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3 years ago

Write a real-world problem for each problem. 1. 5x - 10 = 40 2. 3x + 4 = 13

1 answer:

6 0

1. I have 5 times some number of shoes. I give 10 away and now have 40. How many shoes did I originally start with?

2. I have 3 times some number of apples. I get 4 more apples. What amount of apples did I originally<span> start with? </span>

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The area of a right triangle is 270 square meters. The height of the right triangle is 15 meters. What is the length of the hypo

soldi70 [24.7K]

Answer:

$\sqrt{549}$ ≈ 23.4

Step-by-step explanation:

A = bh

270 = 15b

b = 18

Now you know the two legs, use the Pythagorean Theorem to find the value of the hypotenuse: a² + b² = c²

15² + 18² = c²

225 + 324 = c²

c² = 549

c = √549

8 0

3 years ago

Read 2 more answers

Check that 2b+b and 3b have the same value when b is 1,2, and 3. Do 2b+b and 3b have the same value for all values of b? Explain

Inessa [10]

Answer:

Expression 2b+b and 3b have same values for all values of b.

Step-by-step explanation:

Given the two expression $2b+b$ and $3b$ and values of b as 1, 2 and 3.

Consider first expression that is, $2b+b$ .

Substituting the value of $b=1$ ,

$2\left(1\right)+\left(1\right)=2+1=3$ ....1

Substituting the value of $b=2$ ,

$2\left(2\right)+\left(2\right)=4+2=6$ ....2

Substituting the value of $b=3$ ,

$2\left(3\right)+\left(3\right)=6+3=9$ ....3

Consider second expression that is, $3b$ .

Substituting the value of $b=1$ ,

$3\left(1\right)=3$ ....4

Substituting the value of $b=2$ ,

$3\left(2\right)=6$ ....5

Substituting the value of $b=3$ ,

$3\left(3\right)=9$ ....6

For value of b=1, equation 1 and equation 4 are same, for value of b=2, equation 2 and equation 5 are same and for value of b=3 equation 3 and equation 6 are same.

Therefore both expression are same for all values of b.

3 0

3 years ago

Image attached, please help.

tia_tia [17]

Answer:

B 3x: 51 = 3x+24: 85

Step-by-step explanation:

Since the triangles are similar

PS PQ

------- = -----------

PT PR

Substitute the values in

3x 3x+24

------- = -----------

51 85

3x: 51 = 3x+24: 85

4 0

3 years ago

Madeline works as a part time job at Parkland Hospital for $20 per hour. She worked for 10 hours last week and must pay 10% in t

ioda

Answer:

Step-by-step explanation:

20 x 10 = 200

10% = 0.10

200 x 0.10 = 20

7 0

3 years ago

Read 2 more answers

Situation D: Suppose that, in a one-minute period during an electrical storm, the number of lightning strikes on a radar antenna

Crank

Answer:

21.77% probability that the antenna will be struck exactly once during this time period.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

In this question:

$\mu = 2.40$

Find the probability that the antenna will be struck exactly once during this time period.

This is P(X = 1).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 1) = \frac{e^{-2.40}*2.40^{1}}{(1)!} = 0.2177$

21.77% probability that the antenna will be struck exactly once during this time period.

3 0

3 years ago