3,000 + 5,045x = 5,545x

The equation of a line that is parallel to line y=3x+5 and goes through the point (6,-7) is y = 3x + 2

A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system. The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line. Any line's equation can be used to determine whether a given point is on the line or not.A linear equation with a degree of one is the equation for a line.

Given that : the equation of a line is parallel to line y=3x+5 and goes through the point (6,-7)

y=3x+5 is the equation for the given line.

This type of line is called a slope intercept. The line has a slope of m=3.

The slope of parallel lines is equal. As a result, all lines with slope m=3 will be perpendicular to one another.

y=3x+2 is an example of a line that is parallel to the supplied line.

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Since the situation can be since as an  arithmetic sequence, her salary after 3 years is $73,000. After t years, her salary is a function of t, that is a(t) = 64000 + 3000 t

The given situation can be seen as an arithmetic sequence. The nth term of an arithmetic sequence is given by the formula:

a(n) = a(1) + (n - 1) . d

Where:

a(1) = the first term

d = the common difference.

The problem can be translated into an  arithmetic sequence with:

a(1) = $67000

d = $3000

Kylie's salary after 3 years is a(3),

a(3) = a(1) + (3 - 1) . d

a(3) = Kylie's salary  + 2 . 3000 = 73000

Hence, after 3 years, Kylie's salary is $73,000

Her salary after t years, means n = t. Therefore,

a(t) = a(1) + (t - 1) . d

a(t) = 67000 + (t -1) . 3000

a(t) = 64000 + 3000 t

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MATHEMATICALLY

[tex]s - p = 40[/tex]

IT SIMPLY MEANS THAT THE DIFFERENCE BETWEEN s as a large number and p as a small number is 40.

The value of m + n from getting the values of m and n from the constant polynomial P(x) = (2m - 4)x² + (5 - n)x + 13 is; 7

A constant Polynomial is defined as a polynomial is a function of the form f(x) = a

where a is a real number, whose highest degree is zero.

Thus, examples of constant Polynomials are f(x) = 5, g(x) = -11 , h(y) = 7/4

Now, we are given the polynomial expression;

P(x) = (2m - 4)x² + (5 - n)x + 13

From the definition of constant Polynomials, we can say that;

2m - 4 = 0 and 5 - n = 0

Thus;

m = 2 and n = 5

Then, m + n = 2 + 5 = 7

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The number of students in Señora Clara  is 300 students

20% of Señora Clara's students are going to Spain for a semester

60 students are going to spain

The number of students in  Señora Clara can by first calculating the percent of 20

20/100

= 0.2

Next is to divide 0.2 by 60

60/0.2

= 300

Hence there are 300 students in Señora Clara

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The cost c of these t-shirts in her currency of Krona is; C: 608.313 Krona

We are told that;

A foreign exchange student wants to buy gifts for her family.

She gets a deal at;

7 shirts = $97.93

Now, she wants to buy 5 shirts for her family at that given deal. Thus;

Cost of 5 shirts in dollars = (97.93 * 5)/7 = $69.95

Now, the exchange rate of dollar to krona is given as;

1 U.S. Dollar = 8.6964 Krona

Thus; $69.95 = (69.95 * 8.6964)/1 = 608.313 Krona

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Answer:

-9

Step-by-step explanation:

16-25=-9

Answer: -9

Step-by-step explanation:

Step-by-step explanation:

Momentum = Mass (kg) × ∆Velocity (m/s)

Momentum = 0.142kg × (45.1 -- 0)m/s

Momentum = 0.142 × 45.1

Momentum = +6.4042kgm/s

The magnitude is positive because only the pitcher can give the baseball its final velocity which appeared to be 45.1m/s

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Answer:

-1.5,-3,-16,011

Step-by-step explanation:

that is the answer as u know it has negative sign and -3 is smaller

Answer: -6, -3, -1.5, 0, 11

Step-by-step explanation:.

Answer:

£75 > £70 Therefore Sally is wrong.

Step-by-step explanation:

1. First we need to find the volume of the sand pit  

     60x40x100= 24,000[tex]cm^{3\\[/tex]

 Volume= 24,000[tex]cm^{3\\[/tex]

2. We need to convert 8 liters to [tex]cm^{3\\[/tex] so, all the units are the same

     1 liter= 1,000[tex]cm^{3\\[/tex]

     8 liters= 8,000[tex]cm^{3\\[/tex]

3. We then do 24,000[tex]cm^{3\\[/tex] divide by 8,000[tex]cm^{3\\[/tex] to see how many bags, we need

    24,000[tex]cm^{3\\[/tex]/ 8,000[tex]cm^{3\\[/tex] = 30

so, Sally needs 30 bags

4. We know one bag cost £2.50 to know how much 30 bags cost we do

   £2.50 x 30 = £75

so, we know 30 bags cost £75

5. Sally statement was said that it would cost less than £70 which is false as it costs £75

6. Therefore the final answer is £75>£70 so Sally is wrong.

Answer:

take x=1

2(1)-y=9

2-y=9

-y=9-2

y= - 7

= (1,-7)

The final expression of the simplified version is 28x + 8y + 2.

We know that, to simplify means to obtain the lowest possible form of the of the expression. The expression is written in its simplest form  when there are no more ambiguities left in the way that it is written.

Given the expression;

-2(3x + 12y - 5 - 17x - 16y + 4)

We can now expand the expression to have;

-6x - 24y + 10 + 34x + 32y - 8

This could further simplify to

-6x + 34x  - 24y + 32y + 10 - 8

To obtain the  final simplified expression, we have;

28x + 8y + 2

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Answer:

arc RPQ = 305°

Step-by-step explanation:

• the angle at the centre is equal to the measure of the arc that subtends it.

arc RP = ∠ ROP = 125°

∠ QOS and ∠ ROP are vertically opposite angles and are congruent, so

∠ QOS = 125° and so arc SQ = 125°

RS is a straight angle , then

∠ POS = 180° - 125° = 55°

arc PS = 55° ( arc subtending the angle at centre

Then

arc RPQ = RP + PS + SQ = 125° + 55° + 125° = 305°

The slope of AB = 2

The slope of CD = 2

Both lines are parallel lines.

The lines that are perpendicular to each other have slope values that are negative reciprocal of each other.

For example, if the a line's slope is a, the line that is perpendicular to it will have a slope of -1/a. This is because the negative reciprocal of a is -1/a, and (a)(-1/a) = -1.

On the other hand, the lines that are parallel to each other will have the same slope value.

Given the following:

A(−6 , −9)

B(8, 19)

C(0, −4)

D(2, 0)

Find the slope (m) of AB:

Slope of AB = (19 -(-9))/(8 -(-6))

Slope of AB = 28/14

Slope of AB = 2

Find the slope (m) of CD:

Slope of CD = (0 -(-4))/(2 - 0)

Slope of CD = 4/2

Slope of CD = 2

The graph of both lines are shown below.

Thus, the slope of AB and CD are the same, therefore, we can conclude that lines AB and CD are parallel to each other.

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The correct transformation for  f(x) = 3x+1 to g(x) = −3x−5 is a reflection over the y-axis, and a translation 4 units down. Option D

This is further explained below.

A point, line, or geometric figure may be transformed in one of four ways, each of which affects the shape and/or location of the object.

Pre-Image refers to the object's initial shape, while Image, after transformation, refers to the object's ultimate shape and location.

Generally, the equation for the function is mathematically given as

f(x) = 3x+1

The transformed function

g(x) = −3x−5

In conclusion, The transformations consist of Reflection along the y-axis.

The translation of down four units

Hence, a reflection over the y-axis, and a translation 4 units down. Option D

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The value of x is 26° and y is 9°.

A pair of neighboring angles created by the intersection of two lines is known as a linear pair of angles. When two angles share a vertex and an arm but do not overlap, they are said to be adjacent angles. Due to their formation on a straight line, the linear pair of angles are always complementary. So, the total of two angles in a pair of lines is always 180 degrees.

The value of x and y are : x= 26° and y= 9°.

As a linear pair, (5x - 17)° + (3x - 11)° = 180°.

or, 8x - 28°= 180°

8x = 180° + 28°

Therefore, the value of x is 26°.

Now,

3x - 11°= 3×26°-11° = 67°

Again,

67°+90°+(2y+5)° = 180° { being linear pair}.

157°+2y+5° = 180°

or, 2y + 162° = 180°

or, 2y = 180° - 162°

y =

Therefore, the value of y is 9°.

The value of x is 26° and y is 9°.

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In case whereby At a garage sale, Liyah priced her scooter for $15.50. She ended up selling it for $10.75 the percent of decrease in the price of the scooter is 30.65%.

The price that she bought the scooter is given as $15.50

The price that she sold the scooter is given as  $10.75

The the amount that was lost will now be ( $15.50-  $10.75 )= $4.75

Then the percent of decrease will now be calculated as  ($4.75/ $15.50 *100%)

Then the  percent of decrease will now be 30.65%

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Answer: 1.662E-7 square kilometers

Step-by-step explanation:

A circle of radius = 23 or diameter = 46 or circumference = 144.5 cm has an area of: 1.662E-7 square kilometers (km²) 0.1662 square meters (m²)

Let's use the variable x to represent the price of the television set before taxes.

If the tax rate is 4%, then the original price is multiplied by 1.04, so it is equal 1.04x.

The final price is $520, so we have:

So the price before taxes is $500.00.

Answer:

Step-by-step explanation:

1 . In the given triangle ΔNBA BO is a median.
By applying the property of median it divides the opposite side into two equal parts.
Therefore,
NO = OA ...(a)
We have,
NO = x+3 and OA = 2x-9

from (a)
NO = OA
x+3 = 2x-9
∴ 3+9 = 2x-x
∴ x = 12
∴ The Value of x is 12.

Que 2 - In ΔMTV
Given - TP is an angle bisector
             m∠MTP = 12 , m∠MTV = 3x - 3.
Ans - TP is an angle bisector which means it divides the angle into two equal parts. (By angle bisector theorem)
∴ m∠MTP = m∠VTP ..... (a)
m∠MTV = m∠MTP + m∠VTP
∴m∠MTV = 2(m∠MTP)
∴3x-3 = 2(12)
∴3x-3 = 24
∴3x = 24 + 3
∴3x = 27
∴ x = 27/3
∴ x = 9
∴ The Value of x is 9.

Answer:

a) No equation/Contradiction

b) One Solution/Conditional

c) Infinite Solutions/Neither

Step-by-step explanation:

a) you combine like terms: 7x+9=7x-8

    then subtract 7x from both sides, since 9 isn't equal to -8 there is no solution that would make it a contradiction

b) Combine likes: 13x-7=12x+21

    subtract 12 x: x-7=21

    add 7: x=14

c)  Combine like terms: -3x+24=-3x+24

     24=24

For given triangle, the value of x is 22.

In this question, we have been given three angles of triangle.

We need to find the value of x.

We can observe that (6x - 7)° is an exterior angle.

So, the third angle of the triangle is 180° - (6x - 7)°

We know that the sum of the all angles of the triangle is 180°

2x° + (103 - x)° + [180° - (6x - 7)°] = 180°

2x + 103 - x + 180 - 6x + 7 = 180

2x - x - 6x + 103 + 180 + 7 = 180

-5x + 290 = 180

-5x = 180 - 290

-5x = -110

x = 22

Therefore, for given triangle, the value of x is 22.

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From the given options,√75 and 5π are the irrational numbers with a value greater than 5.

Irrational numbers are real numbers that cannot be represented as simple fractions. It cannot be expressed mathematically.

We need to find an irrational value which is greater than 5 from the options given as follows:

A. √75

B. 5.9

C. 5pi

D. 5

Options B and D are not irrational numbers so both are incorrect options.

For Option A,

[tex]\sqrt{75}[/tex] = 8.66

For Option C,

5π = 15.70

We can see that both options A and C have irrational value greater than 5.

As a result, from the options given,√75 and 5π are irrational numbers with a value greater than 5.

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Answer:

see below

Step-by-step explanation:

The percentile rank of a value with a z-score of 1.33 as given in the task content is; 9.18% (10th percentile).

It follows from the task content that the percentage rank of.the value whose z-score is; 1.33 as in the task content is to be determined.

As evident in the image attached (z-score table) , it can be inferred that a z-score of 1.33 corresponds to 40.82% on the table.

Also, since the z-score is positive, the percentage of data values which are above the z score 1.33 is 50% - 40.82%.

And ultimately, the percentile rank of a value which has a z-score of 1.33 as given in the task content is therefore; 9.18%.

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There is a 0.0003 chance that the sample mean was 18.2 ounces or more if the actual mean is 18 ounces.

So, let Y be a random variable with box weights.

These are the sample size and mean:

N's standard deviation is then roughly followed by Y ( μ = 18, SD = 0.32).

Z score is displayed as:

Where z has a mean of 0 and a standard deviation of 1 and is a normal standard variable.

Given that the standard deviation is given and that sample size n is 30. y roughly follows the Normal distribution.

If the sample mean was 18.2 ounces or more and the actual mean was 18 ounces, the probability that this was the case is given as:

[tex]\begin{aligned}&P[Y \geq 18.2]=P\left[\frac{\sqrt{n(y-u)}}{S D} \geq \frac{\sqrt{30}(18.2-18)}{0.32}\right. \\&=P\left[z \geq \frac{\sqrt{30}+0.2}{0.32}\right] \\&=P\left[z \geq \frac{1.0954}{0.32}\right] \\&=P[z \geq 3.4233] \\&=0.0003\end{aligned}[/tex]

Therefore, there is a 0.0003 chance that the sample mean was 18.2 ounces or more if the actual mean is 18 ounces.

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Answer:

75deg

Step-by-step explanation:

the angle for the entire thing is 131 degrees. Since you are given angle 1 you can subtract that value from the whole to find the remaining degrees. So 131-56=75

Answer:

18

Step-by-step explanation:167-5=162

95-5=90

18is hcf of 162 and 90 then answer is 18