MATHEMATICS HIGH SCHOOL

Which inequality models this situation? The time between two trains must be greater than 37 minutes.

A.
t < 37

B.
37 > t

C.
37 – t = 0

D.
t > 37

Answers

Answer 1
Answer: The inequality t > 37 models the equation correctly, in which it is stated that the time between two trains must be more than 37 minutes. Here, t represents the time between the two trains.
Answer 2
Answer:

Answer:

The answer would be A

Step-by-step explanation:

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If a translation of T-3,-8 (x,y) is applied to square ABCD, what is the y-coordinate of B'?-12

-8

-6

-2

Answers

Answer:

  -6

Step-by-step explanation:

The y-coordinate of B is 2. Adding -8 to it makes the y-coordinate of B' be -6.

  2 -8 = -6

Answer:

-6

Step-by-step explanation:

The given translation is

T_(-3,-8) (x,y)

Which means that the original figure will be moved 3 units to the right and 8 units downwards.

Remember, when it comes to translations, when we subtract units to x that means the figure will be moved rightwards. And if we subtract units from y, that means the figure will be moved downwards.

So, the original figure has as vertex B(1,2). If we apply the transformation to its vertical cordinate y=2, we would have

y'=2-8=-6

Therefore, the right answer is the third choice -6.

What percent 591 is of 2364?

Answers

since percent means parts out of 100 then x/100=x%

the easy way is to do it is to divide 591 by 2364
591/2364=0.25
0.25/1 multiply by 100/100=25/100=25%

the answer is 25%
25% because you need to divide 591 by 2364 to get .25 then you move the decimal place over two to the right which gives you 25%!

A pool company claims that for optimal results customers should use 20 cups of 73% chlorine solution to treat their pools unfortunately the company only has an 80% chlorine solution and a 60% chlorine solution In stock how many cups of Each chlorine solution should be mixed to create the optimal solution?

Answers

Answer:

13 cups of the 80% chlorine solution + 7 cups of the 60% chlorine solution

Step-by-step explanation:

The pool company recommendation is 20 cups of 73% chlorine to treat their pool

Concentration of chlorine solution in stock = 80% and 60%

Therefore to make 20 cups of 73% solution, we require;

X cups of the 80% chlorine solution and

Y cups of the 60% chlorine solution

That gives 0.8·X + 06·Y = 0.73 × 20

X + Y = 20

Solving gives X = 13 cups

and Y = 7 cups

Therefore to  make the optimal solution, 13 cups of the 80% chlorine solution should be mixed with 7 cups of the 60% chlorine solution.

In order to maintain a healthy weight, an average adult dog that weighs 16 kilograms must consume 11 grams of dog food per kilogram of its body weight each day. A specialty pet store sells dog food by the cup, where 4 cups of dog food weighs 412 grams. About how many cups of dog food should the dog consume each day in order to maintain a healthy weight?

Answers

Approximately 1.7 cups because dog should consume 176 gram a day and one cup is 103 grams , so we just need to divide 176 on 103 and get 1.7 cups

Please can someone help me out? am getting different answers thanks

Answers

2(2)^2 + 3(2)(-4) - 4(-4)^2 I get -80 as my answer

Find all solution of the equation.
y=-x
y=xlnx

Answers

\left\{\begin{array}{ccc}y=-x\ny=xlnx\end{array}\right;\ \ \ D:x\in\mathbb{R^+}\n\nxlnx=-x\n\nxlnx+x=0\n\nx(lnx+1)=0\iff x=0\notin D\ or\ lnx+1=0\n\nlnx=-1\iff x=e^(-1)\to x=(1)/(e)\in D\n\nAnswer:x=(1)/(e)\ and\ y=-(1)/(e)
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