Solve you may use fraction circle pieces to help you you don’t really have to use
Answers
1) Let's use the fraction circles then to solve this sum of fractions:
1) Note that since these fractions do not have the same denominator we can write out the following. Placing the LCM as the denominator\div
[tex]\begin{gathered} a)\frac{1}{2}+\frac{1}{4}=\frac{4\div2\times1+4\div4\times1}{4}=\frac{3}{4} \\ b)LCM(2,4)=4 \\ \frac{1}{2}+\frac{3}{4}=\frac{4\div2\times1}{4}+\frac{4\div4\times3}{4}=\frac{5}{4} \\ c)\text{LCM(4,}8)=8 \\ \frac{3}{4}+\frac{1}{8}=\frac{6+1}{8}=\frac{7}{8} \\ d)\text{LCM(}4,8)=8 \\ \frac{1}{4}+\frac{3}{8}=\frac{2+3}{8}=\frac{5}{8} \end{gathered}[/tex]Note that for 'c' and "d" we have made it faster. Since this is the same principle.
Related Questions
If sin 6A = cos 9A, then m/A is equal 1) 6 2) 36 3) 45 4) 1 1/2
Answers
Original expresion
[tex]\sin (6A)=\cos (9A)[/tex]Let's use the following relationship to determine the answer
[tex]\sin 6A=\cos (90-6A)[/tex]Now in the original expression
[tex]\begin{gathered} \cos (90-6A)=\cos 9A \\ 90-6A=9A \\ 90=6A+9A \\ 15A=90 \\ A=\frac{90}{15} \\ A=6 \end{gathered}[/tex]The answer would be A = 6
ASAP
forgot this too-
6. Use the data below to make a scatter plot in Desmos and find the exponential regression equation. Round to the nearest hundredth if necessary. Do not type spaces.
7. Using your equation from #6, find out how much the Fire Dragons comic book would be worth in 55 years.
Answers
Regression Equation y is 379.9996 ⋅1.04^x . Regression analysis is a set of statistical processes used in statistical modelling to estimate the relationships between a dependent variable and one or more independent variables.
What is Regression analysis ?Regression analysis is a set of statistical processes used in statistical modelling to estimate the relationships between a dependent variable and one or more independent variables.
Linear regression is the most common type of regression analysis, in which the line that best fits the data according to a specific mathematical criterion is found. The ordinary least squares method, for example, computes the unique line that minimises the sum of squared differences between the true data and that line.
This allows the researcher to estimate the conditional expectation of the dependent variable when the independent variables take on a given set of values for specific mathematical reasons. Less common types of regression employ slightly different procedures to estimate alternative location parameters or the conditional expectation across a larger set of non-linear models.
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Whats the vaule of W? Angles.
Answers
The value of w in the given equation is 57°
What are Vertically Opposite angles?When two lines intersect each other, then the opposite angles, formed due to intersection are called vertical angles or vertically opposite angles. A pair of vertically opposite angles are always equal to each other. Also, a vertical angle and its adjacent angle are supplementary angles, i.e., they add up to 180 degrees.
From the diagram the to lines intersect so the angle w and the angle 57 are facing each other, in geometry we say that vertical angles facing each other are equal.
Therefore, W = 57°( vertically opposite angles)
In conclusion the value of W in the diagram is 57°
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c=(5f-32)/9 solve for F
Answers
⇒They simply want you to make F the subject for the equation, since there are multiple variables in one equation we cannot solve for the exact values
[tex]c=\frac{(5f-32)}{9} \\c(9)=5f-32\\9c=5f-32\\5f-32=9c\\5f=9c+32\\\frac{5f}{5} =\frac{9c+32}{5} \\f=\frac{9c+32}{5}[/tex]
Given the following exponential function, identify whether the changerepresents growth or decay, and determine the percentage rate of increase ordecrease.y = 5700(0.94)
Answers
Explanation:
[tex]y=5700(0.94)^x[/tex]Using expontia
Identify the property being demonstrated for each expression.
3+ (5+7)=(3+5) + 7
(3)[5(7)]= (3)[7(5)]
5+0=5
Answers
Answer: The property being demonstrated for each expression is the commutative property of addition.
Step-by-step explanation:
Answer:
1.associative property, 2.commutative property, 3.identity property.
Step-by-step explanation: i got it right on edge
Answer the question thx
Answers
The height, h of the airplane to the nearest foot is 536 feet (option D).
What is the height of the airplane?The diagram shown is a right angled triangle. The take off point and the height of the plane form a right angled triangle.
Trigonometry would be used to solve of the height of the airplane. We are to determine the opposite side given the adjacent side and the angle of elevation.
Tan = opposite / adjacent side
Tan 15 = h / 2000
0.2679 = h / 2000
h = 2000 x 0.2679
h = 536 feet
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Ethan buys 3.2 pounds of peanuts at a local market. He pays $8.64. The next day, he buys 1.5 pounds of peanuts. The price per pound for peanuts is the same. How much money does Ethan pay.
Answers
Answer:
$4.05
Step-by-step explanation:
8.64÷3.2=2.7
1.5×2.7=4.05
(not very sure)
The cost of making a large circle is an amount in dollars and cents. The cost of making the smaller circle is 3/4 the cost of making the larger circle. Is the cost of making the smaller circle a rational or irrational number? Justify your answer.
Answers
The cost of making the smaller circle a rational number.
What is rational number?A number is rational if it has a terminating or repeating decimal; for example, 1/2 = 0.5. It is irrational if a number has a non-terminating and non-repeating decimal.
A rational number is one that can be written as P/Q, where P and Q are integers and Q = 0. However, an irrational number cannot be written in simple fractions. A rational number is 2/3, whereas an irrational number is ✓2.
It should be noted that in this situation, the cost of making the larger circle can be 4.0. The cost of making the small one will be:
= 3/4 × $4.0
= $3.0
This illustrates a rational number.
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It costs $2 to download a song and $12 to download an entire album. Jorge has $50 to spend on downloading music. Create an inequality that represents the number of songs (s ) and albums (a ) that Jorge could download.
Answers
Answer:
312
Step-by-step explanation:
42 43 312
how do i convert .035 into a fraction
Answers
Answer:
35/1000
Step-by-step explanation:
the 5 is in the thousandths place therefore it is over 1000
Answer:
you would make it a 7 for the top and 200 for the bottom
Step-by-step explanation:
Calculate the measure of angle T.
A - 100
B - 105
C - 110
D - 115
Answers
Answer:
b
Step-by-step explanation:
A long-distance telephone call from Center City to Smithville costs $3.25 for the first 3 minutes and $0.45 for each additional minute. How many minutes can a person talk if the cost is the call is to be $100.00?
Answers
By using linear equation, it is obtained that 218 minutes of phone call cost $100
What is linear equation?
At first it is important to know about equation
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A one degree equation is known as linear equation.
Here linear equation is used
A long-distance telephone call from Center City to Smithville costs $3.25 for the first 3 minutes and $0.45 for each additional minute
Let the total time for the telephone call be t minutes
So total cost for t minutes telephone talk = $(3.25 + 0.45(t - 3))
By the problem,
3.25 + 0.45(t - 3) = 100
3.25 + 0.45 t - 1.35 = 100
1.9 + 0.45 t = 100
0.45 t = 100 - 1.9
0.45 t = 98.1
t = 218 minutes
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suppose a 5 minute overseas call costs 5.91 and a 10 minute call costs 10.86. the cost of the call and length of the call are related. the cost of each minute is constant. How long can you talk on th phone if you only have 12.00 to spend on the call?
Answers
juanita makes leather lanyards to sell she charges a base fee and a cost per inch of the finished lanyard.
Answers
Answer
y = ½x + 5
If y is the total amount Juanita makes for x inches of finished lanyard,
Base fee = y-intercept = 5
Cost per inch = Slope = 0.5 = ½
Explanation
To write the expression for this, we need to write the equation for the line representing the whole function
The slope and y-intercept form of the equation of a straight line is given as
y = mx + b
where
y = y-coordinate of a point on the line.
m = slope of the line.
x = x-coordinate of the point on the line whose y-coordinate is y.
b = y-intercept of the line.
From the gaph, we can easily see that
b = y-intercept = point where the line crosses the y-axis = 5
For the slope, for a straight line, the slope of the line can be obtained when the coordinates of two points on the line are known. If the coordinates are (x₁, y₁) and (x₂, y₂), the slope is given as
[tex]Slope=m=\frac{Change\text{ in y}}{Change\text{ in x}}=\frac{y_2-y_1}{x_2-x_1}[/tex]For this question,
(x₁, y₁) and (x₂, y₂) are (2, 6) and (6, 8)
[tex]\text{Slope = }\frac{8-6}{6-2}=\frac{2}{4}=\frac{1}{2}=0.5[/tex]Recall,
y = mx + b
m = slope = 0.5 = ½
b = y-intercept = 5
y = ½x + 5
If y is the total amount Juanita makes for x inches of finished lanyard,
Base fee = y-intercept = 5
Cost per inch = Slope = 0.5 = ½
Hope this Helps!!!
what is the range of the function f(x)=3x^2+18x
Answers
Range of the function f(x) = 3x² +18x is [-27,∞).
What is the range of a function?
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.
Here, we have f(x) = 3x² +18x.
Let f(x) = y
⇒ y = 3x² +18x
⇒ y = 3(x²+6x)
⇒ y/3 = x²+6x
⇒ y/3 = x²+ 6x + 9 - 9
⇒ y/3 = (x+3)² - 9
⇒ y/3 + 9 = (x+3)²
⇒ (y+27)/3 = (x+3)²
Taking square root on both sides, we get
⇒ [tex]\sqrt{(y+27)/3}[/tex] = x+ 3
⇒ [tex]\sqrt{(y+27)/3} - 3[/tex] = x
Now since f(x) = y ⇒ x = f⁻¹(y)
⇒ f⁻¹(y) = [tex]\sqrt{(y+27)/3} - 3[/tex]
⇒ range = [-27,∞).
Therefore, range of the function f(x) = 3x² +18x was found to be [-27,∞).
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four students write algebraic math expressions and equations on their whiteboard. Which of the following students wrote expressions?
Answers
Answer:
Expressions: Student 1 and 4
Equations: Student 2 and 3
Step-by-step explanation:
Equations have an = sign. Expressions do not.
Solve the equation. 6(s + 2) − 5s = 16 + s − 4 how many solutions are there
Answers
Answer: 0=0
Step-by-step explanation: After simplifying the equation we get 0=0, and 0=0 has infinitely many solutions.
Answer:
it has many solutions :)
Write the equation of the line that has a slope of 1/3 and passes through the point (6,8).
Answers
We are asked to determine the equation of a line with a slope 1/3. The general form of a line equation is:
[tex]y=mx+b[/tex]Where "m" is the slope and "b" the y-intercept.
Now, we substitute the value of the slope:
[tex]y=\frac{1}{3}x+b[/tex]Now, to determine the value of "b" we will use the fact that the line passes through the point (x, y) = (
6, 8). Now, we plug in these values in the equation:
[tex]8=\frac{1}{3}(6)+b[/tex]Solving the product on the right side we get:
[tex]8=2+b[/tex]Now, we subtract 2 from both sides:
[tex]\begin{gathered} 8-2=2-2+b \\ 6=b \end{gathered}[/tex]Now, we substitute the value in the equation of the line:
[tex]y=\frac{1}{3}x+6[/tex]And thus we get the equation of the line.
In the table below, replace a with a value that will make the relation a function: 1 3 5 b(n) 9 8 9 11 a
Answers
Function:
A function is a relation in which each input (x) has only one output (y).
If any one input (x) has more than one output (y) then it is not a function.
As you can see from the given table, the value of (a) must be anything other than (2)
So we can set a value of 4 for (a)
Now if you notice, each input will have exactly one output value so the criteria of a function is satisfied.
So, the answer is 4
This algebraic expressions are not equivalent. Explain why they are not equivalent. X2-1/2+8x-x2-6x. 2x2-2x
Answers
The two given algebraic expressions x²-1/2+8x-x²-6x and 2x²-2x are not equivalent as on simplification the first expression is linear but the second expression is quadratic.
the first expression is :
x²-1/2+8x-x²-6x
now we simplify by grouping all the like terms
or, x² - x² + 8x - 6x - 1/2
or, 2x - 1/2 (this is linear as the highest power of the variable x is 1)
Now the second expression is :
2x²-2x (this is quadratic as the highest power of the variable x is 2)
Hence these two expressions are not equivalent.
In mathematics, statements comprising variables, numbers, or both, and at least two terms connected by an operator are referred to as expressions.
Numerical expressions, which just contain numbers, and algebraic expressions, which also contain variables, are the two types of expressions used in mathematics.
A variable is a symbol having an unknowable value. One constant, one variable, or a combination of variables and constants multiplied or divided can all be used to create a term. A coefficient in an equation is a number that has been further multiplied by a variable.
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The graph shows Elizabeth's speed during a 55-minute run. Elizabeth's Run 7 Speed (mph) Time (minutes) During which time interval did Elizabeth's speed increase? Select one o 5 to 10 minutes O 25 to 30 minutes O 15 to 25 minutes O O to 5 minutes
Answers
Elizabeth's speed increased during the 0 to 5 minute interval
This interval shown on the graph is indicated by the rising line on the vertical axis (y-axis).
The x-axis shows the time intervals graded in 5-minute intervals. the other options shows a flat line (no change in speed) and a downward line (reduction in speed).
The 0 to 5 minute period of her run however is a rising line which means incresing speed.
What is f(x)=(x-7.2)(x+7) in factored form
Answers
The function f(x)=(x-7.2)(x+7) is already in its factored form
How to determine the equation in factored form?From the question, we have the following equation that can be used in our computation:
f(x) = (x - 7.2)(x + 7)
When an equation has the form of
f(x) = (x - a)(x - b).....(x -n),
Then, the equation is already in its factored form
This means that the equation can not be further simplified, as the current form is its factored form
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The diameter of a bicycle wheel is 28 inches. A cyclist is pedaling at a rate of 2 revolutions per second. Find the linear speed of the wheel in feet per minute. MUST round answer to nearest tenth.
Answers
213.52 feet per minute is linear speed of the wheel in feet per minute of circumference of circle .
What is circumference?
The area that encircles a circle is known as its circumference. By calculating the length of time it would take to walk around the globe, we may determine the circumference of the planet.The park's circumference, which has the shape of a circle, is the length or border that it encompasses. The boundary's circumference is its length.The circumference of the wheel is 2*pi*radius = 2*3.14*26 = 37.7 inches.
d= 28 inches
r = 28/2 = 17 inches
1 rev = 2π radian
2 rev = 2 * 2π = 4π
π = 3.14
angular speed= 4 * 3.14 = 12.56
speed v = rw
v = 17 * 12.56
v = 213.52 feet per minute
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Find the point where the tangent line to Y=x^3 at x=0.6 crosses the x-axis.X-intercept =?
Answers
curve: Y=x^3
The equation of the tangent line is:
y =
Claire has a loyalty card good for a discount at her local grocery store. The item she wants to buy is priced at $27, before discount and tax. After the discount, and before tax, the price is $25.38. Find the percent discount.
Answers
The percent discount of the item in the grocery store if the item is priced at $27, before discount and tax and $25.38 after discount and before tax is 6%.
How to find percent discount?Price of item before discount and tax = $27Price of item after discount before tax = $25.38Percent discount = (Price of item before discount and tax - Price of item after discount before tax ) / Price of item before discount and tax × 100
= (27 - 25.38) / 27 × 100
= 1.62 / 27 × 100
= 0.06 × 100
= 6%
In conclusion, the percent discount of the item is given as 6%
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Define the Slope Intercept form of an equation. *
hurry
Answers
Step-by-step explanation:
I hope this is helpful for u
Casey and Jayden look for animal footprints in the woods.
Casey finds 18 footprints. Casey finds 2 times as many footprints
as Jayden. How many footprints does Jayden find?
Let f stand for the number of footprints Jayden finds.
Which bar model represents the problem?
Casey
Jayden
18
Jayden 18
Casey 18 18
Casey 18
Jayden 18 18
Jayden
Casey
f f
18
Answers
Answer:
9
Step-by-step explanation:
Casey = 18
Casey = 2 x James
Because both values for Casey are equal to Casey, they are also the same value
This can then be written as
18 = 2 x James
isolate James by himself by dividing both sides by 2 to get how many footprints James found
18 / 2 = 9
James = 9
Answer:
F or Jayne’s finds 36 Footprints
A set of points is shown on the graph.
Scatter plot with a point at negative 5 comma negative 1, a point at negative 2 comma 4, a point at 1 comma 9, a point at 3 comma 5, and a point at 4 comma 7.
Which of the following equations is the best model for a line of fit for the data?
y equals 1 fourth times x plus 5.
y equals negative 1 fourth times x plus 5.
y equals 3 fourths times x plus.
y equals negative 3 fourths times x plus 5.
Answers
y = 3/4x + 5 equations best fits the data as a line of fit.
Given that,
With a point at - 5 comma negative 1, a point at - 2 comma negative 4, a point at 1 comma 9, a point at 3 comma 5, and a point at 4 comma negative 7, a scatter plot is created.
We have to find which of the following equations best fits the data as a line of fit.
We know,
A scatter plot is a particular kind of graph that is used to visually display the values of two variables, with the resulting points indicating any associations (correlations) between the data set.
We can rationally conclude that an equation for the line of best fit (trend line) is given by y = 0.80x + 4.63 by carefully examining the graph that represents the provided data.
We can conclude that y = 3/4x + 5 is the equation that best fits the data as a line of fit.
Therefore, y = 3/4x + 5 equations best fits the data as a line of fit.
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The same salesman from the previous question earns a raise after working there for five years. What is his new flat rate salary (before commission) if he made $1000 in sales, still has his 15% commission on the amount in dollars of sales he makes, and took home $450 for the week?
Answers
When he made $1000 for the week, his 15% commission is;
[tex]\frac{15}{100}of1,000=150[/tex]It is known that he too $450 home for the week, then;
His new flat rate salary is $450 - $150 = $300