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3 years ago

13

How many 2/3s are in six

1 answer:

juin [17]3 years ago

6 0

Answer:

9

Step-by-step explanation:

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Mr. Arnold covers his bathroom floor with identical tiles. The area of the floor is 72 square feet. It takes more than 72 tiles

777dan777 [17]

The tiles are identical, so you would need them to fit exactly.
if he uses 144 tiles to cover the floor, the area would be 72/144 = 0.5 square feet
this is just one example

4 0

2 years ago

A surveyor in a canyon takes measurements and draws the diagram shown.

Fiesta28 [93]

Answer:

$\approx 118.4$

Step-by-step explanation:

We know two sides and the angle between the sides, so we can use the Law of Cosines. Recall that the Law of Cosines states that:

$c^2=a^2+b^2-2abcos(C)$ , where a and b are the sides and C is the angle in between.

Let's substitute 115 for a, 178 for b, and 41 for Angle C.

Thus:

$c^2=115^2+178^2-2(115)(178)cos(41)$

$c^2=44909-40940cos(41)$

$c=\sqrt{44909-40940cos(41)}$

$c \approx 118. 4$

5 0

2 years ago

in science class 2/3 of the students have a sister. Of the students who have a sister 1/2 have a brother which model shows the f

faust18 [17]

Answer:

1/3

Step-by-step explanation:

4 0

2 years ago

X+y+z=12<br> 6x-2y+z=16<br> 3x+4y+2z=28<br> What does x, y, and z equal?

lianna [129]

Answer:

x = 20/13 , y = 16/13 , z = 120/13

Step-by-step explanation:

Solve the following system:

{x + y + z = 12 | (equation 1)

6 x - 2 y + z = 16 | (equation 2)

3 x + 4 y + 2 z = 28 | (equation 3)

Swap equation 1 with equation 2:

{6 x - 2 y + z = 16 | (equation 1)

x + y + z = 12 | (equation 2)

3 x + 4 y + 2 z = 28 | (equation 3)

Subtract 1/6 × (equation 1) from equation 2:

{6 x - 2 y + z = 16 | (equation 1)

0 x+(4 y)/3 + (5 z)/6 = 28/3 | (equation 2)

3 x + 4 y + 2 z = 28 | (equation 3)

Multiply equation 2 by 6:

{6 x - 2 y + z = 16 | (equation 1)

0 x+8 y + 5 z = 56 | (equation 2)

3 x + 4 y + 2 z = 28 | (equation 3)

Subtract 1/2 × (equation 1) from equation 3:

{6 x - 2 y + z = 16 | (equation 1)

0 x+8 y + 5 z = 56 | (equation 2)

0 x+5 y + (3 z)/2 = 20 | (equation 3)

Multiply equation 3 by 2:

{6 x - 2 y + z = 16 | (equation 1)

0 x+8 y + 5 z = 56 | (equation 2)

0 x+10 y + 3 z = 40 | (equation 3)

Swap equation 2 with equation 3:

{6 x - 2 y + z = 16 | (equation 1)

0 x+10 y + 3 z = 40 | (equation 2)

0 x+8 y + 5 z = 56 | (equation 3)

Subtract 4/5 × (equation 2) from equation 3:

{6 x - 2 y + z = 16 | (equation 1)

0 x+10 y + 3 z = 40 | (equation 2)

0 x+0 y+(13 z)/5 = 24 | (equation 3)

Multiply equation 3 by 5:

{6 x - 2 y + z = 16 | (equation 1)

0 x+10 y + 3 z = 40 | (equation 2)

0 x+0 y+13 z = 120 | (equation 3)

Divide equation 3 by 13:

{6 x - 2 y + z = 16 | (equation 1)

0 x+10 y + 3 z = 40 | (equation 2)

0 x+0 y+z = 120/13 | (equation 3)

Subtract 3 × (equation 3) from equation 2:

{6 x - 2 y + z = 16 | (equation 1)

0 x+10 y+0 z = 160/13 | (equation 2)

0 x+0 y+z = 120/13 | (equation 3)

Divide equation 2 by 10:

{6 x - 2 y + z = 16 | (equation 1)

0 x+y+0 z = 16/13 | (equation 2)

0 x+0 y+z = 120/13 | (equation 3)

Add 2 × (equation 2) to equation 1:

{6 x + 0 y+z = 240/13 | (equation 1)

0 x+y+0 z = 16/13 | (equation 2)

0 x+0 y+z = 120/13 | (equation 3)

Subtract equation 3 from equation 1:

{6 x+0 y+0 z = 120/13 | (equation 1)

0 x+y+0 z = 16/13 | (equation 2)

0 x+0 y+z = 120/13 | (equation 3)

Divide equation 1 by 6:

{x+0 y+0 z = 20/13 | (equation 1)

0 x+y+0 z = 16/13 | (equation 2)

0 x+0 y+z = 120/13 | (equation 3)

Collect results:

Answer: {x = 20/13 , y = 16/13 , z = 120/13

8 0

2 years ago

A print shop purchases a new printer for $25,000. The equipment depreciates at a rate of 5% each year. The relationship between

bogdanovich [222]

To complete the table, just use the given equation to solve for the corresponding values of y. and i think the formula is wrong, it should be
y = <span>25,000 • 0.95^x</span>

at x = 1
<span>a0 = y = 25,000 • 0.95^x
</span>a0 = <span>25,000 • 0.95^(1)
a0 = 23750.00

at x = 2
a1 = </span>y = <span>25,000 • 0.95^x
a1 </span>= <span>25,000 • 0.95^( 2 )
a1 = 22562.50

at x = 3
a2 = </span>y = <span>25,000 • 0.95^x
a2 = </span> <span>25,000 • 0.95^( 3 )
a2 = 21434.38
</span>

3 0

2 years ago