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4 years ago

Write a expression that uses partial products to multiply 8 x 64

Mathematics

1 answer:

krok68 [10]4 years ago

3 0

8 x 64
=64 x 2 x 4
=128 x 2 x 2
=256 x 2
=512

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Peter wants to add a room to his house using a ratio of 9 to 4 for its dimensions. He will make the length of the room 17 feet.

enyata [817]

Answer:

The width of the room to nearest foot $\approx$ 8 feet

Step-by-step explanation:

Ratio of length to width of the room Peter wants to add to his house = 9:4

Given length of the room = 17 feet

To find the width of the room.

Solution:

From the given data we know that the length and width of the room bear a common ratio which is 9:4

Let width of the room in feet be = $w$

Thus, the ratio can be given as:

⇒ $\frac{Length}{Width}=\frac{9}{4}$

Plugging in length of room in the equation = 17 feet.

Solving for $w$

⇒ $\frac{17}{w}=\frac{9}{4}$

Multiplying both sides by 4.

⇒ $4\times\frac{17}{Width}=\frac{9}{4}\times4$

⇒ $\frac{68}{w}=9$

Multiplying both sides by $w$

⇒ $w\times\frac{68}{w}=9\times w$

⇒ $68=9w$

Dividing both sides by 9.

⇒ $\frac{68}{9}=\frac{9w}{9}$

∴ $w=7.55\approx 8$

Thus, the width of the room to nearest foot $\approx$ 8 feet

4 0

4 years ago

12. Which of the following is the value of x needed to make the equation

patriot [66]

Answer:

it will be c, x=8.5

Step-by-step explanation:

-18+4x=-4x+50

4x+4x=18+50

8x=68

x=8.5

6 0

3 years ago

Sarita showed the steps to solving the equation. 5 (x minus 3) + 7 (x + 4) = 73 Steps Sarita’s Solution Sarita’s Verification 1

Usimov [2.4K]

Answer: First option.

Step-by-step explanation:

The complete exercise is attached.

Given the following equation:

$5 (x-3) + 7 (x + 4) = 73$

The steps to solve it are:

1. Apply the Distributive property:

$5x-15+7x+28=73$

2. Add the like terms:

$12x+13=73$

3. Subtract5 13 from both sides of the equation:

$12x+13-(13)=73-(13)\\\\12x=60\\\\$

4. Divide both sides of the equation by 12:

$\frac{12x}{12}=\frac{60}{12}\\\\x=5$

To verify it, let's substitute $x=5$ into the equation:

$5 (5-3) + 7 (5 + 4) = 73$

Evaluating, we get:

$5 (2) + 7 (9) = 73\\\\10+63=73\\\\73=73$

Based on this, we can determine that Sarita's solution is correct, but she made an error in her verification (Observe that $5-3\neq -2$ )

3 0

4 years ago

Read 2 more answers

Which of the following is the equation of the inequality shown graphed below

mezya [45]

Answer:

2- -> y<_ X+ 3

DJDKFKFKFDJDMF

I need to reach the character limit

7 0

3 years ago

A fair coin is tossed three time sin succession. the set of equally likely outcomes is {hhh,hht,hth,thh,htt,tht,tth,ttt}. find t

n200080 [17]

There are 8 possible outcomes so that means the probability will have a denominator of 8.

Now, there is only one of the eight outcomes that has zero tails.

Therefore the probability of getting zero tails after tossing a fair coin three times in succession is

$\frac{1}{8}$

6 0

3 years ago