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Zielflug [23.3K]

3 years ago

15

Mega middle school had a valentine dance four fifths of the students plus 7 teachers were there if there was 495 people at the d

ance how many students attend the school

1 answer:

maria [59]3 years ago

6 0

495-7=488
488/4=122
122*5=610

The answer is 610 students attend the school.

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Is the answer a, b, c, or d.

ale4655 [162]

The correct answer is d.

We have the following system of linear equations:

(I) $4x+7y=-14$
(II) $8x+5y=8$

Let's use the elimination method, then let's multiply the equation (1) $\times(-2)$ and subtracting (I) and (II):

(I) $-2(4x+7y)=-2(-14)$
∴ $-8x-14y=28$

(I) $-8x-14y=28$
(II) $8x+5y=8$
____________________
(III) $-9y=36$

∴ $y=-4$

We can find the value of x by substituting y either in (I) or (II). Thus, from (I):

$4x+7(-4)=-14$
∴ $4x-28=-14$
∴ $4x=14$
∴ $x=\frac{14}{4}$
∴ $\boxed{x=\frac{7}{2}}$

Let's substitute the values of x and y into (I) and (2)

(I) $4(\frac{7}{2})+7(-4)=14-28=-14$
(II) $8(\frac{7}{2})+5(-4)=28-20=8$

Finally the answer is:

$\boxed{x=\frac{7}{2} \rightarrow x= 3 \frac{1}{2}}$

4 0

2 years ago

C= X+ H solve for C write the answer in the comments plz

navik [9.2K]

It’s already solved for C

4 0

3 years ago

If triangle ABC is reflected across the y-axis, what are the coordinates

mr Goodwill [35]

<h3>Answer: Second choice. (-5,4)</h3>

Point A is located at (5,4)

To reflect over the y axis, we flip the sign of the x coordinate while keeping the y coordinate the same. The rule is $(x,y) \to (-x,y)$

So we will have $(5,4) \to (-5,4)$ as the location of A'

6 0

2 years ago

What is the opposite of 1/2??

irakobra [83]

Answer:

-1/2 is the opposite

Step-by-step explanation: -x is the opposite for number x, whatever x is

3 0

2 years ago

The figure below shows a rope that circles the earth. the radius of the earth is 6371 kilometers

ValentinkaMS [17]

<h2><u>Appropriate Question :-</u> </h2>

The figure below shows a rope that circles the Earth. The radius of the Earth is 6371 kilometers. Assuming the rope makes a perfect circle, what is the length of this rope? Give your answer in terms of pi. kilometers.

<h3>____________________</h3>

<h2><u>Solution :-</u></h2>

<h3><u>Given Information :-</u></h3>

<u>Radius of Earth ➢</u> 6,371 km
A rope completely circles the Earth
Earth is a circle

<h3><u>To Find :-</u></h3>

The Length of rope in terms of π ( pi. )

<h3><u>Formula Used :-</u></h3>

$\pmb{ \bold{ \underline{ \boxed{\boxed{ \sf {perimeter \: of \: circle \:(circumference)= \red{ 2\pi r}}}}}}}$

<h3><u>Calculation :-</u></h3>

∵ The rope completely circles the Earth

⇒ Length of the rope = Perimeter of the Earth

∵ Formula to calculate the perimeter (circumference) = 2πr

∵ Earth is mentioned as a circle here, it's radius is 6,371 km

<em><u>Substituting the values in the formula, We get, </u></em>

⇒ Perimeter of Earth = 2 × π × 6,371 km

<em><u>Calculating further, We get, </u></em>

⇒ Perimeter of Earth = 12,742π km

As stated earlier, perimeter of Earth = length of rope

⇒ The perimeter of Earth is 12,742π km

∴ The length of the rope is 12,742π km

<h3>____________________</h3>

<h2><u>Final Answer :-</u></h2>

The Length of rope circling the Earth in terms of π ( pi. ) is 12,742 km.

<h3>____________________</h3>

<h3><u>Note :-</u></h3>

<em>Please scroll from right to left to see the whole solution. </em>

4 0

2 years ago