Given:
The objective is to find the number.
Explanation:
Consider the unknown number as x,
First, four times the number can be written as 4x.
Twenty more than 4 time the number will be,
[tex]4x+20\ldots\ldots.\text{ (1)}[/tex]Then, twice the number can be represented as 2x.
And the difference between 2 and twice the number will be,
[tex]2-2x\ldots\ldots..(2)[/tex]Now, equate both the equations (1) and (2).
[tex]\begin{gathered} 4x+20=2-2x \\ 4x+2x=2-20 \\ 6x=-18 \\ x=\frac{-18}{6} \\ x=-3 \end{gathered}[/tex]Hence, the unknown number is -3.
Dividing decimals by whole numbers !pls helpp divide 4./280.8
When dividing 4 by 280.8, the answer gotten is 0.014245.
What are decimals?It should be noted that decimal numbers are numbers that have whole numbers as well as fractional parts. One of the number types in algebra that has a whole integer and a fractional portion separated by a decimal point is a decimal. The decimal point is the dot that appears between the parts of a whole number and a fraction. An example of a decimal number is 34.5. Examples are 2.4 and 9.34.
To divide a decimal by a whole number, follow these steps.
Directly above the decimal point in the dividend, place the decimal point in the quotient.Divide using full numbers in the same way as you would.Divide until there is no remainder or until a pattern emerges in the quotient. Whenever necessary, annex zeros.In this case, Dividing 4 by 280.8 will give a value of 0.014245.
Therefore the value is 0.014245.
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Dividing 4 by 280.8 gives
How to divide 4 by 280.8given data
4 ÷ 280.8
4 ÷ 280.8 = 4 / 280.8
= 4 / 280.8
= [tex]\frac{4}{\frac{2808}{10} }[/tex]
= 4/1 * 10 /2808
= 40 / 2808
= 20 / 1404
= 10 / 702
= 5 / 351
5//351 is the lowest form of the fraction and in decimal it is solved as
= 5 / 351
= 0.01424501425
= 0.0142 ( to 4 decimal place )
What are decimals?Decimals refers to number types which are displayed using points. The points used here is called decimal points.
Numbers appearing after the decimal point is not a whole number. If the set of number bearing decimal point has zero as the first and only number, then the whole number is not up to a whole number.
This is synonymous to the case of the solved problem. The number 0.0142 does not have a whole number part. Hence the number is less than 1
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The cost of 3 pounds of grapes is $6.57. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of grapes, x?
PLEASE I NEED HELP ME PLEASE
I WILL GIVE 40 POINTS FOR THE NEXT QUESTION
The value of the Constant of Proportionality will be $2.19.
In the given question, it is stated that 3 pounds of grapes cost $6.57. We have to calculate and find out the Constant of Proportionality.
The constant of Proportionality is a constant term in the equation that does not vary and has a fixed value that represents a certain quantity in a given situation.
Here, we know that 3pounds cost $6.57. Taking:
y = Total Cost
x = Number of Pounds
c = Constant of Proportionality
We get the equation to represent the Total cost with respect to the number of pounds where c will be the proportionality constant which defines the unit price of a pound. The equation will be:
=> y = c*x
=> 6.57 = 3c
=> c = 2.19
Hence, we get the Constant of Proportionality $2.19
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2x + 8 = -4 I NEED ALL PLS
Answer:
Answer down below!
Step-by-step explanation:
Let's write out the equation!
2x + 8 = -4
To solve this, you have to subtract the 8 and bring it over to -4
That would look something like:
2x -(+8) = -4 -8
That leaves you with 2x = -12
Now you divide 2 and -12 which will give you
-6
Answer:X= - 6
Step-by-step explanation:
MOVE +8 to the right which would make it negative so -8-4.You would add both numbers which would be -12 and then u divide -12 with 2 so
-12/2 is -6
help please i need it
Answer: 116 degrees
Step-by-step explanation: add JKM and MKL together to get JKL
Draw the graph of y=2x+1
Answer: Here you go
Step-by-step explanation:
100!/12^50
Solve! Thanks.
After solving : 100!/12^50, we get 1.025513e+104
Here, 100 factorial or 100!
Describe Factorial.The result of multiplying an integer by each natural number below it is the factorial of that number.
A factorial can be symbolically denoted by the sign "!"
The first n natural integers are added together to form "n factorial," which is represented by the number n.
100! = 100 × 99 × 98 × .... × 3 × 2 × 1 = 9.332621544 E+157.
This product is too big to calculate manually and hence a calculator is used.
Now, 9.332621544 E+157 / 12 ^ 50 = 1.025513e+104
Hence, after solving 100!/12^50, we get 1.025513e+104
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What other pair of angles or sides do you know are congruent?
1. QS = SQ
2. PS = RQ
3. angle QSP = angle SQR
4. angle P = angle R
(Look at attached files)
Based on the reflexive property of congruency, the other pair of sides that we know are congruent is: 1. QS = SQ.
What is the Reflexive Property of Congruency?The reflexive property of congruency states that a line will always be a congruent to itself. This means it will always be equal in measure to itself.
In the diagram given showing triangle QSP and triangle SQR, we are given that sides PQ and RS are congruent so also are angles PQS and RSQ.
However, we can also see that both triangles share a common side, side QS. Therefore, side QS is congruent to side SQ by the reflexive property of congruency.
This implies that another pair of sides would be: 1. QS = SQ.
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a florist shop gets an average of 18 phone orders in a 2 hour time period. in order to find the probability that the florist shop will get at most 4 phone orders in a 30 minute period using the poisson distribution, what is the average number of phone orders per 30 minutes?
If the probability that the florist shop will get at most 4 phone orders in a 30 minute period using the Poisson distribution, the average number of phone orders per 30 minutes is 5.
How to find the average number of phone order?Given data:
Average 18 phone order in 2 hour
4 phone orders in a 30 minute
Let x represent the average number of phone orders in 30 minutes.
Hence
then x30=18/120
Solving for x
x =18(30)/120
x = 540 / 120
x = 4.5
x = 5 (Approximately)
Therefore we can conclude that 5 is the average number of phone that was order.
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A uniform continuous distribution has a maximum of 14 and a minimum of 2. Samples of size 36 are drawn from the distribution. What is the variance of the sample means?.
The variance of the sample mean is 12/35 = 0.3429.. This is a result of uniform distribution.
The uniform distribution is a continuous probability distribution and is concerned with events that are equally likely to occur. When working out problems that have a uniform distribution, be careful to note if the data is inclusive or exclusive.
According to the question, we have
Sample size (n) = 36; uniform continuous distribution has a maximum of 14 and a minimum of 2.
The notation for the uniform distribution is
X U(a,b), where a= the lowest value of x and b= the highest value of x. The probability density function is f(x) = 1/(ba ) fo axb .
b = 14 and a = 2.
Variance in uniform distribution = (b-a)² / 12.
Put the value of a and b,
Variance = ( 14-2)²/12 = 12
Sample variance is used to calculate the variability of sample sets.
The variance of the sample means = variance / (sample size- 1) 9= (b-a)²/ (n-1)
= 12/35= 0.342
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Merlyn’s weight went down from 125 pounds to 110 pounds after dieting. What was her percent weight loss?
when Mrs. Smith makes chocolate-chip cookies, she uses 3/8 cup of chocolate chips for every 2 cups of flour. How many cups of chocolate chips would she use for 12 cups of flour?
In 12 cups of flour,we are going to have 2 cups of flour in six(6) places.
Thus, for 12 cups of flour, Mrs Smith will use:
[tex]\begin{gathered} \frac{3}{8}\times6\text{ cup of chocolate chips} \\ \Rightarrow\frac{18}{8}=\frac{9}{4\text{ }}cup\text{ of chocolate chips} \end{gathered}[/tex]or Josh made 7 pies. There were 7 slices in each strawberry pie and 9 slices in each blackberry pie. If Josh made 57 slices of pie in total, how many of each type of pie did he make?
(Worksheet typo.. Use this question) On the same map, the dining hall is located at (-12, 6) and the stables are located at (20, 6). How far apart is the dining hall from the stables? (Just type in the number)
If the dining hall is located at (-12,6) and the stables are located at (20,6), then the dining hall is 32 units apart from the stables
The location of the dining hall = (-12,6)
The location of the stables = (20,6)
The distance between the two points d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Where d is the distance between the two points
[tex](x_1,y_1)[/tex] is the coordinates of the first point
[tex](x_2,y_2)[/tex] is the coordinates of the second point
Substitute the values in the equation
d = [tex]\sqrt{20-(12))^2+(6-6)^2}[/tex]
= [tex]\sqrt{1024}[/tex]
= 32 units
Hence, if the dining hall is located at (-12,6) and the stables are located at (20,6), then the dining hall is 32 units apart from the stables
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Fill in the blanks below.Find the slope of the line passing through the points (-8, 4) and (-8. - 9).slope: ___
Solution:
The slope of a line that passes through two given points A and B, is expressed as
[tex]\begin{gathered} slope=\frac{y_2-y_1}{x_2-x_1} \\ where \\ (x_1,y_1)\text{ and \lparen x}_2,y_2)\text{ are the coordinates of the points through} \\ which\text{ the line passes.} \end{gathered}[/tex]Given that the line passes through the points (-8, 4) and (-8, -9), this implies that
[tex]\begin{gathered} x_1=-8 \\ y_1=4 \\ x_2=-8 \\ y_2=-9 \end{gathered}[/tex]By substituting these values into the slope formula, we have
[tex]\begin{gathered} slope\text{ = }\frac{y_2-y_1}{x_2-x_1} \\ =\frac{-9-4}{-8-(-8)} \\ =\frac{-9-4}{-8+8} \\ =\frac{-13}{0} \\ \Rightarrow slope=\infty \end{gathered}[/tex]Hence, the slope of the line that passes through the points (-8, 4) and (-8. - 9) is evaluated to be
at infinity.
*4) The image of the origin under a certain translation is (5,-6). The
image of point (-4,2) under the same translation is which?
(1) (1,-4)
(3) (-5,6)
4).
(2) (9,8)
(4) (-9,8)
Rafael is fertilizing his garden. The garden is in the shape of a rectangle. Its length is 16 feet and its width is 13 feet. Suppose each bag of fertilizer covers 26 square feet. How many bags will he need to cover the garden?
Rafael is fertilizing his garden. The garden is in the shape of a rectangle. Its length is 16 feet and its width is 13 feet. Suppose each bag of fertilizer covers 26 square feet. How many bags will he need to cover the garden?
step 1
Find the area of the garden
Remember that the area of a rectangle is equal to
A=L*W
we have
L=16 ft
W=13 ft
substitute
A=16*13
A=208 ft^2
step 2
we know that
each bag of fertilizer covers 26 square feet
so
Applying proportion
1/26=x/208
solve for x
x ----> number of bags
x=(1/26)*208
x=8 bags
therefore
the answer is 8 bagsx = 6 % 2
if x == 1:
print("ONE")
else:
print("TWO")
Answer:ok
Step-by-step explanation: good job
The output of the program code block given will be two.
What is Python Programming language?Python is a high-level, general-purpose programming language. Its design philosophy emphasizes code readability with the use of significant indentation.
Given is the following code structure -
x = 6 % 2
if x == 1:
print("ONE")
else:
print("TWO")
If we dry run the program, we can write -
x = 6 % 2
x = 0
Now, x is not equal to 1, therefore, it will print two.
Therefore, the output of the program code block given above will be two.
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A store has two types of animal feed available. Type A contains 3 pounds of oats and 2 pounds of corn per bag. Type B contains 1 poun
of corn per bag. A farmer wants to combine the two types so that the resulting mixture has at least 16 pounds of oats and at least 52
only has 15 bags of type A feed and 13 bags of type B feed in stock. Type A costs $4 per bag, and type B costs $1 per bag. How many
the farmer buy to minimize his cost?
Note that the ALEKS graphing calculator can be used to make computations easier.
OO EXPLANATION
Answer : type A feed : 1 bag(s)
Type B feed : 13 bag(s)
(A) Reflected, then translated
(B) Rotated, then translated
(C) Rotated, then reflected
Answer:
I am 99% certain that the answer is c. because it has defiantly been reflected. and if you look at the points in order for them to be moved like that it would have had to have been rotated first.
answer is chope this helped!
Carla wants to buy a set of dishes. The sale price is $72. What was the original price if it was %10 off
The original price of the dishes is $80
How to calculate the original price of the dishes ?
The sale price is $72
10% was off from the original price to get the sale price
The original price can be calculated as follows
100-10
= 90%
Let y represent the original price
72 ÷ 90/100
= 72 ÷ 0.9
= 80
Hence the original price of the dishes before 10% was taken off is $80
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Please help
1111111ajahwbiskakapqlwjbsmskskwnwjwjs
Answer: (y-(-43))=-7(x-6) and y=-7x-1
Step-by-step explanation:
1) Pick two points. I'll choose (3,-22) and (6,-43)
2) Next set it up in a rise-over-run function
-43 - (-22)
-------------
6 - 3
3) Solve
-21/3
-7
The slope is -7
4) Find the starting value.
You can do this by substituting two points in a slope-intercept equation(y=mx+b)
y=-7x+b
-22=-7(3)+b
-22= -21+b
-1=b
The starting value is -1.
5) Slope intercept form
We can put all the info together to find that the slope-intercept is:
y=-7x-1
6) Point-slope form:
Point slope form equation is this: y-y1=m(x-x1)
y1 and x1 are one of the points while keeping x and y as variables
So our final equation is (y-(-43))=-7(x-6)
Could i have help with this question please?
Int the place of F(x) PLUG IN 4X+6 AND THEN SIMPLIFY THE EXPRESSION.BELOW IS THE RESPONSE:
[tex]g(x) = \frac{1}{2} \times (4x + 6) \\ g(x) = \frac{1}{2} \times 2(2x + 3) \\ g(x) = 2x + 3[/tex]
g(x)=2x+3
IT MEANS IN THE BLANKS YOU WILL INSERT 2 IN THE FIRST BLANK AND IN THE SECOND BLANK INSERT 3
HOPE THIS HELPS
The system of equations is solved using the linear combination method.
StartLayout 1st row 1st column one-half x + 4 y = 8 right-arrow 2nd column negative 2 (one-half x + 4 y = 8) right-arrow 3rd column negative x minus 8 y = negative 16 2nd row 1st column 3 x + 24 y = 12 right-arrow 2nd column one-third (3 x + 24 y = 12) right arrow x + 8 y = 4 with Bar Underscript 3rd row 3rd column 0 = negative 12 EndLayout
What does 0 = −12 mean regarding the solution to the system?
There are no solutions to the system because the equations represent parallel lines.
There are no solutions to the system because the equations represent the same line.
There are infinitely many solutions to the system because the equations represent parallel lines.
There are infinitely many solutions to the system because the equations represent the same line.
Answer: The answer is A) There are no solutions to the system because the equations represent parallel lines.
Step-by-step explanation: got it on edge 2022
Answer:
There are no solutions to the system because the equations represent parallel lines
Step-by-step explanation:
(3x+15)° 2x° what measurement represents the measurements of the two angles?
A.60° and 120°
B. 66° and 114°
C. 33° and 147°
D. 56° and 124
Given: f(x) = 2×+ 4, g(×) = ײ +4×+4 and h(×)= ײ-4
Find:
1. (fg) (×)
2. (hg) (×)
3. (fh) (2)
4. (gf) (×)
5. (gh) (×)
6. (fh) (×)
7. (hg) (1)
The results of the operation of multiplication between two functions are, respectively:
2 · x³ + 12 · x² + 24 · x + 16 x⁴ + 4 · x³ - 16 · x - 16 - 32 2 · x³ + 12 · x² + 24 · x + 16 x⁴ + 4 · x³ - 16 · x - 16 2 · x³ - 4 · x² - 8 · x - 16 - 27How to find the product of two functions
According to function theory, there are five operations between two functions to create resulting functions:
Addition - f(x) + g(x) = (f + g) (x).Subtraction - f(x) - g(x) = (f - g) (x).Multiplication - f(x) · g(x) = (f · g) (x).Division - f(x) / g(x) = (f / g) (x).In this problem we must use the operation of multiplication between two functions.
Case 1
(f · g)(x) = (2 · x + 4) · (x² + 4 · x + 4)
(f · g)(x) = (2 · x + 4) · x² + 4 · (2 · x + 4) · x + 4 · (2 · x + 4)
(f · g)(x) = 2 · x³ + 4 · x² + 8 · x² + 16 · x + 8 · x + 16
(f · g)(x) = 2 · x³ + 12 · x² + 24 · x + 16
Case 2
(h · g)(x) = (x² - 4) · (x² + 4 · x + 4)
(h · g)(x) = (x² - 4) · x² + (x² - 4) · (4 · x) + (x² - 4) · 4
(h · g)(x) = x⁴ - 4 · x² + 4 · x³ - 16 · x + 4 · x² - 16
(h · g)(x) = x⁴ + 4 · x³ - 16 · x - 16
Case 3
(f · h)(x) = (2 · x + 4) · (x² - 4)
(f · h)(x) = 2 · x³ - 8 · x + 4 · x² - 16
(f · h)(x) = 2 · x³ - 4 · x² - 8 · x - 16
(f · h)(2) = 2 · 2³ - 4 · 2² - 8 · 2 - 16
(f · h)(2) = - 32
Case 4
(g · f)(x) = (x² + 4 · x + 4) · (2 · x + 4)
(g · f)(x) = 2 · x³ + 12 · x² + 24 · x + 16
Case 5
(g · h)(x) = (x² + 4 · x + 4) · (x² - 4)
(g · h)(x) = x⁴ + 4 · x³ - 16 · x - 16
Case 6
(f · h)(x) = (2 · x + 4) · (x² - 4)
(f · h)(x) = 2 · x³ - 4 · x² - 8 · x - 16
Case 7
(h · g)(x) = (x² - 4) · (x² + 4 · x + 4)
(h · g)(x) = x⁴ + 4 · x³ - 16 · x - 16
(h · g)(1) = 1⁴ + 4 · 1³ - 16 · 1 - 16
(h · g)(1) = - 27
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Find the surface area and volume of each solid. Round each measure to the nearest tenth, if necessary a cone with a 5 yd radius, and a 13yd slant
The surface and of the cone is
The volume of the cone is
What is a cone?
A cone is a three-dimensional geometric shape that tapers smoothly from a flat base (frequently, though not necessarily, circular) to a point called the apex or vertex.
We are given that radius of the cone as 5yd and slant height as 13yd
We first find the height using pythagoras theorem
Let height be h
by Pythagoras theorem we have
[tex]r^{2}+h^{2}=13^2\\ 5^2+h^2=169\\ h^2=144\\h=12[/tex]
Height of the cone is 12yds
Now volume of the cone is given by
[tex]V=[/tex]π[tex]r^{2}\frac{h}{3}[/tex]
Substituting the values in the equation we get
[tex]V=100[/tex]π yd^3
Now we find the surface area
The formula for surface area is
[tex]A=r(r+\sqrt{r^2+h^2} )[/tex]π
Substituting the values in the equation we get
[tex]A=90[/tex]π yd^2
Hence the surface area of the cone is 90π yd^2
And the volume of the cone is 100π yd^3
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Please answer me this as soon as possible i need it urgently.
Note: This is grade 6 maths.
Answer:
1a. 4/6
1b. 6/9
1c. 8/12
2. [tex] \frac{6}{12} [/tex]
3. 8/16
Step-by-step explanation:
1a. Multiply top and bottom value by 2
1b.multiply top and bottom value by 3
1c. multiply top and bottom value by 4
2.To get your denominator to twelve you multiply it by 2. and if you multiply by two at the bottom you also multiply by two on top.
3.to get your denominator to 16 multiply the denominator by 8. If you multiply the bottom you should multiply the top with the same value as well.
Graph the dilated image of triangle XYZ using a scale factor of 1.5 and (0,0) as the center of dilation
Please find attached the dilated image of triangle ΔXYZ obtained by using a scale factor of 1.5, with the center of dilation at (0, 0), giving the coordinates of the vertices at the points X'(-6, 3), Y'(9, 0) and Z'(-3, -6).
What is a dilation transformation?A dilation transformation is one in which the lengths of a figure are scaled up or down.
From a similar question online, we have:
The vertices of the triangle ΔXYZ are: X(-4, 2), Y(6, 0), and Z(-2, -4)
The given center of dilation is (0, 0)
The scale factor of the dilation is 1.5
The coordinates of the points on the image following a dilation of the point (x, y) by a scale factor of k about the origin is given by the formula:
(x, y) [tex]\underrightarrow{R_k}[/tex] (k·x, k·y)
Therefore, the coordinates of the vertices of the image of the triangle ΔXYZ following a dilation by a scale factor of 1.5 are:
X(-4, 2) [tex]\underrightarrow{R_k}[/tex] X'(1.5×(-4), 1.5×2) = X'(-6, 3)
Y(6, 0) [tex]\underrightarrow{R_k}[/tex] Y'(1.5×6, 1.5×0) = Y'(9, 0)
Z(-2, -4) [tex]\underrightarrow{R_k}[/tex] (1.5×(-2), 1.5×(-4)) = (-3, -6)
The vertices of the dilated image of ΔXYZ, which is ΔX'Y'Z' are; X'(-6, 3), Y'(9, 0), Z'(-3, -6)
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rewrite 1/4 book 1/3hour as a unit rate
Based on the mathematical statement, the unit rate is 3/4 books per hour
How to rewrite the expression as a unit rate?The mathematical statement is given as
"rewrite 1/4 book 1/3hour as a unit rate"
The above means that
Book = 1/4
Time = 1/3 hour
The unit rate is then calculated as
Unit rate = Book/Time
Substitute the known values in the above equation
So, we have the following equation
Unit rate = (1/4)/(1/3)
Evaluate
Unit rate = 3/4
Hence, the solution is 3/4 books per hour
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Kelyse's preschool tuition is $180 per week. She
receives a small discount for honor roll, $50 per
month. Her grandparents help out and pays
20% of her tuition. How much do her
grandparents pay?
$134 is the amount paid by grandparents every month.
What is the percentage?Percentage as the name suggests is a ratio of some particles to 100. In order to get the value of the required amount one has to divide the value by 100.
It is given that the tuition fee is $180 per week = $720 per month
It is also provided that she receives an honour rule of $50 per month.
So, her fees per month is $720- $50= $670.
It is given that 20% of the fees is paid by grandparents.
So, percentage share = 20% of $670 =20/100 x $ 670 = $134
So, $134 is paid by the grandparents every month.
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