evaluate the algebraic expression 6g - 11 =8

Final answer:

Bella can write her 10 journal entries in 6 different ways by partitioning the number 10 into ones and twos and considering the different combinations of pages that can have one or two entries.

Explanation:

This problem can be solved by considering the journal entries as distinct objects and the pages as slots that can contain either one or two entries. Therefore, we need to find the number of partitions of the number 10 into ones and twos, which are the number of ways to write 10 as the sum of ones and twos.

To solve this problem systematically, we can start with the case where all 10 entries are on separate pages (10 ones), and then reduce the number of ones by two and increase the number of twos by one until we can no longer do so.

For example, the different ways could be (with '1' representing a single entry on a page and '2' representing two entries on a page):

1+1+1+1+1+1+1+1+1+1 (10 ones, 0 twos)

2+1+1+1+1+1+1+1+1 (8 ones, 1 two)

2+2+1+1+1+1+1+1 (6 ones, 2 twos)

2+2+2+1+1+1+1 (4 ones, 3 twos)

2+2+2+2+1+1 (2 ones, 4 twos)

2+2+2+2+2 (0 ones, 5 twos)

Therefore, Bella can write her 10 journal entries in 6 different ways.

Bella can write her journal entries in 6 different ways.

To solve this problem, let's consider the different combinations of pages Bella could use for her journal entries. Since some pages will have one entry and others will have two, we'll use a combination of single-entry pages and double-entry pages.

Let's denote:

x = number of single-entry pages

y = number of double-entry pages

Given that Bella wants to make a total of 10 entries, the equation representing this constraint is:

x + 2y = 10

Now, let's find the possible values of x and y that satisfy this equation:

1. x = 0, y = 5

2. x = 2, y = 4

3. x = 4, y = 3

4. x = 6, y = 2

5. x = 8, y = 1

6. x = 10, y = 0

Therefore, there are 6 different combinations of pages Bella can use for her journal entries.

Total number of ways = 6

Answer:

to be honest ima bit confused buuuuuut

Step-by-step explanation:

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Answer:

12 servings.

Step-by-step explanation:

We have been Joanna mixed 1/4 gallon of orange juice and 1/2 gallon of pineapple juice to make punch.

First of all, we will find amount of punch by adding amount of orange juice and pineapple juice as:

[tex]\text{Amount of punch}=\frac{1}{4}+\frac{1}{2}[/tex]

Make a common denominator:

[tex]\text{Amount of punch}=\frac{1}{4}+\frac{1*2}{2*2}[/tex]

[tex]\text{Amount of punch}=\frac{1}{4}+\frac{2}{4}[/tex]

[tex]\text{Amount of punch}=\frac{1+2}{4}[/tex]

[tex]\text{Amount of punch}=\frac{3}{4}[/tex]

Now, we will divide total amount of punch by amount of each serving to find number of servings.

[tex]\text{Number of servings}=\frac{3}{4}\div \frac{1}{16}[/tex]

Convert to multiplication problem by flipping the 2nd fraction:

[tex]\text{Number of servings}=\frac{3}{4}\times \frac{16}{1}[/tex]

[tex]\text{Number of servings}=3\times 4[/tex]

[tex]\text{Number of servings}=12[/tex]

Therefore, Jonna can make 12 servings of punch shake.

The total cost of an item that sells for $12 with an 8% sales tax is calculated by multiplying the price by the sales tax rate to get the sales tax amount, which is then added to the original price. The total cost comes out to $12.96.

To find the total cost of an item that sells for $12 with an 8% sales tax, you need to first convert the sales tax rate to a decimal and then multiply by the cost of the item. In this case, 8% as a decimal is 0.08.

The formula to calculate the amount of sales tax is:

Amount of sales tax = price ×rate of sales tax

So for a $12 item:

$12 ×0.08 = $0.96

This is the amount of sales tax for the item. To find the total cost, you have to add the sales tax to the original price:

$12 + $0.96 = $12.96

Final answer:

Carol has 90 inches of ribbon, Tino has 4.5 feet, and Baxter has 2.5 yards. The total length of the ribbon the three friends have is 234 inches, 19.5 feet, and 6.5 yards.

Explanation:

To express the total length of the ribbon, we need to convert each friend's measurement to inches, feet, and yards.

Carol has 90 inches of ribbon.

Tino has 4.5 feet of ribbon. Since there are 12 inches in a foot, we can calculate Tino's measurement in inches by multiplying 4.5 feet by 12 inches/foot, which gives us 54 inches.

Baxter has 2.5 yards of ribbon. Since there are 3 feet in a yard and 12 inches in a foot, we can calculate Baxter's measurement in inches by multiplying 2.5 yards by 3 feet/yard and 12 inches/foot, which gives us 90 inches.

Therefore, the total length of ribbon the three friends have in inches is 90 + 54 + 90 = 234 inches.

To convert this to feet, we can divide 234 inches by 12, which gives us 19.5 feet.

To convert this to yards, we can divide 234 inches by 36, which gives us 6.5 yards.

The partial product of 4.6 and 3.5 is calculated by breaking each number into whole numbers and decimals, multiplying each part separately, resulting in 16.1 as the product.

Partial products is a method in multiplication. It involves the breaking down of numbers into their place values and then multiplying each part separately. For 4.6 x 3.5, first split the numbers into their whole numbers and decimal parts: 4 + 0.6 and 3 + 0.5.

Then, calculate the products individually:

Add these partial products together:

12 + 2 + 1.8 + 0.3 = 16.1

So, the product of 4.6 x 3.5 through partial products is 16.1.

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Answer:

1/26

Step-by-step explanation:

got right on usa test prep

In 768, the 6 is in the tens place, representing sixty. The breakdown of values in each digit helps clarify its placement in the overall number.

Step by Step Solution:

In the number 768, the digit 6 represents the value found in the tens place. This means that the 6 in 768 is multiplied by 10 to get its actual value, which is 60.

So, in 768, the 6 contributes sixty to the total value of the number.

Jeanette cannot have $936 in her checking account and satisfy the given ratios.

To solve this problem, we can set up a proportion using the given ratios and the initial amount of money in Jeanette's checking account. The initial ratio is 1:6 and the new ratio is 4:3. Let's represent the amount of money in Jeanette's checking account as x.

According to the initial ratio, the amount of money in her savings account is 1/6 × x = x/6.

According to the new ratio, the amount of money in her savings account is 4/3 × x.

Setting these two expressions for the amount of money in her savings account equal to each other, we get:

x/6 = 4/3 × x

Multiplying both sides of the equation by 6 to eliminate fractions, we get:

x = 8/1 × x

Dividing both sides of the equation by x to solve for the ratio, we get:

1 = 8/1

Since 1 is not equal to 8/1, we have a contradiction. Therefore, there is no solution to the problem as initially stated. It is not possible for Jeanette to have $936 in her checking account and satisfy the given ratios.

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The question explores how to organize function values, highlighting the definition and uniqueness of functions in mathematics. Functions can be represented through tables, graphs, and formulas, facilitating the understanding of complex relationships between inputs and outputs. The concept also ties into broader mathematical principles, exemplifying the importance of functional representation in logical and analytical reasoning.

Can be used to organize function values? The concept of organizing and managing function values is central in mathematics, especially when dealing with functions in algebra and calculus. A function is essentially a set of ordered pairs, where each element in the domain (input) is associated with exactly one element in the range (output). This uniqueness criteria distinguish a function from a general relation. For instance, a set containing pairs like (3,2) and (5,2) represents a valid function since each input maps to a single output, even if multiple inputs share the same output.

Functions can be organized or represented in multiple ways, including tables, graphs, formulas, or mappings of inputs to outputs as seen in function B, where arguments (inputs) are mapped onto unique values (outputs). This method emphasizes the power of function composition where functions call other functions, enriching the idea that mathematics often builds up complex ideas from simpler ones.

Furthermore, the versatility of functions allows them to encapsulate broader concepts, illustrated by the characteristic function of a set, showcasing how functional representation can offer a more convenient and general approach compared to set membership. This approach is significant in various mathematical fields, including the functional analysis of set theories and logic, underlining the functional representation's impact on understanding and interpreting rules.

Maya has 20 stamps in her collection, and four-fifths of them have been canceled. Therefore, 16 stamps in Maya's collection have been canceled.

Maya has 20 stamps in her collection, and four-fifths of them have been canceled. To find out how many stamps have been canceled, you would multiply the total number of stamps by the fraction that has been canceled.

Calculate 4/5 of 20 stamps: 20 x 4/5 = 16 stamps.

Therefore, 16 stamps in Maya's collection have been canceled.

Marcos will have $81 left to spend after allocating certain percentages of his $300 earnings to lawn equipment repairs, savings, and canvas.

Marcos earned $300 mowing lawns this month. According to the given percentages, Marcos will allocate his earnings in the following manner:

To calculate the remaining amount that Marcos will have to spend, we need to sum up the allocated percentages and subtract from 100%:

Remaining percentage = 100% - (18% + 20% + 35%)

Remaining percentage = 100% - 73% = 27%

Now we can find the amount corresponding to 27% of his earnings:

Remaining amount to spend = 27% of $300

Remaining amount to spend = 0.27 x $300 = $81

Therefore, Marcos will have $81 left to spend after he has allocated money for repairs, savings, and canvas.

Answer: The expression that represents Cindy´s bill is 0.95(1.09m + 2.79n).

Step-by-step explanation:

Hi, to find the correct expression we have to analyze the information given:

Packs of ballpoint pens = m

Price of ballpoint pens=$1.09 each

Composition books= n

Price of composition books = $2.79 each

Discount 5%

Cindy buys m packs of ballpoint pens and n composition books. To represent this statement in an equation we have to multiply each quantity of the items bought by the price of each item.

So, mathematically speaking

1.09m + 2.79n

Now, to apply the 5% percent discount we have to multiply the whole expression by 0.95.  

0.95(1.09m + 2.79n)

In conclusion, the expression that represents Cindy´s bill is 0.95(1.09m + 2.79n).

Feel free to ask for more if it´s necessary or if you did not understand something.

Answer:

the answer is

Step-by-step explanation:

2/3

Answer:

C.

Step-by-step explanation:

We are given,

The temperature on the graph starts at 0 degrees and decreases by 12 degrees every hour.

Now, according to the options:

A. In this figure, the temperature starts from a point between ( 10,20 ) and not from 0. So, this is not correct.

B. In this figure, the temperature starts from the point 3 and not from 0. So, this is not correct.

D. In this figure, the temperature starts from 0 but it is decreasing by 1 degree every hour, which is not according to the given statement. So, this is also not correct.

C. In this figure, the temperature starts from 0 and it is decreasing appears to be decreasing by 12 degree every hour. Thus, it represents the given statement.

Hence, figure C is the correct option.