Expressing 1.9 as a quotient of integers is 19/10.
What is integers?An integer is a whole number (not a fractional number) that can be positive, negative, or zero. It is not a fraction, a decimal, or a percentage. A number such as 7, -11, or 0 is an integer. Integers are used in everyday life and are also used in computer programming.
This is equivalent to 1 9/10 which is a fraction. To write it as a quotient of integers, 19 is the numerator and 10 is the denominator. This means that if you take 19 parts of a whole and divide it into 10 equal parts, each part will be equal to 1.9.
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A guy wire runs from the top of a cell tower to a metal stake in the ground. Justin places a 12-foot tall pole to support the guy wire. After placing the pole, Justin measures the distance from the stake to the pole to be 12 ft. He then measures the distance from the pole to the tower to be 21 ft. Find the length of the guy wire, to the nearest foot.
The length of the guy wire, to the nearest foot is: 207 ft.
What is Pythagorean theorem ?
Pythagorean theorem can be defined as the square of hypothenuse is equal to sum of squares of base and adjacent
Given ,
The length of the guy wire, to the nearest foot is: 207 ft.
After sketching the information given, we have two similar right triangles, ΔABE and ΔCDE.
CD = 11 ft
DE = 2 ft
BD = 35 ft
Required:
Length of the guy wire (AE)
First, find AB:
Since ΔABE ~ ΔCDE, therefore,
AB/CD = BE/DE (proportional sides)
Plug in the values
AB/11 = (35 + 2)/2
AB/11 = 37/2
Cross multiply
AB = (37 × 11)/2
AB = 203.5 ft
Apply Pythagarean Theorem to find AE:
AE = √(AB² + BE²)
AE = √(203.5² + 37²)
AE = 207 ft (nearest foot)
Therefore, the length of the guy wire, to the nearest foot is: 207 ft.
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Dean ran 2.3 fewer kilometers than Sam. If Dean ran 6.8 km, how far did Sam run? A 2-column table with 4 rows. Column 1 is labeled Situation with entries increasing, difference, finding part of a total, sharing or grouping. Column 2 is labeled Operation with entries +, minus, times, divided by. Select all that apply. You know the difference in the distances the boys ran, so this is a subtraction problem. You are finding the total distance the boys ran, so this is an addition problem. Dean ran part of the distance Sam ran, so this is a multiplication problem. The correct equation is s + 2.3 = 6.8. The correct equation is s – 2.3 = 6.8. The correct equation is 2.3s = 6.8.
You know the difference in the distance the boys ran, so this is an subtraction problem. The correct expression is s - 2.3=6.8
What is Distance?
Length is measured in distance. For instance, the length of a road equals its distance.
The most popular units of measurement for distance in the metric system are millimeters, centimeters, meters, and kilometers.
A scalar quantity known as distance measures "how much ground an object has traversed" while moving. An object's total change in position is referred to as displacement, a vector variable that measures "how far out of place an object is."
How far did Sam run ?
Step1:
Dean ran 2.3 fewer kilometers than Sam. If Dean ran 6.8 km
Distance run by dean = 6.8 km
Distance run by dean = 2.3 fewer kilometers than Sam.
Let us assume that, distance run by same is s km
Step2:
Distance run by dean = s - 2.3
therefore,
s - 2.3 = 6.8
s = 6.8 + 2.3
s = 9.1 km .
Hence, The correct equation is s – 2.3 = 6.8 .
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Please answer I need help
a rectangle which measure 48 cm by 27cm has the same area as square. find which figure has the greater perimeter and by how much .
Answer:
Perimeter of rectangle is larger by 6 cm
Step-by-step explanation:
area of rectangle = 48 * 27 = 1296
√1296 = 36
length of square = 36 cm
Perimeter of square = 36 + 36 + 36 + 36 = 144
Perimeter of rectangle = 48 + 48 + 27 +27 = 150
Perimeter of rectangle is larger by 6 cm
what is the answer!!!??
The answer is in the image attached below. Sorry for the goofy looking arrow.
How would you graph y =- 2?
The graph is a horizontal line where all values for y are -2.
Now, According to the question:
What is called graph?
A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things.
Generally, graphs show a function, for example,
y = x −3. In that case, one would draw a graph by substituting an x value into the equation and connecting the points.
In this case, however, there are no x values in the equation. Therefore, regardless of the number on the x-axis, the y value will remain the same (−2). Therefore, the line will be a horizontal line with a slope of zero and a y-intercept of −2.
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pls help me with this question
$87.50is the total cost of the materials.
What is the total cost of the materials?The total cost of materials for installing crown molding in a large banquet hall can be calculated by determining the total length of the molding needed.The banquet hall has dimensions of 8x+7 ft, 6x+9 ft, 6x+9 ft, and 8x+7 ft for the four sides of the hall, respectively.The perimeter of the hall can be covered using 30 total sections of molding, represented by 30x.Since the crown molding costs $2.65 per foot, the total cost of materials can be found by multiplying the total length of the molding needed by the cost per foot.In this case, the total cost of materials for installing crown molding in the large banquet hall is (8x+7)(6x+9)(6x+9)(8x+7) × $2.65, which is equal to $9,099.45.To learn more about the total cost of the materials refer to:
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which of the following statements do you believe are true? in a normal distribution - a) approximately 70% of the values are within one standard deviation from the mean, b) twenty-seven percent of the values are between one and two standard deviations from the means. c) 2.1% of the values are between -2 and -3 standard deviations from the mean. d) .1% of the values are 3 of higher standard deviations from the mean. e) all the alternatives are correct. f) none of the alternatives are correct. g) only a and b are correct. h) only c and d are correct.
The correct statement is "only a and c are correct" so option g is the answer.
The statement that is true in a normal distribution is "approximately 70% of the values are within one standard deviation from the mean" (a), and "2.1% of the values are between -2 and -3 standard deviations from the mean" (c).
These statements are true because of the properties of a normal distribution, also known as a Gaussian distribution or bell curve. In a normal distribution, the majority of values cluster around the mean, with fewer and fewer values as you move further away from the mean.
The statement "twenty-seven percent of the values are between one and two standard deviations from the mean" (b) is not true, as the correct percentage is approximately 27.7% (68-95-99.7 rule).
The statement "0.1% of the values are 3 or higher standard deviations from the mean" (d) is also not true, as the correct percentage is approximately 0.3%.
Therefore, the correct statement is "only a and c are correct".
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Find the sum of all 3-digit multiples of 10
The sum of all 3-digit multiples of 10 is 49500.
What are arithmetic and geometric sequence?An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference
d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.
In a geometric sequence numbers are written in the same constant ratio(r).
It means every next number is a multiple of a common constant and the previous number.
r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.
The first 3-digit number divisible by 10 is 100, and the last 3-digit number divisible by 10 is 990.
The total number of such digits are,
= (990 - 10)/10 + 1.
= 980/10 + 1.
= 98 + 1.
= 99.
We know sum of an arithmetic series when the first term and the last term is given is,
= [n(a + l)/]2.
= [99(10 + 990)]/2.
= (990 + 98,010)/2.
= 49500.
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30 pointssssss math pls help
Answer:
45 acres of wheat
Step-by-step explanation:
let w represent wheat then corn is 3w , so
w + 3w = 180
4w = 180 ( divide both sides by 4 )
w = 45
3w = 3 × 45 = 135
that is
135 acres of corn and 45 acres of wheat
(14+x)/(x^(2)-4) is undefined when x equal
The value of the expression given is undefined when x equals 2 and -2.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given expression is,
(14+x)/(x^(2)-4)
This can be written as,
[tex]\frac{14+x}{x^{2} -4}[/tex]
The value of the expression is undefined when the denominator equals 0.
Denominator is [tex]x^{2} -4[/tex].
[tex]x^{2} -4[/tex] = 0
[tex]x^{2}[/tex] = 4
x = √4
x = ± 2
Hence when the value of x is +2 or -2, the expression is undefined.
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Help me with my Ixl diagnostic pls
Write your answer as a fraction or as a whole or mixed number.
9 3/5 + 4 4/5
Step-by-step explanation:
see attachment
hope this helps!
-Rishabh
Answer:
14 2/5----------------------------
Add up the mixed numbers in below steps:
9 3/5 + 4 4/5 = Split mixed numbers to whole and fraction9 + 4 + 3/5 + 4/5 = Add up13 + 7/5 = Convert the fraction to mixed number13 + 1 + 2/5 = Add up14 + 2/5 = Convert to mixed number14 2/5 AnswerPlease help how do I do this because I don’t know
Graph the equation y = 2
Answer:
Horizontal line on the "2" line of the y axis.
Step-by-step explanation:
y=2 means y is constantly at 2, so it would be a horizontal line there.
Would two units higher be the y-axis or the slope???
Answer: y-axis
Step-by-step explanation:
The y-axis determines the "height" of the graph, so 2 units higher would mean 2 units higher on the y-axis.
The beach play space has an area of 8 2/5 square yards. Molly has designed 3 1/10 of this space to be water. How much space is left over for sand? Select all the parts that make up your answer.
The space left for the sand is [tex]5\frac{3}{10}[/tex] square yards.
What are Mathematical operators??In mathematics, an expression is a group of numbers and operations. The components of a mathematical expression that perform an operation are as follows:
Operands: An operation uses operands, which are numbers. Depending on the type of operation, different terms are applied to the operands.
Given the total space for beach play = [tex]8\frac{2}{5}[/tex] square yards
[tex]8\frac{2}{5}[/tex] square yards = 42/5 square yards
and space for water = [tex]3\frac{1}{10}[/tex] square yards
[tex]3\frac{1}{10}[/tex] square yards = 31/10 square yards
let us assume the rest of the area for the sand
area of sand = total area - space for water
area of sand = 42/5 - 31/10
area of sand = (42(2) - 31)/0
area of sand = (84 - 31)/10
area of sand = 53/10
area of sand = [tex]5\frac{3}{10}[/tex] square yards
Hence the space left is [tex]5\frac{3}{10}[/tex] square yards.
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Express the following fraction in simplest form, only using positive exponents.
-6s-2/-3(84)²
The numerator (top) and denominator (bottom) of a fraction are said to be in their simplest form when they share no factors. Example :
-6s-2/-3(84)²
How to Find the Simplest Form of a Fraction?If a fraction's top and bottom are whole numbers that are coprime to one another, it is said to be in its simplest form.It's easy to figure out how to simplify any fraction. By reducing the fraction's numerator and denominator by the greatest common factor that splits them both in half, we can simplify the numerator and denominator. The denominator and numerator should both remain whole numbers after division. Reducing fractions is another name for this fractional arithmetic procedure.Because the common component "c" is subtracted from both the numerator and the denominator, if the fraction is, for instance, ac/bc, then the simplified form of ac/bc will be a/b.ac/bc = a/b
Example :
-6s-2/-3(84)²
-6s-2/-3(84)^2 = 0
-6·s-2/-3·(84)^2 = 0
6s = 4704
s = 4704/ 6 = 784
s = 784.
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Practice Function A . y = 3x21.
Function B.
x. 1 2 3 4
y. −1 1 3 5
Which function is linear?
On graphing function A: 3x - 21 and function B: y = 2x - 3, it is known that both are linear as they both form a straight line.
What is a linear function?
A linear function is a function that, when plotted, creates a straight line. Typically, it is a polynomial function with a maximum degree of 1 or 0. Nevertheless, calculus and linear algebra are also used to represent linear functions.
The function A is given as 3x - 21.
The function B can be written in slope intercept form -
y = mx + b
where m is the slope and b is the y-intercept.
m = (y2-y1)/(x2-x1)
m = [1-(-1)]/(2-1)
m = 2/1
m = 2
To find y-intercept substitute x = 1 and y = -1.
y = mx + b
-1 = 2(1) + b
-1 = 2 + b
b = -1 - 2
b = -3
Hence the equation for function B is y = 2x - 3.
Therefore, on graphing function A and B it can be seen that both are linear.
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too late
timed out and gave new question
Answer:
f(- 2) = 5
Step-by-step explanation:
f(- 2) with x = - 2 in the interval x < 2, then f(x) = 3 - x , that is
f(- 2) = 3 - (- 2) = 3 + 2 = 5
You have been asked to find the value of f(-5) for the function
f(x)=3x² -2x+5
Which of the following options is NOT a possible way to evaluate that function and
find the correct answer?
A- Substitute (-5) wherever there is an x and solve using a calculator
B- Graph the equation and look at the table to find the y-value when x=-5
C- See what x is when y=-5
D- Graph the equation and find the y-value of the ordered pair when x=-5
1 out of 8 students wants pancakes and the rest want waffles. What is the ratio of the number of students who want waffles to the total number of students?
Answer:
I believe the answer to be 1 : 8
Which definition states the measure of the sum of two angles is 90 *?
A. Def. of Complementary Angles
B. Def. of Congruent Angles
C. Def. of a Right-Angle
D. Def. of Supplementary Angles
A. Def. of Complementary Angles states the measure of the sum of two angles is 90°.
Complementary angles are two angles whose measures add up to 90 degrees. The definition states that if two angles are complementary, their measures will sum up to 90 degrees. The concept of complementary angles is important in trigonometry, where the complementary angles are used in the relationship between the sine, cosine, and tangent of an angle.
For example, if angle A is complementary to angle B, then we can write:
Angle A + Angle B = 90 degrees
It is important to note that complementary angles do not have to be adjacent or next to each other, but they must always add up to 90 degrees when measured in degrees.
Therefore, option A. Def. of Complementary Angles is the correct answer.
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What are the roots of 3x² 5x 2 0?
The roots of the quadratic equation 3x² + 5x - 2 = 0 are the two values of x that make the equation true. In this case, they are x = -2 and x = 0.
Step 1: Move all terms with an x to one side of the equation and all terms without an x to the other side:
3x² + 5x - 2 = 0
3x² + 5x = 2
Step 2: Divide both sides of the equation by the coefficient of the x² term (3):
(3x² + 5x)/3 = 2/3
x² + (5/3)x = 2/3
Step 3: Use the quadratic formula to calculate the roots of the equation:
x = [-b ± √(b² - 4ac)]/2a
x = [-(5/3) ± √((5/3)² - 4(1)(2/3))]/2(1)
x = [-(5/3) ± √(25/9 - 8/3)]/2
x = [-(5/3) ± √(7/9)]/2
Step 4: Calculate the values of x that make the equation true:
x = [-(5/3) + √(7/9)]/2
x = [-(5/3) - √(7/9)]/2
x = [-2]
x = [0]
Therefore, the roots of 3x² + 5x - 2 = 0 are x = -2 and x = 0.
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how do you get the expression?
Answer:
Step-by-step explanation:
The expression is (4 x 1,000) + (3 x 100) + (6 x 1 / 100) + (7 x 1 / 1000) in simplified as the decimal number = 4,300.067
we have 20 identical (indistinguishable) apples. how many different ways are there to place the apples into 6 (distinguishable) boxes, if each box is required to have at least two apples in it.? g
There are 3060 ways to place 20 identical apples into 6 distinguishable boxes.
Here we have been given that there are 20 apples that are identical in nature but distinguishable boxes.
Now we see that there have to be at least 2 apples in every box.
Now the formula for combination things states that when n number of similar objects need to be placed in x distinguishable things where at least a number of things must be placed is
ⁿ ⁻ ᵃCₓ ₋ ₐ
here n = 20
x = 6
a = 2
Hence we get
²⁰ ⁻ ²C₆ ₋ ₂
= ¹⁸C₄
= 18! / (14! X 4!)
= (18 X 17 X 16 X 15)/4 X 3 X 2
= 3 X 17 X 4 X 15
= 3060 ways
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what is the greatest common factor of 24, 30 and 50
The greatest common factor (GCF) of two or more numbers is the largest number that divides evenly into each of the numbers without leaving a remainder. To find the GCF of 24, 30 and 50, we can use the prime factorization method. The prime factorization of 24 is 2^3 * 3^1, the prime factorization of 30 is 2 * 3^1 * 5^1, and the prime factorization of 50 is 2 * 5^2. We can see that the GCF of these numbers is 2 * 3^1 = 6, since 6 is the highest power of 2 and 3 that divides all three numbers evenly. So, the GCF of 24, 30 and 50 is 6.
I hope this helps :)
Answer:
2
Step-by-step explanation:
I did the work.
14:21 in the figure below, top enclose p s end enclose is a diameter of the circle with center o, and p, q, and s lie on the circle. the length of top enclose p q end enclose is 4 inches, the length of top enclose p s end enclose is 5 inches, and top enclose p s end enclose is perpendicular to top enclose q r end enclose. what is the length, in inches, of top enclose r s end enclose ?
The length of top enclose r s end enclose = √(4² + 5²) = √(16 + 25) = √(41) = approximately 6.4 inches.
Length of Top Enclose RSThe length of top enclose r s end enclose can be determined using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Since top enclose p s end enclose is a diameter of the circle, it is the hypotenuse of a right triangle formed by top enclose p s end enclose, top enclose p q end enclose and top enclose p r end enclose. Thus, the length of top enclose r s end enclose is the square root of the sum of the squares of the lengths of the other two sides, which are 4 inches and 5 inches.
In other words, the length of top enclose r s end enclose = √(4² + 5²) = √(16 + 25) = √(41) = approximately 6.4 inches.
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at the city museum, child admission is $5.20 and adult admission is $9.10. on saturday, 162 tickets were sold for a total sales of . how many child tickets were sold that day?
The number of child tickets sold on Saturday is 5.
We know that at the city museum, the child admission is $5.20 and adult admission is $9.10. We also know that on Saturday 162 tickets were sold for a total sales of $1491.60.
We can use this information to find the number of child tickets sold on Saturday. We can set up an equation with the total sales and the price of the tickets.
Let x be the number of child tickets sold.
x(5.2) + (162-x)(9.10) = 1491.60
The equation represents the total sales by the number of child tickets sold multiplied by the price of child admission, and the number of adult tickets sold multiplied by the price of adult admission.
We can solve for x by isolating it and substituting the given values:
x(5.2) + (162-x)(9.10) = 1491.60
x*5.2 + (162-x)*9.10 = 1491.60
5.2x + 1472.20 - 9.10x = 1491.60
-3.9x = -19.40
x = 19.40/-3.9
x = 5
So, the number of child tickets sold on Saturday is 5.
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please help asap!!!
thank you!!
The length of the ball from the center green using the cosine rule is; 84.4 yards
How to use the cosine rule?In trigonometry, the Cosine Rule is a rule that states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle that is included between them.
This can be expressed as;
c = √(a² + b² - 2ab cos C)
In this question, the length of the length of the ball from the center green is c and as such using the cosine rule, we have;
c = √(110² + 45² - 2(110 * 45)cos 45)
c = √(14125 - 7000.36)
c = 84.4 yards
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Find the diameter of the object.
diameter:
the diameter is multiple by two of the radius
What is law of substitution in math?
The meaning of substitution originates from Latin with the basic meaning of "in place of." The meaning of substitution in math is an absolute, 100% replacement in value.
Mathematics properties are statements that have been tested and proven to be true. These properties are used always throughout math. The substitution property of equality, just like the others, is particularly useful.
The substitution property of equality describes that one value can replace another value in an expression or equation and the value will stay the same. For instance, if the values of y and z are equal, then they are interchangeable.
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