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2 years ago

Joan has 1/2 yard of felt. She will use 1/3 of it to make place cards. How much felt will she will use for place cards?

1 answer:

7 0

ANSWER

$\frac{1}{6} \: yards$

EXPLANATION

It was given that, Joan has

$\frac{1}{2} \: yard \: of \: felt$

and she will use

$\frac{1}{3}$
of it to make place cards.

We want to find how felt she will use for place cards.

We just have to find,

$= \frac{1}{3} \: of \: \frac{1}{2}$

$= \frac{1}{3} \times \frac{1}{2}$

$= \frac{1}{6}$

Therefore Joan will use

$\frac{1}{6}$

yards of felt for the place cards.

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Answer:

True.

Step-by-step explanation:

The explicit form for an arithmetic sequence is:

$a_n=a_1+d(n-1)$

where $a_1$ is the first term and $d$ is the common difference.

The common difference here is 2 because the y's are going up by 2 while the x's are going up by 1.

Yes, the common difference is the slope.

So we have d=2.

The first term is 9.5 because that is what happens when x=1.

x is n.

y is $a_n$ .

So the answer is true.

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You can also verify by plugging in numbers for n and see if you get the outputs mentioned in the pairs given:

Let n=1:

$a_1=9.5+2(1-1)$

$a_1=9.5+2(0)$

$a_1=9.5+0$

$a_1=9.5$

Let n=2:

$a_2=9.5+2(2-1)$

$a_2=9.5+2(1)$

$a_2=9.5+2$

$a_2=11.5$

Let n=3:

$a_3=9.5+2(3-1)$

$a_3=9.5+2(2)$

$a_3=9.5+4$

$a_3=13.5$

Let n=4:

$a_4=9.5+2(4-1)$

$a_4=9.5+2(3)$

$a_4=9.5+6$

$a_4=15.5$

Let n=5:

$a_5=9.5+2(5-1)$

$a_5=9.5+2(4)$

$a_5=9.5+8$

$a_5=17.5$

Let n=6:

$a_6=9.5+2(6-1)$

$a_6=9.5+2(5)$

$a_6=9.5+10$

$a_6=19.5$

We have confirmed that we get all 6 of the mentioned points using the equation they gave.

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Answer:

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Step-by-step explanation:

Given

The points

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To determine:

The slope of this graph

Determining the slope between (0, 0) and (1, 2)

(x₁, y₁) = (0, 0)

(x₂, y₂) = (1, 2)

Using the formula

Slope = m = [y₂ - y₁] / [x₂ - x₁]

= [2 - 0] / [1 - 0]

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Answer:

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Step-by-step explanation:

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To find:

Total time taken to eat all the possible cheeseburgers = ?

Solution:

First of all, we need to find out what all possible number of cheeseburgers can be made using the given number of ingredients.

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And this number of choices are nothing but the number of types of ingredients available.

So, total number of cheeseburgers possible = 12 $\times$ 7 $\times$ 4 $\times$ 3 = 1008

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