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jeka57 [31]
3 years ago
8

Use the terms 4, 12a 6 2a and 24 to make equivalent expressions use each term only once use substitution to prove that the expre

ssions are equivalent
Mathematics
1 answer:
Vanyuwa [196]3 years ago
4 0

Answer:

12a + 24 = 6(2a + 4)

Step-by-step explanation:

Given the numbers :

4, 12a 6 2a and 24 ; create an equivalent expression :

12a, 2a, 4, 6, 24

We could separate tbe constant terms and those with variables :

12a, 2a ; 6, 4, 24

We could put the larger digit to one side

12a + 24 = 6(2a + 4)

This way the Right hand side is equal to the left hand side.

Check:

12a + 24 = 6(2a + 4)

12a + 24 = 12a + 24

Hence, the proof

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Tom [10]

Answer:

25 = 9y+3

Transposing (3) to the L.H.S.:

= 25-3 = 9y

= 22 = 9y

Transposing (9) to L.H.S.:

= 22÷9 = y

= 2.444444444444444.......................

= 2.44

6 0
3 years ago
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Five more than twice a number is -13. Find the number.<br><br>helpp
likoan [24]

2n+5 = -13

subtract 5 from each side

2n +5-5 = -13 -5

2n = -18

divide each side by 2

n = -18/2

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8 0
3 years ago
Quadrilateral CAMP below is a rhombus. the length PQ is (x+2) units, and the length of QA is (3x-14) units. Which statements bes
valentinak56 [21]

Answer:

<h3>Q cuts the diagonal PA into 2 equal halves, since the diagonals of rhombus meet at right angles.</h3><h3>The value of x is 8.</h3>

Step-by-step explanation:

Given that Quadrilateral CAMP below is a rhombus. the length PQ is (x+2) units, and the length of QA is (3x-14) units

From the given Q is the middle point, which cut the diagonal PA into 2 equal halves.

By the definition of rhombus, diagonals meet at right angles.

Implies that PQ = QA

x+2 = 3x - 14

x-3x=-14-2

-2x=-16

2x = 16

dividing by 2 on both sides, we will get,

x =\frac{16}{2}

<h3>∴ x=8</h3><h3>Since Q cuts the diagonal PA into 2 equal halves, since the diagonals of rhombus meet at right angles we can equate x+2 = 3x-14 to find the value of x.</h3>

The line segment \overrightarrow{PA}=\overrightarrow{PQ}+\overrightarrow{QA}

\overrightarrow{PA}=x+2+3x-14

=4x-12

=4(8)-12 ( since x=8)

=32-12

=20

<h3>∴ \overrightarrow{PA}=20 units</h3>
3 0
3 years ago
at the beginning of school, we had 40 algebra books. We increased our supply by 65%. how many algebra books does the school have
valentina_108 [34]
The answer is 95 i guess
6 0
3 years ago
Pam and her sister have a pattern of saving money. Pam saved 40 dollars and her brother saved 100 dollars.
Keith_Richards [23]

Answer:

true

Step-by-step explanation:

Pam saved 40

her bro saves 100

let us take this as ration 40 is to 100 which can also be written in fractional for like 40/100 now we simplify it how by dividing both by 20 so (40/20)/(100/20) which will give 2/5 which can be written as 2 is to 5 so this is true

8 0
3 years ago
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