The fraction 19/8 on the graph is located between the integers 2 and 3, exactly at the decimal 2.375.
How to convert a fraction to decimal?A fraction is converted to decimal applying a proportion, which is the division of the numerator of the fraction by the denominator of the fraction.
The fraction in this problem is given as follows:
19/8.
For which:
The numerator is of 19.The denominator is of 8.Hence the equivalent decimal is given as follows:
19/8 = 16/8 + 3/8 = 2 + 0.375 = 2.375.
Which is between 2 and 3 on the number line.
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A. Write an equation that shows the relationship of 30% of 140 is x
b. Write an equation that shows the relationship 64% of y is 40
c. 45% of x is 72. Find the value of x
A. The equation is: x = (30/100) * 140
B. The equation is: y = (100/64) * 40
C. The value of x is 160.
A. To write an equation that shows the relationship of 30% of 140 is x, use the formula: x = (percentage/100) * 140
So for this case, we have:
x = (30/100) * 140 = 42
So the equation is: x = (30/100) * 140
B. To write an equation that shows the relationship of 64% of y is 40, use the formula:
y = (100/percentage) * 40
So for this case, we have:
y = (100/64) * 40 = 62.5
So the equation is: y = (100/64) * 40
C. To find the value of x, given that 45% of x is 72, use the formula:
x = (100/percentage) * 72
So for this case, we have:
x = (100/45) * 72 = 160
So the value of x is 160.
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In making the key chain, Sara uses the pattern of beads 3 times. After the key chain is complete, what fraction of the beads in the key chain are white and blue added together?
Blue=5 beads
Red= 6 beads
white=4 beads
Altogether= 15 beads
When the key chain is complete the fraction of the chains that are white and blue added together would be 10 / 15
How to solve for the fractionIn this question. we have the number of white = 4 beads
We have the number of blue = 6 blues
The total number of beads including red is given as 15 when it is addeed together.
Then we would have: addition of Blue and white = 6 + 4 = 10
Then fraction would be 10 / 15
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Graph the inequality in a coordinate plane. -X+4y>-12
Need help!!!
Answer:
Step-by-step explanation:
THE DARK IS GONNA BE RIGHT OVER LEWFT TO PLAY THE Gme
Michelle bought a car that costs $25,800 and put a down of $8,000 on it. The car loan is for 60 months and has an interest rate of 3.99%. How much will she actually pay for the car? What will her monthly payment be?
Please show you’re work and be specific for both questions. Due at 10 pm!!
Answer:
$20239.6
Step-by-step explanation:
The amount financed for the car is $25,800 - $8,000 = $17,800.
To find the monthly payment, you can use the formula:
M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1]
where M is the monthly payment, P is the amount financed, i is the monthly interest rate (3.99%/12), and n is the number of payments (60 months).
So,
i = 3.99%/12 = 0.00399
n = 60
M = $17,800 [ 0.00399(1 + 0.00399)^60 ] / [ (1 + 0.00399)^60 – 1]
M ≈ $337.31
So, Michelle will make monthly payments of $337.31 for 60 months.
To find the total amount that Michelle will pay for the car, you can multiply the monthly payment by the number of payments:
$337.31 x 60 = $20239.6
So, the total amount that Michelle will pay for the car is $20239.6
Which iS a correct solution for the following system of Inequalities
The solution for the given system of inequalities is the ordered pair (-0.43,4.15).
What is an inequality?
In Algebra, an inequality is a mathematical statement that uses the inequality symbol to depict the relationship between two expressions. An inequality sign has non-equal expressions on both sides. It signifies that the expression on the left should be more or smaller than the expression on the right, or vice versa.
We are given a graph on which there are two inequalities plotted
As the first step, we need to frame the equations of both from the points.
For the blue line, we have points (0,2) and (-1,7)
So, using slope-intercept form, we get the equation as
y+5x≥2
For the red line, we have points (0,4) and (3,3)
So, using slope-intercept form, we get the equation as
y+0.33x >4
Now, in order to find the solution, we will subtract both the equations
On subtracting, we get
⇒(y+5x) - (y+0.33x) = 2 - 4
⇒y+5x - y-0.33x = -2
⇒4.67x = -2
⇒x = -0.43
Substituting this value in the equation, we get
⇒y+5(-0.43) = 2
⇒y-2.15 = 2
⇒y = 4.15
Hence, the solution for the given system of inequalities is the ordered pair (-0.43,4.15).
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Fill in the blank question.
Cynthia made 37 out of 48 free throws last season. Based on this relative frequency, how many free throws could she be expected to make this season if she has 58 attempts? Round to the nearest whole number.
free throws
Answer:
45
Step-by-step explanation:
You want to know the expected number of free throws Cynthia will make in 58 attempts, if her success rate is 37 out of 48.
FractionWe assume the number of successful free throws is proportional to the number of attempts:
37/48 = x/58
x = 37/48·58 ≈ 45
Cynthia could be expected to make 45 free throws this season.
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Increase £64 by 5%.
An increase of £64 by 5% is equal to £67.2.
What is a percentage?In Mathematics, a percentage can be defined as any number that is expressed as a fraction of hundred (100). This ultimately implies that, a percentage indicates the hundredth parts of any given number.
In order to increase 64 Pounds by five percent (5%), we would have to multiply the given amount of money by one hundred and five percent (105%) because it denotes a percentage increase:
Percentage increase = 64 × 105/100
Percentage increase = 64 × 1.05
Percentage increase = £67.2
In conclusion, we can logically deduce that the final amount of money is equal to £67.2.
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Convert each equation from slope-form to standard form
The conversion of the equation from slope-form to standard form is 2x + y = 1.
What is the slope-intercept form?In Mathematics, the slope-intercept form of a line is generally modeled by using this linear equation:
y = mx + b
Where:
m represents the slope.b represents the y-intercept.x and y are the data points.Generally speaking, the standard form of a linear function is is generally modeled by this mathematical expression:
Ax + By = C
Where:
A, B, and C represents a number, numeral or numerical value.
Next, we would convert the given linear function in slope-intercept form to standard form as follows:
2x + y = 1.
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19.2 + X = -60.7
Solve for X
Answer:
-79.9
Step-by-step explanation:
-60.7-19.2=-79.9
Answer: -79.9
Step-by-step explanation:
Subtract 19.2 from both sides of the equation to isolate the X.
0 + X = -60.7 - 19.2
X = -79.9
You can also check your answer by plugging in X into the equation and seeing if it equals -60.7
A taxi charges a flat fee for four dollars + 2.25$dollars per mile. How much will it cost to travel 8.7 miles.
Answer:
r
Step-by-step explanation:
r
How do you do substitution in algebra
Answer: The method of substitution involves three steps:
Step-by-step explanation:
Solve one equation for one of the variables.
Substitute (plug-in) this expression into the other equation and solve.
Substitute the value into the original equation to find the corresponding variable. here i helped ya
Which rule describes the transformation shown?
Note that the rule that describes the transformation shown is: (x,y) → (x+7,-y)(Number 2)
A transformation is a broad phrase covering four distinct methods of changing the shape and/or location of a point, line, or geometric figure. The Pre-Image is the original shape of the item, and the Image is the final shape and location of the object after the transformation.
Thus, with regard to the transformation above,
At Point A: The original coordinate of point A was (-6,-6).
The coordinate after the transformation is A'(1,6), which eliminates option 3.
At Point B:
The original coordinate of point B was (-2,4).
After the transformation, we have B'(5,-4), which eliminates option 1 and option 4. It is therefore right to state that (x,y) → (x+7,-y) is the correct representation of the transformation.
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Full Question:
The missing options are:
Which rule describes the transformation shown?
1. (x,y) → (-y, x+7)
2. (x,y) → (x+7,-y)
3. (x,y) → (-x, y+7)
4. (x,y) → (y+7, -x)
Solve each trigonometric function IN THE INTERVAL [0, 360).
17.) sec x + tan x = 1
The solution of the trigonometric function in the interval is x = 0
What is a trigonometric function?A trigonometric function is an equation that contains the trigonometric ratios.
How to solve the given trigonometric function?Given the trigonometric function secx + tanx = 1, we proceed to solve it as follows.
secx + tanx = 1
Using the trigonometric identity tan²x + 1 = sec²x
⇒ secx = √(1 + tan²x)
So, substituting this into the equation, we have that
secx + tanx = 1
√(1 + tan²x) + tanx = 1
√(1 + tan²x) = 1 - tanx
Squaring both sides of the equation, we have that
√(1 + tan²x) = 1 - tanx
√(1 + tan²x)² = (1 - tanx)²
1 + tan²x = 1 - 2tanx + tan²x
Substracting 1 from both sides, we have that
1 - 1 + tan²x = 1 - 1 - 2tanx + tan²x
0 + tan²x = 0 - 2tanx + tan²x
tan²x = - 2tanx + tan²x
Substracting tan²x from both sides, we have that
tan²x - tan²x= - 2tanx + tan²x - tan²x
0 = -2tanx + 0
0 = -2tanx
tanx = 0/-2
tanx = 0
taking inverse tan, we have that
x = tan⁻¹0
x = 0
So, the solution is x = 0
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Monica has a triangular piece of fabric. The height of the triangle is 11 inches and the triangle's base is 6 inches. Monica says that the area of the fabric is 66 in2. What error did Monica make? Explain your answer by entering the correct area of the fabric. Monica forgot to multiply by
The area of the triangle is 33 square inches.
What is a triangle?'A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees.'
According to the given information we have height of the triangle is 11 inches and the triangle's base is 6 inches. Monica says that the area of the fabric is 66 .
Area of the triangle = (1/2) × 6 × 11
= 33 squared inches
Monica, when calculating the area of the triangle, missed out on multiplying 5 to the product of base and height.
Hence, we can conclude, the correct area of the triangle is 33 squared inches.
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hi i need help with this question :)
Answer:
Chance of flipping heads: 1/2, because there are 2 total outcomes
Chance of rolling a 1: 1/6, because there are 6 total outcomes
Probability of getting both: (1/2) x (1/6)
(1/2) x (1/6)
1/12 is the probability that you will flip a heads and roll a 1.
A toy store sells accessories to go with the latest action figure the store projects that it will sell a certain number of accessories every box of a dozen action figures it orders let d represent one box of a dozen action figures
What is the total distance Jane travels biking and running? Include units with your answer.
Jane covers a combined 28 miles on her bike and run.
What is an expression?A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. It is possible to multiply, divide, add, or subtract in math.
An expression is a means to include operations like addition, subtraction, multiplication, and division in a statement that has more than two variables or numbers.
An example of an expression is 2 + 3 x y = 7.
Those are
Jane rides a total of 16 miles.
Jane covers 12 miles on her run.
the combined distance Jane covers while jogging and riding.
= 16 + 12
= 28 miles
Thus,
Jane covers a combined 28 miles on her bike and run.
The complete question is:
Jane is training for a triathlon. After swimming a few laps, she leaves the health club and bikes 16 miles south. She then runs 12 miles west. Her trainer bikes from the health club to meet jane at the end of her run. What is the total distance Jane travels biking and running?
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What are
the solutions of x2 - 6x + 5 = 0?
Answer:
X = 5
X = 1
Step-by-step explanation:
You have to do this:
x^2 - 6x +5 = 0
(x-1)(x-5) =0
X = 5
X = 1
Remember that the middle variable has to be added together, so -1 + (-5) = -6.
I hope this was able to help you out :D
Answer:
x = 5, x = 1
Step-by-step explanation:
We can first figure out what digits add to -6 and multiply to 5.
In this case, -5 and -1 will add to -6, and -5 times -1 will equal to 5.
Therefore, we can create this equation:
y = (x-5)(x-1)
Since the problem asks for the solutions, we need to set the equation equal to 0:
(x-5)(x-1) = 0
This will be set to two other equations:
(x-5) = 0
(x-1) = 0
We can solve these:
x = 5
x = 1
(Typically, we can use the diamond method and/or box method to solve these equations)
Select the label of the function g(x) as a vertical stretch or a vertical compression of the parent function, f(x), and whether it is reflected about the x-axis.
g(x) = −1. 4(9)x, f(x) = 9x
A vertical compression, no reflection
B vertical stretch and reflection
C vertical stretch, no reflection
D vertical compression and reflection
g(x) is the vertical stretch and reflection about the x-axis. Hence option (B) is the correct answer.
Vertical compression by a factor M: g(x) = m*f(x) (m<1)
m = -1.4
it means for given value of xg(x) < f(x)
Vertical stretch by a factor m: g(x) = (1/m)*f(x) (|m|>1)
hence given vlaue of x g(x) > f(x)
reflection about x axis : y = -f(x)
So, In the given plot, we can say that g(x) is a reflection of f(x) about the x-axis,
and g(x) > f(x) for any value of x it denotes stretch
Therefore, g(x) is the vertical stretch and reflection about the x-axis.
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Slove for y 8.4+y=10.7
The value of y from the equation is 2.3
What is a Linear Equation?A linear equation is one in which the highest power of the variable is always equal to 1. It is also called a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Where x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.
8.4 + y = 10.7
y = 10.7 - 8.4
y = 2.3
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...........................
Answer: Number 4
Step-by-step explanation:
5/6 = 0.83333...
-9 5/6 = -9.8333333..., which is number 4
find the sum of these polynomials. (4x^2+3x-1) + (x^2-5x-6)=
The sum of the given polynomials is 5x² - 2x - 7.
What are Polynomials?Polynomials are mathematical expressions which consist of one or more terms involving variables and coefficients connected with operations like multiplication, subtraction, addition and natural number powers of variables.
The given polynomials are 4x² + 3x - 1 and x² - 5x - 6.
We have to add the given polynomials to find the sum.
(4x² + 3x - 1) + (x² - 5x - 6)
Rearranging with adding the like terms,
(4x² + x²) + (3x - 5x) + (-1 - 6) = 5x² - 2x - 7
Hence 5x² - 2x - 7 is the sum of the given polynomials.
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A container has a capacity of 20 litres. It is filled with wine whose density is 0.8kg/litre. What is the mass of the wine?
The mass of the wine can be found by multiplying the density of the wine (0.8 kg/litre) by the volume of the wine (20 litres). The mass of the wine is 16 kg.
What makes for an excellent density example?Its density is how much "stuff" can fit into a certain quantity of space. For instance, a block of the more resilient, lighter element gold (Au) will have a higher density than a block of the more substantial element lead (Pb) (Au). Styrofoam blocks are not as dense as bricks. Mass per unit volume serves as its definition.
We use the word "density" to indicate how much space (or "volume") an object or substance occupies in relation to the amount of matter contained therein (its mass). Density can also be defined as the quantity of mass per unit of volume.
mass = density x volume
mass = 0.8 kg/litre x 20 litres
mass = 16 kg
So, the mass of the wine is 16 kg.
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lan's car can go 117 miles on 3 gallons of gas. During a drive last weekend, ian used 4
gallons of gas. How far did he drive? Use pencil and paper. Explain how the problem changes if you were given the distance iandrove last weekend instead of how much gas used.
Answer:
156 miles
Step-by-step explanation:
First of all we got,
3 gallons of gas used to drive 117 miles
that mean's
1 gallons of gas =117/3 miles
that is 39 miles
we need to find how far Ian's car can go with 4 gallons of gas
that is 4*39 which gives us 156 miles..
Given: ABCD is a parallelogram and angle ABC is a right angle
Prove: AC is congruent to BD
For the given parallelogram, AC is congruent to BD
The term parallelogram in math is defined as a two-dimensional geometrical shape whose sides are parallel to each other.
Here we have know that ABCD is a parallelogram and angle ABC is a right angle.
And we need to proved that AC is congruent to BD.
=> AC = BD
To show that, ABCD is a rectangle if the diagonals of a parallelogram are equal
To show ABCD is a rectangle we have to prove that one of its interior angles is right angled.
Here we have know that in ΔABC and ΔBAD,
Here we all know that the common side that is BC and BA and here we have also know that the sides AC and AD as Opposite sides of a parallelogram are equal.
Then it can be written as,
=> AC = BD
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B and C are sets of real numbers defined as follows.
Write B U C and B C using interval notation.
If the set is empty, write .
B= {x|x>3}
C= {x|x≤5}
1. The union of set B and C, BUC using interval notation is (3, ∞) U (-∞, 5]
2. The intersection of set B and C, B∩C using interval notation is (4, 5]
1. How do I determine BUC?We'll begin by obtaining the elements of set B and C. Details below:
B = {x| x > 3} = All numbers greater than 3 to infinity. This is written as: (3, ∞)C = {x| x ≤ 5} = All numbers lesser than or equal to 5 to infinity. This is written as: (-∞, 5]With the above information we can determine BUC in interval notation as follow:
B = (3, ∞)C = (-∞, 5]BUC =?BUC = (3, ∞) U (-∞, 5]
2. How do I determine B∩C?We can obtain B∩C in interval notation as follow:
B = (3, ∞)C = (-∞, 5]B∩C =?B∩C = (3, ∞) ∩ (-∞, 5]
B∩C = (4, 5]
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Complete question:
B and C are sets of real numbers defined as follows.
Write BUC and B∩C using interval notation.
If the set is empty, write Ø.
B= {x|x>3}
C= {x|x≤5}
Helps please solve for angle???
The sine of an angle of a right-angled triangle is the ratio of its perpendicular (that is opposite to the angle) to the hypotenuse.
What is the formula to find sin of any angle?Let's review some information regarding the sin function before learning the sin formula. The sine function, often known as the sin function, is a periodic function in trigonometry.
The ratio of the hypotenuse's length to the perpendicular's length in a right-angled triangle is another way to describe the sine function. Sin is a periodic function that has a period of 2 and a domain and range of (, ), respectively.
To determine the sides of a triangle, use the sin formula. The ratio of the perpendicular of a right-angled triangle to the hypotenuse is known as the sine of the angle.
hypotenuse/perpendicular = sin.
For every time sin() = sin(), sin( + 2n) = sin()
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help pls i need to finish my aleks topics
Find the volume of a cone with a base radius of 3m and a height of 10 m. Write the exact volume in terms of π, and be sure to include the correct unit in your answer.
(Please no links!!!)
The volume of the cone with the given radius of the base and height is given by 30π cubic meters ( in terms of π ).
Radius 'r' of the base of the cone is equal to 3m
Height 'h' of the cone is equal to 10m
Volume 'V' of a cone is given by :
V = ( 1 / 3 ) × π × r² × h
Substitute the value of radius and height of the cone in the formula we get,
⇒ V = ( 1 / 3 ) × π × ( 3 )² × ( 10 )
⇒ V = 30π cubic meters ( in terms of π )
Therefore, the volume of the cone for the given radius and the height is equal to 30π cubic meters ( in terms of π ).
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Tomika and Mark had $3,800 in medical expenses and paid an additional $8,009 for medical insurance. The insurance covered 60% of the medical expenses. The IRS allows medical and dental expense deductions for the amount that exceeds 7.5% of a taxpayer's adjusted gross income. If their adjusted gross income is $101,598, how much can they claim as a medical deduction?
Tomika and Mark claim a medical deduction in the amount of $1,839.8.
What is the percentage?
A number or ratio that can be expressed as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The percentage, therefore, refers to a part per hundred. Per 100 is what the word percent means. It is represented by the symbol “%
Given that the gross income is $101,598
Medical insurance = 7.5 % of $101,598
= 7.5% x $101,598
= $7,619.88.
The insurance covered 60% of the medical expenses.
Medical deduction claim = $7,619.88 - (100% - 60%)x $3,800
= $7,619.88 - 40% x $3,800
= $7,619.88 - $1,520
= $6,099.88
Therefore, they can claim a medical deduction in the amount of $1,839.8.
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