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stira [4]
3 years ago
9

Which property justifies the statement if y = 7, then 7 = y?

Mathematics
1 answer:
poizon [28]3 years ago
7 0
It is the symmetric property
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How many weeks will it take Justin to save $133 if he saves $9.50/wk? Derive a complete equation to model the problem. Use w to
Anettt [7]
Let w be the unknown number of weeks. The total amount that Justin saves is the product of the amount he saves every week and the number of weeks. That is,
                                  ($9.50) x w = $133
Rearranging the equation for w,
                                              w = $133 / $9.50
Thus, the answer is 14. 
4 0
4 years ago
30. What is the solution to the system of equations? (1 point)
sesenic [268]

Answer:

Option B) (-1,7,5) is correct.

The solution to the given system of equation is (-1,7,5)

Step-by-step explanation:

Given system of equations are

-7x-2y+z=-2\hfill (1)

6x-y-z=-18\hfill (2)

5x+4y-z=18\hfill (3)

To find the solution of the given system of equations by using Elimination method:

Now adding equations (1) and (2)

-7x-2y+z=-2

6x-y-z=-18

_________________

-x-3y=-20

________________

-x-3y=-20

-(x+3y)=-20

x+3y=20\hfill (4)  (since "-" getting cancelled)

Now adding equations (1) and (3)

-7x-2y+z=-2

5x+4y-z=18

_________________

-2x+2y=16

________________

-2x+2y=16

2(-x+y)=16

-x+y=8\hfill (5)

Now adding equations (4) and (5)

x+3y=20

-x+y=8

_________________

4y=28

________________

y=\frac{28}{4}

Therefore y=7

Substituting y=7 in equation (4)

x+3y=20

x+3(7)=20

x+21=20

x=20-21

Therefore x=-1

Now substituting the values x=-1 and y=7 in equation (1) we get

-7x-2y+z=-2

-7(-1)-2(7)+z=-2

7-14+z=-2

z=-2+7

Therefore z=5

Therefore the solution to the given system of equation is (-1,7,5)

Therefore Option B) (-1,7,5) is correct.

8 0
3 years ago
On a map, 1 inch represents 20 miles. The distance between two towns is 6 whole number 1/5 inches. How many miles are actually b
ValentinkaMS [17]

Answer:

124 miles.

Step-by-step explanation:

From the question given above, the following data were obtained:

1 in = 20 miles

6 1/5 in =?

Next, we shall express 6 1/5 in decimal for easy calculation . This can be obtained as follow:

6 1/5 = 31 / 5

6 1/5 = 6.2 in

Finally, we shall convert 6.2 in to miles. This can be obtained as follow:

1 in = 20 miles

Therefore,

6.2 in = 6.2 in × 20 miles / 1 in

6.2 in = 124 miles

Thus, 6 1/5 in is equivalent to 124 miles.

Therefore, there are 124 miles between the two towns.

3 0
3 years ago
Noemi wants to divide 2x2−x+4 by x−5 using synthetic division. Which answer shows the correct process
qaws [65]

The 4th option is the correct answer.

Explanation:

Here we will place the opposite of the number of the divisor in the top left box. Now we will bring down the coefficient of the squared term or 2. Now, we will multiply the number in the top left box or 5 with the times of the coefficient of the squared term. This gives 10 and we will place 10 in the second column. This column now contains -1 and 10 and adding these we get 9. Now we will multiply 5 with the result of the second column or 9 to get 45, We will place 45 in the third column which already has 4, and adding both we get 49.

8 0
3 years ago
Read 2 more answers
Express 0.64 as a fraction in lowest term? <br><br> A. 64/10<br> B.5/32<br> C.4/5<br> D.16/25
Elanso [62]

In its decimal form, it says  ' 64 / 100 '.

In order to change it to its lowest terms, we look to see whether the
numerator and denominator have a common factor greater than ' 1 '. 
If they do, then we can divide numerator and denominator by their
common factor, and have the same fraction in lower terms.

The common factors of  64  and  100  are  1,  2, and  4 .
We could divide top and bottom by 2, but that wouldn't finish the job. 
It's always best to divide them by their <u>greatest</u> common factor, and
once you do that, you're done.

Dividing the numerator and denominator both by  4,
we get the fraction in its lowest terms:

         0.64  =  64/100  =  <em>16/25</em>


5 0
4 years ago
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