If point R is the greatest integer smaller than √51 on a number line, what is the value of point R?​

The equations have no solutions and run parallel to one another. The pair of linear equations is hence inconsistent.

Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.

The definition of linear equations, the standard form for linear equations involving one variable, two variables, or three variables, and examples of each will all be covered in detail in this article.

Find the value of the variable that causes the equation to be true in order to solve linear equations.

Utilize the inverse of the variable's multiplier and divide or multiply both sides by it.

To obtain the variable value, simplify the result. Put your solution back into the equation to verify it.

So, we have the pair of linear equations:

x – y = 8 and 3x – 3y = 16

(a1/a2) = 1/3

(b1/b2) = -1/-3 = 1/3

(c1/c2) = 8/16 = 1/2

Since, we know that (a1/a2) = (b1/b2) ≠ (c1/c2).

The equations have no solutions and run parallel to one another. The pair of linear equations is hence incoherent.

Therefore, the equations have no solutions and run parallel to one another. The pair of linear equations is hence inconsistent.

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Complete question:

Find out whether the following pairs of linear equations x – y = 8 and 3x – 3y = 16 are consistent/inconsistent.

Answer:

post cards cost .06 each and envelopes cost .08 each.

Step-by-step explanation:

Let p = the cost of the post cards

Let e = the cost of the envelopes

15p + 10e = 1.70

e = p + .02  Substitute  p + .02 for e in the first equation

15p + 10(p + .02) = 1.70   Distribute the 10

15p + 10p + .2 = 1.70     Combine like terms

25p + .2 = 1.70  Subtract .2 from both sides

25p = 1.50  Divide both sides by 25

p = .06

Post cards cost .06 each.

Envelopes cost .08 each

Answer: 25 dogs

Step-by-step explanation:

We know that every 4 cats will be with 5 dogs

So

First, take 20 divided by 4 = 5

Then take 5 times 5 = 25 dogs

The actual percentage of female people with ppd is more than 12%.

Many women experience postpartum depression (commonly known as PPD), which is a medical disorder. After giving delivery, there are intense emotions of sadness, anxiety (concern), and exhaustion that persist for a long time. You may find it challenging to care for both you and your infant as a result of these feelings. PPD can occur at any point following childbirth. Within 1 to 3 weeks of giving birth, it frequently begins. To get better, it need treatment.

And that's basically what TS% is. A measure of scoring efficiency based on the number of points scored over the number of possessions in which they attempted to score. The actual TS% formula multiplies the denominator by 2 to put the number into a percentage scale, but it's the same result on a different scale

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Answer:

C, D, E, and F

Step-by-step explanation:

C is correct because if you have a negative exponent in the denominator, you can make it positive by flipping the fraction over. Therefore, you end up with the simplified given expression.

D is correct because according to exponent rules, you subtract the exponents when you divide.

E is correct because they both equal 729 when calculated.

F is correct because the given expression equals 729 when calculated.

Answer:

35

Step-by-step explanation:

Answer:

Step-by-step explanation:

andrea lb: 164.5cm

andrea ub: 165.5 cm

joel lb: 165

joel ub: 175

Answer:

6

Step-by-step explanation:

Trust the process

According to the equation model V=P(1-r)^t, the approximate value of Doug's car after 4¹/₂ years is $9,200.

The equation is a mathematical statement or model that shows that two mathematical expressions are equal.

In this situation, the mathematical expressions equal to each other are V, the car's depreciated value, and P(1-r)^t, which combines variables.

Cost of the new car = $25,000

Depreciation rate per annum = 20%

Value of the car = V

The price paid initially = P = $25,000

The annual rate of depreciation = r

Depreciation period = 4¹/₂ years

Equation model: V=P(1-r)^t

Depreciated value after 4 1/2 years, V = $25,000 (1 - 0.2)^4¹/₂

= $9,158.93

= $9,200

Thus, using the equation model, after 4¹/₂ years, the value of Doug's car has depreciated to $9,200.

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Cost of one sandwich is $7 and cost of milkshake $5.

What is an equation?

In arithmetic, associate equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.

Main body:

According to question:

let cost of one sandwich be x and cost of milkshake be y .

7x + 5y = $79           -------(1)

2x + 5y = $44          -------(2)

subtracting equation 2 from 1 , we get

5x = 35

x = $7

so cost of one sandwich is $7.

now substituting value of x in equation 1 , we get

7(7) + 5y = 79

49 +5y = 79

5 y = 20

y = 4

so cost of one milkshake is $5.

Hence cost of one sandwich is $7 and cost of milkshake $5.

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The variation of the individual measurements about their respective means is 2295.04.

Given that,

The table of the treatments and total amount is

                                            SS    DF MS           F

Among Treatments 4974.88          621.86 2.98

Error                                   ?  

Total                         7269.92     19

We have to find how do the various measurements differ from their respective means.

We know that,

We know the formula

SSE= SSTotal -SST

= 7269.92-4974.88

=2295.04

The variation of the individual measurements about their respective means is SSE that is 2295.04

Therefore, The variation of the individual measurements about their respective means is 2295.04.

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Answer:

An apple costs 0.30 pounds and a banana costs 0.40 pounds.

Step-by-step explanation:

Let's think of apples as x and bananas as y.

Using the given information, you can write two equations.

[tex]x+6y=2.70[/tex]

[tex]x+8y=3.50[/tex]

x can also be written as

[tex]x=2.70-6y[/tex]

We can plug this equation into the second one to solve for y, or the cost of a banana.

[tex](2.70-6y)+8y=3.50[/tex]

[tex]2y=0.8[/tex]

[tex]y=0.4[/tex]

Now that we know the cost of a banana, we can go back to the first equation and solve for x, or the cost of an apple.

[tex]x+6(0.4)=2.70[/tex]

[tex]x=0.30[/tex]

Therefore, an apple costs 0.30 pounds and a banana costs 0.40 pounds.

Answer:

The answer is (-4x² + x + 2)

Step-by-step explanation:

(2x² - 4x + 3) + (5x - 6x² - 1)

open the brackets

2x² - 4x + 3 + 5x - 6x² - 1

rearrange the priority order

2x² - 6x² - 4x + 5x + 3 - 1

combine like terms

-4x² + x + 2

Thus, The answer is (-4x² + x + 2)

Answer: Yes

Step-by-step explanation: To determine if this graph represents a function, we use what is called the vertical line test.

In other words, if we can draw a vertical or straight up and down line that passes through more than one point on the graph, the relation is not classified as a function.

In this case, it's impossible to draw such a line that hits more than one point on the graph so the relation is a function.

Answer:

75.

Step-by-step explanation:

We need to divide 375 by 5 since we are looking for 5 times a number. This will give us the answer, 75.

Answer:

75.

Step-by-step explanation:

We need to divide 375 by 5 since we are looking for 5 times a number. so the answer is 75

 Third or upper quartile, or 75th percentile, is another name for this group. The figure at which 25% of the responses are higher and 75% of the answers are lower is known as the 75th percentile.

A suitable compromise between representing the great majority of measures and being unaffected by outliers is the 75th percentile. The 75th percentile is a suitable choice for identifying medium- to long-term trends even if it is less steady than the median. Additionally, we believe that when establishing performance budgets, the 75th percentile is the ideal figure to employ.  Although the term "percentile" is frequently used, it lacks a common definition. The most typical definition of a percentile is a number below which a predetermined proportion of scores fall. You may already be aware of your test score of 67 out of 90. But without you know the percentile you fall into, that number has no actual relevance. If you know that you scored in the 90th percentile, it signifies that you outperformed 90% of test-takers.

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Answer:

8/15

Step-by-step explanation:

There is no GCF (greatest common factor) in this. These numbers are relatively prime.

The number of hours to breakeven will be 5 hiurs

The breakeven is the point at which the cost and the revenue are equal.

Since Mitch sells thingamabobs. His revenue is modeled by the function R(h) = 5h+ + 8 for every h hours he spends working and his overhead cost is modeled by the function C'′(h) = h² + 7h − 16.

This wll be:

Revenue = Cost

5h + 8 = h² + 7h - 16

Collect like terms

h² + 7h - 5h - 16 = 0

h² - 2h - 16 = 0

Solving the equation will give h as 5.

The number of hours will be 5 hours.

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The value of x in the trapezium is 60 degrees.

A trapezium is a quadrilateral . The sum of angles in the trapezium is 360 degrees. The legs of the trapezium ABCD are congruent.

The length AB and CD are parallel to each other.

Let's find the angle x as follows:

Therefore, using trigonometric ratios,

cos x = adjacent / hypotenuse

Where

adjacent side = 3 m

hypotenuse side = 6 m

Hence,

cos x = 3 / 6

cos x = 1 / 2

x = cos ⁻¹ 0.5

x = 60 degrees

Therefore,

x = 60 degrees.

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-x2+3x-3=0 is the equation that  has the sum of its roots as 3.

A quadratic equation's roots are equal to the second term's coefficient negated, divided by the leading coefficient. The constant term (the third term), divided by the leading coefficient, is equivalent to the product of the roots of a quadratic equation.

Sum of roots= -b/a

Sum of root is defined as:

Sum of root = -b/a

Consider option B -x^2+3x-3

a=-1 , b=3

Sum of root= - 3/(-1)=3

So B is the correct option of the following question.

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The total maximum area enclosed by both the shapes square and a circle using given wire is equal to 2.27 square feet.

As given in the question,

Let 'x' be the side length of the square

And 'r' be the radius of the circle.

Length of the wire = 4 feet

Maximum side length of the square is:

4x = 4

⇒ x = 1feet

Maximum area of the square = x²

                                                = 1²

                                                = 1

Maximum radius of the circle is:

2πr = 4

⇒ r = 2 / π

Maximum area of the circle = πr²

                                              = π × (2/π)²

                                              = 4 / π

Total maximum area enclosed by square and a circle

= 1 + (4/π)

= 1 + 1.27

= 2.27 square feet.

Therefore, the total maximum area enclosed by square and a circle from the given wire is equal to 2.27 square feet.

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Answer:

angle B = 55°

.............

Answer:

[tex]\textsf{b)} \quad (x-3)^2+(y+1)^2=100[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{5 cm}\underline{Equation of a circle}\\\\$(x-h)^2+(y-k)^2=r^2$\\\\where:\\ \phantom{ww}$\bullet$ $(h, k)$ is the center. \\ \phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}[/tex]

Given:

Substitute the given center and radius into the formula to create the equation of a circle with the given parameters:

[tex]\implies (x-3)^2+(y-(-1))^2=10^2[/tex]

[tex]\implies (x-3)^2+(y+1)^2=100[/tex]

The equation of the line that passes through the point (-4,-4) is y=-x-8.

The general equation for every straight line is y = mx + c, where m is the gradient (or degree of steepness) of the line and c is the y-intercept (the point in which the line crosses the y -axis).

The three equation of line are slope-intercept form, standard form and point-intercept form.

4x+4y=-28

Taking 4 common and dividing both sides by 4 gives

x+y= -7

y=-x-7

This means slope that is m=-1.

Now to find c in y=mx+c we need to use points (-4,-4).

-4=(-1)(-4)+c

c=-8

So the equation of line is y=-x-8.

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Answer:

D 13 shirt

Step-by-step explanation:

9 [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{3}{4}[/tex]

[tex]\frac{39}{4}[/tex] x [tex]\frac{4}{3}[/tex] = 13

Answer: Answer is NONE

Step-by-step explanation:

I took the test

Answer:

$56.00

Step-by-step explanation:

Check:

1/4(56) + 3/7(56) + 18 =

14 + 24 + 18 = 56

See the picture below.  I wanted to figure out what fraction of the paycheck was the 18.

I took 1 which is the whole pay check and subtracted out the fractions that I knew were spent 1/4 and 3/7.   That left me with 9/28.  So I knew 9/28 of the paycheck was 18 dollars.  I drew out 28 squares.  9 of those squares was worth $18.  That meant that each square was worth $2.  2 x 28 = 56

Answer:

The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.