(c) Given that the average speed for the entire journey was 80 km/h, form an equation in x and solve the equation.​

Answers

Answer 1

Answer:

80x = y

Step-by-step explanation:


Related Questions

(c) The result of a number, when increased by 40%, is 2.1. Find the number. ( c ) The result of a number , when increased by 40 % , is 2.1 . Find the number .​

Answers

Answer:

1.5 is the number.

Explanation:

Let the number be 'n', this is 100% - original number.

When increased by 40%, 100% + 40% = 140%.

140% × n = 2.1

1.4n = 2.1

n = 2.1/1.4

n = 1.5

Hence, the original number is 1.5.

Is in between 2 number on the number line

Answers

Answer:

D

Step-by-step explanation:

Answer:

between 3 and 4

Step-by-step explanation:

3 squared is 9 and 4 squared is 16 so something in between 3 and 4 can be squared to equal 10 (since a square root is the opposite of squaring)

What is the measure of

Answers

60.......................


the number of cows in the field minus 12...

Answers

Answer:

maybe minus 12 there was no number of cows

Answer:

x - 12

Step-by-step explanation:

x represents the number of cows since we do not know the number

then "minus 12"

bada bing bada boom

What is the period of the function y=tan (4/pi (x-pi/3))
O 3 units
O4 units
O 6 units
O 8 units

Answers

Answer:

Period = 4 units

Step-by-step explanation:

Standard form of a tangent function:

[tex]f(x)=\sf A \tan(B(x+C))+D[/tex]

A = vertical stretchπ / |B| = period (distance between any two consecutive vertical asymptotes)C = phase shift (horizontal shift - positive is to the left)D = vertical shift

The tangent function has a vertical asymptote whenever cos(x) = 0

The tangent function does not have an amplitude because it has no maximum or minimum value.

Given function:

[tex]y=\tan \left(\dfrac{\pi}{4}\left(x-\dfrac{\pi}{3}\right)\right)[/tex]

Therefore:

Vertical stretch (A) = none[tex]\textsf{Period}=\dfrac{\pi}{\left|\dfrac{\pi}{4}\right|}=4[/tex]Phase shift (C) = π/3 to the rightVertical shift = none

Answer: 4 units

Step-by-step explanation:

Mr wong predicted that he would sell 45 automobiles , he actually sold 48

Answers

Answer:

well done mr wong lol

Step-by-step explanation:

what's the question is it the percent he beat his prediction?

if it is then its 48 divided by 45 times 100

this equals 106.67%

then take this away from his prediction percent originally which is 100%

106.67-100= 6.67%

Given: ∠CBA ≅ ∠FBA; ∠CAB ≅ ∠FAB

Prove: ΔBCA Is-congruent-to ΔBFA

Answers

The proof is shown below

What is congruency?

Two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

Given:

∠CBA ≅ ∠FBA; ∠CAB ≅ ∠FAB

Now, ∠BCA is congruent to ∠BFA      [reflexive property of congruence]

Also, AB= AB  (common)

Thus, we can conclude that Δ BCA≅ Δ BFA  by ASA criteria.

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Hey, any help would be very needed thanks so much!!

Answers

Let's take this problem step by step:

To find the ordered pair of the system:

⇒ must set both equations equal to each other

    ⇒ must solve for 'x'

Let's solve:

 [tex]x^2-2x+3=-2x+28\\x^2-2x+3+2x-28=0\\x^2-25=0\\(x-5)(x+5)=0[/tex]

Let's find the x-values:

 [tex](x-5)=0\\x=5\\\\(x+5)=0\\x=-5[/tex]

Let's find f(x)'s value for each of the 'x':

[tex]x=5\\f(5)=-2(5)+28=18\\\\x=-5\\f(-5)=-2(-5)+28=38[/tex]

Answer: (5, 18), (-5,38)

Hope that helps!

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How many solutions are there to the system of equations graphed below if
the lines are parallel?
O A. Zero
O B. Two
C. Infinitely many
O D. One

Answers

D. Infinitely many because the lines will never Intersect which means there are infinitely solutions

A person paid by the hour works 22 hours a week and makes $359. How much would they make if they work
37 hours?
Round your answer to 2 decimal places.

Answers

Answer:

$ 603.77

Step-by-step explanation:

Find unit rate of  dollars per hour :   359/22

   now multiply by hours :    359/22  * 37 = 603.77

Answer:

$603.77

Step-by-step explanation:

if they work 22 hours a week

and once a week they make $359

therefore divide to get the hourly rate

359/22 = 16.3181818182

they make 16.3181818182 per hour

then we have to multiply the hourly by the hours worked

16.3181818182 * 37 = 603.772727273

since this is in dollars ($) we round to the second decimal place (hundredths)

meaning we cut off the numbers after it

603.77║2727273

then, determine if the thousandths place is equal to or greater than five or less than five

since it is a 2 then the 7 stays the same

if it were a 5 or greater we would round up, making the 7 in the hundredth place turn into an 8.

therefore your answer is $603.77

hope this helps:)

Line A and Line B are perpendicular. The slope of line A is -0.5. What is
the gradient of line B? Give reasons.

Answers

Answer:

Step-by-step explanation:

When 2 lines are perpendicular, their slopes are negative reciprocals of one another.  Here, if the slope of A is -1/2, the slope of B is +2/1, or just 2.

Find the vertex and focus of the
parabola:
y²-10y + 4x + 21 = 0
Vertex = ([?],
[]
Focus=([], [])

Answers

Answer:

Vertex: (1, 5)

Focus: (0, 5)

Step-by-step explanation:

Given that the parabola's equation is y² - 10y + 4x + 21 = 0, solve for the vertex and the focus.

Vertex:

Step 1: Isolate x to the left side of the equation; we get x = - (y² / 4) + (5y / 2) - (21 / 4).

Step 2: Complete the square of the previous equation; here we get - (1 / 4) * (y - 5)² + 1. x is squal to this.

Step 3: Use the vertex form, x = a(y - k)² + 1. a is - 1 / 4, h is 1, and k is 5.

Step 4: Fill in (h, k). We get the answer (1, 5) as the vertex.

Focus:

Step 1: Find p, and distance from the vertex to the focus. We can find p by using 1 / (4a).

Step 2: Simplify. This gives us -1 as p.

Step 3: We plug in the values we just got earlier to get the vertex. The focus of a parabola can be found by using: (h + p, k).

Step 4: Substitude the values. We have (1 + -1, 5).

Step 5: Simplify. Therefore, the answer is (0, 5).

This took me a long time to calculate. Please mark me as Brainliest!!!

This uservabove me did it all for you. I don't have much to say...

Which is the graph of the system of inequalities y 2x-and y ≤ 2x + 6
4x
2
ANVA
-6-4-22 26
-6-4-
-6-4
2
246
O
246
2
O
x
246

Answers

Answer: Option 1

Step-by-step explanation:

The second and third options do not contain the line y = 2x+6, so they can be eliminated.

Between the first and fourth options, only the first option shows the line y=2x+6 being shaded below, so it is the answer.

The graph of the inequality is graph A

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

y ≥ ( 1/5 ) ( 4x - 1 )   be equation (1)

y ≤ 2x + 6   be equation (2)

Now , To graph the system of inequalities, we can start by graphing the boundary lines for each inequality and then determine which region of the coordinate plane satisfies both inequalities.

For the first inequality, y >= (1/5)(4x-1), we can start by graphing the line y = (1/5)(4x-1), which has a y-intercept of -1/5 and a slope of 4/5. We can draw this line as a solid line, since the inequality includes the "or equal to" condition:

And , for the second inequality, y <= 2x+6, we can graph the line y = 2x+6, which has a y-intercept of 6 and a slope of 2. We can also draw this line as a solid line, since the inequality includes the "or equal to" condition:

Hence , the inequality is solved and the solution to the system of inequalities is the shaded region above the line y = (1/5)(4x-1) and below the line y = 2x+6, including the boundary lines.

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Consider the table below.

x y
-1 -5
0 5
1 11
2 13
3 11

Complete the standard form equation representing the quadratic relationship displayed above, where a, b, and c are constants.

Answers

The standard equation is:  y = (-2)x² + 8x + 5

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x ax²+bx+c=0, with a ≠ 0 .

We know,

y = ax² + bx + c

For (-1, -5)

-5 = a - b + c..................(1)

For (0, 5)

5 = c

For (1, 11)

11 = a + b + c.....................(2)

From (1) and (2), we get

a=-2

and b= 8

Hence, the standard equation is:

y = (-2)x² + 8x + 5

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What is the value of f^-1 (-3)

Answers

According to the plot of [tex]f(x)[/tex], whose curve passes through the point (-5, -3), we have

[tex]f(-5) = -3 \implies f^{-1}(-3) = \boxed{-5}[/tex]

what is the factored form of x^3 - 729

Answers

Answer:

(x - 9)(x^2 + 18x + 81).

Step-by-step explanation:

Use the difference of cubes factorization, which claims that a^3 - b^3 = (a - b)(a^2 + ab + b^2)

x^3 - 729 = (x - 9)(x^2 + 18x + 81)

Answer:[tex](x-9) (x^{2} +9x + 81)[/tex]

Step-by-step explanation:

could someone please help me with this ​

Answers

Answer:

  ia) center: (0, 0), the origin

  ib) angle: 90°

  ic) direction: CCW

  ii) LM ≅ L'M', ∠L ≅ ∠L'

  iii) (2, 1)

Step-by-step explanation:

A rigid transformation preserves size and shape of a figure, so the image is congruent to the original. The rigid transformations are rotation, reflection, and translation. Each has characteristics that allow one to determine the nature of the transformation(s) involved.

__

rotation

angle and direction

One way to determine the angle and direction of rotation of a figure is to compare a horizontal segment on the original with the corresponding segment on the image. Here, a convenient segment is NM, which is horizontal and points to the right. Its angle relative to the direction of the +x axis is 0°.

The transformed segment N'M' points upward, at an angle relative to the +x axis of 90°. This tells you the figure was rotated 90° in the CCW direction. (This is fully equivalent to a rotation of 270° in the CW direction.)

center

Points in a rotated image always remain at the same distance from the center of rotation as the original points. In most cases, the center of rotation is the origin. We can check to see if that is the case by looking at the distances of a couple of points from the origin.

  N is at coordinates (1, 1), so is √(1² +1²) = √2 from the origin

  N' is at coordinates (-1, 1), so is √((-1)² +1²) = √2 from the origin

  L is at coordinates (1, 3), so is √(1² +3²) = √10 from the origin

  L' is at coordinates (-3, 1) so is √((-3)² +1²) = √10 from the origin

This confirms that the origin is the center of rotation.

__

Since each point and its image are on a circle centered at the center of rotation, the line between them is a chord of that circle. The perpendicular bisector of that chord goes through the center of rotation. Here, we observe that the perpendicular bisector of NN' is the y-axis. The perpendicular bisector of LL' is a line with slope -2 through (-1, 2). It will intersect the y-axis at the origin, confirming the origin as the center of rotation.

__

geometric relationships

A rigid transformation preserves lengths and angles, so any length or angle on the rotated figure is congruent to the original:

 LM ≅ L'M', MN ≅ M'N', NL ≅ N'L'

  ∠L ≡ ∠L', ∠M ≡ ∠M', ∠N ≡ ∠N'

__

translation

The components of a translation vector add to the corresponding coordinates of a point.

  L +v = L'

  (1, 3) +(1, -2) = (2, 1) . . . image of point L

Identify the geometric mean of 9 and 9/4.

Answers

The geometric mean of 9 and 9/4 will be 9/2 or 4 1/2.

How to calculate the mean?

It should be noted that in order to find the geometric mean of the numbers given, give to find the square root and then multiply.

This will be:

= ✓9 × ✓9/4

= 3 × 3/2

= 9/2 = 4 1/2

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pe-intercept Equatic
Question 4 of 10
If f(x) = 5x - 12, what is f(2)?

Answers

f(2) = 5(2) - 12
That show f(2) = -2

Answer:

f(2) = 2

Step-by-step explanation:

Given function:

f(x) = 5x - 12

To Find:

f(2)

Solution:

Well,it is absolutely clear from the problem,that x = 2.So just substitute 2 in x's place on the function,then simplify using PEMDAS.

[tex]f(x) = 5x - 12[/tex]

[tex]f(2) = 5(2)- 12[/tex]

[tex]f(2) = 10 - 12[/tex]

[tex]\boxed{f(2) = - 2}[/tex]

Hence,f(2) is equal to -2.

Is LMN OPQ If so name the congruence postulate that applies

Answers

The triangle is congruent by SSS congruency because the corresponding two sides of two triangles are of the same measurement Hence, Option D is correct.

What is SSS congruency?

If the corresponding two sides of two triangles are of the same measurement, then the considered pair of triangles are congruent.

We have given two triangles that are congruent to each other;

LMN is congruent to OPQ

Given;

LM = OP

MN = PQ

LN = OQ

Thus, the triangle is congruent by SSS congruency because the corresponding two sides of two triangles are of the same measurement

Hence, Option D is correct.

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Solve for x. Round to the nearest hundredth sin x ≈ 0.965926
how do u do a problem like this?

Answers

In the given equation, the value of x is approximately 75°

Trigonometry

From the question, we are to determine the value of x

The given equation is

sin x ≈ 0.965926

If sin x ≈ 0.965926

Then,

x ≈ sin⁻¹(0.965926)

∴ x ≈ 75.0°

Hence, the value of x is approximately 75°

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Which method is better to solve the following equation?
²-25=0
Your answer:
O Quadratic Formula
O Square Rooting
Clear answer
Next

Answers

square rooting because you have to find the inverse of the equation to solve

Given:

p: Angles XYZ and RST are vertical angles.
q: Angles XYZ and RST are congruent.

Which statement is logically equivalent to p → q?

A. If angles XYZ and RST are congruent, then they are vertical angles.
B. If angles XYZ and RST are not vertical angles, then they are not congruent.
C. If angles XYZ and RST are not congruent, then they are not vertical angles.
D. If angles XYZ and RST are vertical angles, then they are not congruent.

Answers

Answer:

C

Step-by-step explanation:

The contrapositive is always logically equivalent to the original statement.

Answer:

C

Step-by-step explanation:

Given the following formula, solve for a.

Answers

Answer:

A. a = 2s - b -c

Step-by-step explanation:

Rearrange the equation in a way that you have only a on one side. When solving equations you can add, subtract, multiply or divide by the same number/variable/expression on the both sides.

[tex]s = \frac{a + b + c}{2}[/tex]

Multiply by 2 to get rid of the fraction.

[tex]s \cdot 2 = \frac{a + b + c}{2} \cdot 2[/tex]

On the right side the 2 cancels out:

[tex]s \cdot 2 = a + b + c[/tex]

On the right side next to a are still b and c. But we want a alone. Subtract b.

[tex]s \cdot 2 - b = a + b + c - b[/tex]

b - b on right side gives 0.

[tex]s \cdot 2 - b = a + c + 0[/tex]

The step above is usually skipped, because number + 0 = number.

[tex]s \cdot 2 - b = a + c[/tex]

Next to a there is still c. Subtract c.

[tex]s \cdot 2 - b - c = a + c - c[/tex]

c - c on the left is 0.

[tex]s \cdot 2 - b - c = a[/tex]

So our answer is:

[tex]s \cdot 2 - b - c = a[/tex]

It can be rewritten to (change sides):

[tex]a = s \cdot 2 - b - c[/tex]

And s · 2 can be rewritten to 2s:

[tex]a = 2s - b - c[/tex]

Claire and jane did an examination together. jane scored 9 more marks than claire and her marks were 60% of the sum of their scores. what are the scores of each student?

Answers

The score of Jane is 27 and the score of Claire is 18.

A linear equation is an equation where highest degree of variables is 1.

Let the score of Jane's mark is x

Given, that score Jane is 9 more than the score of Claire.

So, the score of Claire= x-9

Given, the score of Jane is 60% of the sum of their scores.

the sum of their scores is = x+x-9= 2x-9

from the above it is clear that

the linear equation will be

x=60%(2x-9)

⇒x=0.6(2x-9)

⇒x= 1.2x -5.4

⇒1.2x-x= 5.4

⇒0.2x= 5.4

⇒x= 5.4/0.2

⇒x= 27

So the score of Jane is 27.

As score Jane is 9 more than the score of Claire.

the score of Claire is = x-9= 27-9=18

Therefore the score of Jane is 27 and the score of Claire is 18.

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Please answer this thanks

Answers

Answer: down below

Step-by-step explanation:

1. How many hay bales did the farmer sell?

To do that, you need to divide the weight of a hay bale by the total weight of the hay bales that the farmer sold.

That will be 24,300 / 75 = 324 bales

2. Divide the new number (26,700) by the same number 75.

26,700 / 75 = 356 hay bales

Subtract the bales from last year to the bales from this year:

356 bales - 324 bales = 32 bales

Work out m and c for the line:

y = 2 − 3 x

Answers

Answer:

m = -3

c = 2

Step-by-step explanation:

This equation is given in slope-intercept form. The general structure of these equations is:

y = mx + c

In this form, "m" represents the slope and "c" represents the y-intercept. As you have been given the entire equation, the only thing you have to do is rearrange the equation to find which values correspond with the variables.

y = 2 - 3x  -----> y = -3x + 2

Therefore,

m = -3

c = 2

Y = mx + c
This is the equation to find linear graphs
You have
Y = 2 - 3x
Rearranged
Y = + 2 - 3x
Y = -3x + 2
So

What do you think m and c are if
Y = mx + c and

Y = -3x + 2

Can someone help me?

Answers

Answer:

A. 7 and 3D. 1 and 5

is 9x=63,x=7 true or false​

Answers

Answer:

True

9 * 7 = 63

Therefore when x=7 9x=63

The equation given is true since 7 is the solution.

What is an Equation?

An equation is the statement of two expressions located on two sides connected with an equal to sign.

The two sides of an equation is usually called as left hand side and right hand side.

The given equation is 9x = 63.

There is only one variable here, x.

We have to solve this equation and find whether the solution is 7 or not.

Solution of the equation is the value of x.

9x = 63

Divide both sides of the equation by 9, then, we get,

9x / 9 = 63 / 9

9 gets cancelled in the left hand side and 63/9 = 7.

So we get,

x = 7

So the given statement is true that for 9x = 63, the solution is x = 7.

Hence the given equation is true.

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after this i will only have 4 questions please and ty!

Answers

Answer:D

Step-by-step explanation:

this expression gives the original price reduce by 15%. The second term adds the tax to the price after the sale has been applied

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Which of the following is a slow rise of plastic deformation under the action of shear stresses when it is below the yield strength of the material.a.Brittle Structureb.Ductile fracturec.Creepd.Fatigue Most enlightened despots:A) were tried and executed.B) censored the ideas of the philosophers.C) showed interest in the ideas of the philosophers.D) successfully implemented most of the ideas of the philosophers. if n 18 = find n Need help simple explanation if possible What can be inferred about the Cyclops in this excerpt from Homers Odyssey? "The land of Cyclops first, a savage kind, Nor tamed by manners, nor by laws confined: Untaught to plant, to turn the glebe, and sow, They all their products to free nature owe: The soil, untill'd, a ready harvest yields, With wheat and barley wave the golden fields; Spontaneous wines from weighty clusters pour, And Jove descends in each prolific shower, By these no statues and no rights are known, No council held, no monarch fills the throne; But high on hills, or airy cliffs, they dwell, Or deep in caves whose entrance leads to hell. Each rules his race, his neighbour not his care, Heedless of others, to his own severe." A.The Cyclops is warm and hospitable toward his guests. B.The Cyclops cares for his neighbors well-being and advice. C.The Cyclops does not follow typical rules of the civilized human world. D.The Cyclops can survive only in the deep, dark caves on the island. If you vacillate, do you make immediate and decisive choices?Yes or No Mrs. Andrews asked how a Private Fee - for - Service ( PFFS ) plan might affect her access to services since she receives some assistance for her health care costs from the State . What should you tell her ? Changing the business task involves defining a new _____. what are the three areas on the dashboard that let you find and perform every feature and function you need in quickbooks online? Determine how many kilojoules are absorbed when 341 g of Ca(OH)2 reacts via the following reaction:Ca(OH)2(s)CaO(s)+H2O(l),H=+65.3kJ the patient has a significant visual impairment (category 2) due to astigmatism in the left eye. it is corrected with glasses. the right eye has normal vision. what icd-10-cm code(s) is/are reported? Which word is the best antonym for invincible. a. quickly forgottenb. not athleticc. easily defeated