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2 years ago

Five times the difference of a number and 12 minus 4 times the same number is – 36. What is the equation?

Mathematics

2 answers:

Katen [24]2 years ago

8 0

Answer:

(5x - 12) - 4x = -36

Step-by-step explanation:

zhenek [66]2 years ago

8 0

Answer:

(5x - 12) - 4x = -36

Step-by-step explanation:

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What is the lateral area of a regular square pyramid if the base edges are of length 24 and perpendicular height is 5?

iren2701 [21]

Answer:

The lateral area is 624 unit²

Step-by-step explanation:

* Lets explain how to solve the problem

- The regular square pyramid has a square base and four congruent

triangles

- The slant height of it = $\sqrt{(\frac{1}{2}b)^{2}+h^{2}}$ , where

b is the length of its base and h is the perpendicular height

- Its lateral area = $\frac{1}{2}.p.l$ , p is the perimeter of the base

and l is the slant height

* Lets solve the problem

∵ The base of the pyramid is a square with side length 24 units

∵ Its perpendicular height is 5 units

∵ The slant height (l) = $\sqrt{(\frac{1}{2}b)^{2}+h^{2}}$

∴ l = The slant height of it = $\sqrt{(\frac{1}{2}.24)^{2}+5^{2}}$

∴ l = $\sqrt{(12)^{2}+25}=\sqrt{144+25}=\sqrt{169}=13$

∴ l = 13 units

∵ Perimeter of the square = b × 4

∴ The perimeter of the base (p) = 24 × 4 = 96 units

∵ The lateral area = $\frac{1}{2}.p.l$

∴ The lateral area = $\frac{1}{2}.(96).(13)$

∴ The lateral area = 624 unit²

* The lateral area is 624 unit²

4 0

3 years ago

in the year 2001, a person bought a new car for $22000. for each consecutive year after that, the value of the car depreciated b

igomit [66]

Answer:

To the nearest hundred dollars, the car will be worth $17,900 by 2005

Step-by-step explanation:

Firstly, we need to write the depreciation equation

We have this as:

V = I(1 - r)^t

V is the present value which is what we want to calculate

I is the initial value, the amount the cad was bought which is $22,000

r is the rate of change which is 5% = 5/100 = 0.05

t is the time difference which is 2005-2001 = 4

Substituting all these into the depreciation equation, we have it that

V = 22,000(1 -0.05)^4

V = $17,919.1375

To the nearest hundred dollars, that would be;

$17,900

7 0

3 years ago

Jeffery runs at an average speed of 8 mph, and he bikes at an average speed of 14 mph. Yesterday, Jeffery ran for x hours. How f

Mrac [35]

Answer:

8x miles

Step-by-step explanation:

runs with speed 8 mph
bikes at an average speed of 14 mph

distance = speed * time

Here the speed for run is 8 mph and time is x hours

So distance covered: 8 * x = 8x miles.

4 0

2 years ago

James has $25 to spend at the concession stand. He buys nachos for $8.50, a soda for $2.50 and some Sour Straws for $1.25 each.

SIZIF [17.4K]

B and D hope it’s right

8 0

2 years ago

Read 2 more answers

An $42 item was marked down by 50%<br><br> what is the new cost of the item?

Nataly_w [17]

Answer:

New Cost of item is $\$ 21$

Step-by-step explanation:

Given:

Original Cost of item = $\$ 42$

Item was marked down by $50\%$

To Calculate Cost after $50\%$ marked down we need to multiply original cost by 50 and then divide by hundred.

Cost after marked down = $\frac{42 \times 50}{100}= \$21$

Now New cost of the item is calculated by Subtracting Cost after $50\%$ marked down by Original Cost of item.

New cost of the item = $\$ 42 - \$ 21 = \$21$

7 0

3 years ago