Multiply. Write the answer in simplest form.
1/2 x 3/5 x 4/9

Answer

4

Step-by-step explanation:

Add 9 to 11, then divide that by 5.

Answer:

4

Step-by-step explanation:

work backwards 11+9 is 20. Divide 20 by 5 = 4

Answer: 25(11)=275 which is the price of the 11 bought at the door

Answer:

$2448

Step-by-step explanation:

15% of 3200 will be 2720.  to find 10% of 2720, you can multiply 2720 by 0.1, which is the decimal equivalent of 10%, and get the  answer, 272. Now we miss subtract this from the original number to find the further staff discount.

2720 - 272 = 2448

The TV price with both discounts will be 2448

Answer:

1

Step-by-step explanation:

1.  One way to do this is converting both into improper fractions.  To do this, multiply the whole number by the denominator and add that to the numerator.

2 3/5 --> 2*5 is 10 --> 10+3 is 13.  --> 13/5

2.  This leaves us with 13/5 - 8/5

3.  Subtract the numerators

13/5 - 8/5 = 5/5

4.  Simplify.  If the numerator is the same number as the denominator, it's a whole number.

5/5 = 1

Answer:

10.4

Step-by-step explanation:

√(5--5)²+(0-3)²

√100+9

√109=10.4

Answer:

i think the answer is

\(f(x) = \\ - \frac{45x {}^{2} }{(1 + x {}^{3}) {}^{2} }\)

The equation which correctly represents the given situation as required to be determined is; Choice C; w = 5 × 15.

It follows from the task content that the equation which correctly represents the Given situation is to be determined.

Since the intention is to buy 5 tickets in which case; each ticket costs 15 dollars; we have that;

Since the total amount of dollars they have is w dollars; The equation which holds true for the situation is; w = 5 × 15.

Consequently, answer choice C; w = 5 × 15 is correct.

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The growth rate of the population, given the initial population and the population after 10 years is 12. 5 % every 10 years.

To find the percent change or growth rate of a quantity between two different values, you can use the formula:

Percent change = ( new value - old value ) / old value x 100%

The new value would be the population of the village after 10 years which is 450 people.

The old value is the initial population of the village which is 400

The growth rate of the population is:
= ( 450 - 400 ) / 400 x 100 %

= 12. 5 %

The growth rate for the village is therefore 12. 5 % every ten years.

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Answer: A 4(7+3)

Step-by-step explanation:

Distribute 4(7+3)= (4x7)+(4x3)= 28+12

\((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)

We can use the rules of exponents and simplify the terms with the same base.

Dividing the coefficients: 21 / 7 = 3.

For the variables, you subtract the exponents: \(a^6 / a^3 = a^(^6^-^3^) = a^3.\)

Similarly,\(b^5 / b = b^(5-1) = b^4\).

Putting it all together, the simplified expression is:

\(3a^3b^4.\)

Therefore, \((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)

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An order-preserving function is one where x < y implies f(x) < f(y). An isomorphism is a one-to-one order-preserving function between two partially ordered sets, while an automorphism is an isomorphism of a set to itself.

In the given excerpt, it explains the concepts of order-preserving functions, isomorphisms, and automorphisms in the context of partially ordered sets.

Order-Preserving Function:

A function f: P -> Q, where P and Q are partially ordered sets, is said to be order-preserving if for any elements x and y in P, if x < y, then f(x) < f(y). In other words, the function preserves the order relation between elements in P when mapped to elements in Q.

Increasing Function:

If P and Q are linearly ordered sets, then an order-preserving function is also referred to as an increasing function. It means that for any elements x and y in P, if x < y, then f(x) < f(y).

Isomorphism:

A one-to-one function f: P -> Q is called an isomorphism of P and Q if it satisfies two conditions:

a. f is order-preserving: For any elements x and y in P, if x < y, then f(x) < f(y).

b. f is onto (surjective): Every element in Q has a pre-image in P.

When an isomorphism exists between (P, <) and (Q, <), it means that the two partially ordered sets have a structure that is preserved under the isomorphism. In other words, they have the same ordering relationships.

Automorphism:

An automorphism of a partially ordered set (P, <) is an isomorphism from P to itself. It means that the function f: P -> P is both order-preserving and bijective (one-to-one and onto). Essentially, an automorphism preserves the structure and order relationships within the same partially ordered set.

These concepts are fundamental in understanding the relationships and mappings between partially ordered sets, particularly in terms of preserving order, finding correspondences, and exploring the symmetry within a set.

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Answer:

Least no of packs = 120

Step-by-step explanation:

Given that,

Plastic plates come in packs of 8, plastic utensils come in packs of 12, and plastic cups come in packs of 20.

We need to find least numbers of packs you should buy in order to have the same number of plates, utensils, and cups.

It means we need to find the LCM of 8,12,20

Prime factorisation of 8 = 2×2×2

Prime factorisation of 12 = 2×3×2

Prime factorisation of 20=2×5×2

LCM = 120

Hence, there are 120 least number of packs you should buy in order to have the same number of plates, utensils, and cups

The value of x in the composite figure below is 22 ft.

Area is the space occupied by a 2 dimensional figure. Therefore, the composite figure can be divide into a triangle and a rectangle.

Area = area of triangle + area of rectangle

Therefore,

area of triangle = 1/2 · b · h

Where

Therefore,

\(\text{Area of triangle} = \sf \dfrac{1}{2} \times 15 \times (34 - x) = 7.5(34 - x)\)

\(\text{Area of rectangle} \sf = 40 \times x = 40x\)

Therefore,

\(\text{Area} = \sf 7.5(34 - x) + 40x\)

\(\sf 970 = 255 - 7.5x + 40x\)

\(\sf 970 - 255 = 32.5x\)

\(\sf x = \dfrac{715}{32.5}\)

\(\bold{x = 22 \ ft}\)

Hence, the value of x in the composite figure below is 22 ft.

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Answer:14 i think

Step-by-step explanation:

you have 2 possibilitys first one is 13 and the second one is 14 but im going to go with 14

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

Work Shown:

Draw a vertical line through point C. This vertical line crosses line segment ED to form point F. I've shown this point in blue. Refer to the diagram below.

Focus on the triangle CFD. This is a right triangle with the 90 degree angle at point F.

Triangle CFD has the vertical red portion equal to 12 units, since segment EB is 12 units (note how quadrilateral BCFE is a rectangle).

Segment FD is ED-BC = 17-10 = 7 units long.

Let's apply the pythagorean theorem to find the hypotenuse CD

a^2 + b^2 = c^2

(CF)^2 + (FD)^2 = (CD)^2

(12)^2 + (7)^2 = (CD)^2

144 + 49 = (CD)^2

193 = (CD)^2

(CD)^2 = 193

CD = sqrt(193)

CD = 13.8924439894499 approximately

CD = 14

When rounding to the nearest whole number, segment CD is approximately 14 units long.

Answer:

-78-(-34)+(-14)

Step-by-step explanation:

-78+(+34)+(-14)

-78-14

-92+34

-58

And thats the answer needed there for it would be the last expression.

The completed table of values for the equation 4x + 2y = 64 is provided .

To complete the table of values for the equation 4x + 2y = 64, we can assign different values to x and solve for y. Let's choose a range of values for x and calculate the corresponding values of y.

Table of Values:

x y

0 32

4 28

8 24

12 20

16 16

20 12

24 8

28 4

32 0

To find the values of y, we substitute each x-value into the equation and solve for y. For example, when x is 0, we have 4(0) + 2y = 64, which simplifies to 2y = 64 and y = 32. Similarly, for x = 4, we have \(4(4) + 2y = 64\), which simplifies to \(16 + 2y = 64\) and\(y = 28.\)

By continuing this process for the remaining values of x, we can complete the table of values for the equation 4\(x + 2y = 64.\)

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Answer: 1:55 PM

Step-by-step explanation:

Turn 4:15 to 24-hr clock system which is 1615hrs

16:15 - 02:20 = 1355hrs

Based on the information provided, it is expected that after 18 months, the difference in the cost of the two plants is 240.

By following the sequence provided on the table, let's calculate the cost for each plant:

Plant A: 75, 110, 145, 180, 215, 250, 285, 320, 355, 390, 425, 460, 495, 530, 565, 600, 635, 670.

Plant B: 60, 110, 160, 210, 260, 310, 360, 410, 460, 510, 560, 610, 660, 710, 760, 810. 860, 910

Now, let's calculate the difference in cost:

910 - 670 = 240

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Set up equations for each gym.

multiply daily cost by number of days(x) and add the fee:

Muscle max: 2x + 30

Capital: 4x + 10

Now set them

Equal to each other and solve for x:

2x + 30 = 4x + 10

Subtract 2x from both sides :

30 = 2x + 10

Subtract 10 from both sides :

20 = 2x

Divide both sides by 2:

X = 10

It will take 10 days

Answer:

4(2×3+3)-2×2

4(9)-4

36-4

32

Answer:

Hi! The correct answer is 32!

Step-by-step explanation:

Simplify the expression.

Answer:

Step-by-step explanation:

next multiply 12 and 35. and get 420

finally subtract the two and get 345

Step-by-step explanation:

OUT of  35 spins   4 + 15 + 3  = 22   were blue or green or purple

 22/35 probability  = 63%

Answer:

First Answer = 2/13

Second Answer = 4/13

Step-by-step explanation:

1. There are 52 cards in a standard deck. There is also a total of 4 jacks and 4 queens of these 52 cards. So, the probability of drawing either a jack or a queen after one pick would be 8/52 = 2/13.

2. There are 4 jacks, and 13 spades. However, one of those jacks is a jack of spades. So, instead of 17 possible picks, one overlaps, resulting in 16 possible picks. This is represented by 16/52 = 4/13.

The probability of drawing either a jack or a queen is 2/13 or 15.38%. In turn, the probability of drawing either a jack or a spade is 15/52 or 28.84%

Since Jenelle draws one card from a standard deck of 52 cards, to determine the probability of drawing either a jack or a queen, and to determine the probability of drawing either a jack or a spade, the following calculations must be performed:

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Answer:

17

Step-by-step explanation:

85/5=17

Answer:

\(\boxed {\boxed {\sf 136}}\)

Step-by-step explanation:

The quadratic formula helps us find the roots of a quadratic equation. The equation is:

\(\begin{array}{*{20}c} {x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}} } \\ \end{array}\)

where \(ax^2+bx+c=0\)

The discriminant is just the part under the square root. This helps tell us if there are two, one, or zero real solutions.

The discriminant is:

\(b^2-4ac\)

We are given the quadratic: \(9x^2-8x-2=0\)

Therefore, a is 9, b is -8, and c is -2.

\(a=9 \\ b= -8 \\c= -2\\\)

\((-8)^2-[4(9)(-2)]\)

Solve the exponent.

\(64-[4(9)(-2)]\)

Multiply 4, 9, and -2.

\(64-(-72) = 64+72 \\=136\)

The discriminant is 136. Since it is a non-zero, positive number, this quadratic has 2 real solutions/zeroes/roots.

The three consecutive multiples of 3 are 15, 18 and 21

First, let's determine three successive multiples of 3:

The subsequent two would be "x+3" and "x+6" if we call the initial number "x".

Since we are aware that the third number (x+6) is one more than the first two numbers (x + x+3), we can write the following equation:

2/3(x + x+3) = (x+6) + 1

Simplifying this equation, we get:

2/3(2x+3) = x+7

Multiplying both sides by 3, we get:

2(2x+3) = 3(x+7)

Expanding and simplifying, we get:

4x + 6 = 3x + 21

Subtracting 3x and 6 from both sides, we get:

x = 15

Therefore, the three consecutive multiples of 3 are 15, 18 and 21

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Using arithmetic operation, the total weight of 15 boxes of Cremora is obtained as 5.625 kilograms.

What is arithmetic operation?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

Use the arithmetic operation of division.

If 1 box of Cremora measures 375 grams, then convert that to kilograms by dividing by 1000 -

375 grams = 0.375 kilograms

So, each box of Cremora weighs 0.375 kilograms.

Use the arithmetic operation of multiplication.

To find the total weight of 15 boxes of Cremora, multiply this weight by the number of boxes -

Total weight = 15 boxes x 0.375 kilograms per box

Total weight = 5.625 kilograms

Therefore, the total weight of 15 boxes of Cremora is 5.625 kilograms.

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Determine the total number of kilograms from 15boxes of Cremora. 1 box of Cremora measures 375 grams.

Answer:

Question 1: The appropriate measures of center for this data set would be (1) Mean and (2) Median. There is no mode in this data set as there are no repeating values.

Question 2: To find the standard deviation, we first need to find the mean:

Mean = (513 + 490 + 496 + 380 + 490 + 513 + 503 + 513 + 500 + 492) / 10 = 494.0

Next, we find the difference between each data point and the mean:

(513 - 494.0), (490 - 494.0), (496 - 494.0), (380 - 494.0), (490 - 494.0), (513 - 494.0), (503 - 494.0), (513 - 494.0), (500 - 494.0), (492 - 494.0)

19, -4, 2, -114, -4, 19, 9, 19, 6, -2

Then we square each difference:

361, 16, 4, 12996, 16, 361, 81, 361, 36, 4

The sum of these squared differences is:

361 + 16 + 4 + 12996 + 16 + 361 + 81 + 361 + 36 + 4 = 14136

To find the variance, we divide the sum of squared differences by the number of data points minus one:

Variance = 14136 / 9 = 1570.7

Finally, we find the standard deviation by taking the square root of the variance:

Standard deviation = √1570.7 ≈ 39.6 (rounded to the tenths place)

Step-by-step explanation:

Answer:

−5.44

Step-by-step explanation:

−7.94 + 2.5

Calculate

−5.44