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The solution to the equation 6(72(x - 2)) = 4(15 - 3x) is x = 77/37.

Given the equation in the question

6(72(x - 2)) = 4(15 - 3x)

To solve the equation, remove the parenthesis by applying distributive property.

6( 72 × x - 72 × 2 ) = 4 × 15 - 4 × 3x

6( 72x - 144 ) = 60 - 12x

6( 72x - 144 ) = 60 - 12x

6 × 72x - 6 × 144 = 60 - 12x

432x - 864 = 60 - 12x

Collect like terms

Add -12x to both sides

432x + 12x - 864 = 60 - 12x + 12x

432x + 12x - 864 = 60

Add 864 to both sides

432x + 12x - 864 + 864 = 60 + 864

432x + 12x = 60 + 864

444x = 924

x = 924/444

x  = 77/37

Therefore, the value of x is 77/37.

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The dimensions will be as follows;

width is 5cm while the length is 20cm.

Let width = w

Let length = 4w (according to question)

Perimeter = 50cm

Perimeter formula for a rectangle = 2 (l +w)

Substituting in the variables (width and length)

2(w + 4w) = 50

2(5w) = 50

10w = 50

w = 5

Remember that length = 4w

length = 4w

length = 4(5)

length = 20cm

Therefore, the dimensions of the rectangle are 5cm by 20 cm.

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Answer:

  6 years

Step-by-step explanation:

You want the length of time it takes for a $50 investment to total $3200 if it doubles in value each year.

The value of the investment can be described by ...

  v = 50·2^t

where t is the number of years.

You want t when v=3200:

  3200 = 50·2^t

  64 = 2^t

  log(64) = t·log(2) . . . . . take logarithms

  t = log(64)/log(2) = 6

It will take 6 years for her investment to reach $3200.

__

Additional comment

If you're familiar with powers of 2, you recognize that 64 = 2⁶. Comparing exponents in ...

  64 = 2^t

  2^6 = 2^t . . . . . use 2^6 for 64

we can see that t=6. The logarithms are used to formalize this comparison.

It will take 10 years for the account to reach $200, as determined by solving the equation A = [tex]325(1 + 0.047/12)^(12t)[/tex] for t.

[tex]A = 325(1+0.047/12)^(12t)[/tex]

[tex]200 = 325(1+0.047/12)^(12t)[/tex]

[tex]200/325 = (1+0.047/12)^(12t)[/tex]

[tex]log_((1+0.047/12))(200/325) = 12t[/tex]

[tex]t = log_((1+0.047/12))(200/325) / 12[/tex]

t = 8.75 years

It will take 9 years for the account to reach $200.

Hassan deposited $325 into an account that pays 4.7% annual interest compounded monthly. We can use a system of equations to determine how many years it will take for the account to reach $200. To do this, we first write an equation to represent Hassan's account balance A after t years. This equation is[tex]A = 325(1+0.047/12)^(12t)[/tex]. We then solve for t by taking the logarithm of both sides, which gives us means that it will take 8.75 years for the account to reach $200, which we round up to 9 years.

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The value of x in the diagram is given as follows:

x = 10.

Similar triangles share these two features:

Considering the similar triangles, the proportional relationship for the side lengths is given as follows:

6/(6 + x) = (x - 1)/(2x + 4).

Applying cross multiplication, the value of x is obtained as follows:

(x - 1)(x + 6) = 6(2x + 4)

x² + 5x - 6 = 12x + 24

x² - 7x - 30 = 0.

Factoring, we obtain the solutions are follows:

(x - 10)(x + 3) = 0.

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Answer:

i) 84

ii) 7

iii) 47

iv) 16

v) 56

vi) 54

Step-by-step explanation:

The easiest way to understand this problem visually is to create a Venn diagram (See attached diagrams below to help you)

First, note that the total amount of people with each condition beside the relevant circle. Then, since 15 have all 3, write 15 in the center.

We're told 35 had arthritis and arteriosclerosis, and 15 had all 3, so the amount with arthritis and arteriosclerosis only is 25-25=20. So we write 20 in the crosssection between arthritis and arteriosclerosis that doesn't include loss of hearing.

We're told 33 had arthritis and loss of hearing, and 15 had all 3, so the amount with arthritis and loss of hearing but not arteriosclerosis is 33-15=18. So we write 18 in the crosssection between arthritis and loss of hearing that doesn't include arteriosclerosis.

We're told 31 had arteriosclerosis and loss of hearing, and 15 had all 3, so the amount with arteriosclerosis and loss of hearing only is 31-15=16. So we write 16 in the crosssection between arteriosclerosis and loss of hearing that doesn't include arthritis.

(see diagram A to see how this should look)

70 people have arthritis and (18+25+20=63) have arthritis and another condition, so the amount with only arthritis is 70-63=7

60 people have arteriosclerosis and (20+15+16=51) have arteriosclerosis and another condition, so the amount with only arteriosclerosis is 60-51=9

80 people have loss of hearing and (18+15+16=49) have loss of hearing and another condition, so the amount with only loss of hearing is 80-49=31

Marking in these figures completes the diagram (See diagram B to see how it should look)

i)

The total amount of people represented within the diagram (ie, the ones with conditions) is 7+20+9+18+15+16+31=116. If 200 were surveyed, this means the amount without these conditions is 200-116=84

ii)

Above, we found the amount with arthritis only was 7

iii)

7 have only arthrits, 9 have only arteriosclerosis, and 31 have only  loss of hearing , so the amount with only one ailment is 7+9+31=47

iv)

Above, we found that 16 had arteriosclerosis and loss of hearing but not arthritis

v)

The amount with arteriosclerosis or loss of hearing but not arthritis is equal to the amount with arteriosclerosis only plus the amount with loss of hearing plus the amount with both arteriosclerosis and loss of hearing: 9+31+16=56

vi)

Above, we found the amount with arthritis and arteriosclerosis only is 20, the amount with arthritis and loss of hearing but not arteriosclerosis is 18, and the amount with amount with arteriosclerosis and loss of hearing only is 16. So the total amount with exactly two conditions is 20+18+16=54

In physics lab, when you measure three quantities of x, y, and z, you can use these mathematical combinations to find meaningful relationships between these quantities:  

In this case, x=2.5 kg, y=0.8 m, and z=4.9 kg/m.

Based on the given quantities' scale, we know that x, y, and z have a relationship where:

z = x/y

Then, the mathematical combinations that might be meaningful are:

- (x/y) - z: This combination gives you the difference between the ratio of x and y, and z. This could be meaningful if you are trying to find the difference between two quantities that have different units.

- (x/z) - y: This combination gives you the difference between the ratio of x and z, and y. This could be meaningful if you are trying to find the difference between two quantities that have different units.

- x - (yz): This combination gives you the difference between the ratio of x and z, and y. This could be meaningful if you are trying to find the difference between two quantities that have different units.

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Answer:

100 dispenses

Step-by-step explanation:

To check the answer:

Gumballs: 200 - (1*100) = 100

Explanation: 200 gumballs - (1 gumball * 100 dispenses) = 100 gumballs left.

Chocolate Candies: 900 - (8*100) = 100

Explanation: 900 candies - (8 candies * 100 dispenses) = 100 candies left.

Answer:

  100

Step-by-step explanation:

Given a candy machine with 200 gumballs dispensed 1 at a time, and another with 900 chocolates dispensed 8 at a time, you want to know how many dispenses from each will result in equal counts left in the machines.

The number of remaining gumballs after d dispenses is ...

  g = 200 -d

The number of remaining chocolates after d dispenses is ...

  c = 900 -8d

The number remaining in each machine will be equal when ...

  g = c

  200 -d = 900 -8d . . . . . substitute the above expressions

  7d = 700 . . . . . . . . . . add 8d -200

  d = 100 . . . . . . . . . divide by 7

100 dispenses from each machine will make the number of candies in the machines equal.

Answer:

a sea monkey weighs 6.6oz

Step-by-step explanation:

The solution of the system of linear equations y = 9x + 14 and y = 6x + 35 will be (7, 77).

An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.

The system of linear equations is given below.

y = 9x + 14                ....1

y = 6x + 35              ....2

From equations 1 and 2, then we have

9x + 14 = 6x + 35

3x = 21

x = 7

The value of 'y' is given as,

y = 6 (7) + 35

y = 42 + 35

y = 77

The solution of the system of linear equations y = 9x + 14 and y = 6x + 35 will be (7, 77).

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The total number of each type of bill and coin are

$5 bills x 5,

$1 bills x 10,

quarters x 16,

dimes x 9.

Equations are mathematical expressions with two algebraic expressions flanking the equals (=) sign on either side. It shows the relationship of equality between the expression written on the left side with the expression written on the right side.

Now in the given question,

$5 bills = x, total = 5x

$1 bills = 2x, total = x

Quarters = 3x + 1, total = 0.25(3x + 1)

Dimes = 3x + 1 - 7= 3x - 6, total = 0.1(3x - 6)

Equation below as the sum, solve for x:

5x + 2x + 0.25(3x + 1) + 0.1(3x - 6) = 39.9

7x + 0.75x + 0.25 + 0.3x - 0.6 = 39.9

8.05x  - 0.35 = 39.9

8.05x = 40.25

x = 40.25/8.05

x = 5

Number of each bill and coin:

$5 bills = 5

$1 bills = 2*5 = 10

Quarters = 3*5 + 1 = 16

Dimes = 3*5 - 6 = 9

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Answer:

Step-by-step explanation:

To find the volume of the container, we can use the formula for the volume of a cylinder: V = πr^2h, where r is the radius and h is the height. Plugging in the given values, we get:

V = π * 8.1^2 * 17.9 = 1146.4 cm^3

Since the sample contains 0.04 g of the trace element per cubic centimeter of water, the amount of trace element in the entire container can be found by multiplying the volume of the container by the concentration of the trace element:

0.04 g/cm^3 * 1146.4 cm^3 = 45.86 g

So Samir has collected approximately 45.9 g of the trace element, rounded to the nearest tenth.

Answer:147.6g

Step-by-step explanation

Answer:

The main cause of deforestation is agriculture (poorly planned infrastructure is emerging as a big threat too) and the main cause of forest degradation is illegal logging. In 2019, the tropics lost close to 30 soccer fields' worth of trees every single minute

There are 20 different combinations of committees that can be formed since no person can serve on more than one committee.

In order to form committees of 4, 3, and 2 people, we must first determine how many combinations are possible. There are 9 people in total, so the first committee must consist of 4 people. That leaves 5 people. The second committee must consist of 3 people, leaving 2 people for the final committee. To calculate the total number of combinations, we must multiply the number of choices for each committee. For the first committee, there are 9C4 combinations, for the second committee there are 5C3 combinations, and for the third committee there are 2C2 combinations. Multiplying these together, we obtain 9C4 x 5C3 x 2C2 = 20 combinations. Therefore, there are 20 different combinations of committees that can be formed since no person can serve on more than one committee.

The complete question: A group of 9 people is going to be formed into committees of 4, 3, and 2 people. How many can be formed if no person can serve on more than one committee?

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Without help, it would take Donald 8 hours to make 4 baked zitis.

Amount is the term used to describe a quantity or size of something it will stop to use to refer to a numbers of object items are people with as well as the measure of money time and distance.

This is due to the fact that, as Reynold and Donald work together, they are able to cut the time it takes to make 4 baked zitis in half. Therefore, when working alone, Donald would take twice as long to complete the same task.

For Reynold,  in 8 hour he make 4 zitis

Meaning,  in 1 hour he make 1/2 zitis

But with the help of Donald he make  in 4 hours 4 zitis

both in 1 hour makes  1 zitis

So we have,

Reynold time to make zitis + Donald time to make zitis = both time to make zities

⇒ 1/2 + x = 1

⇒ x = 1 - 1/2

⇒ x = 1/2

So, It take 1/2 hours Donald to make 1 baked zitis without help.

Therefore, It take 8 hours Donald to make 4 baked zitis without help.

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Sselecting A, B, and C is the same as selecting B, C, and A, so = 720/(3*2*1) = 120 combinations

When the decision's order is unimportant, a combination is a choice made in mathematics from among a group of distinct elements. A pear and an orange, an apple and an orange, or a trio of fruits—an apple, an orange, and a pear—can be paired into one of three pairs. An official definition of a k-combination of a set S is a subset of S's k unique items. Consequently, two combinations are considered to be same if and only if they both contain the same elements. If a collection contains n elements, a combination is any set of n objects taken k at a time without repetition.

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The  Commutative property Associative property Identity property  property of addition states that the way addends are grouped does not affect their sum.

The commutative property of addition states that the sum is unaffected by the order of the addends. 2+3=3+3

Changing the order of the addends has no effect on the sum, according to the associative property of addition.

(2+3)+4=2+(3+4)

Identity of addition property: Any number is equal to the sum of 0 00 and that number. For instance 0+5=5

According to the commutative property of addition, altering the order of addends has no impact on the sum. 2+3 = 3+2

as 3 rules are there only

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A quarterback completed 59% of his passes for a total of 265 yards and 2 touchdowns. The value "59%" is a statistic.

In this scenario, a sample of the quarterback's passes was taken during the championship football game, and the completion percentage was calculated based on that sample. Since the percentage was calculated based on a sample, it is a statistic. A parameter, on the other hand, is a value that describes a characteristic of an entire population. For example, if we were to consider the completion percentage of all quarterbacks in the league, then the mean or median completion percentage would be a parameter because it would describe a characteristic of the entire population of quarterbacks. In summary, statistics are values that describe a characteristic of a sample, while parameters are values that describe a characteristic of a population.

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Complete Question

Determine whether the underlined value is a parameter or a statistic. In a championship football game, a quarterback completed 59% of his passes for a total of 265 yards and 2 touchdowns. Is the value a parameter or a statistic?

The equation of the given information is y(x) = 5x+10

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

A mathematical equation is a statement with two equal sides and an equal sign in between.

Given that cost of renting for different numbers of hours.

The initial cost, regardless of time, is; $10. then the cost will increase at a rate of $5 per hour that the boat is rented.

Therefore, the cost (y) of renting a paddle boat for 'x' hours is:

y(x) = 5x+10

here linear relationship between x and y, where 5 is the slope of the equation, 10 is the y-intercept, the number of hours is the independent variable, and the cost is the dependent variable.

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There are 55 ways to form a train consisting of tank cars, boxcars, and flatcars by using concept of combinations.

If there are t tank cars, b boxcars, and f flatcars in the train yard, then the number of ways to form a train by selecting some of these cars is the same as the number of ways to distribute n = t + b + f identical objects into three distinct boxes, such that each box may receive any number of objects (including zero). The solution is given by the combination formula:

C(n + k - 1, k - 1)

where k is the number of boxes (in this case, k = 3). Therefore, the number of ways to form a train from t tank cars, b boxcars, and f flatcars is:

C(t + b + f + 3 - 1, 3 - 1) = C(t + b + f + 2, 2) = (t + b + f + 2)! / ((t + b + f)! * 2!)

There are 4 tank cars, 3 boxcars, and 2 flatcars in the train yard, then the number of ways to form a train is:

C(4 + 3 + 2 + 2, 2) = C(11, 2) = 55

Therefore, there are 55 ways to form a train consisting of tank cars, boxcars, and flatcars

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To determine Km from a double-reciprocal plot, you would choose option (A) which is to multiply the reciprocal of the x-axis intercept by -1.

In the double-reciprocal plot equation, the x-axis intercept is -1/Km, and the y-axis intercept is 1/Vmax. Therefore, if you take the reciprocal of the x-axis intercept, you get -Km, and multiplying it by -1 gives you Km.

This method is preferred because it is more accurate than estimating Km based on the position of the curve on the plot or by taking the x-axis intercept where V0 = 1/2 Vmax, which can be influenced by experimental error.

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Let L be the length of the rectangular garden.

The perimeter of a rectangle is given by the formula P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.

Substituting the given values, we get:

328 = 2L + 2(67)

Simplifying the equation, we get:

328 = 2L + 134

2L = 328 - 134

2L = 194

L = 194/2

L = 97

Therefore, the length of the rectangular garden is 97 meters.

The measures regarding the angles of the triangle are given as follows:

The angle measures are defined as follows:

The sum of the measures of the internal angles of a triangle is of 180º, hence the value of x is obtained as follows:

5x - 14 + x - 5 + 2x - 9 = 180

8x = 208

x = 208/8

x = 26.

Then the measures are given as follows:

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If there are 15000 average passengers on domestic flights daily, then 1/20 of the passengers are tourists, which means there are 15000 * (1/20) = 750 tourists daily.

And if 1/15 of the tourists are travel bloggers, then there would be 750 * (1/15) = 50 travel bloggers daily.

If there are 15000 average passengers on domestic flights daily, then 1/20 of the passengers are tourists, which means there are

15000 * (1/20) = 750 tourists daily

So, there would be a total of 50 tourist passengers on domestic flights who are travel bloggers.

It is important to note that these are average numbers and the actual number of tourists and travel bloggers on domestic flights can vary from day to day. However, this calculation provides a general idea of the proportion of tourist passengers who are travel bloggers on domestic flights.

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To find the balance of the account at the end of the week, we need to calculate all the transactions:

Initial balance: $150

Shoes: -$180

Cash advance: +$300

Repaid debt: -$250

Bank fee: +$110

Cash deposit: -$150

So the final balance would be $150 - $180 + $300 - $250 + $110 - $150 = $-70.

This means the balance of the account at the end of the week would be -$70.

The scale factor for the area of the pre-image to get the image is 2.

Suppose a figure (pre image) is dilated (dilated image) by scale factor of k. So, if a side of the figure is of length L units, and that of its similar figure is of M units, then:

L = k × M

where 'k' will be called as scale factor.

The linear things grow linearly like length, height etc.

The quantities which are squares or multiple of linear things twice grow by square of scale factor. Thus, we need to multiply or divide by k² to get each other corresponding quantity from their similar figures' quantities.

So area of first figure = k² × area of second figure

Given that Parallelogram CALM is multiplied by a scale factor to create Parallelogram C'A'LM'. Parallelogram C'A'L'M' has an area of 485.64 square feet. Also, the area of the parallelogram CALM is 121.41 square feet.
Therefore, we can write,

Final Area / Initial Area = (Scale Factor)²

485.64 square feet / 121.41 square feet =  (Scale Factor)²

4 = (Scale Factor)²

(Scale Factor) = √4

Scale Factor = 2

Hence,  Scale Factor = 2

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The complete question is:

The area of Parallelogram CALM is 121.41 square feet. Parallelogram CALM is multiplied by a scale factor to create Parallelogram C'A'LM'. Parallelogram C'A'L'M' has an area of 485.64 square feet. What is the scale factor for the area of the pre-image to get the image?

The parabola's shape is influenced by the separation between its focus and vertex. The parabola becomes wider as the vertex is focused further away (flatter).

A parabola is a plane curve created when a point moves in such a way that the distance it travels from a fixed point to a fixed line. The parabola's directrix serves as the fixed line, while the focus, represented by the letter F, serves as the fixed point. The line through the F and perpendicular to the directrix is the parabola's axis.

2. As illustrated here, the parabola's shape is influenced by the separation between its focus and vertex.

The parabola becomes wider as the vertex is focused further away (flatter).

The parabola becomes thinner as the vertex comes into focus (steeper).

3. If a > 0 in the quadratic equation the parabola opens upward and if a< 0 then the parabola opens downward.

4. The vertex of the parabola is the location where it crosses the axis.

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The probability that a student ordered a hamburger and a Slurpee is Option D) 23 over 137.

Generally, To find the probability that a student ordered a hamburger and a Slurpee, we need to divide the number of students who ordered a hamburger and a Slurpee by the total number of students.

From the table, we can see that 23 students ordered a salad and a water.

There were a total of 38 + 12 + 14 + 18 + 28 + 7 + 23 = 137 students in the cafeteria.

Therefore, the probability that a student ordered a salad and a water is 23/137, or about 0.17.

Therefore, the correct answer is d) 23 over 137.

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Answer: Neither (look at the image for the solution)

Step-by-step explanation:

Answer: parallel

Step-by-step explanation:

look at the lines and u can see two lines so parallel