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Murljashka [212]
3 years ago
12

Still having trouble

Mathematics
1 answer:
Paul [167]3 years ago
8 0
Given:
-2y + 5z = -3 <span>(first equation)
</span>y = -5x - 4z - 5  (second equation)
x = 4z + 4 <span>(third equation)<span>
</span></span>
Solution:
PART 1
Substitute x with (4z + 4) in the second equation
y = -5x - 4z - 5
y = -5(4z + 4) - 4z - 5

Then simplify
y = -20z - 20 - 4z - 5

add like terms
y = -20z - 4z - 20 - 5
y = -24z - 25

PART 2 : Find the value of z
We got y is equal to (-24z - 25). Substitute y with (-24z - 25) in the first equation, and we'll find the value of z.
-2y + 5z = -3
-2(-24z - 25) + 5z = -3
48z + 50 + 5z = -3

add like terms
48z + 5z = -3 - 50
53z = -53
    z = -53/53
    z = -1

The value of z is equal to -1

PART 3: Find y and x
Find the value of y by substitution of -1 in the place of z.
y = -24z - 25
y = -24(-1) - 25
y = 24 - 25
y = -1
The value of y is equal to -1

Find the value of x by substitution of -1 in the place of z.
x = 4z + 4
x = 4(-1) + 4
x = -4 + 4
x = 0
The value of x is equal to 0
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The change in the volume of water in 1 minute is a decrease of 0.16 milliliters.

Since a water tank in Stewart's home had a small, steady leak loss of 1 3/5 mL in 10 min, to find the change in the volume of water in 1 minute, the following calculation must be performed:

  • The total leak must be calculated and divided by the 10 minutes duration.  
  • 3/5 = 0.6
  • 1 + 0.6 = 1.6
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Therefore, the change in the volume of water in 1 minute is a decrease of 0.16 milliliters.

Learn more in brainly.com/question/19747831

3 0
2 years ago
PLEASE PLEASE PLEASE HELP!!
Marta_Voda [28]
Okay I'll try to show it step by step

Step 1. So first you need to recognise that the diagram is a right angled triangle, with the right angle being at the bottom. This means we can do Pythagoras' Theorem.

Step 2. Now that you know you can use Pythagoras' Theorem, you can apply it. If you don't know, the theorem is a² + b² = c², with, in this case, a being 5 and b being 8. This means we can do 5² + 8² = 25 + 64 = 89.

Step 3. From the previous step, we now know that the length of the side including x is √89, and because we know that part of this side is 3, if we subtract 3 from √89 we get the value of x, so: √89 - 3 = 9.434 - 3 = 6.434, which is your answer.

I hope this helps!
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What is the exact volume of the figure?
uranmaximum [27]

Answer: 890.12 cm^3

Step-by-step explanation:

The formula for the volume of a cylinder is

V=\pi *r^2*h

V=628.3185307 cm^3

or simply

V=628.32 cm^3

Since, you know the radius of the hemisphere on top, you also know the radius since the height of the hemisphere is the same as it is wide.

Next, the formula for the volume of a sphere is

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V=\frac{2}{3} *\pi *r^3

V= 261.7993878 cm^3

or simply

V=261.80 cm^3

Finally, you add both of the volumes together to get

V= 890.1179185 cm^3

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V=890.12 cm^3

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It’s B

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