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bezimeni [28]
3 years ago
9

Marianna went running and had 16 of a bottle of water left when she stopped to rest. She went to a water fountain and filled it

until it was 23 full. How much water (as a fraction of a bottle) did Marianna put in her bottle at the water fountain?
Mathematics
1 answer:
vovikov84 [41]3 years ago
4 0

Answer:

7/100

Step-by-step explanation:

16/100 to 23/100

23-16 = 7

7/100 added

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Ainat [17]

Answer:

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The sum of two numbers is 52. The larger number is 8 more than the smaller number. What are the numbers?
iVinArrow [24]

Answer:

The smaller number is 22

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Step-by-step explanation:

L + S = 52

L = S + 8

Set both equations equal to L.

S + 8 = -S + 52

+S        +S

2S + 8 = 52

     - 8    - 8

2S = 44

S = 22

To find the larger number, plug 22 in as S into the equations.

L = 30

3 0
3 years ago
2x^3-x^2+x-2 factorize​
bekas [8.4K]

Answer:

(x-1)(2x^2+x+2)

Step-by-step explanation:

Factorize:

f(x)=2x^3-x^2+x-2

<u>Factor Theorem</u>

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

Substitute x = 1 into the function:

\implies f(1)=2(1)^3-1^2+1-2=0

Therefore, (x - 1) is a factor.

As the polynomial is cubic:

\implies  f(x)=(x-1)(ax^2+bx+c)

Expanding the brackets:

\implies  f(x)=ax^3+bx^2+cx-ax^2-bx-c

\implies  f(x)=ax^3+(b-a)x^2+(c-b)x-c

Comparing coefficients with the original polynomial:

\implies ax^3=2x^3 \implies a=2

\implies (b-a)x^2=-x^2 \implies b-2=-1 \implies b=1

\implies -c=-2 \implies c=2

Therefore:

\implies  f(x)=(x-1)(2x^2+x+2)

Cannot be factored any further.

4 0
2 years ago
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alexandr402 [8]

Answer:

Step-by-step explanation:

1)13   2)-22 7/9   3)37.6   4)-16   5)1.75   6)-12    7).46   8)4.7   9)-21.42                  u can do ten I have to go to class

8 0
3 years ago
Identify the transformation that maps the figure onto itself <br><br> Please help
Lapatulllka [165]

Answer:

  B.  Rotate 180° clockwise around (8, 4) and reflect across the line x=8.

Step-by-step explanation:

The figure is symmetrical (order 2) about the point (8, 4), and about the lines x=8 and y=4.

Hence, rotation 180° about the point (8, 4) makes the figure look unchanged. Since the figure is also symmetrical about the line x=8, reflecting it across that line will also leave the figure unchanged.

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Any of the other transformations have the effect of translating the figure somewhere else.

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