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Mnenie [13.5K]
3 years ago
15

Alberto uses the steps below to solve the equation One-half x minus 3 equals 7. Step 1: One-half x minus 3 plus 3 equals 7 plus

3 Step 2: One-half x plus 0 equals 10 Step 3: One-half x equals 0 Step 4: 2 (one-half) x equals 2 (10) Step 5: 1 x equals 20 Step 6: x equals 20 Which justifies Step 6 of his work? the addition property of equality the identity property of addition the multiplication property of equality the identity property of multiplication
Mathematics
2 answers:
-BARSIC- [3]3 years ago
6 0

Answer:

Answer:

Identity property of multiplication

Step-by-step explanation:

Given

Step 5: 1x = 20

Step 6: x = 20

Required

Property that justifies step 6

Annette [7]3 years ago
5 0

Answer:

Identity property of multiplication

Step-by-step explanation:

Given

Step 5: 1x = 20

Step 6: x = 20

Required

Property that justifies step 6

It should be noted that step 6 is a result of step 5.

So, basically the question is asking for the property applied on step 5.

Given that step 5 is: 1x = 20

The property applied is the identity property of multiplication.

This is so because this property states that when 1 is multiplied to an equation, the result remains the same.

Hence;

When 1 is multiplied to x (i.e. 1x), the result is still x.

So, 1x = 20 at step 5 gives x = 20 at step 6

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Help and explain !!!!( Solve using the substitute method )
alex41 [277]

Answer:

x=13

y= -9

(13, -9)

Step-by-step explanation:

If we are solving using the substitution method, we can take the first equation and set it to y so y=4-x.

Then, we can take that equation and plug it into the bottom one so

3x+4(4-x)=3

Simplify:

3x+16-4x=3

-x=-13

x=13

We can then plug 13 into any of the two given equations (I am just going to plug it into the top one)

So, 13+y=4 which y= -9

5 0
3 years ago
Emily has $3.15 worth of dimes and quarters. She has twice as many dimes as quarters. Determine the number of dimes and the numb
Cerrena [4.2K]

Answer:

The number of dimes is <u>14</u> and the number of quarters is <u>7</u>.

Step-by-step explanation:

Given:

Emily has $3.15 worth of dimes and quarters.

<em><u>She has twice as many dimes as quarters.</u></em>

Now, to determine the number of dimes and the number of quarters.

Let the number of quarters be x.

And the number of dimes be  2x.

So, the total worth of dimes and quarters = $3.15.

Now, to get the number of dimes and quarters:

According to question:

0.10(2x)+0.25x=3.15

0.20x+0.25x=3.15

0.45x=3.15

<em>Dividing both sides by 0.45 we get:</em>

x=7.

<em>Thus, the number of quarters</em> = 7.

<em>So, the number of dimes</em> = 2x=2\times 7=14.

Therefore, the number of dimes is 14 and the number of quarters is 7.

6 0
3 years ago
QUESTION AND ANSWER IN IMAGE!
eduard
That would be Graph C

The  solution is where the 2 graphs intersect  At A and B.  
x + y + 2 = 0  transforms to  y = -x - 2 which has slope -1 and  y-intercept of -2
as in Graph C.
8 0
3 years ago
The formula for the area of a circle is A =pie r 2. Classify the area of a circle with a radius of 0.75 centimeters as either ra
MA_775_DIABLO [31]
It is irrational.

A = π r^2 = π[3/4 cm]^2 = 9π/16 cm^2

An irrational number (Pi in this case) multiplied by a rational number (9/4) gives an irrational number.
4 0
3 years ago
Read 2 more answers
Need help ASAP !!!!<br> Solve for y
GarryVolchara [31]

Answer:

y=8.94

Step-by-step explanation:

use the formula: a^2+b^2=c^2

64+y^2=144

y=\sqrt{80}

or y=8.94

8 0
2 years ago
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