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3 years ago

A carton can hold 1000 unit cubes that measure 1" x 1" x 1". Describe the dimensions of the carton using unit cubes

Mathematics

1 answer:

Flura [38]3 years ago

3 0

Long answer: l(w)(h) let l = 10 w = 10 and h = 10 so it's 10 times 10 times 10 Short answer: 10(10)(10) = 1000

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How to solve this equation?

Novay_Z [31]

Answer:

x = √(28), or x = 5.292

Step-by-step explanation:

First you distribute the square to the values inside of the parentheses. so it ends up looking like this

5(x^2 - 25) - 9 = 6

add 9 to both sides

so its 5(x^2 - 25) = 15

Then distribute the multiplication of 5 to the contents within the parentheses

so it would be 5x^2 - 125 = 15

add 125 to both sides

you get 5x^2 = 140

divide by 5 on both sides

you get x^2=28

then, take the square root of both sides to reverse the square

√(x^2)=√(28)

and in the end you get x=5.292

but √(28) will probably be fine if your teacher doesn't want u to solve for that kind of stuff.

6 0

3 years ago

St. Mary's Church is holding a raffle in which 1172 tickets have been sold at a cost of $2.00 each. Three prizes will be awarded

aleksandrvk [35]

Answer:

Step-by-step explanation:

Given that St. Mary's Church is holding a raffle in which 1172 tickets have been sold at a cost of $2.00 each.

Three prizes will be awarded: 1 for S500;1 for $250; 1 for $125.

Thus total number of tickets = 1172

Of these prize winning are 3

i.e. Tickets Prize $ Net win amount Prob Net win amt*prob

1 500 (500-2) =448 1/1172 448/1172

1 250 (250-2) =248 1/1172 248/1172

1 125 (125-2) =123 1/1172 123/1172

1169 0 (0-2) = -2 1169/1172 -2338/1172

Expected value = Total -1519/1172

=-1.296

4 0

3 years ago

Paolo is using his grandmother's breakfast bar recipe. He always doubles

Papessa [141]

Answer:

$6\frac{1}{3}$ = $2\frac{1}{2}$ * 2 + $\frac{x}{2}$

Step-by-step explanation:

lets start with what we know.

the recipe calls for 2 $\frac{1}{2}$ cups of yogurt. and Paolo doubles the recipe. so multiply the recipe for yogurt by 2

2 $\frac{1}{2}$ * 2 = 5 cups of yogurt.

the total of yogurt and oats is $6\frac{1}{3}$ and we know how much yogurt we have so we subtract that from the total of both.

$6\frac{1}{3}$ - 5 = $1\frac{1}{3}$

the oats after doubling were $1\frac{1}{3}$ cups so u divide it by 2

$1\frac{1}{3}$ / 2 = $\frac{2}{3}$ before doubling

7 0

3 years ago

Which of the following appear in the diagram below?

vladimir1956 [14]

Answer:

A , B, D

Step-by-step explanation:

YX is the segment joining points Y and X and is defined (A)

∠ XYZ is the angle between XY and YZ and is defined (B)

∠ YXZ is the angle between YX and XZ

However there is no segment joining XZ ← not defined

YW is the segment joining points Y and W and is defined (D)

7 0

2 years ago

A new library, L, is to be built at some point along a straight road, R, such that its distance from train station, T, is the sh

andreyandreev [35.5K]

Answer:

Coordinates of the new library is (150, 70)

Step-by-step explanation:

To get the shortest possible distance means that line from point T to point R has to be perpendicular.

Now, the equation of R is given as;

y = x - 80 - - - (1)

For T to be perpendicular, it means it will have a slope equal to the negative reciprocal of line R.

Thus, slope of T is -1/1 = - 1

Thus, using line - slope intercept of y = mx + c, we can find equation of T as;

140 = -1(80) + c

140 = -80 + c

c = 140 + 80

c = 220

Thus, equation is;

y = -x + 220 - - - (eq 2)

Adding equation 1 to equation 2,we have;

y + y = 220 - 80

2y = 140

y = 140/2

y = 70

Putting 70 for y in eq 1 gives;

70 = x - 80

x = 70 + 80

x = 150

Thus;

Coordinate of the new library is (150, 70)

8 0

3 years ago