How do I do number 1

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The equations are x + y = 34 and 12x + 8y = 312. The number of adults and children will be 10 and 24, respectively.

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

Let 'x' and 'y' be the number of adults and children, respectively. Then the equation is given as,

x + y = 34               ...1

12x + 8y = 312        ...2

From equations 1 and 2, then we have

12x + 8(34 - x) = 312

12x + 272 - 8x = 312

4x = 40

x = 10

The value of 'y' is calculated as,

10 + y = 34

y = 24

More about the solution of the equation link is given below.

https://brainly.com/question/22613204

#SPJ2

Explanation:

If x > 2, then x-2 > 0 after subtracting 2 from both sides.

Since x-2 is always positive when x > 2, this means the absolute value bars around the x-2 aren't needed. The results of |x-2| and x-2 are perfectly identical.

For example, if we tried something like x = 5, then

Both outcomes are 3. I'll let you try other x inputs.

So because |x-2| and x-2 are identical, this means |x-2| = x-2 for all x > 2.

In short, we just erase the absolute value bars.

Answer:

Choose A I know this cause I'm smart

Angle of depression is the angle from horizontal line to the line of sight.  The distance from building of the sculpture is: Option d: 128. 67 feet.

You look straight parallel to ground. But when you have to watch something down, then you take your sight up by moving your head down. The angle from horizontal to the point where you stopped your head is called angle of depression.

For the given case, referring to the figure, we have:

Length of BC = |BC| = 60 ft.

Length of AB = |AB| = x ft (distance of sculpture from building horizontally).

∠CAB = 25°

Thus, using tangent ratio from point of view of ∠CAB, we get:

[tex]\tan(25^\circ) = \dfrac{|BC|}{|AB|} = \dfrac{60}{x}\\\\x = \dfrac{60}{tan(25^\circ)} \approx 128.67 \: \rm ft[/tex]

(value of tan25° was calculated from calculator available online)

Thus,

The distance from building of the sculpture is: Option d: 128. 67 feet.

Learn more about angle of depression here:

https://brainly.com/question/10564373

Answer: D:128.68

Step-by-step explanation:

i got it write on my test .

Answer:

C, D and E

Step-by-step explanation:

volume of prism = W x L x H

where W = width, L = length and H = height

Volumes

Prism A:  5 x 6 x 4 = 120 cm³

Prism B:  4 x 8 x 3 = 96 cm³

Prism C:  3 x 7 x 5 = 105 cm³

True statements

C. Prism B has the least volume

D. The volume of prism A is 120 cubic centimeters

E. The volume of prism C is less than the volume of prism A

[tex]\text{volume}=4\times5\times6=120cm^3[/tex]

[tex]\text{volume}=3\times8\times4=96cm^3[/tex]

[tex]\text{volume}=5\times7\times3=105cm^3[/tex]

A. - incorrect
B. - incorrect
C. - correct
D. - correct
E. - correct

Answer: CDE

The center of the circle is (5, -6). Option C shows the center of the circle.

A circle can be defined as the set of all points in the plane that are a fixed distance from a fixed point on the plane.

Given that the equation of the circle is,

[tex](x-5)^2+(y+6)^2=42[/tex]

We know that the general form of the equation of the circle is,

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

Where h, k is the center of the circle and r is the radius of the circle.

Compare the given equation with the general form of the equation, we get,

[tex](x-h) = (x-5)[/tex] and [tex](y-k) = (y+6)[/tex] and [tex]r^2 = 42[/tex]

For x-axis,

[tex](x-h) =(x-5)[/tex]

[tex]h = 5[/tex]

For y-axis,

[tex](y-k) = (y+6)[/tex]

[tex]k = -6[/tex]

Hence we can conclude that the center of the circle is (5, -6). Option C shows the center of the circle.

To know more about the equation of the circle, follow the link given below.

https://brainly.com/question/10165274.

Answer: C

Step-by-step explanation:

right on edge

[tex] \\ [/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

⇢ x + 70° = 110°

Reason {

VOC (Vertically opposite angles).

What is VOC?

Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines}

[tex] \\ [/tex]

⇢ x = 110° - 70°

[tex] \\ [/tex]

⇢ x = 40°

[tex] \\ [/tex]

[tex] \\ [/tex]

⇢ x + 70° = 110°

put value of x

[tex] \\ [/tex]

⇢ (40°) + 70° = 110°

[tex] \\ [/tex]

⇢ 110 ° = 110°

[tex] \\ [/tex]

hence it is verified that value of x is 40°

Answer:

Step-by-step explanation:

In the question we arw given with three angles that are z

( Angle 1 , Angle 2 or Angle 3 aren't given in Question , we are just giving names for given angle . So that there's ease on explanation )

And we have asked to find th value of angle 1 i.e. x .

Solution : -

As we can see in the question that ,

Vertically Opposite Angles : -

When two lines intersect each other then the two angles formed by them at a specific point are equal .

[tex] \longmapsto x° + 70° = 110°[/tex]

Subtracting 70 from both sides :

[tex]\longmapsto x° + \cancel{70° }- \cancel{70° }= 110° - 70°[/tex]

On further calculation :

[tex] \longmapsto \purple{ \boxed{ \mathfrak{ x° = 40 {°} }}}[/tex]

Verification : -

We are verifying our answer by substituting value of x . So ,

Therefore, our value for x is correct

Answer:

  B = 79°

Step-by-step explanation:

The sum of interior angles of a quadrilateral is 360°.

  (14x -11)° +(8x +7)° +(5x +18)° +(10x +13)° = 360°

  37x +27 = 360 . . . . . . divide by °, collect terms

  37x = 333 . . . . . . . . subtract 27

  x = 9 . . . . . . . . . . . divide by 37

The measure of angle B is ...

  B = (8x +7)° = ((8)(9) +7)°

  B = 79°

_____

Additional comment

The other angles are ...

  A = 115°, C = 63°, D = 103°

Answer 10

Step-by-step explanation:

Answer:

A. The slope between (4, 30) and (12, 90) is greater because the ordered pairs are farther apart on the x-axis.

Step-by-step explanation:

no explanation just right

Answer: -7 less than or equal to x less than or equal to 5

Step-by-step explanation:

It start at -7 and end at 5 which is the x axis

Answer:

y = 2x - 3

Step-by-step explanation:

use the graph to find another point, and then calculate the slope. you can also use the graph to find the y-intercept, and then use the slope you just found to put the equation in slope-intercept form.

hope this helps :)

Answer: y = 2x - 3

Step-by-step explanation:

Probabilities are used to determine the chances of events

The probability that an employee of the company is single or has a college degree is 0.733

The given parameters are:

n = 600 --- the number of employees

College graduate  = 400

Single graduate = 100

Single and college graduate = 60

The number of people that are college graduate or single are:

n(Single or college graduate) = 400 + 100 - 60

Evaluate

n(Single or college graduate) = 440

The probability is then calculated as:

p = 440/600

Evaluate the quotient

p = 0.733

Hence, the probability that an employee of the company is single or has a college degree is 0.733

Read more about probability at:

https://brainly.com/question/25870256

Answer:

1086

Step-by-step explanation:

let 4x=bigger number x=smaller number

4x+x=2715

5x=2715

5x/5=2715/5

x=543 (smaller number)

4x=4(543)=2172 (bigger number)

so

2172+543=2715

then

What is TWICE of the smaller number?

543*2=1086

Answer:

Sometimes, not always.

Step-by-step explanation:

The LCM is the lowest common number between 2 numbers, sometimes it can represent the product of the 2 numbers, but sometimes it doesn't.

2 Examples:

2: 2, 4, 6, 8, 10.

3: 3, 6, 9, 12, 15.

6 is the least common multiple of 2 and 3 and it does represent the product between both numbers.

17: 17, 34, 51, 68, 85.

34: 34, 68, 102, 136, 170.

34 is the least common multiple of 17 and 34 and it does not represent the product between both numbers, the product is represented as 578.

We can prove that sometimes the LCM is the product between 2 numbers, and sometimes not.

Answer:2,127.33

Step-by-step explanation:

Answer:

4 - [tex]\sqrt{6}[/tex]

Step-by-step explanation:

Rationalise the denominator by multiplying the numerator and denominator by the conjugate of the denominator.

the conjugate of 4 + [tex]\sqrt{6}[/tex] is 4 - [tex]\sqrt{6}[/tex] , then

= [tex]\frac{10(4-\sqrt{6}) }{(4+\sqrt{6})(4-\sqrt{6}) }[/tex] ← expand denominator using FOIL

= [tex]\frac{40-10\sqrt{6} }{16-6}[/tex]

= [tex]\frac{40-10\sqrt{6} }{10}[/tex] ( divide terms on numerator/ denominator by 10 )

= 4 - [tex]\sqrt{6}[/tex]

Answer:

  D.  g(x) = (3/2)(3^x)

Step-by-step explanation:

"Dilation" means the function is multiplied by some value. The y-intercept of f(x) is 3^0 = 1. We notice the y-intercept of g(x) is greater than 1, so the multiplier must be greater than 1.

The only such choice is ...

   g(x) = 3/2(3^x) . . . . . choice D

__

Additional comment

g(1) is not 4.5 for choices A and B, so those can be eliminated. g(0) is not 3/2 for choice C, so that can be eliminated.

Answer:

Yes it is correct

Step-by-step explanation:

Answer:

  (a)  1/2

Step-by-step explanation:

The coordinates of the point of intersection of the terminal side of angle α with the unit circle are ...

  (x, y) = (cos(α), sin(α))

When α = 60°, the x-coordinate of the terminal point is cos(60°) = 1/2.

Answer:

c÷8≥26

Step-by-step explanation:

Hope this helps.

Answer:

5x-y=9, y=5x+19 write both equations in same formy=5x-9 for the first and havey=5x+19 for the second. These are two parallel lines with different intercepts. They do not intersect or coincide. No solutions

and y=6x+14, 12x-2y=-28 write both equations in same formy=6x+142y=12x+28 or y=6x+14. They are the same line. The solution is all of the points on the line.

Step-by-step explanation:

I hope it will help you have a great day bye and Mark brainlist if the answer is correct I am sorry if the answer is worng

[tex]kai6417[/tex]

#carry on learning

Answer:

Step-by-step explanation:

Are these the two equations?

−5x+y=−1

−5x+y=10

=====

Put them into slope-intercept form of y = mx + b

−5x+y=−1

y = 5x - 1

−5x+y=10

y = 5x + 10

Both have a slope of 5, so they will not intersect.  This means there are no solutions.

See attached graph.

Answer:

x = 10

Step-by-step explanation:

∠ 5 and ∠ 3 are same- side interior angles and sum to 180° , that is

10x + 5 + 8x - 5 = 180 , so

18x = 180 ( divide both sides by 18 )

x = 10

Answer:

no solution

Step-by-step explanation:

absolute value cant be negative

Answer:

a) 80%

b) 20%

90 plus 70 divided by 200 x 100

Answer: height = 6, length = 12

Step-by-step explanation:

Let the length of the height = x.

Then, the length of the base = 2x

The formula for the area of a triangle is base*height/2, which equals 36 in this case.

Therefore, x*2x/2 = 36

x^2 = 36

x = 6, 2x = 12

Thus, the height = 6 and then length = 12

Step-by-step explanation:

this is the answer of your question..........

The distance between the bird and the brick is 7.5 feet. Hence the correct answer is B. It is to be noted that the question is an exercise relating to solving the sides of a right-angled triangle.

The formulas for finding the sides of a right-angled triangle are:

For Side A, a = [tex]\sqrt{ (c^{2} - b^{2} })[/tex]

For Side B, b = [tex]\sqrt{ (c^{2} - a^{2} })[/tex]

For Side C, c = [tex]\sqrt{ (a^{2} + b^{2} })[/tex]

In this case, base - b has been given as 4.5 feet;

the height - a of the pole has been given as 6 feet. Note that the portion due west is a trick addition that is irrelevant to the solution.

Hence, c is equaled: [tex]\sqrt{ (6^{2} + 4.5^{2} })[/tex]

= [tex]\sqrt{ ( 36+ 20.25 })[/tex]

= [tex]\sqrt{56.25}[/tex]

= 7.5 Feet.

See the link below for more about sides of a rectangle:

https://brainly.com/question/17005369