Niall owes $187 to his cousin. However, he doesn't have any money right now. He hopes to earn some money by painting a house. He gets paid $34 for every 2 hours he paints. Which equation of a line models y, the amount of money he will have after paying back his cousin, in terms of x, the number of hours he spends painting?

Answer: He would need [tex]3\dfrac{1}{3}[/tex] pounds to fill the container all the way.

Step-by-step explanation:

Since we have given that

Fraction of mashed potatoes he had to fill up a container = [tex]\dfrac{4}{5}[/tex]

Fraction of mashed potatoes he ended up using = [tex]2\dfrac{4}{6}=2\dfrac{2}{3}=\dfrac{8}{3}[/tex]

So, we need to find the number of pounds that he would need to fill the container all the way.

So, number of pounds would be

[tex]\dfrac{8}{3}\div \dfrac{4}{5}\\\\=\dfrac{8}{3}\times \dfrac{5}{4}\\\\=\dfrac{10}{3}\\\\=3\dfrac{1}{3}[/tex]

Hence, he would need [tex]3\dfrac{1}{3}[/tex] pounds to fill the container all the way.

The required original cost of the in-line skates is given as $100.00.

Given that,
A pair of in-line skates are on sale for $90, this price represents a 9% discount from the original price, and the original price to the nearest cent is to be determined.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

here,
Let the original price of the in-line skates be x,
according to the question,
0.9 [x] = 90
x = 90 / 0.9
x =  $100

Thus,  The required original cost of the in-line skates is given as $100.00.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ2

The function represented in the table is linear, so option A is correct.

A formula known as an equation uses the equals sign to denote the equality of two expressions.

Given :

For x = 2, y = 4,

x = 4, y = 8...

As you can that the y is double of x,

So the equation of this condition is,

y = 2x

Hence, the function is dependent on x, and it is linearly dependent.

Therefore, The function represented in the table is linear.

To know more about equation:

https://brainly.com/question/12788590

#SPJ3

Answer:

$7500

Step-by-step explanation:

Answer: 20 hg

Step-by-step explanation:

Given: Alonzo's suitcase can weigh no more than 20 kilograms if he wants to take it on the airplane without paying a fee.

Let x denote the weight of suitcase, then

[tex]x\leq20kg[/tex]

We know that 1 kg =10 hg

Therefore, 20kg=[tex]20\times10=200hg[/tex]

⇒ [tex]x\leq200hg[/tex]

Since, the weight of his suitcase is 220 hg.

The amount of weight will Alanzo have to take out of his suitcase to meet the weight limit will be :-

[tex]D=220-200=20[/tex]

Hence, 20 hg of weight have to take out of his suitcase to meet the weight limit.

Answer: (3x1/3) x 42

Step-by-step explanation: trust me I took the test.

There are total 1638 marbles.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Number of jars = 3

Each bar contain = 42 marbles

Red marbles = 13

So, total number of marbles

= 3 x 13 x 42

= 1638.

Hence, there are total 1638 marbles.

Learn more about unitary method here:

https://brainly.com/question/28276953

#SPJ2

Final answer:

To find out how long it will take Nancy to paint the house alone, we calculate her work rate by subtracting Mary's rate from their combined rate. This gives us Nancy's work rate as 5/12 of a house per hour, which means Nancy would take 2.4 hours to paint the house by herself.

Explanation:

To determine how long it would take Nancy to paint the house by herself, we can set up an equation based on the rates of work done by Mary and Nancy together, and by Mary alone. We know that Mary can paint a house in 12 hours, so her work rate is 1/12 of a house per hour. When Nancy helps, together they can paint the house in 2 hours, so their combined work rate is 1/2 of a house per hour.

To find Nancy's work rate, we set up the equation:
1/12 + 1/N = 1/2

Now, we solve for N (Nancy's time to paint the house alone):
1/N = 1/2 - 1/12
1/N = 6/12 - 1/12
1/N = 5/12
N = 12/5
N = 2.4 hours

Therefore, it would take Nancy 2.4 hours to complete the same job by herself.

Answer:

50

Step-by-step explanation:

Answer: C.2

Step-by-step explanation:

Given: Independent variable= Number of sides

To check how many of the remaining three columns represent a linear relationship, we need to check the rate of change of the three columns with respect to dependent variable.

For number of diagonals

The rate of change of diagonals w.r.t number of sides is constant and that is 1.

For Sum of all interior angles (degrees)

The rate of change of  Sum of all interior angles w.r.t number of sides is constant and that is 180°.

For measure of each angle (degrees)

The rate of change of  measure of each angle w.r.t number of sides is not constant and that is 180°.

Since for vertices 3 , measure of angle=60

vertices 4 , measure of angle=90

From vertices 3 to 4 change in measure of angle is 30

vertices 5 , measure of angle=108

From vertices 4 to 5 change in measure of angle is 18

Thus number of diagonals and Sum of all interior angles are the columns represent a linear relationship when compared with the independent variable.

Therefore there are 2 columns represent a linear relationship when compared with the independent variable.

Solution:

The equation of linear relationship is , y= k x

That is, [tex]\frac{y-value}{x-value}=k({\text{a constant})[/tex]

As, you can see that , ratio of

1.

[tex]\frac{\text{Sum of interior angles of a regular polygon}}{\text{number of sides of that polygon}}={\text{Measure of each interior angle of regular polygon}}[/tex]

2. Also, as number of sides increases, the smallest regular polygon is equilateral triangle(3 sides) , having 0, diagonal, the number of diagonal increases by 1.

→→Regular polygon having sides , n≥3=k, where k is number of diagonals=0,1,2,3,4,[ For example, for, n=3,k=1,n=4, k=2,...]

Column (2)

[tex]C_{4}-C_{3}=C_{3}-C_{2}=C_{2}-C_{1}=1[/tex]

Column (4)

[tex]C_{2}-C_{1}=90-60=30\\\\ C_{3}-C_{2}=108-90=18\\\\ C_{4}-C_{3}=120-108=12[/tex]

Column (3)

[tex]C_{4}-C_{3}=720-540=180\\\\ C_{3}-C_{2}=540-360=180\\\\ C_{2}-C_{1}=360-180=180[/tex]

In, Column (2) and Column(3) the difference between two consecutive values is same, while in column (4) difference between two consecutive values is not same.So, C(2) and C(3) shows linear relationship, column (4) do not.

Option (C) 2 is Right choice.

Answer:

He need to sell atleast 10 car to make atleast $2000.

Step-by-step explanation:

Given : Bryan sells cars. He makes a salary of $500 a week, plus $150 for every car he sells. This week, he wants to make at least $2000.

To find :  How many cars does he need to sell, Write an equation and solve.

Solution : He makes a salary = $500 per week .

     He gets for every car sell =  $ 150.

Let us consider the number of cars he need to sell = x.

Total cost for x car = $150 * x.

According to question  he wants to make atleast = $2000.

We will use" greater than or equal to "sign for atleast then equation become:

150x + 500 [tex]\geq[/tex] 2000.

Now, we need to solve the inequality for x :

On subtracting by 500 both sides

150x  [tex]\geq[/tex] 2000 -500.

150x  [tex]\geq[/tex] 1500.

On dividing by 150 both sides ,

x  [tex]\geq[/tex] 10.

Therefore, he need to sell atleast 10 car to make atleast $2000.

Answer:

k/2 − 3/5

Step-by-step explanation:

To simplify the expression 2/5k - 3/5k + 1/10k, we combine the like terms and simplify the fractions. The simplified expression is -1/10k.

To simplify the expression 2/5k - 3/5k + 1/10k, we can combine like terms. Like terms have the same variable raised to the same power. In this case, the variable is 'k'. So, combining the fractions, we get:

(2/5 - 3/5 + 1/10)k

Now, let's simplify the fractions:

Therefore, the simplified expression is -1/10k.

https://brainly.com/question/17359085

#SPJ2

Answer:

Greater than

Step-by-step explanation:

The function y=2x+5 is written in slope-intercept form, y=mx+b, where m is the slope (rate of change) and b is the y-intercept.  The slope in this function is 2.

The slope of the function in the table is given by the formula for slope:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Using the first two points, we have

m = (3-0)/(2--1) = 3/3 = 1

The rate of change is 1.  This is less than the first function, which means the rate of change of the function y=2x+5 is greater than the slope in the table.

The rate of change of  y=2x+5 is 2 which is greater than the rate of change in the table which is 1.

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

As per the given function,

y = 2x + 5

The slope-intercept form is given as, y = mx + c here m is the slope.

By comparing, slope = 2

As per the given table,

Slope = (difference in y's coordinate)/(difference in x's coordinate)

Slope = (3 - 0)/(2 - (-1)) = 3/3 = 1

Thus, slope of function is greater then the table.

Hence "Y=2x+5's rate of change is 2, which is higher than the table's rate of change of 1".

To learn more about the rate of change here,

brainly.com/question/12786410

#SPJ2

An equivalent expression for the given expression by combining like terms is 0.83b.

Given that, a student received a coupon for 17% off the total purchase price at a clothing store.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let b be the original price of the purchase.

So, new price =original price-17% of original price

⇒ new price =b - 17% of b

⇒ new price =b - 0.17b

= 0.83b

Therefore, an equivalent expression for the given expression by combining like terms is 0.83b.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

Answer:

The rate of change in the function y=x+4 is _Equal_ the rate of change of the function represented in the table.

The rational number 7/50 is not equivalent to the other numbers listed (75%, 3/4, 0.75) as it converts to a decimal value of 0.14, which is distinct from 0.75.

The question asks which rational number is not equivalent to the others: 75%, 3/4, 0.75, or 7/50. To determine this, we can convert all the numbers to a common format, such as decimals or fractions, and compare their values.

First, 75% is equivalent to 0.75, as percent means "per hundred," so 75% is 75 per 100, which can be written as 75/100 and simplified to 3/4 or 0.75. Next, 3/4 is exactly 0.75 when converted to a decimal. This means that these three are equivalent to each other.

However, 7/50 is a different case. When we convert 7/50 to a decimal, we get 0.14, which is evidently different from 0.75. Therefore, 7/50 is not equivalent to the other rational numbers listed.