Factor GCF (greatest common factor)

2k^2 + 7k

multiply 14 x 2.54

14 x 2.54 = 35.56 centimeters

To find the amount of syrup, multiply the amount of syrup per gallon by the number of gallons of soda. In this case, this would be 2 1/5 cups and 4 gallons.

2 1/5 x 4

(Changing the mixed number 2 1/5 to an improper fraction!)

11/5 x 4/1 = 44/5

(Change back to a mixed number after multiplying!)

8 4/5 cups of syrup

Hope this helps!! :)

The difference between Rodney's and Alex's baseball cards is 350.

Alex has 350 fewer baseball cards than Rodney.

Subtracting means to take away from a group or a number of things.

When we subtract, the number of things in the group reduces or becomes less.

We have,

The number of baseball cards Alex has:

= 175

The number of baseball cards Rodney has:

= 3 x 175

= 525

We need to find out how much Alex's cards are fewer than Rodney's cards so we find the difference between the number of cards between them.

The difference between Rodney's and Alex's baseball cards:

=  525 - 175

= 350

Thus Alex has 350 fewer baseball cards than Rodney.

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The solution is Option B.

The slope / average change in cow's production is m = - 1/120 gallons per day

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of the equation A is

For every 240 days of milking, cow's milk production decreases by 2

So , the value of y = 2 gallons

The value of x = 240 days

Now , the slope of the equation is given as

Slope m = y/x

And , The slope of a line is a measure of its steepness, slope is calculated as "rise over run" or change in y divided by change in x

Substituting the values in the equation , we get

Slope m = 2/240

Slope m = 1/120

Since the cow's milk production decreases by 2 , the slope will be negative

So , slope m = -1/120 gallons / day

Hence , the average change in cow's production is -1/120 gallons / day

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The height of the tree is 6.95 m

Two triangles are said to be similar triangles if their corresponding sides are in equal ratio and corresponding angles are congruent.

Given that, a road sign casts a shadow 14 meters long while a nearby tree casts a shadow 27.8 meters long and the road sign in 3.5 meters

Since, both the figures will be the similar triangles,

Then, by definition of similar triangles,

Therefore,

Let the height of the tree be x,

3.5 / 14 = x / 27.8

x = 6.95

Hence, the height of the tree is 6.95 m

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1 cup = 8 fluid ounces

6.5 cups x 8 = 52 fluid ounces

One and three hundred twenty four thousandths expressed as a decimal numeral is [tex]1.324[/tex].

To express "one and three hundred twenty four thousandths" as a decimal numeral, follow these steps:

Understand the components:

• "One" represents the whole number part.

• "Three hundred twenty four thousandths" represents the fractional part.

Express the whole number part as a decimal:

• The whole number "one" is simply [tex]1[/tex].

Convert the fractional part to a decimal:

• "Three hundred twenty four thousandths" means 324 out of 1000, which can be written as the fraction [tex]\frac{324}{1000}[/tex].

• To convert [tex]\frac{324}{1000}[/tex] to a decimal, divide 324 by 1000. This gives us [tex]0.324[/tex].

Combine the whole number and the fractional part:

• Add the whole number part [tex]1[/tex] to the fractional part [tex]0.324[/tex]. This results in [tex]1 + 0.324 = 1.324[/tex].

Answer: Each friend will get 0.527 pound of grapes.

Step-by-step explanation:

We are given that Joe bought 5.8 pounds of grapes to have as a snack with his 10 friends.

Total persons including Joe = 10+1= 11

If he shares his grapes evenly, then by division operation , we have

Number of pounds of grapes will each of his friends get will be

[tex]5.8\div11\approx0.527[/tex] pounds

Therefore, each friend will get 0.527 pounds of grapes.

Final answer:

To calculate the cost of 10 pencils when seven pencils cost $0.84, you find the price per pencil by dividing $0.84 by 7, which equals $0.12 per pencil. Then, multiply $0.12 by 10 to get the total cost of 10 pencils, which is $1.20.

Explanation:

To answer the question, we first need to find the cost of one pencil. Since seven pencils cost $0.84, we can divide that amount by seven to get the cost of one pencil.

Here is the calculation:

Cost of seven pencils = $0.84

Cost of one pencil = $0.84 ÷ 7

Cost of one pencil = $0.12

Now that we know the cost of one pencil, we can find the cost of 10 pencils by multiplying this amount by 10.

Here is the calculation:

Cost of 10 pencils = $0.12 × 10

Cost of 10 pencils = $1.20Therefore, the cost of 10 pencils is $1.20.

To solve the equation x - 6.8 = 356.3, add 6.8 to both sides to isolate x, resulting in x = 363.1.

To solve the equation x - 6.8 = 356.3, we need to isolate the variable x. To do this, we can add 6.8 to both sides of the equation, effectively moving the 6.8 from the left side to the right.

Step-by-step:

The value of x is 363.1.