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Rufina [12.5K]
3 years ago
8

A cell phone company tests 110 cell phones and finds that 4 of them have defects. Out of 550 cell phones, how many would you exp

ect to have defects?
Mathematics
1 answer:
Ivan3 years ago
7 0

Answer:

<em>330</em>

Step-by-step explanation:

So You have to add 110+550 cell phones because they both have defects and by finding out how many more have defects you have to multiply by 4 to get 330 phones so It will look like this. < 110+550*4 because the problem is asking you to figure out how <em> many more cell phones have defects so by multiplying by 4 that would be your answer. I hope this helped!!! (":</em>

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You find 72 coins consisting only of nickels, dimes, and quarters, with a face value of $10.20. However, the coins all date from
Oliga [24]

Answer:

You have found 24 nickels.

Step-by-step explanation:

Let N be the number of nickles, D be the number of dimes and Q be the number of quarters. The number of coins and their face values are given by the following expressions, respectively:

N+D+Q=72\\0.05N+0.10D+0.25Q=10.20

As of now we have three variables and two expressions, the final expression needed to solve the linear system is given by the amount offered by the coin dealer:

10N+20D+15Q=1,060

Solving the linear system:

N+D+Q=72\\5N+10D+25Q=1,020\\10N+20D+15Q=1,060\\\\10N-10N+20D-20D+15Q-50Q=1,060-(2*1,020)\\-35Q=-980\\Q=28\\\\5N-10N+10D-10D+25Q-10Q=1,020-720\\-5N+15Q=300\\-5N=300-(15*28)\\N=24

You have found 24 nickels.

7 0
3 years ago
What is the product of 76 and 6.0 x 10^2 expressed in scientific notation?
victus00 [196]

Answer: 676

Step-by-step explanation: 6.0 x 10^2=600   600+76=676

6 0
4 years ago
The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airplane each year has increased
taurus [48]

Answer:

2010.

Step-by-step explanation:

We have been given an exponential growth formula P(t)=466\cdot 1.035^t, which represents number of passengers traveling by airplane since 1990.

To find the year in which 900 million passengers will travel by airline, we will equate the given formula by 900 and solve for t as:

900=466\cdot 1.035^t

\frac{900}{466}=\frac{466\cdot 1.035^t}{466}1.9313304721030043=1.035^t

Take natural log of both sides:

\text{ln}(1.9313304721030043)=\text{ln}(1.035^t)

Using property \text{ln}(a^b)=b\cdot \text{ln}(a), we will get:

\text{ln}(1.9313304721030043)=t\cdot \text{ln}(1.035)

0.658209129198=t\cdot 0.034401426717

\frac{0.658209129198}{0.034401426717}=\frac{t\cdot 0.034401426717}{0.034401426717}

19.1331927775=t\\\\t=19.1331927775

This means that in the 20th year since 1990, 900 million passengers would travel by airline.

1990+20=2010

Therefore, 900 million passengers would travel by airline in 2010.

6 0
3 years ago
Write an equation of the parabola in vertex form. <br><br>No LINKS!!!! ​
marissa [1.9K]

9514 1404 393

Answer:

  y = -16x² +180

Step-by-step explanation:

The vertex appears to be the high point of the graph, (0, 180). Then the vertex form equation is ...

  y = a(x -0)² +180

The value of 'a' can be found using the other given point. Substituting for x and y, we have ...

  164 = a(1 -0)² +180

  -16 = a

Then the complete simplified vertex form equation is ...

  y = -16x² +180

8 0
3 years ago
Find each sum use the symbols to tell if the sum is greater than or less than
malfutka [58]

no offence but how r we supposed\ to help me when there is nothing to look at bro

4 0
3 years ago
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