Answer:
Average= [tex]\frac{25}{72}[/tex]
Step-by-step explanation:
o find the average add up the values and divide the sum by the number of values.
Rewriting all values as fractions, rewriting any negatives if necessary and, setting up as an addition problem
= [tex]\frac{1}{8}[/tex] + [tex]\frac{1}{6}[/tex] +[tex]\frac{3}{4}[/tex]The least common denominator (LCD) is: 24.
Rewriting as equivalent fractions with the LCD:
= [tex]\frac{3}{24\\}[/tex] + [tex]\frac{4}{24}[/tex] + [tex]\frac{18}{24}[/tex]Rewriting numerators over the common denominator,
= [tex]\frac{3 + 4 + 18}{24}[/tex]Totaling the numerator:
= [tex]\frac{25}{24}[/tex]
Dividing by the number of values: 3
[tex]\frac{25}{24}[/tex] ÷3 =[tex]\frac{25}{24}[/tex] ×[tex]\frac{1}{3}[/tex] = [tex]\frac{25}{72}[/tex]
Average of the fractions is:
Average= [tex]\frac{25}{72}[/tex]
Solve the literal equation for x. State any
necessary restrictions on the letters
representing constants in the equation.
a (bx + c) = 0
determine the range of the following graph, help me please!!
Answer: Range: -9<=y<=-4
Step-by-step explanation:
Starts at (-5,-4), ends at (3, -9). Look at the y-coordinates
Range starts at y=-4, ends at y=-9. In the graph, there are no y-coordinates that are greater than -4 and less than -9.
Range: -9<=y<=-4
Answer:
-9 ≤ y ≤ -4
Step-by-step explanation:
Hello!
The range is the set of y-values that the graph goes through.
The minimum y-value of this graph is -9, and the maximum y-value is -4. Since the endpoints are filled in, we use the ≥ or ≤ symbols to write the inequality.
The inequality is -9 ≤ y ≤ -4.
Point B is on line segment
AC
. Given AB=3x, BC=4x+8, and AC=5x+10, determine the numerical length of
AC
.
Answer:
The length of AC is 15 units
Step-by-step explanation:
Help please Im confused becuz i got 19.4 but its wronggg
Answer:
20.75
Step-by-step explanation:
1cm=10mm
so:1mm=0.1cm
0.1/2=0.05
if it asks lower bound:
5.2-0.05=5.15 +
6.3-0.05=6.25 +
9.4-0.05=9.35
(x³- 3x²+2x+1)/x²-4x+4 dx (dx/dy) + (x²+4y-y²)/(²√4y+y²)
Step-by-step explanation:
y=1
x=1
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Question 3
1 pts
A survey was conducted by visiting a student parking lot to estimate the proportion of
cars that were red. Which of the following is NOT correct?
A. If another sample of cars was chosen, it is likely that a different proportion of cars that are red
would be obtained.
B. The sample would be representative of the population if 100 cars were chosen regardless if
randomization was used or not.
C. Even though a random sample was taken from cars in the parking lot, the sample may not be
representative of the cars driven by students because the decision to park in that particular lot is
self-selected.
D. If the sampled stall was empty, we can simply choose another stall, at random, to take its place
because it is not likely that the stall being vacant is related to a car being red.
The sample would be representative of the population if 100 cars were chosen regardless if randomization was used or not; this statement is not correct;
A survey was carried out by visiting a student parking lot to estimate the number of red cars.
If a different sample of cars was picked, the proportion of red cars would most likely be different. This statement is correct.
The sample would be representative of the population if 100 cars were chosen regardless if randomization was used or not. This statement is not correct because you select only 100 cars to represent whole population that too without randomization;
Despite the fact that a random sample was obtained from cars in the parking lot, the sample may not be representative.
because the decision to park in that particular lot is typical of the cars driven by students self-selected.
If the sampled stall was empty, we can simply choose another stall at random to take its place because the stall being unoccupied is unlikely to be associated to a red car.
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What are the solutions of this quadratic equation?
x² - 6x+2=0
OA.
O B.
OC.
2-3 ± √7
CD. 2-3 ± √11
-6 ± √7
x=3+√7
You may recall that the area of a rectangle is A=L⋅W, where W is the width and L is the length.
Suppose that the length of a rectangle is 4 times the width. If the area is 900 square feet, then what is the width of the rectangle, in feet?
Answer:
Width = 15 ft
Step-by-step explanation:
Given formula,
→ A = L × W
Let us assume that,
→ Length = 4x
→ Width = x
→ Area = 900 ft²
Then the value of width will be,
→ A = L × W
→ 900 = 4x × x
→ 4x² = 900
→ x² = 900/4
→ x = √225
→ [ x = 15 ft ]
Hence, the value of width is 15 ft.
Graph the line (-3,1) that is perpendicular to the line with the equation 2x+5y=10 what is the graph of the new line
the graph of the new line ,Graph the line (-3,1) that is perpendicular to the line with the equation 2x+5y=10.
Definition:Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter. Each object in a graph is called a node.
x = 3
The points are on a vertical line because they share the same x-coordinate. A vertical line has the equation x=constant. The x-coordinate of the points must match the constant:
x = 3 . . . . formula for the line
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Shirley and Pam, working together, can mow the lawn in 6
6
hours. Working alone, Pam takes three times as long as Shirley. How long does it take Shirley to mow the lawn alone?
Answer:
each takes 3 together 3x3=9
8 3/7 x 7 2/15 Add. Express your answer in lowest terms.
Answer:
Step-by-step explanation:
Step 1: Convert
8 3/7= 43/5
7 2/15= 10/15
Step 2: Multiply
43×107=4601
----------
5×15=75
[tex]\frac{4601}{75}[/tex]
Step 3: Convert to an improper fraction
[tex]\frac{4601}{15}= 61\frac{26}{75}[/tex]
Hence, our answer is 61 26/75
Find the area of the triangle. Show your reasoning. If you get stuck, carefully consider which side of the triangle to use as the base.
The area of the triangle is found as 12 unit².
What is defined as the triangle?A triangle is a three-sided polygon with three sides that closes a space.
The three sides are formed by lines, line segments, or rays (in just about any combination). Three vertices, or corners, are formed if three sides form or meet.A triangle's height or altitude is calculated by drawing a perpendicular line through one side to the opposite angle.The base is the side with which the altitude intersects wherever it is built.The formula for the area of the triangle is;
Area of triangle= ½ × base × height
The base is given as 6 units and the height is 4 units. (count 1 column of graph as 1 unit).
Put the values in formula.
Area of triangle = ½(6)(4)
Area of triangle = 12 unit.²
Therefore, the area of the triangle is found as 12 unit.²
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Shirley and Pam, working together, can mow the lawn in 6
6
hours. Working alone, Pam takes three times as long as Shirley. How many hours does it take Shirley to mow the lawn alone? Round your answer to two decimal places, if needed.
Shirley will take 8 hours to complete mowing the field alone.
We are given that Shirley and Pam, working together, can mow the lawn in 6 hours.
So, work done if 1 hour together = 1 / 6
Also, we are given that Pam takes three times as long as Shirley when she works alone.
Time taken by Pam = 3 times Time taken by Shirley.
Let the time taken by Shirley be y.
Job done in 1 hour = 1 / y
Time taken by Pam = 3 y
Job done in 1 hour = 1 / 3y
ATQ:
1 / y + 1 / 3 y = 1 / 6
4 / 3 y =1 / 6
24 = 3 y
y = 24 / 3
y = 8 hours.
Therefore, Shirley will take 8 hours to complete mowing the field alone.
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I need help with my homework
The lengths of the other two sides is 6 inches each.
The perimeter of any figure is sum of all the sides of the figure.
Here, we are given that the area of a triangle is 18 inches. Also, in the figure, we can see that the 3 sides of the triangle are-
6 inches, s inches and s inches.
Therefore, the perimeter of the given triangle will be-
Perimeter = 6 + s + s
⇒ 18 = 6 + s + s
Thus, the equation to find the lengths of the two sides is-
18 = 6 + 2s
18 - 6 = 2s
12 = 2s
2s = 12
s = 12/ 2
s = 6
Thus, the lengths of the other two sides is 6 inches.
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(b) If you put $7750 in the ATM each day, what percent of the days in a month should you expect to run out of cash?
The percent of the days in month that the cash will run out is given as: 23.33%. See the computation below.
What is the explanation that justified the above answer?Money put in ATM per day=$7750
We have to find the percent of days in a month you should expect to run out of cash.
From the given information
There are 7 days in which you run out cash more than $7750
Assuming that the total number of days in a month = 30
Hence, we can arrive at the above value by saying:
(Corresponding days/Total number of Days) * 100
From we above we state:
(7/30) * 100
= 23.33%
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Simplify : p^2-p-12/p^2-10p+24
Step-by-step explanation:
[tex] = \frac{ {p}^{2} - p - 12 }{ {p}^{2} - 10 + 24} \\ [/tex]
[tex] = \frac{ {p}^{2} - (4 - 3)p - 12 }{ {p }^{2} - (6 + 4)p + 6 \times 4} \\ [/tex]
[tex] = \frac{ {p}^{2} - 4p + 3p - 4 \times 3 }{ {p}^{2} - 6p - 4p + 6 \times 4 } \\ [/tex]
[tex] = \frac{p(p - 4) + 3(p - 4)}{p(p - 6) - 4(p - 6)} \\ [/tex]
[tex] = \frac{(p + 3)(p - 4)}{(p - 4)(p - 6)} \\ [/tex]
[tex] = \frac{p + 3}{p - 6} \\ [/tex]
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Find the future value (in dollars) of an 18-month investment of $4,300 into a simple interest rate account that has an annual simple interest rate of 5.1%.
keeping in mind that a year has 12 months, thus 18 months is really 18/12 of a year, so
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$4300\\ r=rate\to 5.1\%\to \frac{5.1}{100}\dotfill &0.051\\ t=years\to \frac{18}{12}\dotfill &\frac{3}{2} \end{cases} \\\\\\ A=4300[1+(0.051)(\frac{3}{2})] \implies A=4628.95[/tex]
Complete the missing values. (Hint 1 yard-3 feet)
2/ yd =
ft
Answer:
6 ft
Step-by-step explanation:
if 1 yard = 3 feet, you add +3 to the second one because its 2x more
Which polynomial represents the sum below?
+
2x² + 5x+4
5x2+
Answer:
????
Step-by-step explanation:
I don't get this
at all
please help me with this math homework
Answer:
Step-by-step explanation:
(2*9/5d*9)-(1*5/9d*5)
18/45d-5/45d
13/45d
in the u.s government a memeber if the senate serves for 4 years longer than a member of the House of Representatives. If a member of the House of Representatives serves for h years, write an expression for how many years a member of the senate serves .
A member of the senate will serve for (h+4) years.
An expression, in mathematics, is a finite set of combinations and/ or numbers and variables that accurately represents the the context in question. When two or more expressions are connected using the equality sign then an equation is formed.
Here, we are given that in the US government a member of the senate serves for 4 years longer than a member of the House of Representatives.
Also the House of Representatives serves for- h years
Thus, the number of years a member of the Senate will serve will be 4 more than the number h
= h + 4
Thus, a member of the senate serves for (h+4) years.
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if x=2 then solve |-3x - 5| + |-1 - x^2| + 2x^3
Answer:
32
_____
Work[tex]\left|-3\left(2\right)-5\right|+\left|-1-2^2\right|+2\cdot \:2^3\\\left|-3\cdot \:2-5\right|+\left|-1-2^2\right|+2\cdot \:2^3\\-3 \cdot 2 - 5 = -11\\\left|-11\right|+\left|-1-2^2\right|+2\cdot \:2^3\\-1 - 2^2 = -1 - 4 = -5\\\left|-11\right|+\left|-5\right|+2\cdot \:2^3\\|-11| = 11\\|-5| = 5\\2 \cdot 2^3 = 2 \cdot 8 = 16\\11+5+16\\=32[/tex]
_____
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Answer: Why is the question blank
Also the answer is 5.2
Step-by-step explanation:
The steel is more dense than lake water
Answer:
true
Step-by-step explanation:
That is a true statement.
The density of steel is approx. 7.85 g/cm³.
The density of water is approximately 1 g/cm³.
Create and solve a proportion: to find the cost of 4 hamburgers if 5 hamburgers cost $21.98.
Answer:
4/x = 5/21.98 ; x=17.584
Step-by-step explanation:
subes la x al otro lado , multiplicas el 21.98 con el 4 y luego lo divides entre 5, así resulta q x es igual a 17.584
Answer:
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What is the equation of the tangent of f(x) 3 X at (1, 3)?
The Equation of the tangent line is y = 4x - 1.
According to the statement
We have to find that the equation of the tangent of the line.
So, For this purpose, we know that the
Equation of the tangent line can be found using the formula y – y1 = m (x – x1), where m is the slope and (x1, y1) is the coordinate points of the line.
From the given information:
f(x) = 3 X at (1, 3)
Then
The tangent line of a curve y = f(x) is a line that touches the curve at a point (x0, y0). Its slope (m) is found by substituting the point where it is drawn in the derivative f'(x) and its equation is found by using y - y0 = m (x - x0).
From the given it is clear that the slope of the equation is a 3.
Then m = 3
then
y – y1 = m (x – x1)
Substitute the points here
y - 3 = 4(x - 1)
Then
y = 4x - 4 +3
y = 4x - 1.
So, The Equation of the tangent line is y = 4x - 1.
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Drag the decimal values to match the corresponding fraction values.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
1/3 =
1/2 =
1/4 =
3/4 =
2/3 =
to choose from: 0.50 0.75 0.25 0.66 0.33
please help
[tex]1/3 \longrightarrow 0.33 \\ \\ 1/2 \longrightarrow 0.50 \\ \\ 1/4 \longrightarrow 0.25 \\ \\ 3/4 \longrightarrow 0.75 \\ \\ 2/3 \longrightarrow 0.66[/tex]
6.1 Define the term inflation.
Answer:
the action of inflating something or the condition of being inflated.
"the inflation of a balloon"
ASTRONOMY
(in some theories of cosmology) a very brief exponential expansion of the universe postulated to have interrupted the standard linear expansion shortly after the Big Bang.
2.
ECONOMICS
a general increase in prices and fall in the purchasing value of money.
"policies aimed at controlling inflation"
You need 6 cups of fruit punch. use 2 cups of pineapple juice add 1 cup of cranberry juice. How many cups of orange juice should you add?
Answer:3
Step-by-step explanation:easy 2 cups of pj plus cranberry juice is 3, get 6 by adding 3 again
Help
Find a if A = 8a
Answer:
a(A) = 0
Step-by-step explanation:
