Which expression is not equivalent to the other expressions?

-6(2x-4)
-(12x-6)+18
-3(4x-3)+15
-4(3x+6)

Answer:

7 2/5

Step-by-step explanation:

7.08 to improper fraction:

708/100

= 7 2/25

Answer:

Step-by-step explanation:

20

×48

-------

160

800

---------

960

Hope this helps

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Answer:

Step-by-step explanation:

20×48 =

= 20×(40+8) =

= 20×40 + 20×8 =

= 2×4×100 + 2×8×10 =

= 800 + 160 =

= 960  

Or:

20×48 = 2×48×10 = 96×10 = 960

Answer:

[tex]\sqrt{13}[/tex]

Step-by-step explanation:

Use the distance formula:

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

Insert the values:

[tex](2_{x1},5_{y1})\\\\(-1_{x1},3_{y2})\\\\\\sqrt{(-1-2)^2+(3-5)^2}[/tex]

Simplify:

[tex]\sqrt{(-1-2)^2+(3-5)^2}\\\\ \sqrt{(-3)^2+(-2)^2}\\\\ \sqrt{9+4}\\\\\sqrt{13}[/tex]

The distance between the two points is the square root of 13.

:Done

Answer: [tex]\sqrt{13}[/tex] or 3.61

Step-by-step explanation:

[tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]\sqrt{\left(-1-2\right)^2+\left(3-5\right)^2}[/tex]

[tex]\sqrt{9+4}[/tex]

[tex]=\sqrt{13}[/tex]

Answer:

yes it is proportional because you don't buy the popcorn

Answer:

A. Yes.

Step-by-step explanation:

Since you never buy popcorn, the only thing you buy are movie tickets. The only thing contributing to the total price are the movie tickets, so the total price is proportional to the number of movie tickets purchased.

Hope this helps!

Answer:

120

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

4√y√y / 3√y

The above equation can be simplified as follow:

4√y√y / 3√y

4√y × √y ÷ 3√y

Recall:

√a = a^1/2

m√a = a^1/m

Therefore,

4√y√y ÷ 3√y

y^1/4 × y^1/2 ÷ y^1/3

Recall:

a^m × a^n = a^(m+n)

Therefore,

y^1/4 × y^1/2 ÷ y^1/3

y^(1/4 + 1/2) ÷ y^1/3

y^3/4 ÷ y^1/3

Recall:

a^m ÷ a^n = a^(m–n)

Therefore,

y^3/4 ÷ y^1/3

y^(3/4 – 1/3)

y^5/12

Comparing the above with y^m, we have

y^5/12 = y^m

m = 5/12

Therefore, the value of m is 5/12

Answer:

(5*7)-f

Step-by-step explanation:

Algebraic expression for the given statement is [tex]5 \cdot 7 -f[/tex]

Algebraic expression is the combination of terms that consists of numbers  and variables connected by arithmetic operators.

Given statement is 5 times the quantity 7 minus a number f in an algebraic expression.

We need to write it in an algebraic expression

5 times a quantity. for product we use multiplication sign

For addition we use + sign and for difference we use minus sign .

5 times the quantity 7 means 5 multiplied by 7

[tex]5 \cdot 7[/tex]

5 times the quantity 7 minus a number f  

subtract f from the expression we got

[tex]5 \cdot 7 -f[/tex]

Algebraic expression for the given statement is [tex]5 \cdot 7 -f[/tex]

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Answer:

→To combine the two functions, you have to multiply them together, like so:

h(x) · s(x)

→This can also be shown as:

[tex](103)(1.03)^x^-^1[/tex]

The reason as to why you would multiply the two functions together, and not add, is because of the words accrues. Based on the information given, the interest amount of money, which is $103, accrues, which basically means that the money will increase in a pattern, over time. In addition, when a world problem involves a bank and money, multiplication is usually occurring.

The total amount of money Christina will have in her bank account as interest accrues after she deposits her $103 is g(x) = (103)(1.03)^(x-1).

Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.

Christina has $103 earned from babysitting saved at home, and the amount is modeled by the function,

[tex]h(x) = 103[/tex]

She reads about a bank that has savings accounts that accrue interest according to the function,

[tex]s(x) = (1.03)^{(x-1)}[/tex]

This function means that the interest amount is 3% in value per year in which x represent the number of years.

Now the total amount of money she will have in her bank account as interest accrues will be equal to the product principal and interest rate.

Let the amount of money she will have in her bank account as interest accrues is represented by function g(x). Thus,

[tex]g(x) = (103)(1.03)^{(x-1)}[/tex]

Thus, the total amount of money Christina will have in her bank account as interest accrues after she deposits her $103 is.

[tex]g(x) = (103)(1.03)^{(x-1)}.[/tex]

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Answer:

Correct option is length = 4, width = 3.

Step-by-step explanation:

Given:

Diagonal of a rectangle is rational.

To find:

Which of the following length and width options represent a rectangle ?

options:

length = 2, width = 1

length = 4, width = 4

length = 3, width = 2

length = 4, width = 3

Solution:

First of all, let us consider a rectangle as shown in the attached answer image.

Rectangle ABCD.

Width of rectangle is AB.

Width of rectangle is BC.

And the diagonal AC or BD can be found by using Pythagorean Theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AC^{2} = AB^{2} + BC^{2}\\\Rightarrow Diagonal^{2} = Length^{2} + Width^{2}[/tex]

Now, let us find diagonal for each option and check whether it is rational or not.

Option 1:

length = 2, width = 1

[tex]Diagonal^{2} = 2^{2} + 1^{2}\\\Rightarrow Diagonal^{2} = 5\\\Rightarrow Diagonal = \sqrt5[/tex]

Not rational

Option 2:

length = 4, width = 4

[tex]Diagonal^{2} = 4^{2} + 4^{2}\\\Rightarrow Diagonal^{2} = 32\\\Rightarrow Diagonal = 4\sqrt2[/tex]

Not rational.

Option 3:

length = 3, width = 2

[tex]Diagonal^{2} = 3^{2} + 2^{2}\\\Rightarrow Diagonal^{2} = 13\\\Rightarrow Diagonal = \sqrt{13}[/tex]

Not rational.

Option 4:

length = 4, width = 3

[tex]Diagonal^{2} = 4^{2} + 3^{2}\\\Rightarrow Diagonal^{2} = 25\\\Rightarrow Diagonal = \sqrt{25} = 5[/tex]

Diagonal is rational.

Correct option is length = 4, width = 3.

Answer:

When the plane makes its turn to fly southeast, it makes a 45º angle at point a, making angle abc also equal to 45º.  

Line ab is the 2 miles southeast the plane flies.

Line ac = line cb

sine (45º) = opposite / hypotenuse = cb / 2

.70711 = cb / 2

cb = 1.41422  miles = line ac

Line cs = 3 - 1.41422 = 1.58578

Line x^2 = cs^2 + cb^2

Line x^2 = 2.5146982084  + 2.0000182084

Line x^2 = 4.5147

Line x = 2.1248

Step-by-step explanation:

Answer:

Amount saved by making a cash payment is $24.6

Step-by-step explanation:

We start by calculating the amount to be paid if payment was by installments.

We are told that there would be a down payment of $25 and $15 every month for 12 months.

So total installment payment would be;

$25 + 12($15) = $25 + $180 = $205

Now let’s try and figure out the cash payment

For the cash payment, we have 12% less than installment payment.

Kindly note that 12% is same as 12/100 = 0.12

Thus, 12% less payment would be;

205-0.12(205) = 205 - 24.6 = $180.4

Thus, the amount saved if payment was cash would be;

$205 - $180.4 = $24.6

Answer: 54.29%

Step-by-step explanation:

Given: The probability that they  will win both games is 38%.

i.e. P( both games will win) =0.38

The probability that they will win just the first game is  70%.

P(first game will win) = 0.70

To find : P(second game will win| first game will win)

Using formula: [tex]P(B|A)=\dfrac{P(\text{both A and B})}{P(A)}[/tex]

So, P(second game will win| first game will win) = [tex]\dfrac{\text{ P( both games will win)}}{\text{P(first game will win)}}[/tex]

[tex]=\frac{0.38}{0.70}\approx0.5429=54.29\%[/tex]

Hence, the required probability = 54.29%

Answer:

Approximately 13.4 units.

Step-by-step explanation:

To find the distance between two points, use the distance formula. The distance formula is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

x₁ and y₁ is one coordinate while x₂ and y₂ is the other.

Let (-3,10) be x₁ and y₁ and let (3,-2) be x₂ and y₂. Plug in the numbers and simplify:

[tex]d=\sqrt{(3-(-3))^2+(-2-10)^2}\\ d=\sqrt{6^2+(-12)^2} \\d=\sqrt{36+144} \\d=\sqrt{180}\\ d=\sqrt{36\cdot5}=6\sqrt{5}\approx13.4164[/tex]

Edit: Typo

Answer:

100

Step-by-step explanation:

Work Shown:

10^(-3) = 1/( 10^3 ) = 1/1000 = 0.001

The rule used here is x^(-k) = 1/( x^k )

Answer:

C. O.001

Step-by-step explanation:

10^-3 = (1)/(10^3)

move the negative exponent to the denominator

(1)/(1000)

simplify 10^3 in the denominator

(1)/(1000) = 0.001

Answer:

x = -8

Step-by-step explanation:

16+6-6x-4=-7x+3+7

Combine like terms

18 -6x = -7x+10

Add 7x to each side

18-6x+7x = -7x+7x+10

18+x = 10

Subtract 18 from each side

18+x-18 = 10-18

x = -8

Answer:

x = -8

Step-by-step explanation:

16+6-6x-4 = -7x+3+7

18 - 6x = -7x + 10

-6x + 7x = 10 - 18

x = -8

Check:

18 - 6*-8 = -7*-8 + 10

18 + 48 = 56 + 10 = 66

Answer:

(1+5*2+(1+3))2=27

0.25*43-1=15

4+8(1/4+2)=22

Step-by-step explanation:

I used a scientific calculator ;)

Answer:

x = √11

Step-by-step explanation:

2x² - 1 = 21

add 1 to both sides

2x² - 1 + 1 = 21 + 1

simplify

2x² = 22

x² = 22 / 2

x = √11

Answer:

x = √11

Step-by-step explanation

2x² - 1 = 21

negative sign crossing an equal to sign becomes a positive sign

2x² - 1  = 21 + 1

2x² = 22

x² = 22 / 2

x = √11

Answer:

A=535.93

Step-by-step explanation:

A=P(1+r)^t

A=500[(1+0.07/4)]^4

A=535.93

Answer:

0.08%

Step-by-step explanation:

2 years,

the $800 plus $128 in interest. What simple interest rate did he pay?

128/2

$64 a year

64/800=0.08

so 0.08%

Answer:

y=6x-23

Step-by-step explanation:

-5=6(3)+b

-5=18+b

b=-23

If this helps, plz give brainly, I rlly need it!

Answer:

6x-23

Step-by-step explanation:

Answer:

The approximate percentage of women with platelet counts within 3 standard deviations of the​ mean is 99.7%.

Step-by-step explanation:

We are given that the blood platelet counts of a group of women have a​ bell-shaped distribution with a mean of 247.3 and a standard deviation of 60.7.

Let X = the blood platelet counts of a group of women

The z-score probability distribution for the normal distribution is given by;

                                Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean = 247.3

           [tex]\sigma[/tex] = standard deviation = 60.7

Now, according to the empirical rule;

Since it is stated that we have to calculate the approximate percentage of women with platelet counts within 3 standard deviations of the​ mean, or between 65.2 and 429.4, i.e;

         z-score for 65.2 =  [tex]\frac{X-\mu}{\sigma}[/tex]

                                     =  [tex]\frac{65.2-247.3}{60.7}[/tex]  = -3

         z-score for 429.4 =  [tex]\frac{X-\mu}{\sigma}[/tex]

                                       =  [tex]\frac{429.4-247.3}{60.7}[/tex]  = 3

So, it means that the approximate percentage of women with platelet counts within 3 standard deviations of the​ mean is 99.7%.

Answer:

-1/4

Step-by-step explanation:

Slope = y/x - y1/x1

=> -7/7 - (-3/-9)

=> -7 +3 / 7+9

=> -4/16

=> -1/4

The slope for the given coordinates of points is -1/4.

The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference.

The negative slope indicates the rate of decrease while the positive shows the rate of increase.

The given points are (-9, -3) and (7,-7).

The general expression to find the slope for two points (x₁, y₁) and (x₂, y₂) is given as,

m = (y₁ - y₂)/(x₁ - x₂)

Plug (x₁, y₁) = (-9, -3) and (x₂, y₂) = (7, -7) to get,

⇒ m = (-3 + 7)/(-9 - 7)

⇒ -1/4

Hence, the slope is obtained as -1/4.

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Answer:

200

Step-by-step explanation:

i multiplied the answer choices by the fractions and 200 was the one that checked out

(5280 vodas) * (1/2.71828 moloko/voda) * (1/3.1416 pivo/moloko) ≈ 618 pivos

(because 5280 has 3 significant digits)

Answer:

Step-by-step explanation:

a) area of rhombus = 1/2 × d1 × d2 = 90cm^2

here d1 and d2 are the diagonals

d1 = 18 cm

1/2 × 18 × d2 = 90

9 × d2 = 90

d2 = 90/9

d2 = 10 cm

∴The length of other diagonal is 10 cm

b) d1 = 28 cm

d2 = 24 cm

area = 1/2 × d1 × d2

= 1/2 × 28 × 24

= 336 cm^2

∴ The are of the rhombus = 336 cm^2

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Answer:

The length of Segment GF is 120

Step-by-step explanation:

Given that EH = 80, and AB, GF, RH, and DI are  parallel lines, we have;

DC ≅ DE ≅ EF ≅ FA Given

Therefore, CI ≅ HI ≅HG ≅ GB (Triangle proportionality theorem)

From where we have;

EH/GF =CH/CG (Intercept theorem otherwise known as Thales' theorem )

CH = 2 × CI (Transitive property of equality)

Also CG = 3 × CI (Transitive property of equality)

EH/GF = 2×CI/(3×CI) = 2/3

EH/GF = 2/3

80/GF = 2/3

Therefore we have;

Segment GF = 80 × 3/2 = 120

The length of Segment GF = 120.

120 U-U

Mostly cuz i looked it up and i am not explaining it cuz i dont wanna

Answer:

2(10) is implied multiplication

Step-by-step explanation:

( 18+2) + 2(10) ÷4 -2

PEMDAS

Parentheses first

( 20) + 2(10) ÷4 -2

Then exponents ( we have none)

Then multiply and divide from left to right

20 + 20÷4 -2

20 + 5-2

Then add and subtract from left to right

25 -2

23

2(10) is implied multiplication

Answer:

23

Step-by-step equation

(18+2)+2(10)÷4-2

20+20÷4-2

20+5-2

25-2

23

Answer:

  161.8 cm²

Step-by-step explanation:

The given formula works if you have both legs of the triangle. Using the given information, a better formula is ...

  A = (1/2)ab·sin(C) . . . . C is the angle between sides 'a' and 'b'

  A = (1/2)(27.6 cm)(30 cm)sin(23°) ≈ 161.8 cm²

Answer:

B on edg 2020

Step-by-step explanation:

Just took test

Answer:

Relationship: As the input increases by 1, the output increases by 3.

Equation: y=3x-1

~Hope this helps~

Answer:

The House

Step-by-step explanation: