A store sells bottles of juice in boxes. Garth bought 18 bottles, Rico bought 36 bottles, and Mai bought 45 bottles. What is the maximum number of bottles in each box?

9514 1404 393

Answer:

  9, the sum of the numbers given in the ratio

Step-by-step explanation:

The reduced ratio 2 : 7 means that two parts correspond to one length and 7 parts correspond to the other length. That is, there are a total of 2+7 = 9 parts in the full length of the segment.

It is convenient to think of the line segment as being divided into 9 equal parts.

_____

Additional comments

It is often helpful to consider the total number of "ratio units" in a given ratio. For example, in this problem, the shorter segment is 2/9 of the whole, and the longer one is 7/9 of the whole.

It can also be useful to consider what a "ratio unit" represents. If the whole segment is 27 inches long, then each of the 9 ratio units will represent 3 inches, for example. This means the division 2:7 is 2(3 in):7(3 in) = 6 in : 21 in.

Answer:

p(e)=e-3

Step-by-step explanation:

De acuerdo a la información proporcionada, sabes que Paul tenía una determinada cantidad e y al comprar el libro recibió 3 de vuelto, lo que significa que el precio del libro sería igual a restar 3 de la cantidad que tenía al inicio, lo cual se puede expresar de la siguiente forma:

p(e)=e-3, donde

p es el precio del libro

e es la cantidad que Paul tenía al inicio

Answer:

High top pairs- 45

Low top pairs- 15

Step-by-step explanation:

Answer:

Step-by-step explanation:

-x-3=y, therefore x = -y-3

-3x - 8y = 4

Find the value of y

Substitute the x in -3x - 8y = 4 with -y-3

We get

-3·(-y-3) - 8y = 4

3y + 9 - 8y = 4

-5y = 4-9

-5y = -5

_______________

Find the value of x

x = -y-3

x = -1-3

_______________

Answer (x, y) =

_____________________

#IndonesianPride - kexcvi

Answer:

Ok Here:

Step-by-step explanation:

STEP BY STEP

Substitution:

-x-3=y

-3x-8y=4

Solve for X                Substitute for Y

-3x-8(-x-3)=4                     -(-4)-3=y

-3x+8x+24=4                        4-3=y

5x+24=4                                y=1

    -24

5x=-20

5/5 = -20/5

x=-4

Solution: (-4,1)

Answer:

i can see can we talk

Step-by-step explanation:

Answer:

The surface area is 900cm^2

Step-by-step explanation:

Multiply 3 and 10 to get 30

Then square 30 by multiplying 30 x 30, to get 900.

Answer:

The Surface of the area is 30.

Step-by-step explanation:

Multiply 3 and 10. And you get 30. Hoped this helped : )

Answer: -21x + 32z + 15

Step-by-step explanation:

Answer:

x = 42

Step-by-step explanation:

[tex]\frac{x}{6} = 7[/tex]

Multiply both side of the equation by 6.

[tex]6(\frac{x}{6} ) = 7 * 6[/tex]

∴ x = 42

So, the answer is D.

Hope this helps

Answer:

$195

Step-by-step explanation:

102/7 = $15/hour

15 x 13 = $195

Answer:

570 of 2% 4years

570×2÷100 4years

11.5 × 4÷12

3.8..

Answer:

ok

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The y-intercept is 3 and the parabola is facing down which means the x^2 has to be negative.

Answer:

(5,6)

Step-by-step explanation:

Generally, is the coordinate (x,y) is translated right by a units and up by b units, the resulting coordinate wil be;

g(X, Y)  = (x+a, y+b)

To the right is along the positive x axis while up is along the positive y axis

Given a = 3 and b = 4

g(X,Y) = (2 + 3, 2 + 4)

g(X, Y) = (5, 6)

Hence the resulting coordinate of g is (5,6)

Answer:

45.6

Step-by-step explanation:

IF x is theta

arccos(7/10)

*make sure your calculator is in degree mode

x= 45.57

Answer:

a) 20ft

Step-by-step explanation:

just multiply the model length and the scale factor

Answer:

A

Step-by-step explanation:

The equivalent expression of the complex fraction is [tex]\frac {2y - 4x}{5x + 3y}[/tex]

Equivalent expressions are expressions that have equal values, when compared

The expression is given as:

[tex](\frac 2x -\frac 4y) \div (\frac 5y + \frac 3x)[/tex]

Take LCM

[tex](\frac {2y - 4x}{xy}) \div (\frac {5x + 3y}{xy})[/tex]

Express the quotient as products

[tex](\frac {2y - 4x}{xy}) * (\frac {xy}{5x + 3y})[/tex]

Evaluate the product

[tex]\frac {2y - 4x}{5x + 3y}[/tex]

Hence, the equivalent expression of the complex fraction is [tex]\frac {2y - 4x}{5x + 3y}[/tex]

Read more about equivalent expressions at:

https://brainly.com/question/2972832

Answer:

$26.94

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

Answer:

-3 < x < 3

Step-by-step explanation:

Answer:

So the length will be the same as the length of the torso

Answer:

14.3 yd

Step-by-step explanation:

apply the pythagorean Theorem formula:

= sqrt(14^2 +3^2)

= sqrt(205)

roughly 14.3 yd

Answer: Approximately 20 miles per gallon

Step-by-step explanation:

The line of best fit is an approximate average. In order to predict the fuel efficiency you just estimate the place where x = 4800 and see what the y value of the line is for that point. In this case it's around 20 miles per gallon.

Answer: 20.8

Step-by-step explanation:

Since it is an equilateral triangle, we know the bottom is also 24. We also know that line E is bisecting the base. So using the smaller right triangle we know that the hypotenuse is 24 and one leg is 12. So use the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2} \\12^{2} +b^{2} =24^{2} \\144+b^{2} =576\\b^{2} = 432\\b= 20.8[/tex]

Answer:

30

Step-by-step explanation:

the street and the diameter of the bike are not measured in the same units. We have to convert them to the same units

1 feet = 12 inches

157 x 12 = 1884

circumference of a circle = 2nr

2 x 3.14 x 10 = 62.8 in

Number of revolutions = 1884/62.8 = 30

Answer:

[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]

Step-by-step explanation:

From Newton's law of universal gravitation, the force of attraction between two objects of masses [tex]M_{1}[/tex] and [tex]M_{2}[/tex] is given as:

[tex]F_{g}[/tex] = [tex]\frac{GM_{1} M_{2} }{r^{2} }[/tex]

Thus, cross multiply to have;

[tex]F_{g}[/tex][tex]r^{2}[/tex] = G[tex]M_{1}[/tex][tex]M_{2}[/tex]

then divide through by G[tex]M_{2}[/tex] to have,

[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]

Therefore, [tex]M_{1}[/tex] can be expressed in terms of [tex]F_{g}[/tex], [tex]r^{2}[/tex], G, [tex]M_{2}[/tex] as [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]

Answer:

X = 78, Z = 29, and Y = 102

Step-by-step explanation:

X = 78. 43 + 59 = 102. There has to be 180 degrees in a triangle. So subtract 180 by 102.

Z = 29. Think of the whole triangle for this one. 43 + 49 + 59 = 151. 180 - 151 = 29.

Y = 102. Plug in the value of Z. 49 + 29 = 78. 180 - 78 = 102.

Hope that helps!

Answer:

hey there, the answer is 8.9429 × 10^8

Answer:

8.9429 × 10^8

Step-by-step explanation:

ya the answer is 8.9429 × 10^8

Answer:

The first answer is b then the second is c

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation: