7 pairs of stockings cost as much as 3 T-shirts, and a trousers as much as 1 T-shirt and 2 pairs of stockings. How many trousers can be bought with the amount that represents the equivalent of 26 T-shirts? How many pairs of stockings can be bought with an amount equal to the price of 10 T-shirts and 11 trousers?.​

Answer:

$54.87

Step-by-step explanation:

The area of the triangular garden is (1/2) x base x height = (1/2) x 6 x 5 = 15 square feet.

The area of the rectangular mulch area is base x height = 12 x 9 = 108 square feet.

The total area to be covered with mulch is 108 - 15 = 93 square feet.

The cost of the mulch is $0.59 per square foot, so the total cost is 93 x $0.59 = $54.87.

Therefore, the total cost of the mulch will be $54.87.

The garden club is planting fruit trees in their school's garden, and they have two types of trees: one large tree that needs a lot of fertilizer and several newly planted trees that need a much smaller amount of fertilizer. The large tree requires 5 pounds of fertilizer.

which is a significant amount compared to the smaller trees, which only need 0.5 pounds of fertilizer each.

The reason for the difference in fertilizer requirements is due to the size and age of the trees. The large tree is likely fully grown and mature, and therefore requires a substantial amount of fertilizer to support its growth and fruit production. The younger and smaller newly planted trees, on the other hand, need much less fertilizer since they are still growing and developing.

Providing the proper amount of fertilizer is crucial to ensuring healthy tree growth and fruit production, which is why the garden club is treating the larger tree differently than the smaller ones. By giving each tree the proper amount of fertilizer necessary for their growth stage, the garden club is helping ensure the success of their fruit tree planting project and ultimately helping to contribute to the schools' educational and environmental goals.

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The expression that does not represent the same function as y = 2x + 4 is B, which is y = 2x - 4.

A. y = 2(x + 2)

With x = 1, we obtain y = 2(1 + 2) = 6.

The resultant value of y is 6, which corresponds to the value of y when x = 1 for the formula y = 2x + 4. As a result, y = 2x + 4 is represented by the same function as this expression.

B. y = 2x - 4

With x = 1, we obtain y = 2(1) - 4 = -2.

When y = 2x + 4 and x = 1, the value of y obtained is -2, which is not identical to the value of y when x = 1. The function represented by this statement is therefore distinct from that of y = 2x + 4.

C. y = 2(x + 4) - 8

With x = 1, we obtain y = 2(1 + 4) - 8 = 2.

The obtained value of y is 2, which differs from the value of y when

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The value of the expression 2/125x1013 + 2/27x1013 is 91.248.

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

The expression will be Illustrated as:

2/125x1013 + 2/27x1013

= (0.016 × 1013) + (0.0740741 × 1013)

= 16.208 + 75.04

= 91.248

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Complete question

2/125x1013 + 2/27x1013

Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)

Answer:

A: The total number of students is greater than 140.

C: (10)(14) = 140, so 100(14) = 1,400 students.

F: The percent as a part to whole ratio is 140 Over 100

Step-by-step explanation:

Answer:

A,C,F

Step-by-step explanation:

BECAUSE IT CAN BE

Since the point negative 4.5 (-4.5) is labeled on this number line representing temperature change, the absolute value of the point labeled in the image means that: B. the temperature equals 4.5 degrees.

In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).

In conclusion, the absolute value of a number is always positive and it can be used for describing the distance of a number from zero (0) on the number line, without taking its direction into consideration.

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Answer:

Step-by-step explanation:

A) Commission = 2450 shillings * 25 % = 2450 shillings * (25/100) = 2450 shillings * (0.25) = 612.50 shillings

Commission = 612.50 shillings

B) If the total sale is 2,450.00 shillings, after the seller gives buyers a 2% discount. We must re-enter the discount:

2,450.00 shillings = X - X * 2% = X - 0.02 X --->

------> 0.98 X = 2,450.00 shillings

------>X= 2,450.00 / 0.98

------> X = 2,500.00  shillings

NEW COMMISSION = 2,500.00 shillings * 25 % = 2,500.00 shillings *(25/100) =2,500.00 shillings * (0.25) = 625 shillings

NEW COMMISSION = 625 shillings

The value of the ratio g(24)/g(21) is 729, and other solutions are shown below

The domain and the range of h(n)

Given that

h(n) is the number of houses

The possible values of n and h(n) are whole numbers

So, we have

The values of h(5) and h(11)

Based on the patterns in the sequence, we have

h(n) = n

So, we have

h(5) = 5

h(11) = 11

The explicit function of h(n)

In (b), we have

h(n) = n

The values of s(4) and s(7)

Given that

s(n) is the number of segments

Based on the patterns in the sequence, we have

s(n) = 2n

So, we have

s(4) = 8

s(7) = 14

The growth pattern of s(n)

Above, we have

s(n) = 2n

The above equation is a proportional equation

This means that

The growth pattern of s(n) is linear, with a constant rate of change

The explicit function of s(n)

Above, we have

s(n) = 2n

Complete the table for f(5) and f(7)

From the table, we can see that

As n increases, the value of f(n) is divided by 2 to get the next term

So, we have

f(5) = 2/2 = 1

f(7) = 1/2/2 = 1/4

The domain of f(n)

The possible values of n are real numbers

So, we have

Domain: All set of real numbers

The observation of the function

Above, we have

As n increases, the value of f(n) is divided by 2 to get the next term

This means that

As n gets larger and larger, the value of f(n) get halved

The value of g(4)

From the question, we have

First term, a = 9

Common ratio, r = 2

This means that

g(n) = 2(9)^n-1

So, we have

g(4) = 2(9)^3

g(4) = 1458

Completing the statements

Based on the function definitions, the statements when completed are

Recall that

g(n) = 2(9)^n-1

So, we have

g(24) = 2(9)^23

g(21) = 2(9)^20

Divide the equations

g(24) = 2(9)^23

-------     ----------

g(21) = 2(9)^20

Evaluate

g(24)/g(21) = 729

Hence, the value of the ratio is 729

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Answer:

200

Step-by-step explanation:

\(\frac{2}{5}\) = \(\frac{80}{x}\)

2 x 40 = 80, so

5 x 40 = 200

Answer:

200 houses

Step-by-step explanation:

Flat: 2 parts = 80 flats
1 part => 80 : 2 = 40 flats
Houses: 5 parts = 40 x 5 = 200 houses

Answer:

27

Step-by-step explanation:

4^3 is 4*4*4 which is 64

3/4^3 is 3/4*3/4*3/4 which is 27/64

then divide 64 ÷ 27/64

you can cross cancel 64 and get 27.

Answer:

$7.00

Step-by-step explanation:

there is a total of $35,000 worth of prizes being given out for 5,000 tickets.  We can find the expected value for each ticket by dividing 35,000/5,000.  This equals $7.00.

The correct equation is

Expected value for a ticket = 29980 (1/5000) + 80 x 5(5/5000) - 20(4994/5000)

A charity event is any gathering whose main goal is to raise money for a nonprofit, cause, or organisation.

We have,

Car is the gift offered and the car is worth 30000

Tickets sold = 5000

Out of 500 tickets, one ticket would fetch the car worth 30000 dollars and five gift cards will bring 100 dollars

So, the Expected value for a ticket

= 29980 (1/5000) + 80 x 5(5/5000) - 20(4994/5000)

=5.996+0.4-19.976

=-13.58

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Answer:

The first part is 5

The maximum it can be is 200

Step-by-step explanation:

Because I said So

Sofie will not make a profit if she sells her scarves for $5 or less.

The maximum profit Sofie can make is $200.

A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line.

According to the given problem,

y = (x - 5)(50 - 2x)

⇒ y + (-(x - 5)(50 - 2x) = (x - 5)(50 - 2x) + (-(x - 5)(50 - 2x)

⇒ y - (x - 5)(50 - 2x) = (x - 5)(50 - 2x) - (x - 5)(50 - 2x)

⇒ y - (x - 5)(-2x + 50) = 0

⇒ y - (-x *2x + x*50 + 5*2x -5*50) = 0

⇒ y - ( -2x² + 50x + 10x - 250) = 0

⇒ y - ( - 2x² + 60x - 250 ) = 0

⇒ y + 2x² - 60x + 250 = 0

⇒ 2x² -60x + y + 250 = 0

⇒ ( 2x² - 60x ) + y + 250 = 0

⇒ 2 ( x² - \(\frac{60}{2}\)x) + y + 250 = 0

⇒ 2 ( x² - \(\frac{2^{2} *3*5}{2}\)x) + y + 250 = 0

⇒ 2 ( x² - 30x ) + y + 250 = 0

⇒ 2( x² + 2(-15)x + 225 -225 +y + 250 = 0

⇒ 2( x - 15 )² + 2(-225) + y + 250 = 0

⇒ 2( x - 15 )² + y = -2(-225) - 250

⇒ 2( x - 15 )² + y = 450 - 250

⇒ 2( x - 15 )² + y = 200

⇒ y = -2( x - 15 )² + 200

This equation is in the form of y =  a(x - h)² + k where the vertex of the parabola is (h , k).

Therefore the vertex of the parabola is at (15 , 200)

Hence, we can conclude that Sofie will maximum profit of $200 if she sells a scarf at 15$ and will make the least profit if she sells the scarf at $5 or less.

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Answer:

Step-by-step explanation:

Exchange rates are the rates at which one currency can be exchanged for another currency. They represent the value of one currency relative to another currency.

Answer:

1.790109879E17 hahahahaha

Step-by-step explanation:

Answer:

1.7901099e+17 = 18.7901099

MWHAHAHAHA

The equation y=5/4x i.e., option (C) models the time Bobby spends on building birdhouses.

GIVEN:

x is the time bobby spends building birdhouses

y is the number of birdhouses he builds

STEPS:

If Bobby builds 5 houses in 4 hours then,

In 1 hour he builds 5/4 houses

⇒In x hours no.of houses = (5/4)x

∴equation model for the time taken to build birdhouses is y=(5/4)x

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Answer: -1 Is the answer.

Answer:

difference is -3

Step-by-step explanation:

Answer:

Mean = 59.1, Median = 61

(there might have been a mistake in calculation (a lot of numbers!))

Step-by-step explanation:

The sample size is 40,

Now, the formula for the mean is,

Mean = (sum of the sample values)/(sample size)

so we get,

\(Mean = (49+63+78+22+41+39+75+61+63+65+58+37+45+52+81+75+78+72+68+59+72+85+63+61+75+39+41+48+59+55+61+25+61+52+58+71+75+82+49+51)/40\\Mean = 2364/40\\Mean = 59.1\)

To find the median, we have to sort the list in ascending (or descending)order,

we get the list,

22,25,37,39,39,41,41,45,48,49,

49,51,52, 52,55,58, 58, 59, 59, 61,

61, 61, 61, 63, 63, 63, 65, 68, 71, 72,

72, 75, 75, 75, 75, 78, 78, 81, 82, 85

Now, we have to find the median,

since there are 40 values, we divide by 2 to get, 40/2 = 20

now, to find the median, we takethe average of the values above and below this value,

\(Median = ((n/2+1)th \ value + (n/2)th \ value )/2\\where, \ the\ (n/2)th \ value \ is,\\n/2 = (total \ number \ of \ samples) /2\\n/2=40/2\\(n/2)th = 20\\Hence\ the (n/2)th \ value \ is \ the \ 20th \ value\)

And the (n+1)th value is the 21st value

Now,

The ((n/2)+1)th value is 61 and the nth value is 61, so the median is,

Median = (61+61)/2

Median = 61

The distance between the point (5,12) and the line y = 5x + 12 is 4.90 units

If a point P with the coordinates (x₁, y₁), and we need to know its distance from the line represented by ax + by + c = 0

Then the distance of a point from the line is given by the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

Given: the point (5,12) and the line y = 5x + 12. The line can be written as

5x-y+12 = 0. Thus:

x₁ = 5, y₁ = 12, a = 5, b = -1, c = 12. Substitute these into the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

d = (5×5 + (-1×12) + 12) / √(5² + (-1)²)

d = 25/√26 = 4.90 units

Therefore, the distance between the point and the line is 4.90 units. Option D is the answer

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Answer:

1/6

Step-by-step explanation:

Derivative Limit Def.

\( \displaystyle \large{ f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h} }\)

We are given the function;

\( \displaystyle \large{f(x) = \sqrt{x + 2} }\)

Therefore:

\( \displaystyle \large{f(x + h) = \sqrt{x + h + 2} }\)

Substitute x = 7, f(x) and f(x+h) in.

\( \displaystyle \large{ f'(x) = \lim_{h \to 0} \frac{ \sqrt{x + h + 2} - \sqrt{x + 2} }{h} } \\ \displaystyle \large{f'(7) = \lim_{h \to 0} \frac{ \sqrt{7 + h + 2} - \sqrt{7 + 2} }{h} } \\ \displaystyle \large{ \lim_{h \to 0} \frac{ \sqrt{9 + h } - \sqrt{9} }{h} } \\ \displaystyle \large{ \lim_{h \to 0} \frac{ \sqrt{9 + h } - 3 }{h} } \\ \)

Multiply both numerator and denominator by √(9+h)+3

\( \displaystyle \large{ \lim_{h \to 0} \frac{ (\sqrt{9 + h } - 3)( \sqrt{9 + h} + 3) }{h( \sqrt{9 + h} + 3)} } \\ \displaystyle \large{ \lim_{h \to 0} \frac{ 9 + h - 9}{h( \sqrt{9 + h} + 3)} } \\ \displaystyle \large{ \lim_{h \to 0} \frac{ h}{h( \sqrt{9 + h} + 3)} } \\ \displaystyle \large{ \lim_{h \to 0} \frac{ 1}{ \sqrt{9 + h} + 3} } \\ \)

Substitute h= 0 in.

\( \displaystyle \large{ \lim_{h \to 0} \frac{ 1}{ \sqrt{9 + 0} + 3} } \\ \displaystyle \large{ \lim_{h \to 0} \frac{ 1}{ \sqrt{9} + 3} } \\ \displaystyle \large{ \lim_{h \to 0} \frac{ 1}{ 3+ 3} } \\ \displaystyle \large{ \lim_{h \to 0} \frac{ 1}{ 6} }\\ \displaystyle \large \boxed{ \frac{1}{6} }\)

Answer:

Step-by-step explanation:

Triangle area formula: 1/2bh

Then use the Pythagorean theorem to find out what AB is.

AB= sqrt 76

8.72

8.72*18*1/2

78.5 approx

The length of the side of the square is given as follows:

20 cm.

In the figure, there are two expressions used to give the side length to each square, as follows:

In a square, all the four side lengths have the same length, hence the value of x is obtained as follows:

6x - 1 = 4x + 6

2x = 7

x = 3.5 cm.

Then the side length of the square is obtained as follows:

6(3.5) - 1 = 20 cm.

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Is true.

wksnsksndksndks

Answer:

9.825 rounded to nearest 5-9.82500

10-9.8

100-9.83

1,000-9.825

Step-by-step explanation:

You can also look up a rounding calculator if you need more help :)

To construct a frequency histogram based on the given temperature data, we will use the temperature ranges as the x-axis and the number of days as the y-axis.

The temperature ranges and their corresponding frequencies are as follows:

30-39: 2 days

40-49: 26 days

50-59: 28 days

60-69: 8 days

70-79: 2 days

To create the histogram, we will represent each temperature range as a bar and the height of each bar will correspond to the frequency of days.

Using an appropriate scale, we can label the x-axis with the temperature ranges (30-39, 40-49, 50-59, 60-69, 70-79) and the y-axis with the frequency values.

Now, we can draw rectangles (bars) on the graph, with the base of each rectangle corresponding to the temperature range and the height representing the frequency of days. The height of each bar will be determined by the corresponding frequency value.

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Answer:

The perimeter is 24 in2

Step-by-step explanation:

You have to add up all of the sides together

Answer:

the answer 24

Step-by-step explanation:

P= 10+6+8=24 in

because perimeter is just adding

By ratios ,orange = 15 , apple = 10 , coconut = 20 are needed to make 45 liters of this cocktail.

What does the math ratio mean?

When b does not equal 0, an ordered pair of numbers a and b, represented as a / b, is said to be a ratio. A proportion is an equation that sets two ratios at the same value.

                   As an illustration, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls)

orange = 3

apple = 2

coconut = 4

total = 9

orange =  3/9  * 45  = 15

 apple = 2/9  *  45  = 10

coconut = 4/9  * 45  = 20

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The complete question is -

In a fruit cocktail, the ratio of orange juice to apple juice to coconut milk is 3:2:4, respectively. How much of each type is needed to make 45 liters of this cocktail?