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algol13
3 years ago
8

Lin knows that there are 4 quarts in a gallon. She wants to convert 6 quarts to gallons but cannot decide if she should multiply

6 by 4 or divide 6 by 4 to find her answer.
Mathematics
2 answers:
zalisa [80]3 years ago
7 0

Answer:

She needs to divide 6 by 4.

Step-by-step explanation:


Andreyy893 years ago
6 0

Answer:

She should divided 6 by 4 to find the gallons in 6 quarts.

Step-by-step explanation:

We are given that

4 quarts=1 gallon

We have to find how many gallons in 6 quarts.

To find the gallons in 6 quarts we will use the unitary method.

Using unitary method

4 quarts=1 gallon

1 quart=\frac{1}{4} gallons

6 quarts=\frac{1}{4}\times 6gallons

6 quarts=\frac{3}{2} gallons

After dividing then, we get

6 quarts=1.5 gallons

Hence, she should divided 6 by 4 to find the gallons in 6 quarts.

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Answer:

4. -17

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Step-by-step explanation:

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2 years ago
a spherical balloon is deflated at a rate of 256pi/3 cm^3/sec. at what rate is the radius of the balloon changing when the radiu
Hunter-Best [27]
What you need to look for is \frac { dr }{ dt } when r=8.

Now:

Volume\quad of\quad a\quad sphere:\\ \\ V=\frac { 4 }{ 3 } \pi { r }^{ 3 }

\therefore \quad \frac { dV }{ dr } =\frac { 4 }{ 3 } \pi \cdot 3{ r }^{ 2 }=4\pi { r }^{ 2 }\\ \\ \therefore \quad \frac { dr }{ dV } =\frac { 1 }{ \frac { dV }{ dr }  } =\frac { 1 }{ 4\pi { r }^{ 2 } }

And:\\ \\ \frac { dV }{ dt } =-\frac { 256\pi  }{ 3 } \\ \\ Therefore:\\ \\ \frac { dr }{ dt } =\frac { dr }{ dV } \cdot \frac { dV }{ dt }

\\ \\ =\frac { 1 }{ 4\pi { r }^{ 2 } } \cdot -\frac { 256\pi  }{ 3 } \\ \\ =-\frac { 256 }{ 12 } \cdot \frac { \pi  }{ \pi  } \cdot \frac { 1 }{ { r }^{ 2 } }

\\ \\ =-\frac { 64 }{ 3{ r }^{ 2 } } \\ \\ When\quad r=8,\\ \\ \frac { dr }{ dt } =-\frac { 64 }{ 3\cdot { 8 }^{ 2 } } =-\frac { 1 }{ 3 } \\ \\ Answer:\quad -\frac { 1 }{ 3 } \quad cm/sec
3 0
3 years ago
A cylinder and its dimensions are shown. Which equation can be used to find V, the volume of the cylinder in cubic centimeters?
Basile [38]
D the formula is v=(pie)(r)2(h)
Sorry I don’t have the right tools to do the equation right. But it’s D
8 0
2 years ago
Read 2 more answers
I need only 16 and 17 please help
Nesterboy [21]

9514 1404 393

Answer:

  16. a: (-90°, (4, 3)); b: (90°, (0, 3)); c: (-90°, (0, 0))

  17. a: (down, (4, -1)); b: (right, (4, 3)); c: (up, (5, 2))

Step-by-step explanation:

We don't know what notation you're used to seeing for rotations. Here. we'll use the form [degrees CCW, (center)]. (CW angles are negative.) In any rotation, the center is the point that is invariant (remains in the same place)

16.

a) The tail is invariant, so the rotation is (-90°, (4, 3)).

b) The tip is invariant, so the rotation is (90°, (0, 3)).

c) The origin is invariant, so the rotation is (-90°, (0, 0))

__

17.

a) The tail is invariant, so the arrow is pointing down with the tip at (4, -1).

b) The center is invariant, so the arrow is reversed. It is pointing right with the tip at (4, 3).

c) Point (2, 3) is invariant, so the arrow is pointing up with the center at (5, 0). The tip is at (5, 2).

_____

<em>Additional comment</em>

If you have trouble visualizing these rotations, you might find it useful to trace the arrow on a piece of (semi-)transparent medium (plastic or tracing paper) so that you can move it as required to match the descriptions in the problem statement. A pin, or a dot on your tracing, can serve to fix the center of rotation. A little hands-on never hurts in math and geometry.

8 0
3 years ago
Solve the equation. Round the solution to the tenths place.<br> 6.35t = 56.515<br> t =
Westkost [7]

Answer:

t = 8.9

Step-by-step explanation:

6.35t = 56.515

56.515 / 6.35 = t

t = 8.9

5 0
3 years ago
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