2 years ago

Shelby made 5quarts of juice. she said that she made 1 1\4of juice.expkain her mistake

Mathematics

1 answer:

docker41 [41]2 years ago

8 0

Shelby mistake is 11;4 is not the correct mixed number

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2. Suppose (220)_b and (251)_b are the squares of consecutive integers. Determine b.

Andrei [34K]

Let $x$ and $x+1$ be these consecutive integers. For some base $b$ , we can write

$(x_{10})^2=220_b=2b^2+2b$

$((x+1)_{10})^2=251_b=2b^2+5b+1$

$x^2=2b^2+2b$

then

$x^2+1=2b^2+2b+1$

Now,

$x^2+2x+1=2b^2+5b+1$

$2x+2b^2+2b+1=2b^2+5b+1$

$\implies2x=3b$

Squaring both sides gives

$4x^2=9b^2$

and so

$4(2b^2+2b)=9b^2$

$\implies8b^2+8b=9b^2$

$\implies b^2-8b=0\implies\boxed{b=8}$

(because the base has to be non-zero)

3 0

2 years ago

Which pair of segments in the figures below are congruent?<br><br>

MrRissso [65]

Answer:

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4 0

3 years ago

Please help, am i right

earnstyle [38]

Answer: yea you are

Step-by-step explanation:

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2 years ago

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djyliett [7]

Answer:

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2 years ago

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Find the perimeter and area of the figure.

Travka [436]

Answer:

The perimeter is 20 cm.

The area is 25 cm^2.

Step-by-step explanation:

The perimeter is the distance around the figure.

This is a square, so each side is the same length.

There are four sides, so

5 + 5 + 5 + 5 = 20 cm

The area of the figure is

s^2

where s is a side

so 5 * 5 = 25 cm^2

7 0

2 years ago