0.03 recurring a fraction

From th question, we were told that:

The Cameron family spends 3/10 of their budget on groceries.

They also spend another 3/10 going out to eat.

We are asked to find the fraction of the budget they spent on food altogether.

If 3/10 is spent on groceries which can be termed as food

And Another 3/10 spent going out to eat.

Hence, the fraction of the budget spent on food altogether is:

3/10 + 3/10

= 6/10

= 3/5

Therefore the fraction of their budget spent of food altogether is 3/5.

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

The number of terms in a polynomial helps when performing operations like simplification, factoring, or evaluating expressions.

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

In order to determine the number of terms in a polynomial, we count the number of distinct algebraic expressions separated by addition or subtraction operations.

In this polynomial, we have:

Term 1: 18x³ (This is the term with the highest degree, which is 3 in this case, and it includes the coefficient 18.)

Term 2: -2x² (This term has a degree of 2 and a coefficient of -2.)

Term 3: 4x (This term has a degree of 1 and a coefficient of 4.)

Term 4: -1 (This is a constant term with a degree of 0.)

We can see that there are four distinct terms separated by addition and subtraction operations:

18x³, -2x², 4x, and -1.

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

It is possible to find out the number of people who attended the event. Hence option B is correct.

What is the system of equations?

System of equations, also known as simultaneous equations, Two or more equations to be solved together in algebra (i.e., the solution must satisfy all the equations in the system). The number of equations must equal the number of unknowns for a system to have a unique solution.

Given that, a total of 24 cases of forks and each case of forks contains 36 packages each containing 12 forks.

Form about information, calculate the number of forks.

A total of 24 cases of spoons and each case of spoons contains 45 packages each containing 12 spoons.

Form about information, calculate the number of spoons.

Given that at the end of the event, 12 forks and 18 spoons were not given out to guests.

Form these we can get information that how many spoon used.

Since each guest will receive 2 forks and 3 spoons at the beginning of the event.

Using this information we can get the number of people who attend the event.

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The output for an input of n is given as follows:

f(n) = -4 - 2n.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

For this problem, we have that when x increases by one, y decays by two, hence the slope m is given as follows:

m = -2.

Hence:

f(n) = -2n + b.

When n = 1, f(n) = -6, hence the intercept b is obtained as follows:

-6 = -2 + b

b = -4.

Hence the equation is:

f(n) = -2n - 4.

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Answer:

7 2/3 + 7 2/3 = 14 4/3 = 15 1/3

Step-by-step explanation:

Answer:

7+7= 14 than 2/3+2/3= 4/3= 15 1/3

Step-by-step explanation:

It has been a good while since I have done this type of work so I am deeply sorry if I am wrong.

The experimental probability of rolling an odd number is around  683.3333%, which is 58.3333% more than the theoretical probability.

Again I am deeply sorry if I am wrong, have a good rest of your day!

The experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.

The probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

A special 8-sided die is marked with the numbers 1 to 8.

It is rolled 20 times with these outcomes:

{3 4 5 2 7 1 3 7 2 6 2 1 7 3 6 1 8 3 5 6}

The experimental probability of rolling an odd number is :

⇒ 12/20

⇒ 0.6

The percentage of experimental probability = 0.6 × 100 = 60%

Theoretical probability as:

⇒ 4/8 × 100 = 50%

Difference between experimental and theoretical probability

⇒ 60 - 50 = 10%

Hence, the experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.

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The perimeter and the area of the rectangle is as follows:

perimeter=182 cm

area=2028cm².

A rectangle is a closed, four-sided figure in two dimensions. The opposite sides of a rectangle are equal and parallel to one another, and all of its angles are 90 degrees.

The area of a rectangle is equal to the product of the rectangle's length and breadth, or "l" and "w," and is written as follows:

Rectangular Area = (l x w)

The formula for the perimeter, 'P' of a rectangle whose length and width are 'l' and 'w' respectively is 2(l + w).

Formula for the Perimeter of a Rectangle: 2 (Length + Width)

Now in the question given,

Length of the rectangle = 8cm.

Width of the rectangle = 6cm.

So, original perimeter=2 × (8+6) +28 cm and

original area=8 × 6= 48 cm²

Now the scale factor = 6.5

New length = 8 × 6.5 = 52cm

width = 6 × 6.5 = 39cm.

New perimeter = 2(52+39) =182 cm.

New area = 52 × 39 = 2028cm².

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The complete question is:

What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 6.5?

The domain of the quadratic function in this problem is given as follows:

All real values.

The domain of a function is the set of all the possible input values that can be assumed by the function.

On the graph, the domain of the function is given by the values of x of the function.

A quadratic function has no restrictions on the domain, hence it is defined by all the real values.

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Answer:

First option

Step-by-step explanation:

Hi there!

The "constant additive rate of change" means a constant slope.

The slope is \(\displaystyle\frac{change \hspace{4} in \hspace{4} y}{change \hspace{4} in \hspace{4} x}\).

First of all, if the slope is constant, then we know immediately that it must be a linear function, a line. The change in y is forever the same according to the change in x. Knowing this, the second option is for-sure wrong (it's not a straight line).

Now, let's look at the first option. It is a linear function, which means it has a constant slope. However, we're given that the slope is \(-\displaystyle \frac{1}{4}\). This means that for a line, whenever it travels 4 units to the right, it travels 1 unit down (it travels down whenever the slope is negative and up whenever the slope is positive).

This is the exact case for the first option. Look at the point (-2,2) on the line. When we move 4 units to the right of that point, The line would have moved 1 unit down. We would reach the point (2,1).

Therefore, the correct answer would be the first option.

I hope this helps!

Answer:

x

−

3

x

−

2

Step-by-step explanation:

Answer:

The smaller number in 0.01

Step-by-step explanation:

To find this answer, just take the fraction and find the quotient of both numbers.

1.789/178 = 0.01005056179

Now take the quotient and compare it to 0.05.

Is 0.01 larger or 0.05 - the answer is 0.01.

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

The 15 terms are: 2, -12, 7, -2, 20, -30, 42, -56, 72, -90, 110, -132, 156, -182, 210.

Arithmetic Progression (AP) is a numerical series in which the differences between any two successive integers is a fixed value. Arithmetic Sequence is another name for it. We will come across various key terminologies in AP, which are designated as: The first term (a), Common distinction (d), nth Term (an),The total of the first n terms (Sn).

A progression is a sort of sequence in which a formula for the nth term may be found. The Arithmetic Progression is the most often used sequence in mathematics, using simple formulae. There are three types of progressions in mathematics. They are as follows: Arithmetic Progression (AP), Geometric Progression (GP), and Harmonic Progression (HP).

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We have that the linear equation is:

4x + 2y = 24

We need to convert this standard form of the line equation into the slope-intercept form of the line equation, that is, y = mx + b. Then, we can do as follows:

1. Subtract 4x from both sides of the equation:

2. Divide both sides of the equation by 2 (to isolate y):

Now, we have the slope-intercept form of the line equation. The slope, m, is m = -2.

Since we need to find a parallel line to this line, the new line needs to have the same slope, that is, m = -2.

Then, we have the slope, m = -2, and the point (6, 4). We can use the point-slope form of the line equation to find the parallel line. Therefore, we have:

And then, expanding this equation, we finally have that the parallel line is:

Fred will pay $43.05 in sales tax if he buys the new refrigerator.

To calculate the sales tax Fred will pay for the new refrigerator, we first need to find the amount of the sales tax.

The cost of the new refrigerator is $615.

To calculate the sales tax, we multiply the cost by the tax rate of 7%:

So, Sales tax = 7% of $615

Sales tax = (7/100) x $615

Sales tax = $43.05

Therefore, Fred will pay $43.05 in sales tax if he buys the new refrigerator.

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Answer:

Step-by-step explanation:

The population of Rhode Island:

The population of the Earth:

About how many times larger is earth's population:

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Let's solve :

hence, population Earth is approximately 7321 times the population of Rhode Island.

Answer: Area 6 Perimeter 12

Step-by-step explanation:

First, you have to find the perimeter. 4+5+3=12. Then, you need to find the area, which is base*height/2. The base is 3 and the height is 4. 4*3=12. Then you need to do 12/2=6. The area is 6

Answer:

The answer for P=12cm,A=6cm²

Step-by-step explanation:

Perimeter of triangle=a+b+c

P=5+3+4

P=12cm

Area of triangle =1/2bh

A=1/2×3×4

A=2×3

A=6cm²

Answer:

The answer is

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

\(y - y_1 = m(x - x_1)\)

where

m is the slope

( x1 , y1) is the point

From the question the points is (5, -4) and slope - 2/5

The equation is

\(y + 4 = - \frac{2}{5} (x - 5) \\ y + 4 = - \frac{2}{5} x + 2 \\ y = - \frac{2}{5} x + 2 - 4\)

We have the final answer as

\(y = - \frac{2}{5} x - 2 \\ \)

Hope this helps you

Answer:

ur welcome brainliesit pls

Step-by-step explanation:

6. x=2

7. x=3

8.x=-7

Answer:

(-9) + (-2) = -11

Step-by-step explanation:

The first arrow on the number line starts from 0, moves downwards 9 units from 0.

We would write this as -9.

Also, the next arrow starts moves from -9, 2 units downwards.

We would write this as -2

The addition equation would be:

(-9) + (-2) = -11

Answer:

(0,12) are the correct y-intercepts.

Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

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The sum that Mahesh borrowed was Rs. 22,800, the interest that Mahesh has to pay was Rs. 6,492, the interest that Rakesh has to pay was Rs. 7,550, and the percentage by which Rakesh pays more interest than Mahesh was 16.3%.

a) Sum borrowed by Mahesh

Let us suppose that the principal sum borrowed by Mahesh from the bank at 9% per annum is Rs. x.

Hence, we can write that

Simple Interest = (P × R × T )/ 100

= (x × 9 × 3)/100

= 27x/100

Therefore, the amount that Mahesh has to pay after 3 years, including the interest, is

A = P + SI

= x + 27x/100

= 127x/100

Again, Mahesh invests the same amount of Rs. x to Rakesh at 10% per annum, which is compounded annually, for three years.

Hence, the total amount after three years that Rakesh has to pay Mahesh is:

Amount after 3 years = x (1 + R/100)³

= x (1 + 10/100)³ = 1.331 x

Therefore, Mahesh made a profit of Rs. 7,550 by investing Rs. x at 10% per annum, compounded annually, for three years.

Hence, we can write that

Compound Interest = Amount - Principal

CI = 1.331x - x = 0.331x

Therefore, 0.331x = Rs. 7,550=>

x = Rs. 22,800

Thus, Mahesh borrowed Rs. 22,800 from the bank.

b) Interest that Mahesh has to pay

Interest = P × R × T/100

= Rs. 22,800 × 9 × 3/100 = Rs. 6,492

Therefore, Mahesh has to pay Rs. 6,492 as interest.

c) Interest that Rakesh has to pay

The total amount that Rakesh has to pay to Mahesh is Rs. 30,350 [= (22,800 + 7,550)].

Therefore, interest that Rakesh has to pay = Total Amount - Principal

= Rs. 30,350 - Rs. 22,800 = Rs. 7,550

Therefore, Rakesh has to pay Rs. 7,550 as interest.

d) Percentage by which Rakesh pays more interest than Mahesh

Let us calculate the percentage difference between the interest paid by Rakesh and the interest paid by Mahesh.

Thus, the percentage difference can be calculated as

% Difference = (|Interest paid by Rakesh - Interest paid by Mahesh|/ Interest paid by Mahesh) × 100

% Difference = (|7,550 - 6,492|/6,492) × 100

% Difference = 16.3%

Therefore, Rakesh pays more interest than Mahesh by 16.3%.

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The within-treatments sum of squares is sometimes referred to as the "error sum of squares" because it represents the amount of variability in the data that is not accounted for by the treatment effect. In other words, it represents the variability that is due to random error or chance factors that are not related to the treatment. The error sum of squares is used to estimate the variance of the population from which the samples were drawn. The F-ratio is then calculated by comparing the treatment mean square to the error mean square. If the treatment effect is significant, then the treatment mean square will be larger than the error mean square, resulting in a larger F-ratio and a rejection of the null hypothesis. Therefore, the error sum of squares is an important component of the ANOVA table as it helps to determine whether the treatment effect is significant or not.

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some examples would be - - -

hope that helps :)