There are 325 seventh graders in 12 classes. Determine the unit rate

What is 2.26 (6 repeating) as a fraction?

Gekata [30.6K]

Answer:

34/15

Step-by-step explanation:

I recognized the form of this decimal as a number divided by 3. However, when I multiplied it by 3, I got 6.8. This means that the fraction was not fully simplified. Multiplying by 5, I got 34. Since I had to multiply by 3 and then by 5 to get there, I multiplied by a total of 15. Hope this helps!

3 0

3 years ago

solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations. x-2y+

Alekssandra [29.7K]

Answer:

x = -5, y = -6, z = -3

Step-by-step explanation:

Given the system of three equations:

$\left\{\begin{array}{l}x-2y+3z=-2\\6x+2y+2z=-48\\x+4y+3z=-38\end{array}\right.$

Write the augmented matrix for the system of equations

$\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)$

Find the reduced row-echelon form of the augmented matrix for the system of equations:

$\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)\sim \left(\begin{array}{ccccc}1&-2&3&|&-2\\0&-14&16&|&36\\0&-6&0&|&36\end{array}\right)\sim \left(\begin{array}{ccccc}1&3&-2&|&-2\\0&16&-14&|&36\\0&0&-6&|&36\end{array}\right)$

Thus, the system of three equations is

$\left\{\begin{array}{r}x+3z-2y=-2\\16z-14y=36\\-6y=36\end{array}\right.$

From the last equation:

$y=-6$

Substitute it into the second equation:

$16z-14\cdot (-6)=36\\ \\16z=36-84\\ \\16z=-48\\ \\z=-3$

Substitute y = -6 and z = -3 into the first equation:

$x+3\cdot (-3)-2\cdot (-6)=-2\\ \\x=-2+9-12\\ \\x=-5$

7 0

3 years ago

A potato sorting machine produces 5 pounds of potatoes an average for the standard aviation is a half a pound assuming the weigh

mixas84 [53]

For a 95% confidence interval, the corresponding z-score is 1.96. Therefore the deviation will by 1.96*0.5 lbs = 0.98 lbs. Therefore, the confidence interval will be (5 - 0.98, 5 + 0.98), which is (4.02, 5.98). The weight range is from 4.02 lbs to 5.98 lbs.

5 0

3 years ago

Alex is practicing his dives at a pool. He dives from a dividing board that is 21 feet above the surface of the water. His dive

leonid [27]

Answer:

NO. Alex was wrong.

The total dive distance is 21 + 17 = 38 feet

Step-by-step explanation:

Alex was wrong because his direction of diving is from above the water through the surface of the water to under the water.

So his direction of travelling is not opposite but the same.

Therefore the total distance traveled by Alex = distance traveled from the diving board to the water surface + distance traveled from the water surface to down below the water

Distance traveled from the diving board to the water surface = 21 feet

Distance traveled from the water surface down below the water = 17 feet

Total distance traveled by Alex = 21 feet + 17 feet

= 38 feet.

Thus, Alex was wrong because the the total distance traveled by Alex was 38 feet.

6 0

3 years ago

Kimiya has four times as many marbles as Ramneet. If kimiya gave 18 to Ramneet they would have the same number. How many marbles

RSB [31]

Answer:

Kimiya has 48 marbles, Ramneet has 12 marbles

Step-by-step explanation:

kimiya has 4x marbles ramneet has x marbles then 4x - 18 = x + 18 because if you give 18 marbles from kimiya to ramneet then you subtract 18 from kimiya and add 18 to ramneet by solving the equation you will get x as 12.So kimiya has 48 marbles, ramneet has 12 marbles.

<h2 /><h2>Hope it helps.</h2><h3>Thank you.</h3>

7 0

2 years ago