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Morgarella [4.7K]
3 years ago
5

Simplify the algebraic expression -2(x - 3) + 4(-2x + 8)

Mathematics
1 answer:
dangina [55]3 years ago
7 0
The answer to this equation is :-10x+38 because
-2x(x-3)+4(-2x+8)
(-2x+6)+(-8x+32)
(-2x+6)(-8x+32)
-2x+6-8x+32
-10x+38
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Susan has 10 pockets and 44 dollar bills. She wants to arrange the money so that there are a different number of dollars in each
levacccp [35]

Answer:

No

Step-by-step explanation:

The answer is no because no pocket can be empty and there isn't enough money to satisfy the condition. At least, one dollar must be stored in each pocket but the number (integer) of dollars in each pocket is different.

Let's store the minimum amount of dollars in the pockets while satisfying the condition. Place 1 dollar in the first pocket. The second pocket must have 2 dollars (it can't be 1 dollar, it must be a different number of dollars). The third pocket must have third dollars.

Repeating this process, the ninth pocket must have 9 dollars. At this moment, we have arranged 1+2+3+4+5+6+7+8+9=45 dollars in our pockets. But we only had 44 dollars! Plus, the tenth pocket is still empty.

If you store more dollars on the first, second, nth pockets, you will just run out of money more quickly than in our process above. so it's impossible to arrange the money in such way.

8 0
3 years ago
One edge of a cube is measured and found to be 13 cm. the volume of the cube in m3 is ________.
slavikrds [6]
Since a cube is defined to have the same measurement in all three dimensions, it's volume can be calculated by raising the measurement of one side to the power of three.

In the problem we are given a measurement in centimeters and we are tasked to find the volume in m³. To make the calculation easier, we can just convert the measurement immediately since we know 100cm = 1m. Following this conversion, 13cm will be equal to 0.13m.

For the volume we'll get: 0.13^{3}=0.002197 cubic meters or 2.197*10^{3} cubic meters if you are more comfortable expressing it in scientific notation.
7 0
3 years ago
Physics
Andrej [43]

Answer:

a) Josef jogging from A to B;

i. speed = 2 m/s

ii. velocity = 2m/s

a) a) Josef jogging from A to C;

speed = 1.9 m/s

ii. velocity = 2.2 m/s

Step-by-step explanation:

One major difference between speed and velocity is that speed is a scalar quantity, while velocity is a vector quantity.

a) Josef jogging from A to B;

distance = 300 m

time = 2.5 seconds = 150 seconds

i. his average speed = \frac{distance}{time}

                               = \frac{300}{150}

                               = 2 m/s

ii. his average velocity = \frac{displacement}{time}

                               = \frac{300}{150}

                               = 2 m/s

b) Josef jogging from A to C,

distance = 300 + 100 = 400 m

time = 2.5 + 1 = 3.5 minutes

        = 210 seconds

i. his average speed = \frac{distance}{time}

                                  = \frac{400}{210}

                                  = 1.9 m/s

ii. his average velocity = \frac{\sqrt{V_{1} ^{2}   + V_{2} ^{2} } }{2}

V_{1} ^{2} = 4 m/s

V_{2} ^{2} = 1.9 m/s

his average velocity = \frac{\sqrt{4^{2} + 1.9^{2}  } }{2}

                                  = 2.2 m/s

5 0
2 years ago
If x = 2 and y = 3, then 4x​
wariber [46]

Answer: 8

Step-by-step explanation: Substituting x for 2 since we know the value, 4(2) is 8.

8 0
2 years ago
Read 2 more answers
Mrs. Spina bought 4 boxes of 8 pork chops. She set aside 12 and separated the rest into packs of4 to freeze. How many packs of c
allsm [11]

Step-by-step explanation:

Number of pork chops Mrs Spina bought =

Number of boxes x number of pork chops per box

= 4x8

= 32

Number of Pork chops to freeze = 32 - 12 (set aside) = 20

Number of packs of pork chops to freeze = Number of pork chops to freeze / pork chops per pack

= 20/4

= 5 packs.

7 0
2 years ago
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