Answer:
None of the answers are correct, because 12/15=4/5, it's equivalent to 12 divided by 15.
Step-by-step explanation:
What is the sum of 12 over 3 plus 2 over 3 ?
Answer:
The Answer is 4 [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Since both fractions have like denominators , you can just add them:
12/3 + 2/3 = 14/3
Since 14/3 is improper fraction, it should be turning to a mixed number:
14 can go into 3, 4 times since 4 times 3 is 12. 14 - 12 is 2, so it will be your numerator.
4 2/3
What is the theoretical probability of a coin
Answer:hfgjvggunycdvjk8nyunyunyunyunyunyunyunyunyunyunyunyunyunyunyunyunyunyunyunyum
Step-by-step explanation:
Answer: probility that it lands on
Head up is 1/8 or 12.5%
Step-by-step explanation:
F(x)=2x+6
G(x)=-5x-9
Find the product of f and g.
A.-10x^2-54
B.-10x^2-48x-54
C.-10x^2-12x-54
D.-10x^2+48x-54
The product of f(x) = 2x + 6 and g(x) = -5x - 9 is found by multiplying out the terms, resulting in -10x^2 - 48x - 54, which corresponds to option B.
Explanation:The student is asking to find the product of two functions f(x) = 2x + 6 and g(x) = -5x - 9. To find the product, we multiply the two functions together:
f(x) * g(x) = (2x + 6) * (-5x - 9)
Distribute each term in the first function by each term in the second function:
2x*(-5x) + 2x*(-9) + 6*(-5x) + 6*(-9)
= -10x^2 - 18x - 30x - 54
Combine like terms:
= -10x^2 - 48x - 54
Therefore, the correct answer is B. -10x^2 - 48x - 54.
The length of a rectangle is 3 (1)/(6) cm longer than the width. The perimeter of the rectangle is 15 (1)/(3) cm. What are the width and length of this rectangle?
For this case we have that by definition, the perimeter of a rectangle is given by:
[tex]P = 2l + 2w[/tex]
Where:
l: It is the length of the rectangle
w: It is the width of the rectangle
According to the statement we have to:
[tex]l = w + 3 \frac {1} {6} = w + \frac {19} {6}\\P = 15 \frac {1} {3} = \frac {46} {3}[/tex]
The length and perimeter are expressed in centimeters.
Substituting we have:
[tex]\frac {46} {3} = 2 (w + \frac {19} {6}) + 2w\\\frac {46} {3} = 2w + \frac {38} {6} + 2w\\\frac {46} {3} = 2w + \frac {19} {3} + 2w\\\frac {46} {3} = 4w + \frac {19} {3}\\\frac {46} {3} - \frac {19} {3} = 4w\\\frac {27} {3} = 4w\\[/tex]
[tex]9 = 4w\\w = \frac {9} {4}[/tex]
Thus, the width of the rectangle is [tex]\frac {9} {4}[/tex] centimeters.
The length is:
[tex]l = w + \frac {19} {6} = \frac {9} {4} + \frac {19} {6} = \frac {54 + 76} {24} = \frac {130} {24} = \frac {65} {12}[/tex] centimeters.
Answer:
[tex]l=\frac{65}{12}[/tex] centimeters
[tex]w=\frac{9}{4}[/tex] centimeters
Answer:
The length of the triangle is [tex]\frac{65}{12} cm[/tex] and the width is [tex]\frac{9}{4} cm[/tex]
Step-by-step explanation:
Given
Length of the Rectangle = [tex]3\frac{1}{6}[/tex] longer than the width
Perimeter of the Rectangle = [tex]15\frac{1}{3}[/tex]
Required
What are the width and length of the rectangle.
Let L represent the length of the rectangle, W represent the width of the rectangle and P represent the Perimeter.
So, we have that
L = [tex]3\frac{1}{6}[/tex] + W
P = [tex]15\frac{1}{3}[/tex]
Perimeter of a rectangle is calculated by 2( L + W)
So,
P = 2( L + W) becomes
[tex]15\frac{1}{3} = 2(3\frac{1}{6} + W + W)[/tex]
[tex]15\frac{1}{3} = 2(3\frac{1}{6} + 2W)[/tex]
Convert fractions to improper fractions
[tex]\frac{46}{3} = 2(\frac{19}{6} + 2W)[/tex]
Open Bracket
[tex]\frac{46}{3} = 2 * \frac{19}{6} + 2 * 2W[/tex]
[tex]\frac{46}{3} = \frac{19}{3} + 4W[/tex]
Make 4W the subject of of formula
[tex]4W = \frac{46}{3} - \frac{19}{3}[/tex]
[tex]4W = \frac{46 - 19}{3}[/tex]
[tex]4W = \frac{27}{3}[/tex]
[tex]4W = 9[/tex]
Make W the subject of of formula
[tex]W = \frac{9}{4}[/tex]
Recall that
L = [tex]3\frac{1}{6}[/tex] + W
So, [tex]L = 3\frac{1}{6} + \frac{9}{4}[/tex]
[tex]L = \frac{19}{6} + \frac{9}{4}[/tex]
[tex]L = \frac{38 + 27}{12}[/tex]
[tex]L = \frac{65}{12}[/tex]
Hence, the length of the triangle is [tex]\frac{65}{12} cm[/tex] and the width is [tex]\frac{9}{4} cm[/tex]
7. Find the value of a. The diagram is not to scale.
(1 point)
a.) 36°
b.) 144
c.) 54
d.) 126°
Answer:
The correct answer is B. 144°
Step-by-step explanation:
Let's recall that in a trapezium the bases are parallel and one of its properties is that the two angles on the same side are supplementary, that is the sum of the angles of two adjacent sides is equal to 180°.
Upon saying that, we can find out the value of a and b, this way:
∠a = 180 - 36
∠a = 144
∠b = 180 - 113
∠b = 67
But the question is regarding ∠a. Then the correct answer is B. 144°
Compare in hours: 27 hours to 3 days. Write the ratio as a fraction in lowest terms
Answer:
27:72
Step-by-step explanation:
First I would convert three days to hours. 24×3=72
Answer: 27:72
The ratio of the two times will be 3 / 8.
What is a ratio?
A ratio in mathematics shows how many times one number is contained in another. For instance, if a dish of fruit contains eight oranges and six lemons.
The ratio of oranges to lemons is eight to six. The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.
Given that compare in hours: 27 hours to 3 days. The ratio will be calculated as:-
In 3 days there are 72 hours.
Ratio = 27 / 72 = 3 / 8
Therefore, the ratio of the two times will be 3 / 8.
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What is the equation of the line that passes through the point (-1, -5) and has a slope of -2?
y = -2x + 11
y = -2x + 7
y = -2x -7
y = -2x - 11
Answer:
y = -2x -7
Step-by-step explanation:
y + 5 = -2 (x +1)
y + 5 = -2x -2 . move 5 to the other side by subtracting from both sides.
y = -2x -7
PLZ HELP What is the value of x in the equation -6x = 5x + 22 -22,-2,2,22
Answer:
-2
Step-by-step explanation:
-6x=5x+22
-6x-5x=22
-11x=22
x=22/-11
x=-2
The Atlanta Traffic Commission needs to know how much space the Ferris Wheel takes up.
A)What is the AREA formula for a circle?
B)Show your work to find the AREA of the Ferris Wheel. Don't forget to add your square units!
Answer:
a) A=π(r×r)
Where π=constant pie of 3.143
r= half of diameter
b) 31420 square units
Step-by-step explanation:
The Atlanta Traffic Commission needs to know how much space the Ferris Wheel takes up.
A)What is the AREA formula for a circle?
A=π(r×r)
Where π=constant pie of 3.143
r= half of diameter
B)Show your work to find the AREA of the Ferris Wheel. Don't forget to add your square units
A=π(r×r)
=3.142×100×100
=31420 square units
The formula for the area of a circle is A=πr². To find the area of a circular object, like a Ferris Wheel, you need to know the radius. If the radius is 10 units, then A=π(10)² = 314 square units.
Explanation:The subject of this question is Mathematics and it's a Middle School level question. It's about calculating the area of a circle, which in this case is the Ferris Wheel.
A) The formula for the area of a circle is Pi times the radius squared (A=πr²). Pi (π) is approximately 3.14 and the radius (r) is the distance from the center of the circle to the outside of the circle.
B) To find the area of the Ferris Wheel, you'll need to know the radius. Let's assume the radius of our Ferris Wheel is 10 units. Plugging these values into the formula we have: A=π(10)² = π * 100 = 314 square units. The unit of measurement for the area depends on the unit used for the radius. If the radius was in meters, then the area is in square meters, if the radius was in feet, then the area is in square feet, and so on. If no units is given, we just call it 'square units'.
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Best answer gets brainliest!
Answer:
I'm Going With A.) Hope It Helps
A 4-pack of batteries costs $5.16. At this price, what is the cost of one battery?
Answer:
$1.29
Step-by-step explanation:
5.16 divided by 4
....................
Answer:
Option A) [tex]-6r^2s^4t^3[/tex] is correct
Therefore the result is [tex]\frac{18r^4s^5t^6}{-3r^2st^3}=-6r^2s^4t^3[/tex]
Step-by-step explanation:
Given expression is [tex]\frac{18r^4s^5t^6}{-3r^2st^3}[/tex]
To find the result of the given expression:
That is solve the fractional expression as below:
[tex]\frac{18r^4s^5t^6}{-3r^2st^3}[/tex]
[tex]\frac{18r^4s^5t^6}{-3r^2st^3}=\frac{-6r^4s^5t^6}{r^2st^3}[/tex]
[tex]=-6r^4s^5t^6.r^{-2}s^{-1}t^{-3}[/tex] ( using the properties [tex]\frac{1}{a^m}=a^{-m}[/tex] and [tex]a^m.a^n=a^{m+n}[/tex])
[tex]=-6r^{4-2}s^{5-1}t^{6-3}[/tex]
[tex]=-6r^2s^4t^3[/tex]
Therefore [tex]\frac{18r^4s^5t^6}{-3r^2st^3}=-6r^2s^4t^3[/tex]
Therefore the result is [tex]-6r^2s^4t^3[/tex]
Therefore option A) [tex]-6r^2s^4t^3[/tex] is correct
Which equation shows the quadratic formula used correctly to solve 5x2 + 3x - 4 = 0 for x?
- 3+ √(3) ² - 4 (6) (-4)
2(5)
3+ (3) +45)(-4)
X
3+ (3)2-4(5)(-4)
OX=
- 3+ √(3)² + 4 (5)(-4)
205)
The quadratic formula used to solve the equation [tex]5x^{2} +3x-4=0[/tex] is [tex]x=\frac{-3 \pm \sqrt{(3)^{2}-4(5)(-4)}}{2(5)}[/tex]
Explanation:
The equation is [tex]5x^{2} +3x-4=0[/tex]
The equation is of the form [tex]ax^{2} +bx+c=0[/tex]
Thus, [tex]a=5, b=3,c=-4[/tex]
To find the quadratic formula, the general formula to find the quadratic roots is [tex]x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}[/tex]
Hence, substituting the values of a,b,c in the formula, we get,
[tex]x=\frac{-3 \pm \sqrt{(3)^{2}-4(5)(-4)}}{2(5)}[/tex]
Thus, Option A is the correct answer.
The quadratic formula used to solve the equation [tex]5x^{2} +3x-4=0[/tex] is [tex]x=\frac{-3 \pm \sqrt{(3)^{2}-4(5)(-4)}}{2(5)}[/tex]
A climbing wall leaning against the top of a play structure forms a right triangle with the ground. The distance from the bottom of the climbing wall to the base of the play structure is 7 feet. If the climbing wall is 11 feet long, how high is the wall of the play structure?
The height of wall of play structure is 8.48 feet
Solution:
A climbing wall leaning against the top of a play structure forms a right triangle with the ground
The figure is attached below
ABC is a right angled triangle
AB is the height of wall of play structure
Let "x" be the height of wall of play structure
AB = x
BC is distance from the bottom of the climbing wall to the base of the play structure
BC = 7 feet
AC is the length of climbing wall
AC = 11 feet
We can apply pythogoras theorem for right angled triangle
Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.
Therefore, by above definition for right angled triangle ABC,
[tex]AC^2 = AB^2+BC^2[/tex]
Substituting the values we get,
[tex]11^2 = x^2 + 7^2\\\\121 = x^2 + 49\\\\x^2 = 121-49\\\\x^2 = 72\\\\\text{Take square root on both sides }\\\\x = \sqrt{72}\\\\x = 8.48[/tex]
Thus the height of wall of play structure is 8.48 feet
Answer:
8ft
Step-by-step explanation:
i did the test on T4L
Divide 67.9 by one hundred
Answer: .679
Step-by-step explanation:
move the decimal to the left two places.
Point slope form. (-5,-1) and (6,-5)
Step-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
(x₁, y₁) - point on a line
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have two points (-5, -1) and (6, -5). Substitute:
[tex]m=\dfrac{-5-(-1)}{6-(-5)}=\dfrac{-5+1}{6+5}=-\dfrac{4}{11}[/tex]
Put the value of a slope and coordinates of a point to the equation of a line:
[tex](-5,\ -1),\ m=-\dfrac{4}{11}\\\\y-(-1)=-\dfrac{4}{11}(x-(-5))\\\\y+1=-\dfrac{4}{11}(x+5)[/tex]
[tex](6,\ -5),\ m=-\dfrac{4}{11}\\\\y-(-5)=-\dfrac{4}{11}(x-6)\\\\y+5=-\dfrac{4}{11}(x-6)[/tex]
Suppose the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an individual whose final degree is a bachelors. Combined, two people with each of these educational attainments earn $122 thousand. Find the average yearly salary of an individual with each of these final degrees.
Answer:
average yearly salary of an individual whose final degree is a masters: $ 66 thousand
average yearly salary of an individual whose final degree is a bachelors: $ 56 thousand
Explanation:
You can set a system of equation using the following steps:
1. Name the variables:
average yearly salary of an individual whose final degree is a masters: xaverage yearly salary of an individual whose final degree is a bachelors: y
2. Set the equations that relate the variables:
the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an individual whose final degree is a bachelors:
equation (1): x = 2y - 46
combined, two people with each of these educational attainments earn $122 thousand:equation (2): x + y = 122
3. Solve the system:
x = 2y - 46 . . . equation (1)x + y = 122 . . . equation (2)Substitute equation (1) into equation (2)
2y - 46 + y = 122Solve for y:
3y = 122 + 463y = 168y = 168 / 3y = 56 (this means that the average yearly salary with a bachelors degree is $ 56 thousand).Subsitute the value on y in equation 1, to find the value of x:
x = 2y - 46 = 2(56) - 46 = 112 - 46 = 66.Thus, the average yearly salary of a person with a masters degree is $ 66 thousand.
Final answer:
Using a system of equations with the variables B (the average salary for a bachelor's degree) and M (the average salary for a master's degree), we solved to find that the average yearly salary for an individual with a bachelor's degree is $56,000 and with a master's degree is $66,000.
Explanation:
The problem at hand involves creating two algebraic equations to solve for the average yearly salaries of individuals with a bachelor's degree and a master's degree based on the provided information. Let the average yearly salary for an individual with a bachelor's degree be represented by B, and the salary for an individual with a master's degree be represented by M.
According to the problem, the average yearly salary of an individual with a master's degree is $46 thousand less than twice the salary of an individual with a bachelor's degree, so we can write the first equation as: M = 2B - 46.
The second equation comes from the fact that combined, their earnings amount to $122 thousand, so: B + M = 122.
Now, we can substitute the first equation into the second to solve for B: B + (2B - 46) = 122. Simplifying, we get 3B - 46 = 122. Adding 46 to both sides gives 3B = 168, and dividing by 3 yields B = 56. So, the average salary for someone with a bachelor's degree is $56,000.
To find the salary for a master's degree holder, we substitute B = 56 into the first equation: M = 2(56) - 46. That simplifies to M = 112 - 46, giving us M = 66. Hence, the average salary for someone with a master's degree is $66,000.
Kyle swan 450 yards in 5 minutes. What is the average number of yards he swam per minute?
Answer:
90
Step-by-step explanation:
450/5
Answer:
90
Step-by-step explanation:
450 / 5 = 90
Solve the equation using the order of operations.
5+{2×[(5−1)+6]}÷4
Answer:
The order of operations is PEMDAS
First step is to do everything is parenthesis or brackets
5+{2*[(5-1)+6]}/4
{2*[(5-1)+6]}
First you would go 5-1=4, because that is the first equation that is in parenthesis by itself.
{2*[4+6]}
Next you would go 4+6=10, because that is your next smallest bracket
{2*10}
Last you would go 2*10=20
Your equation now looks like this
5+{20}/4
In PEMDAS your next step is exponents, but we don't have any so we go on to the next one which is multiply/division
5+5
You would go 20/4=5
Last step is to add/subtract
5+5=10
Your final answer would be 10
Hope this helps ;)
Step-by-step explanation:
If $650 is invested for one year at 11% simple interest, how much interest is earned
Answer:
71.5
Step-by-step explanation:
650 / 100 = 6.5
6.5 x 11 = 71.5
A4 paper has a width is 21cm and a length of 30cm.
A5 paper has a length of 21cm.
What is the width of A5 paper??
Answer:
Ur answer
Step-by-step explanation:
If A4 paper has width 21cm and length of 30cm
Then,
A5 paper has a length of 21cm
So find the width,
A4 has width 30cm
so,
A5 must have half the answer
15cm
The width of A5 paper is 21cm, which is derived from the length of A4 paper, based on the standard ratio of the A series paper sizes.
The width of A5 paper can be determined using the properties of the standardized A series paper sizes. As A4 paper has dimensions of 21cm by 30cm and the A series has a height to width ratio of the square root of 2, when an A4 sheet is cut in half, it results in two A5 sheets.
Thus the length of A4 becomes the width of A5. To find the width of A5, we simply take the length of A4, which is 21cm in this case.
Therefore, the width of an A5 sheet is also 21cm, making the dimensions of A5 paper 21cm by 14.85cm (since half of 30cm is 14.85cm).
In the proportion 12/36=2/6 the terms that are called the means are..?
The terms that are called means are 2 and 36
Solution:
A proportion is simply a statement that two ratios are equal
Proportion is written as:
[tex]\frac{a}{b} = \frac{c}{d}[/tex]
In ratios, we can write as,
a : b = c : d
To find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.
[tex]\frac{a}{b} = \frac{c}{d}\\\\a \times d = b \times c[/tex]
Here, a and d are extremes
b and c are means
In the given proportion,
[tex]\frac{12}{36} = \frac{2}{6}[/tex]
[tex]12 \times 6 = 2 \times 36[/tex]
Here, 12 and 6 are extremes
2 and 36 are means
In the given proportion 12/36=2/6, the mean terms are 12 and 6. To verify the proportion, one can use the cross-products method, which confirms its correctness since the multiplication of means and extremes produces equal results.
Explanation:In the proportion 12/36=2/6, the terms that are known as the means are the two numbers that are on the inside of the proportion, which are 12 and 6 in this case. Proportions are made up of four terms, with the first and last terms called the extremes, and the two terms in the middle called the means. To solve a proportion and check if it is true, you can use the cross-products method, which involves multiplying the means and the extremes. If the cross-products are equal, then the proportion is true. In this example, 12 (the mean) multiplied by 2 (an extreme) is equal to 24, and 36 (the other extreme) multiplied by 6 (the mean) also gives 24, confirming that this proportion is correct.
6h^5+0h^4-12h^3+0h^3+0h=0
Step-by-step explanation:
We have,
[tex]6h^5+0h^4-12h^3+0h^3+0h=0[/tex]
To find, the value of h = ?
∴ [tex]6h^5+0h^4-12h^3+0h^3+0h=0[/tex]
⇒ [tex]6h^5[/tex] + (0)[tex]h^4[/tex] - 12[tex]h^3[/tex] + (0)[tex]h^3[/tex] + (0)h = 0
⇒ [tex]6h^5[/tex] + 0 - 12[tex]h^3[/tex] + 0 + 0 = 0
⇒ [tex]6h^5[/tex] - 12[tex]h^3[/tex] = 0
Taking 6 [tex]h^3[/tex] as common, we get
[tex]6h^3(h^2-2)[/tex] = 0
⇒6[tex]h^3[/tex] = 0 or, [tex]h^2[/tex] - 2 = 0
⇒ 6[tex]h^3[/tex] = 0 ⇒ h = 0
⇒ [tex]h^2[/tex] = 2
⇒ h = ± [tex]\sqrt{2}[/tex]
Hence, the value of h = 0, ± [tex]\sqrt{2}[/tex]
Find the length of the missing side of the triangle
A.) 28
B.) 100
C.) 10
D.) 48
Answer:
I have to guess c.) 10 I am not positive though
Step-by-step explanation:
What is the first step in determining if 6 is a solution to 3x-18?
Answer:
Substitute x = 6 into the equation 3x-18
Answer:
A.) Subsitute 6 for x in the equation.
Step-by-step explanation:
I’m smart :).
Molly made $192 one week from babysitting. She made $176 babysitting the next week. She is paid $8 an hour.
How many hours did Molly babysit in the two weeks?
Answer:
46 hours
Step-by-step explanation:
We are given the information;
Molly earned $192 in one weekAlso earned $176 in the next weekRate per hour is $8 per hourRequired to determine the number of hours;
We need to know that;
Number of hours = Amount earned ÷ rate per hour
Therefore;
First week;
Number of hours = $192 ÷ $8 per hour
= 24 hours
Next week
Number of hours = $176 ÷ $8 per hour
= 22 hours
Thus, number of hours she worked = 22 + 24
= 46 hours
Therefore, in the two weeks Molly baby-sited for 46 hours
How do you put the equation 2x+y=2 into slope intercept form
Answer:
Step-by-step explanation:
you put the equation in slope and intercept form by making y the subject of the formula
i.e
y = -2x + 2
-2 is the slope and 2 is the intercept
Answer:
Step-by-step explanation:
2x + y = 2
Making y as subject
y = - 2x + 2
And the equation is y = mx + c
Where m is slope = -2
Y intercept = 2
the member increased their elevation 290 feet during their hike this morning. now they are at an elevation of 450 feet
Answer:
160 good luck tho on whatever
Step-by-step explanation:
450-290
The question is about determining the initial elevation of a hiker's journey given the increase in elevation and the current elevation. The hiker started at an elevation of 160 feet before the hike.
The student is asking a question related to change in elevation during a hike. If a hiker increased their elevation by 290 feet and is currently at 450 feet, they must have started at an elevation of 160 feet that morning. This is calculated by subtracting the increase from the current elevation: 450 feet - 290 feet = 160 feet.
5r+7s-3(r+s)+4=
r=2 s=3
Answer:
(5)(2)+(7)(3)−3(2+3)+4
=20
What is the domain and range of y=-1/4(x)
Domain: [tex](-\infty, \infty)[/tex]
Range: [tex](-\infty, \infty)[/tex]
Explanation:
The function is [tex]y=-\frac{1}{4} x[/tex]
The domain of a function is the set of all input values for which the function is well defined. Generally, domain consists of all x-values of the function. Hence, the function [tex]y=-\frac{1}{4} x[/tex] is defined in the interval [tex](-\infty, \infty)[/tex].
The range of a function is the set of output values obtained by substituting the value of x in the function. Hence, the function [tex]y=-\frac{1}{4} x[/tex] is defined in the interval [tex](-\infty, \infty)[/tex].