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BartSMP [9]
3 years ago
13

What is the ratio of 364:78

Mathematics
1 answer:
Klio2033 [76]3 years ago
8 0
You'd want to simplify that by dividing both terms by the greatest common factor which is the product of the shared primes of both numbers prime factorization...

364=2*2*7*13, 78=2*3*13, so the GCF is 2*13=26, now divide both terms by 26

14:3
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What is 0.25 ÷ 5.46 (show ur work)
kenny6666 [7]

Answer:

0.04578

Step-by-step explanation:

Hope this helps somewhat.

4 0
2 years ago
Read 2 more answers
A jogger goes half a mile north and then turns west. If the jogger finishes 1.3 miles away from the starting point, how far west
Ratling [72]
In order to solve this problem, you must draw a right triangle first to help you visualize the path of the jogger. 
You are given 0.5 miles north (which will be the height of the right triangle), and 1.3 miles (which will be the hypotenuse of the triangle). 
Using Pythagorean Theorem: a²+b²=c², we have:
0.5² + b² = 1.3²
b = 1.3²-0.5²
b = 1.2 miles
3 0
2 years ago
13)
grandymaker [24]

Given :

Ryan works two jobs. He earns $10 per hour working at the hardware store, and he earns $13 per hour working at the shipping.

To Find :

If x represents hours at the hardware store and y represents hours at the shipping company, which inequality represents  the situation if Ryan wants to earn a minimum of $300.

Solution :

His total earning is given by :

T = 10( number of hours at hardware store ) + 13( number of hours at the shipping)

T = 10x + 13y

Now, he wants to earn a minimum of $300 i.e T ≥ $300.

So, 10x + 13y ≥ 300

Hence, this is the required solution.

8 0
3 years ago
What is the equation of the line that passes through the point (-4,8) and has a slope of -1/4
iragen [17]

Answer:

Step-by-step explanation:

When a slope of a line and a point passing through it is given then we use slope - one point form to determine the equation of the line.

It is given by:

                      $ (y - y_1) = m (x - x_1) $

where $m$ is the slope of the line and

           $ (x_1, y_1) $ is the point passing through it.

Here, $ m = \frac{-1}{4} $ and $ (x_1,y_1) = (-4,8) $

Substituting in the equation:

$ y - 8 = \frac{-1}{4} (x + 4) $

$ \implies 4y - 32 = -x - 4 $

$ \implies x + 4y - 28 = 0 $

3 0
3 years ago
A random sample of 100 workers in one large plant took an average of 12 minutes to complete a task, with a standard deviation of
SCORPION-xisa [38]

Answer:

The 95% Confidence Interval for the difference between the two population mean completion times =

(0.081, 1.919)

Step-by-step explanation:

Confidence Interval for difference between two means =

μ1 -μ2 ± z × √ σ²1/n1 + σ²2/n2

Where

μ1 = mean 1 = 12 mins

σ1 = Standard deviation 1 = 2 mins

n1 = 100

μ2= mean 2 = 11 mins

σ2 = Standard deviation 2 = 3 mins

n1 = 50

z score for 95% confidence interval = 1.96

μ1 -μ2 ± z × √ σ²1/n1 + σ²2/n2

= 12 - 11 ± 1.96 × √2²/100 + 3²/50

= 1 ± 1.96 × √4/100 + 9/50

= 1 ± 1.96 × √0.04 + 0.18

= 1 ± 1.96 × √0.22

= 1 ± 1.96 × 0.469041576

= 1 ± 0.9193214889

Confidence Interval

= 1 - 0.9193214889

= 0.0806785111

≈ 0.081

1 + 0.9193214889

= 1.9193214889

≈ 1.919

Therefore, the 95% Confidence Interval for the difference between the two population mean completion times =

(0.081, 1.919)

5 0
3 years ago
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