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4 years ago

What is 4x+6y=-6 6y=18

Mathematics

1 answer:

777dan777 [17]4 years ago

6 0

Answer:

x=-6

y=3

Step-by-step explanation:

You need to plug the equations in

{4x+6y=-6

{6y=18

4x+18=-6

subtract 18 from both sides

4x=-24

x=-6

6y=18

y=3

You might be interested in

Brad has eight more nickels than quarters. Altogether he has $6.10. how many of each does he have

wlad13 [49]

Brad have 19 quarters and 27 nickels.

Step-by-step explanation:

Given,

Total worth of nickels and quarters = $6.10 = 6.10*100 = 610 cents

One quarter = 25 cents

One nickel = 5 cents

Let,

x represent the number of quarters.

y represent the number of nickels.

According to given statement;

25x+5y=610 Eqn 1

y = x+8 Eqn 2

Putting value of y from Eqn 1 in Eqn 2

$25x+5(x+8)=610\\25x+5x+40=610\\30x=610-40\\30x=570$

Dividing both sides by 30

$\frac{30x}{30}=\frac{570}{30}\\x=19$

Putting x=19 in Eqn 2

$y=19+8\\y=27$

Brad have 19 quarters and 27 nickels.

Keywords: linear equation, subtraction

Learn more about subtraction at:

#LearnwithBrainly

7 0

3 years ago

Pls help me on number 5

Alekssandra [29.7K]

Answer is A trust me

7 0

3 years ago

Read 2 more answers

The radius of the cone is 1.75 inches, and its height is 3.5 inches. If the diameter of the bubble gum ball is 0.5 inches, what

julia-pushkina [17]

Answer:

=11.155 in³

Step-by-step explanation:

Given data:

Radius= 1.75 inches

Height = 3.5 inches

Diameter= 0.5 inches

To find the volume of a cone we will apply the formula:

Volume of a cone = 1/3 πr²h

Substitute the values:

V= 1/3* 3.14 *(1.75)² * 3.5

V=1/3 *3.14*(3.0625)* 3.5

V= 33.66/3

V=11.22 in³

Now find the volume of the bubble gum:

Volume of bubble gum = 4/3 π*r³

Substitute the values:

V= 4/3*3.14*(0.5/2)³

V=4/3*3.14(0.25)³

V=4/3*3.14(0.015625)

V=0.19625/3

V=0.0654 in³

Now subtract the volume of bubble gum ball from the volume of a cone

=11.22 - 0.0654

=11.155 in³

Thus the closest approximation of the volume of the cone that can be filled with flavored ice is 11.155 in³....

6 0

3 years ago

Marcel is performing the first test on his company's new electric car. During the test, the electric car reaches a maximum speed

valentina_108 [34]

Answer:

C. The electric car is not moving at 0 seconds and 12 seconds.

Step-by-step explanation:

Given:

The table given is:

x 0 2 4 6 8 10 12

y 0 45 72 81 72 45 0

From the above table, we observe that the car starts from rest and its speed increases from 0 to 6 seconds, the maximum speed being 81 mph.

After 6 seconds, the speed of the car goes on decreasing till it stops at time equal to 12 seconds.

So, the speed of the car at the start when $x=0$ is 0 mph as it is at rest at that time.

Also, when the time is $x=12\ s$ , the car has come to a stop and thus its speed has reduced to 0 mph again. So, the car is not moving after 12 seconds.

From the above conclusion, we can say that only option C is correct.

The electric car is not moving at 0 seconds and 12 seconds.

3 0

3 years ago

Read 2 more answers

2 Here are two equations:

MatroZZZ [7]

a. (3,4) is only the solution to Equation 1.

(4, 2.5) is the solution to both equations

(5,5) is the solution to Equation 2

(3,2) is not the solution to any equation.

b. No, it is not possible to have more than one (x,y) pair that is solution to both equations

Step-by-step explanation:

a. Decide whether each neither of the equations,

i (3,4)

ii. (4,2.5)

ill. (5,5)

iv. (3,2)

To decide whether each point is solution to equations or not we will put the point in the equations

Equations are:

Equation 1: 6x + 4y = 34

Equation 2: 5x – 2y = 15

i (3,4)

Putting in Equation 1:

$6(3) + 4(4) = 34\\18+16=34\\34=34\\$

Putting in Equation 2:

$5(3) - 2(4) = 15\\15-8 = 15\\7\neq 15$

ii. (4,2.5)

Putting in Equation 1:

$6(4) + 4(2.5) = 34\\24+10=34\\34=34\\$

Putting in Equation 2:

$5(4) - 2(2.5) = 15\\20-5 = 15\\15=15$

ill. (5,5)

$6(5) + 4(5) = 34\\30+20=34\\50\neq 34$

Putting in Equation 2:

$5(5) - 2(5) = 15\\25-10 = 15\\15=15$

iv. (3,2)

$6(3) + 4(2) = 34\\18+8=34\\26\neq 34$

Putting in Equation 2:

$5(3) - 2(2) = 15\\15-4 = 15\\11\neq 15$

Hence,

(3,4) is only the solution to Equation 1.

(4, 2.5) is the solution to both equations

(5,5) is the solution to Equation 2

(3,2) is not the solution to any equation.

b. Is it possible to have more than one (x, y) pair that is a solution to both

equations?

The simultaneous linear equations' solution is the point on which the lines intersect. Two lines can intersect only on one point. So a linear system cannot have more than one point as a solution

So,

a. (3,4) is only the solution to Equation 1.

(4, 2.5) is the solution to both equations

(5,5) is the solution to Equation 2

(3,2) is not the solution to any equation.

b. No, it is not possible to have more than one (x,y) pair that is solution to both equations

Keywords: Linear equations, Ordered pairs

Learn more about linear equations at:

#LearnwithBrainly

8 0

3 years ago