What is the value of n?

-4n = 696

A)
n = -2,784

B)
n = -174

C)
n = 174

D)
n = 2,784

Answer:

-2

Step-by-step explanation:

-3x -2 = 2x +8

-2 = 5x +8 . . . . . . add 3x

-10 = 5x . . . . . . . . subtract 8

-2 = x . . . . . . . . . . divide by 5

Answer:

-2

Step-by-step explanation:

-3x-2=2x+8 subtract 2x to both sides

-5x-2=8 add 2 to both sides

-5x=10 divide by -5

answer is -2

Answer:

[tex]\dfrac{20}{7}\ \text{units}[/tex]

Step-by-step explanation:

Put the side length where x is, then do the arithmetic.

  P = 4x

  P = 4(5/7) = 20/7

The perimeter is 20/7 units.

Answer:

The equation can be used to find the amount of time Hiroshi spends on his math homework is 1/4 (30 + 60 + x) = x ⇒ answer a

Step-by-step explanation:

* Lets read the problem and take the information to solve the problem

- Hiroshi spends 30 minutes on history homework

- Hiroshi spends 60 minutes on English homework

- Hiroshi spends  x minutes on math homework

* From these information

- The total homework time is (30 + 60 + x) minutes

- Hiroshi spends one fourth of his total homework time on math

- The time of math homework is 1/4 the total homework time

∵ The total homework time = (30 + 60 + x)

∵ The time of math homework is 1/4 the total homework time

∴ The time of math homework = 1/4 (30 + 60 + x)

- Then equate the times of math homework

∵ Hiroshi spends  x minutes on math homework

∵ The time of math homework = 1/4 (30 + 60 + x)

∴ 1/4 (30 + 60 + x) = x

* The equation can be used to find the amount of time Hiroshi

  spends on his math homework is 1/4 (30 + 60 + x) = x

Answer:

: ) It be gud song.

Step-by-step explanation:

For this case we have that the fractions have the same denominator, then we can rewrite as:

[tex]\frac {3x + 2 + (2x -5)} {x-1} =[/tex]

We eliminate the parenthesis:

[tex]+*+=+[/tex]

[tex]+*-=-[/tex]

[tex]\frac {3x + 2 + 2x - 5} {x-1} =[/tex]

We add common terms of the numerator:

[tex]\frac {5x-3} {x-1}[/tex]

Thus, the correct expression is option B.

Answer:

Option B

Answer: OPTION B.

Step-by-step explanation:

Given the rational expressions [tex]\frac{3x+2}{x-1}[/tex] and [tex]\frac{2x-5}{x-1}[/tex], we can observe that both have the same denominator, then we can add them.

We must rewrite the denominator [tex]x-1[/tex] and add the numerators. Then:

[tex]=\frac{(3x+2)+(2x-5)}{x-1}[/tex]

Therefore, adding the like terms on the numerator, we get the following sum:

[tex]=\frac{5x-3}{x-1}[/tex]

We can observe that this sum matches with the sum shown in the option B.

Answer:

  35 miles

Step-by-step explanation:

The segment addition theorem tells you ...

  DE + EF = DF

  125 + EF = 160

  EF = 35 . . . . . . . subtract 125

The distance from E to F is about 35 miles.

Answer:

Step-by-step explanation:

-8 - 7 - 16 - 14 + 2 = -43

Answer:

The fraction is 7/10 and the decimal is 0.7

Step-by-step explanation:

Each incriment represents 1/10, or 0.1.

Answer:

Decimal: 0.7

Fraction: Simplified - 7/10 ; Non-simplified: 70/100

Step-by-step explanation:

There are 9 dashes in-between 0 & 1, meaning that each dash signifies 0.1, and that you are adding 0.1 each time.

The dot is located 7 dashes away from 0. Multiply 7 with 0.1

7 x 0.1 = 0.7

0.7 is your decimal answer.

Change the decimal to a fraction. To do so, move the decimal point to the right two place values and put it over 100. Add 0's if needed.

0.7 = 70/100

As it does not specify you have to simplify, put 70/100. HOWEVER, if it says you have to simplify, simplify. Divide common factors from both the numerator & denominator:

(70/100)/(10/10) = 7/10

7/10 is your simplified fraction. 70/100 is your non-simplified fraction.

~

Answer:

Step-by-step explanation:

The point of a fraction is to express the size of something that has been divided into a number of parts equal to the denominator. For example, 1/3 represents the amount when 1 unit is divided into 3 parts.

Here, Julia has 108 that she wants to divide into x parts. The fraction 108/x will tell the size of each part.

__

When x=12, the fraction becomes 108/12 = 9/1 = 9. Each friend gets 9 sand dollars.

Answer:

56

Step-by-step explanation:

By tracing the lines on the tree diagram, we see the probability of both being red is 0.5 × 0.6 = 0.3.

The probability of both being blue is 0.5 × 0.4 = 0.2.

So we would expect to get both blue 2/3 of the times we get both red.

X = 2/3 (84)

X = 56

C and F are the answers, im pretty sure

i got you

The set of rays form the sides of angle IHG include the following;

C. ray IH

F. ray HG.

In Mathematics and Euclidean Geometry, a line segment is the part of a line in a geometric figure that is bounded by two distinct end points. This ultimately implies that, a line segment typically has a fixed length.

In Mathematics and Euclidean geometry, a ray is composed of two points that are joined by a straight line such as ray IH and ray HG.

By critically observing the figure showing angle IHG, we can reasonably infer and logically deduce that both ray IH and ray HG form it sides.

Read more on line segment here: brainly.com/question/628636

#SPJ3

Answer:

(2,  6) .

Step-by-step explanation:

The point A has coordinates (5, 9) and B  has coordinates (-1, 3).

The midpoint is (5 + -1)/2 ,  (9 + 3)/2.

= (2,  6) Answer.

[tex]

\sqrt{4x+15}-3\sqrt{x}=0 \\

\sqrt{4x+15}=3\sqrt{x} \\

4x+15=9x \\

-5x=-15 \\

x=\boxed{3}

[/tex]

Hope this helps.

r3t40

Answer:

B

Step-by-step explanation:

h(t)=-4.9t^2+ v_0t+h_0

v_0 represents initial velocity

h_0 represents initial height

we use -4.9 for the coefficient of t^2 because we dealing with meters and seconds

(If it was feet and seconds it would have been -16 instead of -4.9)

Anyways v_0 is 15m/s (We will just put 15 to make it look less complicated)

and from the ground means the initial height was h_0=0

So the answer is B.

Answer:

The transformation moves the graph of the function up 5 units

Step-by-step explanation:

If we have a function f(x) then the transformation

[tex]g (x) = f (x) + c[/tex]  vertically shifts the graph of f(x) c units

If [tex]c> 0[/tex] the graph moves c units up

If [tex]c <0[/tex] the graph moves c units down

In this case the main function is [tex]f (x) = x ^ 2[/tex]

and [tex]g (x) = f (x) + 5 = x ^ 2 +5[/tex]

Therefore the transformation moves the graph of the function up 5 units

ANSWER

[tex]y = {x}^{2} + 5[/tex]

EXPLANATION

The given function is

[tex]y = {x}^{2} + 5[/tex]

The base of this function is

[tex]f(x) = {x}^{2} [/tex]

The translation is of the form.

[tex]y = f(x) + k[/tex]

where k is a vertical translation k units up.

[tex]y = {x}^{2} + 5[/tex]

Therefore the translation is a shift up by 5 units.

[tex]\bf \stackrel{\textit{rate}}{\cfrac{~~\frac{2}{3}~~}{\frac{1}{2}}\cfrac{ft^2}{hr}}\implies \cfrac{2}{3}\cdot \cfrac{2}{1}\implies \cfrac{4}{3}\implies 1\frac{1}{3}\frac{ft^2}{hr}[/tex]

Answer: P = 19,571.42857142857

Step-by-step explanation:

Plug in the variables.

5480 = x(.04)(7)

.04*7=.28

5480=.28x

.28x/.28=x

5480/.28=19,571.42857142857

19,571.42857142857(.04)(7)=5480

P = 19,571.42857142857

Answer:

19571.43

Step-by-step explanation:

We are asked to solve for P using formula [tex]I=Prt[/tex], when [tex]I=5480; r=0.04\text{ and }t=7[/tex].

Upon substituting our given values in simple interest formula, we will get:

[tex]5480=P*0.04*7[/tex]

[tex]5480=P*0.28[/tex]

Switch sides:

[tex]P*0.28=5480[/tex]

Now, we will divide both sides of our given equation by 0.28 as:

[tex]\frac{P*0.28}{0.28}=\frac{5480}{0.28}[/tex]

[tex]P=19571.42857[/tex]

[tex]P\approx 19571.43[/tex]

Therefore, the principal amount (P) is approximately 19571.43.

Answer:

67.5

Step-by-step explanation:

Used a calculator

Answer:

67.5 sq. ft

Step-by-step explanation:

15 ft is the base, and 9 is the length of one side, if you multiply the two together, you get 135 sq. ft; however, this is just the length of a rectangle twice the size of the triangle, to get the area of the triangle you'll need to divide 135 by 2 which is 67.5 sq. ft.

Answer:

257 ft

Step-by-step explanation:

You know based upon soh that sin=opp/hyp

So drawing a right triangle with a hypotenuse of 400 ft and an angle of 40° with the ground, you can see that sin40=x/400

Multiply both sides to find your x value or height which is 257.

Check the picture below.

Answer:7/36

Step-by-step explanation:

Firstly, I would draw a table to visually see what the outcomes are. There are many methods but this is what i find to be the easiest so here it goes!!!

I hope the pic helps! If you have any questions feel free to ask!

Answer:

b

Step-by-step explanation:

First you must distribute the 2x to the numbers inside the parentheses

(2x * x) + (2x * -1) = 3

[tex]2x^{2}[/tex] - 2x = 3

To make this a quadratic equation you can solve bring the 3 over to the left side of the equation by subtracting it to both sides

[tex]2x^{2}[/tex] - 2x - 3 = 0

Use the quadratic equation to solve this (image of the quadratic equation is below)

Remember that quadratic functions are set up like so:

[tex]ax^{2} +bx +c = 0[/tex]

That means that in this equation...

a = 2

b = -2

c = -3

^^^Plug these numbers into the quadratic equation and solve...

[tex]\frac{2+/-\sqrt{(-2)^{2}-4(2)(-3)}}{2(2)}[/tex]

[tex]\frac{2 +/-\sqrt{4+24}}{4}[/tex]

[tex]\frac{2+/-\sqrt{28} }{4}[/tex]

[tex]\frac{2+/-2\sqrt{7} }{4}[/tex]

[tex]\frac{1+/-\sqrt{7} }{2}[/tex]

Keep in mind that +/- is ±

[tex]\frac{1+\sqrt{7} }{2}[/tex]

[tex]\frac{1-\sqrt{7} }{2}[/tex]

^^^Exact answers

Approximations:

1.823

-0.823

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer: 1 minute 37 seconds (97 secs)

Step-by-step explanation:

31 x 60 = 1860

1860 + 24 = 1884

29 x 60 = 1740

1740 + 47 = 1787

1884 - 1787 = 97

Answer:

  4b + 5

Step-by-step explanation:

Equation C tells us ...

  a = 4b + 5

so, the value "4b +5" can be substituted for "a" in Equation D.

_____

In algebra, things that are equal are interchangeable. One can always be substituted for the other.

the value of 'a' that can be substituted into Equation D to solve the system of equations is 19.

To solve the system of equations given by Equation C: a = 4b + 5 and Equation D: a = 6b \\- 2, we are looking for a value of a which satisfies both equations simultaneously. Since equations C and D both define 'a' in terms of 'b', we can set them equal to each other to find the value of 'b', and then use that value to find 'a'.

Step 1: Set Equation C equal to Equation D, since they both equal 'a'.
4b + 5 = 6b - 2.

Step 2: Solve for 'b'.
Subtract '4b' from both sides: 5 = 2b \\- 2.
Add 2 to both sides: 7 = 2b.
Divide both sides by 2: b = 7/2 or 3.5.

Step 3: Substitute the value of 'b' into either Equation C or D to find 'a'.
Using Equation C: a = 4(3.5) + 5 = 14 + 5 = 19.

Therefore, the value of 'a' that can be substituted into Equation D to solve the system of equations is 19.

Answer:

  soccer

Step-by-step explanation:

Neither the 5th-floor nor 6-floor girl likes soccer, so that must be the sport of choice on the 7th floor.

Answer: A

Step-by-step explanation:

S=10r

Answer:

Step-by-step explanation:

that's right on plato

Final answer:

To cover a 81 meter by 117 meter field with pallets of grass, we calculate the area in square yards and then the number of pallets needed. Each pallet covers 90 square yards and costs $210. The total cost is $27,300.

Explanation:

The question involves calculating the cost to cover a rectangular field with pallets of grass. The field measures 81 meters by 117 meters. We will first need to calculate the area of the field in square meters and then convert it to square yards since the pallets cover an area in square yards. Then, we'll find out how many pallets are needed and multiply by the cost per pallet to get the total cost.

First, let's find the area of the field in square meters:

Area = length × width = 81 m × 117 m = 9,477 m²

Now, convert square meters to square yards, using the hint that 1 yard ≈ 0.9 meters. Since the area is given in meters and we have that 1 m² = (1/0.9)² yd², we can use:

Area in yd² = 9,477 m² × (1/0.9)² = 9,477 m² × 1.23456790123 yd²/m² ≈ 11,700 yd²

Each pallet of grass covers 90 square yards, so we divide the total area by the coverage per pallet:

Number of pallets = Area in yd² / Coverage per pallet = 11,700 yd² / 90 yd²/pallet ≈ 130 pallets

Finally, we multiply the number of pallets needed by the cost per pallet to get the total cost:

Total cost = Number of pallets × Cost per pallet = 130 × $210 = $27,300

The total cost to cover the field with pallets of grass will be $27,300.

Final answer:

To cover a 81m by 117m field with pallets of grass, you need approximately 130 pallets, resulting in a total cost of $27,300.

Explanation:

The question asks us to calculate the cost to cover a rectangular field with grass pallets. The field's dimensions are 81 meters by 117 meters. First, we need to calculate the field's area in square meters and then convert that area to square yards as the pallet covers a certain number of square yards. Lastly, we will determine the total cost by multiplying the number of pallets needed by the cost per pallet.

To convert the field area from square meters to square yards, we use the approximation given that 1 yard is almost equal to 0.9 meters. So, we have:

To find out how many pallets we need:

The cost to cover the entire field is therefore:

Answer:

7.0711

= 7.1 (rounded to nearest tenth)

Step-by-step explanation:

see attached.

For this case we have by definition, that the distance between two points is given by:

[tex]d = \sqrt {(x_ {2} -x_ {1}) ^ 2+ (y_ {2} -y_ {1}) ^ 2}[/tex]

According to the given data, we have the following points:[tex](x_ {1}, y_ {1}) = (6, -5)\\(x_ {2}, y_ {2}) = (- 1, -4)[/tex]

Substituting the points in the formula we have:

[tex]d = \sqrt {(- 1-6) ^ 2 + (- 4 - (- 5)) ^ 2}\\d = \sqrt {(- 7) ^ 2 + (- 4 + 5) ^ 2}\\d = \sqrt {(- 7) ^ 2 + (1) ^ 2}\\d = \sqrt {49 + 1}\\d = \sqrt {50}\\d = 7.0711[/tex]

Rounding off we have to:

[tex]d = 7.1[/tex]

ANswer:

[tex]d = 7.1[/tex]

Answer:

Step-by-step explanation:

1. Starting with the equation ...

  1 in = 11 ft

You can multiply both sides by 32 to get the answer to your question:

  32 in = 352 ft

The actual length of the steamboat was 352 feet.

__

2. There are 16 ounces in a pound, so the cost is ...

  $0.21/oz × 16 oz/lb × 2.25 lb = $(0.21×16×2.25) = $7.56

A 2.25 lb bag of peanuts will cost $7.56.

__

3. Using the given conversion factors, we have ...

  (20 in) × (2.54 cm/in) × (10 mm/cm) = (20×2.54×10) mm = 508 mm

There are 508 mm present in 20.0 inches.

Answer:

352 ft

$7.56

508 mm

Step-by-step explanation:

1. Starting with the equation ...

 1 in = 11 ft

You can multiply both sides by 32 to get the answer to your question:

 32 in = 352 ft

The actual length of the steamboat was 352 feet.

__

2. There are 16 ounces in a pound, so the cost is ...

 $0.21/oz × 16 oz/lb × 2.25 lb = $(0.21×16×2.25) = $7.56

A 2.25 lb bag of peanuts will cost $7.56.

__

3. Using the given conversion factors, we have ...

 (20 in) × (2.54 cm/in) × (10 mm/cm) = (20×2.54×10) mm = 508 mm

There are 508 mm present in 20.0 inches.