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MrRissso [65]
2 years ago
11

Write two different expressions that represent the quantity x decreased by 30%.

Mathematics
1 answer:
s344n2d4d5 [400]2 years ago
4 0

Answer:

Step-by-step explanation:

x - 30 = 14 - 3x

    4x = 44

      x = 11

Let's call the unknown number x

Now let's decrease it by 30, that is x-30

Now let's write out "14 decreased by three times the number", that is 14 - 3x

The problem says these are the same, that is x - 30 = 14 - 3x

We now want to isolate, or solve for, x

Move the x to one side of the equation by adding 3x to both sides

3x + x -30 = 14 - 3x + 3x

4x -30 = 14

Now move the 30 to the right hand side by adding 30 to both sides

4x - 30 + 30 = 14 + 30

4x = 44

Now all we have to do to get x is divide both sides by 4

4x/4 = 44/4

x = 11

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4 0
3 years ago
A passenger train left Austin, Texas at 12:00 PM bound for Dallas, exactly 210 miles away; it traveled at a steady 50 miles per
olya-2409 [2.1K]

Answer:

  1. 3 hours
  2. 1 hour 45 minutes
  3. 300 miles

Step-by-step explanation:

1. The trains are moving toward each other at a total speed of 50 +20 = 70 miles per hour. Together, they cover the 210 mile distance in ...

  time = distance/speed

  time = 210 mi/(70 mi/h) = 3 h

The trains collide after 3 hours.

__

2. The fly is closing with the freight train at a speed of 100 +20 = 120 miles per hour. Together, the fly and the train cover the initial 210 mile distance in ...

  (210 mi)/(120 mi/h) = 7/4 h = 1 hour 45 minutes

The fly first meets the oncoming freight train after 1 h 45 min.

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3. The fly is flying for all three hours before the trains collide, so, at 100 miles per hour, will fly 300 miles.

6 0
3 years ago
Find the values of A B C AND D of <br> 4x^2 (2x^3+5x)= Ax^B +Cx^D
iren2701 [21]

The values are A=8, B=5, C= 20 and D=3

Explanation:

The expression is 4x^{2} (2x^{3} +5x)=Ax^{B} +Cx^{D}

Simplifying, we get,

8x^{5} +20x^3=Ax^{B} +Cx^{D}

Since, both sides of the expression are equal, we can equate the corresponding values of A, B, C and D.

Thus, we get,

8 x^{5}=A x^{B} ⇒ A=8 and B=5

Also, equating, 20 x^{3}=C x^{D}, we get,

C=20 and D=3

Thus, the values are A=8, B=5, C= 20 and D=3

3 0
3 years ago
Find the area of the triangle below.
fenix001 [56]

Answer:

area of a triangle is 1/2×h×b

Step-by-step explanation:

1÷2×12×13

=78

5 0
3 years ago
Find highest common factor 12 &amp; 20
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It's 4. The factors of 12 are: 1,2,3,4,6,12. The factors of 20 are: 1,2,4,5,10,20.
5 0
3 years ago
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