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Anna [14]
3 years ago
9

Which expression represents the sum (3z−11)+(6−6z) ?

Mathematics
1 answer:
Fudgin [204]3 years ago
6 0

Answer: z = -5/-3

Step-by-step explanation:

(3z−11)+(6−6z)

3z - 11 + 6 - 6z

- 6z + 3z - 11 + 6

- 3z - 5

z = -5/-3

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What is the common ratio for the sequence 28,14,7,3.5 ?
wolverine [178]

Answer:

Its 2

Step-by-step explanation:

7 0
3 years ago
Billy has 1 gallon of paint. He is going to pour it into a paint tray that measures 10 inches wide, 14 inches long, and 4 cm dee
V125BC [204]

Answer:

The paint will not fill the tray by 10.53 cubic inches.

Step-by-step explanation:

We will find the volume of the paint tray and compare it with the volume of the gallon.

Given dimensions are:

Length = 14 inches

Width = 10 inches

Depth = 4 cm or \frac{4}{2.54}=1.575 inches

The volume is given by = length x width x depth

Volume = 14\times10\times1.575=220.50 cubic inches

Volume of 1 gallon is given as = 231 cubic inches

We can see that volume of 1 gallon is more than volume of tray.

Difference = 231-220.50=10.5 cubic inches.

So, the paint will not fill the tray by 10.53 cubic inches.

3 0
3 years ago
(50 POINTS - WILL GIVE BRAINLIEST TO MOST HELPFUL ANSWER)
cricket20 [7]

Answer:

Part A:

x + y = 80

x + 20 = y

Part B:

Pam spends 30 minutes practicing math every day.

Part C:

It is not possible for Pam to have spent 60 minutes practicing dance because this means she must have practiced math for 40 minutes (60 - 20 = 40). This would total out to 100 minutes of total practice, not 80 minutes. Therefore, this is impossible.

Step-by-step explanation:

Part A:

"She spends 80 minutes every day practicing dance and math."

x + y = 80

"She dances for 20 minutes longer than she works on math."

x + 20 = y

Part B:

Solve for x:

x + 20 = y

Isolate variable x:

x = y - 20

Plug in this new value for the first equation:

y - 20 + y = 80

Combine like terms:

2y - 20 = 80

Isolate variable y:

2y = 100

y = 50

Plug in the new value of y into any equation:

x + 50 = 80

Isolate variable x:

x = 30

Part C:

x + 20 = y

x + 20 = 60

x = 40

x + y = 80

40 + 60 = 80

100 = 80

Impossible.

8 0
3 years ago
Read 2 more answers
Write 504 as a product of primes. Use index notation when giving your answer.
Sergio039 [100]

Prime Factors of 504: 2, 3, 7

23 × 32 × 71 where 2, 3, 7 are prime.

7 0
2 years ago
40 points plz help if u can Which function has no Zeroes? Select all that apply.
Damm [24]
<h3>2 Answers: Choice C and choice D</h3>

y = csc(x) and y = sec(x)

==========================================================

Explanation:

The term "zeroes" in this case is the same as "roots" and "x intercepts". Any root is of the form (k, 0), where k is some real number. A root always occurs when y = 0.

Use GeoGebra, Desmos, or any graphing tool you prefer. If you graphed y = cos(x), you'll see that the curve crosses the x axis infinitely many times. Therefore, it has infinitely many roots. We can cross choice A off the list.

The same applies to...

  • y = cot(x)
  • y = sin(x)
  • y = tan(x)

So we can rule out choices B, E and F.

Only choice C and D have graphs that do not have any x intercepts at all.

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

If you're curious why csc doesn't have any roots, consider the fact that

csc(x) = 1/sin(x)

and ask yourself "when is that fraction equal to zero?". The answer is "never" because the numerator is always 1, and the denominator cannot be zero. If the denominator were zero, then we'd have a division by zero error. So that's why csc(x) can't ever be zero. The same applies to sec(x) as well.

sec(x) = 1/cos(x)

7 0
3 years ago
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