Suppose a dog can run 60 feet in 8 seconds. A cat can run 35 feet in 5 seconds. Which animal can run faster

Write an equation for the line (4,7) and ( 1,1)2. Write an equation for the graph

Nastasia [14]

ANSWER:

$y=2x-1$

STEP-BY-STEP EXPLANATION:

We have that the equation in its slope-intercept form is the following:

$\begin{gathered} y=mx+b \\ m\text{ is the slope and b is the y-intercept } \end{gathered}$

The slope can be calculated as follows:

$m=\frac{y_2-y_1}{x_2-x_1}$

We use the points (4,7) and (1,1) to calculate the slope:

$m=\frac{1-7}{1-4}=\frac{-6}{-3}=2$

Now, we calculate the value of b, using the point (1,1) and the slope, like this:

$\begin{gathered} 1=1\cdot2+b \\ b=-2+1 \\ b=-1 \end{gathered}$

Therefore, the equation would be:

$y=2x-1$

5 0

10 months ago

the total weight of 6 pieces of butter and a bag of sugar is 3.8 Ib. if the weight of the bag of sugar is 1.4 Ib, what is the we

baherus [9]

0.4 lbs each.

<h3>Further explanation</h3>

Given: 

The total weight of 6 pieces of butter and a bag of sugar is 3.8 Ib.
The weight of the bag of sugar is 1.4 Ib

Question: 

What is the weight of each piece of butter?

The Process: 

The two steps for obtaining the weight of each piece of butter are as follows:

Step-1: the total amount of butter is the total bag of butter and sugar subtracted by the weight of the bag of sugar.

$\boxed{ \ 3.8 \ lbs - 1.4 \ lbs = 2.4 \ lbs \ }$

Step-2: the total amount of butter divided by the number of pieces of butter is the the weight of each piece of butter.

$\boxed{ \ 2.4 \ lbs \div 6 \ pieces = \boxed{ \ 0.4 \ lbs/piece \ } \ }$

Let's also consider the following quick steps.

Quick steps:

$\boxed{ \ \frac{(3.8 - 1.4) \ lbs}{6 \ pieces} = \boxed{ \ 0.4 \ lbs/piece \ } \ }$

Therefore, the weight of each piece of butter is 0.4 lbs.

<h3>Learn more </h3>

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Keyword: the total weight, 6 pieces of butter, a bag of sugar is 3.8 Ib, if the weight of the bag of sugar is 1.4 Ib, each piece, subtracted, divide

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2 years ago

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The area of a square is given by x2, where x is the length of one side. Mary's original garden was in the shape of a square. She

Viefleur [7K]

$2( {x}^{2} )$

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3 years ago

What fraction of 1 pint is 1 cup

Aleonysh [2.5K]

The answer is that the fraction of 1/2 pint is 1 cup. To solve this you must know the equivalence between pints and cups, and use the notion of proportions. Two cups equal one pint. Then you can state this proportion: 1 pint / 2 cups = x pint / 1 cup. When you solve for x you get: x = 1/2. Which means that 1 cup is 1/2 of 1 pint.

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3 years ago

Use the algebra tiles to model x – 3. Then complete the statements. The variable is represented by Subtracting three is represen

Arte-miy333 [17]

The complete statements are as follows;

The variable is represented by one orange x tiles.

Subtract three is represented by three blue - tiles.

The tiles represent subtraction 3 from an unknown number.

<h3>What are algerbra tiles?</h3>

Algebra tiles are square and rectangle shaped tiles or tiles that represent numbers and variables.

Given

Use the algebra tiles to model x -3.

The complete statements are as follows;

The variable is represented by one orange x tiles.

Subtract three is represented by three blue - tiles.

The tiles represent subtraction 3 from an unknown number.

To know more about algerbra tiles click the link given below.

brainly.com/question/81876

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1 year ago