There are 9 redgumdrops,10 yellow gumdrops,and 15 orange gumdrops in a bag what is the ratio of gumdrops to red gumdrops in the bag?

After calculating the total reduction in the bank account balance, it was determined that each of the two equal checks cashed was for the amount of $140.41.

The problem at hand is a simple algebra question where we are solving for the amount of each check cashed when a bank account balance changes from a positive balance to a negative one.

Firstly, we must establish the initial and final bank balance amounts before and after the checks are cashed. We know that the beginning balance was $235.24 and after cashing two identical checks, the balance becomes -$45.58. The total reduction in the bank account reflects the total amount of the two checks combined.

To find the total reduction, we subtract the final balance from the initial balance:

Total reduction = Initial balance - Final balance

Total reduction = $235.24 - (-$45.58) = $235.24 + $45.58 = $280.82

Since there were two checks with equal amounts, we divide the total reduction by two to find the amount of each check:

Amount per check = Total reduction / 2

Amount per check = $280.82 / 2 = $140.41

Therefore, the amount of each check was $140.41.

Final answer:

Carlos can divide his 24-inch string into 3 equal parts by solving the equation 3x = 24, which gives each part a length of 8 inches.

Explanation:

Carlos has a string that is 24 inches long and wants to divide it into 3 equal parts. To find how long each part will be, we can represent the unknown length of each part by the variable ? (which we will replace with x for the equation). The equation we can write for this scenario is 3x = 24.

To solve for x, we divide both sides of the equation by 3:

So, each part of the string will be 8 inches long.

Answer:

The overall change is -250 feet. 50 times 5 is 250 feet, and the mountain climber descended. Therefore, the change is -250 feet in elevation.

Step-by-step explanation:

Answer:

the overall changes is -250 its descended 50×5=250

Step-by-step explanation:

The quotient of 10.52 is greater than 10 for 60 / 5.7.

Given that,
To justify whether tim estimates that 60÷5.7 is about 10. Will the actual quotient be greater than or less than 10

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Dividend = 60
Divisor = 10
Now,
= 60/ 5.7
= 10.52 = quotient which is greater than 10

Thus,  the quotient of 10.52 is greater than 10 for 60 / 5.7.

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Answer:

The product of 10 and the difference of 76 and 14 is 90

Step-by-step explanation:

90 - 14 = 76

76 + 14 = 90

90 - 10 = 80

I really tried to understand and came to this conclusion but I hope it helps I guess!

Answer:

Step-by-step explanation:use the greatest common factor of 28 and 68 would give you 4

Final answer:

To find the solution set for the inequality x - 5 > -10, add 5 to both sides resulting in x > -5; hence the solution set is {x | x ∈ R, x > -5}.

Explanation:

The student is asking for the solution set for the inequality x - 5 > -10. To solve for x, we need to isolate the variable on one side of the inequality. Add 5 to both sides of the inequality to achieve this:

This means that the value of x must be greater than -5. We can represent this solution set as {x | x ∈ R, x > -5}, where R represents the set of all real numbers.

Comparing this solution to the given options, it is clear that the correct solution set is the second one: {x | x ∈ R, x > -5}.

Answer:

I got the same answer 30 degress different

The volume of a sphere can be calculated using the formula V = (4/3)πr³, where π can be approximated as 3.14 for simpler calculations. Volume is proportional to the cube of the radius, so if the radius changes significantly, the volume adjusts correspondingly by the cube of the factor of change.

To calculate the volume of a sphere using the value 3.14 for pi, you can apply the formula V = (4/3)πr³. If the radius of the sphere is 'r', you would plug in the value of 'r' into this formula. Next, you would multiply the result by 4/3 and then by 3.14 in place of π to get the volume. It's important to note that the volume of the sphere increases proportionally to the cube of the radius, meaning if the radius changes by a factor of 10, the volume changes by a factor of 10³ or 1000.

Using a linear function, it is found that the value is: y = 32.

A linear function has the following format:

[tex]y = mx + b[/tex]

In which:

In this problem, when [tex]x = 0, y = 0[/tex], and thus, the y-intercept is [tex]b = 0[/tex].

Then

[tex]y = mx[/tex]

She also plots the point (14, 448), which means that when [tex]x = 14, y = 448[/tex], and this is used to find m.

[tex]14m = 448[/tex]

[tex]m = \frac{448}{14}[/tex]

[tex]m = 32[/tex]

Hence, the linear function is:

[tex]y = 32x[/tex]

Then, when x = 1, the point is (1,y), and:

[tex]y = 32(1) = 32[/tex]

The y-value is y = 32.

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To express 5/8 as a decimal, divide 5 by 8 to get 0.625.

To express the fraction 5/8 as a decimal, you must divide the numerator (5) by the denominator (8). When you do the division, the result is 0.625.

Here's it in steps:

Take the numerator (5).

Divide it by the denominator (8).

The result is 0.625, which is the decimal form of 5/8.

To express 5/8 as a decimal, you need to divide the numerator (5) by the denominator (8).

5 divided by 8 is equal to 0.625.

So, 5/8 is equivalent to 0.625 as a decimal.

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The cost of 8 cups of lemonade would be $14.40

Price of lemonade :

price per cup:

for 3 cups:

for 4 cups:

for 5 cups:

for 6 cups:

for 7 cups:

for 8 cups:

Therefore , the cost of 8 cups of lemonade is $14.40

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The expression that will represent Cindy’s bill is 0.95(1.09m + 2.79n). Hence, the correct option is D. 0.95(1.09m + 2.79n).

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

It is given that store sells 12-packs of ballpoint pens for $1.09 each.

The store also sells composition books for $2.79 each.

Cindy buys 'm' packs of ballpoint pens and 'n' composition books.

So, the equation for this becomes

1.09m + 2.79n

Cindy gets a 5% discount, so she has to pay 95% of the regular price.

Then the expression that will represent Cindy’s bill,

0.95(1.09m + 2.79n)

Hence, the correct option is D. 0.95(1.09m + 2.79n).

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