Evaluate the expression if m =
-4, n = 1, p = 2, 9 = -6, r = 5, and t = -2.
|16+4(3q + p)|

The average number of breaths per minute would be 67.6 breaths per minute.

Average can be calculated by dividing the sum of the observation by the number of observations,

[tex]Average = \frac{sum of observations}{number of observation}[/tex]

Step by step Explanation:

Over the course of 5 minutes, the squirrel takes

65 + 73 + 67+ 71+ 62 = 338 breaths in 5 minutes

So, the sum of observation = 338 and

the number of observations = 5

So If you take that number and divide it by the number of minutes, you will get the average.

[tex]=\frac{338}{5}[/tex]  

 67.6 breaths per minute.

Thus, the correct answer is - 67.6 breaths per minute.

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Answer:

x = 2

Step-by-step explanation:

(x+16)/3 = 3x

=> x+16 = 3x × 3

=> x+16 = 9x

=> 16 = 9x - x

=> 16 = 8x

=> 16/8 = x

=> 2 = x

The algebaraic equation required is :

2.55x + 0.7 = 16

The number of pens Hannah bought is 6

If :

x = number of pens

4 more pencils Than pens ; Number of pencils = x + 4

2 fewer erasers than pens ; number of erasers = x - 2

Total amount spent = $16

The total number of items bought is :

(x) + (x + 4) + (x - 2)

Multiplying by the cost of each :

1.25x + 0.55(x+4) + 0.75(x-2)

Hence, Total amount spent can be represented as :

1.25x + 0.55(x+4) + 0.75(x-2) = 16

1.25x + 0.55x + 2.2 + 0.75x - 1.50 = 16

2.55x + 0.7 = 16

The algebraic equation is : 2.55x + 0.7 = 16

The number of pens Hannah bought can be calculated thus :

2.55x + 0.7 = 16

2.55x = 16 - 0.7

2.55x = 15.30

x = 15.30 / 2.55

x = 6

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Answer:

Step-by-step explanation: x = the number of pens Hannah bought

(x + 4) = the number of pencils Hannah bought

(x - 2) = the number of erasers Hannah bought

The equation to solve would be 1.25x + 0.55(x + 4) + 0.75(x - 2) = 16

1.25x + 0.55(x + 4) + 0.75(x - 2) = 16.00

1.25x + 0.55x + 4 * 0.55 + 0.75x - 2 * 0.75 = 16.00

1.25x + 0.55x + 2.20 + 0.75x - 1.50 = 16.00

1.25x + 0.55x + 0.75x = 15.30

2.55x = 15.30

x = 6

Note: if you didn't get a Whole Number, you know that you must've made a mistake. You can't buy part of a pen or pencil or eraser.

x = the number of pens Hannah bought = 6

(x + 4) = the number of pencils Hannah bought = 6 + 4 = 10

(x - 2) = the number of erasers Hannah bought = 6 - 2 = 4

You can check your work: 1.25(6) + 0.55(6 + 4) + 0.75(6 - 2) = 1.25(6) + 0.55(10) + 0.75(4) = 16 (check!)

9514 1404 393

Answer:

  15 sodas will give a maximum profit of 83

Step-by-step explanation:

For quadratic ax^2 +bx +c, the maximum occurs at x = -b/(2a). Here, we have ...

  a = -1/3, b = 10

  x = -b/(2a) = -10/(2(-1/3)) = 15

The profit for sale of 15 sodas is ...

  P(15) = (-1/3s +10)s +8 = (-1/3(15) +10)(15) +8 = 5(15) +8 = 83

The company would earn a maximum of 83 from sale of 15 sodas.

Answer:

The Properties of parallelogram are

a) Opposite sides are equal

b) All angles are not 90°

The Properties of trapezium are

a) One pair of opposite side is parallel

b) side of adjacent angle and non parallel side

of trapezium is 180°

The Properties of rhombus are

a) All sides are equal

b) All angles are not 90°

Answer:

53

Step-by-step explanation:

At first,

- 7 = 9 + x

By subtracting 9 from both sides, we get

-7-9=9+x-9

-16=x

Now,

By substituting the value of x in -3x + 5 , we get

-3x + 5

-3×(-16)+5

48+5

53

Answer:

Its D) 790.6

Step-by-step explanation:

All I can say is that I aced the test so.

The answer to the question what is the magnitude of Levi's effort is D 790.6 N

Since Gary is pulling due East with a force of 650 Newtons, June is pulling due North with a force of 450 Newtons, the force due to Levi will be equal to the resultant force from Gary and June.

Since both Gary and June pull due East and due North respectively and these directions are perpendicular to each other, their resultant force is

R = √[(650 N)² + (450 N)²]

R = √[422500 N² + 202500 N²]

R = √[625000 N²]

R = 790.57 N

R ≅ 790.6 N

Since the resultant force due to Gary and June is 790.6 N, this is equal to the magnitude of Levi's effort since the knot does not move.

So, the magnitude of Levi's effort is 790.6 N

So, the answer to the question what is the magnitude of Levi's effort is D 790.6 N

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After t hours, the first truck covers a distance of (70 km/h) t while the second truck covers a distance of (80 km/h) t. So the distance between them is

(70 km/h) t + (80 km/h) t = (150 km/h) t

They are 900 km apart after

(150 km/h) t = 900 km   ===>   t = (900 km) / (150 km/h) = 6 h

Answer:

2x^2 (5 - 9x + 7x^2)

Step-by-step explanation:

use the smallest exponent (x^2) and number (10) to factor

2 and x^2 could be factored from all

when factoring put exponents, you subtract them

2x^2 (5 - 9x + 7x^2)

Answer:

80 degrees

Step-by-step explanation:

add both the angles

Step-by-step explanation:

What other numbers are of this form have exactly four factors?

8 = 2³ has 4 factors 1, 2, 2², 2³

For any prime p, p³ has 4 factors 1, p, p², p³

Do all the perfect cubes have exactly four factors?

If p is not prime, then it is not true anymor

For instance, 8³ has more than 4 factors 1, 2², 2³,:

Is it true that all numbers that have exactly four factors are perfect cubes?

6 has 4 factors : 1, 2, 3, 6 but this is not a perfect cube.

Answer:

do you have a graph to go along with this?

3x

x+3

x-3

x/3

x³

3^x (write the x small and above the 3 the same way as the 3 is written with the x above)

Answer:

Step-by-step explanation:

2)

Answer:

Vertex (-2,-9)

x-intercepts -5 and 1

y-intercept -5

Step-by-step explanation:

Step-by-step explanation:

6m + 3z + 4m + 2w - 5z

6m + 4m + 3z - 5z + 2w

10m - 2z + 2w

Therefore the answer is 10m -2z + 2w

Answer:

12000

plss mark brainliest

Step-by-step explanation:

8000÷2/3

Explanation:

x = full tank capacity

2/3 of x = (2/3)*x = 8000 which is the amount Ron states when its 2/3 full

To solve for x, we will multiply both sides by 3 and then divide both sides by 2 like so

(2/3)x = 8000

2x = 8000*3

2x = 24000

x = 24000/2

x = 12000 liters is the full capacity

Note that,

2/3 of 12000 = (2/3)*12000 = 8000

which confirms our answer.

Answer:

(01.07) Which of the following describes the correct process for solving the equation 2x + 6 = 22 and arrives at the correct solution? (1 point) Divide both sides by 6 and then add 2. The solution is x = 8. Subtract 6 from both sides and then divide by 2. The solution is x = 8.

Answer:

2x-6=22

2x=22+6

2x=28

x=28/2

x=14

The possible value of the other number will be 7√32. The correct option is D.

A rational number is one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively. For instance, every integer and 3/7 are rational numbers.

It is given that the first number is 3√2 the value of the second number will be:-

Rational number  = 3√2 x 7√32

Rational number  = 21√64

Rational number  = 21√( 8 x 8 )

Rational number  = 21 x 8

Rational number  = 168

Therefore, the possible value of the other number will be 7√32. The correct option is D.

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#SPJ2

(NO)²

[tex]\huge\mathfrak\red{hope \: it \: helps}[/tex]

Answer:

I think it's Quebec

Step-by-step explanation:

because in canada's history, Canada remained a French territory until 1763 when it became the British colony of the Province of Quebec

Area of rectangle where Zebra spotted is 3.36 kilometer²

Step-by-step explanation:

Given that;

Zebras spotted in a  rectangular area

Dimensions of area is 1.4 kilometers by 2.4 kilometers

Find:

Area of rectangle

Computation:

[tex]Area\ of\ rectangle = length \times width\\[/tex]

Area of rectangle = 1.4 x 2.4

Area of rectangle = 3.36 kilometer²

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Answer:

PQ=

Step-by-step explanation:

Performance Qualification

(regarding business or acquiring a job)

Answer:

9.89 or 7 radical 2

Step-by-step explanation:

Answer:

first ma 8x+4y and bic ma 6x +5y last ma -2x+y

Answer:

B

Step-by-step explanation:

Using the Pascal's triangle

Pertaining to the 8th term the coefficients are;

1, 8, 28, 56, 70, 56,28, 8 and 1 in that order

Expanding this,

the coefficient of the term x^7y is 8

Answer:

12/4

Step-by-step explanation:

12/4

= 3/1

= 3

So, 12/4 = 3

Answer: 3.6

Step-by-step explanation: What i did was determined how many minutes are in a hour which are 60 minutes. so due to the fact that you're looking for the travel in (15) "minutes" I had to divide 54 by 15. Which gives you 3.6

Answer:

4/1>5/2 because

when solved 4>2.5