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valkas [14]
3 years ago
5

Solve the equation by finding the missing variable. 3/2(x + 4/3)=11

Mathematics
1 answer:
ddd [48]3 years ago
4 0
3/2(x+4/3) = 11

distribute the 3/2
3/2x + 12/6 = 11
3/2x + 2 = 11
subtract the 2
3/2x = 9
multiply both sides by 2
3x = 18
divide by 3
x = 6
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Kellen bought new fish for her home aquarium. She bought 4 turquoise guppies and 3 sunburst tetra GLO fish and spent a total of
FromTheMoon [43]

Answer: A single turquoise guppy costs $3.69

Step-by-step explanation:

Let us use "x" to represent the amount a single turquoise is sold and use "y" to represent that of the Glo fish.

Since Kellen bought 4 guppies and 3 glo fishes for $41.73:

4x + 3y = 41.73 --------eqn 1

Similarly, Danielle purchased 3 guppies and 5 Glo fish for $56.02:

Therefore 3x + 5y = $56.02 -----eqn2

The 2 equations are;

4x + 3y = 41.73 (eqn 1)

3x + 5y = 56.02 (eqn 2)

We then solve the simultaneous equations using substitution method:

From eqn 1,

4x + 3y = 41.73

4x = 41.73 - 3y

x = (41.73 - 3y)/4

Substitute x for (41.73 - 3y)/4 in eqn2.

3[(41.73 - 3y)/4 + 5y = 56.02

11y + 125.19 = 224.08

11y =98.89

y = 98.89/11

y = $8.99

So, 1 Glo fish costs $8.99

Then, substitute "y" for 8.99 in equation 1

4x + (3×8.99) = 41.73

4x + 26.97 = 41.73

4x = 41.73 - 26.97

4x = 14.76

x = 14.76/4

x = $3.69

Therefore 1 turquoise guppy costs $3.69

5 0
2 years ago
A money bank has twice as many nickels as dimes. There is exactly $2.00 in the bank. How many nickels are there?
Makovka662 [10]
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Step-by-step explanation:

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4 0
3 years ago
What is the measure of the complement of an angle that measures 57°?
Scorpion4ik [409]

Complementary angles add up to 90 degrees.

The complement of 57 is (90 - 57) = 33 degrees.


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3 years ago
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3 years ago
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