How many
inches are in 3.5 miles

Answer:

switzerland was the leading country in chocolate consumption per capita in 2017, with citizens eating nearly nine kilos of the sweet stuff in that year. World renowned for the chocolate they produce, it seems the Swiss themselves can’t get enough of the candy. Germany, the country’s neighbor, is equally addicted, importing the largest share of Swiss chocolate of all countries in the world.

Step-by-step explanation:

Answer: a swede would consume 1.9 times as much chocolate as an American.

Step-by-step explanation: 9.1 / 4.7 = 1.93617021. round to the nearest tenth = 1.9.

1.93617021 times 4.7 equals 9.1

Answer:

supplementary, not congruent.

No, they will not have the same amount in their account at any point of time.

Given that:-

Money deposited by Rodney at the opening of savings account = $ 75

Money deposited by Rodney each month in the account = $ 40

Money deposited by Morgan at the opening of savings account = $ 50

Money deposited by Morgan each month in the account = $ 40

Let us imagine that they will have equal amount of money in their accounts at a particular point of time.

Let us consider x to be the number of months when they will have same amount of money in their account.

Hence, we can write,

75 + 40x = 50 + 40x

We can see that,

75 - 50 = 40x - 40x

25 = 0

But this is not possible.

Hence, they will never have the same amount of money in their accounts at a particular point of time.

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The non-real solutions are (2 + i√26)/3 and  (2 - i√26)/3

The equation of the polynomial expression is given as:

3x^3 + 14x^2 - 14x + 60 = 0

From the question, we have

x = -6

This gives

So, we have

x + 6 = 0

The next step is to divide the polynomial equation 3x^3 + 14x^2 - 14x + 60 = 0 by x + 6 = 0

This is represented as

3x^3 + 14x^2 - 14x + 60/x + 6

Using a graphing calculator, we have

3x^3 + 14x^2 - 14x + 60/x + 6 = 3x^2 - 4x + 10

Next, we determine the solution of the quadratic expression 3x^2 - 4x + 10 using a quadratic formula

So, we have

x = (-b ± √(b² - 4ac))/2a

This gives

x = (4 ± √((-4)² - 4 * 3 * 10))/2 * 3

So, we have

x = (4 ± √-104)/6

This gives

x = (4 ± 2√-26)/6

Divide

x = (2 ± √-26)/3

Rewrite as

x = (2 ± i√26)/3

Split

x = (2 + i√26)/3 and  x = (2 - i√26)/3

Hence, the non-real solutions of the polynomial expression are x = (2 + i√26)/3 and  x = (2 - i√26)/3

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The surface area and volume of the solid are  104 in² and 60 in³

It is important to note that the figure takes the shape of a cuboid.

The formula for determining the surface area of a cuboid is expressed as;

SA = 2lw + 2lh + 2hw

Where;

Now, let's substitute the values into the formula, we have;

Surface area = 2(5× 2) + 2(5 ×6) + 2(6 × 2)

expand the bracket

Surface area = 2(10) + 2(30) +2 (12)

Surface area = 104 in²

The formula for volume is given as;

Volume = l × w × h

Volume = 5 × 2 × 6

Volume = 60 in³

Thus, the values are  104 in² and  60 in³

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The greatest number of crates that can safely be lifted  at one time without breaking the cable is 71.

What is GCF?

The biggest positive integer m that divides both x and y is the GCF of two or more non-zero integers, x, and y. The GCF stands for greatest common factor. In this case, greatest can be changed to highest, and factor to divisor. The highest common factor is often referred to as the biggest common factor, highest common factor, or highest common divisor (GCD). GCF is usually always utilised with fractions, which are frequently employed in daily life. You can obtain the necessary reduced form by determining the GCF of the denominator and numerator of a fraction or ratio.

A crane has a cable with a breaking strain of 6400 kg  measured to 2 significant figures.  It is used to lift crates which weigh 90 kg measured to the nearest 10 kg.

We need to calculate the greatest number of crates that can safely be lifted at one time without breaking the cable.

According to the question,

It is given that, the breaking strain of the crane is 6,400 kilograms and each crate is 90 kilograms.

Thus, to know the number of crates (n) that can safely lift is equal to the weight of the crane is 6,400 kilograms divided by is 90 kilograms.

thus,

[tex]n=\frac{weight of the crane}{weight of each crate}\\ \\n=\frac{6400}{90}[/tex]

so,  n= 71.111≈71

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Answer:

t = 8

Step-by-step explanation:

1. 2.5(t-2)-6 = 9      =       2.5t-5-6=9

2. add common terms = 2.5t - 11 = 9

3. add 11 on both sides to eliminate the 11

4. 2.5t= 20

5. 20/2.5 = 8

6. t = 8

Answer:

Explanation:

eight of the bush when it was first planted int he garden = 12cm

After 2 weeks, its height = 120% of Height when it was planted.

We solve for the result.

The bush was 14.4cm tall after two weeks.

The expression for study hours of Francesca will be ( Z + 4 ) hours.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Jonah studied z hours for a big test. Francesca studied a fourth as long as Jonah studied.

The expression will be written as Francesca studied 4 hours more than Jonah.

Francesca's study time = ( Z + 4 ) hours

Therefore, the expression for study hours of Francesca will be ( Z + 4 ) hours.

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[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad B(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +7}{2}~~~ ,~~~ \cfrac{ y +4}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE M}}{(6~~,~~3)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ x +7}{2}=6\implies x+7=12\implies \boxed{x=5} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y +4}{2}=3\implies y+4=6\implies \boxed{y=2}[/tex]

The most appropriate choice for sets, union and intesrsection of set will be given by

1) (A ∩ B) U C = {-2, 1, 5, 7, 9, 11}

2)  (B U C) ∩ A = {5, 7, 9, 11}

What is set and union and intersection of set?

Set is a well defined collection of distinct objects. Set can be empty as well as non empty.

Writing all the elements of two or more sets together in one set is known as union of sets.

Writing the common elements of two or more sets in one set is known as intersection of sets.

Given,

A= {0,3,5,7,9,11,12}

B={-3,5,8,9,11,14}

C={-2,1,5,7}

For 1)

(A ∩ B) = {5, 9, 11}

(A ∩ B) U C = {-2, 1, 5, 7, 9, 11}

For 2)

(B U C) = {-3, -2, 1, 5, 7, 8, 9, 11, 14}

(B U C) ∩ A = {5, 7, 9, 11}

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since the angles are opposite by the vertex, we have that the expression to find the value of x is:

and if we solve it, we obtain:

The incenter is the center of a circumference that can be circumscribed inside the triangle. That means that the distance from the circumcenter to the sides of the triangle is the same. In this case, it means that:

On the other hand, the segments from the circumcenter N to the vertices of the triangle are angle bisectors, and using that fact, it can be proven that the two triangles that form at each vertex from the angle bisectors are congruent. Then, we can also know that:

The congruence that cannot be deduced from the given information is:

We have the following:

To find the percent markup, we must calculate the profits, knowing that there are 300 shirts and they sell them for a total of $ 20

Now we subtract from what was initially spent and then divide by that same amount and multiplying by 100 we will know the percent markup

Which means that the percent markup is 67%

Answer:

74.44

Step-by-step explanation:

[tex]P(10)=0.018(10)^3-0.294(10)^2+3.065(10)+55.190 \\ \\ =74.44[/tex]

If the car uses 3 1/8 gallons per hour and the number of hours is 4 2/3, we can multiply both values to find the total amount of gallons used in this time.

First, we need to convert 3 1/8 and 4 2/3 into improper fractions:

Now, multiplying the values, we have:

So the car will use 14.58 gallons.

tata:

• Blue paint (,: B,) 3

• ellow poaint (

• Mixture obtained ( ),O

• Total mixture (), T

• Total yellow paint (): , TY

Proportion f Y:

TY:

nswer: 8oz

ummary:

0. We got the proportion of yellow paint in the mixture

1. We multiply the proportion by the total mixture to know how many ounces of yellow paint is needed.

Number of cars in the lot = 725 cars

W is the number of full or complete weeks

Also, 50 cars per week = 50w;

For every week, the cars will be reducing by 50;

(A) Hence , the inequality is given as;

Answer:

156 and 157

Step-by-step explanation:

A.

The initial weight of the goldfish is 0.5 ounces.

Then, for each inch it grows, its weight increases by 0.15 ounces.

So, using the variable r to represent the number of inches it grew, we can write the following equation to determine the value of x for a weight of 1.1 ounces:

B.

Solving the equation for r, we have:

It needs to grow 4 more inches.

Given expression is (a+b)^8 and we need to find the 5th term of this series.

Explanation -

The general binomial expression is given as

So the given expression can be written as

So the 5th term will be

Then we have

The group of restrictions used to simulate the issue includes

The issue includes the following information.

The limitations for modeling the problem are as follows: The gap between the number of hours Savanah has reserved and those that John has is no more than five times.

Savanah will provide child care for a minimum of 40 hours, but no longer than that, indicating that it is less than; as a result.

,y<5x

Meaning "at least 40 hours" is "at least 40 hours." 40 hours or more may be expressed as

y ≥ 40 hours

The two necessary restrictions are represented as y< 5x and y=> 40 hours in an inequality model.

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The equation of the time she can afford to park her car is 2 + 3t = N

The given parameters are

Assume she stays for t number of hours, the total charges would be

Total = Entrance charge + Rate per hour * Number of hours

This gives

Total = Entrance charge + Rate per hour * t

Substitute the known values in the above equation

So, we have

Total = 2 + 3t

From the question, she has N dollars

So, we have

2 + 3t = N

Hence, the expression of the description is 2 + 3t = N

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Answer:

p = 18, q = 0

Step-by-step explanation:

The expression on the left side of the equation is
[tex]\large \text {$ \dfrac{\sqrt{5}+\:2}{\sqrt{5}-2}+\dfrac{\sqrt{5}-\:2}{\sqrt{5}+2} $}[/tex]

Multiply the denominators to get a common denominator:

[tex]\text{$\left(\sqrt{5}-2\right)\left(\sqrt{5}+2\right)$}[/tex]

= [tex]\left(\sqrt{5}\right)^2-2^2[/tex]                           ∵ (a + b)(a - b) = a² - b²

[tex]=5-4\\\\= 1[/tex]

[tex]\large \text {$ \dfrac{\sqrt{5}+\:2}{\sqrt{5}-2}+\dfrac{\sqrt{5}-\:2}{\sqrt{5}+2} $}\\\\[/tex]

[tex]=\dfrac{\left(\sqrt{5}+2\right)\left(\sqrt{5}+2\right)}{\left(\sqrt{5}-2\right)\left(\sqrt{5}+2\right)} + \dfrac{\left(\sqrt{5} - 2\right)\left(\sqrt{5} - 2\right)}{\left(\sqrt{5}-2\right)\left(\sqrt{5}+2\right)}[/tex]

Since denominator
[tex]\text{$\left(\sqrt{5}-2\right)\left(\sqrt{5}+2\right)$} = 1,[/tex]

the expression becomes

[tex]=\left(\sqrt{5}+2\right)^2 + \left(\sqrt{5}-2\right)^2\\\\= 5 + 4\sqrt{5} + 4 + 5 - 4\sqrt{5} + 4\\\\[/tex]

[tex]= 10 + 8 = 18[/tex]

Therefore  
[tex]\large \text {$ \dfrac{\sqrt{5}+\:2}{\sqrt{5}-2}+\dfrac{\sqrt{5}-\:2}{\sqrt{5}+2} = p + q\sqrt{5}$}\\\\\\= > \large \text{$ 18 = p + q\sqrt{5}$}[/tex]

Now [tex]\sqrt{5}[/tex] is an irrational number and p = rational so since there is no [tex]\sqrt{5}[/tex] term on the left side, q = 0 and p = 18

We want to draw chord LM such that it is a perpendicular bisector of line JK. The square would be drawn by joining lines JL, KL, KM and MJ

To achieve this, the daigram should look like the one shown below

This diagram is only possible if JK passes through the center of the circle. This means that JK is the diameter of the circle. Thus, the correct option is

B

Answer:

B

Step-by-step explanation:

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

Explanation:

The unique digits are: 9, 6, 1

There are 1+3+3 = 7 digits with the repeats mentioned. If we could somehow tell the 6's apart and the 1's apart, then we'd have 7! = 7*6*5*4*3*2*1 = 5040 different permutations.

But because we can't tell the 6's apart, nor the 1's apart, this means we have to divide by (3!*3!). Each 3! represents the number of times the 6's show up and same goes for the 1's.

So (5040)/(3!*3!) = 5040/(6*6) = 5040/36 = 140 is the number of ways to rearrange the digits

Given the patient consumption rate on his diet:

(a) Average energy per day consumed will be since the number of days = 4

The average energy per day consumed = 850 Cal(b) The unit symbol for the answer = calorie

Answer:

-7/10

Step-by-step explanation:

First, we obviously need to convert 0.66 into a fraction.  Since -7/10 cannot be changed, we need to change AND simplify -0.66.

-0.66 is equal to -66/100, but we can still simplify this. We can divide the numerator and denominator by 2.

66 divided by 2 is 33.

100 divided by 2 is 50.

-33/50 CANNOT be simplified anymore.

So -7/10 _ -33/50. Which is greater?

-7/10 is closer to 0 on the number line. -33/50 isnt.

So -7/10 is the answer.

-7/10 > -0.66

Answer

Selling price = $ 925

Mark percentage = 62%

The cost price is 570.