There are 52 weeks in a year. Ben has lived in london for two fifths of year. How many weeks has ben lived in london?

Answer:

The answer is

[tex] \frac{48}{64} [/tex]

Step-by-step explanation:

Equivalent fractions are set of fractions which have the same value when simplified.

The equivalent fraction to 6/8 whose numerator is 16 less than its denominator can be obtained through two basic methods below.

Method 1

Multiply the numerator and denominator by 8 respectively.

[tex] \frac{6}{8} = \frac{6 \times 8}{8 \times 8} = \frac{48}{64} [/tex]

The numerator being 16 less than the denominator is:

[tex]48 - 64 = - 16[/tex]

Method 2

Find the equivalent fraction to 6/8 whose numerator is 16 less than its denominator by continuous multiplication approach. In other words, multiply 6/8 till you arrive at an equivalent fraction whose numerator is 16 less than its denominator. Simply multiply 6/8 by 2, 3, 4, 5, 6, 7, 8. Thus:

[tex] \frac{6}{8} = \frac{12}{16} = \frac{18}{24} = \frac{24}{32} = \frac{30}{40} = \frac{36}{48} = \frac{42}{56} = \frac{48}{64} [/tex]

The difference between the numerator and denominator of the equivalent fractions are: -2, -4, -6, -8, -10, -12, -14, -16

Hence, 48/64 is the equivalent fraction to 6/8 whose numerator and denominator difference is less than 16.

That is,

[tex] \frac{6}{8} = \frac{48}{64} [/tex]

Such that 48 - 64 = -16.

The fraction equivalent to 6/8 with a numerator 16 less than the denominator is 48/64, which simplifies to 3/4.

To find an equivalent fraction to 6/8 where the numerator is 16 less than the denominator, we use an equation to represent the relationship between the numerator (N) and the denominator (D): N = D - 16. Since 6/8 can be simplified to 3/4 by dividing both the numerator and denominator by 2, we set up the following equation: N/D = 3/4.

By substituting N with (D - 16), we get (D - 16)/D = 3/4. To find the value of D, we cross multiply: 4(D - 16) = 3D. Solving for this, we have 4D - 64 = 3D, and therefore D = 64. Since N is 16 less than D, N = 64 - 16, which gives us N = 48. So, the fraction we are looking for is 48/64.

We can check that 48/64 is indeed equivalent to 3/4 by simplifying. Dividing both numerator and denominator by 16, we get 48/64 = 3/4. Thus, the student's fraction is 48/64 which simplifies to 3/4.

Answer:

C

Step-by-step explanation:

You can already walk 0.9 of a mile in 3/8 so it cannot be A or B

C is the most reliable because even if you multiple the 0.9 by 3 so it is a little bit over a mile it is still closer to 2.4

Answer:

56 football cards

Step-by-step explanation:

If 5 baseball cards multiplied by 8 is 40, then you multiply the 7 football cards by 8 as well.

7x8=56

Answer:

[tex]\$14,187.27[/tex]

Step-by-step explanation:

we know that

In this problem we have a exponential decay function of the form

[tex]y=a(1-r)^x[/tex]

where

y ----> is the value of the boat in dollars

x ---> is the number of years

r ---> is the percent rate of change

a ---> is the initial value or y-intercept

we have

[tex]a=\$19,300\\r=5\%=5/100=0.05[/tex]

substitute

[tex]y=19,300(1-0.05)^x[/tex]

[tex]y=19,300(0.95)^x[/tex]

For x=6 years

substitute the value of x in the exponential function

[tex]y=19,300(0.95)^6\\y=\$14,187.27[/tex]

The height of tree is 32 meter

Solution:

Given that,  The sun is at an angle of elevation of 58 degree

A tree casts a shadow 20 meters long on  the ground

The sun, tree and shadow forms a right angled triangle

The figure is attached below

ABC is  a right angled triangle

AC is the height of tree

AB is the length of shadow

AB = 20 meters

Angle of elevation, angle B = 58 degree

By definition of tan,

[tex]tan \theta = \frac{opposite}{adjacent}[/tex]

In this right angled triangle ABC,

opposite = AC and adjacent = AB

Therefore,

[tex]tan\ 58 = \frac{AC}{AB}\\\\tan\ 58 = \frac{AC}{20}\\\\1.6 = \frac{AC}{20}\\\\AC = 1.6 \times 20\\\\AC = 32[/tex]

Thus height of tree is 32 meter

Answer:

b

Step-by-step explanation:

Each share in the software company costs approximately $5,195.14 and each share in the biotech firm costs approximately $5,137.15.

To find out how much each share costs, we need to solve a system of equations. Let's call the cost of each share in the software company 'x' and the cost of each share in the biotech firm 'y'.

From the given information, we know that Dean purchased 14 shares in each company for a total cost of $812. This gives us the equation 14x + 14y = 812.

Similarly, Carrie invested a total of $5,767 in 100 shares in the software company and 99 shares in the biotech firm. This gives us the equation 100x + 99y = 5,767.

Now, we can solve this system of equations using either substitution or elimination method.

Using the elimination method, multiply the first equation by 99 and the second equation by 14 to make the coefficients of 'x' in both equations equal:

Now subtract the first equation from the second equation:

Divide by 14 on both sides to find the value of 'x':

Now substitute the value of 'x' back into one of the original equations to find the value of 'y'. Using the first equation:

Therefore, each share in the software company costs approximately $5,195.14 and each share in the biotech firm costs approximately $5,137.15.

The equation representing the proportional relationship between the number of laps Rosa runs and the amount of money she raises is y = 5x. This linear equation suggests that for every lap completed, $5 is earned for the hospital.

The relationship between the number of laps Rosa runs (x) and the amount of money she raises for the hospital (y) can be described by a linear equation because there is a proportional relationship between x and y. We can see from the values given that each lap corresponds to $5. Therefore, the slope (change in y divided by the change in x) is $rac{$5}{1 lap} = $5$ per lap. Since there is no initial fee mentioned (y-intercept, b), the equation is simply the slope times the number of laps.

So, we can write the equation as y = 5x. This equation tells us that for every lap Rosa runs, she will raise $5. If we plot this relationship on a graph with x as the independent variable and y as the dependent variable, we would get a straight line that passes through the origin (0,0).

Option C:

[tex]$\sqrt[5]{34} =34^{\frac{1}{5} }[/tex]

Solution:

Given expression is [tex]\sqrt[5]{34}[/tex].

To write the given expression in rational exponent form.

Using rational exponent rule:

[tex]$\sqrt[n]{a^m} =a^{\frac{m}{n} }[/tex]

i. e. [tex]$\sqrt[\text{root}]{a^\text{power}} =a^{\frac{\text{power}}{\text{root}} }[/tex]

Given  [tex]\sqrt[5]{34}[/tex]

Here, root is 5 and power is 1.

Write it using the rational exponent rule,

[tex]$\sqrt[5]{34} =34^{\frac{1}{5} }[/tex]

Therefore option C is the correct answer.

Hence [tex]$\sqrt[5]{34} =34^{\frac{1}{5} }.[/tex]

Answer: 34^1/5

Step-by-step explanation:

Answer:

the perimeter is 36

Step-by-step explanation:

Answer:

The correct answer is 36

Step-by-step explanation:

Edg. 2020

Step-by-step explanation:

We have,,

6x and 2x

To find, the value of x = ?

According to question,

The sum of 6x and 2x is at least 39

∴ 6x + 2x = 39

⇒ 8x = 39

⇒  x = [tex]\dfrac{39}{8}[/tex]

∴ The value of x = [tex]\dfrac{39}{8}[/tex]

Thus, put x = [tex]\dfrac{39}{8}[/tex] I write the sum of 6x and 2x is at least 39 .

Answer:

28/45

Step-by-step explanation:

Solve using cross multiplication.

(7/15) / (4/3) =

28/45

The fraction is already in simplest form

answer:

[tex] \frac{7}{20} [/tex]

explanation:

[tex] \frac{7}{15} \times \frac{3}{4} = \frac{7 \times 3}{15 \times 4} = \frac{21}{60} = \frac{7 \times 3}{20 \times 3} = \frac{7}{20} [/tex]

Answer:

63

Step-by-step explanation:

The given expresion is

[tex]5 {e}^{2} - 4g + 7[/tex]

We want to find the value of this expression when e=4 and g=6.

We substitute these values to get:

[tex]5( {4}^{2} ) - 4(6) + 7[/tex]

We evaluate to obtain:

[tex]5(16) - 4(6) + 7[/tex]

Let us multiply out to get:

[tex]80 - 24 + 7[/tex]

This simplifies to 63

Answer:

Step-by-step explanation:

Circumference of a circle means the perimeter of a circle and it is given be

Perimeter=2πr

P=2πr

Though π is a constant

But this question want us to find π

Make π the subject of the formula

Then, divide both side by

π=P/2r

Given that P=37.7cm

And diameter =12

And radius is half of diameter.

Therefore, radius =12/2=6cm

Then

π=P/2r

π=37.7/2×6

π=37.7/12.

Then, the last option is the correct option

Final answer:

To determine the number of shareholders aged 40 and over, subtract the number of shareholders under 40 (55.5% of 91,000) from the total, resulting in 40,495 shareholders who are 40 and over.

Explanation:

The question asks how many shareholders are aged 40 and over in a fast food chain given that 55.5% are under 40 and there are a total of 91,000 shareholders.

First, we must find the number of shareholders under 40: 0.555 × 91,000 = 50,505 shareholders. Next, we subtract this from the total number of shareholders to find the number of shareholders aged 40 and over: 91,000 - 50,505 = 40,495 shareholders.

Therefore, 40,495 shareholders are aged 40 and over.

Jack should invest $8400 in the CD account and $3600 in the savings account.

Step-by-step explanation:

Jack wants to earn 7.5% interest per year. That implies he wants to earn

7.5/100*12000 per year i.e $900 per year.

Lets assume he invests X amount in the savings account. That leaves 12000-X to be invested in the CD account.

That implies,

[tex]4/100*X + 9/100*(12000-X) = 900[/tex]

=> [tex](4X+108000-9X)/100 = 900[/tex]

=> [tex]-5X = 90000-1080000 = -18000[/tex]

=> X = 3600

Answer:

8c² + 66c + 16

Step-by-step explanation:

Given

(c + 8)(8c + 2)

Each term in the second factor is multiplied by each term in the first factor, that is

c(8c + 2) + 8(8c + 2) ← distribute both parenthesis

= 8c² + 2c + 64c + 16 ← collect like terms

= 8c² + 66c + 16

Answer:

answer is a

look at picture

Answer:

Step-by-step explanation:

Carlo's outcome will be the greatest if Sorin's number will be the highest and Jiao's number is the lowest.

Sorin choose a three digit number, the highest three digit number is 999.

After doubled the number, 999, the outcome will be 1998.

Jiao chooses two-digit number, the lowest two-digit number is 10.

Hence, the greatest number that Carlo can get is (1998 - 10) = 1988.

Final answer:

The greatest number Carlos can get is 1988, which is found by doubling the largest three-digit number, 999, to get 1998, and then subtracting the smallest two-digit number, 10.

Explanation:

To find the greatest number Carlos can get, we must consider the largest possible three-digit number that Sorin could double and the smallest possible two-digit number Jiao could choose.

The largest three-digit number is 999. When doubled, it becomes 1998. The smallest two-digit number is 10. Therefore, Carlos' greatest possible number is obtained by subtracting the smallest two-digit number from Sorin's doubled number:

1998 - 10 = 1988

Hence, the greatest number Carlos can get is 1988.

Option B: [tex]\frac{1}{25}[/tex]

Solution:

Slope of the perpendicular lines:

If two lines are perpendicular then their slopes are negative reciprocals of each other.

[tex]$m_1=\frac{-1}{ m_2}[/tex]

Slope of the parallel lines:

If two lines are parallel then they have the same slope.

i.e their slopes are equal.

[tex]m_1=m_2[/tex]

Given line m and p are parallel.

Slope of the line m = [tex]\frac{1}{25}[/tex]

Using slope of the parallel lines definition,

Slope of the line p = slope of the line m

Slope of the line p = [tex]\frac{1}{25}[/tex]

Option B is the correct aswer.

Hence the slope of the of line p is [tex]\frac{1}{25}[/tex].

Answer:

The unit price is 63 cent per kilogram bag of rice.

Step-by-step explanation:

Given:

A 6-kilogram bag of rice costs $3.80.

Now, to find the unit price.

So, to get the unit price we use unitary method:

If cost of 6 kilogram bag of rice = $3.80.

Then cost of 1 kilogram bag of rice = [tex]\frac{3.80}{6}[/tex]  = [tex]\$0.633.[/tex]

Thus, the unit price is $0.633 per kilogram bag of rice.

Now, according to question we convert the unit price into cent by using conversion factor:

$1 = 100 cent

$0.633 = [tex]0.633\times 100=63.3\ cent.[/tex]

So, rounded to nearest cent  = 63 cent.

Therefore, the unit price is 63 cent per kilogram bag of rice.

Answer:

  A)  The 75 is the initial number of cells, and the 2 indicates that the number of cells doubles every minute

Step-by-step explanation:

When x=0 (no minutes have elapsed), the value of the function is ...

  f(0) = 75(2^0) = 75(1) = 75 . . . . the initial number of cells

As x increases by 1 (minute), the number of cells is multiplied by 2, so the 2 is the multiplier each minute. It indicates the number doubles. ("double" = "multiply by 2")

x is not defined, but for the function to make any sense, it must represent elapsed minutes.

Answer:

B. right scalene triangle

i am sure about this answer as 90 degree tells us that it is a right angle triangle and as all the measure of angles as well as sides are different it is a scalene triangle.

Final answer:

To solve the equation -2.5(4x - 4) = -6, distribute -2.5 to the terms inside the parentheses, isolate the variable, and solve for x.

Explanation:

To solve the equation -2.5(4x - 4) = -6, we can start by distributing -2.5 to the terms inside the parentheses:

-10x + 10 = -6

Next, we can isolate the variable by subtracting 10 from both sides:

-10x = -16

Finally, we can solve for x by dividing both sides by -10:

x = -16/-10

Therefore, x = 1.6.

Answer:

It remained 9/50 of the pie

Step-by-step explanation:

If Janelle ate 82% of the pie, now it remains:

100 - 82 = 18%

Let's convert 18% to fraction:

18% = 0.18 = 18/100

Let's simplify 18/100:

18/100 = 9/50 (Dividing by 2 the original fraction)

It remained 9/50 of the pie

Answer: B, C, D

Step-by-step explanation:

A linear function is a straight line and is written as y=mx+b

A y = 10x is linear

B y = -5x-15 is linear

C y = 2x^2+10 is not linear (the x^2 makes it a parabola)

D y = 12x + 1 is a straight line

E y = -20 is straight line through -20 on the y-axis

F y = 7x^2 + 4 is not a straight line

Answer:

three and five hundreths

Answer:

three and five thousandths

Step-by-step explanation:

3 counts as one and the decimal is said as "and" and the spaces after the decimal are tenths,hundredths and thousandths

Answer:

72.22in

Step-by-step explanation:

c=d*pie

23*3.14

Answer:

About 72 in.

Step-by-step explanation:

The circumference = π x the diameter of the circle (Pi multiplied by the diameter of the circle).

c = π·23

c= 72.2566310326

I hope this helps!

brainliest is appreciated... :}

Answer:

x = 29

y = 6

Step-by-step explanation:

Let the two numbers be represented as x and y

x + y = 35

x = 5y - 1

Substitute x as 5y -1 in equation one

5y -1 + y = 35

5y + y -1 = 35

Add 1 to both sides

6y - 1 + 1 = 35 + 1

6y = 36

Divide both sides by 6

6y/6= 36/6

y = 6

Now substitute y as 6 in any of the equations to get x.

Using equation one ,

We have

x + y = 35

x +6 = 35

Subtract 6 from both sides

x + 6 - 6 = 35 - 6

x = 29

Answer:

x < -2.5 and x > 1

Step-by-step explanation: