Solve the equation for x. –1/2x – 3 = 4

Given :

In the early spring, the trout at Big Blue Lake swim at a depth of 30 feet below sea level.

When the lake warms up in the summer, the trout swim 20 feet deeper than that , d = 20 feet .

To Find :

At what position relative to sea level do the trout swim in the summer.

Solution :

Depth in spring from surface , [tex]D_s=30\ feet[/tex] .

Let , depth in summer is D .

Now , depth in summer relative to sea-level is :

[tex]D=D_s+d\\\\D=30+20\ feet\\\\D=50\ feet[/tex]

Therefore , trout swim 50 feet deep below the sea level in the summer .

Hence , this is the required solution .

Answer:

-50

Step-by-step explanation:

bcuz it is

Answer:

h= -28

Step-by-step explanation:

h+14=-14 isolate h by subtracting 14 on both sides

h= -28

Answer:

h=-28

Step-by-step explanation:

k byeeeeeeeeeeeeee:)

Answer:

z=7

Step-by-step explanation:

8(z-5)=16

Divide by 8

8/8(z-5)=16/8

z-5 = 2

Add 5 to each side

z-5+5 = 2+5

z = 7

Answer:

z = 7

Step-by-step explanation:

Expand 8 ( z - 5 ) = 16 first.

8z - 40 = 16

Move 40 to the other side.

8z = 40 + 16

8z = 56

z = 7

Answer:

9 sheeps.

Step-by-step explanation:

Note the usage of words.

If you remove "but nine", you will be left with "all... die", which means that he will have 0 sheep. However, the usage of 9 implies that there are some remaining; The number attached suggest the amount left.

9 sheep are left.

~

Answer:

9

Step-by-step explanation:

Answer: C. Point M

Step-by-step explanation:

Answer:

5/8

Step-by-step explanation:

The answer is 5/8 because 1/8 is equivalent to 0.125, so just multiply 0.125 with 5. Then, you will get 0.625 as you answer.

Hope this helps!

Answer:

Let's write two linear equations:

For the Xbox, we have:

Price per console (you pay it only once) = $150.

Price per game = $24

Then, the total price if you buy x games, you have:

P1(x) = $150 + $24*x

For the Playstation we have:

Price per console (again yo pay it only once) = $180

Price per game = $20

So if you buy x games, the total price is:

P2(x) = $180 + $20*x.

Now, we can find the number x such that both prices are equal

P1(x) = P2(x)

$150 + $24*x =  $180 + $20*x.

let's solve this for x.

$24*x - $20*x = $180 - $150

$4*x = $30

x = $30/$4 = 7.5

What does this mean?

If you buy less than 7.5 games (7 or less) then the Xbox will be cheaper, because the y-intercept is smaller.

If you buy more than 7.5 games (8 or more) then the Playstation will be cheaper, because the price per game is smaller.

Answer: she would need four and a half cups more of sugar.

Step-by-step explanation:

You have to add together all of them sugar she would have needed so (1 1/4 times 4) and then subtract what she already had and that gives you 4 and 1/2 cups she would need. Hope this helps

Answer: 4 and 1/2

Step-by-step explanation:

You add together all of the sugar that she would have needed which is 1 1/4 * 4 and then subtract what she already had before which would give you 4 and 1/2 cups she would need.

Answer:

0,0

Step-by-step explanation:

The function set is empty

The ordered pair in options B and D does not  represents the  function.

The sets of ordered pairs {(1, 1) (2, 2) (3, 3) (4,4) (5,5)}, {(2, 1) (4, 2) (6, 3) (8, 1) (10, 2)}, {(0, 0) (2, 3) (3,6) (2.9) (6, 12)} and {(1,5) (2, 4) (3, 3) (4,2) (5, 1)}.

A function is defined as a relation between a set of inputs having one output each.

For the given ordered pairs graphs are plotted below.

A) The ordered pair {(1, 1) (2, 2) (3, 3) (4,4) (5,5)} represents the linear function.

B) The ordered pair {(2, 1) (4, 2) (6, 3) (8, 1) (10, 2)} does not represents the  function.

C) The ordered pair {(0, 0) (2, 3) (3, 6) (2, 9) (6, 12)} does not represents the function.

D) The ordered pair {(1,5) (2, 4) (3, 3) (4,2) (5, 1)} represents the linear function.

Therefore, the ordered pair in options B and D does not  represents the  function.

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A signed number to represent a given population change is -43,000.

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.

Since the population of a certain city decreased by 43,000 people.

The negative sign indicates that the population decreased, which means there was a decrease in the quantity of 43,000 people.

Thus, we can population change is shown by -43,000.

Hence, a signed number to represent this population change is -43,000.

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Answer:

x = 3 , y = 1

Step-by-step explanation:

Solve the following system:

{y = x - 2 | (equation 1)

y = 7 - 2 x | (equation 2)

Express the system in standard form:

{-x + y = -2 | (equation 1)

2 x + y = 7 | (equation 2)

Swap equation 1 with equation 2:

{2 x + y = 7 | (equation 1)

-x + y = -2 | (equation 2)

Add 1/2 × (equation 1) to equation 2:

{2 x + y = 7 | (equation 1)

0 x+(3 y)/2 = 3/2 | (equation 2)

Multiply equation 2 by 2/3:

{2 x + y = 7 | (equation 1)

0 x+y = 1 | (equation 2)

Subtract equation 2 from equation 1:

{2 x+0 y = 6 | (equation 1)

0 x+y = 1 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 3 | (equation 1)

0 x+y = 1 | (equation 2)

Collect results:

Answer: {x = 3 , y = 1

[tex]\huge\boxed{\boxed{\bold{(3, 1)}}}[/tex]

[tex]\hrulefill[/tex]

I'm assuming you need to find the solution to this system of equations (where the lines intersect).

We can use the substitution method to solve this system. Take the value of [tex]y[/tex] from the second equation and substitute it into the first:

[tex]-2x+7=x-2[/tex]

Add [tex]2x[/tex] to both sides of the new equation:

[tex]7=3x-2[/tex]

Now add [tex]2[/tex] to both sides of the equation:

[tex]9=3x[/tex]

Divide both sides by [tex]3[/tex]:

[tex]\boxed{3}=x[/tex]

Now let's solve for [tex]y[/tex] by substituting the known value of [tex]x[/tex] into the first equation:

[tex]y=3-2[/tex]

Simplify using subtraction:

[tex]y=\boxed{1}[/tex]

This means our solution is:

[tex]\large\boxed{(3, 1)}[/tex]

Answer:

-2.4

Step-by-step explanation:

distribute the -4 and -2

add 12p to both sides

subtract 12 from both sides

divide

Answer:

(i) 2197

Step-by-step explanation:

(i) 13^3

=  (10+3)^3

=  10^3 + 3^3 + 3(10)(3) (10+3)

=  1000 + 27 + 90(13)

=  1027 + 1170

= 2197

Answer:

Vertical Angles

Step-by-step explanation:

Vertical Angles are the angles opposite each other when two lines cross.

It is found that angle 2 and angle 1 are vertically opposite angles.

The vertically opposite angles are those angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.

Thus, Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.

Also, When you slice a given object vertically (perpendicular to the ground level), then the sliced surface is called vertical cross section.

WE have to Classity 2 and 1 using all relationships that apply.

Therefore, we can see that angle 2 and angle 1 are vertically opposite angles.

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The required simplified value of the expression is 6.

Given that,
An expression is given 4+(9x2)÷(4-1)-4,
To simplify the given expression.

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

In mathematics, it deals with numbers of operations according to the statements.

⇒ simplification
= 4+(9x2)÷(4-1)-4
Step 1 applies to the multiply and subtraction operation in the parenthesis.|
= 4 + (18) ÷ (3) - 4
Step 2 following the PEMDAS rule division of 18 by 3,
= 4 + 6 - 4
Step 3 association of termes,
= 6

Thus, the required simplified value of the expression is 6.

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Answer:

x = 0

Step-by-step explanation:

9(2x+1) < 9x - 18

Distribute the 9 through

18x + 9 < 9x - 18

Get like terms on the same sides

9x < -27

Divide both sides by the value in front of the x

x < -3

Hope this helps! :)

Answer:

D) 2a-6

Step-by-step explanation:

Graham sold 6 less = -6

Than double what Adriania sold. = 2a

2a - 6

Answer:

1/8

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

There are 4 cards. Each one is a different number.

Only one card is a 9.

p(9) = 1/4 = 0.25 = 25%

Answer:

13

Step-by-step explanation:

time=distance÷speed

time= 650÷50

Answer:

Amanda read 4 for than Melissa.

Step-by-step explanation:

Amanda read 20 and Melissa read 16. 20-16=4.

Answer:

5 x 4 – 4 x 4; Amanda read 4 more books than Melissa

Step-by-step explanation:

"How many more" means to subtract the products, not add them. Also, do the multiplication first before you subtract.

ANSWER: (12,11), (x,y)

12 steps to the right on the x-axismaking the value a plus, and 11 steps up on the y axis making the numeral positive as well.

Answer:

reflexive

Step-by-step explanation:

memorize it as the equal sign is a mirror that reflects so its the same!

Answer:

23 percent

Step-by-step explanation:

The percentage of females who are freshmen or sophomores will be 50%.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.

The frequency table shows the distribution of 1,200 students at a high school.

The frequency table is given below.

Then the percentage of females who are freshmen or sophomores will be

P = (134 + 162) / 592 x 100

P = 296 / 592 x 100

P = 0.5 x 100

P = 50%

Thus, the correct option is B.

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