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3 years ago

Which expression is equivalent to (5 x 6)x(3 x 2)?

Mathematics

2 answers:

Wewaii [24]3 years ago

7 0

Answer:

30x6

Step-by-step explanation:

5x6=30

3x2=6

Elanso [62]3 years ago

7 0

Answer:

you have to give us answer choices, but one possible one would be: (3 x 10) x (36 / 6)

Step-by-step explanation:

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4 to the power of3 -(2+2to the power of 3) x 5

IRINA_888 [86]

Answer:

Step-by-step explanation:

Given the following equation;

4³ - (2 + 2³) * 5

4*4*4 - (2 + 2*2*2) * 5

64 - (2 + 8) * 5

64 - (10) * 5

64 - 50 = 14

Note: the rule of BODMAS was applied.

8 0

3 years ago

On a piece of paper, use a protractor to construct △ABC with m∠A=30° , m∠B=60° , and m∠C=90° .

ANEK [815]

Answer:

C) BC < AB

D) BC < AC

Ste p-by-step explanation:

We are given the following information in the question:

$\angle A = 30^\circ\\\angle B = 60^\circ\\\angle C = 90^\circ$

This means that the side opposite to the right angle in the triangle is AB.

Since, the side opposite to the right angle is the hypotenuse and is the longest side of the triangle, thus AB cannot be shorter than any other side of the triangle.

Hence, option C is correct

BC < AB

Also, in the triangle we have,

$tan~ 60^\circ = \displaystyle\frac{\text{Perpendicular}}{\text{Base}} = \frac{AC}{BC} = \frac{\sqrt3}{1}\\\\\Rightarrow AC > BC$

Hence, option D) is correct

BC < AC

5 0

3 years ago

Read 2 more answers

a particle is moving on the x-axis, where x is in centimeters. it has velocity v(x) in cm/s, when it is at the co-ordinate x, gi

patriot [66]

Answer:

10cm/s²

Step-by-step explanation:

Acceleration is the change in velocity of an object with respect to time.

Given velocity v(x) to be x³-2x+6

Acceleration = ∆v/∆x

Differentiating the velocity function to get acceleration we have,

Acceleration = dv/dt = 3x²-2

Acceleration of the particle at x = 2 will give;

dv/dt @ x = 2 is 3(2)²-2

= 12-2 = 10cm/s²

5 0

3 years ago

Alex is renting a kayak from Barry's boats who charges \$7.49$7.49 per hr ++ an initial rental fee. For 22 hr it will cost him \

kifflom [539]

Answer:

$20.20 is the initial fee which Alex will pay to Barry.

Step-by-step explanation:

Initial rental fees charged by Barry for his boat = x

Additional fees charged for each hour by Barry for his boat = $7.49

Duration of time for which boat was rented = 2 hours

Additional fees that will be paid by Alex for renting Barry's boat for 2 hours :

= $\$7.49\times 2=\$14.98$

Total fees paid by Alex to Barry for renting his boat = $35.1

$\$35.18=x+\$14.98$

$x=\$35.18-\$14.98=\$20.20$

$20.20 is the initial fee that Alex will pay to Barry.

4 0

4 years ago

Supply the missing dollar amounts for each of the following independent cases

melisa1 [442]

The table is an illustration of inventory.

The missing dollar amounts of the table will be calculated using the following set of formula

$\mathbf{Cost\ of\ goods\ available\ for\ sale - Ending\ inventory = Cost\ of\ Goods\ sold}$

$\mathbf{Sales - Cost\ of\ goods\ sold = Gross\ Profit}$

$\mathbf{Beginning\ Inventory + Purchases = Cost\ of\ goods\ available\ for\ sale}$

Case A

Calculate cost of ending inventory using:

$\mathbf{Cost\ of\ goods\ available\ for\ sale - Ending\ inventory = Cost\ of\ Goods\ sold}$

So, we have:

$\mathbf{\$2100 - Ending\ inventory = \$920}$

$\mathbf{Ending\ inventory = \$2100 - \$920}$

$\mathbf{Ending\ inventory = \$1180}$

Calculate the gross profit using:

$\mathbf{Sales - Cost\ of\ goods\ sold = Gross\ Profit}$

So, we have:

$\mathbf{\$1300 - \$920 = Gross\ Profit}$

$\mathbf{Gross\ Profit = \$380 }$

Case B

Calculate cost of goods sold using:

$\mathbf{Cost\ of\ goods\ available\ for\ sale - Ending\ inventory = Cost\ of\ Goods\ sold}$

So, we have:

$\mathbf{\$2200 - \$720 = Cost\ of\ Goods\ sold}$

$\mathbf{Cost\ of\ Goods\ sold = \$1480}$

Calculate the gross profit using:

$\mathbf{Sales - Cost\ of\ goods\ sold = Gross\ Profit}$

So, we have:

$\mathbf{\$1500 - \$1480 = Gross\ Profit}$

$\mathbf{Gross\ Profit = \$20 }$

Case C

Calculate sales revenue using:

$\mathbf{Sales - Cost\ of\ goods\ sold = Gross\ Profit}$

So, we have:

$\mathbf{Sales - \$800= \$1000}$

$\mathbf{Sales = \$1800}$

Calculate cost of goods available for sale using:

$\mathbf{Cost\ of\ goods\ available\ for\ sale - Ending\ inventory = Cost\ of\ Goods\ sold}$

So, we have:

$\mathbf{Cost\ of\ goods\ available\ for\ sale - \$900 = \$800}$

$\mathbf{Cost\ of\ goods\ available\ for\ sale = \$1700}$

Next, we calculate the purchases using:

$\mathbf{Beginning\ Inventory + Purchases = Cost\ of\ goods\ available\ for\ sale}$

So, we have:

$\mathbf{\$700 + Purchases = \$1700}$

$\mathbf{Purchases = \$1000}$

Case D

Calculate the cost of goods available for sale using:

$\mathbf{Cost\ of\ goods\ available\ for\ sale - Ending\ inventory = Cost\ of\ Goods\ sold}$

So, we have:

$\mathbf{Cost\ of\ goods\ available\ for\ sale - \$850 = \$1250}$

$\mathbf{Cost\ of\ goods\ available\ for\ sale = \$2100}$

Calculate beginning inventory using:

$\mathbf{Beginning\ Inventory + Purchases = Cost\ of\ goods\ available\ for\ sale}$

So, we have:

$\mathbf{Beginning\ Inventory + \$1200 = \$2100}$

$\mathbf{Beginning\ Inventory = \$3300}$

Calculate Gross Profit using:

$\mathbf{Sales - Cost\ of\ goods\ sold = Gross\ Profit}$

So, we have:

$\mathbf{\$1420 - \$1250 = Gross\ Profit}$

$\mathbf{Gross\ Profit = \$170}$

Case E

Calculate cost of goods sold using:

$\mathbf{Sales - Cost\ of\ goods\ sold = Gross\ Profit}$

So, we have:

$\mathbf{\$1600 - Cost\ of\ goods\ sold = \$1120}$

$\mathbf{Cost\ of\ goods\ sold = \$480}$

Calculate cost of ending inventory using:

$\mathbf{Cost\ of\ goods\ available\ for\ sale - Ending\ inventory = Cost\ of\ Goods\ sold}$

So, we have:

$\mathbf{\$2150 - Ending\ inventory = \$480}$

$\mathbf{ Ending\ inventory = \$1670}$