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3 years ago

Which of the following statements represents a correct relantionship

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

3 0

Hey there!

$\bold{345>354}$ is false because $\bold{345}$ is smaller/less than $\bold{354}$
$\bold{400$ is incorrect because $\bold{40}$ is smaller/lesser than $\bold{400}$
$\bold{4008$ is correct because $\bold{4080}$ is bigger than/ greater than $\bold{4008}$
$\bold{23,090=23009}$ is incorrect because $\bold{23090\neq23009}$

$\boxed{\boxed{\bold{Answer:C.)4008$

Good luck on your assignment and enjoy your day!

~ $\bold{LoveYourselfFirst:)}$

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Solve the system of equations using substitution

Sauron [17]

y = −2x + 1

4x + 2y = −1

Replace Y in the second equation with the value of Y in the first one.

4x + 2(-2x +1) = -1

Distributive Property:

4x + -4x + 2 = -1

Combine like terms:

2 = -1 which is not true, so there are no solutions.

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3 years ago

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8(C - 9) = 6(20 - 12) - 40

krek1111 [17]

Answer:

All Real Numbers

Step-by-step explanation:

Any value of <em>c</em> makes the equation true.

Interval Notation

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3 years ago

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What is the coefficient of the second term of the trinomial?

Lyrx [107]

Answer:

The coefficient of the 2nd term of trinomial is 18.

Step-by-step explanation:

You can expand in a faster way by using the formula, (a+b)² = a²+2ab+b² :

(3x+3)² = (3x)² + 2(3x)(3) + 3²

= 9a² + 18a + 9

You can expand it by doing step by step :

(3x+3)² = (3x+3)(3x+3)

= 3x(3x) + 3x(3) + 3(3x) + 3(3)

= 9x² + 9x + 9x + 9

= 9x² + 18x + 9

7 0

3 years ago

A waitress sold 12 ribeye steak dinners and 39 grilled salmon totaling $575.53 on a particular day. Another day she sold 25 ribe

Talja [164]

Answer:

cost of ribeye steak dinners = $10.36

cost of grilled salmon= $11.581

Step-by-step explanation:

Let the cost of one steak dinners be x

Let the cost of one grilled salmon be y

One a particular day the waitress sells 12 ribeye steak dinners and 39 grilled salmon for a total is $575.53 which can be written in equation as

12(x)+39(y)= $575.53-------------------------------------(1)

On another day she sells 25 ribeye steak dinners and 13 grilled salmon dinners totals to $582.43.This can be represented as

25(x)+ 13(y)= $582.43-------------------------------------(2)

solving the equation (1) and (2)

eq(1) x 1 $12x+39y= 575.53$

eq(2) x 3 $125x+ 39y= 1747.29$ -------------------------(3)

Subtracting these equation we get,

$113x=1171.76$

$x=\frac{1171.76}{113}$

x= 10.36

Now substituting this in equation (1)

$12(10.36)+39(y)= $575.53$

$123.84+39y=575.53$

$39y=575.53 - 123.84$

$y=\frac{451.69}{39}$

y=11.581

7 0

3 years ago

The Director of Admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall sem

VMariaS [17]

Answer:

Variance = 24900

Standard Deviation = 157.7973

Step-by-step explanation:

We are given the following in the question:

Number of admissions: 1000 1200 1500

Admissions Probability: 0.6 0.3 0.1

Formula:

$E(x) = \displaystyle\sum x_iP(x_i)\\E(x) = 1000(0.6) + 1200(0.3) + 1500(0.1)\\E(x) = 1110\\E(x^2) = \displaystyle\sum x_i^2P(x_i)\\E(x^2) = (1000)^2(0.6) + (1200)^2(0.3) + (1500)^2(0.1)\\E(x^2) = 1257000$

Variance =

$\sigma^2 = E(x^2) - (E(x))^2\\\sigma^2 = 1257000 -(1110)^2\\\sigma^2 =24900$

Thus, the variance is 24900.

Standard Deviation =

$\sigma = \sqrt{\sigma^2} = \sqrt{24900} = 157.7973$

Thus, the standard deviation is 157.7973

7 0

3 years ago