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77julia77 [94]
3 years ago
5

Solve the following system of equations.

Mathematics
1 answer:
vodomira [7]3 years ago
7 0

Answer:

a = 6/5

b = 7/8

c = 1/5

Step-by-step explanation:

We want to make two of these equations be in terms of the same variable, so let's solve the first and third  in terms of b.  

5a-24b=-15 -> -3 + 24b/5 = a

48b+35c = 49 -> 49/35 - 48b/35 = 7/5 - 48b/35 = c

Now we can replace the a and c in the second equation and solve for b.

10a+45c=21

10(-3+24b/5)+45(7/5 - 48b/35) = 21

-30 + 48b + 63 - 432b/7 = 21 -> -12 = -96b/7 -> b=7/8

Now we can plug b back into the other two to solve for a and c.  I will leave that to you unless you would like the steps there.

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The least common denominator for the question you have supplied me with is 10. The least common multiple of the denominators, 5 and 10, is 10, making the LCD 10.
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4 years ago
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Which scatterplot represents the data given in the table which shows the number of oranges in bags and the weights of the bags?
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Answer:

I would need to see an actual table to answer this question.

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Which steps would you use to plot the point (7, −6, −5) in a 3-dimensional coordinate system starting from the origin?
I am Lyosha [343]

Answer:

B. move forward 7, left 6, and down 5

Step-by-step explanation:

By the <u>convention of 3D geometr</u>y, the coordinates of a point (x,y,z) represent how far the point is from the origin forward-backward , right/left , up-down respectively with prior one for the positive coordinate and latter for the negative coordinate.

so we need to move forward 7 for x=7 then to left 6 for y=-6 and then down 5 for z=-5.

3 0
3 years ago
A car enters a turnpike 22 miles north of the town. The car travels north at an average speed of 60 miles per hour. How far is t
QveST [7]

Answer:

y = 60x + 22

262 miles

Step-by-step explanation:

Given that the car enters the turnpike at 22 miles, his initial starting point, or initial value (b) is 22.  You also know the rate at which the car travels is 60 miles per hour, which is the slope (m).  Using the slope-intercept formula of a linear function: y = mx + b, you can plug in your initial value and rate:

y = 60x + 22, where y = the total miles and x = the number of hours traveled

After 4 hours:

y = 60(4) + 22 = 240 + 22 = 262 miles

8 0
3 years ago
A department​ store, on​ average, has daily sales of ​$28 comma 286.28. The standard deviation of sales is ​$1 comma 500. On​ Tu
wolverine [178]

Answer:

z-score = 4.43,

It is a Good day

Step-by-step explanation:

The provided information is:

Mean = $28,286.28

Standard deviation = $1,500

Let x be the sell of department store on Tuesday.

Then, x = $34,924.62

The z-score is define as:

z=\dfrac{x-\mu}{\sigma}\\\\=\dfrac{34924.62-28286.28}{1500}\\\\=4.43      

Thus, the Tuesday's z-score is 4.43. So this is usually good day.

3 0
3 years ago
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