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2 years ago

12(1.5x+2) = 14(x+10.5)

Mathematics

1 answer:

Butoxors [25]2 years ago

5 0

Answer:

No Solution.

X cannot equal anything in order for these to be equal.

Step-by-step explanation:

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The perimeters of two squares are in the ratio 2 : 4. The perimeter of

Bess [88]

Answer:

Step-by-step explanation:

2 : 4

8 : 16

8 0

2 years ago

A washer and dryer cost a total of $924. The cost of the washer is two times the cost of the dryer. Find the cost of each item.

marshall27 [118]

Answer:

Washer = $616, Dryer = $308

Step-by-step explanation:

When something is twice the cost of something else but add up to be a total number that means 2/3rds is one item and 1/3 is the other.

924 / 3 = 308

308 * 2 = 616

308 + 616 = 924

6 0

3 years ago

Can somebody prove this mathmatical induction?

Flauer [41]

Answer:

See explanation

Step-by-step explanation:

1 step:

n=1, then

$\sum \limits_{j=1}^1 2^j=2^1=2\\ \\2(2^1-1)=2(2-1)=2\cdot 1=2$

So, for j=1 this statement is true

2 step:

Assume that for n=k the following statement is true

$\sum \limits_{j=1}^k2^j=2(2^k-1)$

3 step:

Check for n=k+1 whether the statement

$\sum \limits_{j=1}^{k+1}2^j=2(2^{k+1}-1)$

is true.

Start with the left side:

$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}\ \ (\ast)$

According to the 2nd step,

$\sum \limits_{j=1}^k2^j=2(2^k-1)$

Substitute it into the $\ast$

$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}=2(2^k-1)+2^{k+1}=2^{k+1}-2+2^{k+1}=2\cdot 2^{k+1}-2=2^{k+2}-2=2(2^{k+1}-1)$

So, you have proved the initial statement

4 0

3 years ago

A rectangular tank has length 4m, width 12m and height 3.5..i. If the tank is filled with water 2/3 of its capacity ,calculate t

ipn [44]

Answer:

The volume of the water in the tank is 112 m³

Step-by-step explanation:

The volume of the rectangular prism V = L × W × H, where

L is its length

W is its width

H is its height

∵ A rectangular tank has a length of 4 m, a width of 12 m, and

a height of 3.5 m

∴ L = 4 m

∴ W = 12 m

∴ H = 3.5 m

∵ V = L × W × H

∴ The volume of the tank = 4 × 12 × 3.5

∴ The volume of the tank = 168 m³

∵ The tank is filled with water $\frac{2}{3}$ of its capacity

→ That means the volume of the water is $\frac{2}{3}$ the volume of the tank

∵ The volume of the water = $\frac{2}{3}$ the volume of the tank

∴ The volume of the water = $\frac{2}{3}$ × 168

∴ The volume of the water = 112 m³

∴ The volume of the water in the tank is 112 m³

3 0

2 years ago

Study the pattern. What is the next number in the pattern 678 621 564

garri49 [273]

The pattern rule is minus 57.

564 - 57 = 507.

The answer is 507.

4 0

3 years ago

Read 2 more answers