There are 100 4-digit positive integers are possible between 1000 and 9999.
Our first step is to divide the four digit number into four places: tens, hundreds, and thousands.
To solve this problem, we must start from the right-hand side and find how many even numbers should be placed where the desired answer can be obtained.
There are a total of [0, 2, 4, 6, and 8] objects
There should only be one digit on one place, since it is the only digit that makes the number divisible by five
There are 1 ways to fill the one's place, so the total number is 1.
It is possible to take any number from the given sets of even numbers in the tens place,
There are five ways to fill one place, so there are five ways to fill it.
Taking a look at the hundreds place,
All numbers can be placed in the hundreds place from the given sets, so all numbers can be taken from the hundreds place.
Therefore, there are five ways to fill the hundreds place.
Taking a look at the thousands,
It is possible to fill thousands of places with 4 numbers from a given set of even numbers.
Therefore, there are four ways to fill the thousands place
The next step is to use the concept of factorial to find the number of ways to make a 4-digit number from even numbers that are divisible by 5.
To fill the respective places, we will multiply all the ways we calculated
= 4 × 5 × 5 × 1
= 100
Hence, there 100 4-digit positive integers possible.
Question
how many 4-digit positive integers (that is, integers between 1000 and 9999, inclusive) having only even digits are divisible by 5?
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Games at the carnival costs $9 each. The prizes awarded to the winners costs the owner $207.35. How many games must be played for the owner to make more than $100.
Write and solve an inequality. Show your work using 3 or 4 steps. Use g as your variable. Round your initial answer to the nearest hundredth.
The inequality used to represent games at carnival is 9g - 207.35 > 100
The solution is g > 34.15
How to determine the inequality used to represent games at carnivalInformation gotten from the question include
Games at the carnival costs $9 each
The prizes awarded to the winners costs the owner $207.35
How many games must be played for the owner to make more than $100 = ?
Using g as variable which is the number of games to be played we have
total amount gotten from games = 9 * g
prizes of winners = 207.35
The inequality equation as described in the problem is represented using linear function as as follows
9g - 207.35 > 100
for the owner to make more than 100 we have the equation
total amount gotten from games - prizes of winners > 100
9g - 207.35 > 100
100 + 207.35 < 9g
9g > 307.35
g > 34.15
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Elena had 24 base hits in 110 at bats. She has done a lot of practice and now thinks that for all of her future at bats in this season, she will have a batting average of 0.350. If she does, then how many more at bats will Elena need so that with this average, she reaches a 0.300 batting average overall for the whole season?
Elena will need 180 more bats
Let she bats b more needs
Total bats = 110 + b
Base hits = 24 + 0.35 b
From the question, we have
( 24 + 0.35b) / (110 + b) = 0.300
24 + 0.35b = 33 + 0.3 b
0.05 b = 9
b = 9 / 0.05 = 180
Subtraction:
The process of removing items from a collection is represented by subtraction. Subtraction is represented by the minus sign. If, for instance, there are nine oranges stacked together (as shown in the above figure), and four of those oranges are then moved to a basket, the stack will contain nine minus four oranges, or five oranges. As a result, 9 minus 4 equals 5, or the difference between 9 and 4. Incorporating subtraction into other types of numbers is possible in addition to using it with natural numbers.
The symbol for subtraction is the letter "-". The three numerical elements that make up the subtraction operation are the minuend, the subtrahend, and the difference. As the first integer to be subtracted from in a subtraction phrase, a minuend is the first number in the subtraction process.
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Find the solution of the system of equations.
−10x+2y=−32
-2x-2y=−16
The solution of the system of equations are x = 4 and y = 4.
What are the solutions?The system of equations would be solved using the elimination method.
−10x+2y=−32 equation 1
-2x-2y=−16 equation 2
In order to determine the value of x, take the following steps:
Add equation 2 and equation 1 together
-12x = - 48
Divide both sides of the equation by -12
x = -48 / - 12
x = 4
In order to determine the value of y, substitute for x in equation 1:
-(10 x 4) + 2y = -32
-40 + 2y = -32
Combine similar terms:
2y = -32 + 40
Add similar terms:
2y = 8
Divide both sides of the equation by 2
y = 8 / 2
y = 4
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Find the value of x. Then find the measure of each angle and write the answers in ascending order.
The measured interior angles of the triangle are 40°, 60°, and 80° in ascending order.
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.
The triangle has interior angles are:
(2x)°, (3x)° and (4x)°
As we know that the sum of interior angles is 180 degrees in the triangle.
According to the given figure,
(2x)° + (3x)° + (4x)° = 180°
Apply the addition operation in the above equation,
9x = 180
x = 180/9
x = 20°
Thus, The triangle has interior angles are:
(2x)° = 2 × 20° = 40°
(3x)° = 3 × 20° = 60°
(4x)° = 4 × 20° = 80°
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the measure of each side of an equilateral triangle whose are is [tex]\sqrt{3}[/tex] cm² is
Brainlist
The measure of each side of an equilateral triangle is 2 cm whose area is √3 cm square.
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbol Δ.
We have been given the measure of each side of an equilateral triangle whose area is √3 cm².
Let the measure of each side would be "a"
We know that,
Area of an equilateral triangle = √3a² / 4
As per the question,
⇒ √3 cm²= √3a² / 4
⇒ √3a² = 4√3 / √3
⇒ a² = 4 = √4
⇒ a = 2 cm
Thus, the measure of each side of an equilateral triangle is 2 cm whose area is √3 cm square.
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The sum of five times a number and three is between -7 and 23.
The number of the given statement will be inequality -2 < x < 4.
We have been given the statement "the sum of five times a number and three is between -7 and 23".
Let the number would be x
As per the given statement, we can represent this algebraic form with inequality as:
⇒ -7 < 5x + 3 < 23
Subtract 3 on both sides of the above inequality
⇒ -7 - 3 < 5x < 23 - 3
⇒ -10 < 5x < 20
Divided by 5 into both sides of the above inequality
⇒ -2 < x < 4
Thus, the number of the given statement will be inequality -2 < x < 4.
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The question seems to be incomplete the correct question would be
Find the number if the sum of five times a number and three is between -7 and 23.
- Lyra was trying to determine the slope ratio for the triangle at right, and she
says the answer is 2.675. Isiah claims that cannot be correct. Who is
right? How do you know?
Answer:
Isiah is correct. The slope is about 0.344.
Step-by-step explanation:
Lyra and Isiah want the slope of the hypotenuse in a triangle with an angle of elevation of 19°.
SlopeThe slope is the ratio of "rise" to "run". In a right triangle, that is the ratio "opposite"/"adjacent". This ratio is the tangent of the angle of elevation.
tan(19°) ≈ 0.344
The slope is about 0.344. Isiah is correct.
Isiah knows Lyra is not correct because the slope in a triangle with a 45° angle is 1. Lyra' value of 2.675 is about right for an angle of 69.5°, much greater than either 45° or the given angle of 19°.
__
Additional comment
Unfortunately, the diagram is not drawn to scale. This is often the case with diagrams in geometry problems. The diagram here is misleading in that it seems to show a slope greater than 1 for a 19° angle.
Mila bought stock in a company
two years ago that was worth z
dollars. During the first year that she owned the stock, it decreased by
35%. During the second year the value of the stock decreased
by 32%.
Write an expression in terms of z that represents the value of the stoc
after the two years have passed.
The expression is 2z+0.67
From the question, we have
During the first year that she owned the stock, it decreased by 35%. During the second year the value of the stock decreased by 32%.
z-35%+z-32%
=z-7/20+z-8/25
=2z+0.67
Subtraction:
Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers.
The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.
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Jumpin' Dolphin Boat Tours takes tourists into the Gulf of Mexico to see dolphins. Tourists buy tickets and pay extra for tour pictures. The total price for t tickets and p pictures is 10t+5p dollars. The Kelley family went on a tour this afternoon. They bought 4 tickets and 3 pictures.
What was the total cost of the Kelley family's tour?
If Kelley family went on a tour this afternoon and they bought 4 tickets and 3 pictures. The total cost of the Kelley family's tour is $55.
How to find the total cost?Given data
Total price = 10t+5p dollars
Where:
t = tickets =4
p = pictures = 3
Now let find the total cost
Total cost = 10t+5p
Total cost = 10(4) + 5(3)
Total cost =40 +15
Total cost =$55
Therefore we can conclude that the total cost is the amount of $55.
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Y=1/2x+5
Y= -5/2x-1 ???
Answer:
It's correct
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation. Point Form: (-2, 4) Equation Form : X= -2, Y = 4.
PLEASE HELP FAST!!!! ILL GIVE BRAINLIEST!!!!
A linear function contains the following points.
What are the slope and y-intercept of this function?
A. The slope is 11/2
The y-intercept is (0, -5).
B. The slope is 2/11
The y-intercept is (0, -5).
C. The slope is 11/2
The y-intercept is (-5, 0).
D. The slope is 11.
The y-intercept is (0, -5).
A right triangle's hypotenuse is 1 cm longer than twice the length of the shortest side.
The third side is 1 cm less than twice the shortest side.
Find the length (in cm) of the hypotenuse.
Answer:
17 cm
Step-by-step explanation:
You want the hypotenuse (c) in a right triangle that has c=2a+1, b=2a-1.
Pythagorean theoremThe relation between the side lengths in the right triangle is ...
a² +b² = c²
ApplicationSubstituting the given relations, we have ...
a² +(2a-1)² = (2a+1)²
a² +4a² -4a +1 = 4a² +4a +1
a² -8a = 0 . . . . . . write in standard form
a(a -8) = 0 . . . . . . factor
a = 0 or a = 8
We are almost never concerned with triangles that have 0 area, so the solution of interest is a=8. Then the hypotenuse is ...
c = 2(8) +1 = 17
The hypotenuse is 17 cm.
__
Additional comment
You may recognize these side lengths as the (8, 15, 17) Pythagorean triple.
Which of these strategies would eliminate a variable in the system of equations?
The strategy which would eliminate a variable in the system of equations is to multiply the top equation by 6 ,multiply the bottom equation by -5 then add the equation and is denoted as option B.
What is Equation?This is a mathematical term which is made up of two expressions and is connected by an equal sign.
In the example given below:
8x + 5y = -7
-7x + 6y = -4
We can multiply the top by 6 and the bottom by -5 which will result in:
48x + 30y = -42
35x - 30y = 20
They are then added to each other to give:
48x + 35x + 30y - 30y = -42 + 20
83x = - 22
x = -22/83
From this we can notice that the variable y was eliminated which is why option B is the correct choice.
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Work out 3^8 =9root3
what is the sum between 6/9 and 3/6
Answer:
21/18 or 1 and 3/18
Step-by-step explanation:
6/9 = 12/18
3/6 = 9/18
12/18 + 9/18 = 21/18 or 1 3/18
Answer:
[tex] \frac{6}{9} + \frac{3}{6} \\ \\ = \frac{2 \times 6 + 3 \times 3}{18} = \frac{12 + 9}{18} = \frac{21}{18} = \frac{7}{6} = 1 \frac{1}{6} [/tex]express (3) - (2tan^2 x) in terms of cos x
The expression of [tex]3-2tan^2x\\[/tex] in terms of [tex]cosx[/tex] is [tex]3-2(\frac{1-cos^2x}{cos^2x})[/tex]. Similarly, any tirigonometric equation can be convereted into other forms of trigonometric functions.
What is trigonometric functions?
Denoting the relation between a right-angled triangle's angle and sides are trigonometric functions, which are periodic functions.
Consider the given expression.
[tex]3-2tan^2x\\[/tex]
Now, substitute [tex]\frac{sinx}{cosx}[/tex] for [tex]tanx[/tex] as follows:
[tex]3-2tan^2x=3-2(\frac{sinx}{cosx})^2\\=3-2(\frac{sin^2x}{cos^2x})[/tex]
Now, all the terms are converted into cos x except the sin x terms in the numerator. Hence, using the relation between sin x and cos x. Substitute [tex]1-cos^2x[/tex] for [tex]sin^2x[/tex].
[tex]3-2tan^2x=3-2(\frac{1-cos^2x}{cos^2x})[/tex]
Now, all the terms are in cos x. Hence, the expression of [tex]3-2tan^2x\\[/tex] in terms of [tex]cosx[/tex] is [tex]3-2(\frac{1-cos^2x}{cos^2x})[/tex]. In the similar way any function can be conveted into other trigonometric functions.
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help meeeeeeeeeeeeeee pleaseee
The table of solutions should be completed based on the given equation (y = 2x²) as follows:
x y_
-2 8
-1 2
0 0
1 2
2 8
Also, a graph of the solution to the given equation is shown in the image attached below.
What is a graph?In Mathematics, a graph can be defined as a type of chart that is commonly used for the graphical representation of data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate.
Next, we would complete the table based on the given equation as follows:
When x = -2, the value of point y is given by:
y = 2x²
y = 2(-2)²
y = 2 × 4
y = 8
When x = -1, the value of point y is given by:
y = 2x²
y = 2(-1)²
y = 2 × 1
y = 2
When x = 0, the value of point y is given by:
y = 2x²
y = 2(0)²
y = 2 × 0
y = 0
When x = 1, the value of point y is given by:
y = 2x²
y = 2(1)²
y = 2 × 1
y = 2
When x = 2, the value of point y is given by:
y = 2x²
y = 2(2)²
y = 2 × 4
y = 8
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Carlos’s is a receptionist at a law firm, he spend 2 minutes routing each phone call as it come in. Write an equation that shows how the total number of minutes Carlos spend routing call y depend on the number of call x
Answer: 2y or 2 x y
Step-by-step explanation:
2 times the minutes
therefor if carlos answers 4 calls, you would say 2 x 4 and you ranswer would be 8 minutes.
-5/8 + 1/4. Add.
Simplest form.
Answer: -3/8 or -0.375
Step-by-step explanation:
you have to get similar denominators to simplify
so times 1/4 by 2 to get 2/8
and then just do 2/8 - 5/8 and you get the answer
Sascha owns stock in Lewis Corp, and she bought a $1,000 corporate bond. The bond pays 6.34% annual interest.
How much will Sascha receive in annual interest?
The amount that Sascha will receive in annual interest based on the information is $63.40.
How to calculate the interest?From the information, Sascha owns stock in Lewis Corp, and she bought a $1,000 corporate bond and the bond pays 6.34% annual interest.
In this case, it should be noted that the simple interest is calculated as:
Principal × Rate × Time
Principal = $1000
Time = 1 year
Rate = 6.34%
The interest will be:
= Principal × Rate × Time
= 1000 × 0.0634 × 1
= $63.40
The interest is $63.40.
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help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The equation of the parabola is f(x) = 7(x-3)^2+5.
Given:
The equation of the parabola that has the same shape has f(x) = 7x^2 but with vertex(3,5) in the form of f(x) = a(x-h)^2 + k.
If the parabola has same shape then its a values are same.
so f(x) = 7x^2
here a = 7
so the equation with vertex (3,5) also has a value is 7.
(h,k) = (3,5)
f(x) = a(x-h)^2+k
= 7(x-3)^2 + 5.
Therefore the equation of the parabola is f(x) = 7(x-3)^2+5.
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how many one-to-one functions are there from a set with five elements to sets with the following number of elements? a) 4 b) 5 c) 6 d) 7
a)4
so it's seven factorial divided by 7-5 factorial
PLEASE HELP!!!
The two lines graphed below are parallel. How many solutions are there to the system of equations?
A. Zero
B. Two
C. One
D. Infinitely many
Answer:
Step-by-step explanation:
It would be D.
Why is Mathematics called the queen of science (1 paragraph response please)
(14x - 2) - (11x-21)
Answer:
3x+19
Step-by-step explanation:
Distribute:
14 x − 2 − ( 11 x − 21 ) 1 4 − 2 − ( 1 1 − 2 1 )
14 x − 2 − 11 x + 21 1 4 − 2 − 1 1 + 2 1
Add the numbers:
14x−2−11x+21
14−2−11+2
Combine like terms:
14x+19−11x
14 +19−113x+193+19
Solution: 3x+19
Answer:
3x + 19
Example:
None.
Charlie wants to solve the equation -1/4(x-1) =2/3 x +2. Which step would not be an appropriate first step for Charlie to take to solve for x?
The first step Charlie should use to solve the equation will be to open the bracket on the left side of the equation.
How to solve an equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.
The equation Charlie wants to solve can be calculated as follows:
-1/4(x - 1) =2/3 x +2
The first step would be to open the parenthesis on the left side of the equation as follows:
-1/4(x - 1) =2/3 x +2
- 1 / 4 x + 1 / 4 = 2 / 3 x + 2
Let's subtract 1 / 4 from both sides of the equation
- 1 / 4 x + 1 / 4 = 2 / 3 x + 2
- 1 / 4 x + 1 / 4 - 1 / 4 = 2 / 3 x + 2 - 1 / 4
- 1 / 4 x = 2 / 3 x + 7 /4
subtract 2 / 3 x from both sides of the equation.
- 1 / 4 x = 2 / 3 x + 7 /4
- 1 / 4 x - 2 / 3 x = 2 / 3 x - 2 / 3 x + 7 /4
- 11 / 12 x = 7 / 4
cross multiply
-44x = 84
divide both sides by - 44
x = 84 / -44
x = - 21 / 11
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exponential smoothing is meant to be used with time-series data when the data are made up of some or all of the basic components of level, trend, seasonalitiy, and error. if the data series only fluctuates about an average with no trend and no serasonalitiy, which form of smoothing wouldyou employ? if the data include all of these components, which form of smoothing would you employ? how should the smoothing constants be chosen?
Based on the information provided, ETS is an abbreviation for these three terms (Error, Trend, and Season). Following that, Exponential Smoothing Methods for an ETS system can be described, with the details specified in a smoothing style.
=> As should be obvious, combining Error, Trend, and Season on any occasion in three distinct ways yields a plethora of combinations.
=> The trend depicts the overall layout of the time. It communicates with the data's drawn-out model — its tendency.
=> The seasonal section displays the types associated with anticipated events. Finally, the error component explains what the season and trend components do not. The error is due to the disparity between the first data and the combination of trend and seasonality. As a result, if we crystallize all three parts, we will have the first data back.
=> It has a counted substance conduct when the period of seasonal swings remains constant.
=> We can label our model as ETS (M,A,M).
-> Multiplicative Mistake
-> Added substance Trend
-> Multiplicative Seasonality.
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2– 1 8 y=11+ 7 8 y solve the y
Answer:
y=-3/32
Step-by-step explanation:
2-18y=11+78y
-18y-78y=11-2
-96y=9
y=-3/32
Write the coordinates of the verticals after a rotation 90 degrees counterclockwise around the origin
After a counterclockwise 90° rotation, the coordinates of A'B'C' are:
A' = (3, 3)B' = (6, 5)C' = (3, 6)What are Coordinates?A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.The origin is the point at which all lines in a coordinate system intersect. When x and y are both equal to zero, the axes intersect. The origin's coordinates are (0, 0). The coordinates of one point in the coordinate system are included in an ordered pair.So, the coordinates after the counterclockwise rotation of 90°:
The coordinates of ABC are:A = (3, -3)B = (6, -3)C = (5, -6)After counterclockwise 90° rotation, coordinates of A'B'C' are:
A' = (3, 3)B' = (6, 5)C' = (3, 6)(Refer to the graph attached below)
Therefore, after a counterclockwise 90° rotation, the coordinates of A'B'C' are:
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How do I solve this and what's the answer please?
The value of the expression when z = -19 is 25.
How to evaluate the expression?
Here we have the expression:
(33 + 2z)²
And we want to evaluate this on z = -19
Evaluating just means that we need to replace the variable in the expression by the given number.
By doing that we will get:
(33 + 2*(-19))^2
(33 - 38)^2
(-5)^2 = 25
The expression is equal to 25.
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