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mart [117]
3 years ago
14

Use the GCF and the Distributive Property to rewrite the following expression: 24 +30

Mathematics
1 answer:
puteri [66]3 years ago
3 0

Answer:

B = 6(4 + 5)

Step-by-step explanation:

GCF = The greatest common factor, example: GCF of 12 and 16 = 12 is divisible by all of these numbers. The factors for 16 are 1, 2, 4, 8, 16. The two numbers (12 and 16) share common factors (1, 2, 4). The greatest of these is 4 and that is the greatest common factor.

Distributive property = allows us to multiply the number by a group of numbers, which are added together. The distributive property is given by: a(b+c) = ab + ac

The Greatest Common Factor of 24 and 30 is 6 because it is the largest number they have together (24 = 6*4 and 30 = 6*5)

24 divided by 6 = 4

30 divided by 6 = 5

This fits B the most: 6(4 + 5)

The answer is B, I hope this helps!

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sveta [45]

Answer:

x = 12

Step-by-step explanation:

Equation:    0.52(x) + 0.72(4) = 0.57(x + 4)

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0.52x + 2.88 = 0.57x + 2.28               \longmapsto         Subtract 0.52x from both sides

2.88 = 0.05x + 2.28                            \longmapsto         Subtract 2.28 from both sides

0.6 = 0.05x                                          \longmapsto        Divide all sides by 0.05

 

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-Chetan K

6 0
2 years ago
A cylinder. The diameter of the base is 5 feet and the height of the cylinder is 12 feet.
MaRussiya [10]

Answer:

235.5 ft³

Step-by-step explanation:

V = Ab×h

= πr²×h

= π(2.5)²×12

= 3.14×6.25×12

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6 0
3 years ago
Pleaseeeeeeeeeeee helpppp
vesna_86 [32]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
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docker41 [41]

9514 1404 393

Answer:

  • 9x -5y = 4 . . . . standard form
  • 9x -5y -4 = 0 . . . . general form
  • y -1 = 9/5(x -1) . . . . . point-slope form

Step-by-step explanation:

The intercepts are ...

  x-intercept = -4/-9 = 4/9

  y-intercept = -4/5

Knowing these intercepts means we can put the equation in intercept form.

  x/(4/9) -y/(4/5) = 1

The fractional intercepts make graphing somewhat difficult. However, we observe that the sum of the x- and y-coefficients is equal to the constant:

  -9 +5 = -4

This means the point (x, y) = (1, 1) is on the graph. Knowing a point, we can write several equations using that point.

We like a positive leading coefficient (as for standard or general form), so we can multiply the given equation by -1.

  9x -5y = 4 . . . . . standard form equation

Adding -4, so f(x,y) = 0, puts this in general form.

  9x -5y -4 = 0

We can eliminate the constant by translating a line from the origin to the point we know:

  9(x -1) -5(y -1) = 0

This can be rearranged to the traditional point-slope form ...

  y -1 = 9/5(x -1)

Yet another equation can be written that tells you the slope is the same everywhere:

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These are only a few of the many possible forms of a linear equation.

6 0
3 years ago
Which figure represents the image of parallelogram LMNP after a reflection across the line y = x?
Taya2010 [7]
When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. This gives you such reflection rule:

From the diagram:
L(3,1), M(4,3), N(5,3) and P(4,1).
Using the reflection rule, you can find coordinates of image points:
L'(1,3), M'(3,4), N'(3,5) and P'(1,4).
As you can see, these are coordinates of vertices of the figure C.
Answer: correct choice is option 3 - figure C.
7 0
3 years ago
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