If x/3= 8 , then x=24

Answer:

k = 7

Step-by-step explanation:

Step 1: Write equation

-18 = 5 - (6k - 19)

Step 2: Solve for k

Distribute negative: -18 = 5 - 6k + 19

Combine like terms: -18 = -6k + 24

Subtract 24 on both sides: -42 = -6k

Divide both sides by -6: k = 7

Step 3: Check

Plug in k to verify it's a solution.

-18 = 5 - (6(7) - 19)

-18 = 5 - (42 - 19)

-18 = 5 - 23

-18 = -18

Answer:

85-9y= 7(4+y)

solve for y if you need to simplify

Answer:

x=4

Step-by-step explanation:

8x - 7 =2(2x +7) - 5

8x - 7 =4x +14 - 5

8x - 7 =4x +9

8x - 4x =9 +7

4x =16

x=16 :4

x=4

Answer: 0.421

Step-by-step explanation:

Heavy smoker = 20%

Light smoker = 30%

Non smokers = 50%

We can assume that the probability that a non-smoker is going to die in the next 5 years be y.

Since light smokers were twice as likely as nonsmokers to die during the five-year study, the probability will be:

= 2 × y = 2y

Probability for the Heavy smokers will be:= 2 × 2y = 4y

The expected number of people that will die for each in the next 5 years will be:

Non smoker:

= 50% × y

= 0.5 × y

= 0.5y

Light smoker:

= 30% × 2y

= 0.3 × 2y.

= 0.6y

Heavy smoker:

= 20% × 4y.

= 0.2 × 4y

= 0.8y

Total = 0.5y + 0.6y + 0.8y = 1.9y

The probability that the participant was a heavy smoker will be:

= 0.8y/1.9y

= 0.421

Answer:

Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse.

Step-by-step explanation:

Answer:

Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse.

Step-by-step explanation:

Answer:

10 eggs

Step-by-step explanation:

5 cartons multiplied by 12 eggs each equals 60 eggs in total.

Therefore 5/6 would be equal to 50/60 since we multiply the denominator and numerator by 10

As a result 10 of the eggs are not brown

Answer:

First, we need to list all the possible selections and the number of options that each selection has:

Style of home: 5 options.

Style of garage: 6 options.

Style of decks: 5 options.

Style of carpeting: 6 options.

The number of different combinations of possible homes is equal to the product between the number of options for each selection.

This is:

C = 5*6*5*6 = 900

So there are 900 possible houses (that are all different in some aspect)

Answer: 1) NO. the zeros are: 2 and -7

              2) (x + 5)² has a middle term when in expanded form

             3) Factoring provides the Intercept form: y = a(x - p)(x - q)

Step-by-step explanation:

1) y = (x - 2)(x + 7)

To find the zeros, set the factors equal to zero:

0 = x - 2        0 = x + 7

x = 2              x = -7

The zeros are 2 and -7.  

The student did not set the factors equal to zero.

2) (x + 5)² = (x + 5)(x + 5)

               = x² + 5x + 5x + 25

               = x² + 10x + 25       ≠  x² + 25

3) The Intercept form of a quadratic equation is: y = a(x - p)(x - q) where p and q are the x-intercepts.  Notice that the intercept form IS the factored form. Set the factors equal to zero to find the x-intercepts.

y = x² - 4x + 3

y = (x - 1)(x - 3)     --> Intercept form

0 = (x - 1)(x - 3)    --> finding the zeros (aka x-intercepts)

0 = x - 1       0 = x - 3

x = 1            x = 3       -->    zeros are 1 and 3

1.The zeroes are 2,-7

2.[tex]x^2 + 25\neq ( x + 5)^{2}[/tex]

3. So, factoring can help to find the x-intercepts

1.We have y = (x - 2)(x + 7)

For zeroes of y , Put y=0

(x - 2)(x + 7) =0

x=2,-7

So, the zeroes of y = (x - 2)(x + 7) are 2 and -7.

2. We have [tex]x^2 + 25[/tex]

[tex]x^2 + 25= x^2 + 5^{2}[/tex]

And

[tex](x+ 5)^{2} \\=x^{2} +5^{2} +10x\\=x^{2} +25 +10x\\\neq x^{2} +25[/tex]

So, [tex]x^2 + 25\neq ( x + 5)^{2}[/tex]

3.We have the quadratic function [tex]y = x^2 - 4x + 3[/tex]

[tex]y=x^2 - 4x + 3\\=(x-3)(x-1)\\[/tex]

For x-intercept put y=0, we get

[tex](x-3)(x-1)=0\\x=3,x=1[/tex]

So, factoring can help to find the x-intercepts of the graph of the quadratic function [tex]y = x^2 - 4x + 3.[/tex]

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Answer:

18 practices

Step-by-step explanation:

9.63 / 9 = 1.07

19.26 - 1.07 = 18

Answer:

4 meters and 20 centimeters will be 420 centimeters

Step-by-step explanation:

Answer:

420 (cm)

Step-by-step explanation:

1 meter = 100 centimeters.

so,

4 meters = 400 centimeters

400 + 20 equals 420cm

Answer:

Shorter

Step-by-step explanation:

Since in the new map 1 cm is representing a larger area of 500m as compared to the previous map where 1cm represented 100m.

3200*3%+3200=3296 this means each year it would increase by 96

96*7=672

672+3200=3872km^2

Answer:

  B, C, E

Step-by-step explanation:

Translation is a rigid transformation. As such, it preserves sizes and angles. "Isometric" is another way to say "the size is preserved."

The length of the sandbox will be 15 feet.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the square in a two-dimensional plane is called the area of the square.

Given that Mr. Drew wants to build a square sandbox with an area of 225 square feet.

The length will be calculated by using the area formula for square.

Area of square = Length x width

Since the length and width of the square are the same. Then the area of the square can be written as:-

Area of square = ( Length )²

225 =  ( Length )²

( Length ) = √225

( Length ) = 15 feet

Therefore, the length of the sandbox will be 15 feet.

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Answer:

2,175 calories

Step-by-step explanation:

140 pound person will use 2100 calories per day

145 pounds person will use x calories per day

Find x

Pounds : calories

140 : 2100 = 145 : x

140/2100 = 145/x

Cross product

140 * x = 2100 * 145

140x = 304,500

Divide both sides by 140

x = 304,500 / 140

= 2,175

Therefore,

145 pounds person will use 2175 calories per day

Answer:

PEMDAS

[(30+6)-3^2] ÷ by 9·2

[(30+6)-9] ÷ by 9·2

[(36)-9] ÷ by 9·2

(27) ÷ by 9·2

Division comes first in this equation. Multiplication & Division goes from left to right when using PEMDAS. Same thing goes for Addition & Subtraction.

[(27) ÷ 9] · 2

(3) · 2

Answer: 6

Hopefully that made sense!

Step-by-step explanation:

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Step-by-step explanation:

hello..................

Answer:

Step-by-step explanation:

A ∩ (B ∪ C) =  {a, b, d, e} ∩ {a, b, d, g, h, j} = {a, b, d}

The price of pound of grapes increased from 1960 to 1980 is $0.25.

Given:

CPI in 1960 = 29.6

CPI in 1980 = 82.4

Price of pound of grapes in 1960 = $0.14

We have to find the increase in the price of pound of grapes from 1960 to 1980.

Now, the rate of increase in the CPI from 1960 to 1980 is given by:

⇒ Rate = (CPI in 1980) / (CPI in 1960)

⇒ Rate = 82.4/29.6

⇒ Rate = 2.78

Now, the price of pound of grapes in 1980 will be calculated as:

⇒ Price of pound of grapes in 1980 = (rate of increase in the CPI from 1960 to 1980) × (Price of pound of grapes in 1960)

⇒ Price of pound of grapes in 1980 = 2.78 × $0.14

⇒ Price of pound of grapes in 1980 = $0.389

Increase in the price of pound of grapes from 1960 to 1980 will be calculated as:

⇒ Increase in the price = (Price of pound of grapes in 1980) - (Price of pound of grapes in 1960)

⇒ Increase in the price = $0.389 - $0.14

⇒ Increase in the price = $0.249

⇒ Increase in the price ≈ $0.25

Therefore, the approximate increase in the price of pound of grapes from 1960 to 1980 is $0.25.

Hence, Option (B) is correct.

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Answer:

If problem is "-|2x+3|+8=12"

then there is (no solution.)

Step-by-step explanation:

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

−|2x+3|+8=12

Step 1: Add -8 to both sides.

−|2x+3|+8+−8=12+−8

−|2x+3|=4

Step 2: Divide both sides by -1.

−|2x+3|=4

   -1       -1

|2x+3|=−4

Step 3: Solve Absolute Value.

|2x+3|=−4

No solutions Because absolute value is less than 0.

Answer:

U simply multiply 483 by 3.5

                           =1690.5

Step-by-step explanation:  

Answer:

-$11.34

Step-by-step explanation:

Each of these tickets have been said to have the same costs of buying them.

If 6 tickets = -68.04 dollars

1 ticket = ?

We cross multiply to get the unknown

6 x ? = 1 x -68.04

Such that

? = -68.04/6

= -$11.34

So in conclusion if Taylor had not bought these 6 tickets and had only gotten 1 for the movie, the change to his account balance would be $-11.34

Answer:

A and C

Step-by-step explanation:

Because coeficcients are numbers that come before a variable

Answer:

(c) The potential energy of the object decreases while the kinetic energy increases.

Step-by-step explanation:

Given that, an object falls through Earth's atmosphere.

As there is no friction of drag, this is the case of free fall.

So, there is no restriction in the motion of the object due to the air molecule. i.e there is no rubbing of air molecule with the object, so there is no possibility of heat (thermal energy) generation. So, the thermal energy of the object remains constant. So, options (a) and (d) are incorrect.

The only force that acts on the body is the gravitational force, as there is no drag. This force causes only the acceleration of the body. The shape of the body remains unaffected. So, there is no strain in the body. Hence, the elastic energy of the body is zero and there is no change in it. Option (b) is also incorrect.

Now, due to gravitational force, the object falls towards the earth, and its velocity increases. As the object moves towards the center of the Earth, so, the distance between the center of the earth and the object is decreases, which leads to a decrease in the potential energy of the object (as the potential energy of any object due to another body is directly proportional to the distance between the center of both the body).

While, the velocity of the object increases, so the kinetic energy of the object increases (as the kinetic energy of any object of directly proportional to the square of the velocity of the object).

Hence, the potential energy of the object decreases while the kinetic energy increases.

Therefore, option (c) is correct.

Answer:

C) The potential energy of the object decreases while the kinetic energy increases.

Answer:

g⁻¹(x) = 1/x - 4

(-∞, 0)∪(0, ∞)

Step-by-step explanation:

To find g⁻¹(x), switch the places of x and y.  Rearrange the equation so that it is equal to y.

g(x) = 1/(x + 4)

x = 1/(y + 4)

x(y + 4) = (1/(y + 4))(y + 4)

x(y + 4) = 1

(x(y + 4))/x = 1/x

y + 4 = 1/x

y + 4 - 4 = 1/x - 4

y = 1/x - 4

g⁻¹(x) = 1/x - 4

For the domain, you need to look at where x is located in the equation.  For this equation, x is in the denominator by itself.  A fraction cannot have a denominator of 0.  This means that x cannot be equal to 0.  The domain is:

(-∞, 0)∪(0, ∞)

The cost of apples per lb is less than cost of cherries per lb.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have the graph shows the costs of two types of fruit at a store. Two lines, labeled Cherries and Apples, exit the origin to show that cost increases as amount increases.

Slope of the line representing apples is smaller than slope of the line representing cherries. This means that the unit rate for cherries is greater than that of apples. So, cost of apples per lb is less than cost of cherries per lb.

Therefore, the cost of apples per lb is less than cost of cherries per lb.

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Answer:

[tex]Max = 15[/tex]

Step-by-step explanation:

Given

[tex]s(y) = -2y^2 + 60y + 10[/tex]

Required

Determine number of items that gives maximum earnings;

The general form of a quadratic equation is:

[tex]s(y) = ay^2 + by + c[/tex]

And the maximum is calculated as:

[tex]Max = \frac{-b}{2a}[/tex] If a<0

Comparing [tex]s(y) = ay^2 + by + c[/tex] to [tex]s(y) = -2y^2 + 60y + 10[/tex]

We have that:

[tex]a = -2[/tex]     [tex]b = 60[/tex]   [tex]c = 10[/tex]

Substitute these values to

[tex]Max = \frac{-b}{2a}[/tex]

[tex]Max = \frac{-60}{2 * -2}[/tex]

[tex]Max = \frac{-60}{-4}[/tex]

[tex]Max = 15[/tex]

The number of item that maximizes the function is when y = 15

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Simplify 3√6 − 10√2 ⋅ √3

Answer:From cheapest to most expensive: Bobby, Amy, Carlos

-Hope this helped!

Step-by-step explanation:

Amy pays $3. 6/2=3

Bobby pays $2.50. 15/6=2.5

Carlos pays $4. 32/8=4