A kind teacher gives you 20 cents for every question you get right, but you have to pay the
teacher 10 cents for every question you get wrong. After 30 questions you have made a
profit of $1.80.
a ) Form an equation with x representing the number of questions you got right.
b )Solve your equation to find how many questions you got right.

Answer:

The sum of the first 7 terms in the geometric sequence is -6558

Step-by-step explanation:

s7 refers to the sum of the first 7 terms of the geometric sequence

To calculate the sum of terms, we use the sum of terms formula

We have this generally given as;

Sn = a(1-r^n)/(1-r)

a refers to the first term, given as a1 which is -4374

r is the common ratio which is 1/3

n is the number of terms, which is 7

substituting these values;

s7 = -4374(1-(1/3)^7)/(1-1/3)

s7 = -4374(1-(1/3)^7)/2/3

s7 = (3 * -4374)/2 * (1- (1/3)^7

s7 = -6561 * (1-1/2187)

s7 = -6561 * (2187-1)/2187

= -6561 * 2186/2187

= -6558

Answer:

X=4, y=-7

Step-by-step explanation:

To use elimination method, you want to cancel x or y when adding the equations together. So let’s multiply the first equation by -2

2(y)=2(-x-3)

2y=-2x-6

——————

add above equation 2y=-2x-6

to second equation    Y=2x-15

add together.           3y=-21

                                   Y=-7

—————————————-

solve for x by substituting y value (7) into either equation

y=-x-3

-7=-x-3

-4=-x

4=x

x^2=37 ===》 x = + radical 37( acceptable )

===》 x = - radical 37(unacceptable)

Answer:

1. -5

2. -24

3. 0

Step-by-step explanation:

Sum means addition.

Product means multiplication.

A negative times a negative will give you a positive.

Anything times zero is zero.

1. -2 + 5 + (-8) = -5

2. -1 * -4 * -6 = -24

3. 10 * 0 *-9 = 0

Given:

Numbers on die = 1, 2, 3, 4

Colors on board = Red, Green, Blue, Orange (equal sized sections)

To find:

The number of different possible outcomes are there if she rolls a fair die in the board.

Solution:

According to the given information,

The total possibilities for numbers = 4

Total possibilities for colors = 4

Total possibilities = Possibilities for number × Possibilities for colors

                             = [tex]4\times 4[/tex]

                             = [tex]16[/tex]

So, total 16 possible outcomes are there if she rolls a fair die in the board.

Let Red=R, Green=G, Blue=B, Orange=O, then list of total possible outcomes is:

{1R,1G,1B,1O,2R,2G,2B,2O,3R,3G,3B,3O,4R,4G,4B,4O}

Therefore, the total possible outcomes are 16 and the lies of outcomes is {1R,1G,1B,1O,2R,2G,2B,2O,3R,3G,3B,3O,4R,4G,4B,4O}.

Answer: 8

Step-by-step explanation:

i saw one like the answser it said do 4 x 4 and got 16 then i answer it and got it wrong so i did 4 plus 4

Answer:

Step-by-step explanation:

It 14

Answer:

this is like related to fractions right?

Step-by-step explanation:

to be honest with you, I dont know

The work required to lift the massive car of 2400 kg is more than lifting the car with 120 kg

Work is defined as the energy that is applied to or removed from an object by applying force along a displacement. For a constant force acting in the same direction as the motion, the work is defined as the product of the force's magnitude and the distance traveled. The dimensions of work is

ML²T⁻² and the SI unit of work is Joule

Work = Force x Distance

The SI unit for work is the joule (J), or newton meter ( Nm ). One joule equals the amount of work that is done when 1 N of force moves an object over a distance of 1 m

Given data ,

Let the work required to move the 2400kg car be W₁

Let the work required to move the 1200kg car be W₂

Now , the force in moving the 2400 kg car = F₁

The value of F₁ = 2400 ( a )

And , the force in moving the 1200 kg car = F₂

The value of F₂ = 1200 ( a )

where a is the acceleration

Let the distance moved be height H

Now , the work W₁ = Force x Distance

Substituting the values in the equation , we get

W₁ = 2400 ( a ) H

And , W₂ = 1200 ( a ) H

Now , W₁ > W₂

Hence , the work required to move 2400 kg car is greater

To learn more about work click :

https://brainly.com/question/9678365

#SPJ6

Answer:

-4

Step-by-step explanation:

you flip the ratio from the original line

Answer:

radius = 15 in.

circumference = 94.2 in.

Step-by-step explanation:

radius = diameter/2 = 30 in./2 = 15 in.

circumference = (pi)d = 3.14 * 30 in. = 94.2 in.

Answer:true false true true

Step-by-step explanation:

Answer:

true

false

true

true

Respuesta:

27,22 metros

Explicación paso a paso:

Dado :

Sombra del poste = 21 metros

Altura de la persona = 1,75 metros

Sombra de la persona = 1,35 metros

Altura del poste =?

Usando la relación:

Altura de la persona / sombra de la persona = altura del poste / sombra del poste

1,75 / 1,35 = x / 21

Cruz multiplicar

1,35 * x = 1,75 * 21

x = (1,75 * 21) / 1,35

x = 27,22

Answer:

Step-by-step explanation:

If parallel lines don't intersect, then there can't be any solutions. An intersection represents a solution.

If this is a true false question, the statement is false.

Answer:

file?

Step-by-step explanation:

Answer:

if i did all the math right it is $45 and hour

Step-by-step explanation:

$342.25 - $196 = $146.25

$146.26 ÷ 3.25 = $45. so $45 an hour

Answer:

m<2= 101; m<1=79

Step-by-step explanation:

angle 1 is corresponding to the 79 degree angle

angle 2 is supplementary from 79 degrees

Answer: a2 + b2 = c2 a2 + b2 = c2 is correct

Step-by-step explanation:

reason being:

if a2 and b2 are in the equation that would make c2 a2 rational and when the number is rational thats automatically easy to know the area and square root and thats the key! the questions states the spuare root and area which makes it all easy to know that the correct one is a2 + b2 = c2 a2 + b2 = c2.

(Hopes this helps)

Step-by-step explanation:

Answer:

Tyce is correct because you are finding the hyphenous and not the missing side.

Step-by-step explanation:

I also did the work to double check and I got the same answer as Tyce.

Answer:

b

Step-by-step explanation:

if you add it all together that's the answer hope this helps!

Answer:

5

Step-by-step explanation:

Terrible wording on the question as the "father" is 15 the "son" is 10 and the sister is 0 or just born

J = john

S = son

X = sister

J = 2s

S = 5 + X

3(x+5) = J + 5

J = 2(5+x) = 2x + 10

3x+15 = 2x +10 + 5

x = 0

Answer:

your answer will be 25 .....ok

Answer:

x = 25

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 3 when x = 15

3 = 15k ( divide both sides by 15 )

[tex]\frac{3}{15}[/tex] = k, that is k = [tex]\frac{1}{5}[/tex]

y = [tex]\frac{1}{5}[/tex] x ← equation of variation

When y = 5 , then

5 = [tex]\frac{1}{5}[/tex]x ( multiply both sides by 5 to clear the fraction )

25 = x

Answer:

57in^2

Step-by-step explanation:

Divide the shape into 2 recatngles.

Imagine a line cuts away a rectangle of length 12in by width 4in. from a square  of length (12-9)in. and width (7-4)in

This gives you 2 different shapes

Find their area

Rectangle one has an area of = 12in x 4in = 48in^2

Square has an area of = (12-9) in x (7-4) in = 3x 3 inch = 9in.^2

Find their sum to find the area of the whole compound shape:

48+9 = 57in^2

Hope this helps

Answer:

2:5, 5:2

Step-by-step explanation:

Lets use 30 and 12. 12 divided by 30 is 0.4, which reduced is 2:5, or u can write 0.4. Thats oil to flour

But opposite numbers for flour to oil, bc of common sense.

Hope this helps(would be appreciated if you mark this answer brainliest bc need for lvl up. )

Answer:

14cm is the correct answer

Answer:

$2.47

Step-by-step explanation:

Pretend if Mr. Yasin didn't pay for the 3rd box, find out how much he had left after paying for the first 2 boxes.

9.43 - 3.99 - 2.97 = 2.47

Answer:

It will take 90 minutes for the train to travel 180 miles.

Step-by-step explanation:

180 ÷ 60 = 3

3 × 30 = 90

Answer:

90 minutes

Step-by-step explanation:

60+60+60=180

30+30+30=90

Answer:

287 902 12 6843 38

Step-by-step explanation:

.5 or higher rounds up

Answer:

287

902

12

6843

38

Step-by-step explanation:

Answer:

Step-by-step explanation:

we can say the angle is also +45° going in the clock wise direction.  so take Tan(45)= 1

Cot(45) = 1

b/c  Tan(45) = Sin(45) /Cos(45) = ([tex]\sqrt{2}[/tex]/2) / ([tex]\sqrt{2}[/tex]/2)   ofc that's just 1

b/c Cot(45) = Cos(45) / Sin(45) , which is the same as above 1

Answer:

A = 189.25

Step-by-step explanation:

A = πr²

15 x 10 = 150

5 x 5 x 3.14 = 78.5

78/2 = 39.25

You divide by 2 because it's half of a circle.

150 + 39.25 = 189.25

Let me know if this helps!