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3 years ago

11 Which expression is equivalent to x2 - 17x - 60?

Mathematics

2 answers:

PSYCHO15rus [73]3 years ago

8 0

The answer is (x-20)(x+3)

(x-20)(x+3)
= x^2 + 3x - 20x -60
= x^2 - 17x - 60

GalinKa [24]3 years ago

6 0

Answer:60 using ac method

Step-by-step explanation:

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A pyramid has a square base with sides 100 feet long. The original height was 75 feet.

viva [34]

Step-by-step explanation:

Step 1: Find the volume of the original pyramid

$V = a^2*\frac{h}{3}$

$V=(100)^2*\frac{75}{3}$

$V=10000*25$

$V=250000$

Step 2: Find the volume of the cut off

$V=(20)^2*\frac{15}{3}$

$V = 400*5$

$V=2000$

Step 3: Find the percent that still remains

$250000-2000$

$248000$

$248000 / 250000$

$0.992*100$

$99.2$

Answer: 99.2%

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3 years ago

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One household is to be selected at random from a town. The probability that the household has a cat is 0.20.2 . The proba

dimulka [17.4K]

Answer:

There is a 50% probability that the household has a dog, given that the household has a cat.

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a household has a cat.

B is the probability that a household has a dog.

We have that:

$A = a + (A \cap B)$

In which a is the probability that a household has a cat but not a dog and $A \cap B$ is the probability that a household has both a cat and a dog.

By the same logic, we have that:

$B = b + (A \cap B)$

The probability that the household has a cat or a dog is 0.5

$a + b + (A \cap B) = 0.5$

The probability that the household has a dog is 0.4

$B = 0.4$

$B = b + (A \cap B)$

$b = 0.4 - (A \cap B)$

The probability that the household has a cat is 0.2.

$A = 0.2$

$A = a + (A \cap B)$

$a = 0.2 - (A \cap B)$

$a + b + (A \cap B) = 0.5$

$0.2 - (A \cap B) + 0.4 - (A \cap B) + (A \cap B) = 0.5$

$A \cap B = 0.1$

What is the probability that the household has a dog, given that the household has a cat?

20% of the households have a cat, and 10% have both a cat and a dog. So

$P = \frac{A \cap B}{A} = {0.1}{0.2} = 0.5$

There is a 50% probability that the household has a dog, given that the household has a cat.

4 0

3 years ago

Please help! (listing BRAINLIST and giving points) :)

Firlakuza [10]

Answer:

7 hrs

Step-by-step explanation:

$187 for 11 hrs

$119 for x hrs

write a proportion.

187/11 = 119/x since Reuben is making money at the same rate.

solve for x:

187x = 1309

x=7

7 hours

7 0

3 years ago

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Find the area of a triangle with the given base and height 7ft, 2in

Alekssandra [29.7K]

Answer:

A = 84 inches^2

Step-by-step explanation:

We know that the formula for the area of a triangle is given by

A = 1/2 b*h

Let's substitute what we know

We need the units to be the same

Convert 7 ft to inches

1 ft = 12 inches

Multiply both sides by 7

7 ft = 84 inches

A = 1/2 *84*2

A = 84 inches^2

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3 years ago

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Help needed ASAP please

svetoff [14.1K]

The answer is 30.5 cm2

4 0

3 years ago