What is the value of y in the solution to the following system of equations?
2x + y = -4
5x + 3y = -6

9514 1404 393

Answer:

  123.6 m²

Step-by-step explanation:

The area is given by the formula ...

  A = (AB)(AD)sin(∠A)

  A = (7 m)(20 m)sin(62°) ≈ 123.6 m²

Answer:

7 hours

Step-by-step explanation:

Answer:

G(x) = 18

Step-by-step explanation:

first you add x on both sides (-7+x=11)

then you add 7 on both sides and end up with (x=18)

Answer:

7

Step-by-step explanation:

the median is the middle and if you order them

4,5,6,8,8,9 then you remove one from each side until you have 6,8 so you go in-between the two (seven)

Answer:

7

Step-by-step explanation:

You need to arrange the numbers in an increasing order:

4 5 6 8 8 9

then you need to count how many values we have in the specific set:

6 total values

now we need to find the middle of our set

4 5 6 II 8 8 9

and then we divide the two numbers next to the middle part (6;8) and divide them by 2

(6+8):2=7

Answer:

Step-by-step explanation:

1/3 - 1/6

2/6 -1/6= 1/6

find common denominator

For  [tex]\dfrac{1}{3}-\dfrac{1}{6}[/tex]  the fraction will be [tex]\dfrac{1}{6}[/tex] .

Given to us,

[tex]\dfrac{1}{3}-\dfrac{1}{6}[/tex]

To solve this, firstly we need to make the denominators the same, thus taking the LCM of both 3 and 6.

As we know the LCM of 3 and 6 is 6 itself.

So, multiplying and dividing by 2.

[tex]\dfrac{1}{3}\rightarrow \dfrac{1\times 2}{3\times 2}\rightarrow \dfrac{2}{6}[/tex]

Now,

[tex]\dfrac{2}{6}-\dfrac{1}{6} = \dfrac{1}{6}[/tex]

Hence, for  [tex]\dfrac{1}{3}-\dfrac{1}{6}[/tex]  the fraction will be [tex]\dfrac{1}{6}[/tex] .

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https://brainly.com/question/1301963

Answer:

elevation refers to the height of the balloon. Descent refers to moving down, and rate of descent refers to how quickly the balloon moved down.

  In this case, we have a descent of 2,125 feet (initial height of 5,439 - ending height of 3,314). Since it took 34 minutes for the balloon to descend this distance, we divide the descent by the time (2,125/34). This gives us a rate of 62.5 feet per minute.

  That means that the balloon traveled downward 62.5 feet every minute. That's a fast moving balloon!

Step-by-step explanation:

hopefully this helps

Answer:

3. < ACB=<DCE

Step-by-step explanation:

Both are vertical angles & they are equal

Answer:

Blank 1: 28

Blank 2: 42

Blank 3: 22

Answer: It will take 7 sessions.

Step-by-step explanation:

We already know the 3 blanks from the equation 28x = 42 + 22x

Now to find the answer.

28x = 42 + 22x

Subtract 22x from both sides. This cancels the +22x.

28x - 22x = 42

Subtract 22x from 28x to get 6x

6x = 42

Divide both sides by 6. This undoes the multiplication by 6.

x = 42/6

Divide 42 by 6 to get 7.

x = 7

It will take 7 sessions for the costs to match.

Answer:

[28], [42], [22], the meet at 154 sessions

Step-by-step explanation:

Answer:

Simplifying the expression [tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex] so, there is only one power of each base we get [tex]\mathbf{3^3\:.\:2^2}[/tex]

Option D is correct answer.

Step-by-step explanation:

We need to simply the expression [tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex] so, there is only one power of each base.

Solving:

[tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex]

We can write it as:

[tex]\frac{(3\:.\:2)^5}{3^2.2^3}[/tex]

Now using exponent rule: [tex](a\:.\:b)^m=a^m\:.\:b^n[/tex]

[tex]\frac{3^5\:.\:2^5}{3^2.2^3}[/tex]

Now using the exponent rule: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex] the bases should be same

[tex]3^{5-2}\:.\:2^{5-3}\\=3^3\:.\:2^2[/tex]

So, simplifying the expression [tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex] so, there is only one power of each base we get [tex]\mathbf{3^3\:.\:2^2}[/tex]

Option D is correct answer.

Answer: 24

Step-by-step explanation: thanks

Answer:

Here you go! Hope it helps!

Step-by-step explanation:

Answer:

1) m= 12/7

2) k= -  81/16

Answer:

1. 1 5/7

2. -5 1/16

Step-by-step explanation:

1. Solve for M by simplifying both sides of the equation then isolationg the variable.

2. Solve for K by simplifying both sides of the equation then isolationg the variable.

Answer:

80

Step-by-step explanation:Solution:

step 1 Address the formula, input parameters & values.

Input parameters & values:

The given numbers are 78 & 80

step 2 Find the sum of the given two numbers.

sum = 78 + 80 = 158

step 3 Divide the sum by 2 to get the average.

average = 158/2

= 79

Thus, 79 is an average of positive integers 78 and 80.

Answer:

-3/5x

Step-by-step explanation:

It is a negative slope and use rise over run

Answer:

(1-1)+(5×2)

hope this helps you

Answer:

area of circle = 78.55 cm²

Step-by-step explanation:

area of circle

= πr²

= 3.142 × 5²

= 3.142 × 25

= 78.55 cm²

Answer:

x = 3

Step-by-step explanation:

If you move -2 to the right side of the equation, you get:

4x = 12

Divide both sides by 4, and you get:

x = 3.

Answer: yes

Step-by-step explanation:

when you simplify 18/24 goes to 3/4 and 15/20 simplifies to 3/4 as well so they are equivalent

ok b makes more sense

Step-by-step explanation:

Answer:

250

Step-by-step explanation:

40%= 100

10%=25

100%= 250

Answer:

250

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Answer:

Rhombus

Step-by-step explanation:

It does not have congruent diagonals

Answer:

a is the answer hope it helps

Answer:

128x + 288

Step-by-step explanation:

Given the expression 2^5(4×+9)

on factoring

2^5(4×+9) = 2^5(4x) + 2^5(9)

2^5(4×+9) = 32(4x) + 32(9)

2^5(4×+9) = 128x + 288

Hence the expression is also equivalent to 128x + 288