Formulae
The formula for working out the amount of
pasta, in grams, for a meal is

Amount of pasta=125 x number of people

Work out the amount of pasta needed for

A) 2 people
B) 10 people

Answer:

x=45/3

Step-by-step explanation:

Since total cost for equally priced three DVDs is $45. Therefore, each should cost 45 divided by 3.

Answer:

$15

Step-by-step explanation: easy 45/3 since they are equally prized which would equal 15

Answer:

0.125

7.50/60=1.25

since there 60 minutes in one hour you would divide the hourly rate by 60.

Step-by-step explanation:

(a + b + c)^2 = (a^2 + b^2 + c^2) + 2(ab + bc + ca).

Therefore 9^2 = (a^2 + b^2 + c^2) + 2(12).

a^2 + b^2 + c^2 = 81 - 24 = 57.

Please find attached photograph for your answer.

Answer:

8t

Step-by-step explanation:

Add 0 to 8 and then add the letter variable t.

Answer:

2

Step-by-step explanation:

Pull out like factors :

  2x - 4  =   2 • (x - 2)

(4x +  (2 • (x - 5))) -  6 • (x - 2)

 (4x +  2 • (x - 5)) -  6 • (x - 2)

Final Answer:

2

Answer:

The answer is below

Step-by-step explanation:

Let x represent a first place finish, y represent a second place finish and z represent a third place finish.

Since there is a total of 20 individual events, hence:

x + y + z = 20          (1)

A first place finish is 5 point, a second place finish is 3 point and third place finish is 1 point. Therefore:

5x + 3y + z = 68      (2)

The second  place finishers is as much as first and third-place  finishers combined. Hence:

y = x + z                   (3)

Solving equation 1, 2 and 3 simultaneously gives:

x = 7,  y = 10 and z = 3

This means the number of first place finishes was 7, second place finishes was 10 and third place finishes was 3

Sea level starts at 0m

Since we start at 0 and it is 20m above sea level, we can add.

0 + 20 = 20m

Therefore, the elevation is 20m

Best of Luck!

Answer:

1.5

Step-by-step explanation:

Answer:

Improper Fraction: [tex]\frac{10}{6}[/tex]

Proper Fraction: [tex]1\frac{4}{6}[/tex]

Simplified Proper Fraction: [tex]1\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]\frac{5}{6} + \frac{2}{3}[/tex] Is our equation... first we must find a common denominator! Let's take a look...

6: 1, 6, 12

3: 1, 3, 6

We see that both numbers get to 6 so we use that as our common denominator. Now we plug that in...

[tex]\frac{5*1}{6*1} +\frac{2*2}{3*2}[/tex]

We get...

[tex]\frac{5}{6} +\frac{4}{6} = \frac{10}{6}[/tex]

Now if you want to leave it as an improper fraction your answer will be [tex]\frac{10}{6}[/tex]. However, if you want you answer to be a proper fraction your answer is [tex]1\frac{4}{6}[/tex] which can be simplified further to,[tex]1\frac{2}{3}[/tex].

Whew! What a toughie! We showed that math problem!

Answer:

-2 or 2

Step-by-step explanation:

So we have the equation:

[tex]x^2-4=0[/tex]

Add 4 to both sides:

[tex]x^2=4[/tex]

Take the square root of both sides:

[tex]x=\pm 2[/tex]

Therefore, our answers are -2 or 2.

And we're done :)

Answer:

540 CM

Step-by-step explanation:

The perimeter means the sum of the distance around a particular shape

1M=100 CM

2M=200 CM

200+60+80+100+100=540CM

In Left BOX

in Right Box

Equilibrium, reflexivity, symmetry, transitivity, and the properties of operations are all solved by equations' properties. These properties hold true in propositional language as well as in algebra and arithmetic.

Hence, Here the solution is a step toward solving the given equation by using simplification.

Learn more about the properties of the equation here:

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Answer:

The function is missing in the question. The function is [tex]$ C(x) = 0.8x^2 -544x +97410 $[/tex]

The answer is 4930

Step-by-step explanation:

Unit cost of a car is given as

[tex]$ C(x) = 0.8x^2 -544x +97410 $[/tex]

Cost will be minimum when

x = -(-544)/ 2 x 0.8

  = 340

Therefore, minimum cost for unit car is

[tex]$ C(x) = 0.8x^2 -544x +97410 $[/tex]

[tex]$ = 0.8(340)^2 -544(340) +97410 $[/tex]

=  4930

Answer:

87.75

Step-by-step explanation:

Answer:

x³-3x²-14x-24

Step-by-step explanation:

(x-6)(x^2+3x+4)

first multiply x by x^2+3x+4

x×x²=x³

x×3x=3x²

x*4=4x               add

x³+3x²+4x ( first part)

multiply -6 by x²+3x+4

-6x²-18x-24

x³+3x²+4x -6x²-18x-24  ( simplify)

x³-3x²-14x-24

Answer:

Statement 2, Statement 4, and Statement 5 all applies

Step-by-step explanation:

Statement 1:

The expression 50ℎ represents the total charge for Rock the House Digital Designs.

Rock the House Digital Designs:

Initial consultation charge of $500 + $50 for every additional hour of work for the house plans

500 + 50h

NOT TRUE

Statement 2:

The expression 75ℎ represents the total charge for Elegance Home Architects.

Elegance Home Architects:

$75 per hour for the house plans

75h

TRUE

Statement 3:

The cost for using Rock the House Digital Designs for an initial consultation only is $550.

The cost for using Rock the House Digital Designs for an initial consultation only is $500

NOT TRUE

Statement 4:

If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.

Rock the House Digital Designs = 500 + 50h

500 + 50(15)

= 500 + 750

= $1,250

Elegance Home Architects = 75h

= 75(15)

= $1,125

TRUE

Statement 5:

If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.

Rock the House Digital Designs = 500 + 50h

= 500 + 50(40)

= 500 + 2,000

= $2,500

Elegance Home Architects = 75h

= 75(40)

= $3,000

TRUE

The most likely next step in the series is Option B.

Option B is the correct answer.

A series of patterns is a sequence of related designs, shapes, colors, or other elements that follow a consistent and predictable order.

The patterns may repeat or vary in a systematic way, creating a sense of rhythm, symmetry, or harmony.

We have,

From the series of patterns, we see that,

The number of arrows is increasing in odd arithmetic numbers.

So,

1, 3, 5,

The next step must have 7 arrows.

And,

The color is alternated as:

Red, Blue, Red Blue.

So,

The next step in the series must be a blue color.

Thus,

The most likely next step in the series is Option B.

Learn more about a series of patterns here:

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Answer:

-1

Step-by-step explanation:

When you add a positive num to a negative number the negative number goes in the direction towards zero.

hope this helps you:)

Answer:

The confidence interval is  (0.1008, 0.1792)

Step-by-step explanation:

According to the question, the data provided is as follows

p′=0.14

sampling standard deviation of σp′= 0.02

Based on the above information

The computation of the 95% confidence interval for the true or correct proportion is

Here we apply the z value of 95% confidence interval i.e. 1.96

Now the confidence interval is

[tex]= (pcap - z\times sigma, pcap + z\times sigma)\\\\= (0.14 - 1.96\times 0.02, 0.14 + 1.96\times 0.02)\\\\= (0.1008, 0.1792)[/tex]

Answer:

1/100

Step-by-step explanation:

Answer:

0.1 can be written as 1/10

Step-by-step explanation:

0.1*10/1*10

Answer:

[tex]i^{85} = i[/tex]

Step-by-step explanation:

The options are missing; however, the question can still be solved.

Given

[tex]Number = i^{85}[/tex]

Required

Simplify

[tex]Number = i^{85}[/tex]

Rewrite 85 as 84 + 1

[tex]Number = i^{84 + 1}[/tex]

Split the expression using the law of indices

[tex]Number = i^{84} * i^1[/tex]

Rewrite 84 as 4(21)

[tex]Number = (i^{4})^{21} * i^1[/tex]

In complex numbers, [tex]i^4 = 1[/tex]

So, we have

[tex]Number = 1^{21} * i^1[/tex]

[tex]Number = 1 * i[/tex]

[tex]Number = i[/tex]

Hence;

[tex]i^{85} = i[/tex]

Answer:

4

Step-by-step explanation:

let 'x' be the unknown number

let's change the statment to an equation

2x + 10 = 6 (x-1)

2x + 10 = 6x - 6

2x - 6x = -6 - 10

-4x = -16

-4x = - 16

-4. -4

x = 4

hope u like it ❤❤❤

For any question comment me

Answer:

4

Step-by-step explanation:

Step-by-step explanation:

Year 2006- y = 0.09 (6) + 0.04 = 0.58

Year 2008- y = 0.09 (8) + 0.04 = 0.76

Year 2010- y = 0.09 (10) + 0.04 = 0.94

Year 2012- y = 0.09 (12) + 0.04 = 1.12

Year 2014- y = 0.09 (14) + 0.04 = 1.3

"Let x = 6 which is corresponded to 2006", so 8 would correspond to 2008, 10 would correspond to 2010, 12 would correspond to 2012, and 14 would correspond to 14. Plug 6 for x into your equation and do them same for the others.

Hopefully this helps you! :)

Answer:

6 and 7 sorry if im wrong

Step-by-step explanation:

I'm not sure what you're looking for exactly, but it translates to this equation

4x + 7 = 31

Answer:

addition

Step-by-step explanation:

18 ( d - 9 ) = 198

     3

divide both side by 18

d - 9 = 198  

3             18

d - 9 = 11

3

multiply both sides by 3

d - 27 = 33

add 27 to both sides

d = 33 + 27

lastly, add them together

d = 60

therefore, the last step is addition

Answer:

[tex]\frac{3r}{s}[/tex]

Answer:

It’s 2

Step-by-step explanation:

Answer:

d < 64

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