there are three consecutive odd integers such that if the second is subtracted from twice the sum of the first and third,the result is 52 more than the first. find the sum of the first and second

The equation of the line that passes through the point (8, 2) and has a slope of -3/4 is y = -3/4(x-8)+2.

In the given question we have to find the equation of line that passes through the point (8, 2) and has a slope of -3/4.

The given points are (8, 2).

The slope(m) = -3/4

The standard equation of slope intercept form is

y-y(1) = m(x-x(1))

From the question; x(1) = 8 and y(1) = 2.

Putting the value

y-2 = -3/4(x-8)

Add 2 on the both side, we get

y = -3/4(x-8)+2

Hence, the equation of the line that passes through the point (8, 2) and has a slope of -3/4 is y = -3/4(x-8)+2.

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2 printers takes 7 minutes to print the same number of leaflets.

From the question, we have

1 printers takes 14 minutes to print the leaflets.

2 printers takes = 14/2 = 7 minutes to print the leaflets.

Divide:

Divide, in its simplest form, means to divide into two or more equivalent portions, spaces, groups, or divisions. Divide, in plain English, means to provide the entire thing to a group in equal portions or to divide it into equal pieces. Let's say a square is divided into two triangles with equal areas by a diagonal. A division operation may or may not provide an integer as the outcome. The outcome may occasionally take the form of decimal numbers.

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Answer: 7

Step-by-step explanation: because 1 printer takes 14 mins but if u have 2 u half the 14 it gives you 7 so it will take 2 printers 7 mins to print the same amount of leaflets. hope this helps.

Answer:      List all of the solutions.

3.75

=

1.89

=

dollar

=

3

=

Step-by-step explanation:

well, the reduction in value is £12500 - £11625 = £875.

if we take 12500 to be the 100%, what is 875 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 12500 & 100\\ 875& x \end{array} \implies \cfrac{12500}{875}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{100}{7}=\cfrac{100}{x}\implies 100x=700\implies x=\cfrac{700}{100}\implies x=7[/tex]

Answer: El porcentaje de reducción exacto es de: 7%, con esto el precio de descuento es de €875.

Answer:

j=3

Step-by-step explanation:

distribute

-3(j-8)+-6=-9

-3j+24-6=9

-3j+18=9

-3j=-9

j=3

Hopes this helps pleae mark brainliest

Answer:

j = 9

Step-by-step explanation:

Let's solve for the value of j,

→ -3(j − 8) + (-6) = -9

→ -3j + 24 - 6 = -9

→ -3j + 18 = -9

→ -3j = -9 - 18

→ j = (-27)/(-3)

→ j = 27/3

→ [ j = 9 ]

Hence, the value of j is 9.

Answer:

156.7 m (nearest tenth)

Step-by-step explanation:

Define the variables:

If the distance needed to stop a car varies directly as the square of its speed:

[tex]\boxed{d \propto v^2 \implies d=kv^2}[/tex]

where k is the constant of proportionality.

Given:

To find the constant of proportionality, k, substitute the given values into the equation:

[tex]\begin{aligned}\implies 120&=k(70)^2\\k&=\dfrac{120}{70^2}\\k&=\dfrac{6}{245}\end{aligned}[/tex]

Substitute the found value of k back into the formula to create an equation for the given relationship:

[tex]\implies d=\dfrac{6v^2}{245}[/tex]

To find the distance (in meters) required to stop a car at 80 km/h, substitute v = 80 into the equation:

[tex]\implies d=\dfrac{6(80)^2}{245}[/tex]

[tex]\implies d=\dfrac{6\cdot 6400}{245}[/tex]

[tex]\implies d=\dfrac{7680}{49}[/tex]

[tex]\implies d=156.73469...\; \sf m[/tex]

[tex]\implies d=156.7\; \sf m\; (nearest \;tenth)[/tex]

Therefore, the distance required to stop a car at 80 km/h is:

Answer:

SHe got a 8 on the 8th quiz

Step-by-step explanation:

The score for eighth quiz is 8.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

The average for 5 quiz marks is 8.

So, total quiz point = 8 x 5

                                = 40

Now, for next two the score are 7 and 8

The Total quiz point= 40 + 7+ 8= 55

let x be score on the 8th quiz

55+ x /8= 7.5

52 + x = (7.5)(8)

x = 60 - 52

x= 8

Hence, the score for eighth quiz is 8.

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Answer:

  B

Step-by-step explanation:

You want to know the 15% down payment, the mortgage amount, the value of 1 point, and the total interest cost for a 6.5% 30 year loan on a $210,000 home.

The answer choices all have the down payment as $31,500 and the loan value as $178,500. A "point" is one percent of the loan value (not the home value), so ...

  1 point = 0.01 × $178,500 = $1785 . . . . . . eliminates choices A and C

The difference between choices B and D is in the value of the interest paid. Your experience with 30-year loans in this interest rate range tells you that the interest paid is between 1 and 2 times the loan value. That is, the chice $227,667 is more likely correct than the choice $406,167.

Comparing these two numbers, we see they differ by 178,500, which is the value of the loan. That is, we can guess that 406,167 is the total amount repaid, not just the interest.

Answer choice B is the only one that makes sense.

If you like, you can work the problem.

  down payment = 15% × $210,000 = $31,500

  loan amount = $210,000 -31,500 = $178,500

  one point = 0.01 × $178,500 = $1785

The monthly payment is found using the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

  A = 178500(0.065/12)/(1 -(1 +0.065/12)^(-12·30)) ≈ 1128.24

The monthly payment amount is about $1128.

So, the total repaid is 360 payments of $1128.24, or $406,167.

The interest paid is this amount less the principal:

  interest paid = $406,167 -178,500 = $227,667

The radius of the cone is 10√(3/πh) inches when the volume of the cone is 100 cubic inches.

According to the question,

We have the following information:

Volume of cone = 100 cubic inches

We know that the following formula is used to find the volume of cone:

Volume of cone = π[tex]r^{2}h/3[/tex] where r is the radius of the cone and h is the height of the cone

π[tex]r^{2}h/3[/tex] = 100

Now, using the cross multiplication method:

π[tex]r^{2}[/tex]h = 100*3

Dividing both sides of the equation by πh:

[tex]r^{2}[/tex] = 300/πh

r = 10√(3/πh) inches

We can also solve it further by putting the value of π.

Hence, the radius of the cone is 10√(3/πh) inches when the volume of the cone is 100 cubic inches.

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Both function in item I is decreasing, and the function in item II is increasing.

What is function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.

What is domain?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

What is range?

The difference between the lowest and highest values in a list or set is known as the range. Put all the numbers in order before determining the range. The lowest number should then be subtracted from the highest. The range of the list is provided in the response.

1) As shown in the I that the function is in 3rd quadrant so thats why it decreases.

2)As show in II figure if ;

x1 = -1 ,y1 = -1

x2 = 0 , y2 =2

x3 = 1, y3 = 5

from the above observation it is clear that ;

x1<x2, y1<y2, x2<x3, y2<y3

So, the II item is increases (monotone increasing)

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The potential outliers, given the normal annual precipitation in the different U.S. cities are E. 59.4; 65.3.

Outliers in a data distribution are values or data points that are far from the other points in the data. These can be statistically significant when they distort measures of central tendency such as mean.

In this case, the potential outliers in the normal annual precipitation 59.4 and 65.3 because they are far from the highest annual precipitation (before them) of 47.2 inches. 9.2 inches is quite low but it is close to 12.3 inches and 13.6 inches and so is not an outlier.

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Answer:

2:52

Step-by-step explanation:

Multiply by 2

X= 20 & Y= 70 in right-angled triangle .

What is right angle triangle?

2X + 140 = 180

2X = 40°

   X = 20°

X + Y = 90°

   Y = 70°

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Answer:

$13,720.00

Step-by-step explanation:

Calculate simple interest using the equation A = P(1 + rt)

A = $41,720.00

Interest = total repayment - original cost

$41,720.00 - 28,000 = $13,720.00

The two blanks on the left side of the equation and the solution blank should be completed with the following ratios:

2050 kg/1 m³ × 2.2 lb/1 kg × 1 m³/35.3 ft³ = 127.76 lb/ft³.

In Mathematics, a conversion factor simply refers to a number that is typically used to convert a number in one (1) set of units to another, either by dividing or multiplying.

Generally speaking, an appropriate conversion factor to an equal unit of value must be chosen and used when it is necessary to perform any mathematical conversion.

Conversion:

2050 kg/1 m³ × 2.2 lb/1 kg = 4,510 lb/1 m³

4,510 lb/1 m³ × 1 m³/35.3 ft³ = 4,510 lb/35.3 ft³

4,510 lb/35.3 ft³ = 127.76 lb/ft³.

Additionally, take note of the following units of conversion:

In conclusion, we can logically deduce that the crate's density is equal to 127.76 pounds per cubic foot.

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Total number of postage stamp having total mass 1 kg = 50000 stamps

Unitary Method: What is it?

The unitary method involves first establishing the value of a single unit, followed by the value of the required number of units. What can be numbers and units?

Let's say you go to the store to purchase six apples. You are told by the shopkeeper that he is selling 10 apples for Rs 100. In this example, the value and the units are the cost of the apples. Understanding the units and values is crucial when using the unitary technique to a problem.

Always write the things that need to be estimated on the right side and the variables that are known on the left side to simplify the task. In the important in the current, the number of apples is known, but it is unclear what they are worth. It should be highlighted that issues with this method are addressed using the concepts of ratio and proportion.

Given That :

1 postage stamp is = 1 cg

now we will convert cg into g

1 cg = 0.01g

1 postage stamp is = 0.02g

now we will convert g into kg

1 g = 0.001 kg

0.01g = 0.00001kg

1 postage stamp is = 0.00002kg

so now

total number of stamp in 1 kg = 1/0.00002 = 50000

Hence the ans is 50000 stamps

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Using the z-distribution to test the hypothesis, it is found that:

1. You would not like to continue the game, as in each trial you are losing.

2. The p-value is of 0.0023.

3. The low p-value means that there is enough evidence to conclude that the coin is biased.

At the null hypothesis, it is tested if there is not enough evidence that the coin is biased, that is, the proportion of heads is of 0.5, hence:

[tex]H_0: p = 0.5[/tex]

At the alternative hypothesis, it is tested if there is enough evidence that the coin is biased, that is, it has a proportion of heads lower than 0.5, hence:

[tex]H_1: p_1 < 0.5[/tex]

The test statistic is given by the equation as follows:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which the variables are listed and explained as follows:

The values of these parameters are given as follows:

[tex]\overline{p} = \frac{0}{8} = 0, n = 8, p = 0.5[/tex]

Hence the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0 - 0.5}{\sqrt{\frac{0.5(0.5)}{8}}}[/tex]

z = -2.83.

Using a z-distribution calculator, and considering a left-tailed test, as we are testing if the proportion is less than a value, with z = -2.83, the p-value is of 0.0023.

Since this p-value is less than the standard significance level of 0.05, it means that there is enough evidence to conclude that the coin is biased towards tails.

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The price of one pear is $0.85

Cramer's rule is one of the useful methods used for solving a system of equations. In this method, the values of the variables in the system are to be calculated using the determinants of matrices. Thus, Cramer's rule is also known as the determinant method.

Given that: John buys 7 apples and 4 pears for $7.25 and at the same prices, Hayley buys 5 apples and 9 pears for $10.40

We will use this given information to form equations in matrices form. Let a and p represent the prices of one apple and one pear respectively.

The equation is:

7a + 4p = 7.25

5a + 9p = 10.40

The matrix formed is:

[tex]C=\left[\begin {array}{ccc}7&4\\5&9\end{array}\right][/tex] ,   [tex]b=\left[\begin {array}{ccc}7.25\\10.40\end{array}\right][/tex]

Find the determinants,

D =  (7 x 9) - (5 x 4) = 43

Da =  (7.25 x 9) - (10.40 x 4) = 23.65

Dp =  (7 x 10.40) - (5 x 7.25) = 36.55

a = Da/D = 23.65/43 = 0.55

p = Dp/D = 36.55/43 = 0.85

Since p = 0.85. Therefore, the price of one pear is $0.85

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Answer: dont be rude

Step-by-step explanation:

The probability that at least 40 rolls are necessary is 4/15.

What is probability?

Probability shows the likelihood of an event happening.  it can be calculated by dividing the number of outcomes of an event by the total number of possible outcomes or sample space. Probability is equal to '1' when the event is certain to occur. i.e P =1. It is less than '1' when it is not likely to occur. i.e P< 1

Probability P=no. outcomes/total no. of the possible outcomes

From the question;

No of out comes=40

No. of total possible outcome=150

Therefore probability P= 40/150

                                    P=4/15

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Answer:

1/4

Step-by-step explanation:

add all of them to get the sum which is 12. Since he asked for the blue which are 3. You put the 3/total which is 3/12. Then simplify. Which is equal to 1/4

The age of the three brothers, based on the relationship between the ages of Frankenstein, Pugsley, Gomez, is:

Frankenstein is older than Pugsley and so is not the youngest. Pugsley is not the youngest according to the question so Gomez must be the youngest.

Assuming Gomez's age is x, the relationship between their ages is:

Gomez age + Pugsley age + Frankenstein age = 34
x + x + 5 + x + 8 = 34

3x + 13 = 34

x = (34 - 13) / 3

x = 7 years

Pugsley's age is:

= x + 5

= 7 + 5

= 12 years

Frankenstein's age is:
= x + 8

= 7 + 8

= 15 years

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The compound interest is quaterly then answer is $266,022.2639 and when it is in continuously then answer is $275,579.4095

Quarterly compounding is what?

Compounding quarterly is the term used to describe the amount of interest that is earned on a quarterly basis on a savings account or investment where the interest is also reinvested. As most banks offer interest income on the deposits, which compounds quarterly, this information is useful in computing the fixed deposit income. It can also be used to figure out any revenue from money market instruments or other financial products that pay quarterly income.

What Does Constant Compounding Mean?

If compound interest is calculated and reinvested into the balance of an account across an essentially unlimited number of periods, continuous compounding is the mathematical limit that compound interest can reach. While this is not attainable in practice, the concept of continually compounded interest is crucial in finance. Given that most interest is compounded on a monthly, quarterly, or semiannual basis, this is an extreme example of compounding.

a) A = P(1 + r/n)nt  

P = $25000

r = 12% = 0.12

t = 20 years

n = 4

A = 25000(1 + 0.12/4)(4)(20)

A = $266,022.2639  (Answer)

b) A = Pert

P = $25000

r = 12% = 0.12

t = 20 years

A = 25000e(0.12)(20)

A = $275,579.4095   (Answer)

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The correct answer which define proportional relationship between x and y is OA line that goes through (0, 0) and (3.6, 14.4)

What does proportionality mean to you?

Any relationship that has a constant ratio is said to be proportionate. For instance, the ratio of proportionality is the average number of apples per tree, and the amount of apples in a crop is proportional to the number of trees in the orchard.

As we can see that in the given question [tex]\frac{x}{y} =\frac{1}{4}[/tex]
and there is only one option which fits this ratio is third one


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Answer:

to simplify the dude aboves' answer its C

Step-by-step explanation:

 A line that goes through (0, 0) and (3.6, 14.4)

Answer:

OB. g(x) = 31x1

C. g(x) = 13x1

Step-by-step explanation:

Answer:  y intercept:  (0, -1/7)

Step-by-step explanation:

First you start with y = 10x - 1/7

Since your finding the y-intercept, you turn the 10x into a 0

So you would have y = -1/7

So y = -1/7

is your answer!

The null and alternative hypotheses for the research will be H0: µ ≥ 60 vs Ha: µ < 60

In statistical hypothesis testing, null and alternative hypotheses are utilized. A test's null hypothesis always predicts that there will be no effect or relationship between variables, whereas the alternative hypothesis outlines your research prediction of an effect or link.

A null hypothesis is a straightforward contradiction of an alternative hypothesis. This implies that if one of the two hypotheses is correct, the other is incorrect.

The null and alternative hypotheses are two claims about a population that are mutually exclusive. In this case, the hypothesis are illustrated above.

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There are 3 1/4's in 3/4, hope this helps.

Answer: 3

Step-by-step explanation: since they are the same denominator it is basically asking how many 1s go in 3

The end of the graph is

As x approaches infinity, f open argument x close argument approaches negative infinity., , As x approaches negative infinity, f open argument x close argument approaches infinity

The end behavior of function typically says the characteristics of the function at the ends

This is determined by examining the graph and the coordinates.

The end behavior is can be written as

x ⇒ ∞ f(x) ⇒ -∞

x ⇒ -∞ f(x) ⇒ ∞

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