mario needs to cut three book shelves from a board that is 1.8 meters long. the second shelf is 15 centimeters longer than twice the length of the first shelf . the remaining shelf is 5 centimeters longer that the first shelf. the equation below represents this situation, where x is the length of the first shelf in meters

x+(2×+0.15)+(×+0.05)=1.8

A. 0.40
B.0.45
C.0.53
D.0.96​

Answers

Answer 1

Answer:

0.40

Step-by-step explanation:

4x+0.15+0.05=4x+0.2=1.8

1.8-0.2=1.6

1.6/4->x=0.4


Related Questions

How do you know if an equation is continuous?

Answers

Answer:

For a function to be continuous at a point, it must be defined at that point, its limit must exist at the point, and the value of the function at that point must equal the value of the limit at that point.

What is the slope of the linear equation 2y 3x − 1?

Answers

Let m s the slope of the given equation 2y+3x-1. So m=-3/2.

What is meant by slope?

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by Δy and Δx, respectively. Consequently, the formula for the change in y-coordinate with respect to the change in x-coordinate is

m =Δy/Δx = change in y/change in x

where "m" represents a line's slope.

Write alternative way to write slope.

Slope can also be written as

tanθ  = Δy/Δx

The given equation is:

2y+3x-1=0

Separate y

2y= -3x+1

y= -3/2x +1/2

Comparing it with equation of line y=mx+c where m is the slope we conclude that slope of the given equation is m=-3/2.

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solve for x in square. Given: (6x-21)

Answers

Answer: 3.5

Step-by-step explanation:

To solve for x in a square, you need to find the value of x that makes the square equal to zero. In this case, the square is given by (6x-21), so we can solve for x by setting this expression equal to zero and then solving for x.

To solve the equation (6x-21) = 0, we can use basic algebraic techniques. First, we can add 21 to both sides of the equation to get (6x-21) + 21 = 21. Then, we can use the distributive property to expand the left-hand side of the equation as follows:

(6x-21) + 21 = 21

6x - 21 + 21 = 21

6x = 21

Finally, we can divide both sides of the equation by 6 to find the value of x that makes the square equal to zero:

6x = 21

x = 21 / 6

x = 3.5

Therefore, the value of x that makes the square (6x-21) equal to zero is x = 3.5.

true/false if y is a differentiable function of u and u is a differentaible function of u and u is a differentaible function of x, then y is a differentiable function of x

Answers

True. If y is a differentiable function of u and u is a differentiable function of x, then the chain rule states that y is a differentiable function of x.

The chain rule states that if y is a function of u and u is a function of x, then the derivative of y with respect to x is equal to the derivative of y with respect to u multiplied by the derivative of u with respect to x. This means that if y is a differentiable function of u and u is a differentiable function of x, then y is also a differentiable function of x.

In mathematics, a function is said to be differentiable at a point if it is possible to define the derivative of the function at that point. The derivative of a function is a measure of how the function changes as its input (or independent variable) changes. It is defined as the limit of the difference quotient, which is a measure of the rate of change of the function over a small interval around the point of interest.

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in mathimativille, a speeding ticket is issued once someone goes over the post limit. The speeding fine is $75.00 plus $5.00 exceeding the post limit. write an equation to show the relationship between the fines (F) and the speed (S) over the posts limit.

Answers

Answer:

don't know the answer

Step-by-step explanation:

but thanks for the points bookie

Solve pls brainliest

Answers

Answer:

This data has a positive correlation.

Step-by-step explanation:

As the x-values increase, the y-values increase. Therefore, there is a positive correlation. (positive/positive = positive)

Hannah is going to play one game of chess and one game of backgammon.
The probability she will win the game of chess is 0.6
The probability that she will win the game of backgammon is 0.7.
Complete the tree diagram below
Chess
Win
Not
Win
Backgammon
Win
Not Win
Win
Not Win
Work out the probability that Hannah will win both games

Answers

We will use the concept of Probability in this question. The probability that Hannah will win both games is 0.42.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The likelihood that an event will occur increases with its probability. A straightforward illustration is tossing a fair (impartial) coin. Since there are no other conceivable outcomes and the coin is fair, the odds of both the possibilities, "heads" and "tails," are equally likely to occur. As a result, the probability of either occurrence is half.

Calculation

The probability she will win the game of chess is 0.6.

The probability she will not win  the game of chess is 0.4[1-0.6]

The probability that she will win the game of backgammon is 0.7.

The probability that she will not win the game of backgammon is 0.3.[1-0.7]

To find the probability of winning of two games

    P(A∩B)=P(A)×P(B)

   ⇒P(Hannah)=0.6×0.7

    ∴Probability of winning both games=0.42.

We will use the concept of Probability in this question. The probability that Hannah will win both games is 0.42.

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What is the inverse of 3?

Answers

The Additive Inverse of the number 3 is -3 that is "Negative 3".

The Inverse (Additive) of the number is defined as the number which when added to original number the result is zero .

the number is given as "3" ,

We let the additive inverse be = "a" ;

According to above definition of additive inverse ,

we get ;

3 + a = 0 ;

On simplifying further ,

we get ;

a = -3 .

the sum of 3 and -3 is written as  3 +(-3) ⇒ 3 - 3 = 0 .

Therefore , the additive inverse is "-3" .

The given question is incomplete , the complete question is

What is the additive inverse of the number 3 ?

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What is the scale factor from the cliff in the Scale Drawing drawing to the actual cliff? What is the actual height of the lighthouse?

Answers

The scale factor from the cliff in the Scale Drawing to the actual cliff is 3, and the actual height of the lighthouse is 30 ft.

What is the scale factor?

To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilized. It is employed to change the size of an object.

Given:

The actual height from sea to the lighthouse, A = 36ft

The height in the diagram, D = 12

Calculate the scale factor as shown below,

Scale factor = A / D

SF = 36 / 12

SF = 3

Calculate the actual height as shown below,

Actual height = scale factor × height in the diagram

Actual height = 3 ×  10 = 30 ft.

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The price of a computer increae from £631 to £776. 13

Determine the percentage change

Answers

The price of a computer increase from £631 to £776. 13. The percentage change is 81.3%

As per the given data:

Old value of computer is £631

New value of computer is £776. 13

Percentage Change: Percentage Change is the difference coming after subtracting the old value from the new value and then divide by the old value and the final answer will be multiplied by 100.

The phrase percent change says the difference in the percent of the earlier and present quantity.

Percentage change formula is

Percentage Change [tex]=\frac{{New Value - Old Value} }{{Old Value}} \times 100[/tex]

If the result is positive, then it is an increase.

If the result is negative, then it is a decrease.

[tex]=\frac{631}{776.13} \times 100[/tex]

= 0.813 × 100

= 81.3%

Therefore the increase in percentage is 81.3%

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Why do we take the square root of both sides?

Answers

Therefore ,  we take the square root of both sides as if  two expressions are equal, then their square roots are also equal.

What is square root?

The number is derived by multiplying the square root of a positive integer by itself.

For instance, the square root of 25 is 5, since 5 x 5 is 25.

As you can see, 5 is also the square root of 25 because (5) (5) = 25.

The square root of a number is always represented by the symbol, which is √.

Here,

We are using the square to solve a quadratic problem

Remember to take the square root of both aspects of the equation and to utilize both negative and positive roots.

Because of the rule that says if expressions are equivalent, then their square roots are likewise equal, we are able to perform this.

Therefore ,  we take the square root of both sides as if  two expressions are equal, then their square roots are also equal.

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What is the formula of variance and standard deviation of a probability distribution of a random variable?

Answers

For a given probability distribution, The random variable also contains discrete values, The variance and standard deviation are computed in terms of Expected values E(X).

What do you mean by random variable?

The mathematical formalization of a number or object that is subject to chance events is known as a random variable. It is a function or mapping between a space of potential outcomes, commonly real numbers, to a space of measurement.

What is standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

for discrete probability distribution , E(x) = x*P(x)

for continuous probability distribution ,  E(x) = x *f(x)

Variance = [tex]E(X^2)-(E(X))^2[/tex]

standard deviation = [tex]\sqrt {Variance}[/tex]

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What is set in math for kids?

Answers

In math for kids, a set is a collection of objects or numbers that have been grouped together.

What is set?

Set is a collection of distinct elements or objects that are grouped together. Sets can be defined as either finite (having a finite number of elements) or infinite (having an infinite number of elements). Sets are commonly used in mathematics, computer science and other areas of study to represent collections of data or to express logical relationships.

The objects in a set can be anything, such as numbers, shapes, letters, words, and even other sets. Sets are often used in math problems and are a great way to help kids learn basic math skills. They can also be used to teach problem solving and logic. Sets are a fundamental part of mathematics and can be used to help kids understand mathematical concepts.

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if mary had 23 apples and she give 10 to her fren. how many apples do she have left?

Answers

If she gave 10 to her friend she will have [13 apples left]
Answer= 13 because 23-10=13

What is the mode of the following set of numbers?

143, 312, 41, 28, 308, 619, 321, 352, 465

288
279.3
none
312

Answers

Mode means the number that is most frequent, 288 doesn’t appear either does 279.3 but 312 appears once therefore 312 is the answer.

Solve for x.
(x+16)
(4x-5
7
11
13
9

Answers

Answer:

soln:

x+16=4x-5

16+5=4x-x

21/3=x

Therefore x=7

Find the total surface area of the rectangular prism in the figure.

A) 174 cm^2
B) 348 cm^2
C) 522 cm^2
D) 432 cm^2

Answers

The total surface area of the rectangular prism in the figure is 348 cm²

How to find the total surface area of the rectangular prism

A rectangular prism is a polyhedron in geometry that has two parallel and congruent bases.

It also goes by the name cuboid. Six faces make up a rectangular prism, and each face has a rectangle shape and twelve edges.

The formula for total surface area of a rectangular prism is

TSA = 2 (lh +wh + lw ) Square units

= 2( 8 *9 + 6 * 9 + 8 * 6 )

= 2 (174)

= 348 cm²

The rectangular prism have a Total surface area of  348 cm²

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How much extra do you get for limited capability for work?

Answers

You get £354.28 a month extra for limited capability for work.

If you have a "restricted capability for work-related activity," £354.28 per month (the higher rate) is included in your award. An evaluation of one's "work capability" is what determines this. In some cases, the work capability amount cannot be included in your award right away; instead, there is typically a three-month "waiting period." When you submit supporting medical documentation to the Department of Work and Pensions, this will ordinarily start. You should take the work capacity evaluation while you're waiting.

A lesser rate of the work capability amount of £132.89 might have been included in your award prior to April 3, 2017, if you were only determined to have a "limited capability for work" during this assessment (and not a limited capability for job-related activity).

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What is the mean of 5 7 9 11?

Answers

The mean of the following data is 8.

To find: Mean of given numbers.

Given data is 5, 7, 9, 11

Mean: It is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

Mean=[tex]\frac{Sum of all observations}{Number of observations}[/tex]

Here, sum of observations is 5+7+9+11=32

Sum of observations is 32

Arithmetic mean refers to the average amount in a given group of data. It is defined as the summation of all the observation is the data which is divided by the number of observations in the data

Total number of observation is 4

The number of observations provides information on the total number of values that are contained in the Dataset. This property is intended to provide an indication of the size of a Dataset.

Substituting values in above formula,

=[tex]\frac{32}{4}[/tex]

=8

Therefore, the mean is 8.

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20. Let g be a twice-differentiable, increasing function of t. If g(0) 20 and g(10) 220, which of the following must be true on the interval 0 < 10 ? (A) g'(t) 0 for some t in the interval. (B) g) 20 for some t in the interval. (C) g"(t) 0 for some t in the interval. (D) g"(t) > 0 for all t in the interval

Answers

For given function the correct solution is g'(t) = 20 for some t in the interval.

A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

For a given function, y = F(x), if the value of y is increasing on increasing the value of x, then the function is known as an increasing function and if the value of y is decreasing on increasing the value of x, then the function is known as a decreasing function.

Given that g(10)= 220

g(0)= 20

So putting values in condition of differentiation for increasing function we get:

[tex]\frac{g(10)-g(0)}{10-0}[/tex]

= [tex]\frac{220-20}{10}[/tex]

=20

Hence as we can see that the correct solution for given function is g'(t) = 20 .

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A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

Given that g(10)= 220

g(0)= 20

So putting values in condition of differentiation for increasing function we get:

= 220-20/2

=20

on dividing 2272 as well as 875 by 3 digit number n we get the same remainder The sum of the digits Of n is​

Answers

Answer:

10

Step-by-step explanation:

2272-875=1397

Factors of 1397: 1, 11, 127, 1397

Where's the three-digit number? ==> 127 is the three-digit number

875/127 = 6.889

1397/127=11

2272/127=

(875+1397)/127=

875/127 + 1397/127=  ==> substitute 11 for 1397/127 and 6.889 for 875/127

6.889 + 11 = 17.889

Hence, 2272/127=17.889

Hence, 2272 and 875 have the same remainder when divided by 127.

Now add the digits:

1+2+7=10

Complete the tasks please helpl

Answers

Answer:

Step-by-step explanation:

math question
13 c= pt

Answers

Step-by-step explanation:

13 cups = ? pints

there are 2 cups per pint so:

13/2 = 6.5

13 cups = 6.5 or [tex]6\frac{1}{2}[/tex] pints

What factors should be taken into consideration when creating a financial plan?

Answers

There are four factors that should be taken into consideration when creating a financial plan.

Define financial plan.

The process of figuring out how a corporation will be able to afford to meet its strategic goals and objectives is known as financial planning. Typically, a business develops a financial plan right away after establishing its vision and goals.

What is the importance of financial planning?

You can reach your financial objectives with the help of financial planning, whether they are to purchase a home for your family, save money for your children's school, have a comfortable retirement, or take a dream vacation. Additionally, it gets you ready for crises and unanticipated circumstances like getting sick, losing your job, or needing home renovations.

4 things to think about when creating your financial plan:

At each stage of your life, think about your requirements and commitments.Set attainable objectives for the short, medium, and long terms.Determine whether your security measures are adequate.Find out about the tax breaks and reliefs that are available to you.

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For what values of k the roots of the equation x² 4x?

Answers

The equation x² + 4x = 0 has no real roots for any value of k.

The equation x² + 4x = 0 can be solved by using the Quadratic Formula. We can rearrange the equation to be in the form of ax² + bx + c = 0. In this case, a = 1, b = 4 and c = 0. We can then plug these values into the Quadratic Formula to find the roots of the equation.

The Quadratic Formula is x = [-b ± √(b² - 4ac)] / 2a

Plugging in our values of a, b, and c we get: x = [-4 ± √(-4² - 4(1)(0))] / 2(1)

Simplifying this equation we get: x = [-4 ± 0] / 2

The equation simplifies to: x = [-4 / 2] and x = [0 / 2].

Since both of these roots are imaginary, the equation x² + 4x = 0 has no real roots for any value of k.

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What is the domain for the given function?
3 + 9x
4+5x

Answers

Answer:

12x plus 9x

Step-by-step explanation:

The difference between two numbers is 60. If the large is divided by the smaller number the quetient is 3 and the remender is 12 find two number

Answers

The two numbers we have to find are 24 and 84.

So, we have been given that there are 2 numbers, and the difference between them is 60.

Let the two numbers be x and y. Let the larger number be x and the smaller number be y.

x-y = 60

When x is divided by y, the quotient is 3 and the remainder is 12.

By division lemma, we can clearly say x= 3y + 12

Now, we have two equations -

x-y=60 and x=3y+12

=>60+y=3y+12

=> y=24

If y=24 and we know x-y=60. This implies that x is equal to 84.

Hence the two numbers 24 and 84.

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Last year, Milan opened an investment account with $5200. At the end of the year, the amount in the account had decreased by 7%.
(a) Fill in the blank to write the year-end amount in terms of the original amount. Write your answer as a decimal.
Year-end=amount×Originalamount
(b) Use your answer in part (a) to determine the year-end amount in Milan's account.
Year-endamount:$

Answers

If Last year, Milan opened an investment account with $5200. At the end of the year, the amount in the account had decreased by 7%.  the year-end amount in terms of the original amount is $364.00 and the year-end amount in Milan's account is $4,836.00.

How to find the year end amount ?

a. Year end amount in terms of original amount

Year end amount = Principal × Percentage decrease

Year end amount = $5,200 × 7%

Year end amount = $364.00

b. Year end amount in Milan account

Year end amount = $5,200 -$364

Year end amount = $4,836.00

Therefore the year-end amount in terms of the original amount is $364.00 and the year-end amount in Milan's account is $4,836.00.

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Kim is a sales representative for a medical software company. She's planning to start saving for her son's college education and her ownretirement. Kim could start contributing to her employer-sponsored_________for retirement and __________for her son's college education.

Answers

Kim could start contributing to her employer-sponsored 401 K for retirement and 529 plans for her son's college education.

401(k) is an employer sponsored retirement benefits plan where the employer and employee contribute a percent of the employee's benefits or gross income every payday in order that the funds can be used to to generate further wealth by a way of investment for the benefit of the employees upon retirement.

529 plan on the other hand,is a college savings plan wherein parent,guardian or even the beneficiary(the would college student) saves money at interval with hope of funding the costs of college education

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How do you find the value of x and y in an angle?

Answers

To find the value of x and y, the length of the side opposite an angle, you need to know the measure of the angle and the lengths of the sides of the angle.

The measure of the angle is usually represented by the letter 'x', and the lengths of the sides are usually represented by the letters 'a' and 'b'. If you know the values of these three quantities, you can use the following formula to find the value of y, which is the length of the side opposite the angle:

y = tan(x) × a

If you know the values of x and y, you can use the following formula to find the value of a, which is the length of the side adjacent to the angle:

a = y / tan(x)

If you know the values of x and a, you can use the following formula to find the value of y:

y = a × tan(x)

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Studies have shown that the effects of human-animal interactions are mostly positive for the pet and the person. Animals can feel stressed and fatigued, too. So, it is important for kids to be able to recognize signs of stress in their pet and know when not to approach because animal bites can cause serious harm. "Dog bite prevention is certainly an issue parents need to consider, especially for young children who don't always know the boundaries of what's appropriate to do with a dog," explains a veterinarian. Having a pet will help teach children how to build social awareness and learn how to be a responsible pet owner. By including children in the care of a pet, children not only learn how to nurture it but also learn that an animal is more than just a toy that they get to play with. Children get to learn that pets are more of a responsibility that depends on the family for food, shelter, and care. For example, helping to bathe and brush a pet can help reinforce a child's own personal hygiene care, too; therefore, they learn to understand that a living creature needs just as much care as humans do. Simultaneously, they learn that by caring for a pet's hygiene, they help prevent skin conditions from forming and illnesses from spreading. When children realize that their involvement in the care of a pet matters, they learn the importance of responsibility and selflessness. With responsibility, they also gain empathy for other living creatures.What piece of information in Passage 2 is different from Passage 1? A. Dog bite prevention teaches children how to be a good pet owner by handling dogs with care rather than like a toy. B. Parents need to be less hands on and allow children to make decisions about caring for pets to teach independence. C. Parents need to be better at educating their children about zoonotic diseases that can be passed from pets to owners. D. Dog biting incidents can easily be prevented as long as children are supervised by their parents during interactions with dogs. According to research on memory formation, information already in our long-term memory ______ how we remember new information and experiences. a. does not influence b. decays in relation to c. has a strong influence on d. is unrelated to Is clever a positive or negative connotation? a muon (a subatomic particle with a mass of 1.884 1025 g) traveling at 320.0 m/s At the preschool Sofia works in, caregivers sing a song to help children remember to wash their hands after they use the restroom. Hopefully this will teach them good habits that will prevent the spread of disease among the children. What type of preventative medicine is Sofia promoting with the song? A. primary B. secondary C. tertiary D. quaternary How to find the sides of a 30 60 90 Triangle calculator? Why it is important that your participants or subjects must be given or issued an informed consent? today 3-year-old amanda is going for her first flight on an airplane. the engines begin to roar, the plane vibrates as it picks up speed, and as it finally lifts off the ground, she looks at her mother's expression. her mother is smiling as she looks out of the window, so amanda decides everything is okay, and flying is fun, and then she begins smiling herself. this is an example of the way babies use the facial expressions of their caregivers to: