two shops have different deals for buying bottles of cola:
Shop A: Buy two bottles Get one free
Total cost:£3.00
Shop B:Buy three bottles Get the fourth Half price
Total cost:£3.85
if you wish to buy only one bottle, which shop is cheaper?

The equation associated with the quotient of twenty and a number, decreased by 4, is equal to zero is 20/x - 4 = 0 and that number will be 5.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say that number is x,

Quotients of 20 and x will be given as 20/x

20/x - 4 = 0

20/x = 4

x = 20/4 = 5

Hence"The equation associated with the quotient of twenty and a number, decreased by 4, is equal to zero is 20/x - 4 = 0 and that number will be 5".

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Answer: 472392

Step-by-step explanation:

the pattern is three times the last number e.g.

8x3=24

24x3=72

72x3=216

Then to find the 11th term you continue this pattern.

5=648

6=1944

7=5832

8=17496

9=52488

10=157464

11=472392

Answer:

2.6

Step-by-step explanation:

We have the function  f (x) = [x – 3]

We need to inster the value required which is 5.6

f (5.6) = [5.6 – 3]=

5.6-3 =2.6

f (5.6)=2.6

The mean for the short-term parking spaces in 9 airports is =

3758.4444.

Average is another word for "mean." For instance, if we say that the average height of the 9th grade class is 150 cm, it signifies that this is the mean of all of the kids' heights.

The statistical notion of mean, which is employed in a variety of financial areas and corporate appraisal, has significant financial implications. The three statistical indicators of the central tendency of a data set are mean, median, and mode.

Now in the question, to find mean,

(5575 + 5617 + 3324 + 7860 + 494 + 3204 + 275 + 6899 + 578)/9

= 3758.4444

Therefore, the mean of the 9 airports = 3758.4444

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Answer:

the explanatory variable is "the amount of practice every year" while the response variable is "the improvement in his game"

Step-by-step explanation:

In simple terms, the difference between explanatory and random variable is that the response variable is usually the focus of a question in a study/experiment while an explanatory variable is a variable that explains changes in the response variable. Which means that the explanatory variable is simply any variable that may affect the response variable.

Now, in this question, the golfer wants to determine if the amount of practice every year can be used to predict the amount of improvement in his game.

This means that the amount of practice every year explains how much he improves every year.

Thus, the explanatory variable is "the amount of practice every year" while the response variable is "improvement in his game"

The amount (present value at age 60) that Sandro would neet in his retirement savings account in order to have a monthly income of $1,500 until he is 90 years old, compounded at 4.5% monthly is $296,041.74.

The present value is computed using an online fiance calculator that discounts the future withdrawals (monthly income) for a 360-months period.

End of withdrawal period = 90 years old

Beginning of withdrawal period = 60 years old

The number of years between 60 and 90 = 30 years

N (# of periods) = 360 months (30 years x 12)

I/Y (Interest per year) = 4.5%

PMT (Periodic Payment) = $-1,500

FV (Future Value) = $0

Results:

Present Value (PV) = $296,041.74

Sum of all periodic payments = $540,000 ($1,500 x 360 months)

Total Interest = $243,958.26

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a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

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Answer:

roberto is not smart

Step-by-step explanation:

34/45 is 0.75555555555 or 0.75 or .75

ur welcome

√ 3 can be classified as a non negative square root of the number 3 which is also a real and irrational number.

We are given a number √ 3.

We need to classify the number.

First we can see that, this is the non negative square root of the number 3.

That is when we multiply √ 3 two times, we get the number 3.

Also, we can see that, it will be an irrational number as it will be non terminating and non repeating number.

That is it will be a real irrational number.

Therefore, we get that, √ 3 can be classified as a non negative square root of the number 3 which is also a real and irrational number.

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All the solutions are,

⇒ x = 1/2 (w- v)

⇒ x = (b - 9)/(a - 2)

⇒ x = (4 + w) / (7 - v)

⇒ x = 2 / (v + w)

⇒ x = 7v/(3w - 4)

Given that;

Expressions are,

⇒ 6x + v = 4x + w

⇒ ax + 9 = 2x + b

⇒ 7x - w = vx+4

⇒ 6 - wx = vx + 4

⇒ 3(wx - v) = 4(x + v)

We can simplify as;

⇒ 6x + v = 4x + w

⇒ 6x - 4x = w - v

⇒ 2x = w - v

⇒ x = 1/2 (w- v)

⇒ ax + 9 = 2x + b

⇒ ax - 2x = b - 9

⇒ (a - 2)x = b - 9

⇒ x = (b - 9)/(a - 2)

⇒ 7x - w = vx+4

⇒ 7x - vx = 4 + w

⇒ (7 - v) x = 4 + w

⇒ x = (4 + w) / (7 - v)

⇒ 6 - wx = vx + 4

⇒ vx + wx = 6 - 4

⇒ (v + w)x = 2

⇒ x = 2 / (v + w)

⇒ 3(wx - v) = 4(x + v)

⇒ 3wx - 3v = 4x + 4v

⇒ 3wx - 4x = 7v

⇒ (3w - 4)x = 7v

⇒ x = 7v/(3w - 4)

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Answer:

171 > 117

Step-by-step explanation:

171 is greater than 117 meaning the alligator is eating the bigger number, 171.

A graph of the given piecewise-defined function is shown in the image below.

In Mathematics and Geometry, a piecewise-defined function simply refers to a type of function that is defined by two (2) or more mathematical expressions over a specific domain.

Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains. By critically observing the graph of this piecewise-defined function, we can reasonably infer and logically deduce that it is constant over several intervals or domains such as x > 2 and x < -2.

In conclusion, this piecewise-defined function has a removable discontinuity.

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6 inches will be the length of the patio.

According to the scale, 1 inch on the plan corresponds to 3.5 feet in real life.

We must convert the patio's real length of 21 feet to inches using the scale in order to determine how long it would look on the blueprint:

3.5 feet to one inch

21 feet in x inches

If we cross-multiply, we obtain:

1 inch/3.5 feet * 21 feet

= x inches

= 6 inches.

As a result, the length of the patio will be indicated on the blueprint as 6 inches.

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The correct responses found using trigonometric ratios are as follows;

1. The depth of the water = 15 × tan(4°) = 1.049 m

The height of Brooke's boot = 1 m

Therefore;

2. The angle of elevation of the plan = arccos(99/100) ≈ 8.110°

Given that the angle of elevation the plan, 8.110°, is more than 8° limit, we find;

3. Height reached by the plane = 9 × tan(21°) = 3.455

Therefore;

4. Height of the chimney at the factory = 50 × tan(51°) = 61.745

The minimum chimney height = 65 m.

Therefore;

6. Length of the bridge = 72 × tan(55°) ≈ 102.83

Therefore;

7. Height reached by the ladder = 26 × sin(43°) ≈ 17.7

Therefore;

8. Height reached by the ski lift = 1000 × sin(29°) ≈ 484.8

Therefore;

9. Height reached by plane = 26 × tan(9°) ≈ 4.12

The plane flies under the cloud therefore;

10. Length required for the metal brace = 21/(cos(73°)) ≈ 71.83

Therefore;

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Answer:

3498

Step-by-step explanation:

Answers:

===============================

Explanation:

The rule you use is

(a^b)^c = a^(b*c)

For something like (2^5)^6, we have a = 2, b = 5, c = 6

So,

(a^b)^c = a^(b*c)

(2^5)^6 = 2^(5*6)

(2^5)^6 = 2^30

because 2^30 is so massive, it's likely your teacher will want you to keep 2^30 as is and not use your calculator to find what it turns into.

The other expressions are simplified in a similar manner.

For part (d), you'll use the rule x^0 = 1, where x is nonzero.

Answer:

0.9 grams

Step-by-step explanation:

The point estimate for the average weight of Soap Bar A is:

\(A=\frac{121+122+124+ 123+ 120+ 124+ 121+ 121+ 121+ 123+ 120}{11}\\A=121.82\ grams\)

The point estimate for the average weight of Soap Bar B is:

\(B=\frac{121+120+122+ 119+ 121+ 122+ 122+ 120+ 120 +121+ 122+123+119}{13}\\B=120.92\ grams\)

Therefore, the point estimate for the true difference between the given population means is:

\(Dif = A-B\\Dif = 121.82-120.92\\Dif=0.9\ grams\)

The point estimate for the difference is 0.9 grams.

Divide 1000 by 38:

1000/ 38 = 26.316

Use the whole number and multiply it by 38:

26 x 38 = 988

The number is 988

The first thing is to remember that \((f\circ g)(2) = f(g(2))\) and you have to work from the inside.  So first, from the table, we see

    g(2) = 0

So this gives us  \(f(\bold{g(2)}) =f(\bold{0})\).

Now from the graph, f(0) = -3.

Putting that together, we have

    \((f\circ g)(2) = -3\)

Answer:

Step-by-step explanation:

70

Answer:

70

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-2+2)/(9+3)= 0/12= 0

y + 2 = 0(x + 3)

y + 2 = 0

y = -2

The radius of the circle is determined as r = 5.

option B.

The radius of the circle is determined by applying the general formula for circle equation.

(x - h)² + (y - k)² = r²

where;

The given circle equation;

4x² + 4y² = 100

Simplify the equation by dividing through by 4;

x² + y² = 25

x² + y² = 5²

So from the equation above, the radius of the circle corresponds to 5.

r = 5

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Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

⇒ A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

⇒ B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

⇒ B. P37.70

Answer:

C. 56km

Step-by-step explanation:

16 / 2 = 8 km/h

8 × 7h = 56

Answer:

x = 36

Step-by-step explanation:

Multiply the numbers

50 = x -1 (-14)

50 = x + 14

Subtract 14 from both sides of the equation

50 = x + 14

50 - 14 = x + 14 - 14

Simplify

x = 36

[RevyBreeze]

Answer:

False

Step-by-step explanation:

3+4(6)=26

3+24=26

27=26

Answer:

NOPE NOT AT ALL

Step-by-step explanation:

3+4x = 26

If x=6

3+ 4(6)= 3+24=27≠26

THEREFORE THE EQUATION ISN'T TRUE

Based on the student's loaning methods, the amount he started with, and the amounts loaned, the smallest amount he could have by the 4th Friday is €57.

The maximum period that his friends could borrow for is 3 weeks. This means that on the 4th Friday, the loan on the first week would have to pay paid back at the latest.

The smallest amount the student could have is:

= Amount started - week 2 - week 3 - week 4

= 120 - 25 - 18 - 20

= €57

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Answer:

\(x=\sqrt{10}\)

Step-by-step explanation:

The given equation is :

\(5-2x^2=-15\)

We need to solve it using inverse operations.

Subtract 5 from both sides of the equation.

\(5-2x^2-5=-15-5\\\\-2x^2=-20\\\\2x^2=20\\\\x^2=10\\\\x=\sqrt{10}\)

So, the solution of the given equation is \(x=\sqrt{10}\).

Answer:

Step-by-step explanation:

perimeter = semicircle (x2) + parallelogram side (x2)

                = 1/2 π 12 (x2) + 15 (x2)

               = 37.7 + 30

               = 67.7