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Neporo4naja [7]
3 years ago
7

Subtract the fractions 6/8 - 4/6 =

Mathematics
2 answers:
____ [38]3 years ago
8 0
1/12 is the correct answer
Jet001 [13]3 years ago
5 0
The correct answer is 1/12
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The cost, C, in millions of dollars of producing T million tons of steel is modeled by the equation C = 220T + 1890.
kobusy [5.1K]

C = 220T + 1890.

Solve the equation for T.

220T = C - 1890

T = C/220 - 8.6

The steel produced is expected to be sold at a price of $310 per ton.

310 $/ton is a rate or slope. Write a linear equation where x is tons of steel produced and y is selling price of the steel.

y = 310x

Write and solve an equation to find the amount of steel produced if the selling price is equal to the cost of production.

* Here, note that the cost of production and tons of steel in the first equation is in the millions.  The equation we just wrote for the selling price was in x tons of steel. This only matters in regards to the units you specify because; million/million = 1

The unit multiplier of all variables must be specified as same. Either everything is in millions or not.

Here, I'll leave everything in millions, change x (tons of steel) to T (mill tons steel) and "y" to "S" in million dollars selling price.

S = 310T

Set equal to Cost equation.

220T + 1980 = 310T

Solve for T, million tons of steel produced.

1980 = 310T - 220T

1980 = 90T

T = 1980/90

T = 22 million tons steel produced


7 0
3 years ago
Please help me <br><br>If 180°&lt;α&lt;270°, cos⁡ α=−8/17, what is sin -α?
rewona [7]

Starting from the fundamental trigonometric equation, we have

\cos^2(\alpha)+\sin^2(\alpha)=1 \iff \sin(\alpha)=\pm\sqrt{1-\cos^2(\alpha)}

Since 180, we know that the angle lies in the third quadrant, where both sine and cosine are negative. So, in this specific case, we have

\sin(\alpha)=-\sqrt{1-\cos^2(\alpha)}

Plugging the numbers, we have

\sin(\alpha)=-\sqrt{1-\dfrac{64}{289}}=-\sqrt{\dfrac{225}{289}}=-\dfrac{15}{17}

Now, just recall that

\sin(-\alpha)=-\sin(\alpha)

to deduce

\sin(-\alpha)=-\sin(\alpha)=-\left(-\dfrac{15}{17}\right)=\dfrac{15}{17}

6 0
3 years ago
Read 2 more answers
The endpoints of the segment AB are A(-2,4) and B(4,0). Find the endpoints of the image after the segment is reflected over the
serious [3.7K]

Answer:

A' ( 2, 4) and B' ( -4, 0)

Step-by-step explanation:

A ( -2, 4) and B( 4,0)  reflected over the y-axis

A' ( 2, 4) and B' ( -4, 0)

the y-coordinate do not change and the x is opposite sign

(x,y) reflected over y-axis (-x, y)

3 0
3 years ago
What is the 25% discount of $120 dollars?
Varvara68 [4.7K]
25% discount of $120
=100*0.25
=$25
3 0
3 years ago
Akiko is making a pizza. The radius of the pizza is 19 inches. What is the circumference of the pizza (use 3.14 for pi and round
RideAnS [48]

Answer:

≈119.3

Step-by-step explanation:

The area for circumference is as follows:

C = 2\pi r\\or\\C = d\pi

The above equations mean the same thing, because the diameter is just 2 times the radius.

Anyhow, we insert this value into the equation...

C = 2\pi(19)\\C = 38(3.14)\\C = 119.32\\

This rounds to:

≈119.3

5 0
3 years ago
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