Solve the following equations (Show your work)
F) 2/x-3=4

G 7/2x+5=2/3

H)7/x-9 -5=0

Answer:

3:4

Step-by-step explanation:

Given:

Small bottle volume = 120 mL

Big bottle volume = 160 mL

Find:

Ratio of small bottle to big bottles volume

Computation:

Ratio of small bottle to big bottles volume = 120 / 160

Ratio of small bottle to big bottles volume = 3/4

Ratio of small bottle to big bottles volume = 3:4

Option "C" is correct.

Answer:

The answer is C.

Step-by-step explanation:

Answer:

k = -5

Step-by-step explanation:

Answer:

2.458

Step-by-step explanation:

Answer:

2.458

Step-by-step explanation:

It’s basically Place Values, 2 is in the ones, 4 is in the tenths, 5 is in the hundredths and 8 is in the thousandths.

Answer:

the answer isss 62 cm .........

Answer:

160

Step-by-step explanation:

PEMDAS

parenthesis go first 24+3= 27

there are no exponents but their is multiplication 27 times 6 is 162 their is no (D)Division (A)Addition but their is (S) Subtraction 162 minus 2 is 160

Answer:

x = -1, and y = -2, giving you the answer (-1, -2)

Step-by-step explanation:

In the second equation, we're told that y is equal to 2x.  With that, we can replace "y" in the first one with "2x", giving us:

-4x - 2x = 6

-6x = 6

x = -1

Now that we know the value of x, we can simply plug it into the first equation to find y:

-4x - y = 6

-4(-1) - y = 6

4 - y = 6

-4 + y = -6

y = -6 + 4

y = -2

So x = -1, and y = -2

Answer:

V≈43.98

Step-by-step explanation:

V=πr2h=π·22·3.5≈43.9823

Answer:

option D would be your answer

Step-by-step explanation:

[tex]y=\frac{-1}{2}[/tex]

Answer:

its -1/2 the last option

Step-by-step explanation:

Answer:

f(-2) = 28

Step-by-step explanation:

Given that,

[tex]f(x) = - 3x^3 -x^2 +8[/tex]

We need to find the value of f(-2). Put x = -2 in the given function. SO,

[tex]f(-2) = - 3(-2)^3 -(-2)^2 +8\\\\=24-4+8\\\\=28[/tex]

So, the value of f(-2) is equal to 28.

Answer:

Number of students in each van = 18

Number of students in each bus = 53

Step-by-step explanation:

Given: The senior class at High School A rented and filled 2 vans  and 7 buses with 407 students.

High School B rented and filled 1 van and 7 buses with  389 students.

Also, every van and the van had the same number of students in it.

Solution:

Let x denotes number of students in each van and y denotes number of students in each bus.

According to the given information,

From (ii), put  in (i)

Put  in

Number of students in each van = 18

Number of students in each bus = 53

Please give brainliest.

Answer:

16a - 6b + 6

Step-by-step explanation:

5a + 5b - 5 + 11a - 11b + 11 = 5a + 11a + 5b - 11b - 5 + 11 = 16a - 6b + 6

Answer:

$3

Step-by-step explanation:

Given data

Let the cost of drinks be x

and the cost of hotdogs be y

so

3x+4y=15-------1

also

3x+y= 10.5------2

solve 1 and 2

 3x+4y=15

-3x+y= 10.5

     3y= 4.5

divide both sides by 3

y= 4.5/3

y= $1.5

Put y= 1.5 in 1

3x+4(1.5)=15

3x+6= 15

3x=15-6

3x= 9

x= 9/3

x= $3

Hence the cost of a drink is $3

Answer:

B stands for base

Step-by-step explanation:

The B stands for the base of the shape.

Answer:

-3/1 and -2/1

Step-by-step explanation:

Answer:

x>-5

Step-by-step explanation:

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Let's solve your inequality step-by-step.

3 ≤ 7 + g

Step 1:Simplify both sides of the inequality.

3 ≤ g + 7

Step 2: Flip the equation.

g + 7 ≥ 3

Step 3: Subtract 7 from both sides.

g + 7 − 7 ≥ 3 − 7

g ≥ −4

Answer:

g ≥ −4

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

-4 ≤ g is an answer for this.

Answer:

4*4*4, 64, 8^2, 2^6

Step-by-step explanation:

4^3=4*4*4

=64

4^3=2^(2*3)=2^6

=8^2

Answer:

2 1/2

Step-by-step explanation:

When multiplying fractions, you multiply the numerators together and the denominators together.

4 • 5/8

Multiply 4 and 5.

20/8

You can simplify this by dividing both parts by 4

5/2

5/2 is also 2.5

2.5 written as a mixed number is 2 1/2.

This is your answer.

Hope this helps!

Answer:

0.1, -0.2, -0.5

Step-by-step explanation:

answer:

i have a feeling this might not be fully right but i got the answer of 4700 feet-

step-by-step explanation:

8 * 11.75 = 94

8 * 6.25 = 50

then you need to do L x W

94 * 50

which gave me the answer of 4700 feet

i hope this helps you! :)

Answer:

(13/2, 13/2)

Step-by-step explanation:

Answer:

12 a x^ 2 -15 a b-16 a

Answer:

x= 226/3 or 75.33333333333333333333333333333

Step-by-step explanation:

14y+82=6x-20

y=25

Sub y=25 into 14y+82=6x-20

14y+82=6x-20

14(25)+82=6x-20

Calculate as follows:

14(25)+82=6x-20

350+82=6x-20

432=6x-20

Add twenty to both sides:

432+20=6x-20+20

452=6x-0

452=6x

Divide both sides by 6

452=6x

452/6=6x/6

452/6=x

x= 226/3 or 75.33333333333333333333333333333

Answer:

Part A

The population for the first four years are;

Year 1; 26,000,000,

Year 2; 22,100,000

Year 3;  18,785,000

Year 4; 15,967,250

Part B

i)The third year

ii) Provision of spawning environment and the reduction of predators

Part C

The population after 10 years is approximately  139,208,436

Step-by-step explanation:

Part A

The given parameters are;

The rate at which the population is decreasing = 15%

The population of the walleye at the beginning of the current year, P = 26 million

Therefore, we have;

The population of subsequent year = 0.85 × The population of the current year

Therefore, we have a geometric series, with a first term, a = 26 million, and a common ratio, r = 0.85, given as follows;

aₙ = a + ar + ar² + ...

Therefore the first 4 years using 26 million as the first term are;

a₁ = 26 × 10⁶  

a₂ = 26 × 10⁶ × 0.85 = 22,100,000

a₃ = 26 × 10⁶ × 0.85² = 18,785,000

a₄ = 26 × 10⁶ × 0.85³ = 15,967,250

The population for the first four years are;

26,000,000, 22,100,000, 18,785,000, 15,967,250

Part B

i) Given that the walleye population are considered to be in rehabilitation state when they are between 15 and 20 million, we have;

The population in the third year = 18,750,000 < 20,000,000

Therefore, the population enters rehabilitation state in the 3rd year

ii) Other intervention method includes provision of a adequate environment for spawning and the removal of predators

Part C

The formula for the sum of the geometric progression is presented as follows;

[tex]S_n = \dfrac{a^1 - a^1 \cdot (1 + r)^n}{1 - (1 + r)}[/tex]

Therefore, we have;

[tex]S_n = \dfrac{26 - 26 \cdot (1 - 0.15)^{10}}{1 - (1 - 0.15)} = 139.208436581[/tex]

The population after 10 years, Sₙ = 139.208436581 × 10⁶ ≈ 139,208,436

Answer: 7(b-1)^2-63

Step-by-step explanation:

Factor out 7

7(b^2-2b-8)

Add and subtract (-1)^2:

7(b^2-2b-8+(-1)^2-(-1\)^2)

Complete the square:

7((b-1)^2-8-(-1)^2)

Simplify:

7(b-1)^2-63