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2 years ago

Russell runs 9/10 mile in five minutes. How many miles does he run in one minute

Mathematics

2 answers:

shepuryov [24]2 years ago

8 0

9/50 of a mile, you have to divide 9/10 by 5 to find the number of mile(s) he ran in a minute.

dem82 [27]2 years ago

3 0

9/10=5mins
times both sides by 1/5
9/50=1min

he can run 9/50 miles per minute

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Determine if this conjecture is true. If not, give a counterexample. The difference of two negative numbers is a negative number

Orlov [11]

That would be a false statement

6 0

2 years ago

Three trigonometric functions for a given angle are shown below. cosecant theta = thirteen-twelfths; secant theta = Negative thi

Kay [80]

Answer:

(–5, 12) is the correct answer.

Step-by-step explanation:

We are given the following values:

$cosec\theta = \dfrac{13}{12}\\sec\theta=-\dfrac{13}{5}\\cot\theta =-\dfrac{5}{12}$

Now, we know the following identities:

$sin \theta = \dfrac{1}{cosec\theta}\\cos \theta = \dfrac{1}{sec\theta}\\tan \theta = \dfrac{1}{cot\theta}$

Now, the values are:

$sin\theta = \dfrac{12}{13}\\cos\theta=-\dfrac{5}{13}\\tan\theta =-\dfrac{12}{5}$

Sine value is positive and cos, tan values are negative.

It can be clearly observed that $\theta$ is in 2nd quadrant.

2nd quadrant means, the value of $x$ will be negative and $y$ will be positive.

Let us have a look at the value of $tan\theta$ :

$tan\theta = \dfrac{Perpendicular}{Base}\\OR\\tan\theta = \dfrac{y-coordinate}{x-coordinate} = -\dfrac{12}{5}\\\therefore y = 12,\\x = -5$

Please refer to the attached image for clear understanding and detailed explanation.

Hence, the correct answer is coordinate (x,y) is (–5, 12)

8 0

2 years ago

Three times the sum of half Carlita's age and 3 is at least 12. What values represent Carlita's possible age?

cestrela7 [59]

Answer:

at least 6

Step-by-step explanation:

3(.5x+3)>12

1.5x+9>12

1.5>9

x>6

5 0

2 years ago

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A bakery sells 12 cookies for $24.00 If each cookie costs the same amount, how much does 1 cookie cost?.

zepelin [54]

Answer:

$2.00

Step-by-step explanation:

If you divide 12 by 24 you get 2. So $2 cookies.

Hope it helps :)))

3 0

2 years ago

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How would you choose to reduce the system shown to a 2 × 2? Explain why you would choose this approach. –3x + y – 2z = 10 (1) 5x

gladu [14]

-3x + y - 2z = 10 |* -1
3x - y +2z = -10
5x -2y -2z = 12
--------------------------- I add these equations term by term
8x - 3y = 2

-3x + y - 2z =10 ⇒ -3x + y - 2z =10
x -y +z = 23 | *2 2x - 2y + 2z = 46
----------------------------- I add these eq.
-x -y = 56

8x - 3y = 2
-x -y = 56

this is the system after i reduce it ( it has only two variables x and y)

4 0

2 years ago

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