Half a number minus 8 is 14.

Answer:

(C / n) + 2

Step-by-step explanation:

Amount spent (C) = 42

Number of friends (n) = 6

Coupon on ticket = $2

Original price of ticket will be :

Cost per coupon ticket = (Total amount spent / number of friends)

(Total amount spent / number of friends) + coupon on ticket

= (C / n) + 2

= (42 /6) + 2

= 7 + 2

= 9

Answer:

14

Step-by-step explanation:

it's a simple matter of percentage on top of basic subtraction.

Answer:

112

the answer is 112 :)))))

Answer:

1.7

Step-by-step explanation:

2.5÷1.5

5/3

1.66666

1.7

The divisions of 2.5 divided by 1.5 gives to 5/3 or 1.6667.

One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.

Given:

2.5 divided by 1.5

So, 2.5 / 1.5

= 25 x 10 / 15 x 10

= 25/15

= 5 x 5 / 5 x 3

= 5/3

Hence, the divisions results to 5/3 or 1.6667

Learn more about Division here:

https://brainly.com/question/21416852

#SPJ2

Answer:

D would be the actual answer.

Step-by-step explanation:

Answer:

all should be correct but the last one is -7

Step-by-step explanation:

Answer:

3,0,-7

Step-by-step explanation:

The opposite of -3 would be 3, simply switch the signs.

The opposite of 0 would be 0, because 0 simply has no opposites.

The opposite of 7 would be -7, just switch the signs again.

Answer and step-by-step explanation:

cos = adj/hyp (in a right triangle)

cos0 = 3/5

adj = 3

hyp = 5

opp = sqrt( 5^2 - 3^2) = sqrt( 25-9) = sqrt(16) = 4 (Pythogorean theorem)

tan0 = opp/adj = 4/3

Answer:

[tex]\boxed {\boxed {\sf tan( \theta)=4/3}}[/tex]

Step-by-step explanation:

Cosine is equal to adjacent over hypotenuse.

We are given: cosθ=3/5

We want to find tanθ. Tangent is equal to opposite over adjacent.

We need to find the other leg of the triangle, which is the "opposite". Use Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

The hypotenuse (c) is 5.

[tex]a^2+b^2=5^2[/tex]

One leg (a) is 3, the other (b) is unknown.

[tex]3^2+b^2=5^2[/tex]

Evaluate all the exponents.

[tex]9+b^2=25[/tex]

Subtract 9 from both sides of the equation.

[tex]9-9+b^2=25-9[/tex]

[tex]b^2=16[/tex]

Take the square root of both sides.

[tex]\sqrt{b^2} =\sqrt{16}[/tex]

[tex]b=4[/tex]

Now we know the "opposite" is 4. We can find the tangent now.

[tex]tan(x)=opposite/adjacent[/tex] (opposite=4, adjacent=3)

[tex]tan( \theta)=4/3[/tex]

The tangent of theta is 4/3

The answer is the one that would be D is the choices were lettered: Moving the decimal point one place to the left makes the number 1/10 of its original value.

Answer:

Step-by-step explanation:

hi

Answer:

B

Step-by-step explanation:

Answer:

x=(4p+34)/2

p=(2x-34)/4

Step-by-step explanation:

2x-14=4(p+5)

2x-14=4p+20

2x=4p+34

If you are solving for x, it would be:

2x/2=4p+34/2

x=(4p+34)/2

If you are olving for p, it would be:

2x-34=4p

Divide 4 from both sides:

(2x-34)/4=p or p=(2x-34)/4

Answer:

-2

or

-2/1

Explanation:

**Slope = rise/run**

By counting the distance between the points, from (0,3) to (1,1) , it went down 2 units and right by 1 unit

Answer:

m= -2

Step-by-step explanation:

Pick two points and subtract the y coordinates, then subtract the x coordinates, (0,3) and (1,1)  or (1,1) and (2,-1)

[tex]m = \frac{y_{2_ } - y_{1} }{x_{2} -x_{1} } = \frac{1-3}{1-0} = \frac{-2}{1} = -2[/tex]      [tex]\frac{-1-1}{2-1} = \frac{-2}{1} = -2[/tex]

Answer:

The average speed of the car is 90 km/h

Step-by-step explanation:

The rule of the distance id D = v × t, where

∵ A car can travel 450 km in the same time it takes a train to travel

   350 km

→ That means the time of them are equals

∴ Time of the car = Time of the train

→ From the rule above t = [tex]\frac{D}{v}[/tex]

∵ D(car) = 450 km and D(train) = 350 km

∵ The car's average speed is 20 km/h faster than the average speed

   of the train

→ Assume that the average speed of the train is x km/h

∴ v(train) = x km/h and v(car) = (x + 20) km/h

→ Use the rule of the time above to find the time of each one

∵ t(car) = [tex]\frac{450}{(x+20)}[/tex]

∵ t(train) = [tex]\frac{350}{x}[/tex]

∵ t(car) = t(train)

∴ [tex]\frac{450}{(x+20)}[/tex] =  [tex]\frac{350}{x}[/tex]

→ By using cross multiplication

∵ 450 × x = 350 × (x + 20)

∴ 450x = 350(x) + 350(20)

∴ 450x = 350x + 7000

→ Subtract 350x from both sides

∴ 100x = 7000

→ Divide both sides by 100 to find x

∴ x = 70

∵ x represents the average speed of the train

∴ The average speed of the train = 70 km/h

∵ The average speed of the car = x + 20

∴ The average speed of the car = 70 + 20

∴ The average speed of the car = 90 km/h

Answer:

x=10

Step-by-step explanation:

since there are 3 zeroes in 1,000

x is 10

because 10^3=1000

Answer:

10

Step-by-step explanation:

Answer:

If you're taking the AP Statistics test, you'll need to know the general formula for a standardized test statistic. Standardized test statistics are used in hypothesis testing. The general formula formula is: Standardized test statistic: (statistic-parameter)/(standard deviation of the statistic).

Step-by-step explanation:

Answer:

Standardized test statistics are used in hypothesis testing. The general formula formula is: Standardized test statistic: (statistic-parameter)/(standard deviation of the statistic).

Answer:

2°

Step-by-step explanation:

Since, angles A and B are complementary.

Therefore,

[tex] m\angle A + m\angle B = 90\degree \\\\

(4x +40)\degree + (x-10)\degree = 90\degree \\\\

(4x+x +40-10)\degree = 90\degree \\\\

(5x +30)\degree = 90\degree \\\\

5x + 30= 90\\\\

5x = 90 - 30\\\\

5x = 60\\\\

x = \frac{60}{5}\\\\

x = 12\\\\

m\angle B = (x-10)\degree \\\\

m\angle B = (112-10)\degree \\\\

m\angle B = 2\degree \\\\[/tex]

Answer:

1. 4

2. 20

3. 80

Step-by-step explanation:

Answer:

y^3/4x

Step-by-step explanation:

Answer: x = 16

Step-by-step explanation: The y values keep going up by multiplying 2. 2x2=4, 4x2=8, so 8x2=16.

To plot the points just put the point coordinated with the x values and y values.

Answer:

9 boys 9 girls

Step-by-step explanation:

18 = 2x

9

Answer:

Um so then what is the question???

Step-by-step explanation:

Answer:

`She grew 5.75?

Step-by-step explanation:

I don't really know what the full question is, but if I saw that in a test and nothing else than I would put what the answer says lol

Answer:

1. x>-1

2. x<4

3. x<-1

4. x>-2

5. x<-3

6. x<7

Step-by-step explanation:

1. 2x>-2  Divide both sides by 2.

  /2   /2

x>-1

2. 4x<16  Divide both sides by 4.

   /4   /4

x<4

3. x+4<3 Subtract both sides by 4.

      -4  -4

x<-1

4. 5x>-10  Divide both sides by 5.

  /5     /5

x>-2

5. 3x<-9   Divide both sides by 3.

   /3   /3

x<-3

6. x-4<3  Add 4 to both sides.

    +4 +4

x<7

Hope this helps you out...next time, try to figure it out yourself without asking a lot of questions. By looking at one example, you can probably apply what to do for the other inequalities.

Answer:

$40.23

Step-by-step explanation:

Answer:

40.23

Step-by-step explanation:

easy just do 13.5*2.98

Answer:

a) The function is: f(x, y) = x + y.

The constraint is: x*y = 196.

Remember that we must write the constraint as:

g(x, y) = x*y - 196 = 0

Then we have:

L(x, y, λ) = f(x, y) +  λ*g(x, y)

L(x, y,  λ) = x + y +  λ*(x*y - 196)

Now, let's compute the partial derivations, those must be zero.

dL/dx =  λ*y + 1

dL/dy =  λ*x + 1

dL/dλ = (x*y - 196)

Those must be equal to zero, then we have a system of equations:

λ*y + 1 = 0

λ*x + 1 = 0

(x*y - 196) = 0

Let's solve this, in the first equation we can isolate  λ to get:

λ = -1/y

Now we can replace this in the second equation and get;

-x/y + 1 = 0

Now let's isolate x.

x = y

Now we can replace this in the last equation, and we will get:

(x*x - 196) = 0

x^2 = 196

x = √196 = 14

then the minimum will be:

x + y = x + x = 14 + 14 = 28.

b) Now we have:

f(x) = x*y

g(x) = x + y - 196

Let's do the same as before:

L(x, y, λ) = f(x, y) +  λ*g(x, y)

L(x, y, λ) = x*y +  λ*(x + y - 196)

Now let's do the derivations:

dL/dx = y + λ

dL/dy = x + λ

dL/dλ = x + y - 196

Now we have the system of equations:

y + λ = 0

x + λ = 0

x + y - 196 = 0

To solve it, we can isolate lambda in the first equation to get:

λ = -y

Now we can replace this in the second equation:

x - y = 0

Now we can isolate x:

x = y

now we can replace that in the last equation

y + y - 196 = 0

2*y - 196 = 0

2*y = 196

y = 196/2 = 98

The maximum will be:

x*y = y*y = 98*98 = 9,604

Answer: 13

Step-by-step explanation:

x = 307. Hope that helped :)

Answer:

15

Step-by-step explanation:

If y is 20 when x is 5 then x is always 1/4 of y

60*(1/4)=15

ANSWER:

distance when starting her walk/ when time is 0

Step-by-step explanation:

y axis will be distance and x intercept is the point where y is 0

so represents when distance is 0.

Answer:

the time it takes to walk from her house to school

Step-by-step explanation: