A cereal box manufacturer changes the size of the box to increase the amount of cereal it contains. The expressions 13 + 7.4n and 11 + 7.8n, where n is the number of smaller boxes, are both representative of the amount of cereal that the new larger box contains. How many smaller boxes are equal to the same amount of cereal in the larger box?

Answer:

271

Step-by-step explanation:

The count of even numbers between 0 and n is [n/2] + 1. 

540/2=270

270+1=

271

Answer:

C. $29.24

Step-by-step explanation:

just took the Quiz

Answer:

(3,2)

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)

Answer:

(3,2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

the letter y is the number 2

Answer:

y = -11

Step-by-step explanation:

Answer:

[tex]2\frac{5}{8}[/tex] cups

Step-by-step explanation:

I hope this helps!

Answer:

x = 30

Step-by-step explanation:

30 + 2x = 90

Subtract 30 from both sides;

2x = 60

Divide both sides by 2;

x = 30

Answer:

true

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

The answer is false beacause the statement would only be true is abc=def and def=mno. Then abc=mno. This way the statement would be true. The current statement is false because it does not connect abc congruent to pqr in any way.

Answer and work down below. Let me know if you have any questions

Answer:

Yes, she would reach her goal of 10 miles. She would have ran 10.5 (or 10 1/2) miles.

Step-by-step explanation:

If you multiply 1 3/4 (7/4) times 6 (6/1) you would get 10 1/2, which in decimal form is 10.5.

Hope this helps!

~

The net force acting on the automobile is 3600N

The acceleration of an object is directly proportional to the net force acting on it.  

The acceleration of an object also depends upon its mass.  

Acceleration (a) = net force (F) / mass (m)

a = F / m

Given that; a = 3 m/s², m = 1200 kg, hence:

3 = F / 1200

F = 3600N

The net force acting on the automobile is 3600N

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Answer: D = 68

Step-by-step explanation:

set VW and WX equal to each other

3x + 7 = x + 25

subtract x from both sides

2x + 7 = 25

subtract 7 from both sides

2x = 18

divide 18 by 2x to find x

x = 9

plug x in to get the full answer

3(9) + 7 + (9) + 25

Answer:

t=$20 for each two adults

Step-by-step explanation:

$48-8=$40

$40×2=$20

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the equation of the lines 3x + y - 4 = 0, 4x - 5y + 30 = 0,  y = – 3x – 1, and - 4x + 5y + 10 = 0. For us to be able to predict the type of quadrilateral formed by this lines, we need to find the slope of each of the lines. Any two lines with the same slope will be parallel lines.

The standard form of equation of a line is expressed as y = mx+c where m is the slope of the line.

Re-writing each equation in standard format:

For the line 3x + y - 4 = 0;

3x+y = 4

y = 4-3x

y = -3x + 4

Hence the slope of the line is -3

For the line 4x - 5y + 30 = 0:

4x-5y = -30

-5y = -30-4x

-5y = -4x-30

divide through by -5

y = 4/5 x + 6

Hence the slope of this line is 4/5

For the line y = – 3x – 1:

The line is already in its standard format, hence the slope of the line is -3

For the line - 4x + 5y + 10 = 0:

-4x+5y = -10

5y = -10+4x

5y = 4x-10

divide through by 5

y = 4/5 x - 10/5

y = 4/5 x - 2

Hence the slope of this line is 4/5

From the slopes above, it can be seen that the line 4x - 5y + 30 = 0 is parallel to  - 4x + 5y + 10 = 0 and that of the line 3x + y - 4 = 0 is parallel to y = – 3x – 1 due to their similar slope.

To know the the type of quadrilateral formed by this lines, first we need to check whether two dissimilar lines are perpendicular to each other. If they are perpendicular to each other, it means the quadrilateral could be a square or a rectangle but if otherwise, it will either be a parallelogram or a rhombus.

For two lines to be perpendicular, the product of their slope must be -1 i.e m1m2 = -1

For the first two lines:

m1 = -3 and m2 = 4/5

Taking their product:

-3*4/5 = -12/5

Since the product did not give use -1, hence the quadrilateral is neither a square nor a rectangle. The quadrilateral can therefore either be a parallelogram or a rhombus since the intersecting lines of either shapes are not perpendicular to each other.

Answer:

x = ± [tex]\frac{2}{9}[/tex]

Step-by-step explanation:

Given

81x² = 4 ( divide both sides by 81 )

x² = [tex]\frac{4}{81}[/tex] ( take the square root of both sides )

x = ± [tex]\sqrt{\frac{4}{81} }[/tex] = ± [tex]\frac{\sqrt{4} }{\sqrt{81} }[/tex] = ± [tex]\frac{2}{9}[/tex]

Answer:

Number of Rides:     [tex]5.5R = 16.5[/tex]  

Number of Games:    [tex]1.5G = 9[/tex]

Step-by-step explanation:

Given

Represent the games with G and the Rides with R

[tex]G = 1.50[/tex] -- cost

[tex]R = 2.50[/tex] --- cost

[tex]Total = 16.50[/tex] -- cost

Required

Represent the system using an equation

The equation can be represented as follows;

[tex]G + R = Total[/tex]

Assume She plays G games and had R rides, we have

[tex]1.5G + 2.5R = 16.5[/tex]

Since she plays twice as much games as rides,

This implies;

[tex]G = 2R[/tex]

So, we have

[tex]1.5 * 2R + 2.5R = 16.5[/tex]

[tex]3R + 2.5R = 16.5[/tex]

[tex]5.5R = 16.5[/tex] --- This equation can be used to solve for Number of Rides

Solving further

[tex]R =16.5/5.5[/tex]

[tex]R =3[/tex]

Substitute 3 for R in [tex]1.5G + 2.5R = 16.5[/tex]

[tex]1.5G + 2.5 * 3 = 16.5[/tex]

[tex]1.5G + 7.5 = 16.5[/tex]

Solve for 1.5G

[tex]1.5G = 16.5 - 7.5[/tex]

[tex]1.5G = 9[/tex] --- This equation can be used to solve for Number of Games

Solving further

[tex]G = 9/1.5[/tex]

[tex]G = 6[/tex]

Answer:

the answer is 50 degrees

Step-by-step explanation:

the sum of all three angles of a triangle is always 180 degrees.

first you have to combine all terms, equal it to 180, and then solve for x.

4x-20+2x+2x=180

8x-20=180

8x=200

x=25

then to find angle G you multiple x times 2 (2x)

2 × 25 = 50

Question

Cable company A charges $45 a month for cable plus a $18 installation fee. Cable B charges $39 a month for cable plus a $30 fee for installation. Which inequality can be used to find out when the monthly cost for Cable company A is less than Cable company B?

a)39x+30<45x+18

b) 45x+18>39x+30

c) 45x+18<39x+30

d)39x+18<45x+30

Answer:

c) 45x+18<39x+30

Step-by-step explanation:

Step 1

We have to find the Algebraic expressions for the cable companies

Cable company A charges $45 a month for cable plus a $18 installation fee.

Let the number of months be represented as x

Hence, this is represented as:

$45 × x + $18

= 45x + 18

Cable B charges $39 a month for cable plus a $30 fee for installation.

Let the number of months be represented as x

Hence, this is represented as:

$39 × x + $30

= 39x + 30

The inequality that can be used to find out when the monthly cost for Cable company A is less than Cable company B?

= Cable company A < Cable company B

= 45x + 18 < 39x + 30

Therefore option c is correct

Answer:

2= d

Step-by-step explanation:

Answer:

Step-by-step explanation:

d(3)=1.5x3+25=29.5

Answer:

[tex]y=-9[/tex]

Step-by-step explanation:

We want to find an equation of a line that's perpendicular to x=1 that also passes through the point (8,-9).

Note that x=1 is a vertical line since x is 1 no matter what y is.

This means that if our new line is perpendicular to the old, then it must be a horizontal line.

So, since we have a horizontal line, then our equation must be our y-value of our point.

Our y-coordinate of our point (8,-9) is -9.

Therefore, our equation is:

[tex]y=-9[/tex]

And this is in standard form.

And we're done!

Answer:

The factors of 24 are 24, 12, 8, 6, 4, 3, 2, 1

The factors of 32 are 32, 16, 8, 4, 2, 1.

Step-by-step explanation:

Answer:

24: 1, 2,3,4,6,8,12,24

32: 1, 2 ,4, 8, 16,32

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Answer:19487171x161051

=19487171x161051

Step-by-step explanation:

Answer:

  11^12 = 3,138,428,376,721

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

__

  [tex]\dfrac{11^{10}}{11^3}\cdot 11^5=11^{10-3+5}=\boxed{11^{12}=3\,138\,428\,376\,721}[/tex]

Answer:

28

Step-by-step explanation:

Answer: 36

Step-by-step explanation: 56 is the width 2/3 of 56 is 36

Answer:

36

Step-by-step explanation:

Answer:

Step-by-step explanation:

145 - 72 = 73

73 - 63 = 10

Answer:

3 times

Step-by-step explanation:

Take out a ruler and draw a horizontal line through y = 1.  It should become obvious immediately that this horizontal line intersects the graph 3 times.

The line [tex]\boldsymbol{y=1}[/tex] intersect the graph three times.

A graph is a mathematical depiction of a network that describes the connection between lines and points.

A graph is made up of points with lines connecting them. The length of the lines and the position of the points are irrelevant. Each object in a graph is referred to as a node.

Line [tex]\boldsymbol{y=1}[/tex] intersects the graph at three points.

So, the line [tex]y=1[/tex] intersect the graph three times.

Find out more information about graph here:

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Answer:

-3, 7, -5

Step-by-step explanation:

The x intercept is when y equals zero, so plug in numbers that would make y equal 0.

In this case, if anything inside the brackets is 0 then the whole think would be 0.

any number times 0 is 0.

Hope this helps!