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mrs_skeptik [129]
3 years ago
8

How many 1/4 inch lengths of rod can be cut from 3 1/2 inch rod

Mathematics
1 answer:
stepan [7]3 years ago
5 0

Answer:

14

Step-by-step explanation:

Shown in picture above.

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Conner and Jana are multiplying (3⁵6⁸)(3⁹6¹⁰).
ad-work [718]
<h3>Conner work is correct. Jana work is wrong</h3>

<em><u>Solution:</u></em>

<em><u>Given that,</u></em>

<em><u>Conner and Jana are multiplying:</u></em>

(3^56^8)(3^96^{10})

Given Conner's work is:

(3^56^8)(3^96^{10}) = 3^{5+9}6^{8+10} = 3^{14}6^{18}

We have to check if this work is correct

Yes, Conner work is correct

From given,

(3^56^8)(3^96^{10})\\\\3^5 \times 6^8 \times 3^9 \times 6^{10}

Use the following law of exponent

a^m \times a^n = a^{m+n}

Therefore,

3^5 \times 6^8 \times 3^9 \times 6^{10} = 3^5 \times 3^9 \times 6^8 \times 6^{10} = 3^{5+9} \times 6^{8+10} = 3^{14} \times 6^{18}

<em><u>Given Jana's work is:</u></em>

(3^56^8)(3^96^{10}) = 3^{5.9}6^{8.10} = 3^{45}6^{80}

This is incorrect

The powers of same base has to be added. But here, powers are multiplied which is wrong

7 0
3 years ago
In a beaded necklace 3/12, of the beads
Alexxandr [17]

Answer: 7/12 of the beads are blue and green

Step-by-step explanation: To make both denominators of fraction 3/12 and 1/3 equal, you have to change both denominators to the lowest common denominator. Since the LCD (lowest common denominator) is 12 you have to multiply 1/3 by 4 to make the two denominators match.

1/3 x 4/4= 4/12

Then to find the total fraction of both green and blue beads on the necklace, you simply have to add the two fractions together.

4/12+3/12= 7/12

hope this helps :)

4 0
3 years ago
​together, steve and tom sold 7777 raffle tickets for their school. steve sold 1414 more than twicetwice as many raffle tickets
storchak [24]
Steve = S , Tom = T
1) S+T = 7777
2) S= 1414 + 2T

put 2) in 1)

1414+2T + T = 7777
1414 +3T = 7777
3T = 6363
so T = 2121
then Steve sold 1414+2(2121) = 1414+4242=5656 tickets
while Tom sold 2121 tickets
5 0
4 years ago
Gary is typing out a document. The graph below shows the total number of words Gary types over time​
madreJ [45]
You need to show the graph
5 0
4 years ago
Find the soluations to (x+3)^2=49
Jobisdone [24]

Answer:

x = 4 , − 10

Step-by-step explanation:

3 0
3 years ago
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