If K parallel to L find the value of a and the value of b.

Answer:

£25

Step-by-step explanation:

Total price- £53.55

Pair of trainers cost- £38 before discount

Discount= 15%

Cost of pair of trainers after discount:

Price of the watch after discount:

Price of the watch before discount:

Answer:

It's (B) [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Hope this helped you!

Answer:

f^-1(8) = 3/2

Step-by-step explanation:

f(x) = 2x + 5

y = 2x + 5

x = 2y + 5

2y = x - 5

y = (x - 5)/2

f^-1(x) = (x - 5)/2

f^-1(8) = (8 - 5)/2

f^-1(8) = 3/2

Answer:

Check Explanation.

Step-by-step explanation:

Although, the density curve for this question is missing and isn't available online, I would use an example of another density curve to explain how this could be easily done.

From the density curve attached to this question, the total area under the curve is the are of the triangular shape formed by this curve with the x-axis.

Total Area under the curve = ½×base×height

= ½ × (5-1) × 0.5 = 1 square unit

Area under the density curve where x is less than 4 is a trapezium.

Area of a trapezium = ½ (a+b) h

For the area under the density curve where x is less than 4,

a = 0.5, b = (0.5/4) = 0.125, h = (4-1) = 3

Area under the density curve where x is less than 4 = ½ (0.5+0.125) × 3 = 0.9375 square unit

In terms of the total area, Area under the density curve where x is less than 4 covers

(0.9375/1) × 100% = 93.75%

Hope this Helps!!!

Answer:

184

Step-by-step explanation:

46 divided by .25

Answer:

200 Ribbons

Step-by-step explanation:

To break even Lucas needs to sell 200 ribbons --> this is because, =>

let's make an expression for this equation -->

x = amt. of ribbons

y = expense or revenue

x(0.25) = y + x(0.02)

Let's plug he given in --> 0.25x = 46 + 0.02x -->

now we can solve => x = 200

Hope this helps!

Answer:

The circumference is 6908 miles.

Step-by-step explanation:

C=πd

C=π*2200

C=3.14*2200

C=6908

Option B is correct.

Answer:

b

Step-by-step explanation:

Answer:

Nico's method is correct

Step-by-step explanation:

Lauren carelessly forgot to add the negative sign

[tex]-\frac{4}{5} = \frac{-4}{-5}[/tex]

Answer:

Distance = 162.5 to 2dp.

Step-by-step explanation:

Alex car drives 65km = 40mins we round up to 1hr

= 1/2 x 65 + 65 = 32.5 +65 = 97.5  km p/h

Roy is 1/4 faster (As Alex speed is 3/4 of Roy)

To find 3/4 we divide by 3  then, add the 97.5  km etc..

97.5/3 =  + 32.5km = 130 km/ph

To check we only have to divide by 4

130 / 4  = 32.5

We know 32.5 is 1/4 we can add this on as 15minutes.

130 km = 1hr +

32.5 km = 15 mins

Distance = 162.5 km

Answer:

162.50 km

Step-by-step explanation:

Alex: 40 minutes for 65 km

speed = distance/time = (65 km)/(40 min) * (60 min)/(1 hr) = 97.5 km/h

Alex's speed = 3/4 of Roy's speed

Roy's speed = (Alex's speed)/(3/4) = (97.5 km/h)/(0.75) = 130 km/h

speed = distance/time

distance = speed * time

time = 1 hour + 15 minutes = 1 hour + 15/60 hour = 1.25 hour

distance = 130 km/h * 1.25 hour = 162.50 km

Answer:

A. [tex] x = \frac{5}{p} [/tex]

Step-by-step explanation:

[tex]px + 12 = 17 \\ px = 17 - 12 \\ px = 5 \\ x = \frac{5}{p} [/tex]

Answer:

[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]

Step-by-step explanation:

Given

[tex]A = \left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]

[tex]B = \left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]

Required

2A - 4B

To solve 2A - 4B, we first multiply matrix A by 2 and matrix B by 4

So, if

[tex]A = \left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]

[tex]2A = 2 *\left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]

[tex]2A = \left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right][/tex]

If

[tex]B = \left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]

then

[tex]4B = 4*\left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]

[tex]4B = \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]

So; 2A - 4B becomes

[tex]\left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right] - \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}-2-28&18-(-4)&4-(-4)\\20-24&-20-(-16)&4-(-12)\\-10-(-40)&12-40&-10-(-28)\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}-30&18+4&4+4\\20-24&-20+16&4+12\\-10+40&12-40&-10+28\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]

Hence, 2A - 4B is equivalent to

[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]

Answer:

I'm not sure, but I think it is (0, -6).

Answer:

third option

Step-by-step explanation:

Given

x² - x - 6 = 0 ← in standard form

(x - 3)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x + 2 = 0 ⇒ x = - 2

Answer:

x = -2 or x = 3

Step-by-step explanation:

The answer to your question is C.

Answer:

A , B and C are similar to each other

Step-by-step explanation:

Please give me branlest

Answer:

axis of symmetry: x=-1

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

The formula used to find the area of a triangle is 1/2base *height

The base is 16 so half of 16 is 8 then multiply it with the height 8 to get 64.

Area of obtuse triangle is 64 sq. units

"A triangle whose any one of the angles is an obtuse angle or more than 90 degrees, then it is called obtuse-angled triangle or obtuse triangle."

Given

Base of triangle = 16

Height of triangle = 8

Formula to find the area of obtuse triangle

A = [tex]\frac{1}{2}[/tex] × [tex]base[/tex] × [tex]height[/tex]

A = [tex]\frac{1}{2}[/tex] × [tex]16[/tex] × [tex]8[/tex]

A = 8 × 8

A = 64

Hence, Area of obtuse triangle is 64 sq. units

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Answer:

Alex: 18

Thomas: 12

Step-by-step explanation:

A : T : TOTAL

3 : 2 : 3 + 2 = 5

total number of units : 5

total number of sweets : 30

1u = 30 ÷ 5 = 6

Alex = 3u = 3 × 6 = 18

Thomas = 2u = 2 × 6 = 12

Answer:

I would think it is supplementary.

Step-by-step explanation:

If 2 angles equal 180 degrees, then they are supplementary.

Answer:

B. False

Step-by-step explanation:

Given

[tex]Points: (x_7 - y_i),(4,8)[/tex]

Required

Is the distance between them [tex]\sqrt{(x_7 - 8)^2 + (y_1 - 4)^2}[/tex]

Given that there are two points, the distance between them is calculated using

Distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

In this case;

[tex](x_1,y_1)= (x_7 - y_i)\\(x_2,y_2) =(4,8)[/tex]

Substitute these in the given formula

Distance = [tex]\sqrt{(4- x_7)^2 + (8 - y_1)^2}[/tex]

Comparing this with the given formula, both are not the same;

Hence, the formula is false and the correct formula is of the form [tex]\sqrt{(4- x_7)^2 + (8 - y_1)^2}[/tex]

Answer:

0.50

Step-by-step explanation:

Do the opposite of addition

So 1.25 - 0.75

The solution to the equation 1.25 = 0.75 + r for r is r = 0.5

From the question, we have the following parameters that can be used in our computation:

1.25 = 0.75 + r

Add -0.75 to both sides of the equation

so, we have the following representation

-0.75 + 1.25 = 0.75 + r + -0.75

Evaluate the like terms on the right hand side

This gives

-0.75 + 1.25 = r

Evaluate the like terms on the left hand side

This gives

0.5 = r

Rewrite as

r = 0.5

Hence. the solution is 0.5

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Answer:

24

Step-by-step explanation:

Alright so the number has to be above 20 and below 35.

It has to be even, so our options are 22, 24, 26, 28, 30, 32, 34

Since the sum of the digits has to be 6, the only number from that list that it can be is 24.

This works because 24 is also evenly divisible by 4 (6x4=24) so it fits all of the criteria.

Hope this helps!

Answer:

24

Step-by-step explanation:

This works because 24 is also evenly divisible by 4 (6x4=24) so it fits all of the criteria.

Hope this helps!

Answer:

A sequence is defined as an arrangement of numbers in a particular order. On the other hand a series is defiend as the sum of the elements of a sequence!

Answer:

Function f(x) is positive for the values x ≤ -6 and x ≥ -2 and negative in the interval -6 ≤ x ≤ -2.

Step-by-step explanation:

As given in the graph,

Given function is a quadratic function, f(x) = (x + 2)(x + 6)

With x-intercepts of the function, x = -6 and -2

Graph below the x-axis represents the negative values of the function.

Graph above the x-axis represents the positive values of the function.

Therefore, function f(x) is positive for the values x ≤ -6 and x ≥ -2 and the function is negative in the interval -6 ≤ x ≤ -2.

Answer: 98 is your answer

Step-by-step explanation:

Answer:

George Washington died on December 14th, 1799

Numerical with the arrangement: month - day - year

12 - 14 - 1799

Step-by-step explanation:

In the question, we are told that: the month in which he died and the day of the month on which he died are consecutive even integers whose product is 168.

Therefore,

If one positive even integer = Month he died is represented by x

The second consecutive even integer = Day he died = x + 2

Their product =

x ( x + 2) = 168

x² + 2x = 168

x² + 2x - 168 = 0

We factorise

x² + 14x - 12x - 168 = 0

(x² + 14x) - (12x - 168) = 0

x(x + 14) - 12(x + 14) = 0

(x - 12)(x + 14) = 0

x - 12 = 0, x = 12

x + 14 = 0 , x = -14

Our answer cannot be a negative interger, hence x = 12

So the first positive even integer = 12

The second positive even integer = x+2 = 12 + 2 = 14

Therefore, the month he died = n = 12th month = December

The day he died = n + 2 = 14 = 14th day.

Hence, George Washington died on December 14th, 1799

Numerical with the arrangement: month - day - year

12 - 14 - 1799

Answer:

(D)

Step-by-step explanation:

A proportional relationship is in the form of y=kx where k is the proportionality constant.

From the given options:

Consider the pairs (x,y) in Option D

(4,8),(7,14)(12,24),(15,30)

We can see that the proportionality constant is equal for the four pairs. Therefore, the set of pairs in Option D represents a proportional relationship.

Answer:

the correct answer is D

Step-by-step explanation:

just got it right on edge 2020

Answer:

the answer is B

Step-by-step explanation:

100 on the plato test

Answer:

A. the average income earned

B. the average tax rate

C. the minimum tax rate

D. the next year's tax rate

Step-by-step explanation:

Plato Users

Step-by-step explanation:

[tex] log(x) = 2 \\ {10}^{2} = x \\ x = 100[/tex]

then for y:

[tex] log( y) = - 1 \\ {10}^{ - 1} = y \\ y = 0.1[/tex]

so:

[tex]xy - 100 {y}^{2} \\ = 100 \times 0.1 - 100 \times {(0.1)}^{2} \\ = 10 - 100 \times 0.01 \\ = 10 - 1 \\ = 9[/tex]

Answer:

Solution,

Hypotenuse(h)=X

Perpendicular (p)=9

Base(b)=12

Now,

Using Pythagoras theorem,

[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {x}^{2} = {(9)}^{2} + {(12)}^{2} \\ or \: {x}^{2} = 81 + 144 \\ or \: {x}^{2} = 225 \\ or \: x = \sqrt{225} \\ or \: x = \sqrt{ {(15)}^{2} } \\ x = 15[/tex]

hope this helps...

Good luck on your assignment...

The length of the hypotenuse in the given triangle is A. 15 units.

This type of question makes a right-angled triangle that can be solved by Pythagoras's theorem.

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

Given, the base of the triangle is 12 units and the height is 9 units.

∴ x² = 9² + 12².

x² = 144 + 81.

x² = 225.

x = + 15 units.

So, the length of the hypotenuse is 15 units.

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Answer:

18 2-digit numbers.

Step-by-step explanation: There is

12, 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97. :)

hope this helps

Answer:

I believe the answer is 18 2 digit numbers

Step-by-step explanation:

I just counted them :)

12, 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97

These are all the 2 digit numbers!