Gracie can purchase 5 oranges for $4 but she only wants one what is the cost of one orange

Answer:

E2020

Step-by-step explanation:

The four successive terms of the given ap series by rule [tex]a_{n}[/tex] = 4 - 2n will be 2, 0, -2, and -4.

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

The arithmetic progression has wider use in mathematics for example sum of natural numbers.

Natural number = 1,2,3,4,5,6,7,8...

Now it has the same difference between any two consecutive terms d =2-1 = 3-2.

Given the rule for nth term of ap series

[tex]a_{n}[/tex] = 4 - 2n

Now,

First term (n = 1) ⇒ 4 - 2(1) = 2

Second term  (n =2) ⇒ 4 - 2(2) = 0

Third term (n = 3)  ⇒ 4 - 2(3) = -2

Fourth term (n = 4)  ⇒4 - 2(4) = -4

Hence "The four successive terms of the given ap series by rule [tex]a_{n}[/tex] = 4 - 2n will be 2, 0, -2, and -4.".

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Answer:

y - 5 = 3 . (x - 2)

Step-by-step explanation:

A linear equation can be written in point-slope form.

y - y₁ = m. (x- x₁)

where

x is the independent variable

y is the dependent variable

(x₁, y₁) is an ordered pair representing a point through which the line passes

m is the slope

Given the slope is 3 (m = 3) and the line passes through the point (2, 5) (x₁ = 2, y₁ = 5), we can write the point-slope form of the linear equation.

y - 5 = 3 . (x - 2)

I think this might correspond to b, although it should have a parenthesis to be correct.

Answer: its actually -384 and I TOOK THE TEST I promise !!!

Step-by-step explanation:

The correct answer is that Kersha worked as an office clerk for 35 hours and as a cashier for 20 hours.

To solve this problem, we can set up a system of equations based on the information given. Let's denote the number of hours Kersha worked as an office clerk as [tex]\( x \)[/tex] and the number of hours she worked as a cashier as [tex]\( y \).[/tex]

From the problem statement, we know the following:

1. Kersha earns $12.00 per hour at her office job.

2. Kersha earns $8.25 per hour at her cashier job.

3. Kersha worked a total of 55 hours in one week.

4. Kersha earned a total of $585 in one week.

Using this information, we can write two equations:

For the total number of hours worked:

[tex]\[ x + y = 55 \][/tex] (Equation 1)

For the total earnings:

[tex]\[ 12x + 8.25y = 585 \][/tex] (Equation 2)

Now we have a system of two equations with two variables. We can solve this system using substitution or elimination. Let's use the substitution method.

First, we can solve Equation 1 for [tex]\( x \):[/tex]

[tex]\[ x = 55 - y \][/tex]

Now we substitute [tex]\( x \)[/tex] in Equation 2 with [tex]\( 55 - y \):[/tex]

[tex]\[ 12(55 - y) + 8.25y = 585 \][/tex]

Expanding the equation, we get:

[tex]\[ 660 - 12y + 8.25y = 585 \][/tex]

Combining like terms, we get:

[tex]\[ -3.75y = 585 - 660 \][/tex]

[tex]\[ -3.75y = -75 \][/tex]

Dividing both sides by -3.75 to solve for [tex]\( y \)[/tex], we get:

[tex]\[ y = \frac{-75}{-3.75} \][/tex]

[tex]\[ y = 20 \][/tex]

Now that we have the value of [tex]\( y \)[/tex], we can find [tex]\( x \)[/tex] using Equation 1:

[tex]\[ x = 55 - y \][/tex]

[tex]\[ x = 55 - 20 \][/tex]

[tex]\[ x = 35 \][/tex]

Therefore, Kersha worked 35 hours as an office clerk and 20 hours as a cashier. The correct option is:

Office clerk: 35 hours; cashier: 20 hours.

Let us say Samantha spends $x for her school at lunch every week.

We are given that she can spend as much as $15 every week for her school at lunch every week.

As much as stands for maximum quantity that she can spend.

So $15 is the maximum she can spend.

Writing an inequality,

[tex] x \leq 15 [/tex]

So the rows are read from left to right, now down. This is probably a little late to be answering this, but see how the top row say 4 6 5? 4 quarters = 100, 6 dimes = 60, 5 nickels = 25, all together is 185. It's just asking you to fill in the blanks to make each row equal $1.87. So for pennies, you would put 2 to make 185+2 = 187 or $1.87. I was confused looking at this too. I was staring at it for an hour and I googled to see how other people answered this.

Answer: Disjoint

Step-by-step explanation: Selecting specific colors in a m&m's pack is disjoint because the events cannot occur at the same time, i.e., when you take one m&m's, it can be blue and orange at the same time.

To determine the probability of disjoint or mutually exclusive events, you can find their probability by adding the probability of each event.

In the question, it is asked the probability of selecting a blue or an orange.

Probability of a blue:

P(b) = [tex]\frac{11}{51}[/tex]

Probability of an orange:

P(o) = [tex]\frac{11}{51}[/tex]

Probability of one OR the other:

P(b OR o) = P(b) + P(o)

P(b OR o) = [tex]\frac{11}{51} + \frac{11}{51}[/tex]

P(b OR o) = [tex]\frac{22}{51}[/tex]

P(b OR o) ≈ 0.44 or 44%

The probability of blue or orange m&m's is 44%, and the events are disjoint.

According to the provided probabilities on the M&M's website, the probability of choosing a blue or an orange M&M is a combined 44%. These outcomes are described as discrete, as they are distinct and countable events in the context of probabilities.

The question is based on probabilities related to the distribution of M&M colors in a package, particularly focusing on the number of orange M&Ms and the number of yellow M&Ms. When analyzing the distribution of M&M colors, we utilize concepts from statistics such as uniform distribution and binomial distribution to assess the likelihood of pulling a particular color from a bag. If the M&Ms had a uniform distribution, we would expect each color to appear with equal probability; however, the provided probabilities for each color do not align with a uniform distribution.

In the long run, the probability of selecting a blue or an orange M&M is 44% combined, based on the provided percentages on the M&M's website (24% blue and 20% orange). These outcomes are discrete, as they represent distinct countable outcomes. The terms 'finite', 'disjoint', and 'discrete' are all descriptions of different characteristics of statistical outcomes. 'Finite' refers to a set that has a limited number of outcomes, 'disjoint' indicates that the events cannot happen at the same time, and 'discrete' encompasses outcomes that are countable and not continuous.

Answer:

It is b

Step-by-step explanation:

You need to round 15.78 to get 16. You then multiply 16 to 15 and divide by 100 to get your answer :

2.4

Which would also be $2.40

No, Dwayne is not correct.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

Dwayne wants to buy a bowling ball that has a price of $120.

And, As a member of a bowling league, he is entitled to a 15% discount off the price of the bowling ball. He will also have to pay 6% sales tax on the discounted price of the bowling ball.

Now,

Here, Dwayne wants to buy a bowling ball that has a price of $120.

Hence, After 15% discount the price is,

⇒ 15% of 120

⇒ 15 x 120 / 100

⇒ $18

Hence, After discount the price is,

⇒ 120 - 18

⇒ $102

And, He will also have to pay 6% sales tax on the discounted price of the bowling ball.

Hence, The price of ball is,

⇒ $102 + 6% of 102

⇒ $102 + $6.12

⇒ $108.12

Since, Dwayne thinks that the final price of the bowling ball can be determined by taking 9% off the original price.

Hence, We can formulate;

⇒ $120 - 9% of 120

⇒ $120 - 10.8

⇒ $109.2

Thus, Dwayne is not correct.

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Final answer:

To calculate the total cost of Marty and Breanna's meal including tax and tip, add a 6% tax and a 15% tip to the original bill of $18.37 to get a total of $22.23.

Explanation:

To find the total cost of the meal for Marty and Breanna including tax and tip, we first calculate the tax. Since the tax rate is 6%, we convert that to a decimal (0.06) and multiply by the total cost of the meal ($18.37):

0.06 × $18.37 = $1.10 (rounded to the nearest cent).

Next, we calculate the tip, which is 15% of the pre-tax meal cost. We turn 15% into a decimal (0.15) and multiply by the meal cost:

0.15 × $18.37 = $2.76 (rounded to the nearest cent).

To find the total amount paid including tax and tip, we add all the amounts together:

$18.37 + $1.10 + $2.76 = $22.23

So, the total cost of the meal including tax and tip is $22.23.

Answer:

Answer is d

Step-by-step explanation:

sorry that im 4 years late

Answer:

27

Step-by-step explanation:

Because 3 plus 7 equals 12 plus another 9 equals 27

The width of the rectangular table top is 27 inches.

The correct answer is option (B).

A = l × w, where 'l' is the length and 'w' is the width of the rectangle

For given question,

The rectangular top of Karim's table has an area of [tex]3^7[/tex] square inches and a length of [tex]3^4[/tex] inches.

[tex]\Rightarrow A =3^7~sq.in.~,l=3^4~in.[/tex]

Using the formula for the area of the rectangle,

[tex]\Rightarrow A=l\times w\\\\\Rightarrow 3^7=3^4\times w\\\\\Rightarrow w=\frac{3^7}{3^4}\\\\ \Rightarrow w=3^7\times 3^{-4}\\\\\Rightarrow w=3^{7-4}\\\\\Rightarrow w=3^3\\\\\Rightarrow w=27~in.[/tex]

Therefore, the width of the rectangular table top is 27 inches.

The correct answer is option (B).

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