solve and express the solution set in simplest form. 8x-2/9 = 2/1
Final answer:
The solution to the equation 8x-2/9 = 2/1 is obtained by multiplying both sides by 9, adding 2 to both sides, dividing by 72, and simplifying the fraction to get x = 5/18.
Explanation:
To solve the equation 8x-2/9 = 2/1, we first want to isolate the variable x. Here are the steps to do this:
Multiply both sides of the equation by 9 to eliminate the denominator on the left side, which gives us 72x - 2 = 18.
Add 2 to both sides to get 72x = 20.
Divide both sides by 72 to solve for x, resulting in x = 20/72.
Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4. The solution in simplest form is x = 5/18.
A total of
276
tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?
Final answer:
The number of adult tickets sold for the school play was 92, found by setting up an equation where the number of adult tickets plus twice the number of adult tickets equals the total of 276 tickets sold.
Explanation:
Calculating the Number of Adult Tickets Sold
The student is asked to find out how many adult tickets were sold for the school play, given that a total of 276 tickets were sold and the number of student tickets was two times the number of adult tickets sold. Let's denote the number of adult tickets as x and the number of student tickets as 2x. The total number of tickets is the sum of adult and student tickets which can be represented as:
x + 2x = 276
Combining like terms, we get:
3x = 276
To find the value of x, we divide both sides by 3:
x = 276 / 3
x = 92
Therefore, the number of adult tickets sold was 92.
5 -2 (4a + 1) + 3a = 13 what is (a) equal to a) - 6/5 b) - 2 c) 2 d) 6/5
The solution of the equation 5 -2 (4a + 1) + 3a = 13 is 2/3.
What is an equation?An equation is an expression that indicates the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given the equation as follows;
5 -2 (4a + 1) + 3a = 13
Therefore, solving the equation
3(4a+1)+3a=13
12a+3+3a=13
15a+3=13
15a=10
a=2/3
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70 POINTS!
{Questions 54 & 58}
The function f is one to one. Find to inverse. State the domain & the range of f & f^-1. Graph f & f^-1, & y=x on the same coordinate axes.
Show work please.
The inverse of the function f is denoted by f -1 (if your browser doesn't support superscripts, that is looks like f with an exponent of -1) and is pronounced "f inverse". Although the inverse of a function looks like you're raising the function to the -1 power, it isn't. The inverse of a function does not mean the reciprocal of a function.
InversesA function normally tells you what y is if you know what x is. The inverse of a function will tell you what x had to be to get that value of y.
A function f -1 is the inverse of f if
for every x in the domain of f, f -1[f(x)] = x, andfor every x in the domain of f -1, f[f -1(x)] = xThe domain of f is the range of f -1 and the range of f is the domain of f -1.
Graph of the Inverse FunctionThe inverse of a function differs from the function in that all the x-coordinates and y-coordinates have been switched. That is, if (4,6) is a point on the graph of the function, then (6,4) is a point on the graph of the inverse function.
Points on the identity function (y=x) will remain on the identity function when switched. All other points will have their coordinates switched and move locations.
The graph of a function and its inverse are mirror images of each other. They are reflected about the identity function y=x.
Twenty, which is 4 more than half, of the students in Bryan’s homeroom have tickets to attend the school’s musical. Choose Yes or No to tell whether each of the following equations can be used to find the number of students in Bryan’s homeroom.
The equations that can be used to find students with tickets is given as m/2 + 4 = 20. The correct options are (B) and (D).
How to write a linear equation?A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.
Suppose the number of students in homeroom be m.
Then, as per the question the equation can be written as,
m/2 + 4 = 20
It can also be written as,
4 = 20 - m/2
Hence, the required equation for the given case is m/2 + 4 = 20.
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The complete question with all the options is attached here.
13/40 as a decimal and percent
Answer:
Step-by-step explanation:
13/40 as a decimal = 0.325
0.325
40√ _ 130
120
_100
80
_200
200
13/40 as percent
13/40 x 100% = 0.325 x 100% = 32.5%
Describe the image of D first reflected across line l, then across line m.
Answer:
Let's approach this step by step.
First, reflect D across line l.
From there, reflect that image across line m.
Your final image should be the letter D.
Check out the image provided.
Hope this helped someone!
Step-by-step explanation:
................
what is the cosine ratio for ∠F? p.s. show how you got your answer!
Answer:
cosF = [tex]\frac{3}{5}[/tex] is the answer.
Step-by-step explanation:
In a right angle triangle cosine of any angle = [tex]\frac{Base}{Hypotenuse}[/tex]
In the given triangle base or adjacent side of the angle is = 6
Hypotenuse given as 10
So by putting the values of hypotenuse and base in the formula
∠F = [tex]\frac{6}{10}=\frac{3}{5}[/tex]
Therefore cosine of angle [tex]cosF=\frac{3}{5}[/tex] is the answer.
simplify 28-(8+4). (4-2).
The value of 28-(8+4). (4-2) is 4
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
28-(8+4). (4-2)
=28-(32-16+16-8)
=28-24
=4
Therefore, the value of the algebra will be 4
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To simplify 28-(8+4)·(4-2), calculate the operations within the parentheses first, resulting in 28-12·2. Multiplying 12 by 2 gives 24, and subtracting this from 28 yields the simplified answer, which is 4.
Explanation:The question requires us to simplify the expression 28-(8+4)·(4-2). We start by simplifying the operations inside the parentheses:
Next, we multiply the results from the parentheses:
Lastly, we subtract this value from 28:
Therefore, the simplified expression is 4.
How to find the x intercepts of f(x)=-2x^2+x+5
Find the value of x. Then find the measures of B and C
state the degree of the polynomial xy+3x2-7+x
The general form of the equation of a circle is x2+y2−4x−8y−5=0.
What are the coordinates of the center of the circle?
Enter your answer in the boxes.
( , )
Answer:
(2,4)
Step-by-step explanation:
your banking cupcakes for the school dance and your recipe makes 24 cupcakes and needs 2 cups of milk . you need to make 288 cupcakes how many quarts of milk will you need
∠1 and ∠2 are a linear pair. m∠1 = x - 29, and m∠2 = x + 61. Find the measure of each angle.
Answer:
1= 45
2= 135
Step-by-step explanation:
(did it on usatp)
2/5 of house household own pets . Of the household pets 1/3 have cats. What is the fraction of the household own cats
Fraction of household owning pets = [tex] \frac{2}{5} [/tex]
[tex] Fraction \; of \; household \; owning \; cats \; \\\\=\; \frac{1}{3} \; of\; Fraction \; of\; household\; owning \; pets \\\\=\frac{1}{3} \times\frac{2}{5} \\ \\Multiply \; numerator\; with\; numerator\; and\; denominator\; with\; denominator\\\\= \frac{1 \times 2}{3 \times 5}= \frac{2}{15} [/tex]
Conclusion:
The fraction of the household own cats is two-fifteenth
Trigonometric Identities Help!?
Your cousin has a goat in his backyard, tied with a 4 foot rope. The goat can move in a circular motion the length of the rope. What is the area of the backyard where his goat can eat the grass? Hint: The 4 foot rope represents the radius of the circle.
1. What equation can be used to calculate the area of the yard that his goat can eat the grass?
2. What is the area of this circle in your cousin’s backyard?
3. What would the new area be if he decides to use a 5 foot rope?
A trail is 7/12 mile long, which trail is shorter, than 7/12
3/8,5/6,3/4,2/3
Among the given options, the trail which is shorter than 7/12 is 3/8
Determining the magnitude of a fractionFrom the question, we are to determine which trail is shorter than 7/12
To determine which of the given fractions is shorter than 7/12, we will express all the fractions in a common denominator
The given fraction are
3/8, 5/6, 3/4, 2/3
Using a common denominator of 48,
7/12 = 28/48
For the given options,
3/8 = 18/48
5/6 = 40/48
3/4 = 36/48
2/3 = 32/ 48
Now, we will compare their numerators. The fraction which has a numerator that is smaller than the numerator in 28/48 is the fraction smaller than 7/12.
Among the fraction, 18 is the smallest of the numerators and it is lesser than 28.
18/48 corresponds to 3/8
Hence, the trail which is shorter than 7/12 is 3/8
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what is the ratio of 12 percent
Last week, maria drove 231 miles. This week, she drove k miles. Using k, write an expression for the total mumber of miles she drove in two weeks?
The expression for the total number of miles Maria drove in two weeks is 231 + k miles.
Explanation:In order to find the total number of miles Maria drove in two weeks, we first need to find the sum of the miles she drove last week and the miles she drove this week.
Last week, Maria drove 231 miles.
This week, she drove k miles.
Therefore, the expression for the total number of miles she drove in two weeks is 231 + k miles.
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A rabbit weighed 4,305.6 grams. What is this weight in kilograms?
Final answer:
To convert 4,305.6 grams to kilograms, divide the gram value by 1000, resulting in 4.3056 kilograms, since there are 1000 grams in a kilogram.
Explanation:
The question asks to convert the weight of a rabbit from grams to kilograms. To perform this conversion, we need to know that 1 kilogram is equal to 1000 grams. Thus, we can convert the rabbit's weight by dividing the total grams by 1000 to get the weight in kilograms.
The rabbit weighed 4,305.6 grams. To convert this to kilograms, we divide by 1000:
Divide 4,305.6 by 1000.The result is 4.3056 kilograms.Thus, the weight of the rabbit is 4.3056 kilograms.
if y = 6x - 3 which of the following see represents possible inputs and outputs of the function represented as ordered pairs
roberto has 12 tiles. each tile is 1 square inch. he will arrange them into a rectangle and glue 1-inch stones around the edge. how can roberto arrange the tiles so that he uses the least number of stones?
Answer:
the answer is 4 and 2
Step-by-step explanation:
3(10+2j) please help me
What does x equal (x/4)+12=38
Which step in the construction of copying a line segment ensures that the new line segment has the same length as the original line segment?
Answer:
The steps to copy a line segment are given below:
1. Lets start with a line segment AB that we have to copy.
2. Now mark a point C. below or above AB, that will be one endpoint of the new line segment.
3. Now, put the compass tip on point A of the line segment AB.
4. Spread the compass up to point B, so as the compass width is equal to length of AB.
5. Without changing the compass width, now place the compass tip on the point C that you made in step 2.
6. Now, draw an arc roughly without changing the compass settings. Mark that point D. This will form the new line segment.
7. Draw a line from C to D.
Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.
What is the value of the leading coefficient a if the polynomial function P(x) = a(x + b)2(x − c) has multiplicity of 2 at the point (−3, 0) and also passes through the points (2, 0) and (0, 36)?
answers:
−2−3336
A survey asks 48 randomly chosen students if they plan to buy a school newspaper this week. Of the 48 surveyed,32 plant to buy a school newspaper. If 360 students bought papers,predict the number of students enrolled at the school.
The number of students enrolled at the school is 540.
A survey asks 48 randomly chosen students if they plan to buy a school newspaper this week. Of the 48 surveyed, 32 plan to buy a school newspaper. If 360 students bought papers, predict the number of students enrolled at the school. To solve this, we use a proportion based on the survey results to predict the total enrollment. The proportion of students who plan to buy the newspaper based on the survey is 32 out of 48, which simplifies to 2 out of 3 when reduced. If 360 students actually bought the paper, and assuming the proportion holds for the entire school, we can set up the equation:
2/3 = 360 / total students
To find the total number of students, solve for 'total students':
total students = 360 × 3 / 2
total students = 540
Therefore, based on the survey results and the actual number of newspapers bought, we can predict there are 540 students enrolled at the school.
NAME_____________________________________DATE_________________PER._______
TRAPEZOIDS
RSTV is an isosceles trapezoid. Decide whether each statement is TRUE or FALSE.
Justify your answer.
1. TRUE or FALSE
Why?
TR ⊥ SV
2. TRUE or FALSE
Why?
∠RVT ≅ ∠STV
3. TRUE or FALSE
Why?
∠SRV & ∠TVR are
supplementary.
WXYZ is an isosceles trapezoid with bases WZ and XY and median MN. Use the given
information to solve each problem.
4. MN = ____________ Find MN if WZ = 11 and XY = 3.
5. m∠XMN = ____________ Find m∠XMN if m∠WZN = 78°.
6. XY = ____________ If MN = 10 and WZ = 14, find XY.
7. x = ____________ What is the value of ‘x’ if m∠MWZ = (15x –5)° and m∠WZN = (90 – 4x)°?
8. x = ____________ If m∠XWZ = (2x – 7)° and m∠XYZ = 117°, find
the value of ‘x’.
9. x = ____________ If MN = 60, XY = 4x – 1, and WZ = 6x + 11, find
the value of ‘x’.
10. x = ____________ If MN = 10x + 3, WZ = 11, and XY = 8x + 19,
find the value of ‘x’.
11. x = ____________ If MN = 2x + 1, XY = 8, and WZ = 3x – 3, find
the value of ‘x’.
Can someone do this for me? im having a hard time and I have a 42 in math rn and I just need these done cause they are late.. if anyone likes geometry then here you go
Answer:NAME: Nzube Erobu DATE: 02/ 06 / 2020
Step-by-step explanation: With reference to the attached document, below:
1) False, the lines linking between TR and SV are diagonals
2) True, ∠RVT = ∠ STV because they have the same right angled triangles.
3) True, because they separate triangles that have all angles in each triangle summing up to 180°
4) (11 + 3)/2 = 14/2= 7
7) (15x - 5)° + (90 - 4x)° = 180°
(15x - 4x + 90 - 5)° = 180°
( x + 85)° = 180°
∴ x = 180° - 85° = 95°
8) (2x - 7)° + 117° = 180°
2x° +117° - 7° = 180°
2x° + 110° = 180°
2x = 180° - 110°
∴ x = 70°/2 = 35°
9) 4x - 1 + 6x + 11 = 60
4x + 6x + 11 -1 = 60
10x + 10 = 60
10x = 60 - 10 = 50
∴ x = 50/10 = 5
10) 18x + 19 - (10x + 3) = 11
18x - 10x + 19 - 3 = 11
8x + 16 = 11
8x = 11 - 16 = - 5
∴ x = - 5/8
11) 2x + 1 + 3x - 3 = 8
2x + 3x - 3 + 1 = 8
5x - 2 = 8
5x = 8 + 2= 10
∴ x = 10/5 = 2