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Oksana_A [137]
3 years ago
6

How many 1/3 inch pieces can be cut from 7/15 of an inch long

Mathematics
1 answer:
lapo4ka [179]3 years ago
8 0

Answer:

1.4

Step-by-step explanation:

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Galena is solving the following system. 3x+2y+3z =5 7x+y +7z=-1 4x-4y-z=-3
babymother [125]

Answer:

She did not multiply equation 3 in step 2 by the correct value.

Step-by-step explanation:

Given:

3x+2y+3z=5\\7x+y+7z=-1\\4x-4y-z=-3

In order to solve this, we need to eliminate any one variable and then form a simultaneous equation with the remaining two variables. Then, we nee to solve the simultaneous equation.

Here, Galena is trying to eliminate the variable z first.

Step 1:  She multiplies equation (3) by 3 and adds it to equation (1)

Let us multiply equation (3) by 3

(4x-4y-z=-3)\times 3 = (3\times 4x)-(3\times 4y)-(3\times z)=3\times -3\\(4x-4y-z=-3)\times 3 =12x-12y-3z=-9

Now, adding this to equation 1 will cancel out z terms.

12x-12y-3z+3x+2y+3z=-9+5\\(12x+3x)+(-12y+2y)+(3z-3z)=-4\\15x-10y+0=-4

Now, she need to make one more equation in x\ and \ y.

Step 2: She multiplies equation (3) by -7 and adds it to equation (2)

Multiplying equation (3) by -7 will give,

(4x-4y-z=-3)\times -7 = (-7\times 4x)-(-7\times 4y)-(-7\times z)=-7\times -3\\(4x-4y-z=-3)\times 3 =-28x+28y+7z=21

Now, adding this to equation 2 will not cancel out z terms.

-28x+28y+7z+7x+y+7z=21-1\\(-28x+7x)+(28y+y)+(7z+7z)=20\\-21x+29y+14z=20

So, she makes mistake in step 2 as the z terms are not being cancelled.

6 0
3 years ago
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Find the product -1(-15) . Oh and also -1(-24) pls help
Romashka-Z-Leto [24]

Answer:

15 and 24

Step-by-step explanation:

3 0
3 years ago
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Determine the value of angle x and angle y
ss7ja [257]

Answer:

80

Step-by-step explanation:

Sum of interior angles of a polygon = (n-1)x180= (6-2)x180=720

Since this looks like a regular hexagon each interior angle =720/6=120

Hence the inside angle touching the line is 120 (inside the hexagon)

Since one side of the hexagon is parallel to the line, y and 20 form adjacent angle, sum 180,

Then y= 180-20=160

Then x=360-(160+120)=80 because sum of all angles round a point=360

5 0
3 years ago
HELP! let f(x) = 7x - 4. what is f(6)
Karolina [17]

Answer:

the answer was 38 sorry

Step-by-step explanation:

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3 years ago
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A construction worker needs to put a rectangular window in the side of a building. He knows from measuring that the top and bott
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17 feet opposite sides of a rectangle are equal
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