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Anika [276]
2 years ago
8

Tap A can fill 4 pails in 55 seconds.

Mathematics
1 answer:
rewona [7]2 years ago
7 0

Answer:

Below in bold.

Step-by-step explanation:

Work in times to fill 1 pail:-

tap A takes 55/4 seconds

tap B takes 50/3 seconds

Let time to fill one pail be x when filling together, then:

3/50 + 4/55 = 1/x

165x + 200x = 55*50

x = 2750 /(365) = 7.5342 seconds

To fill 16 pails it takes 7.5342* 16

= 120.55 seconds

= 2 minutes 1 second to the nearest second..

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What is the slope and y-intercept of the graph? (write your answer in simplest form)
Basile [38]

Answer:

ok

Step-by-step explanation:

what do u mean by the simplest form?

8 0
2 years ago
From least to greatest 8/100 3/5 7/10
stich3 [128]
8/100, 3/5, 7/10

Explanation:
8/100 = 0.08
3/5 = 0.6
7/10 = 0.7
6 0
3 years ago
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For what value of x is sq 896z^15/225z^6 = xz^4/15
Ratling [72]

Answer:

Value of x is, 8

Step-by-step explanation:

Given:  \sqrt{\frac{896z^{15}}{225z^6}} =\frac{xz^4}{15} \sqrt{14z} ,.....[1]

To find the value of x:

Using exponent rules:

  • (a^n)^m = a^{nm}
  • a^n \cdot a^m = a^{n+m}

Taking square both sides in [1] we have;

\frac{896z^{15}}{225z^6} = (\frac{xz^4}{15})^2 \cdot (14z)

Simplify:

\frac{896z^{15}}{225z^6} =\frac{x^2z^8}{225} \cdot (14z)

or

\frac{896z^{15}}{225z^6} =\frac{14x^2z^9}{225}

Multiply both sides by \frac{225}{14z^9} we get;

x^2 = \frac{896 z^{15}}{225z^6} \times \frac{225}{14 z^9} = \frac{896 z^{15}}{14 z^{9+6}}

Simplify:

x^2 = \frac{896 z^{15}}{14 z^{15}} = 64

or

x = \sqrt{64}

Simplify:

x = 8

Therefore, the value of x is, 8


5 0
2 years ago
Triangle X Y Z is cut by line segment C D. Line segment C D goes from side X Y to side Y Z. The length of C D is 15, the length
Marizza181 [45]

The length of DZ is 4 units ⇒ 3rd answer

Step-by-step explanation:

Triangle X Y Z is cut by line segment C D, where

  • C lies on side XY and D lies on the side YZ
  • The length of C D is 15
  • The length of X Z is 18
  • The length of C Y is 25
  • The length of Y D is 20
  • C D and X Z are parallel
  • CX = 5 units

We need to find the length of DZ

In Δ XYZ

∵ C ∈ XY and D ∈ YZ

∵ CD // XZ

∴ m∠YCD = m∠YXZ ⇒ alternate angles

∴ m∠YDC = m∠YZX ⇒ alternate angles

In Δs YCD and YXZ

∵ m∠YCD = m∠YXZ

∵ m∠YDC = m∠YZX

∵ ∠Y is a common angle

∴ Δ YCD is similar to Δ YXZ by AAA postulate

- There is a constant ratio between their corresponding sides

∴ \frac{YC}{YX}=\frac{CD}{XZ}=\frac{YD}{YZ}

∵ YC = 25 units

∵ CX = 5 units

∵ YX = YC + CX

∴ YX = 25 + 5 = 30 units

∵ YD = 20 units

∵ YZ = YD + DZ

∴ YZ = 20 + DZ

Let us use the ratio of the corresponding side

∵ \frac{YC}{YX}=\frac{YD}{YZ}

∴ \frac{25}{30}=\frac{20}{20+DZ}

- Simplify \frac{25}{30} by dividing up and down by 5

∵ \frac{25}{30}=\frac{5}{6}

∴ \frac{5}{6}=\frac{20}{20+DZ}

- By using cross multiplication

∴ 5(20 + DZ) = 6(20)

∴ 100 + 5 DZ = 120

- Subtract 100 from both sides

∴ 5 DZ = 20

- Divide both sides by 5

∴ DZ = 4 units

The length of DZ is 4 units

Learn more:

You can learn more about triangles in brainly.com/question/3202836

#LearnwithBrainly

8 0
2 years ago
Algebra Test pls help
Levart [38]

Answer:

Option 3

y + 16 = 8(x + 2)

Step-by-step explanation:

<h3><u>Given</u>;</h3>
  • x = 2, 4, 6, 8
  • y = 16, 32, 48, 64

Now, Put the values in equation 1

y – 16 = 8(x – 2)

  • For x = 2 and y = 16

y – 16 = 8(x – 2)

16 – 16 = 8(2 – 2)

0 = 8

Here, L.H.S ≠ R.H.S

So, Option 1 is incorrect

Now, Put the values in equation 2

y – 16 = 8x – 2

  • For x = 2 and y = 16

y – 16 = 8x – 2

16 – 16 = 8(2) – 2

0 = 14

Here, L.H.S ≠ R.H.S

So, Option 1 is incorrect

Now, Put the values in equation 3

y + 16 = 8(x + 2)

  • For x = 2 and y = 16

y + 16 = 8(x + 2)

16 + 16 = 8(2 + 2)

32 = 8(4)

32 = 32

Here, L.H.S = R.H.S

Check other values of x and y

  • For x = 4 and y = 32

y + 16 = 8(x + 2)

32 + 16 = 8(4 + 2)

48 = 8(6)

48 = 48

Here, L.H.S = R.H.S

  • For x = 6 and y = 48

y + 16 = 8(x + 2)

48 + 16 = 8(6 + 2)

64 = 8(8)

64 = 64

Here, L.H.S = R.H.S

  • For x = 8 and y = 64

y + 16 = 8(x + 2)

64 + 16 = 8(8 + 2)

80 = 8(10)

80 = 80

Here, L.H.S = R.H.S

Thus, The equation 3 in point-slope from gives the plant's height at any time.

 

<u>-TheUnknownScientist 72</u>

5 0
2 years ago
Read 2 more answers
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