The value of a car depreciates by 35% each year
At the end of 2007 the value of the car was £5460
Work out the value of the car at the end of 2006​

Answer:

6

Step-by-step explanation:

Let the number be x.

1/3 × 12 = 2/3 × x

Multiply.

12/3 = 2/3x

4 = 2/3x

Multiply both sides by 3/2.

4 × 3/2 = x

12/2 = x

x= 6

Answer:

1/3 of 12 = 2/3 of 6

Step-by-step explanation:

1/3 · 12 = 2/3 · x

12/3 = 2x/3

Multiply 3 on both sides.

12 = 2x

12 ÷ 2 = x

6 = x

Answer:

[tex] t = 17.3 [/tex]

Step-by-step explanation:

Given:

∆TUV,

m < T = 87°

VT = u = 11

TU = v = 14

VU = t = ?

Use the Law of Cosines to find t as shown below:

[tex] t^2 = u^2 + v^2 - 2uv*cos(T) [/tex]

[tex] t^2 = 11^2 + 14^2 - 2*11*14*cos(87) [/tex]

[tex] t^2 = 121 + 196 - 308*0.0523 [/tex]

[tex] t^2 = 317 - 16.1084 [/tex]

[tex] t^2 = 300.89 [/tex]

[tex] t = 17.3 [/tex] (rounded to the nearest tenth)

Answer:

D. I hope it helps!

Step-by-step explanation:

Darius is correct if only the median score is considered.

just took the quiz on edg.

Step-by-step explanation:

[tex]5(x - 2) = 5x - 7 \\ 5x - 10 = 5x - 7 \\ 0 = 3[/tex]no solutions

[tex]6x + 5 = 6x + 11 \\ 5 = 11[/tex]

no solutions

Answer:

1 3/5

Step-by-step explanation:

2/5 ÷ 1 /4

Reciprocal.

2/5 × 4/1

Multiply.

8/5

Convert to a mixed fraction.

1 3/5

The required mixed number is given as 3 1/5 and in simplest form, it is 8/5.

Given that,
To evaluate 2/5 divided 1/4,

Fraction is defined as the number of compositions that constitutes the Whole. Fraction is representation as a/b where a and b are integers.

Here,
According to the question,
= [2/5 ]/ [1/4]
= 2/5 × 4 / 1
= [2 × 4] / [5 × 1]
= 8 / 5

Now,
Mixed number = 8/5 = 3 1/5

Thus, the required mixed number is given as 3 1/5 and in simplest form, it is 8/5.

Learn more about fractions here:
https://brainly.com/question/10708469

#SPJ3

Answer:

the length of the side opposite = 20.6 feet

Step-by-step explanation:

using SOHCAHTOA

Sin 40 = opp / hyp

Sin 40 = opp / 35

opp = sin 40 x 35

opp = 20.6 feet

Answer:

The correct answer is B.

Step-by-step explanation:

There is no clear rule regarding the relationship with these numbers. So it is not linear.

Good Luck!

Answer:

The answer is given below

Step-by-step explanation:

In triangle EFG, let a = EG, A = ∠f, b= 1.3 in, B = ∠G, c = 2.4 in C = ∠E = 48°

Using cosine rule:

[tex]c^2=a^2+b^2-2ab*cos(C)\\a^2-2ab*cos(C)=c^2-b^2\\Substituting:\\a^2-2a(1.3)cos(48)=2.4^2-1.3^2\\a^2-1.74a=4.07\\a^2-1.74a-4.07=0\\a=3\ or\ -1.34\\a=EG=3\ inches[/tex]

EG = 3 inches

Using sine rule,

[tex]\frac{b}{sin(B)} =\frac{c}{sin(C)}\\ Substituting:\\\frac{1.3}{sin(B)} =\frac{2.4}{sin(48)}\\sin(B)=\frac{sin(48)*1.3}{2.4}=0.4025\\ B=sin^{-1}(0.4025)=23.7^0[/tex]

∠G = B = 23.7°

Given ΔXYZ ≅ ΔEGF,

Therefore: ZX = EF = 1.3 inches, m∠X = m∠G =23.7 °, m∠Z = m∠F = 107°

ZY = FG = 2.4

Answer:

ZX = 1.3 in.

EG = 3 in.

m∠X = 48°

m∠G = 25°

Step-by-step explanation:

ΔXYZ ≅ ΔEGF

107 + 48 = 155

m∠G = 180 - 155 = 25

Answer:because that’s what the answer is

Step-by-step explanation:

Answer:

Y=1/2x-3

Step-by-step explanation:

Answer:

39.2.

Step-by-step explanation:

Think of the word "of" as a sign that you have to multiply.

- Hope this helped you.

Answer:

39.2

Explanation:

To solve this problem, we must first convert the forty percent into a decimal

⟹ 40% = 0.40

Next, multiply forty percent (as a decimal) by ninety eight

⟹ 0.40 × 98 = ?

⟹ 0.40 × 98 = 39.2

Therefore, forty percent of ninety eight is 39.2.

Answer:

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-1}{2}[/tex]

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 2x + 1 ( subtract 1 from both sides )

y - 1 = 2x ( divide both sides by 2 )

[tex]\frac{y-1}{2}[/tex] = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , so

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-1}{2}[/tex]

Answer:  " f⁻¹(x) = (x-1)/2  ";  or, write as:

___________________________________

              " f⁻¹(x) = (x/2) - (1/2) " .

___________________________________

Step-by-step explanation:

___________________________________

Given:   f(x) = 2x + 1 ;  Find the inverse:

___________________________________

1)  Rewrite as y = 2x + 1 ;

2) Replace the "x" with "y" ; and the "y" with "x" ; and rewrite:

         x = 2y + 1 ;

3)  Now, "solve"; with "y" standing alone as a single, isolated variable on the left side of the equation, with an "equals" sign following the "y" :

         x = 2y + 1 :

Subtract "1" from each side of the equation:

         x - 1 = 2y + 1 - 1 ;

to get:

         x - 1 = 2y ;

___________________________________

↔  Rewrite as :

2y = x - 1 ;

Now, divide each side of the equation by "2" ;

  to isolate "y" on the left-hand side of the equation;

  & to solve in terms of "y":

___________________________________

2y / 2 = (x-1)/2 ;

___________________________________

to get:

y = (x-1)/2 ;

or; write as:  y = (x/2) - (1/2);

___________________________________

Now, rewrite; by replacing the "y" with "f⁻¹(x) "; as follows (to indicate that this is the "inverse function"):

___________________________________

f⁻¹(x) = (x-1)/2 ;  or, write as:

___________________________________

f⁻¹(x) = (x/2) - (1/2) .

___________________________________

Hope this is helpful to you!

 Best wishes!

___________________________________

Answer:

40%

Step-by-step explanation:

He made 48 naira.

48 = 40% * 120

Answer:

If we look at the table we notice that 2 + 4 = 6, 3 + 4 = 7, 4 + 4 = 8 and so on so the equation is y = x + 4.

Answer:

x+4

Step-by-step explanation:  

To solve this question we must look at the examples :

6-2=4

7-3=4

so the aswer is : y = x + 4

Answer:

The measurement found using Ruler 2 is more accurate and more precise.

Step-by-step explanation:

Ruler 1 has fewer tick marks, Ruler 2 has more which indicates  a more precise, exact, accurate reading.

option B is correct on edge

Step-by-step explanation:

Answer:

Part A) The correct Expression : (1.05)(190)(0.8)

=> The error of Joel was that instead of adding the sales tax, he subtracted it.

Part B) $159.60

Step-by-step explanation:

Part A:

To calculate the computer cost, we need to find out the selling price first.

There's a discount of 20% so the selling price will be 100% - 20% = 80% =>80/100 = 0.8

So, We'll multiply the cost price by 0.8

=> (190)(0.8)

But, there is a sales tax of 5%

So, the selling price with cost price will be:

=> 100% + 5% = 105%  => 105/100 = 1.05 (We'll multiply this too with the first equation that we made above)

So, the expression will be:

=> (1.05)(190)(0.8)

The error of Joel was that instead of adding the sales tax, he subtracted it.

Part B)

Joel will pay for the tablet:

=> (1.05)(190)(0.8)  [We used the above expression]

=> $159.60

Answer:

[tex]\frac{3}{80}[/tex]

Step-by-step explanation:

90 cm in metres is = 0.09 m

Writing it as a fraction of 2.4 m

=> [tex]\frac{0.09 m}{2.4 m}[/tex]

In simplest form

=> [tex]\frac{3}{80}[/tex]

Answer:

a7 = 38

Step-by-step explanation:

n is the term indicator

an = 5n+3

Let n=7 if we are looking for the 7th term

a7 = 5*7 +3

a7 = 35+3

a7 = 38

Step-by-step explanation:

Since your question is incomplete, I have given you two different options based on your incomplete question.

Hope you understand this.

HAVE A GOOD DAY!

Answer:

It's (B)

Step-by-step explanation:

Step-by-step explanation:

10b+5+18b+10

28b+15 is the answer

Answer:

28b+17

Step-by-step explanation:

=> 5(2b+1) + 6(3b+2)

Expanding the brackets

=> 10b+5+18b+12

Combining like terms

=> 10b+18b+5+12

=> 28b+17

Answer:

5x = 60

Step-by-step explanation:

Let the number be x.

The product of 5 and x equals 60.

5 × x = 60

5x = 60

Hey there!

Answer:

5x = 60.

Step-by-step explanation:

If a product (multiply) of 5 and a number equals 60:

x - represents a "number"

5 · x = 60

5x = 60.

Answer:

Area of sphere = 576 pi ft^2

Volume of sphere = 2,304 pi ft^3

Step-by-step explanation:

Radius of great circles are the same as radius of the sphere

So let’s calculate the radius of the sphere from the area given;

Mathematically;

pi * r^2 = 144pi

r^2 = 144

r = square root of 144

r = 12 ft

Volume of sphere = 4/3 * pi * r^3

= 4/3 * pi * 12^3 = 2,304 pi ft^3

Area of sphere = 4 * pi * r^2 = 4 * pi * 12^2 = 4 * 144 * pi = 576 pi ft^2

Answer:

5/4,1.3,1 8/25

Step-by-step explanation:

5/4 = 1.25

1 8/25=1.32

1.25<1.3<1.32

2/19, 1/18, 1/4, 1/3

sorry about that.

Answer:

Ascending order is 2/19,1/18,1/4,1/4

Step-by-step explanation:

I hope this will help you:)

Answer:

1:3

Step-by-step explanation:

4:12 divides by 4 to give

1 : 3

Answer:

n = 3

Step-by-step explanation:

1:n = 4:12

1/n = 4/12

Cross multiply.

4n = 12

n = 12/4

n = 3

Answer:

C.) (1/2, 4)

Step-by-step explanation:

The solution is where the two lines intersect

The lines intersect at x = .5 and y =4

Answer:

C.) (1/2, 4)

Step-by-step explanation:

Answer:

a = 3

b = -2

c = 5

Step-by-step explanation:

The general form of a quadratic equation is ax² + bx + c = 0.

3x² - 2x + 5 = 0

The value of a is 3.

The value of b is -2.

The value of c is 5.

Answer:

Its A

Step-by-step explanation:

i got it right

Answer:

$112.50

Step-by-step explanation:

so the first thing you would do is add 12 to 13 to get

12 + 13 = 25

then multiply 25 by 4.50 to get

25 x 4.50 = 112.50

so the average number of tips the server has received is $112.50

Answer:

a. £564

b. £141

Step-by-step explanation:

a. Firstly, we add up the ratios

= 5 + 4 + 3 = 12

Amanda’s share was 5

Let the total amount be £x

Thus; 5/12 * x = 235

5x = 12 * 235

x = 2820/5 = 564

The total cost of the holiday is £564

b. We want to calculate what Bethany paid

That would be 3/12 * 564 = £141