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2 years ago

2 MIDDLE SCHOOL QUESTIONS

Mathematics

2 answers:

Furkat [3]2 years ago

7 0

They should both be answer c

vredina [299]2 years ago

3 0

Answer:

The answer to number 1 is c the answer to number 2 is c

Step-by-step explanation:

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1/2 of Pete's class brought in valentines. 3/4 of the kids who brought in valentines also brought on candy. If there are 24 stud

s344n2d4d5 [400]

24÷2 (because 1/2 is equivalent to 2) =12 12÷ 4 (because 3/4 is equivalent to 4) = 3. 3 students brought in valentine's and candy

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3 years ago

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John is 3 years younger than twice Monica's age. If m represents Monica's age, which equation can be used to find j, John's age?

AnnZ [28]

Answer:

J =2m -3

Step-by-step explanation:

2m is twice Monica's age

-3 represents 3 years younger

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3 years ago

Und your answers to the near 6(7y + 8) = 22

Vladimir [108]

Answer:

y=⁻ $\\\frac{13}{21}$ should be your answer in decimal form its y=-0.619047

Step-by-step explanation:

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3 years ago

Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible. Let x be the number and let

Allisa [31]

Answer:

$S(x) = x + \frac{1}{x}$ --- Objective function

Interval = $\{x:x=1\}$

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

$x + \frac{1}{x}$

Hence, the objective function is:

$S(x) = x + \frac{1}{x}$

To get the the interval, we start by differentiating w.r.t x

Using first principle, this gives:

$S'(x) = 1 - \frac{1}{x^2}$

Equate S'(x) to 0 in order to solve for x

$0 = 1 - \frac{1}{x^2}$

Subtract 1 from both sides

$0 -1 = 1 -1 - \frac{1}{x^2}$

$-1 = - \frac{1}{x^2}$

Multiply both sides by -1

$1 = \frac{1}{x^2}$

Cross Multiply

$x^2 * 1 = 1$

$x^2 = 1$

Take positive square root of both sides because x is positive

$\sqrt{x^2} = \sqrt{1$

$x = 1$

Representing x using interval notation, we have

Interval = $\{x:x=1\}$

To get the smallest sum, we substitute 1 for x in $S(x) = x + \frac{1}{x}$

$S(1) = 1 + \frac{1}{1}$

$S(1) = 1 + 1$

$S(1) = 2$

Hence, the smallest sum is 2

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3 years ago

FRÉD AND ETHEL WACHED TV FOR SEVERAL HOURS ONE AFTERNOON. THEY BEGAN AT 1:30 P.M AND CONTINUED WACHING TV FOR 3 HOURS AND 45 MIN

QveST [7]

$30 + 45 =75$
$3 + 1 = 4$
There are 60 minutes in one hour, so 75 minutes is equal to 1 hour and 15 minutes.

$4 + 1 = 5$
Their mom turned the TV off at 5:15.

7 0

3 years ago