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DochEvi [55]
3 years ago
5

Sophia determined that the expression Negative (4 x minus 5) + 2 (x minus 3) is equivalent to –2x – 5 by using the steps below.

Mathematics
2 answers:
MatroZZZ [7]3 years ago
7 0

it's  C

: I      <-- this is a face)

its dat simple

CaHeK987 [17]3 years ago
3 0

Answer:Hope This Helps ☺️

Step-by-step explanation:

She is not correct because she did not substitute the same number in both expressions in Step 1

Step-by-step explanation:

CASE 1: substitute 1 for x to both sides of the equations

L.H.S

-(4x-5)+2(x-3)

-(4 (1) - 5)+ 2(1-3) = - (-1) + 2(-2) = 1 - 4 = -3

R.H.S

-2x - 5

-2(1) - 5 = -2-5 = -7

Hence for x= 1

-(4x-5)+2(x-3) ≠ -2x -5

Because -3 ≠ -7

CASE 2: substitute -1 for x to both sides of the equations

L.H.S

-(4x-5)+2(x-3)

-(4 (-1) - 5)+ 2(-1-3) = - (-9) + 2(-4) = 9 - 8 = 1

R.H.S

-2x - 5

-2(-1) - 5 = 2-5 = -3

Hence for x= -1

-(4x-5)+2(x-3) ≠ -2x -5

Because 1 ≠ -3

Answer:

She is not correct because she did not substitute the same number in both expressions in Step 1

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Llen's score in a video game was changed by −50 points because he missed some targets. He got −10 points for each missed target.
Nookie1986 [14]
Llen missed 5 targets, this is because -50 divided by -10 equals 5. Hope this helps! <3
6 0
3 years ago
A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 5% real fruit juice and Drink B
Romashka [77]

Answer:

a). 12.5 liters of real fruit juice would be needed to produce 250 liters of Drink A, and 20 liters of real fruit juice would be needed to produce 250 liters of Drink B

b). 0.05aa liters of real fruit juice would be needed to produce aa liters of Drink A, and 0.1bb liters of real fruit juice would be needed to produce bb liters of Drink B  

Step-by-step explanation:

a). Drinks A(250 liters) and Drink B(200 liters)

Total amount of Drink A=250 liters

Real fruit juice=5% of Drink A=(5/100)×250=12.5 liters

12.5 liters of real fruit juice would be needed to produce 250 liters of Drink A

Total amount of Drink B=200 liters

Real fruit juice=10% of Drink B=(10/100)×200=20 liters

20 liters of real fruit juice would be needed to produce 250 liters of Drink B

b). Drinks aa and bb

Total amount of Drink A=aa liters

Real fruit juice=5% of Drink A=(5/100)×aa=0.05aa liters

0.05aa liters of real fruit juice would be needed to produce aa liters of Drink A

Total amount of Drink B =bb liters

Real fruit juice=10% of Drink 10=(10/100)×bb=0.1bb liters

0.1bb liters of real fruit juice would be needed to produce bb liters of Drink B

5 0
4 years ago
Tiles (6" by 6") can be installed at the rate of 50 per worker hour. The floor of a large lobby area (80’ by 40’) is to be cover
RideAnS [48]

Answer:

Step-by-step explanation:

Tiles (6" by 6") can be installed at the rate of 50 per worker hour. Since the tile is a square, its area is

L^2 = 6^2 = 36 inches square

So in an hour, a worker installs 50 tiles whose area is 36 inches square. Total square meters installed per hour will be 50 × 36 = 1800 inches square per hour.

If three workers are assigned to this task, their work rate will be

1800 × 3 = 5400 inches square per hour.

The floor of a large lobby area (80’ by 40’) is to be covered with these tiles. We would convert from feet to inches.

1 foot = 12 inches

80 feet = 80 × 12 = 960 inches

40 feet = 40 × 12 = 480 inches

Area of the lobby = 90 × 480 = 460800 inches square.

If the 3 workers install 5400 inches square in 1 hour,

Then then they will install 460800 inches square in

460800/5400 = 85.33 hours

Converting to the nearest whole day, it becomes

85.33/24 = 3.55

Approximately 4 days

4 0
3 years ago
18.50x2.6 what is the answer helppppp!!!!!!!!!!!!!!
ser-zykov [4K]

Answer:

48.1

Explanation:

Remove Decimals & Multiply

1850 · 26

= 4810

18.5 Has One Decimal Places

2.6 Has One Decimal Place

Move The Decimal Over Two Places

4810 \rightarrow 48.1

6 0
3 years ago
Read 2 more answers
Is 8d + 4w and 1/2(8d+4w) equivalent
DiKsa [7]

Answer:no

Step-by-step explanation:

Because there is a one half in front of the second one and if the one half wasn’t there,then it would be equivalent bc they are the same number.

8 0
3 years ago
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