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3 years ago

Determine whether the two ratios are proportional. 6/36 and 1/6 a) Yes b) No

1 answer:

6 0

Yes, they are. Treat ratios like fractions, simplify them the same way. In 6/36, the GCF (Greatest Common Factor) of the numerator and the denominator is six. So, we divide both sides by six. This gives us 1/6, which is still the same fraction. (Making it proportional)

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How many terms are in -7k+x2-3

liq [111]

Answer: 2 terms 1:k 2:x

Step-by-step explanation:

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3 years ago

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Haley makes earrings and packages them into cube boxes that measure 1/6 foot wide. how many 1/6 foot cubic boxes can she fit int

navik [9.2K]

Answer: $28\ cubes$

Step-by-step explanation:

The volume of a cube can be found with this formula:

$V_{(c)}=s^3$

Where "s" is the lenght of any edge of the cube.

The formula for calculate the volume of a rectangular prism is:

$V_{rp}=lwh$

Where "l" is the lenght, "w" is the width and "h" is the height.

We need to find the volume of a cube box:

$V_1=s^3=(\frac{1}{6}ft)^3=\frac{1}{216}ft^3$

To find the volume of the shipping box, first we must convert the mixed number to an improper fraction:

$1\frac{1}{6}=\frac{(6*1)+1}{6}=\frac{7}{6}$

Then the volume of the shipping box is:

$V_2=lwh\\\\V_2=(\frac{7}{6}ft)(\frac{1}{3}ft)(\frac{1}{3}ft)=\frac{7}{54}ft^3$

Now, in order to find the number of cube boxes can Haley fits into a shipping box, you must divide the the volume of the shipping box by the volume of one cube. This is:

$\frac{\frac{7}{54}ft^3}{\frac{1}{216}ft^3}=28$

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3 years ago

How much can 23 go into 162?

Aneli [31]

23 can go 7 times into 162! Hope this helps ;(

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The measure of an inscribed angle in a circle is ______ the measure of the intercepted arc.

xxMikexx [17]

C. Half

<u>Explanation:</u>

An inscribed angle is an angle with its vertex on the circle and whose sides are chords. The intercepted arc is the arc that is inside the inscribed angle and whose endpoints are on the angle.

The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc.

Inscribed angles that intercept the same arc are congruent.

An image is inserted for your reference.

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3 years ago

You go to Mellow Mushroom and your bill is $50.

Juliette [100K]

60$

10% of 50$ is 5(50/10), so 20% (10% x 2) would be 10 (5$ x 2)

The original 50$ added to the 10$ would make 60$

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3 years ago