Answer:
first car = 35, second car= 15
Step-by-step explanation:
40x+15y=1625
x+y=50
multiplying the 2nd by -15 and add the 2 equations, we get x= 35 and by substituting on second equation we get y= 15
Area of irregular shapes
Answer:
The area of the irregular shape is 268.8.
Step-by-step explanation:
To find the area of an irregular shape, we first have to break it into common shapes, here, in this case, we will break it into a rectangle with sides 14 and 8 and a triangle with a base length equal to 14 and the opposite angle to the base is equal to 32°.
The area of the rectangle is equal to the product of the side lengths which is equal to [tex]14*8=112[/tex]. Therefore [tex]A_{1} =112[/tex].To find the area of the triangle we have to find the height of the triangle. Since [tex]tan32=\frac{14}{Height}[/tex], this implies height is equal to [tex]\frac{14}{tan32}=22.40[/tex]. Now the are of triangle is equal to product of half times bease times height . [tex]A_{2} = \frac{1}{2}*14*22.40= 156.80[/tex]Therefore the area of the given irregular shape is equal to [tex]A=A_1+A_2\\A=112+156.8\\A=268.8[/tex]To learn more about the area of irregular shapes, refer to the link below:
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When constructing an angle bisector, the compass must be used to make three arcs. do all three arcs need to have the same radius? explain.
When constructing an angle bisector using a compass, all three arcs do not need to have the same radius.
To construct an angle bisector, you first place the point of the compass on one of the angle's vertices and draw an arc that intersects both sides of the angle. Next, you place the point of the compass on the other vertex of the angle and draw another arc that also intersects both sides of the angle. Finally, you draw a straight line through the point where the two arcs intersect, which will bisect the angle.
The radius of the compass does not affect the construction of the angle bisector, as long as the compass is set to a radius that is large enough to intersect both sides of the angle at some point. As long as the arcs intersect, the angle bisector can be accurately constructed, regardless of the radius of the arcs.
The complete question is:-
When constructing an angle bisector, the compass must be used to make three arcs. Do all three arcs need to have the same radius? Explain.
- Yes, because then the marks are equidistant from each other.
- Yes, because you need the points of intersection of the angle and arcs to form a parallelogram.
- No; the second two arcs must have the same radius but it can be different from the first.
- No; any three radii will work.
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The table shows a linear relationship between x and y. What is the rate of change of y with respect to x?.
The rate of change of y with respect to x is the slope of the line which is 2.
To find the slope of a line, you can use the following formula:
slope = (y2 - y1)/(x2 - x1)
where (x1, y1) and (x2, y2) are two points on the line.
For example, if the table shows the following values for x and y:
[tex]\boxed{x | y}\\\boxed{0 | 0}\\\boxed{2 | 4}\\\boxed{4 | 8}[/tex]
The slope of the line can be calculated by finding the difference in the y-values between two points and dividing it by the difference in the x-values between those same two points. For example, the slope between the points (0,0) and (2,4) would be calculated as follows:
slope = (4 - 0)/(2 - 0) = 4/2 = 2
Therefore, the rate of change of y with respect to x is 2.
The slope of a line represents the rate of change of one variable (y) with respect to another variable (x). In other words, it tells us how much y changes for every unit change in x. In this case, the slope of the line is 2, which means that for every unit increase in x, y increases by 2 units. This is a linear relationship because the slope is constant, meaning that the rate of change is always the same.
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ignore my writing :)
Answer:
Below
Step-by-step explanation:
In a RIGHT triangle, sin (angle ) = opposite leg/ hypotenuse
sooooo sin (x) = 7.1/8.5
sin (x) = .835
x = arcsin (.835) = 56.6°
What is the factor of x³ 3x² 9x 5?
(x+1) & (x-5) are the factors of given equation.
The given Equation is,
x3- [tex]3x^{3}[/tex] - 9
Substitute - Substitute means to put something in the place of another and in mathematics substitution means putting numbers in the place of letters. It is used to calculate the value of an expression.Here, If we substitute x =5, in the given equation, then we find
(5)3 - 3(5)3 - 9*5 -5 = 0
x-5 is factor of given equation to find another factor dividing given equation by x-5
we will get =(x2+2x+1) after dividing the equation by x - 5
Hence x3- [tex]3x^{3}[/tex] - 9 =(x2+2x+1) (x-5)
=(x+2)2 (x-5)
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The method of sampling where the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population is?
The method of sampling where the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population is judgement sampling
The judgement sampling is a non probability that the researcher selects units to be sampled based on his own knowledge and professional judgement. Here the probability is not a factor.
The given question is the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population.
Here the given sampling is matches the judgement sampling, because the selecting the units to be samples based on her or his knowledge and judgement
Therefore, the sampling method is judgement sampling
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What is the scale factor of congruent?
Answer: Since all the corresponding sides of two congruent polygons will be equal, their scale factor will be 1.
Step-by-step explanation:
What are the 8 parallel lines?
Parallel lines are defined as lines that do not intersect or meet at any point in a plane. They are always parallel and equidistant from one another.
What is answer parallel line?
In geometry, parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet. They can be both horizontal and vertical.
Parallel lines are two lines in the same plane that are equal distance apart and never intersect.
Real-world parallel line examples include railroad tracks, sidewalk edges, street markings, zebra crossings, the surface of pineapple and strawberry fruit, staircases and railings, and so on.
Parallel lines are lines in a plane that never meet, no matter how far they are extended. The distance between the parallel lines is constant because they never meet.
Parallel lines are defined as lines that do not intersect or meet at any point in a plane. They are always parallel and equidistant from one another.
these are 8 parallel lines
2x+3y = 6
2x+3y = 4
2x+3y = 1
2x+3y = 2
2x+3y = 3
2x+3y = 8
2x+3y = 7
2x+3y = 5
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How do you factor 7th grade math?
Therefore , the factor of the 7th grade math equation 3x + 6 are
3 and (x + 2)
What is equation?The equal sign is used between numerical or changeable expressions to create an equation, such as 3x+5=11.
A number that can be entered as the variable's replacement in an equation serves as the solution.
Here,
The seventh grade can be viewed as the following:
to produce 3x + 6
Put each term in writing as the outcome of irreducible factors:
3x = 3 × x
6 = 2 × 3
(3 × x) + (2 × 3) = 3x + 6
Three is a common element in the previous two words.
According to the distributive property, 3 x (plus 2) equals 3 x + 2 x 3.
Therefore, 3x + 6 equals 3(x + 2), where 3 and (x + 2) are the variables that make up 3x + 6, and these factors cannot be further divided.
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You need to divide the number of cars by the number of people to calculate cars per person on day 1
The correct formula that you need to enter in excel to divide the number of cars by the number of people is = B92/ C92.
What is Microsof excel?This is spreadsheet program mainly used to organize numerical and non-numerical data using tables and graph. One of the advantages of this program is that it allows you to set formulas to automatically obtain results by applying mathematical operations to the cells selected.
How to use a formula in this case?Considering the task is to divide the number of cars by the number of people, the correct symbol to use is the symbol / or divide. Moreover, in the formula you need to include the correct cells. In this case, the number of cars is cell B92 and the number of people is cell C92. Therefore, the correct complete formula is B92/ C92.
Note: This question is incomplete; here is the missing section:
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What is the requirements for SSS update status?
Without going to an SSS branch, members of SSS can update or amend their contact information, including their phone number, cell number, postal address, overseas address, and email address.
A passport Member's copy of Personal Records (SS Forms E-1, RS-1, OW-1, and NW-1) lawfully received by the SSS where the proper sex is specified is a needed document. If the sex on the birth certificate is entered incorrectly or if a birth certificate correction petition is lodged, the court will allow the petition.
Application Conditions
An application for a member loan.
E-6 (acknowledgement stub) with any two legitimate IDs, one of which has a current photo, or SSS digital ID. valid driving license. ID card from the Professional Regulation Commission (PRC). Passport. a postal ID. ID from a company or school. TIN card: a tax identification number.
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A 12-ounce bottle of shampoo lasts Erique 16 weeks. How long would you expect an 18-ounce bottle of the same brand to last him?
Answer: 24 weeks
Step-by-step explanation:
Take 12 divided by 16 = 0.75 ounce per week
Then take 18 divided by 0.75 = 24 weeks
what is the range of the function y=-8x+5 when the domain is {-2,2,4}
Answer:
{-27, -11, 21}
Step-by-step explanation:
[tex]x=-2 \implies y=-8(-2)+5=21 \\ \\ x=2 \implies y=-8(2)+5=-11 \\ \\ x=4 \implies y=-8(4)+5=-27[/tex]
Which one would it be? A dog eating 4 cups each day, or A man eating 3 pieces of pizza in 15 minutes, I'm really confused.
Answer:
A dog eating 4 cups each day
Step-by-step explanation:
Because the unit rate is like a unit number over 1.
Example: 3 miles per hour
So, I think the answer is A dog eating 4 cups each day
For what value of A is x 4 a factor of 5x³ 7x² ax 28?
On solving the provided question, we can say that - equation [tex]5x^3 + 7x^2+ax = 28[/tex] at x= 4 that value of a is = - 101
What is factor?A number that divides another number by itself with no residual is known as a factor. In other words, if multiplying two whole numbers results in the creation of a product, the numbers we are multiplying are factors of the product since the product is divisible by them. Division and multiplication are the two ways to discover factors. A number or other mathematical object is factorized or factored in mathematics by expressing it as the product of numerous factors, often smaller or simpler things of the same sort. One factorization of the polynomial x2 - 4 is 3 5, which is also a factorization of the number 15.
[tex]5x^3 + 7x^2+ax = 28\\5(4)^3 + 7(4)^2 + 4a = 28[/tex]
a= -404/4
a = -101
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The price of a commodity was increased in the ratio 5:4. After one month the same commodity was reduced in the ratio 7:8 to attract more customers. If the new price is sh35 calculate the price of the commodity before the increase
Answer:
sh. 32
Step-by-step explanation:
Before the reduction, the cost was [tex]35(8/7)=[/tex]sh. 40.
Therefore, the price before the increase was [tex]40(4/5)=[/tex]sh. 32.
I need helping finding the length and width of this shape the area is 183.65sqft ? Please help thank you.
Answer:
Below
Step-by-step explanation:
TOTAL AREA of circle with 15' radius = pi r^2 = 706.9 ft^2
this is a fraction of the total 360 degrees of the circle
x/360 = 183.65 /706.9
x = 93.5 ° or 1.63 Radians is the central arc angle
What are the vertical and horizontal asymptotes for the function f/x )= x2 x 6 x 3 1?
The function given by the question, [tex]f(x) = \frac{x^{2} }{6x+31}[/tex] , the vertical asymptote will be at x = -31/6 and there will be no horizontal asymptote.
What is horizontal asymptote?A horizontal asymptote is a line that guides the graph of a function for x-values that are "far" to the right or left but not on the graph itself. The graph might cross it, but ultimately, for sufficiently big or sufficiently low values of x, the graph would approach the asymptote without hitting it. A slant asymptote has a specific instance known as a horizontal asymptote.
What is vertical asymptote?A vertical line that directs the function's graph but is not actually a part of it is called a vertical asymptote. Because it appears at an x-value outside of the function's scope, the graph can never cross it. There may be several vertical asymptotes for a given function.
Solve 6x + 31 = 0 for x to obtain the vertical asymptotes of the function x2/(6x+31). The vertical asymptote is x = -31/6 because x = -31/6 is the solution. Because the degree of the numerator is larger than the degree of the denominator by 2, the function has no horizontal asymptotes (1).
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Collect like terms y + 2 y
Answer:
y + 2y = 3y
Explanation:
y and 2y are like terms. Their sum is 3y
Given the following function, find the coordinates of the vertex of f(x):
f(x)=x²- 2x - 15
A. (1, -16)
B. (-1, -12)
C. (-1, -14)
D. (1, -17)
Ο.Α.
OB
O C
OD.
Answer: A. (1, -16)
Step-by-step explanation:
Use a graphing calculator.
100 POINTS PLEASE HELP BRAINLIEST
Answer:
D because it is a increase in liability and the increase in the lability is always credited so it is posted in the T account.
Express the area of a rectangle with length 3x²y and width 4y³ as a monomial.
Area =
Area of rectangle= [tex]12x^{2} y^{4}[/tex] id from given breadth and length of rectangle that are given in form of monomial.
What are monomial and binomial?The result of non-negative powers of variables is a monomial. A monomial will only have one term and no variables in the denominator.
A binomial, which is the product of two monomial, has two dissimilar terms.
The area of a rectangle with length l and width w is given by the formula
A = l×w.
In this case,
length of the rectangle = 3x²y
width = 4y³
Therefore, the area of the rectangle is given by A = 3x²y * 4y³
= [tex]12x^{2} y^{4}[/tex]
This is a monomial because it is a single term that contains only variables and their exponents.
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2.5x−20 when X = 15?
Answer:
17.5
Step-by-step explanation:
Since X is right next to 2.5 and x =15 2.5x15=37.5 and then you subtract 20
Answer:
x = 30/11 = 2 8/11 is approximate 2.727
Step-by-step explanation:
hope this helped:)
What is the order of the angle from largest to smallest?
Obtuse angles, right angles (90 degrees), and acute angles are the three sorts of angles that we can distinguish in order from largest to smallest (smaller than a right angle).
What are angles?In Euclidean geometry, an angle is made up of two rays that share a terminal and are referred to as the angle's sides and vertices, respectively. Angles can be formed by two rays in the plane where they are placed.
Additionally, when two planes overlap, angles are created.
Dihedral angles are what they are called.
The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation.
A geometrical shape called an angle is created by connecting two rays at their termini. In most cases, an angle is expressed in degrees.
Order of angles from largest to smallest: obtuse angles are the three types of angles that we can recognize (larger than a right angle), Right angles (90 degrees), and acute angles (smaller than a right angle).
Therefore, the order of angles from largest to smallest: obtuse angles are the three types of angles that we can recognize (larger than a right angle), Right angles (90 degrees), and acute angles (smaller than a right angle).
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How did you know that ordered pair satisfies the linear inequality in two variables?
Using the values provided in the ordered pair, The linear inequality is satisfied by putting the ordered pair values and checking if the statement is true or false.
What do you mean by a ordered pair?An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.
What is linear inequality?When two mathematical statements or two numbers are compared in an unequal way, it is known as an inequality in mathematics. Inequalities can generally be classified as either algebraic or numerical, or as a combination of the two.
ordered pair=(1,2)
linear inequality equation,
[tex]4x_{1}-x_{2} > 0[/tex]
using value from ordered pair,
[tex]4*1 - 2 > 0[/tex]
[tex]2 > 0[/tex]
which is true. That is it satisfies the given linear inequality.
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Min read his book for 13 hour before dinner. He read his book for 114 hours after dinner.
Altogether, how many hours did Min read his book?
Responses
1 1/6 hours
1 2/7 hours
1 1/2 hours
1 7/12 hours
QUICK
Answer:
1 7/12 hours
Step-by-step explanation:
1/3 + 11/4
The common factor is 12
4/12 + 13/12 = 1 7/12
Is 4th root a function?
Answer:
yes
Step-by-step explanation:
It is! A function is defined as an operation that when given a number, it returns a unique number back. The 4th root satisfies this, so it is a function!
hope this helps :)
David runs the music-streaming service Absolute Audio. Since upgrading his app last year, David has steadily gained subscribers.
This situation can be modeled as a linear relationship.
What does the slope of the line tell you about the situation?
A. david had 350 subscribers 6 months aafter upgrading the app
B. david gained 100 subscribers every 3 months
C. david gained 150 subscribers every 3 months
D. david had 150 subcribers when he upgrading the app
Answer: B. David gained 100 subscribers every 3 months.
Step-by-step explanation:
The slope of the line shows us the change. First, we will need to find the slope. We will use "rise over run" to do this, resulting in a slope of 100/3. This represents 100 subscribers every three months leading us to answer option B;
B. david gained 100 subscribers every 3 months
What does B stand for in area formula?
what is 14 divided by 3 as a fraction than in mixed numbers?
Answer: 4 2/3
Step-by-step explanation:
14/3 is an improper fraction. Let's take the numerator and divide it by the denominator.
Divide 14 by 3. The quotient digit is 4.
Multiply the quotient digit 4 by the divisor 3.
Subtract 12 from 14.
The result of 14 divided by 3 is 4 with a remainder of 2.
Thus, 14/3 as a mixed number can be written as 4 2/3.
14/3 as it can't further cut out.
Because in a mixed number it is 4 2/3. This can be expressed as a fraction by multiplying the whole number (4) by the denominator (3) and adding it to the numerator (2), giving a fraction of 14/3.
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