issac and his friends pitched 4 trekker tents in 60 minutes on a camping site. how long will they take to pitch 5 tents?

Answer: f(0)=40/x

Step-by-step explanation:

f(n)=2xf(n-1)-50

f(1)=2xf(1-1)-50

f(1)=2xf(0)-50

30=2xf(0)-50

2xf(0)=80

f(0)=80/(2x)

f(0)=40/x

You need to deposit $1459.667 every month;

Let the amount needed to be deposited each month be 'x' ;

Monthly interest rate, i = 5%/12 = 0.4167% = 0.004167

Total amount  = $600,000

Total time (in months) = 20 × 12 = 240 years;

Therefore, according to question;

600,000 = x . [(1 + i)ⁿ -1]/i

600,000 = x. [(1 + 0.004167)²⁴⁰ - 1]/0.004167

x = 1459.667

The additional amount you must repay over and above the principal borrowed is called interest. This is how lending institutions turn a profit.

Typically, interest is expressed as an annual percentage of the principal.

Monthly interest is the interest that is paid every month or after every 30 days.

We compute the monthly interest rate by dividing the annual interest rate by 12 to calculate the monthly interest on a loan or investment.

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The quotient of the given fraction 45/9 is 5.

Quotient:

So, the quotient of 45/9 is 5 as:
45 ÷ 9 = 5

(Refer to the picture given below for working)

Therefore, the quotient of the given fraction is 5.

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The operation used in the problem is Multiplication property of equality and the value of x is -14

-3.5 = x/4

- 3.5 × 4 = x

-14 = x

Check:

-3.5 = x/4

- 3.5 = -14 / 4

-3.5 = -3.5

Therefore, the operation used in the problem is Multiplication property of equality and the value of x is -14

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The measure of AM and BM from the given coordinate points are 8.37 units respectively

The formula for calculating the distance between coordinate points is expressed according to the equation

D = √(x₂-x₁)²+(y₂-y₁)²

Given the coordinate points A (-3, -12) and M(-5, -4). The measure of the distance AM is expressed as:

AM = √(-4+12)²+(-5+3)²

AM = √(8)²+(-2)²

AM =  √70

AM = 8.37 units

Similarly;

Given the coordinate points B(-7, 4). and M(-5, -4). The measure of the distance AM is expressed as:

BM = √(-4-4)²+(-5+7)²

BM = √(-8)²+(2)²

BM =  √70

BM = 8.37 units

Hence the measure of AM and BM from the given coordinate points are 8.37 units respectively

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According to the solving the LHS = RHS this shows the equality symmetric property.

52 = 52.

LHS is an informal shorthand again for the left-hand side of the an equation in mathematics. Likewise, RHS refers to the right-hand side. Because equality is symmetric, both sides share the same value, expressed differently.

Given the "equality" (=) relation and a = b, if b = a holds true for all a and b, equality is said to be symmetric. For all of a and b, the assertion is TRUE (no counterexample can be found). This is known as the equality symmetric property.

-21-17+25+65=52

Proving that both LHS = RHS :

-21-17+25+65=52

-21-17+25+65=52

- 38 + 90 = 52

52 = 52

So,

LHS = RHS

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Answer:

Turn the 2 1/2 into the improper fraction which is 5/2. Now you can do 5/2 divided by 1/2. when diving turns the 1/2 to 2/1 and multiply. so 5/2 x 2/1= 1.25. 1.25 as a fraction is 1 1/4

Answer: $72

Step-by-step explanation:

Oddly worded question but if I understand it correctly we need to find the marked down price and subtract $360 from it.

It is 10% off so an easy way to do the math is to find what 90% of $480 dollars is.

.90 * 480 = $432

Then we subtract $360 from this sale price.

$432 - $360 = $72

The capacity of the given container is 6.3 liters.

So, 4(3/5) + 1(7/10):

Therefore, the capacity of the given container is 6.3 liters.

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Answer:

A

Step-by-step explanation:

x + 2 + [ 4x - [tex]\frac{x^2+6x+8}{x+4}[/tex] ] ← factorise the quadratic on the numerator

= x + 2 + [ 4x - [tex]\frac{(x+4)(x+2)}{x+4}[/tex] ] ← cancel (x + 4) on numerator/denominator

= x + 2 + (4x - (x + 2)

= x + 2 + 4x - x - 2 ← collect like terms

= 4x

Based on the calculations, the angle (θ) of the grade to the nearest hundredth is equal to 3.38 degrees.

An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

In Science, grade resistance simply refers to force in pounds and can be modeled by the following equation:

F = Wsinθ

Where:

Making theta (θ) the subject of formula, we have:

θ = sin⁻¹(F/W)

Substituting the given parameters into the formula, we have;

θ = sin⁻¹(160/2710)

θ = sin⁻¹(0.0590)

Theta, θ = 3.38 degrees.

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Using Venn sets, the number of elements in the sets are given as follows:

For this problem, we consider that the sets A, B and C are the sets represented in the problem, and use the information given to find the number of elements in each set.

For the set A, we have that:

Hence 12 elements belong only to set A and 10 belong to both A and C, hence set A has 22 elements.

For the set B, we have that:

In total, there are 31 elements, of which:

31 - 31 = 0, hence set B has only 1 element, that is also present in set C.

For the set C, we have that:

Hence it has 10 elements that are also in set A, and 9(the intersection with B is included in C - A as n(AnB) = 0) are not, hence set C has 19 elements.

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The dimensions of the original rectangle is a length of 56.66 meter and width of 23.33 meter.

Perimeter is the sum of all the sides of a two dimensional polygon or shape.

For first rectangle let x represent width:

Length = 2x + 10; width = x

Perimeter = 2(length + width)

Perimeter = 2(2x + 10 + x) = 6x + 20

For second rectangle:

Length = 2x + 10 + 100 = 2x + 110; width = x - 20

Perimeter = 2(length + width)

Perimeter = 2(2x + 110 + x - 20) = 6x + 180

the perimeter of the new rectangle would be twice the perimeter of the original rectangle. Hence:

6x + 180 = 2(6x + 20)

x = 23.33 m, length = 2x + 10 = 56.66

The dimensions of the original rectangle is a length of 56.66 meter and width of 23.33 meter.

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This simplifies to

[tex]|(6-x)-9|\\\\\boxed{|-x-3|}[/tex]

The measure of m∠MSP as represented in the image attached is 74 degrees.

An equation is an expression that shows the relationship between two or more numbers and variables.

An angle is formed from the intersection of two or more lines. Types of angles are acute, obtuse and right angle.

From the image shown:

m∠MSN + m∠MSP = 180° (sum of angles in a straight line)

106 + m∠MSP = 180°

m∠MSP = 74°

The measure of m∠MSP as represented in the image attached is 74 degrees.

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14  is the perimeter of the rectangle .

What does a rectangular 's perimeter mean?

The answer provided below has been developed in a clear step by step manner.

Step: 1

Given,  A(x) = x(14-x)

Comparing with A = lw , we have

Length , l = x and

Width , w = 14 - x

Step: 2

We know,

Perimeter of rectangle ,

p = 2( l + w )

p = 2 ( x + 14 - x )

p = 28

Hence,

Perimeter of rectangle = 14

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Answer:

2

90

Step-by-step explanation:

54 / 3 = 18

so 18 licks per 1 lollipop.

18 + 18 = 36 (aka 2 lollipops).

18 x 5 = 90 (equivalent to 5 lollipops).

Answer:

36/2

90/5

Step-by-step explanation:

54/3=18 36/2=18 and 90/5= 18

Step-by-step explanation:

f(x) = 4x + 15

6x - 3

if x = -1 (replace x with -1 )

f(-1) = 4(-1) + 15

6(-1) -3

= -4 + 15

-6 -3

= -11

-9

"minus cancel each other when dividing"

Answer = 11

9 or 1.22

Hope this helps ...:⁠-⁠)

Answer: 12x+17

Step-by-step explanation:

(hog)(x)=

h(g(x))=

h(4x+5)=

3(4x+5)+2=

12x+15+2=12x+17

Answer:

honestly, I don’t think I’m right

Step-by-step explanation:

Answer:

c) 5

Step-by-step explanation:

Solving for the value of x,

→ 3x + 9 = 24

→ 3x = 24 - 9

→ x = 15/3

→ [ x = 5 ]

Hence, option (c) is correct.

The two integers where the value of square root of 11 lies is between 3 and 4.

It should be noted that the information is to find the two integers where the value of square root of 11 lies.

It should be noted that the square root of 11 is 3.33.

It should be noted that 3.33 lies between 3 and 4.

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Between which two integers is the value of square root of 11.

Answer:1,3

Step-by-step explanation: it is reflecting over the x-axis, not the y-axis. when answering these questions, keep in my what axis you're working with. hope this helps.

Answer:

  700 mL

Step-by-step explanation:

Lena wants to know how much of solution B she uses to obtain a mixture of solution A with 20% alcohol and solution B with 17% alcohol that contains 400 mL less of solution A, and has 179 mL of alcohol in it.

Let b represent the number of mL of solution B in the mixture. Then (b-400) will be the number of mL of solution A. The number of mL of alcohol in the mix is ...

  0.20(b -400) +0.17b = 179

Simplifying the equation gives ...

  0.37b -80 = 179

  0.37b = 259 . . . . . . add 80

  b = 700 . . . . . . . . divide by 0.37

Lena uses 700 mL of solution B (17%) for the resulting mixture to have 179 mL of pure alcohol.

__

Additional comment

That means there will be 300 mL of solution A, and the contributions from each solution are ...

the value of y for the given circle will be 1 / 50 ( approx).

We are given a unit circle.

So, we get that:

centre = (0, 0)

Equation of the circle will be

x² + y² = 1

Now, we have a point (- 17 / 20, y)

Substituting the values in the equation, we get that:

(- 17 / 20)² + y² = 1

343 / 400 + y² = 1

y² = 57 / 400

y = 1 / 50 ( approx)

Therefore, we get that, the value of y for the given circle will be 1 / 50 ( approx).

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Answer: top one is 111 dont know bottom

Step-by-step explanation:

<3

Answer:

x=7

7-7/7-6=0

0/1=0

Zero divided by anything=0

Answer:

if you want to multiply its 1.83 x 47 = 86.01

Step-by-step explanation: