Two expressions with an equal sign is equation, The given function is 7x+2y=6, The equation when x is independent variable is x=(6-2y)/7.
What is equation?Two expressions with an equal sign in between is called as equation.
The given equation is 7x+2y=6.
In the given equation x and y are two variables.
According to the question, to make x as independent variable we have to perform few operation in equation.
7x+2y=6.
Subtract 2y on both sides
7x+2y-2y=6-2y
7x=6-2y
Divide both sides by 7
x=(6-2y)/7.
Therefore the independent variable x is (6-2y)/7.
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A trial is one specific execution of an experiment.
t or f
Answer:
Step-by-step explanation:
f
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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Anthony want to have $250,000 in 8 years. If her account is paying 14% interest compounded continuously, how much should she invest in now?
The principal investment required to get a total amount of $250,000.00 rounded to the nearest cent is $81569.95.
What is the principal investment required to get the given accrued amount?The formula for calculating compound interest is expressed as;
A = P(1 + r/n)^(n*t)
P = A / e^(r*t) compounded continuously
Given the data in the question;
Accrued amount A = $250,000Time t = 8 yearsAnnual interest = 14% = 14/100 = 0.14compounded continuouslyPlug the given values into the equation above and solve for P
P = A / e^(r*t)
P = 250,000 / e^( 0.14 × 8 )
P = 250,000 / e^( 1.12)
P = 250,000 / e^( 1.12)
P = $81569.95
Therefore the principal investment required to get a total amount of $250,000.00 rounded to the nearest cent is $81569.95.
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(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
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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In a survey of 95 pet owners, 56 said they own a dog, and 37 said they own a cat. 34 said they own both a dog and a cat? How many owned a dog but not a cat?
Based on the number of people who said they own a dog and those who owned both a cat and a dog, the number of people who own a dog but not a cat are 22 people.
How to find those who own a dog?To find the number of people who own a dog but not a cat, the formula is:
= Number of people who own a dog - Number of people who own both a dog and a cat
Solving for the number who own a dog and no cats is:
= 56 - 34
= 22 people
In conclusion, 22 people own a dog but not a cat.
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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.
A tringle is shown.
The triangle is translated 5 units down, then reflected over the x-axis.
Select the Polygon tool. Then, click the points of the triangle vertices to create the triangle by connecting the sides.
The triangle was translated 5 units down and then reflected over the x axis to get (-1, 2), (2, 6) and (-5, 8)
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, rotation, translation and dilation.
Transformation is the movement of a point either up, down, left or right in the coordinate plane.
The triangle shown has vertices at (-1, 3), (2, -1) and (-5, -3). It was translated 5 units down to get (-1, -2), (2, -6) and (-5, -8). It is then reflected over the x axis to get (-1, 2), (2, 6) and (-5, 8)
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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:
I’m so confused can someone help me pls
Answer:
In so confused to here's a picture that might help a little bit
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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Karen puts a fence around an L shaped garden with dimensions 2.1ft by 7.8ft by 5.5ft by2.7ft how many feet of fencing will she need
Karen while putting a fence around the L shaped garden will need about 22.3 ft which is the exact perimeter of this field, with its dimensions as given as 2.1ft by 7.8ft by 5.5ft by2.7ft of the garden.
In arithmetic, how do you handle perimeter?Any kind of closed path that covers, encircles, or outlines a full one-dimensional length or a two-dimensional shape is called as a perimeter.
The circumference of a circle or an ellipse is referred to as its perimeter. There are varied uses in real life for the perimeter calculations.
For example, in case of a rectangle, there are two equal lengths and two equal widths in a rectangle. Then we must sum up all the lengths of the rectangle’s four sides in order to get its final perimeter.
Since there are like two of each side length, it is easy to accomplish this perimeter by simply adding the length and width and then multiplying the result by two.
In this problem,
Total perimeter = 2.1 + 5.1 + 2.1 + 2.5 + 2.7 + 7.8
= 22.3 ft
Thus, the perimeter has been calculated in total as 22.3 ft.
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Write the range of the graph using interval notation.
Answer:
[0, infinity)
Step-by-step explanation:
The range is the set of y-values.
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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A researcher post a newspaper ad for 20$ for 5 people
Answer:
100$
Step-by-step explanation:
5x20=100
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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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<-
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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Gina might buy 10 oranges and _ apples
The number of apples that Gina can buy is 15 apples.
How to illustrate the information?From the information, it was stated that the ratio of orange to apples is 2:3.
In this case, let the number of apples be represented by x
Therefore, the number of will be:
2/3 = 10/x
Cross multiply
2x = 10 × 3
2x = 30
Divide
x = 30 / 2
x = 15
Therefore, the number of apples that Gina can buy is 15 apples.
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The ratio of orange to apples is 2:3. Gina might buy 10 oranges and _ apples
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]
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.
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
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
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
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
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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Based on what you learned about Gerya in the article you read today, how can scientists study Mars if they can't directly
observe what is happening there?
I
Even though scientists can't directly observe what is happening on Mars, they can send satellites to orbit Mars which can document the various aspects of Mars and its geography.
How can we observe Mars?Thanks to massive strides in space technology, humans have been able to study Mars all the way from Earth without having to observe the planet directly.
The main way they can do this is by positioning satellites around Mars which will orbit the planet. These satellites will record and observe things such as the composition of the atmosphere of Mars and how its terrain works.
In conclusion, scientists can use satellites to observe Mars.
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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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On a test of 80 items, Pedro got 91% correct. (There was partial credit on some items.) How many items did he get correct? incorrect?
Answer:
Step-by-step explanation:
to find this answer you have to know how to make a percent of something to a normal value so to make 91% to a decimal value you divide by 100. That is 0.91. Then you multipy 0.91 x 80=72.8
He got 72 questions right
How many cubes of dimensions 15, 30 and 15 cm will be need to form a cube? please give step by step answer to write in exam
4 cuboids of dimensions 15, 30, and 15 cm will be needed to form a cube
The volume of the cuboid is l×b×h where l is length, b is breath and h is the height
The volume of given cuboid = l b h
= 15× 30 ×15
= 6750 cm3
The volume of a cube is a3 where a is the edge of the cube
The edge of the cube can be 30cm
The volume of cube= [tex]a^{3}[/tex]
= [tex]30^{3}[/tex]
= 27000 [tex]cm^3[/tex]
To find out the number of cuboids to be required to form a cube will be the volume of the cube divided by the volume of a cuboid
No of cuboids required = (volume of the cube)/(volume of the cuboid)
= 27000/ 6750
= 4
So, 4 cuboids of 30 ×15 ×15 are required to make a cube whose edge is 30cm
The correct question is How many cuboids of dimensions 15, 30, and 15 cm will be needed to form a cube
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