The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equationsgraphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

8 0

3 years ago

how many pounds of candy worth $12 per pound should be mixed with candy costing $19 per pound to produce a 70 pound mixture that

sweet-ann [11.9K]

Answer:

40 pounds

Step-by-step explanation:

Given: Cost of a candy $(c_1)$ = $\$ 12$ per pound

Cost of candy $(c_2) = \$ 19\ per\ pound$

Total amount of mixture of be produced = $70\ pound$

Selling price of mixture = $\$ 15 \ per\ pound$

Let´s x be the amount of $c_1$ to be mixed in the mixture.

∴ Cost of $c_1$ in the mixture = 12x

Next, Cost of $c_2$ in the mixture = $(70 - x)\times 19$

And we know the cost of final mixture = $70 \times 15 = 1050$

Now, putting all the value in the equation

⇒ $12x + 19 \times (70 - x) = 1050$

⇒ $1330 - 7x = 1050$

⇒ $-7x = -280$

∴ $x = 40\ pound$

∴ 40 pounds of candy worth $12 per pound to be mixed in the mixture.

6 0

3 years ago

There are 60 tables in a restaurant, with 25% of them seating 22 people. The tables remaining seat 44 people. How many seats are

spin [16.1K]

Find how many seat 22 people
25% of 60=1/4 times 60=15 tables

60-15=45 tables that seat 44

number of seats=22 times number of 22tables+44 times number of 44tables
number of seats=22 times 15+44 times 45
number of seats=330+1980
number of seats=2310 seats

4 0

3 years ago

HELP!!!

Eva8 [605]

Answer:

False

Step-by-step explanation:

A ratio is not necessarily a comparison between quantities with different units, quantities with the same units can be in a ratio in mathematics.

7 0

3 years ago