Which is the correct algebraic expression for each phrase?
2.5 times as many pages.

a. 2.5p
b. p+2.5
c. 2.5÷p
d. p-2.5

Answer:

10

Step-by-step explanation:

The required value of s to minimize the surface area of the prism is given as 10.

A triangular prism has 2 triangles as their top and bottom and three other faces as rectangles. The volume of the prism is given as the product of its height and base area.

The given problem can be solved as follows,

The expression for the volume of the prism is given as,

V = √3/4 × s²h

Substitute V = 250 to obtain,

250 = √3/4 × s²h

⇒ s²h = 1000/√3                       (1)

And, the expression for the surface area is given by,

A = 3 × sh +  √3/4s²

Substitute h = 1000/(√3s²) in the above equation to obtain,

A = 1000√3/s + √3/4s²

In order to get the minimum area differentiate A with respect to s and equate it to zero to get,

dA/ds = 0

⇒ √3/2s - 500√3/s² = 0

⇒ s = 10

Hence, in order to minimize the area the the value of s is obtained as 10.

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Answer: 16,000 litres

Step-by-step explanation:

1/16 of the pool is 2000l

8/16 full is 1/2 of the pool full

1/16 = 2000

8/16 = x

Cross multiply

1/16x = 2000 × 8/16

1/16x = 1000

Multiply both sides by 16

x = 16000

To make the pool half full, 16,000 litres is required.

16000 liters of water is required to make the pool half full.

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Suppose we have two ratio p : q and r : s.

If both these ratios are proportional, then we can write it as p: q : : r : s.

This is same as p : q = r : s or p/q = r/s

Given that,

A swimming pool containing 2000l of water is 1/16 full.

We have to calculate the amount of water required to make the pool half full.

Let x be the liter of water required to make the pool half full.

Using proportional concept,

2000 : 1/16 = x : 1/2

This can be written as,

2000 / (1/16) = x / (1/2)

2000 × 16 = 2 x

x = (2000 × 16) / 2

x = 16000

Hence it would require 16000 liters of water to make half full pool.

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Step-by-step explanation:

Matrix budgeting is a model developed to evaluate where your additional money goes or should go, and it helps to manage personal finances. Also called as a budget matrix, it's a plan or a blueprint in chart or table form designed to allocate financial resources in the ranking order of your goals and priorities.

Answer:

-2a+3b...............

Answer:

600

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

100 + 50 × 10

Step 2: Evaluate

Answer:

1x

Step-by-step explanation:

Answer:

2xy+xz-7x

Step-by-step explanation:

Answer:

2yx + xz - 7x

Step-by-step explanation:

x(2y + z - 7)

distribute

(x * 2y) + (x * z) + (x * -7)

2yx + (x * z) + (x * -7)

2yx + xz + (x * -7)

2yx + xz + -7x

2yx + xz - 7x

Answer:

the answer is 3.1

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

Counted 8 down and 5 to the right.

Answer:

ok lol

Step-by-step explanation:

Answer:

Period = pi

Angular frequency = 2

Amplitude = 5

Midline is the line y = 3

Step-by-step explanation:

A sinusoidal wave is written in the general form as:

f(x) = A*cos(w*x) + C

Where:

- A is the amplitude.

- w is the angular frequency, this is equal to 2*pi/T

  where T is the period.

- y = C is the midline.

Then in the equation:

f(x) = 5*cos(2*x) + 3

- 5 is the amplitude.

- 2 is the angular frequency (in the image is called frequency, but this quantity must be in radians/time, while the normal frequency is only in Hz)

- We know that the angular frequency is equal to 2*pi/T, whit this eqation we can find the period:

2 = 2*pi/T

T = 2*pi/2 = pi

pi is the period.

- y = 3 is the midline.

Answer:

45 democrats

Step-by-step explanation:

if there are 55 Republicans

100-55= 45

your question was worded weirdly so I tried my best

hope it helps :)

As per the table the party affiliation of 100 senators then the independents is 1.

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the provided by question,

55 republicans in ratio 5:4 so,

55/5

=11

11x4 = 44

independents = what's left, then

55+44=99

independents = 1

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Step-by-step explanation:

[tex]18t \: + 11v = w - 13t[/tex]

[tex]18t + 13t = w - 11v[/tex]

[tex]31t \: = w = - 11v[/tex]

[tex]t \: = \frac{w - 11v}{31} \\ [/tex]

Answer33 percent

Step-by-step explanation:

just subtract 68 from 100

Answer:

32

Step-by-step explanation:

100-68 =32 hope this will help u

Answer:

The indifference point is 2.1 hours.

Step-by-step explanation:

First, we need to calculate the total cost for each option:

Dealership:

Total cost= 24 + 99x

Local mechanic:

Total cost= 45 + 89x

x= number of hours

Now, we need to equal both formulas and isolate x:

24 + 99x = 45 + 89x

10x = 21

x= 2.1

The indifference point is 2.1 hours.

Prove:

Total cost= 24 + 99*2.1= $231.9

Total cost= 45 + 89*2.1= $231.9

Answer:

346 ounces

Step-by-step explanation:

17.3 times 20

[tex]42 - 42 \times 15\%[/tex]

[tex] =42 - 42 \times \frac{15}{100} [/tex]

[tex] =42 - 21 \times \frac{15}{50} [/tex]

[tex] =42 - \frac{315}{50} [/tex]

[tex] = 42 - 6 \: \frac{15}{50} [/tex]

[tex] = 41 \: \frac{50}{50} - 6 \: \frac{15}{50} [/tex]

[tex] = 35 \: \frac{35}{50} [/tex]

[tex] = 35.70[/tex]

The family did spend $35.70 on the meal after the coupon

[tex]35.70 + 42 \times 20\%[/tex]

[tex] = 35.70 + 42 \times 0.2[/tex]

[tex] = 35.70 + 8.4[/tex]

[tex] = 44.10[/tex]

The family did spend $44.10 on the meal in total.

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Answer:

no nononononmonno

Step-by-step explanation:

jahgajahahahhahahahahhavdbsvfbsbdvdv

Answer:

21t

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

6(10)+15

60+15

Answer:

75

Step-by-step explanation:

Substitution:

6a+15                    (a=10)

6*10+15

60+15

75

Answer: 2 :))

Step-by-step explanation: hope you also have a good day!!

Answer:

the correct answer would be 2

Step-by-step explanation:

have a good day also

Answer:

-3

Step-by-step explanation:

subtract 6 by both sides

then divide by -2

Answer:

Step-by-step explanation:

Answer:

heyyyyyy

Step-by-step explanation:

Answer:

2nd one...............

Answer:

1,127.00

Step-by-step explanation:

The total cost overall is 1,118.83. However you can round and estimate it to 1,127.00

Answer:

y=-x-7

Step-by-step explanation:

So the line goes down one unit for every unit it goes to the left.

Slope is rise over run which would be -1/1 (simplify to -1)

The line crosses the y axis at -7

So to put it in slope-intercept form (y=mx+b) it would be y=-1x-7

You don't have to include the one in -1x because its the same as saying -x

Answer: 20-w33

Step-by-step explanation:

So easy yaar! SO. EASY!

Just find the slope by connecting the megapixel by the hardrive!

Then calculate the cheese fromage from the stroop waffle, simply add the chemistry hypothecary theory, and your're set!

Don't forget to comma the C's and capitalize the G's!

Answer:

4 small blocks

Step-by-step explanation:

Answer:

A is 3 B is 4 and C is 2

Step-by-step explanation:

this is most likely right unless your usong a diffrent formula

Answer:

point zero zero three eight three

Answer: three thousandths

Step-by-step explanation:

hope this helped