You are given two algebraic equations, y = 3x, and 2y = x + 20. Solve for x and y.

Answe

Step-by-step explanation:

Answer: C :79.5

Step-by-step explanation:

Since both triangles are congruent the angles are also congruent. P the measure we are trying to find is congruent to M since they’re equal it should look like this

5x-19 = 3x+20.4

5x = 3x+ 39.4

2x = 39.4

X= 19.7

to find the measure of angle P plug in X to its equation so

3x + 20.4

3 (19.7) + 20.4

= 79.5

Answer:

10

Step-by-step explanation:

lol

...its 10

Step-by-step explanation:

1+1+1+1+1= 5

1+1+1+1+1= 5

5+5=10

Answer:

Step-by-step explanation:

Given sequence:  

The first term is -1 and the common difference is -3

19th term is:

Answer:

The polynomial simplifies to a quadratic with a degree of 2

Step-by-step explanation:

Expand and simplify everything

-5x²-2x+4+8x²-x-1-x²+5x-2x+10

-5x²+8x²-x²-2x-x+5x-2x+4-1+10

2x²+13

Answer:

B. x = -6

Step-by-step explanation:

A line with the equation, y = ¼, is a horizontal line. Therefore, the line that is perpendicular to it would be a vertical line, which can be represented by the equation, x = a. Where, a is the x-value or the point where the vertical line intersects the x-axis. This x-coordinate remains the same for every point on the vertical line.

Thus, since the perpendicular line passes through (-6, -9), therefore, the value of a = -6.

Thus, the equation of the perpendicular line would be:

x = -6

Answer:

W = 4

Step-by-step explanation:

4/6 = 6/9

2/3 = 2/3  

Answer:

Step-by-step explanation: i got it right :) hopefully you get it in time!

How do you calculate run time and speed?

32 min * 8 min per mi = 4 miles How to calculate run time. Multiply your pace by your distance; If the pace is 9.5 minutes per mile and you run 3 miles: 9.5 min per mi × 3 mi = 28.5 minutes = 28 minutes, 30 seconds How to calculate running speed. Divide your run distance by your run time.

What do you do to calculate average speed?

Learn more about average speed here https://brainly.com/question/5147964

#SPJ2

Answer:

13

Step-by-step explanation:

The term is in an arithmetic progression.

That means there is 6 between each term and the next one.

Givens

a = -30

d = 6

last term an = 42

Formula

L = a + (n - 1)*d

Solution

42 = -30 + (n -1 )*6               Add 30 to both sides

42+30 = (n - 1) * 6                Combine the terms on the left.

72 = (n - 1)*6                        Divide both sides by 6

72/6 = n - 1

12     = n - 1                          Add 1 to both sides

12 + 1 = n

n = 13

Answer:

The equation of the line is y = 3x - 11.

Step-by-step explanation:

We are given the equation of a line:

[tex]\bullet \ \ \ y = 3x -2[/tex]

We are also given a point at which the line passes through.

[tex]\bullet \ \ \ (4, 1)[/tex]

With parallel lines, it is important to note:

We can use the point-slope equation to find the equation of the line:

[tex]\displaystyle y-y_1 =m(x-x_1)\\\\y - 1 = 3(x - 4)\\\\y - 1 = 3x - 12\\\\y - 1 + 1 = 3x - 12 + 1\\\\y = 3x - 11[/tex]

Therefore, the line that is parallel to y = 3x - 2 and passes through the point (4, 1) is y = 3x - 11.

Answer:

1360.78 mg

Step-by-step explanation:

3 pounds in grams is 1360.78 grams.

so, 1 mg per gram would mean the baby should recieve 1360.78 mg of the drug.

Answer:

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Step-by-step explanation:

Answer:

0.057

0.6140

0.3158

0.0701

Step-by-step explanation:

Given that:

Let :

P(L) = Number transported by land = half = 50% = 0.5

P(S) = number transported by sea = 30% = 0.3

P(A) = Number transported by air = (100 - (50 + 30))% = 20% = 0.2

P(H) = highway transport = 40% of land transport = 0.4 * 0.5 = 0.2

P(R) = Rail shipment =(100- 40)% = 60% of land transport = 0.6 * 0.5 = 0.3

Percentage of damaged cargo :

Let probability of damage = P(d)

P(d | H) = 0.1

P(d | R) = 0.05

P(d | S) = 0.06

P(d | A) = 0.02

1) What percentage of all cargoes may be expected to be damaged

[P(d | H)*p(H)] + [P(d | R)*p(R)] + [P(d | S)*p(S)] + [P(d | A)*p(A)]

(0.1*0.2) + (0.05*0.3) + (0.06*0.3) + (0.02*0.2) = 0.057

(2) If a damaged cargo is received, what is the probability that it was shipped by ;

land?

([P(d | H)*p(H)] + [P(d | R)*p(R)]) / [P(d | H)*p(H)] + [P(d | R)*p(R)] + [P(d | S)*p(S)] + [P(d | A)*p(A)]

((0.1*0.2) + (0.05*0.3)) / (0.1*0.2) + (0.05*0.3) + (0.06*0.3) + (0.02*0.2)

= 0.035 / 0.057

= 0.6140

By sea?

[P(d | S)*p(S)] / [P(d | H)*p(H)] + [P(d | R)*p(R)] + [P(d | S)*p(S)] + [P(d | A)*p(A)]

(0.06 * 0.3) / 0.057

= 0.3158

By air?

[P(d | A)*p(A)] / [P(d | H)*p(H)] + [P(d | R)*p(R)] + [P(d | S)*p(S)] + [P(d | A)*p(A)]

(0.02 * 0.2) / 0.057

= 0.0701

Hello there!

85 is composite.

There are 3 ways of determining whether a number is prime or composite.

Hope this helps!

[tex]GraceRosalia[/tex]

Answer:

y = [tex]\frac{5}{26}[/tex]

Step-by-step explanation:

[tex]5y + \frac{1}{5}y - 25 * \frac{1}{25} = 0[/tex]

Simplify, remember the order of operarions;

1. Parentehsis

2. Exponents

3. Multiplication/division

4. Addition/subtraction

[tex]5y + \frac{1}{5}y - 25 * \frac{1}{25} = 0[/tex]

[tex]5y + \frac{1}{5}y - 1 = 0[/tex]

[tex]5y +0.2y - 1 = 0[/tex]

[tex]5.2y -1 =0[/tex]

Inverse operations;

[tex]5.2y -1 =0[/tex]

        +1     +1

5.2y = 1

/5.2    /5.2

y = [tex]\frac{5}{26}[/tex]

Answer:

200 pounds per crate

Step-by-step explanation:

because if you divide 1600 by 8 than you get 200 pounds. then that is you unit rate

Answer:

250

2000 divided by 8

Step-by-step explanation:

Answer:

So first look at the symbol. It must be less than or equal to 17.

By elimination A is 20.5 which is wrong

B is -16.5 by abs =16.5

C is -17.5 by abs = 17.5

D is 12.5

So B and D are possible solutions..

Answer:

56.7

Step-by-step explanation:

Just Add all numbers

Answer:

45

Step-by-step explanation:

Let the three quantities be x, y and z.

[tex] \because \: average = \frac{sum \: of \: quantities}{no \: of \: quantities} \\ \\ \therefore \: 15 = \frac{x + y + z}{3} \\ \\ 15 \times 3 = x + y + z \\ \\ \huge \purple{ 45 = x + y + z}[/tex]

Answer:

secondary

Step-by-step explanation:

Answer:B; 4.35 • 10/4

Step-by-step explanation:

answer is 10

if not then im srry

Answer:

subtract 2-6 and the just put a - in front of 4 so -4

Step-by-step explanation:

Answer:

-2 will be 2 times to the left of zero and -6 would be 6 spaces to the left of zero.

Answer:

It's volume

Volume = πr²h

[tex] \tt \: volume = \dfrac{22}{7} \times 3 {}^{2} \times 8[/tex]

[tex] \tt volume \: = \frac{22}{7} \times 9 \times 8[/tex]

[tex] \tt \: volume = \dfrac{22}{7} \times 72[/tex]

[tex] \tt \: volume \approx \: 226.194[/tex]

Answer:

given. require. solution

r=3. v=? v=πr²h

h=8. v=3.14×3²×8

3.14×9×8

=226.08

Step-by-step explanation:

multiply all the fractions together in your calculator :)