Tickets to the zoo cost $12 for adults and $8 for children. The school has a budget of $240 for the field trip. An equation representing the budget for the trip is: `240\ =\ 12x+8y`
Select all the true
If no adult chaperones were needed, 30 students could go to the zoo.
If ten students go to the zoo, then 15 adults can go.
If four more adults go to the zoo, that means there will be room for six fewer students.
If two more students go to the zoo, that means there will be room for three fewer adults.
If 16 adults go to the zoo, then 6 students can go.

Step-by-step explanation:

The constant of proportionality is y / x = 4 / 2 = 8 / 4 = 2.

Answer:

The constant of proportionality is y / x = 4 / 2 = 8 / 4 = 2.

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

Step-by-step explanation:

sinA = sinB

  a         b

sin(117) = sin(12)

   a             12

a * sin(12) = 12 * sin(117)

a = 12 * sin(117)

         sin(12)

a = 51.4

Answer:

6

Step-by-step explanation:

What you need to do is 38 ÷ 8. The answer would be 4 with a remainder of 6, so there are six apples left

Answer:

(-f+v) = -13i-15j

Step-by-step explanation:

Given that,

Vector f = (10,5) = 10i+5j

Vector v = (-3,-10) = -3i-10j

We need to find (-f+v).

Let x = (-f+v)

Plug all the values,

x = [-(10i+5j) + -3i-10j]

= (-10i-3i)+(-5j-10j)

= -13i-15j

Hence, (-f+v) = -13i-15j

Answer:

-31

Step-by-step explanation:

hope this helped! <3

Answer:

its B. 0.0563 and 0.0564

Answer:

I'm so sorry about your situation! The answer would be D

Step-by-step explanation:

5.634 times 10^(2)= 563.4

Answer: 48 litros.

Step-by-step explanation:

El recipiente está inicialmente lleno, definamos esta cantidad como X.

Se extrae un tercio, entonces lo que queda en el recipiente son dos tercios de la cantidad inicial, esto es:

(2/3)*X

Luego se extrae (1/4) de esta cantidad, eso quiere decir que queda (3/4) de esta cantidad, entonces lo que queda es:

(3/4)*(2/3)*X = (2/4)*X = (1/2)*X

Luego se agrega un litro, entonces tenemos:

(1/2)*X + 1 L

Sabemos que esta cantidad es igual a 25 L, entonces:

(1/2)*X + 1 L = 25 L

Resolvamos esto para X

(1/2)*X = 25 L - 1 L = 24 L

X = 2*24 L = 48 L

La cantidad que puede contener el contenedor son 48 litros.

Yes, The preimage and the image have the same shape and size.

The reflection of an object across an axis is creating an image that has the same shape and size.

A triangle ABC is reflected over the x-axis to form A'B'C'

When reflected over an axis, the coordinate of the other axis is changed to its additive inverse.

(x,y)-------> (x,-y)

Let the coordinate of the triangle is  (1,1),(3,5),(3,1)

The image of the triangle when reflected over x-axis is

(1,1),(3,5),(3,1)       ------------->    (1,-1),(3,-5),(3,-1)

The shape of a right-angled triangle is the same in the image, the length of the side is same, it is just an image of the same shape and size.

The figure is attached with the answer.

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Answer:

.    。    •  　ﾟ  。  　.

 　.      .    　。   。  

.   。      ඞ 。 .    •      

　ﾟ   -3.5 was the answer.  。　.

 '    1 Impostor remains    　。

 ﾟ  　.  　. ,    .  .

Step-by-step explanation:

6x + 9 = -12

      -9    -9

6x = -21

Divide -21 by 6

x = -3.5

Answer:

Symmetric Property of Congruence

Step-by-step explanation:

Reflexive:

A ~= A

B ~= B

Symmetric:

A ~= B then B ~= A

Transitive:

If A ~= B and B ~= C, then A ~= C

Answer:

XZ = 14

Step-by-step explanation:

x+2 = 2x-3

-1x from both sides

2 = x - 3

+3 to both sides

5 = x

(plug in x for XM and MZ equations)

(5 + 2) + ((2×5) - 3)

7 + 7 = 14

The numerical length of XZ = 14

We have a Line Segment XZ such that M is mid - point of XZ.

We have to determine the length of XZ.

The mid - point of a line segment is a point on a line that divides it into two equal parts.

According to question, we have -

XM = x + 2

MZ = 2x - 3

Since, M is the mid - point of XZ, therefore -

XM = MZ

x + 2 = 2x - 3

2 + 3 = 2x - x

x = 5

Now -

XZ = XM + MZ

XZ = x + 2 + 2x - 3

XZ = 5 + 2 + 10 - 3

XZ = 14

Hence, the numerical length of XZ = 14.

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Answer:

Length = 178 yards and Breadth = 46 yards

Step-by-step explanation:

The perimeter of the rectangular field is 448 yards

Let the width is b and the length of the field is (4b-6) yards

We need to find the dimensions of the playing field. We know that the perimeter of a rectangle is given by :

P = 2(l+b)

ATQ,

[2((4b-6)+b)] = 448

2(5b-6) = 448

5b-6 = 224

5b = 230

b = 46 yards

Length = (4b-6)

= 4(46) - 6

= 178 yards

Hence, the length and breadth of the field is 178 yards and 46 yards respectively.

Answer:

1

Step-by-step explanation:

Answer:

it is x

Step-by-step explanation:

Answer:

28 / 7 /4 = 1

Step-by-step explanation:

Division Signs to make the correct equality are 2 8/ 7 / 4 = 1

In mathematics, the equal sign denotes parity between quantities, equations, or expressions written on either side. Equal to is represented by two thin, parallel horizontal lines. The "equal to" sign is used to indicate that two items are the same or equal. For instance, 1 + 1 = 2.

A division sign exists the symbol ÷ used between two numerals to demonstrate that the first number maintains to be divided by the second.

Given,

a = 28/7 = 4

b = 4/4 = 1

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Answer:

The right answer is Option 2:

[tex]y+6 = -\frac{3}{4}(x-2)[/tex]

Step-by-step explanation:

Point-slope form of equation of a line is given by:

[tex]y-y_1 = m(x-x_1)[/tex]

Here m is slope of the line and (x1,y1) is the point from which the line passes.

Given

Slope = m = -3/4

Point = (x1,y1) = (2,-6)

We simply have to put these value into the general form of equation of line in point-slope form

[tex]y-(-6) = -\frac{3}{4}(x-2)\\y+6 = -\frac{3}{4}(x-2)[/tex]

Hence,

The right answer is Option 2:

[tex]y+6 = -\frac{3}{4}(x-2)[/tex]

Answer:

Step-by-step explanation:

1 foot = 12 inches

12 inches/ 48 inches = 1/4 foot

or  1 foot/4 feet = 1/4 foot

Answer:

1 1/6 liters of water

Answer:

y = 3x - 8

Step-by-step explanation:

Line is passing through the points (2, - 2) & (0, - 8)

Slope of line

[tex] \: m = \frac{ - 8 - ( - 2)}{0 - 2} \\ \\ = \frac{ - 8 + 2}{ - 2} \\ \\ = \frac{ - 6}{ - 2} \\ \\ = 3 \\ \\y-intercept = b = - 8\\ \\equation \: of \: line \: in \:slope \:\\ intrecept \: form \: is \: given \: as \\ \\ y = mx + b \\ \\ y = 3x + ( - 8) \\ \\ \huge \red {y = 3x - 8}[/tex]

Answer:

-4/6, -8/12, -16/24, etc. look at the picture.

Step-by-step explanation:

Brainliest Please!!! Also, Tip: show the multiple choice options.

Answer:

4/6

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

-1,3

4,-7

-7-3=-10

4--1=5

-10/5=-2

Answer: I need to find the additive inverse of the number being su tracked. That number is -9.6. The additive inverse of -9.6 is 9.6.

Step-by-step explanation:

Answer:

Additive inverse can be defined as adding a number with the opposite or the negative of that number to equal zero. The additive inverse of 1 is (-1), the additive inverse of 2 is (-2) and so on.

Example: 5 + (-5) = 0

In this example, (-5) is the additive inverse.

You can then take additive inverse one step when finding the additive inverse when subtracting rational numbers.

Example: 7 - 4 = 7 + (-4)

3 = 3

When finding the inverse, it is important to keep in mind that what you do to one side, you must do the opposite to another. In the example above, because you subtracted a positive four on one side, you are going to add a negative four to the other. This will make the equation equal on both sides.

Step-by-step explanation:

Answer:

-x -y = 5

Step-by-step explanation:

the Answer will be 5

Answer:

[tex]Diameter = 11.28[/tex]cm  --- (a)

[tex]Diameter =22.58[/tex] cm  --- (c)

Step-by-step explanation:

Only (a) & (c) are clear enough to be solved. Others are not properly presented.

Use the following explanations of (a) & (c) to answer others.

[tex]a.\ Area = 100cm^2[/tex]

Area is calculated as:

[tex]Area = \pi r^2[/tex]

Substitute 100 for Area

[tex]100 = \pi r^2[/tex]

Take π as 3.14. So, the expression become

[tex]100 = 3.14 r^2[/tex]

Divide both sides by 3.14

[tex]\frac{100}{3.14} = \frac{3.14 r^2}{3.14}[/tex]

[tex]\frac{100}{3.14} = r^2[/tex]

[tex]r^2 = \frac{100}{3.14}[/tex]

[tex]r^2 = 31.847133758[/tex]

Solve for r

[tex]r = \sqrt{31.847133758[/tex]

[tex]r = 5.64[/tex]

But diameter = 2 * radius

So:

[tex]Diameter = 2 * 5.64[/tex]

[tex]Diameter = 11.28[/tex]

[tex]a.\ Area = 400cm^2[/tex]

Area is calculated as:

[tex]Area = \pi r^2[/tex]

Substitute 400 for Area

[tex]400 = \pi r^2[/tex]

[tex]400 = 3.14 r^2[/tex]

Divide both sides by 3.14

[tex]\frac{400}{3.14} = \frac{3.14 r^2}{3.14}[/tex]

[tex]\frac{400}{3.14} = r^2[/tex]

[tex]r^2 = \frac{100}{3.14}[/tex]

[tex]r^2 = 127.388535032[/tex]

Solve for r

[tex]r = \sqrt{127.388535032[/tex]

[tex]r = 11.29[/tex]

But diameter = 2 * radius

So:

[tex]Diameter = 2 * 11.29[/tex]

[tex]Diameter =22,58[/tex]

Answer:

Same side interior angles theorem

Step-by-step explanation:

 Same-Side Interior Angles Theorem: Sum of the same side of interior angles of parallel lines are supplementary

Answer:

I think it is A

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

.00009494949

Step-by-step explanation:

this may be wrong