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miv72 [106K]
3 years ago
10

How many 0.5 liter glasses of water can be poured from a full 6 liter pitcher

Mathematics
1 answer:
adelina 88 [10]3 years ago
3 0
12 0. Litler glasses
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A bicycle wheel with radius 26" rotates through an arc that measures 80°. What is the length of the arc of the tire that touched
seropon [69]

Answer:

104/4 pi

Step-by-step explanation:

Answer: The circumference of a circle is:

Radius = r, Diameter = d, C = Circumference

C=2πr (as 2r=d)

C=πd

-------------

If the radius of the circle is 26" then its diameter must be 52".

This means that the bicycle wheel has a circumference of 52π".

I'm going to divide 52π" into 360 parts (because a circle is made up of 360 degrees). I'll then multiply this value by 80 to give you an answer.

8 0
3 years ago
Mark recorded the growth of a plant over 8 weeks. The equation y=0.2x+2 represents the height y, in inches, after x weeks.
klio [65]

Answer:

Step-by-step explanation:

The equation representing the growth of the plant after x weeks is expressed as

y = 0.2x+2

Where

x represents the number of weeks.

y represents the height of the plant after x weeks in inches.

A.

The height of the plant after week 3 was about 2.6 inches. We can check by substituting x = 3 into the equation. It becomes

y = 0.2 × 3 + 2 = 2 + 0.6 = 2.6 inches. It is correct.

B is incorrect.

C.

The height of the plant after week 9 was about 3.8 inches. We can check by substituting x = 9 into the equation. It becomes

y = 0.2 × 9 + 2 = 2 + 1.8 = 3.8 inches. It is correct.

D is incorrect

6 0
3 years ago
A taxi service offers a ride with an $5 surcharge and charges $0.50 per mile.
Butoxors [25]

Answer:

50 miles

Step-by-step explanation:

x = (30 - 5) / 0.50

<em>Subtract To Solve Parentheses</em>

x = 25 / 0.50

<em>Divide</em>

x = 50

7 0
3 years ago
X-5(x-1)=2x-(2x-3) answer the question
levacccp [35]

Answer: x= 1/2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x−5(x−1)=2x−(2x−3)

x−5(x−1)=2x+−1(2x−3)(Distribute the Negative Sign)

x−5(x−1)=2x+−1(2x)+(−1)(−3)

x−5(x−1)=2x+−2x+3

x+(−5)(x)+(−5)(−1)=2x+−2x+3(Distribute)

x+−5x+5=2x+−2x+3

(x+−5x)+(5)=(2x+−2x)+(3)(Combine Like Terms)

−4x+5=3

−4x+5=3

Step 2: Subtract 5 from both sides.

−4x+5−5=3−5

−4x=−2

Step 3: Divide both sides by -4.

−4x /−4 = −2 /−4

x = 1/2

8 0
3 years ago
Read 2 more answers
An aquarium is in the shape of a cube. The aquarium can hold between 4096 cubic inches and 8000 cubic inches of water. What are
pantera1 [17]

Answer: The possible side lengths are either 16 inches or 20 inches

Step-by-step explanation: The aquarium is in the shape of a cube which suggests that, all dimensions (length, width and height) are equal.

If it can hold 4096 cubic inches of water, then the volume of water in it can be calculated as follows;

Volume = L x W x H

Knowing that all three dimensions are the same the formula can be re-written as;

Volume = L³

4096 = L³

Add the cube root sign to both sides of the equation

∛4096 = ∛L³

16 = L

Also if it can hold up to 8000 cubic inches of water, then the volume of water in it can be calculated as;

Volume = L³

8000 = L³

Add the cube root sign to both sides of the equation

∛8000 = ∛L³

20 = L

Therefore, if the aquarium can hold between 4096 and 8000 cubic inches of water, then the side lengths are either 16 inches or 20 inches

3 0
3 years ago
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