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Alex_Xolod [135]
3 years ago
13

What is 1/2 of 2/3 enter your answer as a fraction in lowest terms

Mathematics
1 answer:
WARRIOR [948]3 years ago
6 0
You can multiply the fractions together to get the final answer. To multiply fractions you can times the top and the bottoms of both fractions together to get the new fraction;
1/2 * 2/3 = (1*2)/(2*3) = 2/6

Then you can simplify the fraction, to do this you can find a common number between the top and the bottom fractions and then you can divide the top and the bottom by that common number. In this case the common number between the two fractions is 2;
(2/2)/(6/2) = 1/3

The answer is 1/3,
Hope this helps! :)
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Solve for x and y simultaneously:<br> X-2y=3<br> 4xsquared-5xy+6y=3
Mkey [24]
X - 2y = 3
<span>4x^2 - 5xy + 6y = 3
lets solve for x the first and substitute in the second:
x = 3 + 2y
4(</span>3 + 2y)^2 - 5(3 + 2y)y + 6y = 3
4(9 + 12y + 4y^2) - 15y - 10y^2 = 3
36 + 48y +16y^2<span> - 15y - </span><span>10y^2 = 3
6y^2 + 33y + 33 = 0
we can solve using the general quadratic formula:
y = (-33 +- </span>√(33^2 - 4*6*33)<span>)/12
</span>y = (-33 +- √(297)<span>)/12
</span>so there are 2 solutions for y:
y1 = (-33 + √(297)<span>)/12
</span>y2 = (-33 - √(297)<span>)/12
</span>pick one and then substitute the y value in the first equation to find x
4 0
3 years ago
Read 2 more answers
A robotic machine fills containers with an acid solution at the rate of 50 + 5 t milliliters (mL) per second, where t is in seco
Alika [10]

Answer:

12,000

Step-by-step explanation:

The machine fills the containers at a rate of 50+5t milliliters (mL) per second.

Therefore, the rate of change of the number of containers, N is:

\dfrac{dN}{dt}=50+5t, 0\leq t\leq 60

dN=(50+5t)dt\\$Taking integrals of both sides\\\int dN=\int (50+5t)dt\\N(t)=50t+\frac{5t^2}{2}+C $(C a constant of integration)\\\\When t=0, , No containers are filled, therefore:$ N(t)=0\\0=50(0)+\frac{5(0)^2}{2}+C\\C=0\\$Therefore, N(t)=50t+2.5t^2

When t=60 seconds

N(60)=50(60)+2.5(60)^2\\N(60)=12000$ mL

Therefore, 12,000 milliliters of acid solution are put into a container in 60 seconds.

7 0
3 years ago
HELP!! ASAP!!!!! Which system of equations below has infinitely many solutions?
KengaRu [80]
Hello,

Answer B since
(y=-3x+4)* 3==> 3y=-9x+12 which is the second equation ==>infinity many solutions.

6 0
3 years ago
Read 2 more answers
Heights for women are bell-shaped with a mean of 65 inches and standard deviation of 2.5 inches. If a random sample of 16 women
loris [4]

Answer:

μ= 65 inches; σ= 0.625 inch

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed(bell-shaped) random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 65, \sigma = 2.5

By the central limit theorem, the sample of 16 will have:

\mu = 65, \sigma = \frac{2.5}{\sqrt{16}} = 0.625

So the correct answer is:

μ= 65 inches; σ= 0.625 inch

8 0
3 years ago
Ellie’s parents travel down to see her and have a look at the property. When they set off, the mileage on the car reads 46,817 a
Nitella [24]
46817-47411=-594
|-594|=594
594 mi
3 0
3 years ago
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