Radha drives her car for work.
She claims 43p per mile from her employer.
Radha's car travels 55 miles for each gallon of petrol.
She pays £5.40 per gallon for petrol.
On one journey Radha drives 341 miles.
For this journey, how much more does she claim than she pays for petrol?
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Answer:

[tex]x = 0.68[/tex]

Step-by-step explanation:

We would like to find out the value of x using logarithms of the given equation .The equation is ,

[tex]\longrightarrow 25^x - 3(5^x)=0\\[/tex]

Add [tex]3(5^x)[/tex] on both sides,

[tex]\longrightarrow 25^x = 3(5^x) [/tex]

Using log to the base 10 on both sides, we have;

[tex]\longrightarrow log_{10}(25^x) = log_{10}\{3(5^x)\}[/tex]

Recall that [tex] log(ab ) = log\ a + log\ b [/tex] .

[tex]\longrightarrow log_{10}(25^x)=log_{10}3 + log_{10}5^x [/tex]

Recall the properties of logarithm as [tex] log\ a^b = b\ log\ a [/tex] .

[tex]\longrightarrow xlog25 = log_{10}3 + xlog_{10}5 [/tex]

Again we can rewrite it as ,

[tex]\longrightarrow xlog(5^2)=log_{10}3+xlog_{10}5\\ [/tex]

[tex]\longrightarrow 2x\ log_{10}5 = log_{10}3+xlog_{10}5 \\ [/tex]

[tex]\longrightarrow 2x\ log_{10}5-x\ log_{10}5 = log_{10}5 [/tex]

Simplify,

[tex]\longrightarrow x\ log_{10}5=log_{10}3 [/tex]

Divide both sides by log5 ,

[tex]\longrightarrow x =\dfrac{log_{10}3}{log_{10}5} [/tex]

Put on the values of log 3 and log5 ,

[tex]\longrightarrow x =\dfrac{0.47}{0.69} [/tex]

Simplify,

[tex]\longrightarrow \underline{{\underline{\boldsymbol{ x = 0.68}}}}[/tex]

And we are done!

Answer:

The maximum number of circular displays that can be used is 4.

Or C on edge

Step-by-step explanation:

Answer:

114 minutes

Step-by-step explanation:

samara runs 4 miles in 38 minutes

---------------------------------------------------

time taken to cover a distance of 12 miles:

many minutes will it take her to run 12 miles is 114 minutes

Answer:

One solution                    

Step-by-step explanation:

5x + y = 8

15x + 15y = 14

Lets solve using substitution, first we need to turn "5x + = 8" into "y = mx + b" or slope - intercept form

So we solve for "y" in the equation "5x + y = 8"

5x + y = 8

Step 1: Subtract 5x from both sides.

5x + y − 5x = 8 − 5x

Step 2: 5x subtracted by 5x cancel out and "8 - 5x" are flipped

y = −5x + 8

Now we can solve using substitution:

We substitute "-5x + 8" into the equation "15x + 15y = 14" for y

So it would look like this:

15x + 15(-5x + 8) = 14

Now we just solve for x

15x + (15)(−5x) + (15)(8) = 14(Distribute)

15x − 75x + 120 = 14

(15x − 75x) + (120) = 14(Combine Like Terms)

−60x + 120 = 14

Step 2: Subtract 120 from both sides.

−60x + 120 − 120 = 14 − 120

−60x = −106

Divide both sides by -60

[tex]\dfrac{ -60x }{ -60 } = \dfrac{ -106 }{ -60 }[/tex]

Simplify

[tex]x = \dfrac{ 53 }{ 30 }[/tex]

Now that we know the value of x, we can solve for y in any of the equations, but let's use the equation "y = −5x + 8"

[tex]\mathrm{So\:it\:would\:look\:like\:this:\ y = -5 \left( \dfrac{ 53 }{ 30 } \right) +8}[/tex]

[tex]\mathrm{Now\:lets\:solve\:for\:"y"\:then}[/tex]

[tex]y = -5 \left( \dfrac{ 53 }{ 30 } \right) +8}[/tex]

[tex]\mathrm{Express\: -5 \times \dfrac{ 53 }{ 30 }\:as\:a\:single\:fraction}[/tex]

[tex]y = \dfrac{ -5 \times 53 }{ 30 } +8[/tex]

[tex]\mathrm{Multiply\:-5 \:and\:53\:to\:get\:-265 }[/tex]

[tex]y = \dfrac{ -265 }{ 30 } +8[/tex]

[tex]\mathrm{Simplify\: \dfrac{ -265 }{ 30 } \:,by\:dividing\:both\:-265\:and\:30\:by\:5} }[/tex]

[tex]y = \dfrac{ -265 \div 5 }{ 30 \div 5 } +8[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]y = - \dfrac{ 53 }{ 6 } +8[/tex]

[tex]\mathrm{Turn\:8\:into\:a\:fraction\:that\:has\:the\:same\:denominator\:as\: - \dfrac{ 53 }{ 6 }}[/tex]

[tex]\mathrm{Multiples\:of\:1: \:1,2,3,4,5,6}[/tex]

[tex]\mathrm{Multiples\:of\:6: \:6,12,18,24,30,36,42,48}[/tex]

[tex]\mathrm{Convert\:8\:to\:fraction\:\dfrac{ 48 }{ 6 }}[/tex]

[tex]y = - \dfrac{ 53 }{ 6 } + \dfrac{ 48 }{ 6 }[/tex]

[tex]\mathrm{Since\: - \dfrac{ 53 }{ 6 }\:have\:the\:same\:denominator\:,\:add\:them\:by\:adding\:their\:numerators}[/tex]

[tex]y = \dfrac{ -53+48 }{ 6 }[/tex]

[tex]\mathrm{Add\: -53 \: and\: 48\: to\: get\: -5}[/tex]

[tex]y = - \dfrac{ 5 }{ 6 }[/tex]

[tex]\mathrm{The\:solution\:is\:the\:ordered\:pair\:(\dfrac{ 53 }{ 30 }, - \dfrac{ 5 }{ 6 })}[/tex]

So there is only one solution to the equation.

Answer:

13/2<x<12

or  (13/2, 12)

Step-by-step explanation:

break the promblem into two seperate equations and solve.

Answer:

x=1

Step-by-step explanation:

f(x) = 2x + 1

g(x) = 5x – 2

f(x) = g(x)

2x+1 = 5x-2

Subtract 2x from each side

2x+1 = 5x-2-2x

1 = 3x-2

Add 2 to each side

1+2 =3x-2+2

3 = 3x

Divide by 3

3/3 =3x/3

1 =x

Answer:

The problem is not shown:

7 / 10 = 70 %

70% of 400 = 280       drink tea

20% of 400 = 80     drink at least 3 cups / day

(70 - 20)% of 400 = 200 drink tea but not as much as 3 cups / day

30% of 400 = 120  do not drink tea

The length of the guys wire should be = 22.1 feet

The pythagorean theorem states that the square on the hypotenuse is equal to the sum of the squares on the other two sides.

Therefore,

[tex]c {}^{2} = 20.4 {}^{2} + 8.5 {}^{2} [/tex]

[tex]c {}^{2} = 416.16 + 72.25[/tex]

[tex]c {}^{2} = 488.41[/tex]

[tex]c = \sqrt{488.41} [/tex]

c = 22.1 feet.

Where c represents the length of the guys wire

Learn more about Pythagorean theorem here:

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FATHER = 123456

That means that each letter of father represents the following numbers:

Now,

Let's see the given code

4526

Which letters are they representing, Let's see:

Thus, 4526 is the code for the word Hear...

Answer:

2nd one

Step-by-step explanation:

Just the 2nd one

Answer:

Step-by-step explanation:

Answer:

The number is -3

Step-by-step explanation:

First, let's translate the statement into an equation.

Step 1: Subtract 2x from both sides.

Step 2: Divide both sides by 2.

Therefore, the number is -3/

If the number times four is six less than twice the number then the number will be -3.

Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.

let the number be x.

According to the questions the following equation can be made:

4x=2x-6

We have multiplied by 4 with the number and 2 with number and subtracted 6 because it is given that 4 times the number is equal to twice the number less 6.

Now we have to solve the equation for x.

4x-2x=-6

2x=-6

x=-6/2

x=-3

Hence if the number times four is six less than twice the number then the number will be -3.

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Answer:

Part A. x = 45°

Part B. Acute triangle

Step-by-step explanation:

Hope this help you.

Uh...I need help about my speaking.

Can you give me some tips and important things about "Myself" speaking?

Step-by-step explanation:

85+50+x=180

135+x=180

x=180-135

x=45

A) 45 degrees

B) 45 degree is a acute angle.

Answer:

hope u understand

180°-142°=38°

x=38°

here is your answer

mark as brilliant and follow pls

Answer:

142

Step-by-step explanation:

because it is an obtuse angle and it is equvilent to an exteroir angle which is also 142 degrees

pls mark brainliest

Answer:

580 circulars

Step-by-step explanation:

Formula: Number of circulars divide by Hours

435 circulars / 3 hours = x circulars / 4.5 hours

145 circulars / 1 hour = x circulars / 4 hours

(145 circulars / 1 hour) * 4 hours = x circulars

580 circulars = x circulars

x = 580 circulars, delivered in 4 hours

Hence, at this rate James will delivers 580 circulars in 4 hours.

[RevyBreeze]

James will be able to deliver 600 circulars in 4 hrs

Explanation:

Locate x = 0 on the x axis number line.

Then move up or down until you reach the blue curve. In this case we move upward.

You should arrive at y = 4

This means (x,y) = (0,4) is a point on the blue cubic curve, and that f(0) = 4.

PEMDAS is the way to solve these types of equations

  [tex](6+5)-16=(11)-16 = 11 - 16 = -5[/tex]

Hope that helps!

Answer:

14.09415

Step-by-step explanation:

Answer:

1. 8 cm

2. 64 cm

3. 512 cm

Step-by-step explanation:

The side lengths of cube are 8

The formula for volume is the length*width*height

A-4*4*4

4*4*4=64 cm

B-8*8*8=512 cm

Answer:1. 8 cm2. 64 cm3. 512 cmStep-by-step explanation:The side lengths of cube are 8The formula for volume is the length*width*heightA-4*4*44*4*4=64 cmB-8*8*8=512 cm

Answer:

it would be approx. 3015.93cm3

Step-by-step explanation:

Hope it helps!!!!

Answer:

18:1

Step-by-step explanation:

113 in .8 hours

113 / 4 in .2 hours

28.25 in .2 hours

28.25 * 5 in 1 hour

141.25 in 1 hour

141.3 mph

Let's verify

As LHS not equal to RHS

Answer:

D. 35 of teenagers chose to listen to Music

Step-by-step explanation:

We are given the following info

All we have to do next is find the percentage of Teenagers that Listened to music which is already given to us: 28%

Now we find 28% of 125 and we get 35 teenagers

Hope I could help

Answer:

35

Step-by-step explanation:

28%of 125 = 35

16% of 125 = 20

24% of 125 = 30

32% of 125 = 40

See the attached picture with the solution.

Answer:

220

Step-by-step explanation:

First you divide 15 by 2 then you take the answer and multiply the 1750 . Last but not least you divide the answer by 60 to get your answer

The expression 16w² + 24w + 9 can be written in form as (4w+3)².

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The expression is given as:

⇒ 16w² + 24w + 9

To factor this expression, we can use the following steps:

Find two numbers that multiply to 16w² and add to 24w. The two numbers are 4w and 6w.

Create two binomials with the two numbers found in step 1. The binomials are 4w+3 and  (4w+3).

Multiply the two binomials together to get the factored form of the expression. The factored form is  (4w+3)².

Therefore, the equivalent expression to 16w² + 24w + 9 is (4w+3)².

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Answer:

1.5

Step-by-step explanation:

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction.

Mark me brainliest!!

Using conditional probability, it is found that there is a 0.5714 = 57.14% probability that the student speaks ilocano given that he speaks kankanaey.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

In this problem, the events are given as follows:

Hence, the parameters are given as follows:

[tex]P(A \cap B) = 0.4, P(A) = 0.7[/tex]

Then, the probability that the student speaks ilocano given that he speaks kankanaey is given by:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4}{0.7} = 0.5714[/tex]

More can be learned about conditional probability at https://brainly.com/question/14398287

Answer:

Subtract 1/4x from each side (Yes)

Answer:

no, yes, yes, no, no, yes

Step-by-step explanation: