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ivanzaharov [21]
3 years ago
8

What is the solution for the system of linear equations?

Mathematics
2 answers:
seraphim [82]3 years ago
8 0
A (2,3)
hope that help
LenKa [72]3 years ago
7 0
The correct answer is A
Hope this helped :)
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At carl's combine diner, there are three size of coffee drinks regular (300ml), large (500ml) and extra large (800mL), and they
MariettaO [177]

Answer:

The number of regular, large, and extra-large drinks are 12, 15, and 10 respectively.

Step-by-step explanation:

Given that the cost for regular coffee drinks (300 ml)=$2.25

The cost for large coffee drinks (500 ml)=$3.25

The cost for extra large coffee drinks (800 ml)=$5.75

Let p,q, and r be the number of regular, large, and extra-large coffee sold.

As the diner sold a total of 37 coffees, so

p+q+r=37

r=37-p-q...(i)

The volume of p regular coffee = 300p ml

The volume of q  large coffee = 500q ml

The volume of r extra-large coffee = 800r ml

As the total volume of coffee sold was 19,100mi, so

300p+500q+800r=19100

By using equation (i)

300p+500q+800(37-p-q)=19100

300p+500q+800 x 37 - 800p - 800q=19100

-500p-300q=19100-29600

500p+300q=10500

500p=10500-300q

p=21-0.6q...(ii)

Now, the cost of p regular coffee=$2.25p

The cost of q large coffee=$3.25q

The cost of r extra-large coffee=$5.75r

As the amount of money made in coffee sales was $133.25, so

2.25p+3.25q+5.75r=133.25

By using equations (1)  we have

2.25p+3.25q+5.75(37-p-q)=133.25

2.25p+3.25q+212.75-5.75p-5.75q=133.25

3.50p+2.50q=79.5

From equation (ii)

3.5(21-0.6q)+2.50q=79.5

73.5-2.1q+2.5q=79.5

0.4q=79.5-73.5=6

q=6/0.4

q=15

From equation (ii)

p=21-0.6(15)

p=12

From equation (i)

r= 37-12-15

r=10

Hence, the number of regular, large, and extra-large drinks are 12, 15, and 10 respectively.

5 0
3 years ago
a football team gained 9 yards on one play and then lost 22 yards on the next.write a sum of intergers to find the overall chang
s2008m [1.1K]
Let x be the original position.

After the first play they gain 9 yards. The position can be represented by
x + 9

After the second play they lose 22 yards. The position can be represented by
x + 9 - 22 = x - 13

Therefore, in total they lost 13 yards.
5 0
3 years ago
URGENT!!!The number of questions on a math test is represented (3x+1). The number of questions on a spelling test is represented
timama [110]
(3x+1)-(x+12)

(24+1)- 20

25-20=5

5 more questions
7 0
3 years ago
-x=-24 <br> it’s for pre-algebra
labwork [276]
So -x can also represent -1

You want to divide both sides by -1 so you can get -x to be just x

-x divided by -1 = x
-24 divided by -1 = 24

Your answer is x=24
8 0
3 years ago
Find the next two numbers in the pattern.<br> 7, -28,112, -448,<br> Fill in the blank with 2 numbers
erastovalidia [21]

Answer:

1792, -7168

Step-by-step explanation:

If you can find the constant number multiplied in the pattern, you know that it multuplies by -4. -448 times -4 will be a positive number, which the answer is 1792 if you use the calculator, then you use 1792 and multiplie that by -4 to get -7168.

That's the answer, 1792, then -7168.

5 0
3 years ago
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