PLEASE HELP ME DO THISS♥️♥️♥️♥️​

Answer:

Yes, Sally has enough money to buy 28 cans of soda.

Step-by-step explanation:

Yes, because £10 = 1000p

1000p / 28p = 35 cans

35 cans < 28 cans

So Sally has enough money for 28 cans.

Translate the sentence into an inequality.



The sum of a number times 10 and 26 is at least -16.



Use the variable w for the unknown number.​

In this problem

at least means -----> greater than or equal to

so

Answer:

60

Step-by-step explanation:

edge

Option b. 5. The number 125 can be written as 6 times 20 plus 5. Therefore, when x is 125, the expression "x % 6" evaluates to 5.

The adage "x % 6" signifies the rest of x is separated by 6. At the point when x is 125, the rest of 125 is partitioned by 6 can be found by playing out the accompanying whole number division:

125 ÷ 6 = 20 remaining portion 5

This implies that 125 can be composed as multiple times 20 in addition to 5. Consequently, when x is 125, the adage "x % 6" assesses to 5.

So the response is (b) 5.

At the point when we utilize the modulo administrator (%) to track down the rest of x partitioned by 6, the maxim "x % 6" assesses to 5 when x is 125. This is on the grounds that when 125 is separated by 6, the remainder is 20 with a rest of 5. At the end of the day, 125 is equivalent to multiple times 20 in addition to 5. Accordingly, the rest of 125 is partitioned by 6 is 5, and that is the aftereffect of the adage "x % 6" when x is 125.

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Answer:

2h 30min

Step-by-step explanation:

130km ÷ 52km/h = 2.5h

                            = 2h 30min

After exchanging all the $100 bills, the cashier will receive 250 $10 bills. To determine the number of $10 bills the cashier receives after exchanging all the $100 bills, we can follow these steps.

Since $2,500 consists of 100 $100 bills, we need to calculate how many $10 bills are equivalent to $2,500.

1. Calculate the total value of $100 bills: $2,500.

2. Divide the total value by the value of each $10 bill: $2,500 / $10 = 250.

3. The result is 250, which means the cashier will receive 250 $10 bills.

Therefore, after exchanging all the $100 bills, the cashier will receive 250 $10 bills.

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Answer:

V = 108

Step-by-step explanation:

B = 9 x 4 = 36 Height of Triangular prism is 3 so 36 x 3 = 108

A=16x²-8x+1

16x²-8x+1=l²

(16x²-4x)-(4x+1)=l²

4x(4x-1)-1(4x-1)=l²

x=1/4 or 1

Therefore

since x=1/4

l²=1/4=>l=>√(1/4)

l=1/2

since x=1

l²=1=>l=>√1

l=1

Therefore the length of each sides

1 or 1/2

Answer:

Step-by-step explanation:

Area of the triangle

A = b*h/2

b = 18

h = 15

Area = 18*15/2

Area = 135

Area of Parallelogram

A = b * h

b = 18

h = 15

Area =  18 * 15

Area = 270

Note: The parallelogram = 2 * Area of Triangle.

Answer:

Area of Triangle

= 135 sq cm

Area of Shaded

= 135 sq cm

Step-by-step explanation:

There is a parallelogram here and a triangle both have the same base and height.

Area (triangle)=1/2bh

Area (parallelogram)

=bh

Subtract to find the shaded region.

Area (parallelogram)

= 18 × 15

= 270

Area(triangle)

= 1/2 × 18 × 15

= 135

Area(shaded)

= 270 - 135

= 135

The shaded area is 135 square cm

The area of the circle, as a function of x, will be:

A(x) = 3.14*(3ft + 2x)²

We know that for a circle of radius R, the area is:

A = pi*R²

Where pi = 3.14

In this case we have a circular plot of land with a diameter of 6ft, then the radius (half of that) is:

R = 6ft/2 = 3ft

And then we have a walkway with a width of 2x, then the radius of the circle that includes the walkway is:

R' = 3ft + 2x

Replacing that in the area equation we will get:

A(x) = 3.14*(3ft + 2x)²

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Answer:

y= 1/7x-6

Step-by-step explanation:

that is the answer in slope intercept form

Answer:

x<-5

Step-by-step explanation:

Subtract 15 from both sides, divide both sides by 5

Answer:

if x = (-3)  then -10 is less

Step-by-step explanation:

The entropy of the event for A. H = -((1/18) * log(1/18) + (17/18) * log(17/18)) and B. H = -((7/36) * log(7/36) + (29/36) * log(29/36)). By subtracting the entropy of event (b) from the entropy of event (a), we can determine the specific value of the information gained in this case.

To calculate the entropy of an event, we need to determine the probability distribution of the outcomes and apply the entropy formula.

(a) To find the entropy of getting a total greater than 10 in one throw, we analyze the possible outcomes. The only way to achieve a total greater than 10 is by rolling a 5 and a 6 or a 6 and a 5.

There are only two favourable outcomes out of 36 possible outcomes (6 choices for the first die multiplied by 6 choices for the second die). The probability of obtaining a total greater than 10 is 2/36 or 1/18.

Using the entropy formula, H = -Σ(p_i * log(p_i)), where p_i represents the probability of each outcome, the entropy of this event is:

H = -((1/18) * log(1/18) + (17/18) * log(17/18)).

(b) To find the entropy of getting a total equal to 6 in one throw, we analyze the possible outcomes. The combinations that result in a total of 6 are (1, 5), (5, 1), (2, 4), (4, 2), (3, 3), (6, 0), and (0, 6), making a total of 7 favourable outcomes out of 36 possible outcomes. The probability of obtaining a total of 6 is 7/36.

Similarly, using the entropy formula, the entropy of this event is:

H = -((7/36) * log(7/36) + (29/36) * log(29/36)).

The information gained going from state (a) to state (b) is calculated as the difference between the entropies of the two events:

Information Gain = H(a) - H(b).

Therefore, by subtracting the entropy of event (b) from the entropy of event (a), we can determine the specific value of the information gain in this case.

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Answer:

A.  293 dolls each

B.  710 beads

C.  (n+n)/3 >2xy

Step-by-step explanation:

1.  Let A be the number of dolls collected by Gelyn and B the number collected by Geraldine.  

At the start:

 A = 1,178, and

 B = 588

Girlie gets the same number of dolls from both, which we'll say is x.  The situation is then:

Gelyn:  A - x

Geraldine = B - x

Girlie = 2x

After the transfer, we find that A-x = 3(B-x)  [Gelyn had 3 times as many dolls left as Geraldine]

Lets rearrange this last expression:

A-x = 3(B-x)

A-x = 3B-3x

2x=3B-A

Use the values of A and B to find x:

2x=3(588)-(1,178)

2x = 586

x =  293

Gelyn  and Geraldine each gave Girlie 293 dolls.

========

2.  Let A, B, and C stand for the number of beads in Boxes A, B, and C, respectively.  We are told that:

 A + B + C = 4342 [Box A, Box B, and Box C contain 4,342 beads altogether]

and learn that:  

A+18 = B, and  [There are 18 more beads in Box B than Box A]

C = 3B              [There are 3 times as many beads in Box C as in Box B]

How many beads in Box A?

We have three equations.  Lets find a way to substitute so that we can eliminate the unknowns B and C.

Look at:   A + B + C = 4342

If we can rearrange the other equations to express the variables B and C in terms of A, we could solve the problem.

A+18 = B becomes B=A+18  [We can now calculate B from A]

The second, C = 3B, does not have A, but we can use the above expression for B, which will allow C to be expressed as a function of A:

C = 3B

C = 3(A+18)

C = 3A + 64   [We can now calculate C from A]

Use these definitions of B and C in the first equation (substitution):

A + B + C = 4342

A + (A+18) + (3A + 64) = 4342

6A + 82 = 4342

6A = 4260

A = 710   Box A has 710 beads

3.  The sum of x and n divided by 3 more than twice the product of x times y

          (n+n)/3        [The sum of x and n divided by 3]

         >2xy            [more than twice the product of x times y]

Put these together:

    (n+n)/3 >2xy

The figure consists of a rectangle and 2 right triangles, as shown in the diagram below

The areas of a rectangle and a triangle are given by the following formulas

In our case,

Thus,

The total area is 150mm^2

Answer:

x = 14

Step-by-step explanation:

Since, given Pentagons are similar because their measures of internal angles are same. So, their corresponding sides would be in proportion.

\( \frac{x + 4}{x} = \frac{9}{7} \\ \\ \frac{x + 4 - x}{x} = \frac{9 - 7}{7} \\ \frac{4}{x} = \frac{2}{7} \\ \\ \frac{2}{x} = \frac{1}{7} \\ \\ x = 2 \times 7 \\ \\ x = 14\)

Answer:

16

Step-by-step explanation:

Evaluate the function. f(x) = 4x2 + 4x - 4 Find f(3)​

f(3) = 4 x 2 + 4(3) - 4

After this step conduct PEMDAS

f(3) = 4 x 2 + 12 - 4

f(3) = 8 + 12 - 4

f(3) = 20 - 4

f(3) = 16

The average number of beads that the girls have is 63

Let's start by using algebra to represent the given information:

Let b be the number of beads that Sally has.

Then, Kelly has 3/4 times as many beads as Sally, which can be expressed as (3/4)b.

Also, we know that Kelly has 18 more beads than Sally, which can be expressed as (b + 18).

Putting these together, we can write the equation:

(3/4)b = b + 18

Solving for b, we get:

b = 72

So, Sally has 72 beads, and Kelly has (3/4) × 72 = 54 beads.

The average number of beads that the girls have is (72 + 54)/2 = 63 beads

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The answer to the question is (i) the measurement of angles and distances in accordance with specific procedures.

A survey is a method used to gather information about a particular population or sample group. It involves collecting data through various means such as questionnaires, interviews, and observations. The purpose of a survey is to obtain information about a particular topic or issue that can be used for analysis, decision-making, or research purposes.

The items listed in options (ii), (iii), and (iv) all pertain to information that may be included in a land survey, which is a type of survey used to determine the boundaries, size, and characteristics of a piece of land. A professional measurement of a tract of land, the type of improvements best suited for the land, and the total area of the land with its mapped boundaries and elevation are all important pieces of information that may be gathered during a land survey.

On the other hand, the measurement of angles and distances in accordance with specific procedures is not typically part of a survey, as it is more closely related to a surveying technique known as triangulation. Triangulation is a method used to determine the location of a point by measuring angles and distances from fixed points. While similar in name, surveying and triangulation are distinct practices.

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Therefore, the length of each side of the hexagon is 5√2. Hence, the area of the regular hexagon is 150 square units.

Area is a mathematical term that refers to the size of a two-dimensional surface or region. It is typically measured in square units, such as square meters, square feet, or square inches, depending on the system of measurement used. The area of a shape is determined by multiplying its length and width, or by using a specific formula depending on the shape of the object. Knowing the area of an object can be useful in many fields, including architecture, engineering, and mathematics.

Here,

To find the area of the regular hexagon, we need to know the length of its sides. Since the hexagon is regular, all of its sides are congruent. We can find the length of the sides by using the distance formula between two adjacent vertices. Let's find the distance between vertices A and B, which are adjacent vertices of the hexagon:

AB = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(7 - 0)² + (1 - 0)²]

= √(49 + 1)

= √50

= 5√2

To find the area of the hexagon, we can divide it into six equilateral triangles. Each of these triangles has a base of 5√2 and a height of (5√2)/2. The area of one triangle is:

A = (1/2)bh

= (1/2)(5√2)((5√2)/2)

= 25

Therefore, the area of the regular hexagon is:

A = 6A(triangle)

= 6(25)

= 150

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If the slope of a line is 90 over 510, then the line is a straight line passing through the origin, and it has a slope of 90/510.

This can be written as y = (90/510)x, where x is the independent variable and y is the dependent variable.

The equation of the line is y = (90/510)x or y = 0.176x, where 0.176 is the slope of the line.

This means that for every unit increase in x, the value of y increases by 0.176.

To graph this line, we need to plot a few points that lie on the line.

We can choose any two points, but it's best to choose points that are easy to work with.

Let's choose x = 0 and x = 10. When x = 0, y = (90/510)(0) = 0. When x = 10, y = (90/510)(10) = 1.57.

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Answer:

122

Step-by-step explanation:

calculations attached

Answer:

600

Step-by-step explanation:

Answer: $517.50

Step-by-step explanation: 15% of 450 is 67.5

Next 450 + 67.5 = $517.50

Answer:

-3

Step-by-step explanation:

Looking at the graph, f(x)=7 is only true at x=-3 or you can use the equation

f(x)=-x+4 where you plug in 7 for f(x) !!

a) X'Y' + X'Y + XY simplifies to X' + Y.

b) A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the functions:

a) Complement is W' + X' + YZ.

b) Complement is (A' + B + C)(A'B' + C' + A'B).

a) To prove X'Y' + X'Y + XY = X' + Y, we can use Boolean algebra identities:

X'Y' + X'Y + XY

= Y'(X' + X) + XY(Distributive Law)

= Y' + XY(X + X' = 1)

= X' + Y(Commutative Law)

Therefore, X'Y' + X'Y + XY simplifies to X' + Y.

b) To prove A'BC' + ABC' + BC'D = BC', we can simplify the expression using Boolean algebra:

A'BC' + ABC' + BC'D

= BC'(A' + A) + BC'D   (Distributive Law)

= BC' + BC'D(A + A' = 1)

= BC'(BC' + BC'D = BC' + BC'(1) = BC')

Hence, A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the given functions:

a) The complement of WX(Y'Z + YZ') + W'X'(Y' + Z)(Y + Z') is W' + X' + YZ.

b) The complement of (A + B' + C')(A'B' + C)(A + B'C') is (A' + B + C)(A'B' + C' + A'B).

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Area of parallelogram = base x height = 5 x 4 = 20 square meter

Now in feet it is 1m = 3.28084 ft

1 square metre= 10.7639111 square ft

20 square meter = 215.2782221 square ft

To the nearest hundredth it is 215.28ft

The expected value of a ticket in the given lottery game is -$0.60, indicating that, on average, a person can expect to lose $0.60 per ticket.

To calculate the expected value of a ticket, we need to multiply the value of each prize by its respective probability and sum them up.

For the grand prize of $4 million, the probability of winning is 1 divided by the total number of tickets sold, which is 1/3.5 million. Therefore, the contribution to the expected value from the grand prize is (1/3.5 million) * $4 million.

For the second prize of $30, there are 10,000 winners out of 3.5 million tickets sold, giving a probability of 10,000/3.5 million. The contribution from the second prize is (10,000/3.5 million) * $30.

Similarly, for the third prize of $5, there are 50,000 winners out of 3.5 million tickets sold, giving a probability of 50,000/3.5 million. The contribution from the third prize is (50,000/3.5 million) * $5.

To calculate the expected value, we sum up the contributions from each prize and subtract the cost of the ticket, which is $2.

The result is the expected value of -$0.60, indicating an average loss of $0.60 per ticket.

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