To solve the equation 1. 75n = 7 for n, what operation must be applied to both sides in order to isolate the variable n?

9514 1404 393

Answer:

  D. 12

Step-by-step explanation:

There are a number of ways to find the area of this rectangle. Perhaps the most straightforward is to find the lengths of the sides and multiply those. The distance formula is useful.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

Using the two upper-left points, we find the length of that side to be ...

  d = √((3 -0)^2 +(3 -0)^2) = √(9 +9) = √18 = 3√2

Similarly, the length of the lower-left side is ...

  d = √((-2 -0)^2 +(-2 -0)^2) = √(4+4) = √8 = 2√2

Then the area of the rectangle is ...

  A = LW

  A = (3√2)(2√2) = 3·2·(√2)^2 = 3·2·2 = 12

The area of rectangle ABCD is 12.

_____

Other methods include subtracting the area of the corner triangles from the area of the bounding square:

  5^2 -2(1/2)(3·3) -2(1/2)(2·2) = 25 -9 -4 = 12

Answer:

15

Step-by-step explanation:

a) The height of the real boat is 15 feet and the scale model is 3 inches

b) The scale model is 9 inches , and the real height is H = 45 feet

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the value of A is

The proportion of scale model of the boat to the real boat is 1 : 5

Now ,

a)

The height of the real boat is 15 feet and the scale model is k inches

From the proportion , we get

1 / 5 = k / 15

Multiply by 15 on both sides , we get

k = 3 inches

b)

The scale model is 9 inches , and the real height is H

From the proportion , we get

5 / 1 = H / 9

Multiply by 9 on both sides , we get

H = 45 feet

Hence , the proportion is solved

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Answer:

x = 17

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

x + 8 = 3(x - 7) - 5

Step 2: Solve for x

Answer:

17

Step-by-step explanation:

X+8=3(x-7)-5

x+8=3x-21-5

x+8=3x-26

8=2x-26

34=2x

Answer:

Graph 1.

Step-by-step explanation:

The graph of f(x) will be compressed by a factor 4 and the vertex will be 4 units up from the origin.

Answer:

0.6316

Step-by-step explanation:

The computation of the probability that 2 people were excited without replacement is shown below:

There is a total of 20 people

out of which 16 are excited and the remaining 4 would be non-excited

Now the probability would be

[tex]= \frac{^{16}C_2}{^{20}C_2}[/tex]

= 0.6316

Answer:

x=19

Step-by-step explanation:

20/36=30/(x+5+30)

20(x+35)=30(36)

20x+700=1080

20x=380

x=19

Answer: [tex]P(-4,-2)[/tex]

Step-by-step explanation: Distance between two points is calculated as

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

Equidistant means the same distance, i.e., the distance between points P and R is equal to the distance between points P and S.

Suppose P's y-coordinate is a. If its x-coordinate is double, then

(x,y) = (2a,a)

Thus

[tex]\sqrt{(2a+2)^{2}+(a-4)^{2}} =\sqrt{(2a-6)^{2}+(a+4)^{2}}[/tex]

Solving

[tex]4a^{2}+8a+4+a^{2}-8a+16=4a^{2}-24a+36+a^{2}+8a+16[/tex]

[tex]5a^{2}+20=5a^{2}-16a+52[/tex]

[tex]-16a=32[/tex]

[tex]a=-2[/tex]

y-coordinate is [tex]-2[/tex], then x-ccordinate is

2a = 2(-2) = [tex]-4[/tex]

Coordinates of point P equidistant for R and S is [tex](-4,-2)[/tex].

Answer:

4 dimes, 12 nickels

Step-by-step explanation:

nickels are worth 5 cents,

12x5=60

$1 is worth 100 cents

100-60 is 40

dimes are worth 10 cents

40 / 10 is 4

so 4 dimes

The number of dimes = 8 dimes

The number of nickels = 4 nickels

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of nickels be = x

Let the number of dimes be = y

Now , the total number of coins = 12

So , the equation will be

x + y = 12   be equation (1)

Now , the total value of coins = $ 1

The value of 1 dime = $ 0.10

The value of 1 nickel = $ 0.05

So , the equation will be 0.05x + 0.10y = 1   be equation (2)

Multiply equation (2) by 100 , we get

5x + 10y = 100   be equation (3)

Multiply equation (1) by 5 , we get

5x + 5y = 60   be equation (4)

Subtracting equation (4) from equation (3) , we get

5y = 40

Divide by 5 on both sides of the equation , we get

y = 8

Therefore , the value of y = 8

Substitute the value of y in equation (1) , we get

x + y = 12

x + 8 = 12

Subtracting 8 on both sides of the equation , we get

x = 4

Therefore , the value of x is 4 and value of y is 8

Hence , The number of dimes = 8 dimes

The number of nickels = 4 nickels

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Answer:

Step-by-step explanation:

nth term = 0.6 × 5ⁿ⁻¹

a₆ = 0.6 × 5⁵ = 1875

The sixth term of the sequence is [tex]3,125.6[/tex]

GIven the geometric seqence 0.6, 3, 15, 75, .

The nth term of the sequence is expreessed as [tex]T_n = ar^{n-1}[/tex]

Given the following

a = 0.6

r = 5

n = 6

Get the nth term

[tex]T_n= 0.6(5)^{n-1}[/tex]

For thr sixth term:

[tex]T_6= 0.6(5)^{6-1}\\T_6= 0.6(5)^5\\T_6= 3,125.6[/tex]

Hence the sixth term of the sequence is [tex]3,125.6[/tex]

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Answer:

1500

Step-by-step explanation:

We can required to find the sum which also means the value

Future value= value × [ 1 + rate×time]

2400= value × [1 + 15/100×4]

2400= value × [1 + 0.15×4]

2400= value × [1+0.6]

2400= value × 1.6

Value= 2400/1.6

= 1500

Answer:

She needs 15/2 cups of flour.

Step-by-step explanation:

x+2 1/2=10

2 1/2=5/2

x+5/2=10

x=10-5/2

x=20/2-5/2=15/2

Answer:

$199.68

Step-by-step explanation:

You would have to find 4% of 192.

That is 7.68.

192+7.68=199.68.

Answer:

1,2,3,5

Step-by-step explanation:

Answer:

abce

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:74

Step-by-step explanation:

Answer:

y= -4

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

You are adding the time it takes to make a pizza so it isn't B or C

Answer:

5

Step-by-step explanation:

Answer:

$0.09/minute

Step-by-step explanation:

$45/8 hours is $5.63 per hour

There is 60 minutes in an hour.

So you do $5.63/60 minutes and it's about $0.09

So it's 9 cents per minute

hope this helps :)

Answer:

can't be determined

Step-by-step explanation:

we would need to know the total number of bars/chips he brought

Answer:

14/2+t/2 so ( 14+t)/2 is the answer

Answer:

C

Step-by-step explanation:

open circle, arrow pointing left

Answer:

C.  [tex]r=\sqrt[3]{\frac{3V}{4\pi}}[/tex]

Step-by-step explanation:

Answer:

Jill lost 1/3

Bill lost 1/6

and Jack lost 1/4

Make a common denominator -  let's use 12

Jill lost 4/12

Bill lost 2/12

Jack lost 3/12

Add them together = 9/12

reduce by dividing by 3.

total of 3/4 spilt

48 divided into 4 parts then multiplied by 3 of those parts

48 / 4 * 3 = 36

Step-by-step explanation:

Answer: a

Step-by-step explanation:

Took test

Answer:75/100

Step-by-step explanation:

75%=75/100

Answer:

75/100

Step-by-step explanation:

reduced fractions of this include but are not limited too: 3/4 6/8 12/16 24/32 48/64

Answer:

I think 2500..not sure tho

Step-by-step explanation:

Answer:

1.)88

2.)124

3.)3256

4.)102357

5.)79

Step-by-step explanation:

Answer:

i do not know but you need to answer you text messages

Step-by-step explanation:

Answer:

no entiendo me explican que significa por fa