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3 years ago

A system of equations is given below.

1 answer:

5 0

First, solve the given system of linear equations.

Second, multiply the first equation by 4 (which was an arbitrary choice). Add your result to the 2nd equation.

You should now have the following:

First equation: No change: <span>2x + 7y = 1

Second equation: 4(</span><span>-3x – 4y = 5) = -12x -16y = 20

Solve this new system of linear equations. Do you (or do you not) obtain the same solution as your earlier one?</span>

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What is the value of x in the diagram

Rufina [12.5K]

Answer:

B. 6.2

Step-by-step explanation:

$5(5 + x) = 4(4 + 10) \\ \\ 25 + 5x = 4(14) \\ \\ 25 + 5x = 56 \\ \\ 5x = 56 - 25 \\ \\ 5x = 31 \\ \\ x = \frac{31}{5} \\ \\ x = 6.2$

6 0

2 years ago

Seventy concert tickets are sold for 550$.Each adult ticket cost 9$ and each children’s ticket cost 5$.Find the number of adult

Afina-wow [57]

50 adult tickets and 20 children tickets were sold for the concert.

Step-by-step explanation:

Given,

Number of concert tickets sold = 70

Revenue generated = $550

Cost of each adult ticket = $9

Cost of each child ticket = $5

Let,

x be the number of adult tickets sold

y be the number of child tickets sold

According to given statement;

x+y=70 Eqn 1

9x+5y=550 Eqn 2

Multiplying Eqn 1 by 5

$5(x+y=70)\\5x+5y=350\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(9x+5y)-(5x+5y)=550-350\\9x+5y-5x-5y=200\\4x=200$

Dividing both sides by 4

$\frac{4x}{4}=\frac{200}{4}\\x=50$

Putting x=50 in Eqn 1

$50+y=70\\y=70-50\\y=20$

50 adult tickets and 20 children tickets were sold for the concert.

Keywords: linear equation, elimination method

Learn more about linear equations at:

#LearnwithBrainly

4 0

3 years ago

A group of tourists went downstream a river and are supposed to return in 3 hours. How far can the tourists travel down the rive

Olenka [21]

D=vt

So they will travel downstream and upstream the same distance. Downstream they will travel:

d=(2+18)t1

Upstream they will travel:

u=(18-2)t2

Since d=u we can say:

20t1=16t2

We are told the trip lasts 3 hours so t1+t2=3, t2=3-t1, using this in the equation above we have:

20t1=16(3-t1)

20t1=48-16t1

36t1=48

t1=4/3 hours, and from earlier we saw that d=20t1 so:

d=20*4/3

d=80/3 miles

d=26 2/3 miles.

6 0

3 years ago

Water in the pool decree by 4 inches so what is the change of 6 weeks

zmey [24]

The figure below shows a triangular wooden frame ABC. The side AD of the frame has rotted and needs to be replaced:

Triangle ABC has length of BC equal to 10 inches. A line segment DC joins the point D on AB with point C. Measure of angle ABC is 90 degrees, ACD is 15 degrees and measure of angle DCB is 30 degrees.

What is the length of the wood that is needed to replace AD?

3 0

3 years ago

Please somebody help me with this problem!!! I’m having a brain-freeze

lubasha [3.4K]

Answer:

53.52°

Step-by-step explanation:

The cosine function relates the angle to the sides shown:

Cos = Adjacent/Hypotenuse

cos(x°) = (22 ft)/(37 ft) = 22/37

The inverse cosine function is used to find the corresponding angle.

x° = arccos(22/37) ≈ 53.52°

3 0

3 years ago