Multiply and rewrite the system: 16푥−10푦=10 −8푥−6푦=6 solving for elimination

Explain that you found the volume of water in the fish tank if it was only one and a half full with water show your work and sol

Reptile [31]

Answer:

The volume of water in the fish tank is 4.5 cubic feet

see the explanation

Step-by-step explanation:

The complete question is

Explain how you found the volume of water in the fish tank if it was only 1/2 full with water. Show your work and solution. Don't forget your UNITS!

You have a fish tank with the following dimensions:

Height: 3 feet

Width: 1.5 feet

Length: 2 feet

step 1

Find the volume of the fish tank

The volume of a rectangular prism ( fish tank) is equal to

$V=LWH$

substitute the given values

$V=(2)(1.5)(3)=9\ ft^3$

step 2

Find the volume of water in the fish tank

Remember that

The fish tank it was only one and a half full with water

so

Multiply the volume of the fish tank by one and a half to obtain the volume of water

$\frac{1}{2}(9)=4.5\ ft^3$

8 0

3 years ago

What is 15 = -y + 10

Murrr4er [49]

It's a simple linear equation in a single variable, 'y' . Its solution is the number
that 'y' must be in order to make the equation a true statement. Here's how to
find the solution:

Write the equation: 15 = -y + 10

Subtract 10 from each side: 5 = -y

Multiply each side by -1 : -5 = y

7 0

3 years ago

Read 2 more answers

Simplify expression 2/3[3f+12]+f

neonofarm [45]

Answer:

= 3f + 8

Step-by-step explanation:

Given that:

= 2/3[3f+12]+f

By simplifying:

2/3 will be multiplied inside the bracket as follows:

= 2/3*3f + 2/3*12 + f

By cancelling the terms with each other we get:

= 2f + 24/3 + f

By simplifying the fraction we get:

= 2f + 8 + f

Adding like terms

= 3f + 8

This is the simplified expression.

i hope it will help you!

4 0

2 years ago

Bas_tet [7]

Answer:

a) We reject H₀ We find difference between the mean of the two groups

b) we accept H₀ : There is no statistical difference ( in the scale of pain) when the difference in samples means is 1

Step-by-step explanation:

Group 1: Only with educational material

Sample size n₁ = 42

Sample mean x₁ = 3,2

Sample standard deviation s₁ = 2,3

Group 2: With exercises with the treatment of individuals

Sample size n₂ = 42

Sample mean x₂ = 5,2

Sample standard deviation s₂ = 2,3

Test Hypothesis

Null Hypothesis H₀ x₂ - x₁ = 0 or x₁ = x₂

Alternative Hypothesis Hₐ x₂ - x ₁ > 0 or x₂ > x₁

Significance level α = 0,01

Sample sizes are n₁ = n₂ > 30

We use z-test

for α = 0,01 z(c) ≈ 2,32

To calculate z(s)

z(s) = ( x₂ - x₁ ) / √ (2,3)²/42 + (2,3)²/42

z(s) = ( 5,2 - 3,2 )/ √0,2519

z(s) = 2 / 0,5

z(s) = 4

Comparing z(s) and z(c)

z(s) > z(c)

z(s) is in the rejection region. We reject H₀ the true average pain level for the control condition exceeds that for the treatment condition.

b) Does the true average pain level for the control condition exceed that for the treatment condition by more than 1.

In this case

z( s) = x₂ - x₁ / 0,5

z(s) = 1 /0,5

z(s) = 2

Comparing z(s) and z(c) now

z(s) < z(c) 2 < 2,32

And z(s) is in the acceptance region ( for the same significance level) and we should accept H₀ equivalent to say that the two groups statistical have the same mean

5 0

3 years ago

Which choice shows the coordinates of B’ if the trapezoid is reflected across the x-axis?

Strike441 [17]

For this case we have that the original point is given by:
B = (7, 2)
As the point is reflected through the x axis, then we have the following transformation:
(x, y) --------------> (x, -y) -------------> (x ', y')
Applying the transformation to the original ordered pair we have:
(7, 2) --------------> (7, - (2)) -------------> (7, -2)
Answer:
Point B 'is given by:
B '= (7, -2)

8 0

3 years ago

Read 2 more answers