Please Help Important!!!!!!

Answer:

e) 4¢

f) cents

g) Cents 102.9 convert to Dollars 1.029

h) Cents 98.9 convert to Dollars 0.989

i) $56.60

j) $54.40

Step-by-step explanation:

e) is correct. The discount is 4¢ per litre
f) It should be cents, not dollars

g) Without a voucher, the cost of fuel is 102.9¢ = $102.9/100= $1.029

h) Since the discount is 4¢ per litre, the price of fuel comes down froom 102.9 - 4 = 98.9¢ = 98.9/100 $ = $0.989

i) 55L at undiscounted price = 55 x $1.029 = $56.595 rounded up to $56.60

j) With a voucher, there is a discounted price of $0.989 per litre. So for 55L, discounted price with voucher = 55 x 0.989 = $54.395 = $54.40 rounded to the nearest cent

The solution of the equation x + y = 7 is equal to (x, y) = (1, 6).

The given equation is of the form of linear equation in two variables. A linear equation in two variables is an equation of the form ax + by c = 0 where a, b and c are coefficients and x, and y are independent and dependent variables respectively.

Now, if we take the equation in the question x + y = 7 and assume (1, 6) as (x, y) then

x + y = 7

Putting (x, y) = (1, 6)

=> 1 + 6 = 7

=> 7 = 7

Thus, we see that L.H.S = R.H.S and thus (1, 6) is the solution of the equation x + y = 7.

Learn more about linear equation in two variables at:

brainly.com/question/19803308

#SPJ9

Answer:

330

Step-by-step explanation:

15 crates × 22 books each = 330 books

Therefore, the librarian has 330 books to sort.

The algebraic expression that is equivalent to (4x + 12) + 9x is:  C. (4x + 9x) + 12.

Algebraic expressions are equivalent to each other if they have he same value when simplified or evaluated.

Given the expression, (4x + 12) + 9x, we have:

4x + 12 + 9x

Add like terms

13x + 12

Also, simplifying (4x + 9x) + 12, we give us the following:

4x + 9x + 12

13x + 12

Therefore, the algebraic expression that is equivalent to (4x + 12) + 9x is:  C. (4x + 9x) + 12.

Learn more about equivalent expression on:

https://brainly.com/question/22365614

#SPJ1

Answer:

7.83 is the answer of ur question

An open circle is at 3 and a bold line starts at 3 and is pointing to the left

Inequalities are expressions that are not equated by an equal sign. Given the expression below:

3(8 – 4x) < 6(x – 5)

Expand to have:

3(8) - 3(4x) < 6x - 6(5)

24 - 12x < 6x - 30

Collect like terms

-12x - 6x < -30 - 24

-18x < -54

Divide both sides by -18

-18x/-18 < -54/-18
x < 54/18
x < 3

Hence the solution of the inequality on the number line A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left

Learn more on inequality here: https://brainly.com/question/24372553

#SPJ1

Answer:

[tex]x = \frac{c}{a + b} a = - b[/tex]

Both statements can be included in the exact numbers category.

Maple provides two kinds of numbers: exact and inexact. If you do arithmetic with exact numbers (and they aren't too large) the answer that you get back is exactly right. If you do arithmetic with inexact numbers (and they aren't too large or too small) the answer may have a small amount of roundoff error. Although we'll treat this distinction at length in future lessons, it is convenient to take a preliminary look right now.

consider the four bicycles in the family have been ridden for a total of 250 mi.

The above statement can be categorized into exact numbers as 4 and 250 are countable.

Now, consider a child fell and had a 4-cm laceration that required 12 stitches.

The above statement can be categorized into exact as the numbers 4 and 12 are countable.

For more information on exact and inexact numbers click on the link below:

https://brainly.com/question/5868480

#SPJ4

Answer:

No, the number of sit-ups Anna does, are not proportional to the time she spends doing them.

Step-by-step explanation:

When Anna starts, she does a sit-up every 22 seconds.

Answer:

E, B, 2 = (2x + 6)

Step-by-step explanation:

I think those are correct.

For addition and subtraction problems, the answer should be rounded to the least  significant decimal places as the measurement with the least number of decimal places

The rightmost digit of a decimal number is the least significant digit or least significant figure. Another way to look at the least significant figure is to consider it to be the rightmost digit when the number is written in scientific notation. Least significant figures are still significant.

Count the number of significant figures in the decimal portion only of each number in the problem. Add or subtract in the normal fashion. Final answer may have no more significant figures to the right of the decimal than the least number of significant figures in any number in the problem.

Learn more about Least significant figures  here :

https://brainly.com/question/11566068

#SPJ4

Answer:

The corrects answer is: Emma will need to make sales totaling $800 next week to meet her goal.

Step-by-step explanation:

Answer:

I believe the answer is (50 x 9) + (7 × 9)

You have to expand 57 which is 50 + 7 and multiply each by 9. Hope it helps!!

91.2 hours less was taken to assemble the parts of the widgets by estimation.

Firstly, we will find out the range:

Using the cumulative unit table to determine the range, we get that-

Range = 88.83 - 61.47

Range = 27.36

Secondly, we will calculate the minutes requires to assemble the widgets.

Number of minutes = 27.36 × 200 minutes

Number of minutes = 5472minutes

Now, we have to calculate  how much time less than their estimate did acme take:

Time = 5472 / 60

Time = 91.2

Therefore, we get that, 91.2 hours less was taken to assemble the parts of the widgets by estimation.

Learn more about estimation here:

https://brainly.com/question/24375372

#SPJ1

He wash 12 cars in 9 hours.

And, He take 45 minutes to wash a car.

And, He wash one and one third part of cars in one hour.

Given that;

Leonard can wash 6 cars in 4.5 hours.

He always washes cars at this same rate.

We have to find number of wash cars in 9 hour and time to wash one car and number of wash cars in one hour.

What is relation between hour and minutes?

The relation between hour and minutes is ;

1 hour = 60 minutes.

Now, we have;

Leonard can wash 6 cars in 4.5 hours.

Time for wash 6 cars = 4.5 hour

So, Time for wash 1 car = 4.5 ÷ 6 = 0.75 hour

Since, 1 hour = 60 minutes

Hence, Time for wash 1 car = 0.75 x 60 = 45 minutes

And, In time 4.5 hour, number of wash cars = 6

So, In 1 hour, number of wash cars = 6/4.5 = 1 1/3

Hence, Number of wash cars in one hour is one and one third part of car.

In 9 hour, number of wash cars = (6/4.5) * 9 = 12

Hence, Number of wash cars in 9 hours is 12.

So, He wash 12 cars in 9 hours.

And, He take 45 minutes to wash a car.

And, He wash one and one third part of cars in one hour.

Learn more about the rate of speed visit:

https://brainly.com/question/24644313

#SPJ1

The given equation is solved to x as x=(41-b)/a.

The given equation is ax+b=41.

We need to solve the given equation for x.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Now, the equation ax+b=41 can be solved as follows:

Keep the variable x on the left-hand side of the equation and bring a to the right-hand side of the equation.

That is, x=(41-b)/a (when you bring a variable from LHS to RHS or vice versa the mathematical operations become inverse that is multiplication changes to division)

Therefore, the given equation is solved to x as x=(41-b)/a.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ1

The variable b as the subject of the formula is b = √2(p -c)/a

Expressions are mathematical statements that are represented by variables, coefficients and operators

The equation is given as

p = 1/2ab^2 + c

Subtract c from both sides of the equation

So, we have

1/2ab^2 = p - c

Multiply through by 2

ab^2 = 2(p -c)

Divide by a

b^2 = 2(p -c)/a

Take the square root of both sides

b = √2(p -c)/a

Hence, b as the subject of the formula is b = √2(p -c)/a

Read more about subject of formula at

https://brainly.com/question/10643782

#SPJ1

Answer:

128,000

Step-by-step explanation:

➟ 8000(1+i)8

➟ (8000 + 8000i)8

➟ 64000 + 64000 = I

➟ I = 128000

Step-by-step explanation:

24+7 =31 for one hour

so 49-31= 18 remaining 18/7 =2 remainder 4 so now we have 3 hrs but what about the remainder 4?

if 7 is to 60 as 4 is to x then...

7/60=4/x which will give you x=34.29 mins. so he rented the bike for 4 hours and 34.29 mins

The density in ounces per liter is 3.57826 rounding off = 3.58

Density of a substance can be defined as a relationship between the mass and the volume of that substance.

[tex]Density=\frac{Mass}{Volume}[/tex]

For Example if a metal have a mass 0f 7gm and volume as [tex]5cm^{3}[/tex]

[tex]Density=\frac{7}{5} = 1.4g/cm^{3}[/tex]

we know that 1 gram/fluid ounce of volume = 1.19275 ounces/liter

1 gm/fluid ounce =1.19275 ounces/liter

3 gm/fluid ounce = 3*1.19275 ounces/liter

So 3 gm/fluid ounce = 3.57826 ounces/liter

On rounding it to nearest hundredth we get 3.58 ounces/liter

Therefore the density of the material which weighs 3 gm/fluid ounce in ounces/liter is 3.58.

Learn more about Density here  https://brainly.com/question/17294683

#SPJ4

Answer:

Step-by-step explanation:Before her deposit on Monday, she had $538 now she has, 538 - 218 + 49 = $369 in her bank account after her withdraw on Friday. Hope this helps, best of luck!

Answer:

length is 9 and width is 6

Step-by-step explanation:

List the factors of 54 and choose the numbers that only have a difference of 3. In this case it is 6 and 9, then put them in the order they go based on the instructions.

The largest angle of the given triangle is 105 degrees. If its measure of other two angles are (6x +17) degrees and (5x + 14)  degrees.

According to the given question.

We have, the measure of the angles  of a triangle are 105 degrees,

(6x +17) degrees, (5x + 14) degrees.

As we know that the sum of the angles of a triangle is always 180 degrees.

Therefore, we can say that

105 + (6x +17) + (5x + 14)  = 180

⇒ 105 + 6x + 17 + 5x + 14 = 180

⇒ 136 + 11x = 180                   (adding the like terms)

⇒ 11x = 180 -136

⇒ 11x = 44

⇒ x = 44/11

⇒ x = 4 degrees.

So,  (6x +17) degrees = 6(4) + 17 = 24 + 17 = 41 degrees

and,  (5x + 14)  degrees = 5(4) + 14 = 20 + 14 = 34 degrees

Hence, the largest angle of the given triangle is 105 degrees. If its measure of other two angles are (6x +17) degrees and (5x + 14)  degrees.

Find out more informtaion of measure of the angles of a triangle here:

https://brainly.com/question/27681289

#SPJ1

By dividing the amount of white sugar by brown sugar we get, 2 2/3. The quotient is 2.

A fraction is a numerical quantity that is not a whole number. In other words, fraction can be defined as a small or tiny part, amount, or proportion of something.

A fraction represented with its quotient and remainder is a mixed fraction.  In other words, a mixed fraction is a combination of a whole number and a proper fraction.

Amount of white sugar  ÷ Amount of brown sugar

2/3 ÷ 1/4

2/3 × 4/1

8/3

2 2/3.

Here quotient is 2 and 2 is the remainder.

To learn more about fractions, visit :brainly.com/question/10354322

# SPJ9

h bvv    bv                                      

It is found that Margo are going to be using sampling.

• sampling in statistics may be a a part of the sampling technique within which each sample has an equal probability of being chosen. In other words, a sample chosen randomly is an unbiased representation of the entire population.

Sample strategies is also classified as :

1) Convenient: The sample that is taken from a pool that is readily accessible.

2) Random : When all options are into a hat and draw a number of team

3) Systematic : Every kth element

4) Cluster : once we divide population into groups called clusters, and every element of cluster is surveyed.

5) Stratified : In stratified also divides the population into groups, However just some of the weather of the group are surveyed. per the question Marbles are taken from the bag, and after they're taken they're again placed back within the bag so it depicts sampling.

Learn more about binomial distribution https://brainly.com/question/15246027

#SPJ4

Drug A is more effective since mean time of effects of Drug A>mean time of effects of Drug B.

Each sample has an equal chance of being picked as part of the sampling procedure known as random sampling. A randomly selected sample is intended to provide a fair reflection of the entire population. Sampling mistake occurs when, for any reason, the sample does not accurately reflect the population.

One of the most straightforward methods for gathering information from the whole population is random sampling. Each member of the subset has an equal chance of being picked as part of the sample process when using random sampling.

To know more about Random sampling, visit;

https://brainly.com/question/12719656?referrer=searchResults

#SPJ4

Answer: 30% blue, 50%red, and 20%yellow

Step-by-step explanation: