30 points and brainliest answer asap pls

The system of equations that can be used to model the situation is:

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Together they packed 27 boxes, hence:

[tex]x + y = 27[/tex]

David packed 3 more than half the number Juan packed, hence:

[tex]y = 3 + \frac{1}{2}x[/tex]

Hence, the system of equations that models the situation is:

You can learn more about system of equations at https://brainly.com/question/25960609

Answer:

[tex]⟼3x {}^{2} + 12 + y[/tex]

Step-by-step explanation:

[tex]Here,2x − 6y + 3x {}^{2} + 7y − 14x [/tex]

[tex] = 3x {}^{2} + 2x - 14x - 6y + 7y[/tex]

[tex] = 3x {}^{2} - 12x - 6y + 7y[/tex]

[tex] = 3x {}^{2} - 12x + y[/tex]

Hello there!

Combine Like Terms:

2x-6y+3x^2+7y-14x

-12x+y+3x^2

3x^2-12x+y

Hope this helps. you!

~Just a determined gal

#CarryOnLearning

Please mark brainliest; I would really appreciate that! :)

[tex]MysteriousNature :)[/tex]

Answer:

See Image below for answer:)

Step-by-step explanation:

3(a-4) + 1= 9 - a

3(a-4) = 8 - a

3a-12 = 8 - a

4a = 20

a=5

I hope this helps! :)

Answer:

a=5

Step-by-step explanation:

3(a-4)+1=9-a

3a-12+1=9-a

   3a-11=9-a

   3a+a=9+11

       4a=20

         a=20÷4

           =5

Answer:

4a plus or minus 1b

Step-by-step explanation:

Answer:

perpendicular

Step-by-step explanation:

Parallel lines have equal slopes

The product of the slopes of perpendicular lines = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4x + 3 ← is in slope- intercept form

with slope m = - 4

x - 4y =  8 ( subtract x from both sides )

- 4y = - x + 8 ( divide through by - 4 )

y = [tex]\frac{1}{4}[/tex] x + 2 ← in slope- intercept form

with slope m = [tex]\frac{1}{4}[/tex]

Since the slopes are not equal the lines are not parallel

- 4 × [tex]\frac{1}{4}[/tex] = - 1

Then the lines are perpendicular

The angle of depression is the angle formed with the horizontal, when an object is viewed below the horizontal level. Thus, the height of the cliff is approximately 123.86 m.

Let the height of the cliff be represented by h, so that:

From the triangle 1, we have:

tan [tex]32^{o}[/tex] = [tex]\frac{h}{x}[/tex]

⇒ h = tan [tex]32^{o}[/tex]*x

    h = x tan [tex]32^{o}[/tex] ............. 1

Also, from the bigger triangle, we have:

tan [tex]24^{o}[/tex] = [tex]\frac{h}{80 + x}[/tex]

⇒ h = tan [tex]24^{o}[/tex] (80 + x) .........  2

Now equating the expressions for h in equations 1 and 2, we have:

x tan [tex]32^{o}[/tex] = tan [tex]24^{o}[/tex] (80 + x)

0.6249x = 0.4452 (80 + x)

               = 35.616 + 0.4452x

0.6249x - 0.4452x = 35.616

0.1797 x = 35.616

x = [tex]\frac{35.616}{0.1797}[/tex]

x = 198.2 m

Substitute the value of x in equation 1;

h = x tan [tex]32^{o}[/tex]

  = 198.2 * 0.6249

 = 123.8552

h = 123.86 m

Therefore, the height of the cliff is approximately 123.86 m.

A sketch to this question is attached.

Visit: https://brainly.com/question/23497407

Answer: 3z+6

Step-by-step explanation:

(3) (z+2)

(3) (z)+(3) (2)

3z+6

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Solution ~

or it can also be expressed as ~

[tex]1 {0}^{8} \\ \\ hope \: \: it \: \: helps \\ \\ see \: \: the \: \: attachement[/tex]

Answer:

1) 8

2) 450 ft^2

Step-by-step explanation:

Each triangle takes half a square worth of space, so if you add up 2 triangles for 1 square that is 1/4 of the area, multiply that by 4 and you get 8 cameras.

The left over space in the store is the same amount of space as all the cameras space added together since each camera takes up half a square. That way 4 cameras(each 112.5 ft^2 each) equals 1/2 of the room which added together is 450 ft^2, the other half would be the left over space, 450 ft^2.

1) The cameras will be necessary to cover the entire store are 8

2) The area  left uncovered is 450 ft^2

Each triangle takes half a square worth of space, so if you add up 2 triangles for 1 square that is 1/4 of the area, multiply that by 4 and you get 8 cameras.

The area of the triangle is

[tex]=\frac{1}{2}\times height \times base[/tex]

The leftover space in the store is the same amount of space as all the camera's space added together since each camera takes up half a square.

That way 4 cameras(each 112.5 ft^2 each) equals 1/2 of the room which added together is 450 ft^2, the other half would be the leftover space, 450 ft^2.

1) The cameras will be necessary to cover the entire store are 8

2) The area  left uncovered is 450 ft^2

To learn more about the area of the triangle visit:

https://brainly.com/question/23945265

#SPJ5

Answer:

-25(5)

Step-by-step explanation:

-25 ×5 = -125

Answer:

6.5757459e+14

Step-by-step explanation:

is your answer

Answer:

6.5757459e+14

Step-by-step explanation:

6.5757459e+14

Answer:

0.4

Step-by-step explanation:

it's between 0.3 and 0.5 and the number in tenth is 4 so the answer is 0.4

Answer:

(4^3−13−35)

Step-by-step explanation:

this ans

Answer: $459 each month

Step-by-step explanation:

Paisley's mom is paying the loan of $22,032 in 48 equal monthly payments.

In order to find how much each month's payment would be you divide the loan by 48.

22,032 ÷ 48 = 459

Paisley's mom would need to pay $459 each month for 48 months to pay off her loan.

Answer:

Step-by-step explanation:

First, we know a 45-45-90 triangle has two legs that are the same because two angles are the same, so we can say that:

[tex]$a^2+b^2=c^2=a^2+a^2=c^2$[/tex]

Remember that [tex]a^2[/tex] and [tex]a^2[/tex] are the legs, which are the same length, so we can do this. Now, we solve the equation.

[tex]a^2+a^2=c^2\\2a^2=5\sqrt{7}\\2a=(5\sqrt{7})^2\\2a=5\\a=\frac{5}{2}[/tex]

HOPE THIS HELPS :D

The Pythagoras is the sum of the square of two sides equal to the square of the longest side. Then the exact measure of each leg is 9.4 ft.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

A right-angle 45-45-90 triangle with the hypotenuse measuring 5√7 feet.

We know that if two angles of any triangle are the same then their opposite sides are also the same.

Let each side length of x ft. Then by the Pythagoras theorem. we have

[tex]\begin{aligned} x^2 + x^2 &= (5\sqrt7)^2\\\\2x^2 &= 25 \times 7\\\\x^2 &= \dfrac{175}{2}\\\\x^2 &= 87.5\\\\x &= 9.354 \approx 9.4 \ \rm ft \end{aligned}[/tex]

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Answer:

0.5cups / [tex]\frac{1}{2}[/tex] a cup

Step-by-step explanation:

Answer:

180/7

Step-by-step explanation:

Answer:

10%

Step-by-step explanation:

1 out of 10 isles is the same as doing 1 divided by 10, which gets 0.1. To make this a percentage you would multiply it by 100 to get 10%

Answer:

120 feet

.................................

Step-by-step explanation:

1 yard = 3 feet

Answer:

Angle 5=60°

Step-by-step explanation:

Angle 4 = 180°-116° (adj angles on a str line)

= 64°

Angle 5 = 180°-64°-56° (angle sum of triangle)

= 60°

Answer:

<5 = 60 degrees

Step-by-step explanation:

<4 = 180-116 = 64 degrees

64 + 56 + <5 = 180 degrees

<5 = 180-56-64

Answer:

$3540

Step-by-step explanation:

See explanation

Step-by-step explanation:

The Simple Interest will be calculated as:

= P × R × T

= $3000 × 1.8% × 10.

= $3000 × 0.018 × 10

= $540

The interest that the customer earn in 10 years is $540.

Then, the account balance after 10 years will be:

= Principal + Interest

= $3000 + $540

= $3540

Therefore, the account balance will be $3540

Answer:

15 seconds

Step-by-step explanation:

Answer:

yes its B................