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2 years ago

How many solutions does the system have?

Mathematics

1 answer:

nasty-shy [4]2 years ago

7 0

Answer:

infinitely many solutions

Step-by-step explanation:

we have: x+6y= 3

5x+30y=15

where a1/a2 = b1/b2 = c1/c2 (1/5 = 6/30 = 3/15)

Thus, the system has infinitely many solutions.

another approach:

convert to slope-intercept form

y= -1/6x + 1/2

thus, the system has infinitely many solutions.

(explain: if two lines have a same slope (-1/6), they can be either parallel or coincided. But in this case, they also have a same y-intercept so they must be the latter case)

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A. 30 -1 =7<br> B.<br> 32 = 8<br> 1) How can we get Equation B from Equation A?

mixer [17]

Answer:

you +1 on each side

Step-by-step explanation:

a is 30-1=7

b is 32=8

to get from "a" to "b" you simply add one on both sides

32 - 1 = 7

+ 1 +1

------------------

32=8

6 0

3 years ago

Jerome will also order t-shirt for the volunteers he will both adults and child sized t-shirt adults t-shirt are $5;and child t-

Daniel [21]

<h3><u>The two inequalities are:</u></h3>

$a\geq 200\\\\5a + 2.50c\leq 1500$

<h3><u>Solution:</u></h3>

Let "a" be the number of adult sized t shirts

Let "c" be the number of child sized t shirts

Given that,

Each Adult sized t shirts = $ 5

Each child sized t shirts = $ 2.50

<h3><u>Jerome need at least 200 adults t-shirt</u></h3>

Therefore,

$a\geq 200$

Here, we used "greater than or equal to" symbol, since he needs atleast 200 adult t-shirts

<h3><u>Jerome will spend no more than $1500 on t-shirt</u></h3>

Therefore,

$5a + 2.50c\leq 1500$

Here we used, "less than or equal to" symbol, since he will not spend more than 1500

Thus the two inequalities are found

3 0

2 years ago

The temperature in frostburg is -7.This is 18 less than the temperature in coldspot.Find the temperature of coldspot

Drupady [299]

If the temperature in frostburg is 18 less than the temperature in coldspot, then the following equation compares the two temperatures:

$f = c-18$

where $f,c$ are the temperatures in frostburg and coldspot. Since we're given $f$ , we can solve for $c$ :

$-7 = c-18 \iff c = -7+18 = 11$

6 0

3 years ago

Correct answer only plz thank you!

strojnjashka [21]

Answer:

Step-by-step explanation:

GI is made up of the segments GH and HI. In other words:

$GI=GH+HI$

We know that GH is 2 and GI is 7. Substitute:

$7=2+HI$

Subtract 2 from both sides:

$HI=5$

So, our answer is B.

And we're done!

3 0

3 years ago

Please help!!! i need this question done

Bingel [31]

The answer is c .........

7 0

3 years ago