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Alex17521 [72]
3 years ago
12

Solve the system by the elimination method 6x+2y=-16 -x-3y=-16

Mathematics
1 answer:
koban [17]3 years ago
5 0
Eliminate y's
multiply first equation by 3 and 2nd by 2 and addd them

18x+6y=-48
<u>-2x-6y=-32 +</u>
16x+0y=-80

16x=-80
divide both sides by 16
x=-5
sub back

-x-3y=-16
-(-5)-3y=-16
5-3y=-16
-3y=-21
y=7

(x,y)
(-5,7)
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Dhanraj spent $204.20 purchasing volleyballs and basketballs.
Lemur [1.5K]

Answer:

Number of volleyballs bought = 8

Number of basketballs bought = 11

Step-by-step explanation:

Given that:

Total amount spent = $204.20

Let,

x be the number of volleyballs

y be the number of basketballs

According to given statement;

y = x+3     Eqn 1

8.20x+12.60y=204.20     Eqn 2

Putting value of y from Eqn 1 in Eqn 2

8.20x + 12.60(x+3) = 204.20

8.20x + 12.60x + 37.80 = 204.20

20.80x = 204.20 - 37.80

20.80x = 166.40

Dividing both sides by 20.80

\frac{20.80x}{20.80}=\frac{166.40}{20.80}\\x=8

Putting x=8 in Eqn 1

y = 8+3 = 11

Hence,

Number of volleyballs bought = 8

Number of basketballs bought = 11

6 0
3 years ago
HELP ME OUT PLEASE! ILL GIVE YOU 16 POINTS
WINSTONCH [101]

1.y-4.90 = 2.4(x-1) 2. 24x-10y= -25

Step-by-step explanation:

The point-slope form of an equation is written as ;

y-y₁ = m(x-x₁) where the focus is on the slope of the line and a point on the line.

In this case, y-4.90 = 2.4(x-1)

The standard form an equation is written as :

Ax+By=C ,where x and y are variables and A,B and C are integers.

In this case; 24x-10y= -25

Learn More

Point-slope intercept form of an equation; brainly.com/question/11016508

Keywords :point-slope, standard form, equation

#LearnwithBrainly

8 0
4 years ago
A. imagine that you are one of the people who left the luncheon with a contagious disease and interacted with an average of 9 di
shusha [124]

1.       In line with the test each person who came into interaction with the infected person will become infected also. With this information, the calculation would be: 9 people each day for 7days would be equivalent to 9 x 7 which equals 63 people.

2.       Here were 7 other people in the experiment if patient zero is left out. If each person intermingled with 6 different people every day in 7 days then the calculation would be: 7 people infected x 6 new people = 42 infected people each day

42 new people every day x 7 days = 294 infected persons.

8 0
3 years ago
5m + 9n if m = -7 and n = 4
dusya [7]

Answer:

1

Step-by-step explanation:

5m + 9n

5(-7) + 9(4)

-35 + 36

1

8 0
3 years ago
Read 2 more answers
If a dart were thrown randomly at the dart board shown below, what is the
klemol [59]

Answer: A. 31%

Step-by-step explanation:

First you need to find the area within each circle. This can be found by using the formula: pi * r^2

The area of the circle with radius 8mm is 64 * pi. The area of the circle with radius 14mm is 196 * pi.

196 * pi = 615.75216

64 * pi = 201.06193

Now divide the larger area by the smaller area to get how many times larger the large area is than the small area.

615.75216 / 201.06913 = 3.06239

3.06239 rounds up to 3.1

Now we know the radius of 14mm has an area 3.1 times the area of 8mm. The area of an 8mm radius has 31% of the area of a 14mm radius.

5 0
3 years ago
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