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3 years ago

HALP ASAP!!! 11 POINTS!

Mathematics

1 answer:

grandymaker [24]3 years ago

4 0

Answer:

[D] 3x + 2y = 6

Step-by-step explanation:

The standard form is ax + by = c.

3(x + 2) = 12 - 2y

Distribute the 3 on the left side.

3x + 6 = 12 - 2y

Add 2y to both sides.

3x + 2y + 6 = 12

Subtract 6 from both sides.

3x + 2y = 6

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Identify the coefficient in the expression 7y + 8.

Anit [1.1K]

Answer:

Step-by-step explanation:

hope this helps! :D

have a miraculous day, and brainliest is immensely appreciated!! <3

5 0

3 years ago

Read 2 more answers

The radius of a softball is 3.75 cm, and the radius of a table tennis ball is 2 cm. The volume of the softball is how many times

Natali5045456 [20]

Answer:

The volume of the softball is 6.6 times the volume of the tennis ball

Step-by-step explanation:

we know that

The volume of a sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

step 1

Find the volume of the softball

we have

$r=3.75\ cm$

substitute

$V=\frac{4}{3}(3.14)(3.75)^{3}=220.8\ cm^{3}$

step 2

Find the volume of the tennis ball

we have

$r=2\ cm$

substitute

$V=\frac{4}{3}(3.14)(2)^{3}=33.5\ cm^{3}$

step 3

Divide the volume of the softball by the volume of the tennis ball

$220.8\ cm^{3}/33.5\ cm^{3}=6.6$

therefore

The volume of the softball is 6.6 times the volume of the tennis ball

<em>Alternative Method</em>

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

The scale factor is equal to the ratio of its radius

$\frac{3.75}{2}=1.875$

therefore

The scale factor elevated to the cube is

$1.875^{3}=6.6$

therefore

The volume of the softball is 6.6 times the volume of the tennis ball

5 0

3 years ago

A water tank looses water at a constant rate. After one minute it contains 44.8 gallons of water and after five minutes it conta

Kobotan [32]

Answer:

2.56 gallons per minute!

Step-by-step explanation:

44.8 gallons - 32 gallons = 12.8 gallons

12.8 gallons in 5 minutes - so we need to find the unit rate (per one minute)

12.8/5 = 2.56

2.56 gallons per minute!

6 0

3 years ago

Using the digits 1 to 9 at most one time each, fill in the boxes to find the largest (or smallest) possible values for x.

Mice21 [21]

Answer:

smallest: 8x -3 = 4; 1y +9 = 2. total = -49/8

largest: 1x -9 = 8; 2y +3 = 7. total = 19

Step-by-step explanation:

If we use variables to represent the box contents, we can write ...

ax -b = c

dy +e = f

Then the values of x and y are ...

x = (c +b)/a

y = (f -e)/d

For positive integer values of the variables, x will always be positive, and y may or may not be negative.

Smallest sum

For the sum to be the smallest, we must have x be as small as possible and the ratio (f-e)/d be as negative as possible.

x will be small for large 'a' and for (c+b) small. For y to be as negative as possible, we want 'd' and 'f' small and 'e' large. Best results are obtained for

8x -3 = 4 ⇒ x = 7/8

1y +9 = 2 ⇒ y = -7

For these coefficients, the sum is -6 1/8 = -49/8.

(note that the values of 'b' and 'c' can be swapped with no net effect)

Largest sum

For the sum to be the largest, we must have x as large as possible: (b+c) large and 'a' small. At the same time we must have y be positive and as large as possible: (f-e) positive and large, 'd' small. Best results are obtained for

1x -9 = 8 ⇒ x = 17

2y +3 = 7 ⇒ y = 2

For these coefficients, the sum is 19. Again, 'b' and 'c' can be swapped with no effect.

_____

Additional comment

These extreme values are verified by examination of the 60,480 possible permutations of the coefficients.

8 0

3 years ago

Which of the following statements is false?

Tasya [4]

Answer:

B. FALSE