The length of a rectangle is five more than triple the width. If the perimeter is 154 inches, what are the dimensions

Answer: 88.8 m , 59.2 m

Step-by-step explanation:

Given

Breadth is [tex]\frac{2}{3}[/tex] of length

Suppose length is x m

So, breadth is   [tex]\dfrac{2}{3}x[/tex]

Perimeter is given by [tex]P=2(L+W)[/tex]

Putting values

[tex]\Rightarrow 296=2(x+\dfrac{2}{3}x)\\\\\Rightarrow 296=2(\dfrac{5}{3}x)\\\\\Rightarrow x=\dfrac{296\times 3}{10}=88.8\ m[/tex]

Length L is [tex]88.8\ m[/tex]

width W is [tex]\frac{2}{3}x=59.2\ m[/tex]

Using compound interest, it is found that Freddie will have £7433 in his account in 8 years.

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

For the first two years, the parameters are given as follows:

P = 6600, r = 0.03, n = 1, t = 2.

Hence the amount is:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(2) = 6600\left(1 + 0.03)^{2}[/tex]

A(2) = 7002.

For the final 6 years, the parameters are:

P = 7002, r = 0.01, n = 1, t = 6.

Hence the amount after 8 years is:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(6) = 7002\left(1 + 0.01)^{6}[/tex]

A(6) = 7433.

Freddie will have £7433 in his account in 8 years.

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Answer:

4686

Step-by-step explanation:

Answer:

12m

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Since the triangle is equilateral then the 3 sides are congruent, then

2x = 6 ( divide both sides by 2 )

x = 3

and

3y = 6 ( divide both sides by 3 )

y = 2

Thus x = 3 and y = 2 → d

Answer:

4 1/2

Step-by-step explanation:

Jeremy ate 3 slices. Then bill ate half of 3 slices of pizza which is 1 1/2. Add them up and you get 4 1/2.

Answer:

x=-7

Step-by-step explanation:

7x2-x=7

7x2=14.

14-x=7

When you finished the last step, you will subtract 14 to both sides.

14-x=7

14-14-x=7-14

this will cancel out the 14 on the left.

And will leave you with:

-x=7-14

7-14 is -7.

and this will get you to

-x=-7

To finish this off, you have to turn the negative x/variable, into a positive x/variable.

So, you will divide both sides of the equation by the same term.

-x = -7

into

[tex]\frac{-x}{1} =\frac{-7}{1}[/tex]

and it will be -7.

I hope this helps      :)

Answer:

3

Step-by-step explanation:

50+10=60

20 x 3= 60

 Tom needs to sell at least 5 paintings to break even.

1. Cost price = Selling price − profit ( when selling price and profit are given )

2. Cost price = Selling price + loss ( when selling price and loss are given )

Given here each canvas and painting cost $10 and he bought brushes for $50. Now for each painting his profit is = $20-$10 = $10 but he has still miscellaneous expenses for the brushes to account for hence to break even he has to make a profit totaling $50 thus he must sell 5 paintings to break even.

Hence, he has to sell 5 paintings

Learn more about cost price and selling price here:

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Answer:

[tex]21n^{2} - 35[/tex]

Step-by-step explanation:

[tex]7n(-2n+5n-5)[/tex]

[tex]-14n^{2} + 35n^{2} - 35[/tex]

[tex]21n^{2} - 35[/tex]

Answer: 50 and 900 is correct

Step-by-step explanation:

50 and or 100

Answer:

the answer should be A

Step-by-step explanation:

hope it helps, have a good day :)

Answer:

Step-by-step explanation:

A line passing through point (x₁, y₁) with the slope of m in point-slope form:

 y - y₁ = m(x - x₁)

m = ¹/₃

(-6, 9)      x₁ = -6,  y₁ = 9

So:

y - 9 = ¹/₃(x - (-6))

y - 9 = ¹/₃(x + 6)     ←    point-slope form

y - 9 = ¹/₃x + 2        {add 9 to both sides}

y = ¹/₃x + 11        ←  slope intercept form

Answer:

1st, 3rd, 4th

Step-by-step explanation:

1st one: 43 x

multiply x by 43

7 x 43 = 301

7 x 43 = 258

10 x 43 = 430

3 x 43 = 129

4 x 43 = 172

(correct)

2nd one: 12x

multiply x by 12

2 x 12= 32

we know that 2 x 12 is 2 so this equation does not work

(incorrect)

3rd one: 202x

multiply x by 202

6 x 202 = 1212

4 x 202 = 808

10 x 202 = 2020

3 x 202 = 606

8 x 202 = 1616

(correct)

4th one: 13x

multiply x by 3

9 x 13 = 117

2 x 13 = 26

7 x 13 = 91

3 x 13 = 36

10 x 13 = 130

(correct)

Answer: y is less than or equal to -1

How?

The graphs highest value it will ever reach, range wise, is -1. Therefore it isnt 0, or all real numbers.

The reason why it is -1 and not -2 is because the curve hits -1. Sure, -2 is included in the range, but y is less than or equal to -1 INCLUDES -2

:)

Answer:

Increase

Step-by-step explanation:

Answer:

Increase.

Step-by-step explanation:

44.2cm is a higher number than 16cm.

Answer:

GRA

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sum of the two smaller sides of a triangle must be less than the longest side

a+b<c

Since 9+15>19 this is not a triangle.

Answer:

15 ft

Step-by-step explanation:

A right triangle is formed by h, the radius and the slant height

Given diameter = 16, then radius = 16 ÷ 2 = 8

Using Pythagoras' identity in the right triangle with legs h and 8 and hypotenuse the slant height, then

h² + 8² = 17²

h² + 64 = 289 ( subtract 64 from both sides )

h² = 225 ( take the square root of both sides )

h = [tex]\sqrt{225}[/tex] = 15

Answer:

Step-by-step explanation:

Answer:

{52,72,86,105}

Step-by-step explanation:

hope this helps   :)

If we were to take a cross-section of our planet on the equator, we would get a circle. So, the circumference of this circle is the distance one would have to travel to go around the earth. The formula for the circumference of the circle is 2 x r x pi. The radius of the Earth is r, and pi is approximately 3.1415. So, the circumference is 2 x 6370 x 3.1415, which equals 40 029 km, or approximately 40 thousand kilometers.

Answer: 12,740π. If you use pi as 22/7, you get 40040. If you use pi as 3.14, you get around 40004, so the circumference is basically around 40000

Step-by-step explanation:

Answer:

D

Imagine the triangles of the net going up to meet a point above the center of the square. This would lead to a shape with 5 sides, 4 of which are triangles. The only figure that has only triangles and squares making up the sides is figure D

answer:

the answers are undefined and zero ( and in that order )

step-by-step explanation:

for question 12,

x = 10

since that equation is just a vertical line, the slope is undefined!

but for question 13

y = -5

the equation is just a horizontal line rather then a vertical line, the slope is zero ( since it is not moving )

i hope this helps you and if you need anymore help then please feel free to ask me! :)

3 is the Coefficient in the following expression.

Answer:

43.5625 kilometers

Step-by-step explanation:

hi!

To solve this problem, you have to take note of the important information which is:

- 10.25 km/hour

- 4.25 hours

- how far did she travel?

To answer the question, you need to take Mia's hourly rate (10.25 km PER hour) and multiply that by how many hours she rode her bike for (4.25) which equals 43.5625 kilometers

10.25*4.25 = 43.5625 kilometers

I hope this helped :)

Answer:

17

Step-by-step explanation: