Please solve (18 points)

Answer: (2, -1), or x = 2 and y = -1

By graphing:

   We can solve by graphing. See attached.

-> The solution is the point of intersection. The lines intersect at (2, -1) which means x is equal to 2 and y is equal to -1.

By substituting:

   We can solve this by substituting. It means we will substitute one equation into the other, then solve for the variables.

3x - 2y = 8

x - 2y = 4​ -> x = 2y + 4

-

3x - 2y = 8

3(2y + 4) - 2y = 8

6y + 12 - 2y = 8

4y = -4

y = -1

-

x - 2y = 4​

x - 2(-1) = 4​

x + 2 = 4

x = 2

Answer:

12.

Step-by-step explanation:

There are 3 * 4 = 12 possible outcomes

for example

Walk / Red

Walk/Green

Walk/Blue

Walk/Orange

- and there are  4 similar outcomes for Run and Stop.

Answer:here the answer

Step-by-step explanation:

....

Answer:

True, (-∞, ∞)         3 ≤ 8

Step-by-step explanation:

−8 + 11 ≤ −3 + 11

3 ≤ 8

Answer:

The price of a hot dog decreases between the third and sixth month:

True

The price of a hot dog increases between the sixth and ninth month:

False

The price of a hot dog increases constantly between the ninth and twelfth month:

True

Hope this helps! If anything is wrong, feel free to comment down below so I can change my answer for future users!

Answer:

21/250

Step-by-step explanation:

Converting percentage to fraction :

Answer:

518

i don't know if this needs much explaining.

Answer:

518 records per row

Step-by-step explanation:

Divide to find out how many are in each row :

The amount of water that is needed to be added to the 12% concentration solution to make it 11% concentrated is 2 ml.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that the alcohol solution of 22 ml has a 12% of concentration. Therefore, the amount of alcohol in the solution is,

12% of 22ml = 2.64ml

Since the amount of alcohol should be the same while the concentration should be diluted, therefore, the amount of alcohol in the final solution can be written as,

[tex]11\%\ of\ x = 2.64{\rm\ ml}\\\\\dfrac{11}{100} \times x = 2.64\\\\x = 24\rm\ ml[/tex]

As the total solution with 12% concentration was 22 ml, while the total solution with 11% concentration was 24 ml.

Hence, the amount of water that is needed to be added to the 12% concentration solution to make it 11% concentrated is 2 ml.

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Answer:

c.9.5

Step-by-step explanation:

im awesome so so very

Answer:

10-12

Step-by-step explanation:

1.5% of 800 is 12

Answer:

37

Step-by-step explanation:

use Pytago ( you can search it online )

Answer:

D is the answer I'm pretty sure

Step-by-step explanation:

6 has to y values

Answer:

Lake Carters, Lake Amistad, Lake Alamo

Step-by-step explanation:

Starting with lake Alamo:

current level: 1,080

Full pool: -48.5

This indicates that the level is currently 48.5 feet below a full pool

Therefore, the level of it as a full pool is 1,080 + 48.5, or 1,128.5 feet

Lake Amistad:

Current Level: 1,038

Full pool: -7.1%

This indicates that the level is currently 7.1% below a full pool

subtract 7.1% from 100%

100-7.1=92.9

Percent formula:

P% * X = Y

P = 92.9

Y = 1038

X = 1038 / 92.9%

X = 1117.33

Full pool = 1117.33

Lake Carters

Current level: 1078

Full pool: + 60/13

This indicates that the level is currently 60/13 above a full pool

60/13 = 4.62

1078 - 4.62 = 1073.38

full pool = 1073.38

So, the order is Lake Carters, Lake Amistad, Lake Alamo

Answer:

first aircraft=189

second aircraft=130

third aircraft=88

Step-by-step explanation:

1st = x+59

2nd = x

3rd= x-42

x + 59 + x + x - 42 = 407

3x + 59- 42 = 407

3x + 17 = 407

3x = 407 - 17

x=390÷3

=130

1st=130+59=189

2nd=130

3rd=130-42=88

Answer:

.3375

Explanation:

Total people who were given drug: 800

Total people who showed improvement: 270

Probability:

[tex]\boxed{ \sf \dfrac{favorable \ outcomes }{total \ possible \ outcomes}}[/tex]

insert values

[tex]\rightarrow \sf \dfrac{270}{800}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{27}{80}[/tex]

in decimals

[tex]\rightarrow \sf 0.3375[/tex]

Answer:

Step-by-step explanation:

let E be the event : “the patient shows improvement”

    D be the event : “the patient was given the drug”

here we are in a conditional probability situation:

Let E/D be the event “a patient shows improvement ,if it is known that the patient was given the drug”

[tex]p\left( E|D\right) =\frac{p\left( E\cap D\right) }{p\left( D\right) }[/tex]

            [tex]=\frac{270}{800}[/tex]

            [tex]=0.3375[/tex]

Answer:

C.) To send to college recruiters

Step-by-step explanation:

The correct answer is C.) because this answer choice has nothing to do with assessing an athlete's performance. All of the other options involve assessing performance in some manner. An athelete's performance is directly tied to their training program, development, and technique.

The value of x will be given as for the given expression X = -1

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division

2x  +  12  =  10

2x  =  10 - 12

2x  =  -2

x    =   -1

first you distribute 2 to x and 6 which equals 2x+12=10 then you subtract 12 from 10 which equals 2x=-2 then divide -2 by 2x to see what x equals so x=-1

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[tex] \frac{5x}{2} + \frac{9}{5} = 25 \\ \frac{25x + 18}{10} = 25 \\ 25x + 18 = 250 \\ \frac{250 - 18}{25} = x \\ x = \frac{232}{25} [/tex]

hope it helps

Please refer to the attachment

Answer:

750

Step-by-step explanation

Answer:

This is false

Step-by-step explanation:

Answer:

|AB| = 240 km

Step-by-step explanation:

Finding ∠C :

⇒ 27° + 66° + ∠C = 180°

⇒ ∠C = 180° - 93°

⇒ ∠C = 87°

Applying the Law of Sines :

⇒ sin 66° / 220 = sin 87° / AB

⇒ 0.913545458 / 220 = 0.998629535 / AB

⇒ AB = 220/0.913545458 x 0.998629535

⇒ AB = 240.819981 x 0.998629535

⇒ AB = 240.489946

⇒ |AB| = 240 km (nearest whole kilometer)

Answer:

|AB| = 240 km (nearest km)

Step-by-step explanation:

Draw a sketch with the given information (attached).

Calculate the missing angle (shown in red on the attached diagram).

Given:

The interior angles of a triangle sum to 180°

⇒ ∠ACB + ∠CAB + ∠CBA = 180°

⇒ ∠ACB + 27° + 66° = 180°

⇒ ∠ACB = 180° - 27° - 66°

⇒ ∠ACB = 87°

Use Sine Rule for sides to calculate |AB|:

[tex]\sf \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

[tex]\implies \sf \dfrac{|AB|}{\sin ACB}=\dfrac{|AC|}{\sin CBA}[/tex]

[tex]\implies \sf \dfrac{|AB|}{\sin (87^{\circ})}=\dfrac{220}{\sin (66^{\circ})}[/tex]

[tex]\implies \sf |AB|=\dfrac{220\:\sin (87^{\circ})}{\sin (66^{\circ})}[/tex]

[tex]\implies \sf |AB|=240.4899459...[/tex]

[tex]\implies \sf |AB|=240\:km\:(nearest\:km)[/tex]

Answer:

x = 50°

Step-by-step explanation:

Let's make 2 equations based on the properties of the triangles :

Applying Exterior Angle Property :

Divide equation 1 by 2 :

⇒ 1/2 (x + 2∠1) = 1/2 x (2∠2)

⇒ x/2 + ∠1 = ∠2

⇒ ∠2 - ∠1 = x/2

Similarly, rewrite equation 2 :

⇒ ∠1 + 25 = ∠2

⇒ ∠2 - ∠1 = 25

From these 2 equations, we get :

⇒ x/2 = 25

⇒ x = 25 × 2

⇒ x = 50°

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's consider the figure with two triangles,

Angle b is divided into two equal parts :

and similarly

Exterior angle C is divided into two equal parts :

Now, according to exterior Angle property :

In Triangle ABC

[tex]\qquad \sf  \dashrightarrow \:2y + x = 2z \: \: \: \: [/tex]

[tex]\qquad \sf  \dashrightarrow \: 2z - 2y = x \: \: \: \: [/tex]

[tex]\qquad \sf  \dashrightarrow \:2(z - y) = x[/tex]

[tex]\qquad \sf  \dashrightarrow \:z - y = \dfrac{x}{2} \: \: \: \: \: \: \: - (1)[/tex]

and in Triangle BDC

[tex]\qquad \sf  \dashrightarrow \:y + 25 = z \: \: \: \: \: \: \: [/tex]

[tex]\qquad \sf  \dashrightarrow \:z - y = 25 \: \: \: \: \: \: \: - (2)[/tex]

equate equation (1) and (2) :

[tex]\qquad \sf  \dashrightarrow \: \dfrac{x}{2} = 25[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}{} = 25 \times 2[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}{} = 50 \degree[/tex]

Answer:

See below ~

Step-by-step explanation:

The perimeter of a figure refers to the sum of the side lengths of its edges.

Figure (a) : Triangle

⇒ P = 2a + 1 + 3a + a - 4

⇒ P = 6a - 3

⇒ P = 3 (2a - 1)

Figure (b) : Hexagon

⇒ P = 3m - 1 + 3n + n + m + 3m + 1 + 4n + m + n + 2

⇒ P = 3m + m + 3m + m + 3n + n + 4n + n + 1 - 1 + 2

⇒ P = 8m + 9n + 2

Figure (c) : Trapezoid

⇒ P = 2a + 3 + 3a - b + 2a + 2b - 4 + b + 4

⇒ P = 2a + 3a + 2a + 2b + b - b + 4 - 4 + 3

⇒ P = 7a + 2b + 3

Answer:

1.

Step-by-step explanation:

1) if sin30=0.5; tan45=1; tan30=1/√3; sin60=√3/2, then

2) 0.5+0.5=1.

Answer:

Soln.

Given that we have proven:AB =CD and BC=DA

we will be said that the A and C is the angle of 90° and we will add the letters to get the results so let's started the A+90°+ 90°+ B+C+ D=90°

A+180°+B+C+D

180°+90°

=270°

By applying aritmethics and concept of capacity we conclude that the bottle containing 2 1/2 cups of apple juice contains 5 servings containing 1/2 cups each.

In this question we are dealing with capacities, capacities are an application of volumes. A bottle contains a capacity equivalent to a given quantity of cups. The number of cups is found by dividing the capacity of a bottle by the capacity of a serving:

[tex]x = \frac{\frac{5}{2}\,cups}{\frac{1}{2}\,cups }[/tex]

x = 5

By applying aritmethics and concept of capacity we conclude that the bottle containing 2 1/2 cups of apple juice contains 5 servings containing 1/2 cups each.

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Answer:

125 mph

Step-by-step explanation:

The river is going 25 mph every 20 minutes

Therefore we can paddle 125 miles at consistent rate.