A machine is set to make parallel cuts on stone tiles. The cuts are made along straight lines l1 and l2. Line l2 has equation y = [tex]\frac{3}{4}[/tex] . Line l1 has gradient [tex]\frac{-(3x-4)}{8}[/tex] . Find x.

Which of the following is NOT equivalent to 3/4?

Simplest form:

a. [tex]\dfrac{16}{24}[/tex]

[tex]\dfrac{16\div8}{24\div8} =\dfrac{2}{3}[/tex]

Option A is not equivalent to 3/4

b. [tex]\dfrac{15}{20}[/tex]

[tex]\dfrac{15\div5}{20\div5} =\dfrac{3}{4}[/tex]

Option B is equivalent to 3/4

c. [tex]\dfrac{6}{8}[/tex]

[tex]\dfrac{6\div2}{8\div2} =\dfrac{3}{4}[/tex]

Option C is equivalent to 3/4

d. [tex]\dfrac{24}{32}[/tex]

[tex]\dfrac{24\div8}{32\div8} =\dfrac{3}{4}[/tex]

Option D is equivalent to 3/4.

Option A would be your answer since it is the only option that isn't equivalent to 3/4.

Answer:

Slope = -4/7

Step-by-step explanation:

The slope of a line is determined by the formula m = (y2 - y1) / (x2 - x1), where m is the slope of the line, (x1, y1) and (x2, y2) are two points on the line. Plugging in the values from the given points, we get:

m = (7 - 3) / (1 - 8) = 4 / -7 = -4/7

Therefore, the slope of the line that passes through (8,3) and (1,7) is -4/7.

There is no percentage of 1 2, as percentages are a fraction of 100 and 1 2 is not a fraction.

A percentage is a fraction of 100, while 1 2 is not a fraction. Therefore, there is no percentage of 1 2.A percentage is a way to express a number as a fraction of 100. For example, 25% is equivalent to the fraction 25/100. However, 1 2 is not a fraction, and therefore cannot be expressed as a percentage.1 2 can be expanded to 100 by multiplying both numerator and denominator by 50. 1 2 would then be equal to 50/100, or 50%.

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Answer:

1, 2, 3, 4, 6, 9, 12, 18, 36

Step-by-step explanation:

From smallest to biggest, the necessary variables are 1, 2, 3, 4, 6, 9, 12, 18, and 36. By expressing 36 as the product of the components, we may get the factors.

Answer:

7:9

Step-by-step explanation:

The basic ratio is 63:81 but to simplify this ratio you can simplify each number as a multiplication of its factors.

63=3*3*7

81=3*3*3*3

Now find the factors they have in common and get rid of them.

63=3*3*7

81=3*3*3*3

The numbers in bold are all the factors that they have in common.

You can cancel these numbers out.

Now the remaining numbers you can put into a ratio in the same order

7:3*3

7:9

Answer:

1 13/28

Step-by-step explanation:

Hopefully you can see the picture, that picture shows how I solved it bc it's hard to type it and also bc u might have to show your work in order for you to solve it and get credit.

Thus, the amount he deposited four years ago is 5600.

Simple interest is used to determine the amount of interest that will be charged on a sum of money at a specific rate and for a specific amount of time. The principal amount in simple interest does not change, in contrast to compound interest, which adds the interest from the principal of preceding years to determine the interest of the following year.

Here,

Given:

The amount of electrician account earned is 1680

thus total amount is = 1680 + x

where x is the principal amount

Interest rate = 7.5%

and total years = 4 years

Using formula

[tex]\frac{P*R*T}{100}[/tex]= Simple interest

=> 1680 = x*7.5*4/100

=>1680 =x * 30/100

=>1680* 100 /30 = x

=>5600

Thus, the amount he deposited four years ago is 5600.

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Probability that the distance covered by the runner is  a prime number is 1/5.

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood that something will occur by the likelihood that it won't.

Classical: (equally probable outcomes) (equally probable outcomes) Let S be the sample space (the collection of all distinct outcomes that could occur).

Subjective Probability. Definition of Relative Frequency.

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Answer:38.4615384615% (increase)

Step-by-step explanation:Percent change = 180 - 130 |130| × 100% = 50 130 × 100 = 38.4615384615% (increase). Where: 130 is the old value and 180 is the new value.

Answer:

Squares are the most common unit of measurement referenced when it comes to overall house size, and one square is equivalent to 9.290304 square metres (confusing, huh

Answer:

y = 3x + 2

Step-by-step explanation:

y = 3x + c

substitute x and y with one of the points (ex: (1,5)):

5 = 3(1) + c

5 - 3 = c

2 = c

so

y = 3x + 2

To make sure this is correct, substitute x and y with the other point (ex: (-3,-7)):

-7 = 3(-3) +2

-7 = -9 + 2

-7 = -7

that means the equation is true and as it passes through both points.

Answer:

Step-by-step explanation:

hi yall funny

Answer:

Equation: 154 = 158n - 132 n = 11/6

Step-by-step explanation:

Let's start by converting this into an equation. Some keywords to look for are "is" which means an equal sign (=), "product" which is multiplication (*), and "decreased" which means a minus sign (-):

So this is our equation: 154 = 158n - 132

Now we have to solve for n:

First, we add 132 to both sides to isolate the n more:

286 = 158n

Then to completely isolate the n, we divide both sides by 158

286

------    =     n

156

n = 11/6, final answer.

If the midpoint is M(1, 5). and One endpoint is P(–4, 9) the other point is solved to be

The formula to determine the center point of a straight line using the coordinates of its endpoints is known as the midpoint formula in coordinate geometry.

The formula is of the form

X= (x₂ + x₁)/2

Y = (y₂ + y₁)/2

solving for Q (x₂, y₂)

1 = (x₂ + -4)/2

2 = x₂ + -4

x₂ = 6

5 = (y₂ + 9)/2

10 = y₂ + 9

y₂ = 19

point Q = (6, 19)

the other point is solved to be Q (6, 19)

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Answer: the answer is C

-4+x2/2 = 1, 9+y2/2 =5

Step-by-step explanation:

The balance sheet that correctly represents the engineer's income, expenses, and balance is balance number 4.

We should know that a balance sheet is a summary of assets and liabilities and income and expenses of a  legal person. This implies that a month has two bi-weeks.  therefore every income and expense is multiplied by 2 to get the following figures.

Income                                             Amount

Bi-weekly income                          $2,175.25

Total Monthly Income                   $4,350.50

Expenses                 Percent                              Amount

Housing                      35%                                $1,522.68

Food/Household          10%                               $435.05

Savings                         10%                                $435.05

Transportation              15%                                $652.58

Debt                              5%                                   $217.53

Entertainment              6%                                   $261.03

Medical/Personal Care 5%                                  $217.53

Giving                             5%                                 $217.53

Clothing                        4%                                  $174.02

Miscellaneous              5%                                 $217.53

                                                                          $4,350.50

Balance

Income $4,350.50

Expenses $4,350.50

Balance $0

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Step-by-step explanation:

as per the midsegment theorem

the lines connecting the half-points are half as long as the corresponding parallel side lines of the main triangle, ABC.

EF is half as long as AB = 4/2 = 2

DE is half as long as AC = 6/2 = 3

DF is half as long as BC = 4/2 = 2

so, the perimeter of DEF is

2 + 3 + 2 = 7

The annual return of the investment is 31.1%.

Given that, person has purchased a single-family home that you intend to rent for $850 per month.

A return, also known as a financial return, in its simplest terms, is the money made or lost on an investment over some period of time.

First find the amount earned per year:

= 850 x 12

= $10,200

The yearly expenses would be:

= (390 x 12) + (60 x 12) + (340 x 2) + 500 + (100 x 12)

= 4,680 + 720 + 680 + 500 + 1,200

= $7,780

The annual ROI is:

= (10,200 - 7,780) / 10,200 x 100%

= 31.1%

Therefore, the annual return of the investment is 31.1%.

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"Your question is incomplete, probably the complete question/missing part is:"

Buying rental property is an investment option that carries a higher risk than some other options. However, the returns can be good. Assume you have purchased a single-

family home that you intend to rent for $850 per month. You will have the following expenses:

Monthly mortgage $390

Monthly insurance $60

Semiannual property taxes $340

Repairs (yearly estimate) $500

Monthly lawn care or snow removal $100

The return on investment for the property is

% (Round to one decimal place.)

The correct relationship is Δ PDN ≅ Δ MDL

The quadrilateral is a type of 2D geometrical shape with four sides, the sum of its interior angles is 360°.

Given that, Quadrilateral LMNP has diagonals LN and MP. The two diagonals intersect at Point D. If D is the midpoint of LN and MP.

Considering the triangles, Δ PDN and Δ MDL

According to definition of midpoints,

LO ≅ ON

MO ≅ OP

∠ MDL ≅ ∠ PDN  (vertically opposite angles)

Therefore, Δ PDN ≅ Δ MDL by SAS rule.

Hence, option a) Δ PDN ≅ Δ MDL, is correct.

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Answer:

  x = 17/14 = 1 3/14

Step-by-step explanation:

You want the value of x in 8(x-3)+7=2x(4-7).

It often works well to simplify the equation first.

  8x -24 +7 = 2x(-3) . . . . . use the distributive property

  14x -17 = 0 . . . . . . . . add 6x

  x -17/14 = 0 . . . . . . divide by 14

  x = 17/14 = 1 3/14

180  possible  combinations does jason need to try

What is Permutation?

In mathematics, permutation relates to the act of arranging all the members of a set into some sequence or order. In other words, if the set is already ordered, then the rearranging of its elements is called the process of permuting. Permutations occur, in more or less prominent ways, in almost every area of mathematics. They often arise when different orderings on certain finite sets are considered.

What is a Combination?

The combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter. In smaller cases, it is possible to count the number of combinations. Combination refers to the combination of n things taken k at a time without repetition. To refer to combinations in which repetition is allowed, the terms k-selection or k-combination with repetition are often used.

If the combination begins with an odd digit

We have    3 * 2 * 3 * 2 * 3   =   108  possible  combinations

If  the combination  starts  with an even digit

We have  2 * 3 * 2 * 3 * 2 =   72  possible combinations

So 108  +  72  = 180  possible  combinations

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The probability of one name drawn from the hat is 0.7 if a hat contains the names of seven boys and three girls.

We know that probability is defined as the division of number of favorable outcomes to the total number of outcomes.

In hat number of names of boys are =7 and

number of names of girls are =3

So, total number of names are =number of boys names + number of girls names

=>total number of names are =7+3

=>total number of names are=10

Now, number of boys are =7

So, count of favorable outcomes is =7 and total number of outcome is 10

=>Probability of choosing a boy name is =number of favorable outcome/total number of outcome

=>P(E) = 7/10

=>P(E)=0.7

Hence, required probability is 0.7

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Answer:

Below

Step-by-step explanation:

It will be just two vertical lines    one at x = -2 the other at  x = 2

( There are no 'circles' ) ....here is a graph:

The slope of the points passes through the two points [tex](1,1)[/tex] and [tex](2,2)[/tex] is [tex]1[/tex].

When the equation of the line passes through the two points [tex](1,1)[/tex] and [tex](2,2)[/tex]

Then we can find the slope m is

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{2-1}{2-1} \\m=1[/tex]

The value of the slope is [tex]1[/tex].

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Answer:It was not until the eighteenth century that mathematician Leonard Euler (1707-1783) discovered a relationship between the three classical triangle centers.

Step-by-step explanation:

By using division, it can be calculated that

Each poodle will get 32.75 biscuits

What is division?

Division is the process by which value of single unit can be calculated from the value of multiple unit.

The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.

There is a well known formula for division

Divisor x Quotient + Remainder = Dividend.

This is a word problem on division

Number of dog biscuits Jenna has = 131

Number of poodles Jenna has = 4

Number of biscuits each poodle will get = 131 [tex]\div[/tex] 4 = 32.75

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Complete Question

Jenna has 131 dog biscuits. She wants to give them as gifts to each of her 4 poodles. How many biscuits does each poodle get?

After solving, the solution set of the give inequality is (-1, 3)

In the given question, we have to find the solution set of the given system of inequalities.

The given inequalities are

x+y≥2...................(1)

4x+y≥-1.................(2)

To solve the given inequality we use the elimination method.

Multiply equation 1 by 4 on both side, we get;

4x+4y≥8...................(3)

Subtract equation 3 and 2, we get;

3y≥9

Divide by 3 on both side we get;

y≥3

Put the value of y in equation 1

x+3≥2

Subtract 3 on both side, we get;

x≥-1

Hence, the solution set of the give inequality is (-1, 3).

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The write question is;

Which point is the solution set of the given system of inequalities?

x+y≥2

4x+y≥-1

Answer:

A positive association between two variables means that as the values of one variable increase, so do the values of the other variable. This is often represented by a line or curve that slopes upward to the right on a scatterplot. On the other hand, a negative association between two variables means that as the values of one variable increase, the values of the other variable decrease. This is often represented by a line or curve that slopes downward to the right on a scatterplot.

option c is correct

c. the observations must be independent

A Chi-square test is a hypothesis testing method. Two common Chi-square tests involve checking if observed frequencies in one or more categories match expected frequencies.

Types of Chi-square tests

You use a Chi-square test for hypothesis tests about whether your data is as expected. The basic idea behind the test is to compare the observed values in your data to the expected values that you would see if the null hypothesis is true.

There are two commonly used Chi-square tests: the Chi-square goodness of fit test and the Chi-square test of independence. Both tests involve variables that divide your data into categories. As a result, people can be confused about which test to use. The table below compares the two tests.

given that

a basic assumption for a chi-square hypothesis test is

given options are

a. the population distribution(s) must be normal

b. the scores must come from an interval or ratio scale

c. the observations must be independent

d. none of the other

from the above options

the population distribution is need not to be normal

there is no need to come from an interval or ratio scale

but the observation need to be independent

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