7x=33 x= simplify your answer please

18+(3b)t+753(6t+bt+25

The loose sweets are better value, as they cost only £0.0089 per gram, compared to £0.01242 per gram for the pre-packed sweets.

We need to calculate their price per gram.

Price per gram of pre-packed sweets:

120 g of pre-packed sweets cost £1.49

1 g of pre-packed sweets costs £1.49 / 120 = £0.01242 (rounded to 5 decimal places)

Price per gram of loose sweets:

100 g of loose sweets cost £0.89

1 g of loose sweets costs £0.89 / 100 = £0.0089

So, the loose sweets are better value, as they cost only £0.0089 per gram, compared to £0.01242 per gram for the pre-packed sweets.

Learn more about divide here : brainly.com/question/28119824

#SPJ1

Answer:

x > -35

Step-by-step explanation:

When Janet got rid of the 4, she added it to -3 instead of subtracting 4.

So, the next step should look like this:

\(\frac{x}{5}\) > -7

Then, multiply both sides by 5.

x > -35

This is the correct way of solving for x in this inequality.

Answer:

Janet is wrong  answer is x> -35

Step-by-step explanation:

Janet was supposed to subtract 4 from both sides instead she added.

it is supposed to be x/5>-7 then times 5 on both sides

you get x> -35

The vector <-32, 44, 22> is parallel to the line of intersection of the two planes given by the equations 2x - 3y + 5z = 2 and 4x + y - 3z = 7.

To find a vector parallel to the line of intersection of the planes given by the equations 2x - 3y + 5z = 2 and 4x + y - 3z = 7, we first need to find the direction vector of the line of intersection.

We can find the direction vector by taking the cross product of the normal vectors of the two planes. The normal vector of the plane 2x - 3y + 5z = 2 is <2, -3, 5>, and the normal vector of the plane 4x + y - 3z = 7 is <4, 1, -3>. Taking the cross product of these two vectors, we get:

<2, -3, 5> × <4, 1, -3> = <-16, 22, 11>

This vector <-16, 22, 11> is the direction vector of the line of intersection of the two planes.

To find a vector parallel to this line, we can simply multiply the direction vector by a scalar. For example, we can choose a scalar of 2 to get:

2<-16, 22, 11> = <-32, 44, 22>

Therefore, the vector <-32, 44, 22> is parallel to the line of intersection of the two planes given by the equations 2x - 3y + 5z = 2 and 4x + y - 3z = 7.

Learn more about line of intersection here

https://brainly.com/question/31743634

#SPJ11

Soil type, pricing, and availability are three factors that can affect your decision when choosing a ground improvement strategy.

What are they?

Soil type: Different ground improvement techniques are available for different types of soils.

The soil conditions on the construction site determine the appropriate technique for ground improvement.

Costs: The choice of ground improvement technique is also influenced by the cost of the technique. A particular ground improvement method may be effective but may be more expensive than another method.

As a result, the costs of different ground improvement techniques must be weighed against their benefits.

Availability: The availability of a specific ground improvement technique is another factor to consider.

Certain techniques may be unavailable due to a lack of technical expertise or appropriate equipment in the region.

2. Factors that affect soil compaction are as follows:

Water content: The degree of compaction is influenced by the water content of the soil.

Moisture helps the particles move closer together, but too much water results in an increase in volume and a decrease in the density of the soil.

The optimum water content for a specific soil type is used to achieve maximum dry density, which is the density of the soil when it has been completely compacted.

Granularity: The soil particle size distribution affects soil compaction. Soils with small grain sizes compact more closely than soils with large grain sizes.

The smaller grain sizes are packed tightly, reducing the air spaces between them, resulting in a denser soil when compacted.

Type of soil: The type of soil is also crucial in determining how well it will compact.

Clay soils are more readily compacted than sandy soils, and silty soils are more readily compacted than sandy soils.

Dense soils necessitate more effort to compact.

To know more on soil visit:

https://brainly.com/question/31227835

#SPJ11

The selection of ground improvement techniques for an administration building on soft soil is influenced by soil type, construction load, cost, and time constraints. Factors affecting soil compaction for structures include moisture content, soil type, and compaction effort, impacting construction outcomes.

1. Factors influencing the selection of ground improvement techniques for the construction of the new administration building for LIMKOKWING University on soft soil:

a. Soil Type and Properties: The characteristics of the soil, such as its composition, strength, and permeability, play a crucial role in determining the appropriate ground improvement technique. For example, if the soil is highly compressible and weak, techniques like deep soil mixing or stone columns may be preferred to increase its load-bearing capacity.

b. Construction Load and Building Design: The anticipated load and design of the administration building are important factors to consider when selecting ground improvement techniques. The weight and type of structure can influence the choice of technique to ensure stability and prevent settlement or uneven settlement.

c. Cost and Time Constraints: The financial and schedule constraints of the project are also factors to consider. Some ground improvement techniques may be more expensive or time-consuming than others. It is important to balance the cost and time requirements with the desired level of improvement.

2. Factors affecting soil compaction for the construction of highway embankments, earth dams, and other engineering structures:

a. Moisture Content: The moisture content of the soil affects its compaction characteristics. Optimum moisture content needs to be achieved to obtain maximum compaction. Too much moisture can result in a saturated soil that is difficult to compact, while too little moisture can lead to inadequate compaction.

b. Soil Type: Different types of soils have varying compaction characteristics. Cohesive soils, such as clay, require more effort to compact compared to granular soils like sand. The particle size distribution and grain shape of the soil also influence its compaction behavior.

c. Compaction Effort: The amount of compaction effort, typically achieved by using heavy machinery like compactors or rollers, is another crucial factor. The compaction effort needs to be sufficient to achieve the desired level of soil compaction and meet the engineering requirements.

It's important to note that these factors are not exhaustive, and there may be additional factors to consider depending on the specific project and site conditions.

Learn more about time constraints

https://brainly.com/question/31038373

#SPJ11

The samples of size n = 2 that can be drawn from this population is 28

From the question, we have the following parameters that can be used in our computation:

Population, N = 8

Sample, n = 2

The samples of size n = 2 that can be drawn from this population is calculated as

Sample = N!/(n! * (N - n)!)

substitute the known values in the above equation, so, we have the following representation

Sample = 8!/(2! * 6!)

Evaluate

Sample = 28

Hence, the number of samples is 28

Read more about sample size at

https://brainly.com/question/17203075

#SPJ1

Complete question

A finite population consists of 8 elements.

10,10,10,10,10,12,18,40

How many samples of size n = 2 can be drawn this population?

Answer:

[See Below]

Step-by-step explanation:

C.

The solution to this is x ≤ 4.

So then we look at the graphs and choose the correct one.

When the sign is ≤ it's like an arrow whatever way it's pointing it goes that way. In this case it'd go the other way even though the sign is ≤, because the solution is stating 4 is greater then or equal to so it can't be less than 4. And the only option of +4 and higher is C.

The answer is weak negative correlation.

To learn more about correlation refer to:

https://brainly.com/question/4219149

#SPJ1

B) ∅ (empty set); The composition T ∘ S is an empty set (∅) because there are no ordered pairs that satisfy both the conditions of the relations T and S.

To find the composition T ∘ S, we need to determine the set of ordered pairs that satisfy both relations S and T. Let's analyze the definitions of S and T:

S = {(x, y) ∣ x < y}

T = {(x, y) ∣ x > y}

To find T ∘ S, we need to check if there exists an element z such that (x, z) is in T and (z, y) is in S for any (x, y) in the given relations. However, if we observe the definitions of S and T, we can see that there is no common element that satisfies both relations.

For any (x, y) in S, we have x < y, but in T, the relation is defined as x > y. Therefore, there are no elements that satisfy both conditions simultaneously.

As a result, T ∘ S will be an empty set (∅) because there are no ordered pairs that satisfy the composition of the two relations.

The composition T ∘ S is an empty set (∅) because there are no ordered pairs that satisfy both the conditions of the relations T and S.

To know more about set visit:

https://brainly.com/question/13458417

#SPJ11

Answer:

1.25

Step-by-step explanation:

Answer:

Hey there!

Discrete Data is the number of friends you invited to your last birthday party.

Hope this helps :)

Answer:

a) The number of friends you invited to your last party.

Step-by-step explanation:

Let’s take a step back what is discrete, and what continuous?

Discrete

This is the type of data with certain whole numbers not 2.36 only 2 or 3.

Continuous

This is the data being specific like 1.373.

So a)

The is discrete because you can only have like 5 friends not 7.49 friends.

b)

This is continuous because height can be 5.26 feet.

c)

Time is continuous because there can be 4.3739 minutes.

d)

Weight is also continuous it can be 6339.373 pounds.

The inequality represented by the graph attached is y > -3x + 6

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

An inequality is used to show that two numbers or variables are non equal to each other.

The graph attached shows a straight line inequality. It passes through the point (0, 6) and (2, 0). Hence, the straight line has the equation:

y - 6 = [(0 - 6)/(2 - 0)](x - 0)

y - 6 = -3(x)

y = -3x + 6

Based on the dotted line and the shaded region, the inequality is y > -3x + 6

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

How to Cube A Number

To cube a number, just use it in a multiplication 3 times .

A cube root goes the other direction:

3 cubed is 27, so the cube root of 27 is 3

Answer:

x+3

Step-by-step explanation:

1/2 ( 3/5x -8) + 7/4 ( 2/5x +4)

Distribute

3/10 x -4  + 7/10x +7

Combine like terms

10/ 10x +3

x+3

Answer: x+3 Step-by-step explanation:

Step-by-step explanation:

(3x-40) + 7 • (x+10)     10x + 30

—-—-—-———————————————  =  ————————

        10                 10  

Pulling out like terms :  

11.1

Pull out factors like :

10x + 30 = 10 • (x + 3)

Final result :

  x + 3

The statements are not valid syllogisms.

The term syllogism has to do with the reasoning in which a premise must lead to a conclusion. In other words, the conclusion must logically follow from the premise that has been given.

Let us now see if the statements follows the laws of syllogism;

Statement 1 - If you interview for a job, then you wear a suit.

Statement 2 - If you interview for a job, then you will update your resume.

Looking at these statements it is easy to see that they are not valid syllogism. This is because, not every job requires you to wear a suit for interview. You could have a CV that does not need to be updated and still use it for an interview.

Learn more about syllogism:https://brainly.com/question/21635821

#SPJ1

Answer:

86+18\(\sqrt{2}\)

Step-by-step explanation:

Use the properties of 45-45-90 triangles to get a side length of 18 for the 2 legs of the isosceles triangle. Then add 43+18, which is the shorter length of the rectangle, +25, which is the longer edge, +18\(\sqrt{2}\). The answer is now 86+18\(\sqrt{2}\).

Answer:

111.4556

Step-by-step explanation:

Perimeter = 18 + 25 + 18√2 + 43

Perimeter = 86 + 18√2

Perimeter = 86 + 18(1.4142)

Perimeter = 86 + 25.4556

Perimeter = 111.4556

The length of the whole field will be 400 while the width will be 200 meters.

Perimeter is the addition of an external measure of sides it will always positive.

Perimeter of square = side + side + side + side

The perimeter of the circle = πd where d is the dia of the circle.

As per the given three equal areas have been drawn,

The perimeter of this area will be as,

2x + 4y = 1600

Area A = xy

A = x(1600 - 2x)/4

A = 400x - 1/2x²

To find the maximum area take the first derivative,

dA/dx = =0

400(1) - (1/2)2x = 0

400 - x = 0

x = 400 meter

And, 4y = 1600 - 2(400)

y = 800/4 = 200 meter

Hence " The length of the whole field will be 400 while the width will be 200 meters".

To learn more about Perimeter,

https://brainly.com/question/6465134

#SPJ1

Answer:

28043.3 \(m^{3}\)

Step-by-step explanation:

Formula for volume of a hemisphere can be termed as:

\(V = \dfrac{2}{3} \pi r^{3}\)

where \(r\) is the radius of hemisphere

Please refer to the figure attached for the sample figure of a hemisphere.

We are given here, diameter of hemisphere = 47.5 m

Relation between diameter and radius is given as :

\(r = \dfrac{d}{2}\)

where, \(r\) is the radius and

\(d\) is the diameter.

So, \(r = \dfrac{47.5}{2}\ m\)

Volume is:

\(V = \dfrac{2}{3} \pi (\dfrac{47.5}{2})^3\\\Rightarrow \dfrac{2}{3} \times 3.14 \times (\dfrac{47.5}{2})^3\\\Rightarrow 28043.3\ m^3\)

Hence, volume of given hemisphere is 28043.3 \(m^{3}\).

Answer:

Step-by-step explanation:

What is the volume of a hemisphere with a diameter of 37.6 m, rounded to the  of a cubic meter?

\text{Volume of a Sphere:}

Volume of a Sphere:

V=\frac{4}{3}\pi r^3

V=

3

4

​

πr

3

\text{radius} = \frac{\text{diameter}}{2} = \frac{37.6}{2}=18.8

radius=

2

diameter

​

=

2

37.6

​

=18.8

meters

\text{Plug in:}

Plug in:

\frac{4}{3}\pi (18.8)^3

3

4

​

π(18.8)

3

27833.1369876

27833.1369876

Use calculator

\text{Volume of Hemisphere HALF of Volume of Sphere:}

Volume of Hemisphere HALF of Volume of Sphere:

\frac{27833.1369876}{2}

2

27833.1369876

​

Divide volume by 2

13916.5684938

13916.5684938

\approx 13916.6\text{ m}^3

≈13916.6 m

3

Round to the nearest tenth

Answer: the answer is d

Step-by-step explanation:

Factorial (n!) is a mathematical operation that represents the product of all positive integers from 1 to n. It is defined as n! = n × (n-1) × (n-2) × ... × 3 × 2 × 1. Factorial is commonly used in combinatorics to calculate the number of ways to arrange or select items from a set.

Combinatorially, n! represents the number of permutations of n distinct items. It signifies the total number of ways these items can be arranged in a specific order. For example, if you have a set of n different objects and you want to arrange them in a line, there are n choices for the first position, (n-1) choices for the second position, (n-2) choices for the third position, and so on, until you have only one choice for the last position. The total number of arrangements is given by n!.

For the specific task of creating pizzas with at least two ingredients, while ensuring that a pair of ingredients is never used together, the general formula for the number of possible pizzas with n ingredients can be calculated as (n-1)!. This is because once we select one ingredient for the excluded pair, we are left with (n-1) ingredients to choose from for the remaining positions on the pizza.

For the case of 5 ingredients, we can use a brute force approach to enumerate the possible pizzas. Let's assume the ingredients are labeled as A, B, C, D, and E. We start by selecting two ingredients for the excluded pair, which can be done in 5 choose 2 ways (denoted as C(5,2)). Then, for each pair, we calculate the number of possible pizzas using (n-1)!. In this case, the total number of possible pizzas would be C(5,2) × (5-1)! = 10 × 4! = 10 × 24 = 240.

Learn more about permutations here:

https://brainly.com/question/29990226

#SPJ11

Answer:

A (DE = GF)

Step-by-step explanation:

In a isosceles trapezoid, one pair of segments are parallel, and another pair are equivalent in length.

The only choice that fits this criteria is A, where DE equals GF.

Answer:

The 2 values that makes the function equal to 18 is 3 and -6

Step-by-step explanation:

First you can convert the quadratic equation from standard form to root form

Step 1: Substitute f(g) = 18

Step 2: Move 18 to the other side to create

0 = g² + 3g - 18

Step 3: Now we rearrange equation from standard form into root form

Step 4: Find what adds to 3 and multiples to -18

-3 and 6 adds to 3 and multiples to -18

Step 5: Now we substitute -3 and 6 into the root equation

0 = (g-3)(g+6)

Step 6: Set the brackets to 0 and solve

g - 3 = 0

g = 3

g + 6 = 0

g = -6

Step 1:

First count the number of stickers on a page

There are 12 stickers in a page

Step 2

There are 30 pages,

Hence, the number of stickers in 30 pages = 30 x 12 = 360

Final answer

Dana has 360 stickers in all

Answer:

the answer is D. (10, ∞)

Step-by-step explanation:

Answer:

y = 1/2

x = 2

Step-by-step explanation:

7^2y × 3^x = 7 × 9

7^2y × 3^x = 7^1 × 3²

7^2y = 7^1 so y = 1/2

3^x = 3² so x = 2

total no. of marbles = 10

no. of white marbles = 2

2/10 = 1/5

hope it helps...!!!