In the counting of numbers from 2 to 99, the digit 9 appears 20 times.
Listing the Numbers
To identify how many times the digit 9 appears, we can first list the numbers we know have a 9 in them:
9, 19, 29, 39, 49, 59, 69, 79, 89, 99
Although we've identified these numbers, we are not finished. Numbers in the 90s also qualify as digits of 9. Therefore, these numbers also are included:
91, 92, 93, 94, 95, 96, 97, 98
Answer RecapNow that we have all the numbers from 1 to 99 with the digit 9 in them, we can count up how many numbers there are with consideration that the number 99 also has two digits of 9 in it:
[(10 + 8) + 2] = 20
Hence, the digit 9 appears 20 times in the counting numbers from 1 to 99.
Answer:
There are 20 times the digit 9 appears in counting numbers from 1 to 99.
Step-by-step explanation:
To see why this is the case, we can break the counting numbers down into two categories: numbers with a 9 in the units place and numbers without a 9 in the units place.
For the first category, we can count the number of times a 9 appears in the units place by counting from 9 to 99 in increments of 10. There are 10 numbers in this category.
For the second category, we can count the number of times a 9 appears in the tens place by counting from 19 to 99 in increments of 100. There are 10 numbers in this category as well.
Therefore, the total number of times the digit 9 appears in counting numbers from 1 to 99 is 20 times.
Work out the perimeter of the shaded shape. 7m 4m 1m 4m 14m
The parameter of the shaded shape is 50 meters
The parameter of any shape is sum of all sides
Measurements of some of the sides are given and some needs to be find out so the calculations are -
first side = 7m
second side = 14m
third side is equal to first side so= 7m,
fourth side = 1m
fifth side is equal to seventh side =4m
sixth side is second side- fourth side- eighth side = 14- 1-4= 9m
seventh side=4m
eighth side =4m
parameter of the shape = sum of all side = 7+ 14+ 7+ 1+4+9+4+4
=50 m
So, the parameter of the shaded shape is 50 meters
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write an equation of a line passing through the point (-1,3) and parallel to AB with A(3,-5) and B (-2,15)
Answer:
y = -4x - 1
Step-by-step explanation:
Let's first find the equation of the line segment AB. The equation of a line in slope-intercept form is y = mx + b where m represents the slope and b represents the y-intercept. Start by finding the slope.
Finding the Slope of ABThe equation for slope is: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. These variables represent any pair of coordinates on the line. In this case since the two points chosen are A and B, thus:
[tex]x_2=-2\\x_1=3\\y_2=15\\y_1=-5[/tex]
If we plug these values into the equation, we get:
[tex]\frac{15-(-5)}{-2-3}=\frac{20}{-5}=-4[/tex]
Now we need to find the equation of a line that passes through the point (-1, 3) and is parallel to AB. If two lines are parallel they share the same slope. The equation of the line parallel to AB is y = -4x + b. We can plug in the coordinate (-1, 3) into the equation to solve for b.
Solving for the y-intercept[tex]y = mx+b\\3 = -4(-1) +b\\3=4+b\\\text{Subtract 4 from both sides}\\b=-1[/tex]
Therefore the equation of the line that passes through the point (-1, 3) and is parallel to AB is y = -4x - 1.
What is the amount of the current ratio?
Answer:4.98
Step-by-step explanation:
trust me
6.62 inches is more than 6.4 inches ?
I’m so confused can someone help me pls
Answer:
In so confused to here's a picture that might help a little bit
Cant solve this problem
a) The graph will have a "V" shape, which opens upwards.
b) The horizontal shift of 1 unit to the left.
c) The vertical shift is of 5 units downwards.
How to describe the graph of the absolute value function?
Here we have the absolute value function:
f(x) = |x + 1| - 5
First we want to describe the graph shape, we know that it is an absolute value function, so it will have a "V" shape.
The arms will make an angle of 45° with the vertical and horizontal (because the slope is 1)
And it will open upwards, because the slope is positive.
Now, remember that if the parent function is:
f(x).
A translation is written as:
g(x) = f(x + a) + b
Where a is the horizontal translation and b is the vertical translation, such that:
a < 0, translation to the right.a > 0, translation to the left.b > 0 translation up.b < 0 translation down.In this case we have:
f(x) = |x + 1| - 5
So this is a translation of 1 unit to the left and 5 units down of the parent absolute value function.
b) The horizontal shift of 1 unit to the left.
c) The vertical shift is of 5 units downwards.
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the ratio of red cars to blue cars in a parking lot was 5:3. If there was 40 red cars how many blue cars were there?
The ratio of red cars to blue cars in a parking lot was 5:3, total blue cars are 24.
What is ratio?A ratio in mathematics shows how many times one number is included in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the overall amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8.
Given, the ratio is 5:3.
Total red cars = 40
⇒ 5x = 40
⇒ x = 8
Blue cars = 8 × 3
= 24
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A gardener makes a new circular flower bed. The bed is twelve feet in diameter. Calculate the circumference and the area of the
circular flower bed.
A. circumference = 12 feet, area = 12 square feet
B. circumference = 6 feet, area = 36:
square feet
C. circumference = 12
feet, area = 144 square feet
D. circumference = 12 feet, area = 36 square feet
Answer:
Step-by-step explanation: I think the answer would be B or D they seem the most logical
please help I cannot find the answer
Answer:
1.55 lbs
Step-by-step explanation:
take 6 ⅕ and divide it by 4 since there are 4 bags, you can also turn it into a decimal (6.2)
Answer:
1.55lbs of cat food in each bag
Step-by-step explanation:
question 1) simply divide the total amount of cat food by the number of bags it is placed in.
6 1/5lb divided by 4
[tex]6 \frac{1}{5} \div 4[/tex]
when dividing fractions, the divisor is flipped over and the sign changes to multiplication.
[tex]6 \frac{1}{5} \times \frac{1}{4} [/tex]
[tex] \frac{31}{5} \times \frac{1}{4} [/tex]
therefore=
[tex] \frac{31}{20} [/tex]
or as a decimal 1.55lbs
There is a line whose Y intercept is -5 and whose slope is 0. What is its equation in slope – intercept form?
Slope-intercept form looks like this: [tex]y=mx+b[/tex]
m = slopeb = y-interceptSolving the Question
We're given:
m = 0b = -5Plug the given values into y=mx+b:
[tex]y=0x-5\\y=-5[/tex]
Answer[tex]y=-5[/tex]
Let s(t)=[tex]\sqrt{x+16}[/tex] be the position function. Use the Definition to find the velocity at t=0.
The velocity at t = 0 will be 4 meters per second.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
Given function is s(t) = √ ( t + 16 ).
The value of the function is calculated as below:-
s ( t ) = √ ( t + 16 ).
s( 0 ) = √ ( 0 + 16 ).
s( 0 ) = √ ( 16 ).
s( 0 ) = 4
Therefore, the velocity at t = 0 will be 4 meters per second.
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A radio station requires DJ’s to play 3 commercials for every 15 songs they play. What is the unit rate of songs to commercials?
A division is a process of splitting a specific amount into equal parts. If a radio station requires DJ’s to play 3 commercials for every 15 songs they play. Then 5 is the unit rate of songs to commercials
What is Division?A division is a process of splitting a specific amount into equal parts.
A radio station requires DJ’s to play 3 commercials for every 15 songs they play.We use division because it is a process of splitting a specific amount into equal parts.
By the given data formulate
15 divided 3
15/3
=5
We get the result 5.
Therefore the unit rate of songs to commercials is 5.
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sergio was shopping for online stocks in nvidia. he purchased 2,000 shares at 4 dollars each. if sergio plans for the stockts to triple in value by the end of next year what will his shares be worth in total?
The total worth of shares that he has is 24000$
To calculate earnings per share, take a company's net income and deduct preferred dividends from it. Divide the total by the average number of outstanding common shares.
Given Sergio purchased 2000 shares at four dollars each
the cost price of shares is 4$ each
Therefore total shares worth he has = 2000 * 4
= 8000 $
He now expects the stock to triple in value by the end of next year.
total amount of shares he owns = 8000 * 3
= 24000$
Therefore, the total amount of shares he owns is 24000$
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write 25:4 and 45:10 as a complex fraction
The required answer for 25:4 and 45:10 as a complex fraction is 1/(4/25) and 1/(2/9).
What is a fraction?Fractions represent the parts of a whole or collection of objects.
A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.
Now given ratio are,
25:4 and 45:10
Now converting the given ratio into fraction,
25:4 = 25/4
and,
45:10 = 45/10
Now for 25/4 we have,
Numerator = 25
Denominator = 4
Now dividing numerator and denominator by 25 we get,
Numerator = 25/25 = 1
Denominator = 4/25
Thus, the complex fraction of 25/4 we get is,
25/4 = 1/(4/25)
Similarly for 45/10
Numerator = 45
Denominator = 10
Now dividing numerator and denominator by 45 we get,
Numerator = 45/45 = 1
Denominator = 10/45 = 2/9
Thus, the complex fraction of 25/4 we get is,
45/10 = 1/(2/9)
Thus, the required answer for 25:4 and 45:10 as a complex fraction is 1/(4/25) and 1/(2/9)
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Find the average rate of change of Find the average rate of change of
g
(
x
)
=
5
x
3
+
2
from
x
=
−
1
to
x
=
3
Answer:
eldinosauriocomera3.5kilos de carne :)
Step-by-step explanation:
Three 6" x 6" and two 8" x 8" electrical boxes are installed in a wall between two studs. There are _ square inches of wall area taken up by the boxes.
Answer: 236 square inches
Step-by-step explanation:
Three 6" x 6" and two 8" x 8" electrical boxes are installed in a wall between two studs
The answer is 236
Find the range of f(x)=4x+2 for the domain {–2, –1, 1, 4}. Your answer:
The range of the function, f(x)=4x+2 for the domain {–2, –1, 1, 4} includes (-6, -2, 6, 18).
What is the range of a function?The range of the function, f(x)=4x+2, includes all the possible output values of the function.
What is the domain of a function?The domain of a function, f(x)=4x+2, is the set of all possible input values (domain {–2, –1, 1, 4}) of the function.
Remember that a function is a mathematical expression that equates an independent variable with a dependent variable.
Data and Calculations:f(x)=4x+2
Domain = {–2, –1, 1, 4}
The range for -2:
f(x)=4x+2 = 4(–2) + 2 = -6
Range for -1:
f(x)=4x+2 = 4(–1) + 2 = -2
Range for 1:
f(x)=4x+2 = 4(1) + 2 = 6
The range for 4:
f(x)=4x+2 = 4(4) + 2 = 18
Thus, the range of the function, f(x)=4x+2 for the domain {–2, –1, 1, 4} includes (-6, -2, 6, 18).
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what unit should i use for this bar graph?
Answer: x (Subject), y (Number of books)
Step-by-step explanation: When using numbers in a bar graph, it is displayed on the Y-axis as its easily interpreted.
Answer:
In your bar graph, use one the bottom place written subjects, and the right side for Number of books.
Step-by-step explanation:
Here is where l
you write l
the numbers l
and ''number l
of books'' l the middle is now where you draw
l
l
l
_____________________
subjects are written bellow
Dot arranges flowers into vases of roses and daisies. If there are 100 roses and 60 daises. what is the greatest number number of flowers in each group?
The greatest number of flowers in each group is 20.
What is the greatest number number of flowers in each group?In order to determine the greatest number number of flowers in each group, the highest common factor of 100 roses and 60 daises have to be determined.
The factor of a number is a number that divides a number perfectly into whole numbers. The highest common factor is the highest factor that is common to two or more numbers
Factors of 100 = 1, 2, 4, 5, 10, 20, 25, 50 and 100.
Factors of 60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60.
Common factors of 100 and 60 - 1, 2, 5, 10, 20
Highest common factor = 20
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THERE ARE NO RETAKES SO TAKE YOUR TIME
John works at an ice cream shop. His hours worked and wages earned are given in the table below:
Answer:
9t
Step-by-step explanation:
18÷2=9<-
27÷3=9<-
36÷4=9<-
The subtraction problem 4/5 - 2/7 can be rewritten as the addition problem _[blank].
Enter your answer as the expression that correctly fills in the blank.
Enter fractions formatted like this: 3/14
It can be written as 13/35.
how do we rewrite a fraction.
Divide the numerator by the denominator
Write down the whole number result
Use the remainder as the new numerator over the denominator. This is the fraction part of the mixed number.
A number that will divide evenly into both the numerator and denominator so it can be reduced, or
The numerator must be greater than the denominator, (an improper fraction), so it can be converted to a mixed number
4/5-3/7
⇒4×7-3×5/ 35 ( 5 and 7 have no common divisor).
⇒ 28- 15/35
⇒13/35
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I received help on this and we got the answer 4. Unfortunately, it’s telling me 4 is wrong yet we can’t find an issue with her work. Please help!
Answer:
There is actually no solution for X
So the correct answer is B
Written ratio of 5 flamingos to 3 pineapples
The written ratio of 5 flamingos to 3 pineapples is 5 : 3.
What is the ratio?Ratio is used to compare the relative value of two or more numbers. Ratio determines how many times one value is contained in another value. Ratio is used to determine how big or how small a quantity is relative to other quantities. The sign used to represent ratio is :.
This question states that for every 5 flamingos, there are 3 pineapples. This means the number of flamingos is 5/3 more than the number of pineapples.
To express the question as a ratio, this format would be used -
Number of flamingos : number of pineapples
5 : 3
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an elevation
elevation of 20.5 m
of 15 m and an
The angle of elevation made from the eyes of the observer to the top of the tower is 45°.
What is defined as the term angle of elevation?The angle of elevation is the angle formed by the horizontal line of sight and the upward line of sight.
For the given question;
The height of the observer is 1.5 meters.The height of the tower is given as 22 meters.The distance of the tower from the observer is 20.5 meter.The angle of elevation of the top of the tower to the eyes of the observer is needed.
Thus, for this subtract the height of the observer to the height of tower;
height from the eyes to the tower is 22 - 1.5 = 20.5 m.
Thus, apply the trigonometric rule to calculate the angle;
tan Ф = perpendicular/base
perpendicular is the height of tower from the eyes of boy = 20.5 meter.
base is the distance of the tower from the boy = 20.5 meter.
Put the values;
tan Ф = 20.5/20.5
tan Ф = 1
Ф = 45°.
Thus, the angle of elevation made by the eyes of the observer to the top of the tower is 45°.
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The complete question is -
An observer 1.5 metres tall is 20.5 metres away from a tower 22 metres high. Determine the angle of elevation of the top of the tower from the eye of the observer.
If m/DKL = (21x + 5)°, m/JKD = (4x + 2)°,and m/JKL = 132º, find
MZDKL
Finding the missing angle of the figure, the value of m∠DKL is 110°
Describe angle.Two rays that have a common endpoint and are referred to as the angle's sides and vertices, respectively, form an angle. Two rays can form angles in the plane where they are positioned. Angles are also produced when two planes intersect. These angles are dihedral.
given,
m∠DKL = (21x + 5)°
m∠JKD = (4x + 2)°
and
m∠JKL = 132°
By angle sum property of angles
m∠DKL + m∠JKD = m∠JKL
substituting the values, we get
(21x + 5)° + (4x + 2)° equals 132°
(21x + 4x + 5 + 2)° = 132°
(25x + 7)°= 132°
(25x)° = 132° - 7°
x = 125° / 25°
x = 5
now, the value of m∠DKL
m∠DKL = [21 (5) + 5]°
m∠DKL = 105° + 5°
m∠DKL = 110°
Hence the value of m∠DKL is 110°
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Union and Intersection of sets
[tex] \\ \\ [/tex]
A. Indicate whether the statement is true or false.
1.) Union of two sets is the set that consists all the elements belonging either A or to B, or to both.
2.) If A = {2, 3, 4} and B = {3, 4, 5, 6} then A ∪ B = {1, 2, 3, 4, 5, 6}
3.) If M = {a, e, i, o, u} and N = {l, o, v, e} then M ∩ N = {o, e}
Answer:
Step-by-step explanation:
1.true
2.true
3.true
Answer:
1) True
2) False
3) True
Step-by-step explanation:
Set Notation
[tex]\begin{array}{|c|c|l|} \cline{1-3} \sf Symbol & \sf N\:\!ame & \sf Meaning \\\cline{1-3} \{ \: \} & \sf Set & \sf A\:collection\:of\:elements\\\cline{1-3} \cup & \sf Union & \sf A \cup B=elements\:in\:A\:or\:B\:(or\:both)}\\\cline{1-3} \cap & \sf Intersection & \sf A \cap B=elements\: in \:both\: A \:and \:B} \\\cline{1-3} \sf ' \:or\: ^c & \sf Complement & \sf A'=elements\: not\: in\: A \\\cline{1-3} \sf - & \sf Difference & \sf A-B=elements \:in \:A \:but\: not\: in \:B}\\\cline{1-3} \end{array}[/tex]
Question 1
The union of two sets is denoted by the symbol ∪.
The union of two sets is the set that comprises all elements in A or B or both.
Question 2
Given sets:
A = {2, 3, 4}B = {3, 4, 5, 6}[tex]\begin{aligned} \implies \sf A \cup B & =\sf \{ 2, 3, 4\} \cup \{3, 4, 5, 6 \}\\& =\sf \{ 2, 3, 4, 5, 6\}\end{aligned}[/tex]
Question 3
Given sets:
M = {a, e, i, o, u}N = {l, o, v, e}[tex]\begin{aligned}\implies \sf M \cap N & =\sf \{ a, e, i, o, u\} \cap \{l, o, v, e \}\\& =\sf \{ o, e\}\end{aligned}[/tex]
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Which best describes slope?
*
A. A comparison of the change in y-values to the change in x-values
B. The measured slant or steepness of a line
C. "Rise over run"
D. All of the above
(6x-20)° + (6x-4)=180
Answer: The answer is 17
Step-by-step explanation:
First of you combine both 6x to get 12x and then you add the negatives to negative 24. you add 24 to the 180 and get 204 to isolate x. then you divide 204 by 12 and cancel it the 12 to isolate x and get x=17
Hope this helps :3
Alex Souza bought a certain number of hamsters and half that many pairs of parakeets to sell. He paid $2 each for the hamsters and $1 for each parakeet. On every pet, he placed a retail price that was 10% over what he paid for it. After all but seven of the creatures had been sold, Alex found that he had taken in for them an amount of money exactly equal to what he had originally paid for all of them. His potential profit, therefore, was represented by the combined retail value of the seven remaining animals. What was this value? Again, please explain your answer.
Alex Souza's potential profit represented by the combined retail value of the seven remaining animals is $13.20.
What is profit?Profit is the excess of revenue over costs.
Profit represents the additional revenue a business generates from its activities after subtracting all costs.
Data and Calculations:Hamsters Parakeets Total
Ratio 2 : 1
Cost price $2 $1
Profit margin $0.20 $0.10 (10%)
Retail price $2.20 $1.10
Ending inventory 5 2 7
Profit value $11 $2.20 $13.20
Thus, Alex Souza's potential profit represented by the combined retail value of the seven remaining animals is $13.20.
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A newspaper advertisement offers a $9,000 car for nothing down and 36 easy monthly payments of $317.50. What is the simple interest rate?
_____%
