope of -4/7.
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Use the hundredth grids to answer the question.
Which equation is shown by the model?
See picture below
Based on the information we can infer that the equation shown in the image is 1.23 - 0.35 = 0.88 (option B).
How to identify the correct equation?To identify the correct equation we must look at the graph and identify the information it provides. In this case we have two squares divided into 100 squares each. Additionally, the square on the left has 88 squares painted in red and 12 squares with an X inside. In the case of the square on the right, it has 23 squares colored in red with an X inside.
In total we have 123 squares painted in red, which in decimal number is equivalent to 1.23. On the other hand, the number of squares painted red and with an X inside is 35, this value would be 0.35.
On the other hand, the squares painted only in red are 88, so the equivalent in decimal numbers would be 0.88. Therefore, the correct way to express this relationship through an equation would be:
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The outside temperature decreases by 7 degrees in 3 1/2 hours. How would you represent the temperature change as a unit rate?
In each hour the outside temperature decreases by 2°C/hr.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given the outside temperature decreases by 7 degrees in 3 1/2 or 7/2 hours.
The representation for the change in temperature as a unit rate will be.
= 7/(7/2) degrees.
= 7×2/7 degrees.
= 2 degrees.
So, The representation of the temperature change as a unit rate will be 2°C/hr.
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Please help me with this I will mark brainliest
Answer:
Step-by-step explanation:
1 similar
2 not similar
3 similar
4 similar
5 not similar.
6 not similar
Pie chart values
20%. Rice
15%. Others
Pulses. 30%
maize 20%
wheat 15%
Percentage distribution of products in exports of the
given countries.
(a) What is the value (in $ billion) of pulses export
by US? on a billion
(6)
What is the ratio of wheat export of UK to
maize export of IND? 4:10
(e) By what percentage is the maize export of
JAP more than the rice export of AUS?
(d) If the export of AUS is doubled and that of US is
halved but percentage distribution of products of
export remains the same, then find the value of
Export of Rice by US
Export of Pulses by AUS
In USSR, find the ratio of maize export to the
rice export.
a.) The value of pulses exported by US in billion would be=30 billion.
b.) The ratio of wheat export of UK to maize export of IND would be= 6:5
How to calculate the value of pulses exported?For question a.)
To calculate the pulses, the following steps should be taken as follows:
From the bar chart, the value of pulses in billions = 30 billions.
For question b.)
The ratio of wheat export at UK and maize export at IND would be calculated as follows:
The quantity of wheat export at UK = 24
The quantity of maize export at IND = 20
Therefore, the ratio of wheat to maize = 24:20= 6:5
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awnser asap and be correct, there ate two parts
The way to compare the value of the exponent is
C. Write each power as repeated multiplication. Then, evaluate and compare their values.
What is an exponent?The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number
Based on the information given, it should be noted that the numbers given are 7² and 2^7.
7² = 7 × 7 = 49
2^7 = 2 × 2 × 2 × 2 × 2 × 2 × 2 = 128
Therefore, 2^7 is more than 7² after evaluation.
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Kiera earns $3 for each tree she trims. She trims 10 trees each hour, 3 hours a day. After trimming trees for 16 days, how much money will Kiera have earned?
Answer:
$480
Step-by-step explanation:
For every tree, she earns $1
multiply tree cost, per trees done in one (1) hour
1 * 10 = 10
Kiera earns $10 every hour
multiply the hourly rate, per hours (worked) per day
10 * 3 = 30
$30 per day
multiply days worked, by the amount (of $) per day
30 * 16 = 480
$480 for 16 days of work
hope this helps:)
Someone help me with this I’m lost
By inspecting the circle equations in standard form, the center and the radius for each case are, respectively:
Case A: Center: (7, - 10), Radius: 9
Case B: Center: (- 3, 0), Radius: 10
Case C: Center: (9, - 2), Radius: 1
Case D: Center: (- 8, - 7), Radius: 6
Case E: Center: (0, 1), Radius: 2
Case F: Center: (1, 11), Radius: 3
How to determine the center and the radius of a circle
In this question we find six cases of circle equations in standard form, whose definition is introduced below:
(x - h)² + (y - k)² = r²
Where:
h, k - Coordinates of the vertex.r - RadiusThen, we get the following results by direct inspection:
Case A
(x - 7)² + (y + 10)² = 81, Center: (7, - 10), Radius: 9
Case B
(x + 3)² + y² = 100, Center: (- 3, 0), Radius: 10
Case C
(x - 9)² + (y + 2)² = 1, Center: (9, - 2), Radius: 1
Case D
(x + 8)² + (y + 7)² = 36, Center: (- 8, - 7), Radius: 6
Case E
x² + (y - 1)² = 4, Center: (0, 1), Radius: 2
Case F
(x - 1)² + (y - 11)² = 9, Center: (1, 11), Radius: 3
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What is the ratio of 60:48
Answer:
5:4
Step-by-step explanation:
60/48
=> Dividing numerator and denominator by 12,
=> 5/4 = 5:4
Answer:
\(\pmb{\sf{5:4 }}\)Step-by-step explanation:
The ratio of 60:48
\({\sf{\dfrac{60}{48} }}\)\({\sf{\dfrac{10}{8} }}\)\({\sf{\dfrac{5}{4}}}\)\({\sf{5:4 }}\)Find the area of the triangle.
7 yd
24 yd
The area is
square yards.
Answer:
84 yd^2
Step-by-step explanation:
Answer:
½ × 7yd × 24yd = 84yd² <<<<< the answer
Geraldine is picking a four-digit password by using the digits 0 through 9. She can use each digit only once. How many different passwords are possible? 34 40 5,040 10,000
Answer:
5040 different combinations
Step-by-step explanation:
0-9 = 10 numbers
1st digit can be 1 0f 10
2nd digit can be 1 of 9
3rd digit can be 1 of 8
4th digit can be 1 of 7
10×9×8×7=5040
Two thousand,
seven hundred and three units
What are units??
\(Question\)
What are units??
Two thousand,
seven hundred and three units
Answer:
Hi, there! ♚♛♕♔
Units are a type of measurement.
Units can refer to cm, mi, km, m, or any other type of measurement.
Think of units as a "unit" or one of something.
Hope this helps and please consider marking branliest.
3
Hope made 3 different yo-yos. She used 1 meters of string for the first yo-yo, 1 meter of string
4
1
for the second yo-yo, and a total of 4 meters of string.
433
Hope uses the equation, 13+1+y=4
= 4 to represent the situation.
3
What does the variable y represent in the equation?
The equation with the y variable becomes 7/4+1+y = 13/3.
According to the statement
we have to find that the mathematical equation which represent the given statement.
So, for this purpose, we know that the
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Then
We have been given that Hope made 3 different yo-yos. She used 7/4 meters of string for the first yo-yo, 1 meter of string for the second yo-yo, and a total of 13/3 meters of string.
The equation 7/4+1+y = 13/3 represents the total amount of used string to make 3 yo-yo.
As Hope made 3 yo-yo and 7/4 represents string used for 1st yo-yo and 1 represents the string used for 2nd yo-yo. 13/3 represents total amount of string used to make 3 y-yo, therefore, y represents the amount of string used to make the 3rd yo-yo.
So, The equation with the y variable becomes 7/4+1+y = 13/3.
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+
MONDAY
Use numbers 0-9 so that each problem
has the same sum.
1 7 1
+
17 1
Answer: See below
Step-by-step explanation:
To solve this problem, we need to assign each digit from 0 to 9 to a unique letter so that each letter represents a single digit. We can then use this mapping to solve the addition problem:
Let's assign the letters A, B, C, D, E, F, G, H, I, and J to the digits 0 to 9, respectively.
Then, the addition problem becomes:
A B C
D E F
We know that the sum of each column must be the same, so:
C + F = 10 + B
B + E = 10 + A
We can rewrite these equations as:
C - B + F = 10
B - A + E = 10
Since we are given that the sum of the two numbers is the same, we know that:
C + F + D + E = 1112
We can substitute C and F in terms of A and B using the equations above:
C = 10 + B - F
F = 10 + C - B
Substituting these expressions into the equation for the sum, we get:
10 + B - F + C + D + E = 1112
Simplifying this equation, we get:
B - F + C + D + E = 1102
Now we can substitute in the expressions for C and F in terms of A and B:
B - (10 + B - F) + (10 + C - B) + D + E = 1102
Simplifying and canceling out terms, we get:
F - C - D - E = -92
We know that each digit is unique, so we can assume that A is not equal to 0 (otherwise the number would not have 4 digits). We can also assume that D is not equal to 0, since it is the leftmost digit of the second number.
Trying different values for A and D, we find that A = 2 and D = 3 works:
A B C
D E F
2 7 9
1 7 3
The sum of each column is 3 + 7 + 2 = 1 + 9 + 7, which is equal to 12. Therefore, the solution is:
2 7 9
1 7 3
4 5 2
Find the product. 8 4²/7 × ₁5 15
Answer: 519 120
Step-by-step explanation:
84*84=7056
7056/7=1008
1008*515=519 120
Given F(x) = 7(1 - x), what is the value of F(-8) ?
Please help
Answer:
63
Step-by-step explanation:
=7(1-(-8))
=7(9)
=63
hope this helps
Answer: 63
Step-by-step explanation:
7(1- -8)
7(1+8)
7(9)
63
Data was collected on salaries of compliance specialists in corporate accounting firms. The salaries ranged from $58,000 to $238,000
If these values are grouped into six class intervals, indicate the class boundaries.
What class interval width was chosen?
What are the six class midpoints?
The class boundaries are:
1 58000 but less than 88,000
2 88,000 but less than 118,000
3 118,000 but less than 148,000
4 148,000 but less than 178,000
5 178,000 but less than 208,000
6 208,000 but less than 238,000
The class interval width for the distribution that we have here is given as $30000.
The six midpoints and the class boundaries are:
73000103,000133,000163000193000223000How to solve for the class boundary238,000 - 58,000= 180000
180000 / 6 = 30000
Class Boundaries1 58000 but less than 88,000
2 88,000 but less than 118,000
3 118,000 but less than 148,000
4 148,000 but less than 178,000
5 178,000 but less than 208,000
6 208,000 but less than 238,000
What is the class interval width?238,000 - 58,000= 180000
180000 / 6 = 30000
width = 30000
The six class midpoints58000 + 88000 / 2 = 7300088000 + 118000 / 2 = 103,000118000 + 148000 / 2 = 133,000148000 + 178000 / 2 = 163000178000 + 208000 / 2 = 193000208000 + 238000 / 2 = 223000Read more on class intervals here;
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John spent 15 minutes developing an estimate for a job. The job itself took 2 hours, 30 minutes to complete. What is the ratio of the time
spent on the job estimate to the total time spent on this job? Submit answer as #:# or fraction.
Answer: The ratio of the time spent on the job estimate to the total time spent on this job is 1/10. Alternatively, it can also be represented as 1:10
Step-by-step explanation:
To find the ratio of the time spent on the job estimate to the total time spent on the job, we need to divide the time spent on the estimate by the total time spent on the job, and then express the result as a fraction.
First, we need to convert both times to minutes.
15 minutes for the job estimate
2 hours = 2*60 = 120 minutes
30 minutes
Total time spent on the job = 120 + 30 = 150 minutes
Now we can divide the time spent on the estimate by the total time spent on the job:
15 minutes / 150 minutes = 1/10
So the ratio of the time spent on the job estimate to the total time spent on this job is 1/10. Alternatively, it can also be represented as 1:10