3 years ago

Seventh grade

Mathematics

1 answer:

victus00 [196]3 years ago

5 0

Answer:

not equivelant

Step-by-step explanation:

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B is the midpoint of AC. What is the length of AB? AB is 9x+7 and BC is -3x+20

ahrayia [7]

<h3>Answer:</h3>

$AB = \frac{67}{4}\\$

<h3>Step-by-step explanation:</h3>

If $B$ is the midpoint of $\overline{AC}$ then $AB$ is just half of $AC$ and also, $BC$ is just half of $AC$ . This means that $AB$ must be equal to $BC$ . Essentially, $9x +7 = -3x +20$ and we can solve for the of $x$ from that equation.

$9x +7 = -3x +20 \\ 9x +7 +3x = -3x +20 +3x \\ 12x +7 = 20 \\ 12x +7 -7 = 20 -7 \\ 12x = 13 \\ \frac{12x}{12} = \frac{13}{12} \\ x = \frac{13}{12}$

Now we can solve for $AB$

$AB = 9(\frac{13}{12}) +7 \\ AB = 3(\frac{13}{4}) +7 \\ AB = \frac{39}{4} +7 \\ AB = \frac{39}{4} +\frac{28}{4} \\ AB = \frac{67}{4}$

8 0

3 years ago

Starting with a 10 mL of sand and a graduated cylinder 5 mL of water is added to the sand. after waiting for the water to comple

Sedbober [7]

Answer:

Porosity of the sand is, 20 %.

Step-by-step explanation:

So according to the question,

10 mL of sand contains (5 - 3) mL = 2 mL of water and this water fills the gaps or pores between the sand partcles. So, porosity of the sand is given by,

$\frac {2 \times 100}{10}$ %