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2 years ago

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Megan has 30 brownies and 42 cupcakes to package. She wants to put the same numbers of brownies and cupcakes in each box. What i

s the greatest number of boxes she can make? How many cupcakes and how many brownies will each box contain?

1 answer:

valkas [14]2 years ago

7 0

The answer would be 6

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HELPPPPPPPP 7TH GRADE

egoroff_w [7]

Answer: 1 gallon

Step-by-step explanation:

Hi there!

Using the equation (12*18)-(7*3), where 12*18 is the area of the wall, 7*3 is the area of the door not being painted, you are left with 196 square ft. of wall. further dividing 196/200 is 0.98, meaning that Mr. Smith will only need one gallon of paint for his wall.

[(12*18)-(7*3)]/200

(215-21)/200

196/200

0.98

6 0

2 years ago

Read 2 more answers

A number x is more than -6 and at most 8

Nataly [62]

-6 < x (less than or equal to) 8

8 0

2 years ago

7 divided by 4 x + 3 Y + 4 divided / 4 x minus 3 Y is equal to 5 / 4

DerKrebs [107]

9514 1404 393

Answer:

(x, y) = (4, 4)

Step-by-step explanation:

If you attempt to solve this by clearing fractions, you end up with an extraneous solution. Here, we'll solve the linear equations ...

7a +4b = 5/4

8b -14a = 3/2

where a = 1/(4x+3y) and b = 1/(4x-3y)

Dividing the second equation by 2 and adding the first, we have ...

(7a +4b) +1/2(8b -14a) = (5/4) +1/2(3/2)

8b = 8/4

b = 1/4

Substituting into the first equation gives ...

7a +4/4 = 5/4

a = 1/28

__

Now, we can get back to solving for x and y.

4x +3y = 1/a = 28

4x -3y = 1/b = 4

8x = 32 . . . . . . . . . add the two equations

x = 4

3y = 28 -4x = 28 -4(4) = 12 . . . . . use x in the equation for 'a'; rearrange

y = 4 . . . . divide by 3

The solution to the system of equations is (x, y) = (4, 4).

_____

<em>Additional comment</em>

If you graph these equations, you find they describe hyperbolas that intersect at (0, 0) and (4, 4). The "solution" (0, 0) is extraneous, as both equations are undefined there.

7 0

2 years ago

An object in the shape of a rectangular prism has a length of 5 inches, a width of 3 inches, and a height of 2 inches. The objec

belka [17]

Answer:

$4,080grams$

Step-by-step explanation:

the formula for density is:

$d=\frac{m}{V}$

where d is density, m is mass, and V is volume.

solving for m in the last equation:

$m=d*V$

so if we find the volume and multiply it by the density $d=8.3gr/cm^3$ we will get the mass of the object.

The volume of a rectangular prism is given by:

$V=l*w*h$

where $l$ is length, $w$ is width and $h$ is height:

$l=5in\\w=3in\\h=2in$

we substitute to find the volume:

$V=5in*3in*2in\\V=30in^3$

since the density has units of $cm^3$ we need the volume also in units of $cm^3$ , so we make the conversion using:

$1in^3=16.3871cm^3$

multiplying by 30:

$30in^3=491.612cm^3$

and now we find the mass with the equation:

$m=d*V$

substituting d and V:

$m=(8.3gr/cm^3)(491.612cm^2)\\m=4,080.36gr$

the nearest gram is: $4,080grams$

8 0

3 years ago

Avery bought a flute that cost $430. She paid a 6 1/2% sales tax rate. What was the total cost of the flute?

Georgia [21]

Answer:

457.95

Step-by-step explanation:

430 + 6.5% (27.95) = 457.95

3 0

2 years ago