Therefore , the solution to given problem of fraction comes out to be 5.2 metric tons per hour.
What exactly is a fraction?To represent a whole, divide it into any number of equally parts, or fractions. How many units of a particular size there are is expressed using fractions in standard English. 8, 3/4. Parts of a whole are included. Numbers in mathematics are stated as a ratio of such numerator to the denominator. These are each simple fractions that represent an integer. A fraction is contained in the fraction or population of a sophisticated fraction. When a fraction is true, its numerators are less than its denominators. An amount that makes up a fraction of a whole is called a fraction. You can assess the whole by dissecting it into smaller pieces. For instance, 12 is used to denote half of the a total number or item.
Here,
Given : Six and a half metric tons of soil are removed from a construction site by a construction company in one and a half hours.
Thus,
5/3 hours and 13/2 metric ton
So,
=> 13/2 / 5/4
=> 13/2 * 4/5
=> 52/10
=>5.2
Therefore , the solution to given problem of fraction comes out to be 5.2 metric tons per hour.
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In 25 words or fewer, describe one thing the Fed can do to help
businesses.
How do you solve 4n 9 =- 9?
The value of the unknown value n after simplifying the given equation
4n - 9 = -9 is Zero.
Simplifying the algebraic equation given, 4n - 9 = -9
Reorder the terms:
-9 + 4n = -9
Add '9' to each side of the equation i.e on both the sides :
-9 + 9 + 4n = -9 + 9
Combine like terms: -9 + 9 = 0 ( on left side )
0 + 4n = -9 + 9
4n = -9 + 9
Combine like terms: -9 + 9 = 0 (on right side )
4n = 0
Solving
4n = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Divide each side by '4'.
Simplifying
n = 0
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convert 180 grams to ounces
Solve for x: 2 4
— = —
5 x
Therefore ,we can state that after resolving the given problem of equation, x = 3 .
What is an equation?A mathematical formula known as an equation combines two assertions using the equal sign (=) to denote equivalence. An equation is an empirical statement that proves the equality among two mathematical expressions, according to the definition of an explanation in algebra. The variables 69x + 7 and 14 are divided by an equation in the solution 56 + 5 = 14, as example. Mathematical equations are used to express the relationship between two words from either end of a letter. In most cases, the symbol serves as the sole variable. a good example
is 2x - 4 = 2.
Here,
At this location, we have
=> x + 2 = 5
=> x = 3
now,
=> 5x= 15
=> x = 15/5
=>x =3
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The question is "Solve for x for the equations x+ 2 = 5 and 5x =15"
Solve this system of equations by graphing. Graph the equations, then find the solution.
A. y = x + 1
B. y = -¾ x - 6
The solution to the system is: (-4, -3).
How to Solve a System of equations by Graphing?To solve a system of equations by graphing, you will need to:
Graph each equation on the same coordinate plane by plotting points that satisfy the equation and connecting them with a line.Look for the point of intersection between the two lines, which represents the solution of the system of equations.If the lines do not intersect, the system has no solution. If the lines are coincident, the system has infinitely many solutions.Once you find the point of intersection, you can substitute the x and y values back into the original equations to check that the solution is correct.Given the system of equations:
A. y = x + 1
B. y = -¾x - 6
Equation A is the red line on the image below while B is represented as the blue line. Both intersect each other at (-4, -3).
Therefore, the solution is; (-4, -3).
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Look at picture 30 points
Answer:
It's a IQ based question
if you focus you'll see first is 1 then 3, 6,9
difference is increasing 2, 3, 4 then next one will be 5. it's quite simple
What are all the real zeros of the
function
y = −3(x + 1)³ + 9?
Answer:
∛3 - 1 which is 0.44 to the nearest hundredth.
Step-by-step explanation:
−3(x + 1)³ + 9 = 0
(x + 1)³ = -9/-3
(x + 1)³ = 3
x + 1 = ∛3
x = ∛3 - 1
= 0.44225
The cube root of 3 is positive, no negative real roots are possible.
Roberta cites the following statement as evidence for a claim. "the chicken genome has about 17,000 genes, and the grape has about 30,000 genes. " which claim about human genes would be most strongly supported by this statement?.
The assertion that there aren't many extra genes in humans compared to other organisms would be the one this statement would most strongly support.
Genes are stretches of DNA that aid in the precise determination of each trait. The primary biological factor transmitted from parent to child. Genes are composed of DNA sequences and are organised sequentially at specified sites on chromosomes in the cell nucleus.
The human genome project estimates that we contain between 20,000 and 25,000 genes. Daphnia, a microscopic eating flea, contains 31,000 genes, the most of any animal.
Therefore, the claim that there are not particularly many genes in humans compared to other organisms would be most strongly supported by this statement.
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The claim that humans have more number of genes than chickens and grapes
The statement provided by Roberta states that the chicken genome has about 17,000 genes, and the grape has about 30,000 genes. This statement indicates that grapes have more genes than chickens. Therefore, it can be inferred that humans have more genes than chickens and grapes, as humans typically have more complex genomes than other species.
Roberta cites the following statement as evidence for a claim. "the chicken genome has about 17,000 genes, and the grape has about 30,000 genes. " From this statement, it can be inferred that humans have more genes than chickens and grapes. This is because humans typically have more complex genomes than other species, and the statement provided suggests that grapes have more genes than chickens. Therefore, the claim that humans have more number of genes than chickens and grapes would be most strongly supported by this statement.
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Supervisor: "your salary is $25,000 and you will be receiving a 2.5% pay increase this year. what will your new salary be?"
In case of a 2.5% increase in your pay which is now $25,000, your new salary will be $25,625.
First, you need to determine the percent increase i.e.2.5% of 25,000 (old salary),
2.5% x 25,000 = ?
2.5/100 x 25,000 = 625
So, the $625 would be the increased amount in your salary which is equal to 2.5% of your old salary (i.e. 25,000).
In order to find out the amount of your new salary that you will be receiving, you have to add the increased amount to the amount of your old salary, as follows:
amount of the new salary = amount of the old salary + percent increase
= $25,000 + $625
= $ 25,625
When an increase of 2.5% is made in your salary which is now $25,000, then your new salary becomes $25,625.
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i need help on 7, 9, 10
Given the figure below, find the values of x and z.
►
75°
(8x+19)
Please help I’m really stressing
Using the concept of angle in a straight line and the vertically opposite angles, The answer is x= [tex]7^o[/tex] and z =[tex]105^o[/tex].
What is an angle?An angle is a measure of the amount of rotation between two lines or planes. It is typically measured in degrees or radians. An angle can be defined as the amount of rotation needed to bring one line or plane into coincidence with another. Angles are often represented graphically as a central point, called the vertex, and two rays that extend from the vertex in different directions. The angle is the amount of rotation needed to rotate one ray so that it coincides with the other ray.
What is vertically opposite angle and angle in a straight line?Vertically opposite angles are a pair of angles that are opposite each other and have the same vertex, with the rays of the angles extending in opposite directions. They are formed when two lines intersect at a right angle. For example, in the letter "L" shape, the angles in the corner of the "L" shape are vertically opposite angles. They are congruent angles and supplementary angles, meaning they add up to 180 degrees.
An angle in a straight line is when two lines are in the same straight line and forms an angle of 180 degree. It is also called a straight angle. A straight angle is formed when a line is bent so that its two endpoints are in the same location, creating an angle of 180 degrees. The rays of the angle are in the opposite direction, hence it is also known as straight angle.
75 = 8x+19 (Vertically opposite angles)
75-19 = 8x
x=56/8 = [tex]7^o[/tex].
75+z =180 (Angle in a straight line)
z=180-75 = [tex]105^o[/tex].
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Here is Cho's logo.
They want to create stamps of their logo.
If the stamp is
3
5 inches wide, what does the height need to be?
Pls help ( need this by 9!!)
There is another part to this question look in the comments before solving
The height of the stamp should be proportional to the width, so if the width is 3 inches, the height should also be 3 inches.
What is proportional?Proportional refers to the relationship between two or more numbers, measurements, or quantities that are mathematically equivalent. In other words, when two or more values are proportional, a change in one value results in an equivalent change in the other. For example, if one quantity is twice as large as another, the two are said to be in a 2:1 proportion. Proportional relationships can also be expressed in equations, such as y=mx+b, where m is a constant factor of proportionality, and b is the y-intercept. Proportional relationships are a key component of algebra and geometry.
This will ensure that the logo looks the same size and shape when printed on the stamp.
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What is the result when the number 63 is increased by 1.3%
Answer:
63.819
Step-by-step explanation:
1.3% = 1.3/100 = 0.013
Then;
63 + 63*0.013 = 63 + 0.819
= 63.819
What is an equation of the line that passes through the points (1, 3) and (7, -3)?
Answer:
y = -x + 4
Step-by-step explanation:
y = mx + b
You need the slope (m) and the y-intercept (b)
Slope
Change in y over the change in x
(1,3) (7,-3)
The y values are -3 and 3. You find the change by subtraction
-3 - 3 = -6
(1,3)(7, -3)
The x values are 7 and 1. You find the change by subtraction
7 - 1 = 6
You make a fraction by the change in y in the numerator and the change in x in the denominator.
[tex]\frac{-6}{6}[/tex] = -1
The slope is -1
y-intercept
Use the slope you just found -1 and one of the points given. I am going to use (1,3), but either point will work.
y = 3 From the point given (1,3)
x = 1 From the point given (1,3)
m = -1
Substitute these all in and solve for b
y = mx + b
3 = (-1)(1)+ b
3 = -1 + b Add 1 to both sides
3 + 1 = -1 + 1 + b
4 = b
The y-intercept is 4.
y =mx + b
y = -x + 4
mr. muckle bought a new tv. the screen on his old TV measured 15 by 20 in, but the screen on his new TV measures 18 by 32 in. what is the persent of increase in the area of Mr.Muckle'a screen
Answer:
the answer is an increase by 28% sorry if i am incorrect
The drawing plan for an art studio shows a rectangle that is 11.2 inches by 8 inches. The scale in the plan is 4 in.: 5 ft. Find the length and width of the actual studio. Then find the area of the actual studio.
The length is ________ feet, the width is _____ feet, and the area is _______ square feet.
The length is 14 ft, the width is 10 ft, and the area of the rectangle is 140 square feet.
What is area?The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.
Given that the scale of the plan is:
Scale = 4 in: 5 ft = [tex]\frac{5ft}{4in}[/tex]
Multiply the length of the studio with the given scale:
[tex]l= 11.2\cancel{\text{ in}} (\frac{5\text{ ft}}{4 \text{ in}}) \\\\l = 14 ft[/tex]
Multiply the width of the studio with the given scale:
[tex]w= 8\cancel{\text{ in}} (\frac{5\text{ ft}}{4 \text{ in}}) \\\\w = 10 ft[/tex]
The area of the rectangle is given by the formula:
[tex]A= l * b[/tex]
Substitute the value of l = 14 and w = 10:
[tex]A= (14)(10)\\\\\\A= 140 ft^2[/tex]
Hence, the length is 14 ft, the width is 10 ft, and the area is 140 square feet.
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I need help please
[tex]18+2y=34\\-18 -18\\__0______\\[/tex]
I need help with the rest
Answer:
y = 8
Step-by-step explanation:
18 + 2y = 34 Subtract 18 from both sides
18 - 18 + 2y = 34 - 18
2y = 16 Divide both sides by 2
[tex]\frac{2y}{2}[/tex] = [tex]\frac{16}{2}[/tex]
y = 8
Check:
18 + 2y = 34
18 + 2(8) = 34
18 + 16 = 34
34 = 34
Bounce Club surveyed a random sample of 555555 of their members about their favorite type of music. Of the members surveyed, 222222 said that jazz is their favorite type of music. There are 422422422 Bounce Club members. Based on the data, what is the most reasonable estimate for the number of Bounce Club members whose favorite type of music is jazz music
This is calculated by multiplying the proportion of members who said jazz is their favorite type of music (222222/555555) by the total cost number of Bounce Club members (422422422).
1. Calculate the proportion of members who said jazz is their favorite type of music:
222222/555555
= 0.4
2. Multiply the proportion (0.4) by the total number of Bounce Club members (422422422):
0.4 x 422422422
= 400,000
The survey asked 555555 members of the Bounce Club about their favorite type of music and 222222 said that jazz was their favorite type of music the proportion of members who said jazz is their favorite type of music (222222/555555) was multiplied by the total number of Bounce Club members (422422422). This calculation resulted in a most reasonable estimate of 400,000 members whose favorite type of music is jazz.
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Select all pairs that are like terms.
1.) -4n and 18n
2.) 15ab and 2ab
3.) 17f and 17
4.) 3w and 3y
5.) 14h and -3h
6.) 5w and 5w²
All the pairs that are like terms are given as follows:
1.) -4n and 18n
2.) 15ab and 2ab
5.) 14h and -3h
What are like terms?Like terms are terms that share these two features:
Same letters. (algebraic variables).Same exponents.If two terms are like terms, then they can be either added or subtracted.
The like terms for this problem are given as follows:
1.) -4n and 18n -> algebraic variable of n, exponent of 1.
2.) 15ab and 2ab -> algebraic variable of ab, exponent of 1.
5.) 14h and -3h -> algebraic variable of h, exponent of 1.
For example, the pair in item 3 is of terms that are not like terms, as they have different algebraic variables, f and 1.
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Adding and Subtracting Polynomials terms. Giving out brainlest.
The terms related to the definition are given below.
What is Polynomial?Polynomials are expressions of the form,
a₀ + a₁ x + a₂ x² + ................. + aₙ₋₁ xⁿ⁻1 + aₙ xⁿ
where a's are the coefficients, x is the variable and n is the number of terms.
1. A term or a sum or difference of terms is AB) Polynomial
2. A polynomial that contains one term is E) Monomial
3. The number factor of a term that contains a variable is B) Coefficient
4. A polynomial written in descending order is D) Descending order.
5. A number, a variable or a product of numbers and variables is AD) Term.
6. A polynomial that contains two terms added or subtracted is A) Binomial.
7. A term that contains a number only is C) Constant
8. A polynomial that contains three terms added or subtracted is AE) Trinomial.
9. The arrangement of the terms of a polynomial in one variable in decreasing powers of the variable is AC) Standard form of a polynomial.
10. A symbol, usually a letter of the alphabet, that can be used to represent any number is BC) Variable.
Hence the terms related to the definitions are matched.
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I need help finding the domain and range of a parabola. The vertex is (-2,1).
HELP ME PLEASE!!! WORTH 10 POINTS!!
drag and drop each expression to correctly classify it as having a positive or negative product ( just put the ones in a positive group in that group and sam for the other one)
(5/6)(5/6) (-5/6)(5/6)
(5/6)(-5/6) (-5/6)(-5/6)
Answer:
Step-by-step explanation:
(5/6)(5/6) (-5/6)(5/6)
(5/6)(-5/6) (-5/6)(-5/6) they are they same but you can also change them and they will still be the same just backwords
Hope that helps
Two arithmetic sequences $A$ and $B$ both begin with 30 and have common differences of absolute value 10, with sequence $A$ increasing and sequence $B$ decreasing. What is the absolute value of the difference between the 51st term of sequence $A$ and the 51st term of sequence $B$
The difference between the 51st term of A and the 51st term of B is 1000.
the nth term of an arithmetic series is given by [tex]a_{n} = a_{0} (n-1)*d[/tex]
where [tex]a_{0}[/tex] is the first term of the arithmetic series, [tex]a_{n}[/tex] is the nth term of the series and d is the common difference
Given that, [tex]a_{0}=b_{0}=30[/tex]
Given that both series have common differences and have an absolute value of 10.
common difference of series a is 10 as this series is increasing
similarly common difference of series b is -10 as it is decreasing
putting the values in the above equation we get:
[tex]a_{n} = a_{0} (n-1)*d[/tex]
=> 30 + (51-1)*10
=> 30 + 500
=> 530
so. 51st term of A is 530.
Then, the 51st term of B = 30 + (51-1)*-10 => 30 -500 = -470
Hence the difference between the 51st term of A and B = 530-(-470)= 1000
Therefore, The difference between the 51st term of A and the 51st term of B is 1000.
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Qualitative researchers focus intensive data collection on a small sample of participants in order to establish a wealth of data. What is a typical sample size for a qualitative study
Need to ensure there is enough, but not too much, data One review identified that samples of 20 and 30 were the most common with 25-30 being a typical recommendation.
Sampling means selecting the group that you will actually collect data from in your research.
Characteristics of Qualitative research and sample size:
no explicit, formal criteria, and sample size determined by informational needs.decisions to stop sampling guided by data saturation which to stop sampling if the reachdata quality can affect sample size, if have people that aren't good, need a larger sample size, ongoing analysis guiding design decisionsno predominant hypothesis, no theory trying to follow, doing more exploration and looking for the things that have to start understanding.To know more about Qualitative researchers and sample size:
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Does someone mind helping me with this problem? Thank you!
Answer: ( 1, -2)
Step-by-step explanation: first number the equation as 1 and 2.
After that multiply 4 in equation 2 , then add both the equation
you will get x=1, y=-2,
answer = (1,-2)
Drag each tile to the correct box. Not all tiles will be used.
Consider the following function.
Place the steps for finding f-¹(x) in the correct order.
f(x) = 4x + 7
Answer:
P.E.M.D.A.S
(PARENTHESIS .1
(EXPONETS .2
(MULTIPLICATION .3
(DIVISION .4
(ADDITION .5
(SUBTRACT .6
Step-by-step explanation:
Lindsey went skydiving. When she jumped out of the plane, its elevation was 13,000 feet. She was in free-fall for 10,000 feet, and then she deployed her parachute. At what elevation did Lindsey deploy her parachute?
Answer:
3,000ft
Step-by-step explanation:
First set up the equation:
Start: 13,000 ft
Middle: 10,000 ft
End: ??
Lindsey started at 13,000ft, dropped 10,000ft, and then the remainder of it is what we are asked to find out. So all we have to do is 13,000 - 10,000 which equals 3,000.
A standard baseball diamond is a square 90 feet on each side. Find the distance of a throw made from the catcher 3 feet behind home plate in an attempt to throw out a runner trying to steal second base. Round to the nearest whole number.
Answer:
130 fr
Step-by-step explanation:
Distance (d) from home plate to second base:
d² = 90² + 90² = 16200
d = [tex]\sqrt{16200}[/tex] = 127.28 ≅ 127
Now add the 3 ft behind home plate:
127 + 3 = 130 ft
frank can mow his own yard in $45$ minutes. joe's yard is $40\%$ larger than frank's, but joe can mow his own yard in an hour. how long would it take them, working together, to mow both yards? express your answer as mm:ss, where mm is the number of minutes and ss is the number of seconds, rounded to the nearest whole number, it would take them.
Working together, Frank and Joe could mow both of their yards in a fraction of the time it would take them individually.
Frank can mow his own yard in 45 minutes.
Joe's yard is 40% larger than Frank's.
Therefore, Joe's yard would take 56 minutes (45 x 1.4) to mow.
The combined time for both yards would be 101 minutes (45 + 56).
This can be expressed as 01:15 (1 minute and 15 seconds).
Frank can mow his own yard in 45 minutes. Joe's yard is 40% larger than Frank's, so it would take Joe 56 minutes to mow his yard. If Frank and Joe worked together, it would take them a combined 101 minutes (45 + 56) to mow both yards. This can be expressed as 01:15 (1 minute and 15 seconds). This is the time it would take them to mow both yards, rounded to the nearest whole number. Working together, Frank and Joe could mow both of their yards in a fraction of the time it would take them individually.
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(√a + √8a)² = 54+b√2
a and b are positive integers. Find the value of a and the value of b.
The value of a is 6 and value of b is 24 for (√a + √8a)² = 54+b√2
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is (√a + √8 a)² = 54+b√2
Using algebraic identity (a+b) ²= a² + b ²+ 2ab
(√a )²+ ( √8 a )²+ 2×√a×√8a = 54 + b√2
a + 8 a + 2 ×√8 × √a x√a = 54 + b√2
a + 8a + 2×2√2 ×a = 54 + b √2
9a + 4a√2. = 54 + b√2
comparing above equations
9a = 54
a = 54/9
a = 6
4a = b
substituting a = 6
4×6 = b
b = 24
Hence, the value of a is 6 and value of b is 24.
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