a strip of wood 78 inches long is to be cut into pieces of 3 and 3/4 inches

a strip of wood 78 inches long is to be cut into pieces of 3 and 3/4 inches long how many pieces can be cut

2 months ago

Solution 1

Guest Guest #8299
2 months ago
Namely, how many times does 3¾ go into 78?  well, is just their quotient.

let's firstly convert the mixed fraction to "improper", and then divide,

\bf \stackrel{mixed}{3\frac{3}{4}}\implies \cfrac{3\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{15}{4}}\\\\
\cfrac{\quad 78 \quad }{\frac{15}{4}}\implies \cfrac{\quad \frac{78}{1} \quad }{\frac{15}{4}}\implies \cfrac{78}{1}\cdot \cfrac{4}{15}\implies \cfrac{26}{1}\cdot \cfrac{4}{5}\implies \cfrac{104}{5}\implies 20\frac{4}{5}

so, if we nevermind the 4/5 part, only 20 whole of those then.

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Solution 1
First, figure out the percentage of students that said math is their favorite subject in the 80 student sample.
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Solution 2


Step 1: Choose (x1, y1). (6,3)

Step 2: x2= -1 y2=2

Step 3: 1/7

Step 4: b= 15/7

What is the equation of the line in slope-intercept form?

B) y=1/7x+15/7

Step-by-step explanation:

The bold numbers are the answers.

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Step-by-step explanation:

The above answer is correct just remember to put it in decimal form.

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Which of the following is not an appropriate unit for acceleration?


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Solution 1

Using a system of equations, it is found that Tripp weighs 42 pounds and Rico weighs 7 pounds.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

  • Variable x: Tripp's weight.
  • Variable y: Rico's weight.

Tripp weighs exactly 35 pounds more than Rico, hence:

x = 35 + y.

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Hence, Tripp weighs 42 pounds and Rico weighs 7 pounds.

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Solution 2
Call the weights of the two dogs t and r.

We know that Tripp weights 35lbs more than Rico, or:

We also know that the total weight of both dogs is 49lbs.:

Now, by substitution:
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Tripp weighs 42lbs.

To check our work:
49=49  CHECK!