what is 75% of £60?​

Answers

Answer 1

Answer:

45

Step-by-step explanation:

75x60=4500

4500/100=45

Answer 2

Answer:

£45

Step-by-step explanation:

Take 75% of 60: [tex]\frac{75}{100}[/tex] × [tex]\frac{60}{1}[/tex] = [tex]\frac{4500}{100}[/tex]  To simplify, look at the denominator. There's a 100 in the denominator. And, 100 has two zeros at the end. In the numerator, we have 4500. 4500 has two zeros in the end as well. First, cancel out the two zeros in 100 to make it 1. Then, to make the fraction even, cancel out the two zeros in 4500 to make it 45. It should now look like this: [tex]\frac{45}{1}[/tex]. We know any number over 1 is itself. So, [tex]\frac{45}{1} = 45[/tex]  

Therefore, 75% of £60 is £45.


Related Questions

whats 20 x 213 =? REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

4260

Step-by-step explanation:

Answer:

4260

Step-by-step explanation:

Lisa flips 2 fair coins.
What is the probability of obtaining two tails?
Give your answer in its simplest form.

Answers

1/4, both coins have a 1/2 chance of tails, with 2 coins you multiple 1/2 by 1/2.

When Lisa flips 2 fair coins, the probability of obtaining two tails is 1/4.

What is probability ?

Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.

Given that,

Number of coins flips by Lisa = 2,

To find the probability of obtaining two tales,

The sample pace of flipping two coins = {(H, H), (H, T), (T, H), (T, T)}

The tale on both coins can come one time.

So the probability = number of favorable outcome / total observation

                              = 1 / 4

The required probability of obtaining two tails is 1 /4.

To know more about Probability on:

https://brainly.com/question/12478394

#SPJ3

Someone help me solve this expression please

Answers

Step-by-step explanation:

To solve, we have to remember PEMDAS (Parenthesis, Exponent, Multiply / Divide, Add or Subtract).

Here, the curly brackets act as parenthesis, so we solve that first.

• 3 + 7 = 10

Then, we multiply by 4.

• 10 • 4 = 40

Finally, we add 6 to 40.

• 40 + 6 = 46.

Our final answer: 46

Answer:

46

Step-by-step explanation:

We are asked to evaluate the expression. Remember to solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.

[tex]6+4 * (3+7)[/tex]

Solve inside the parentheses. Add 3 and 7.

⇒3+7=10

[tex]6+4*(10)[/tex]

Multiply 4 and 10.

⇒4*10=40

[tex]6+40[/tex]

Add 6 and 40.

⇒6+40=46

[tex]46[/tex]

When the expression 6+4*(3+7) is evaluated, the result is 46.

a chemist is in 357 mL of a solution of acid and water. if 16.9% of the solution is acid, how many milliliters of acid are there? round your answer to the nearest tenth.

Answers

Answer:

The quantity of acid in the solution is 47.1 ml.

Step-by-step explanation:

«
-7 1/3 written as a fraction is

Answers

Answer:

-22/3

Step-by-step explanation:

-22/3 is the answer as a improper fraction.

Step 1

Multiply the denominator by the whole number

3 × 7 = 21

Step 2

Add the answer from Step 1 to the numerator

21 + 1 = 22

Step 3.

Write answer from Step 2 over the denominator

22/3

Answer:

-22/3

Step-by-step explanation:

7x3= 21

Solve for x:
5x – 1 = x+ 27

Answers

Hey mate!

Question:

5x – 1 = x+ 27

Answer:

x=7

Step-by-step explanation:

Step 1:

5x-x=27+1

Step 2:

4x=28

step 3:

x=28÷4

step 4:

x=7

hope it helped you:)

is 50 square root plus 2 square root irrational and equal to which of these four options

Answers

Answer:

Yes, 50 square root plus 2 square root irrational

[tex] 6\sqrt{2}[/tex]

Step-by-step explanation:

[tex] \sqrt{50} + \sqrt 2[/tex]

[tex]= \sqrt{25\times 2} + \sqrt 2[/tex]

[tex]= 5\sqrt{2} + \sqrt 2[/tex]

[tex]= 6\sqrt{2}[/tex]

Since, [tex]\sqrt{2}[/tex] is irrational.

Therefore, [tex] \sqrt{50} + \sqrt 2[/tex] is also irrational and

[tex] \sqrt{50} + \sqrt 2=6\sqrt{2}[/tex]

X-32>32+9x Thx help ASAP

Answers

Answer:

Step-by-step explanation:

hello :

x-32>32+9x

means : x-9x>32+32

-8x >64

dvid by :8        -x >8  .......continu

Please please please please help

Answers

Answer: x^2+4x+3

Step-by-step explanation:

f(g(x)) >>> replace the g(x) with the given information

f(x+2) >>> replace every (x) in the given f(x) with (x+2)

(x+2)^2-1 >>> foil it out

x^2+4x+4-1 >>> simplify

x^2+4x+3 >>> ANSWER!! :)

I need help to solve this please help me...​

Answers

Your question has been heard loud and clear/

we know,

4cos³x = 3cosx + cos3x

put here, x = 20°

then, 4cos³20° = 3cos20° + cos3 × 20°

= 3cos20° + cos60°

cos³20° = (3cos20° + cos60°)/4 -------(1)

similarly ,

4sin³x = 3sinx - sin3x

put here, x = 10°

4sin³10° = 3sin10° - sin30°

sin³10° = (3sin10° - sin30°)/4 -----------(2)

now,

LHS = cos³20° + sin³10°

put equations (1) and (2)

= 1/4(3cos20° + cos60°) + 1/4 ( 3sin10° - sin30°)

= 1/4( 3cos20° + cos60° + 3sin10° - sin30°)

we know,

cos60° = sin30° = 1/2

= 1/4 ( 3cos20° + 3sin10°)

= 3/4(cos20° + sin10°) = RHS

hence proved

Thank you

Answer:  see proof below

Step-by-step explanation:

Use the following identities & Unit Circle calculations:

 4cos³x = 3cos x + cos 3x

--> cos³x = (1/4)[3cos x + cos 3x]

 4sin³x = 3sin x - sin 3x

--> sin³x = (1/4)[3sin x - sin 3x]

cos 60° = sin 30° = (1/2)

Proof: LHS → RHS

Given:                          cos³ 20° + sin³ 10°

Triple Angle Identity: (1/4)[3cos 20° + cos 3·20°] + (1/4)[3sin 10° - sin 3·10°]

Simplify:                      (1/4)[3cos 20° + cos 60° + 3sin 10° - sin 30°]

                                   (1/4)[3cos 20° + (1/2) + 3sin 10° - (1/2)]

                                   (1/4)[3cos 20° + 3sin 10°]

Factor:                         (3/4)[cos 20° + sin 10°]        

Proven:  (3/4)[cos 20° + sin 10°]  = (3/4)[cos 20° + sin 10°]    [tex]\checkmark[/tex]

                         

What is the domain and range of..... please help

Answers

Answer:

For domain,

9-x2>=0

or,(x+3)(x-3)<=0

using wavy curve method,we get

Domain=[-3,3]

As domain matches only in first option,so the correct option is option first

Which names accurately describe figure PQRS? Select three options.
parallelogram
pentagon
rectangle
rhombus
trapezoid

Answers

Answer:

parallelogram, rectangle, rhombus

Step-by-step explanation:

Answer:

heyooo i am here to clarify the answer is {parallelogram, rectangle and rhombus}

Step-by-step explanation:

in short, the answer is

A.

C.

D.

i hope you do good on your test !!

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For altitudes up to 36,000 feet, the relationship between ground temperature and atmospheric
temperature can be described by the formula t = -0.0035a +g, in which t is the atmospheric
temperature in degrees Fahrenheit, a is the altitude, in feet, at which the atmospheric temperature is
measured, and g is the ground temperature in degrees Fahrenheit. Solve the equation for a. If the
atmospheric temperature is -17.4°F and the ground temperature is 40 °F, what is the altitude?
The equation for a is a =
If the atmospheric temperature is -17.4 °F and the ground temperature is 40 °F, then
a= feet.

Answers

Answer:

a=16400 feet

Step-by-step explanation:

t = -0.0035 a +g

-17.40 = -0.0035 a+40

-17.40-40=-0.0035a+40-40

-57.40=-0.0035a

a = -57.40/-0.0035

a=16400 feet

Read the question and help me with that, please.​

Answers

Answer:

B. -1

Step-by-step explanation:

examples:

1 and -1

1/2 and -2

Answer:

B=-1

Step-by-step explanation:

diagonals are perpendicular line, the slope of perpendicular line are opposite reciprocal.

example if the slope line AC =3

the slope of BD=-1/3

-1/3*3=-1

Which Natural Numbers are not Integers?

Answers

Answer:

Step-by-step explanation:

fraction are not integers

The gas tank of Tyrell's truck holds 19.8. Gallons. When the tank is empty, Tyrell fills it with gas that costs $3.65 per gallon. About how much will it cost to fill the tank?

Answers

it would cost about $72.27 to fill the tank, but if it’s asking for estimate then you might have to round it to $70

Bryan drives up to a traffic circle from Elm Street. He drives 15 meters around the circle is a perfect circle with a radius of 10 meters, at what angle is Maple Street to Elm Street?

Answers

Answer:

85.9°

Step-by-step explanation:

Using the formula for calculating the length of an arc to get the angle of Maple Street to Elm Street;

Length of an arc = θ/360 * 2Πr  where r is the radius of the circle.

Given r = 10m and length of the arc = 15m

On substituting;

15 =  θ/360 * 2π(10)

15 = θ/360 * 20π

θ/360 = 15/20π

θ/360  = 0.2387

θ = 360* 0.2387

θ = 85.9°

Hence Maple street is at 85.9° to Elm street.

Answer:

[tex]\approx \bold{85.98^\circ}[/tex]

Step-by-step explanation:

Given that

Radius of circle = 10 metres

Bryan drives 15 metres around the circle.

To find:

The angle of Maple street to Elm street = ?

Solution:

Kindly refer to the image attached.

The Elm street meets the circle at A.

Maple street at B.

Given that arc length AB = 15m

Radius of circle = 10 m

We have to find the angle of arc.

Let us use the formula:

[tex]\theta = \dfrac{l}{r}\\\Rightarrow \theta = \dfrac{15}{10} \\\Rightarrow \bold{\theta = 1.5\ radians}[/tex]

Converting to degrees:

[tex]\pi\ rad = 180^\circ\\1.5\ rad = \dfrac{180}{\pi} \times 1.5^\circ\\\theta \approx \bold{85.98^\circ}[/tex]

Six times the square of a number.

Answers

Answer:

6(x^2)

Step-by-step explanation:

The square of a number is x^2 and then you multiply that by six so it has to have parenthesis

how many terms are in the equation 14x^2 - 12x + 5

Answers

Essentially any like term is a variable with the same letter at the end or the same letter and power.

In this equation, we are given:

a variable, a letter, and a powera variable, and a lettera variable

They are all different, so there are 3 different terms in the equation

Best of Luck!

Point P is located at (−2, 7), and point R is located at (1, 0). Find the y value for the point Q that is located two over three the distance from point P to point R

Answers

Answer:

  7/3

Step-by-step explanation:

The distances have the ratio ...

  (Q -P) = (2/3)(R -P)

  Q = P +(2/3)R -(2/3)P = (2R +P)/3

  Qy = (2Ry +Py)/3 = (2·0 +7)/3 = 7/3



Which of the following correctly uses exponents to write "6 factors of 2"? A.62 B.26 C.6 ∙ 2 D.12

2m ∙ 2n would be the same as _____.
A.2m + n B.2m - n C.2mn D.4mn

23^0 is equal to _____.
A.0 B.1 C.23 D.1/23

Answers

Step-by-step explanation:

1. 6 factors of 2 means, 2 multiplied by itself 6 times.  It can be written in the form of exponents as 2⁶.

2. [tex]2^m{\cdot} 2^n[/tex]

The law of exponent is : [tex]x^a{\cdot} x^b=x^{a+b}[/tex]

So,

[tex]2^m{\cdot} 2^n=2^{m+n}[/tex]

The correct option is (A).

3. If the power of any number is 0, then the value of that number is equal to 1.

So,

[tex]23^0=1[/tex]

Hence, this is the required solution.

The line $x = 4$ is an axis of symmetry of the graph of $y = ax^2 + bx + c.$ Find $\frac{b}{a}$.

Answers

Answer: b/a = -8

Step-by-step explanation:

When we have a quadratic equation:

y = a*x^2 + b*x + c.

The vertex of this function (and the axis of symetry) is located at:

x = -b/2a

Now, we know that the axis of symmetry is at x = 4.

then we have:

4 = -b/2a

And we want to find b/a.

Then we start with:

-b/2a = 4.

first we multiply by 2 in each side:

2*(-b/2a) = -b/a = 2*4 = 8.

now we multiply by -1 in each side:

-1*(-b/a) = b/a = -1*8.

Then we have: b/a = -8

The San Andreas fault separates the pacific plates from the North America plate. The pacific plate moved northward relative to the North American plate at a rate of 5.7 cm/year. Currently LA and San Francisco are about 470km away from each other, how long will it take for LA and SF to be next to each other? Answer in years

Answers

Answer:

  8.2 million years

Step-by-step explanation:

The time can be found from ...

  time = distance/speed

  time = (47.0×10^4 m)/(5.7×10^-2 m/yr) = 8.2×10^6 yr

It will take about 8.2 million years for LA to have the same latitude as SF.

__

The given numbers each have 2 significant digits, so the answer is appropriately rounded to 2 significant digits.

Which of the following functions describes the sequence 4, –2, 1, –12, 14, . . .? A. f(1) = 4, f(n + 1) = –2f(n) for n ≥ 1 B. f(1) = 4, f(n + 1) = f(n) – 2 for n ≥ 1 C. f(1) = 4, f(n) = 12f(n + 1) for n > 1 D. f(1) = 4, f(n) = –12f(n – 1) for n > 1

Answers

Answer: D. [tex] f(1) = 4,\ \ f(n+1)=\dfrac{-1}{2}f(n) [/tex]

Step-by-step explanation:

The given sequence:  [tex]4, -2,1,\dfrac{-1}{2},\dfrac14,....[/tex]

Here, first term: [tex]f(1)=4[/tex]

Second term: [tex]f(2)=-2[/tex]

Third term : [tex]f(3)=\dfrac{-1}{2}[/tex]

It can be observed that it is neither increasing nor decreasing sequence but having the common ratio.

Common ratio: [tex]r=\dfrac{f(2)}{f(1)}=\dfrac{-2}{4}=\dfrac{-1}{2}[/tex]

So, [tex]f(n+1)=\dfrac{-1}{2}f(n)[/tex]  [as in G.P. nth term= [tex]a_{n+1}=ar^n[/tex]]

Hence, correct option is D. [tex] f(1) = 4,\ \ f(n+1)=\dfrac{-1}{2}f(n) [/tex]

Solve the equation. 1/4 + w = 6 1/3

Answers

Answer:

6.08333....

Step-by-step explanation:

.25 +w = 19/3

19/3=6.3333

6.3333-.25=6.08333....

Check:

.25+6.08333....=6.3333...

Find the product. √3(5+√2) A)5√3+√5 B)5√3+√6 C)5√9 D)√15+√6

Answers

Answer:

B. [tex] 5 \sqrt{3} + \sqrt{6} [/tex]

Step-by-step explanation:

[tex] \huge\sqrt{3} (5 + \sqrt{2} ) = 5 \sqrt{3} + \sqrt{6} [/tex]

please help :) Which expression is equal to 6+4×5 ? A 10 times 5 B 6 plus 20 C 6 plus 9

Answers

Answer:

B)

Step-by-step explanation:

6 + 4*5 = 6 + 20

             = 26

According to BODMAS, multiplication should be done and then addition

Answer:

B

Step-by-step explanation:

By pemdas - multiplication first

6+4x5

6+(20)

so, b - 6 + 20 is the answer

How can you rewrite 12

− (-5) as an addition problem?

Answers

Answer:

12+5

Step-by-step explanation:

negative times negative is postive

In a city, the record monthly high temperature for March is 56 degrees Fahrenheit. The record monthly low temperature is -4 degrees Fahrenheit. What Is the range of temperature for March?

Answers

Answer:

60 degrees.

Step-by-step explanation:

In mathematics, a "range" is described as the difference between the lowest and highest numbers in a data set. To find the range, we must subtract. (This is what the word "difference" indicates in math)

56 - (-4) =

56 + 4 = 60 (the negative signs cancel out)

Thus, the range of temperature for March is 60 degrees :) Hope this helped!

God bless and stay safe.

Stronomers estimate the internal temperature of the sun is 15,000,000  K. What is 15,000,000 written in scientific notation? 1.5 x 10^8 1.5 x 10^8 1.5 x 1^7 1.5 x 1^7 1.5 x 1^6 1.5 x 1^6 1.5 x 1^ 5

Answers

Answer:

Scientific notation for 15,000,000

[tex] = 1.5 \times {10}^{7} [/tex]

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