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3 years ago

13

jodie made 8 sandwiches and cut each one into 4 equal pieces to make finger sandwiches. she wants to divide the finger sandwiche

s into 2 big plates . how many finger sandwiches will she put on each tray ?

2 answers:

Anna11 [10]3 years ago

6 0

The answer is 16........

cricket20 [7]3 years ago

4 0

8 sandwiches cut into 4 pieces each gives you 32 pieces.
32 pieces divided into 2 plates equals 16 on each plate.

8×4 = 32
32/2=16

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What is the multiplicative inverse of 5 in z11, z12, and z13? you can do a trial-and-error search using a calculator or a pc?

grin007 [14]

A multiplicative inverse of an integer a is an integer x such that the product ax is congruent to 1 with respect to the modulus m.

1. $Z_{11}=\{\overline{0},\overline{1},\overline{2},\overline{3},\overline{4},\overline{5},\overline{6},\overline{7},\overline{8},\overline{9},\overline{10}\}.$

Check:

$5\cdot 0=\overline{0};$
$5\cdot 1=\overline{5};$
$5\cdot 2=\overline{10};$
$5\cdot 3=15=\overline{4};$
$5\cdot 4=20=\overline{9};$
$5\cdot 5=25=\overline{3};$
$5\cdot 6=30=\overline{8};$
$5\cdot 7=35=\overline{2};$
$5\cdot 8=40=\overline{7};$
$5\cdot 9=45=\overline{1};$
$5\cdot 10=50=\overline{6}.$

The multiplicative inverse of 5 in $Z_{11}$ is 9.

2. $Z_{12}=\{\overline{0},\overline{1},\overline{2},\overline{3},\overline{4},\overline{5},\overline{6},\overline{7},\overline{8},\overline{9},\overline{10},\overline{11}\}.$

Check:

$5\cdot 0=\overline{0};$
$5\cdot 1=\overline{5};$
$5\cdot 2=\overline{10};$
$5\cdot 3=15=\overline{3};$
$5\cdot 4=20=\overline{8};$
$5\cdot 5=25=\overline{1};$
$5\cdot 6=30=\overline{6};$
$5\cdot 7=35=\overline{11};$
$5\cdot 8=40=\overline{4};$
$5\cdot 9=45=\overline{9};$
$5\cdot 10=50=\overline{2};$
$5\cdot 11=55=\overline{7}.$

The multiplicative inverse of 5 in $Z_{12}$ is 5.

3. $Z_{13}=\{\overline{0},\overline{1},\overline{2},\overline{3},\overline{4},\overline{5},\overline{6},\overline{7},\overline{8},\overline{9},\overline{10},\overline{11},\overline{12}\}.$

Check:

$5\cdot 0=\overline{0};$
$5\cdot 1=\overline{5};$
$5\cdot 2=\overline{10};$
$5\cdot 3=15=\overline{2};$
$5\cdot 4=20=\overline{7};$
$5\cdot 5=25=\overline{12};$
$5\cdot 6=30=\overline{4};$
$5\cdot 7=35=\overline{9};$
$5\cdot 8=40=\overline{1};$
$5\cdot 9=45=\overline{6};$
$5\cdot 10=50=\overline{11};$
$5\cdot 11=55=\overline{3};$
$5\cdot 12=60=\overline{8}.$

The multiplicative inverse of 5 in $Z_{13}$ is 8.

8 0

3 years ago

Three sevenths of a children's choir are boys. If there are 12 boys in the choir, how many children, c, total are in the choir?

ruslelena [56]

Answer:

Here c represents the total number of children in choir.

As per the statement:

Total number of boys in choir = 12

It is also given that: Three sevenths of a children's choir are boys.

⇒ Total number of boys = $\frac{3}{7} c$

or

$12 = \frac{3}{7}c$

By cross multiply we have;

84 = 3c

Divide both sides by 3 we have;

c = 28

Therefore, the total number of children in choir is 28 children

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Answer:

30mins

Step-by-step explanation:

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3 years ago

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Answer:

I’m pretty sure that’s - 11/3 .

Step-by-step explanation:

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Tom has 28 milk chocolates and Emily has 24 dark chocolates. They have to divide these chocolates into small packets that each h

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Answer: The answer is 4

Step-by-step explanation: In this problem, all you have to do is find the GCF and that is the max amount

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