4p + 1 > −7 or 6p + 3

Copies of a famous painting were created at the local art museum for visitors to purchase. The copies had a 30% smaller area tha

lina2011 [118]

Answer:

12.6 square feet

Step-by-step explanation:

So first we set it up:

18ft is 100% of the original

and the area of the copies are 70%

Copies: x

x/70 = 18/100

70(18) = 1260

1260/100 = 12.6

x = 12.6

6 0

2 years ago

Need help with son's homework I will give 30 points!!! Please show work

Elis [28]

Answer:

A. ⇒ The expression is b + 3

B. ⇒ The expression is 2b - 4

C. ⇒ The Dr's office is closer by 4 miles

Step-by-step explanation:

A.

∵ The distance between Daniel's house and his school is b miles

∵ The swimming pool is 3 miles farther from his school

∴ The distance between Daniel's house and the swimming pool is b + 3

B.

∵ The distance from Daniel's house to his Dr's office is 4 less than twice the distance from home to Daniel's school

∵ The distance between Daniel's house and his school is b

∴ The expression of distance from Daniel's house to his Dr's office is

2b - 4

C.

∵ b = 3

∴ The distance between his house and swimming pool is:

3 + 3 = 6 miles

∴ The distance between his house and Dr's office is:

2(3) - 4 = 2 miles

∴ The Dr's office is closer to Daniel's house than the swimming pool by:

6 - 2 = 4 miles

6 0

3 years ago

A signal light is green for 4 minutes, yellow for 10 seconds, and red for 3 minutes. If you drive up to this light, what is the

posledela

Answer:

0.56 is the required probability.

Step-by-step explanation:

Time for which signal shows green light = 4 minutes

Time for which signal shows yellow light = 10 seconds

Time for which signal shows red light = 3 minutes

To find:

Probability that the signal will show green light when you reach the destination = ?

Solution:

First of all, let us convert each time to same unit before doing any calculations.

Time for which signal shows green light = 4 minutes = 4 $\times$ 60 seconds = 240 seconds

Time for which signal shows yellow light = 10 seconds

Time for which signal shows red light = 3 minutes = 3 $\times$ 60 seconds = 180 seconds

Now, let us have a look at the formula for probability of an event E:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

Here, E is the event that green light is shown by the signal.

Number of favorable cases mean the time for which green light is shown and Total number of cases is the total time <em>(Time for which green light is shown + Time for which Yellow light is shown + Time for which red light is shown)</em>

So, the required probability is:

$P(E) = \dfrac{240}{240+10+180}\\\Rightarrow P(E) = \dfrac{240}{430}\\\Rightarrow \bold{P(E) \approx 0.56 }$

5 0

2 years ago

Ratios and Proportions

irina1246 [14]

An example of a ratio would be:
1:2
3:4
5:6

An example of a proportion would be:
1/2
3/4
5/6

Hope this helps!

4 0

3 years ago

Read 2 more answers

What is the average rate for the mold over the 6 days

Ksju [112]

Answer:

10.5 square millimeter per day

Step-by-step explanation:

First, we need to find the total change in the area over the course of 6 days.

64-1=63

Now, to find the average, we divide it by 6.

63/6= 10.5

8 0

2 years ago

4p + 1 > −7 or 6p + 3 < 33?