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sveticcg [70]
3 years ago
5

Simplify Show your work.513 +-3918​

Mathematics
1 answer:
Orlov [11]3 years ago
7 0

Answer:

-3405

Step-by-step explanation:

So first you subtract 513 from 3918.

This way, you are doing basically an additive inverse.

So you so that and you get the answer. Because you are adding a negative, you are taking away from the positive and going into the negative, which would give you -3,405.

Hope this helped you a little!!^_^

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On his outward journey, Ali travelled at a speed of s km/h for 2.5 hours. On his return journey, he increased his speed by 4 km/
den301095 [7]

Answer:

3.08 km/h.

Step-by-step explanation:

We know that,

Speed=\dfrac{Distance}{Time}

Ali traveled at a speed of s km/h for 2.5 hours.

Let d be the distance and t be the time.

2.5=\dfrac{d}{t}

2.5t=d      ...(1)

On his return journey, he increased his speed by 4 km/h and saved 15 minutes. So, distance is d and times is t-15.

4=\dfrac{d}{t-15}

4(t-15)=d      ...(2)

From (1) and (2), we get

4(t-15)=2.5t

4t-60-2.5t=0

1.5t=60

t=40

Put t=40 in (1).

d=2.5(40)=100

So, t=40 and d=100.

Now,

Total distance = d + d = 100 + 100 = 200

Total time = t + t - 15 = 40 + 40 - 15 = 65

So, the average speed is

\text{Average speed}=\dfrac{\text{Total distance}}{\text{Total time}}

\text{Average speed}=\dfrac{200}{65}

\text{Average speed}\approx 3.08

Therefore, the average speed is 3.08 km/h.

3 0
3 years ago
A medical devices company wants to know the number of hours its MRI machines are used per day. A previous study found a standard
4vir4ik [10]

The company has to study 199 machines.

In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.

It is given that;

Margin of error E = 0.7

Confidence interval 98% = 1-0.98 = 0.02

Standard deviation = 6 hours

Number of MRI machines needed per day n, = [(z alpha/2 * SD)/E]²

Z alpha/2 = 1.645 at alpha = 0.1

Inputting these values into n we have that

[(1.645*6)/0.7]²

= 14.1²

= 198.81 is approximately equal to 199

The company has to study 199 machines.

To know more about standard deviation visit: brainly.com/question/475676

8 0
2 years ago
Find the solution <br><br><br> 3(x - 4)+ 2x =23
horsena [70]

Answer:

the answer for that is :

x = 7

3 0
2 years ago
Read 2 more answers
Please show your work. The data modeled by the box plots represents the battery life of two different brand of batteries that Ji
Diano4ka-milaya [45]
(a) Brand X median  = 13
      Brand Y median = 16

Median is the center dot in the shaded box (in blue color). Look at the Time (h) axis for their values. For Brand X it is 13 whereas for the Brand Y it is 16

(b) If we compare their median values we can see that the difference is 3 hours (16-13 = 3). It means that the Brand Y battery will last longer compared to Brand X battery as Brand Y lasts for 16 hours whereas Brand X battery lasts for 13 hours. 
7 0
3 years ago
Without multiplying, order the following products from least to greatest. 23* 2/2 23* 1/4 23* 13/5
Romashka-Z-Leto [24]
Answer:

From least to greatest

23* 1/4, 23* 2/2, 23* 13/5

Explanation

In order to do this without multiplication, place the fractions in ascending order.

The denominators of these fractions have 20 as a common multiple.

2/2 • 10 = 20/20

1/4 • 5 = 5/20

13/5 • 4 = 52/20

From this it logically follows that the fractions in ascending order are:

1/4, 2/2, 13/5

Therefore the products in ascending order are:

23* 1/4, 23* 2/2, 23* 13/5



7 0
3 years ago
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