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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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shtirl [24]

Answer:

The vehicle can drive 450 miles.

Step-by-step explanation:

You must find how many miles the car goes on one gallon, so since 300÷20= 15, you then know that the car can travel 15 miles per gallon. Therefore, you must do 15 x 30 to get 450 miles.

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3 years ago
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Anna71 [15]

Answer:

(x-2)(x-5)

Step-by-step explanation:

Find two numbers that when they multiply, you get the third term,

which is 10 in this problem. And when they add up, you get the second term,

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3 years ago
5^2 + [15-4(3 1/5)] -15.4<br> And you have to show your work Bc the dang teacher is strict
kotykmax [81]

Answer:

I think the answer is 11.8

Step-by-step explanation:

25+ [ 15- 4 x 16/5] - 15.4

25 +[ 15- 4/1 x 16/5] - 15.4

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25+ [ 15/1 - 64/5] - 15.4

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25+ 2.2 - 15.4

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4 0
3 years ago
A sign says that the price on all music equipment is 30% off the original price. you buy an electric guitar for the sale price o
Kitty [74]

Answer:

a. So the electric guitar is sold for a sale price of $315 after the discount. The discount was 30%. Even though we get that amount off, we still pay 70% of the original price, because 100% (original price) - 30% is 70%.

b. An equation that can help us find the regular price of the item is through writing and solving a proportion. Set it up like this:

315/x = 70/100

This is because 315 is part of the whole and is 70% of the value of x.

Step-by-step explanation:

Okay. Let's solve this by cross multiplying the values. 315 * 100 is 31,500. 70 * x is 70x. That simplifies to 31,500 = 70x. Didivde each side by 70 to isolate the x. 70x/70 cancels out. 31,500/70 is 450. Let's check this by multiply the number by 70% and see what happens. 450 * 70% (0.7) is 315. There. x = 450. The regular price was $450.

8 0
3 years ago
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The temperature of a cup of coffee varies according to Newton's Law of Cooling: dT dt equals negative k times the quantity T min
Maslowich

Answer:

67.3°C

Step-by-step explanation:

A = 25, T(0) = 100, T(1) = 90, find T(4)

dT/dt = -k(T - A)

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4 0
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