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Mandarinka [93]
3 years ago
13

Jorge bought a crate of floor tiles for $95.94.The Crate had six boxes of floor tiles.Each Box contained 20 floor tiles.Write an

d solve an equation to determine the cost per box(b).Then write and solve a second equation to determine the cost per tile(t) to the nearest cent.
Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
6 0

Answer:Cost per box: $95.94 ÷ (b)

            Cost per tile: [$95.94 ÷ (b)]÷ (t)

First, we are trying to find the cost of each crate. Since the whole order was $95.94, we have to divide. The answer to the cost per box is $15.99.

Second, we are trying to find the cost of each of the tiles in the crates. Since they are in each crate, we divide the crate price from the tiles. The answer of the cost per tile is $.80.

Hope this helped you out!

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mrs peele has 11 1/4 pounds of cookie dough a batch of cookies requires 2 1/2 of cookie dough how many batchesof cookie dough ca
Vladimir79 [104]

Answer:

4.5 lbs

Step-by-step explanation:

just divide 11.25 by 2.5

3 0
3 years ago
Consider the points A(5, 3t+2, 2), B(1, 3t, 2), and C(1, 4t, 3). Find the angle ∠ABC given that the dot product of the vectors B
Vilka [71]

Answer:

66.42°

Step-by-step explanation:

<u>Given:</u>

A(5, 3t+2, 2)

B(1, 3t, 2)

C(1, 4t, 3)

BA • BC = 4

Step 1: Find t.

First we have to find vectors BA and BC. We do that by subtracting the coordinates of the initial point from the coordinates of the terminal point.

In vector BA B is the initial point and A is the terminal point.

BA = OA - OB = (5-1, 3t+2-3t, 2-2) = (4, 2, 0)

BC = OC - OB = (1-1, 4t-3t, 3-2) = (0, t, 1)

Now we can find t because we know that BA • BC = 4

BA • BC = 4

To find dot product we calculate the sum of the produts of the corresponding components.

BA • BC = (4)(0) + (2)(t) + (0)(1)

4 = (4)(0) + (2)(t) + (0)(1)

4 = 0 + 2t + 0

4 = 2t

2 = t

t = 2

Now we know that:

BA = (4, 2, 0)

BC = (0, 2, 1)

Step 2: Find the angle ∠ABC.

Dot product: a • b = |a| |b| cos(angle)

BA • BC = 4

|BA| |BC| cos(angle) = 4

To get magnitudes we square each compoment of the vector and sum them together. Then square root.

|BA| = \sqrt{4^2 + 2^2 + 0^2} = \sqrt{20} = 2\sqrt{5}

|BC| = \sqrt{0^2 + 2^2 + 1^2} = \sqrt{5}

2\sqrt{5}\sqrt{5}\cos{(m\angle{ABC})} = 4

10\cos{(m\angle{ABC})} = 4

\cos(m\angle{ABC}) = \frac{4}{10}=\frac{2}{5}

m\angle{ABC} = cos^{-1}{(\frac{2}{5})}

m\angle{ABC} = 66.4218^{\circ}

Rounded to two decimal places:

m\angle{ABC} = 66.42^\circ

3 0
2 years ago
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ikadub [295]
If the x stands for multiplying then it will equal 7. take 7 divided by 8 and then multiply that by 8 and you get seven. did that help my dear?
7 0
2 years ago
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AURORKA [14]
The prime factors are: 2 x 2 x 3 x 3 
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Simplify each expression.<br> 1) 6(1 - 10p)- 7
Y_Kistochka [10]

Answer:

-60p - 1

Step-by-step explanation:

Distribute the parenthesis then add like terms together.

Step 1: Distribute

6 -60p - 7

Step 2: Combine like terms

-60p - 1

4 0
3 years ago
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