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Marina CMI [18]

3 years ago

5

On a number line, the directed line segment from Q to S has endpoints Q at -2 and S at 6. Point R partitions the directed line s

egment from Q to S in a 3:2 ratio. Rachel uses the section formula to find the location of point R on the number line.

2 answers:

Alona [7]3 years ago

7 0

The answer is 14/5, there ya go

Natali5045456 [20]3 years ago

3 0

The answer to the question on ingenuity is 14/5<span />

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use distributive property to simplify the expression 3 (8x + 2y) I need help with my algebra homework someone please help.

inysia [295]

$6 \times (4 \times x + y)$

4 0

3 years ago

A marine aquarium has a small tank and a large tank, each containing only red and blue fish. In each tank, the ratio of red fish

Anna007 [38]

Answer:

Ratio of blue fish in the small tank to the red fish in large tank is 10 : 6279

Step-by-step explanation:

Let the number of red fish and blue fish in the large tank are x and y respectively.

Similarly ratio of red fish and blue fish in the small tank are x' and y' respectively.

Since in each tank ratio of the red fish to blue fish is 333 : 444

That means x : y = 333 : 444

Or $\frac{x}{y}=\frac{333}{444}$

⇒ $\frac{x}{y}=\frac{3}{4}$

⇒ y = $\frac{4x}{3}$ --------(1)

Similarly x' : y' = 333 : 444

⇒ $\frac{x'}{y'}=\frac{333}{444}$

⇒ $\frac{x'}{y'}=\frac{3}{4}$

⇒ x' = $\frac{3y'}{4}$ ------(2)

Ratio of the fish in large tank to the fish in small tank is 464646 : 555

So (x + y) : (x' + y') = 464646 : 555

$\frac{x+y}{x'+y'}=\frac{464646}{555}$

Now we replace the values of x and y' from equation (1) and equation (2)

$\frac{(x+\frac{4x}{3})}{(\frac{3y'}{4}+y')}=\frac{464646}{555}$

$\frac{\frac{7x}{3}}{\frac{7y'}{4}}=\frac{464646}{555}$

$\frac{4}{3}\times \frac{x}{y'}=\frac{464646}{555}$

$\frac{x}{y'}=\frac{3}{4}\times \frac{464646}{555}$

$\frac{x}{y'}=\frac{232323}{370}$

$\frac{y'}{x}=\frac{370}{232323}$

$\frac{y'}{x}=\frac{10}{6279}$

Therefore, ratio of blue fish in the small tank to the red fish in large tank is 10 : 6279

4 0

3 years ago

A recent gasoline survey said that the national average price of gasoline was $1.298 a gallon. It was felt that gasoline price i

slava [35]

Answer:

<em>alternative hypothesis : H₁ :</em>

<em>Recent Gasoline surveys felt that gasoline price in Texas was significantly lower than the national average</em>

<em>Alternative Hypothesis : H₁: μ < $1.298 a gallon</em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given A recent gasoline survey said that the national average price of gasoline was $1.298 a gallon

<em>Population average μ= $1.298 a gallon</em>

<em>sample size 'n' = 37</em>

<em>Sample mean (x⁻) = $1.192 a gallon </em>

<em>Sample standard deviation 'S' = $0.0436</em>

<em>Null hypothesis :H₀ : μ = $1.298 a gallon</em>

<em>Alternative Hypothesis : μ < $1.298 a gallon</em>

<em>Degrees of freedom : ν = n-1= 37-1=36</em>

<em>t₀.₀₂₅ = 1.688</em>

<em>Test statistic </em>

<em> </em> $t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }$ <em></em>

<em> </em> $t = \frac{1.192-1.298 }{\frac{0.0436}{\sqrt{37} } }$ <em></em>

<em> t = -14.8044</em>

<em>|t| = |-14.8044| > 1.688</em>

<em>Null hypothesis is rejected </em>

<em>Alternative hypothesis is accepted </em>

<em>Recent Gasoline surveys felt that gasoline price in Texas was significantly lower than the national average</em>

6 0

3 years ago

Which student wrote an expression equivalent to 6x + 4x to the third power? Choose all that apply.

FinnZ [79.3K]

Bart and David are correct.
Bart
6x(1+2/3^3)
6x * 1 = 6x
6x *2/3^3 = 4x^3
6x * 4x^3

David
x(6+4x^2)
x*6 = 6x
x*4x^2 = 4x^3
6x+4x^3

7 0

3 years ago

A total of $228,000 will be evenly spent to renovate 24 apartments. If the first 10 apartments have been completed and paid for,

tigry1 [53]

Step-by-step explanation:

Step 1: <em>Calculate per apartment;</em>

<em>⟼</em> 228,000 ÷ 24

⟼ 9,500

Step 2: <em>Multiply the price per apartment by 10;</em>

⟼ 9,500 × 10

⟼ 95,000

Step 3: <em>Substract the amount of 10 apartments from 24 apartments.</em>

<em>⟼</em><em> </em>228,000 - 95,000

⟼ 133,000

<u>Therefore, </u>$133,000 is still available for the remaining apartments.

5 0

2 years ago