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Salsk061 [2.6K]
3 years ago
6

Work out 60 × 2/3 (2 over 3)

Mathematics
1 answer:
Taya2010 [7]3 years ago
3 0
Solution:
60 x 2/3
60/1 x 2/3 
120/3
40 
Answer:
40

hope this helps!

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find three consecutive integers such that the sum of twice he smallest and 3 times the largest is 126.
vladimir1956 [14]
a,a+1,a+2\ \ -\ three\ consecutive\ integers\\\\
2a+3(a+2)=126\\\\
2a+3a+6=126\\\\
5a+6=126\ \ \ |Subtract\ 6\\\\
5a=120\ \ \ |Divide\ by\ 5\\\\
a=24\\\\Numbers\ are:\ 24,25,26.
8 0
3 years ago
Find the equation of the line through the point (2, 5) that cuts off the least area from the first quadrant. Give your answer us
Amanda [17]

The equation of the line would be

y = mx+b 

where m is the slope, b is the y intercept. 

<span>The line will form a triangular region in the first quadrant. Its area would be 1/2 base times height. The height is the y intercept and the base is y intercept divided by slope. Therefore,</span>

A = b^2/2m

At point (2,5)

5 = 2m+b

Substitute that in the area

A = b^2/5-b to find the least area, differentiate the area with respect to the height and equate it to 0 

dA/db = 0

<span>find b and use that to find m. Then, you can have the equation of the line.</span>


4 0
3 years ago
Read 2 more answers
What are the sine, cosine, and tangent of circle = 3pi/4 radians?
KengaRu [80]

if  you don't have a Unit Circle yet, this is a good time to get one, you can find many online, check maybe in yahoo images, or google images.

Check the picture below.

notice the section encircled in purple.

7 0
3 years ago
If the present value of my investment is $8,000 and the rate of interest is 12% compounded annually, what will the value be afte
Dvinal [7]

Answer:

$17,685.45

Step-by-step explanation:

We will use the compound interest formula to solve this:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

The first step is to change 12% into a decimal:

12% -> \frac{12}{100} -> 0.12

Next, lets plug in the values:

A=8,000(1+\frac{0.12}{1})^{1(7)}

A=17,685.45

After 7 years, you will have $17,685.45

4 0
3 years ago
Can u help me part 3..
Studentka2010 [4]
Yup I can! (For the third time ;) )
This one was a bit tricky for me, So I am 90% sure ;)
Answer: 336pi in^2

Explanation: The explanation is quite long, so I won't go into much detail :) Just keep the formula in mind!! :>

If available please give me a Branliest. It would be much appreciated.

- Mathhotdog •~•
8 0
3 years ago
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