Karen is writing a word problem that can be represented by the equation 2x + 3 = 13.
A bucket weights 2 grams and balls are put into it that each weight 3 grams. The total weight of the bucket and balls is 13 grams. How many balls are in the bucket?

Does her word problem fit the equation? Justify your response.

Bayley can hit a single golf ball every 5 minutes

Now Bayley can hit 42 golf balls in 3 1/2 hours

Thus converting the 3 1/2 hours in minutes:

3 hours +  1/2 hours = 180 minutes + 30 minutes = 210 minutes

Bayley can hit 42 golf balls in 210 minutes

Thus let's say she takes 'x' minutes to hit one ball

Calculating the value of 'x'  using direct proportion theorem:

[tex]\frac{x}{210}=\frac{1}{42}[/tex]

[tex]x*42 = 210[/tex]

[tex]x= \frac{210}{42}[/tex]

[tex]x = 5[/tex]

Thus Bayley can hit 5 golf balls every 1 minute

Answer: a) Fraction of the total sales did each salesperson sell:-

[tex]\text{Lola}=\frac{203}{537}[/tex]

[tex]\text{Ahmed}=\frac{154}{537}[/tex]

[tex]\text{Tommy}=\frac{180}{537}[/tex]

b) Each person receive=$33

Step-by-step explanation:

Given: The three salespeople for a local advertising firm are Lola, Ahmed, and Tommy.

Sales by Lola= $2030

Sales by Ahmed=$1540

Sales by Tommy=$1800

Thus, the total sales= $2030+$1540+$1800=$5370

Fraction of the total sales did each salesperson sell:-

[tex]\text{Lola}=\frac{\text{Sales by Lola}}{\text{total sales}}=\frac{2030}{5370}=\frac{203}{537}[/tex]

[tex]\text{Ahmed}=\frac{\text{Sales by Ahmed}}{\text{total sales}}=\frac{1540}{5370}=\frac{154}{537}[/tex]

[tex]\text{Tommy}=\frac{\text{Sales by Tommy}}{\text{total sales}}=\frac{1800}{5370}=\frac{180}{537}[/tex]

If $100 bonus was awarded to the three salespeople, then

Each person receive=[tex]\frac{\$100}{3}=33.33\approx\$33[/tex]

In the given equation y=4x+1, the independent variable is x, and the dependent variable is y. The independent variable is the cause, and the dependent variable is the effect. Therefore, any change in x will result in a change in y.

In the given equation y=4x+1, the independent variable is x and the dependent variable is y. This is because the value of x is not dependent on any other variable, while the value of y depends on x. The variable y is dependent because it changes in response to the value of x.

Conceptually, the independent variable is what you have control over or manipulate, and the dependent variable is what you observe or measure. For example, in the equation y = a + bx, a is the y-intercept, b is the slope, x is the independent variable, while y is the dependent variable that changes according to the value of x.

Simply put, the independent variable is the cause, and the dependent variable is the effect. In the context of this equation, any change in x (independent variable) will cause a change in y (dependent variable).

https://brainly.com/question/33409105

#SPJ12

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!

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.

https://brainly.com/question/21289786

#SPJ2

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.

Answer:  -9

Step-by-step explanation: Distribute: 2x - 6 + 1= 3x + 4. Combine like terms on the left side: 2x - 5 = 3x + 4. Subtract 2x from both sides: -5 = x + 4. Subtract 4 from both sides: x = -9.

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.

Learn more about arithmetic here:

brainly.com/question/11424589

#SPJ2

The length of one side of the square rug is found by taking the square root of the area of the rug, which is 80 square feet. The best approximation for this is 8.9 feet.

This problem is about understanding the relationship between the area and the length of a side in a square. In a square, all sides are equal in length, and the area of a square is given by the equation Area = side*side. So, if the area is given, we can find the length of a side by taking the square root of the area.

Here, since the area of the square rug is 80 square ft., we find the length of one side by calculating the square root of 80. The square root of 80 is approximately 8.9ft

So, looking at the options given, the best approximation for the length of one side of the rug is option C) 8.9ft.

https://brainly.com/question/33930998

#SPJ2

the regular price of the sofa is $684.61.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given, A sofa is on sale for $442, which is 35% less than the regular price.

Thus,

65% of the regular price  = 442

The regular price = 445*100/65

Thus, Regular price =  $684.61

Therefore, the regular price of the sofa is $684.61.

Learn more about percentages here:

https://brainly.com/question/29306119

#SPJ1