11.3
Example 3: A person randomly selects one of the four envelopes
shown below. Each envelope contains a check that the person gets
to keep. However, before the person can select the envelope, he or
she must pay $7 to play. Determine the person's expectation for the
following:

Answer:

-2x-8

2x= -8

x = -4

or

( x - 2 )(x + 2 )

x=2

x= -2

Answer:

-4 mph/sec

Step-by-step explanation:

Answer: -4 mph/s

Step-by-step explanation:

Remember the formula:

FinalVelocity = InitialVelocity + (acceleration)(time)

50 = 30 + (a)(5)

a = (30 - 50)/5

a = -4 mph/s

Answer:

Step-by-step explanation:

There are 6 friends total and for them to make $45 each, you would need to multiply 6 to 45.  The only way you could do this is if you have a fraction supporting the variable.

1/6x = 45

~Multiply 6 to both sides

x = 270

Best of Luck!

Answer:

[tex]\huge\boxed{\$ 270}[/tex]

Step-by-step explanation:

We can break this problem down to understand it.

Chad and his friend make an unknown amount of money while selling t-shirts. We'll assign this to a variable, [tex]x[/tex].

After splitting it amongst him and his 5 friends, he wants everyone to have $45.

Therefore, we can multiply the profit per person by the number of people to find how much money has to be made in total.

Chad + 5 people = 6 people

We can write an equation for this problem.

[tex]\displaystyle \frac{1}{6}x=45[/tex]

To solve this, we multiply both sides by 6 to cancel out the [tex]\frac{1}{6}[/tex] (as [tex]\frac{1}{6} \cdot 6 = 1[/tex]).

[tex]45 \cdot 6 = 270[/tex]

Hope this helped!

Answer:

A) (1 s, 2.3 s)

B) (-4 m/s², 3.8 m/s²)

Step-by-step explanation:

The car's position which is the distance is given by the equation;

s(t) = t³ - 5t² + 7t

A) Velocity is the first derivative of the distance. Thus;

v(t) = ds/dt = 3t² - 10t + 7

At v = 0, we have;

3t² - 10t + 7 = 0

Using quadratic formula, we have;

t = 1 and t = 2.3

Thus, time at velocity of 0 is t = (1 s, 2.3 s)

B) acceleration is the derivative of the velocity. Thus;

a(t) = dV/dt = 6t - 10

At velocity of 0, we got t = 1 and t = 2.3

Thus;

a(1) = 6(1) - 10 = -4 m/s²

a(2.3) = 6(2.3) - 10 = 3.8 m/s

Thus, a(t) at v = 0 gives; (-4 m/s², 3.8 m/s²)

Answer:

412 is not divisible by 3

Answer:

Is 412 divisible by 3?

No

1235453340 is divisible by 2, 4 and 10

Yes

Step-by-step explanation:

Answer:

-no solution-

Step-by-step explanation:

Let's solve your system by elimination.

−6x+2y=−14;−9x+3y=−21

Multiply the first equation by 3,and multiply the second equation by -2.

3(−6x+2y=−14)

−2(−9x+3y=−21)

Becomes:

−18x+6y=−42

18x−6y=42

Add these equations to eliminate y:

0=0

Answer:

Infinitely many solutions.

Let's solve your system by substitution.

−6x+2y=−14;−9x+3y=−21

Step: Solve−6x+2y=−14for x:

−6x+2y=−14

−6x+2y+−2y=−14+−2y(Add -2y to both sides)

−6x=−2y−14

−6x

−6

=

−2y−14

−6

(Divide both sides by -6)

x=

1

3

y+

7

3

Step: Substitute

1

3

y+

7

3

forxin−9x+3y=−21:

−9x+3y=−21

−9(

1

3

y+

7

3

)+3y=−21

−21=−21(Simplify both sides of the equation)

−21+21=−21+21(Add 21 to both sides)

0=0

Answer:

Infinitely many solutions.

If you divide first equation by two and the second by three they are both the same line so there are infinitely many solutions.

Answer:

135

Step-by-step explanation:

you need to explain the actual question and not put an image without context

Answer:

angle a = 70

angle b = 45

angle c = 65

Step-by-step explanation:

Now we will try to find the measure of the unknown angle together. Starting with angle b.

Angle b and 135 make a 180 angle together therefore the following expression.

angle b + 135 = 180

b = 45

Now that we have angle be we can try to find angle a. As we know, vertical angles are always equal to one another. Angle a and 70 are vertical to each other.

a = 70

Now that we have angle a and b we can finally find c. A triangle is the a sum of 180 degrees so, a + b + c = 180

70 + 45 + c + 180

c = 65

Answer: $122.50

Step-by-step explanation:

We know the difference between the time the employee clocked in and clocked out = 1200 - 0800 = 4 hours

The next clock in and out = 17:30 - 12:45 = 4 hours, 45 minutes.

These times combined = 8 hours, 45 minutes

[tex]\frac{45}{60}[/tex] minutes in an hour = [tex]\frac{3}{4}[/tex] of an hour.

The total time worked was 8 [tex]\frac{3}{4}[/tex] hours.

Multiply 8.75 × $14 = $122.50

I am not a professional, simply using prior knowledge.

Note- it would mean the world to me if you could mark me brainliest!

Answer:

=22n+13

Let's simplify step-by-step:

21n+15+n−2

=21n+15+n+−2

Combine Like Terms:

=21n+15+n+−2

=(21n+n)+(15+−2)

=22n+13

Answer:

=22n+13

Answer:

d

Step-by-step explanation:

Answer:

the pink triangle is the answer, just know that each 90° will be the next quadrant.

Answer:

80.48m2

Step-by-step explanation:

I think this is right but it may be wrong.

Answer: Each person will get 3 candy bars

Step-by-step explanation:

The equation would be 26/7. Then, 7 goes into 26 three times with a remainder of 5.

[tex]3\frac{5}{7}[/tex]

Answer:

The equation would be 26/7. Then, 7 goes into 26 three times with a remainder of 5.

Step-by-step explanation:

The equation would be 26/7. Then, 7 goes into 26 three times with a remainder of 5.

E 10 12

x=18*5)14. x=40/4. x=10. y=(15*4)/5 y=60/5 y=12.

resposta : 10 e 12

Answer:

8/24 (eight hours at school out of 24 hours of the day)

0.33 (divide 8 by 24)

33.33% (move the decimal to the right twice.)

I hope that makes sense. If you need more explanation please just comment on this and i will edit it to add what you need. Or i will just comment back. It depends.

The portion of the weekday spent at school as a fraction, a decimal and a percent can be represented as 1/3 or 0.333 or 33.3% respectively.

Fractions are type of numbers which are written in the form p/q, which implies that p parts in a whole of q.

Here p, called the numerator and q, called the denominator, are real numbers.

Given that,

You spend 8 hours each weekday at school.

Total hours in a day = 24 hours

Fraction of the hours spent = 8/24 = 1/3

Decimal of the hours spent = 0.333

Percent of the hours spent = 0.333 × 100 = 33.3%

Hence the portion of a weekday spent at school is 1/3.

Learn more about Fractions here :

https://brainly.com/question/12715980

#SPJ3

Answer:

I am sure that it is  $7220.60

Step-by-step explanation:

If you invested in 5000 you would have that much in your account to withdraw

hope this works for you

Answer:

81

Step-by-step explanation:

25 and 27 are not perfect squares so they can not be the answer.

36 and 81 are both multiples of 3, but only 81 is not even, so the answer is 81

Answer:

It's asking what numbers (or integers) will equal to the number given. so it could be any four numbers that will give you 2174 exactly

Step-by-step explanation:

If this doesn't simplify it enough, let me know

Answer:

Here's your answer.......

.......

Answer:

[tex]Profit = SP - CP[/tex]

Step-by-step explanation:

Given

[tex]S.P = Selling\ Price[/tex]

[tex]C.P = Cost\ Price[/tex]

Required

Represent the profit, mathematically

The profit is the difference between SP and CP.

This is represented as:

[tex]Profit = SP - CP[/tex]

Answer:

4x+9y-36=0

Step-by-step explanation:

Use the slope-intercept form  

y

=

m

x

+

b

 to find the slope  

m

and y-intercept  

b

.

Slope:  

−

4

9

y-intercept:  

(

0

,

4

)

Answer:

(b) 47.10 inch.

Step-by-step explanation:

C = 2πr

C ≈ 2 × 3.14 × 7.5 = 47.1 inches  

Answer:

12.1 years

Step-by-step explanation:

We are given that

Principal amount, P=$3000

Rate of interest, r=6.75%  semi-annually

Amount, A=$6700

We know that

When r pays semi-annually

[tex]A=P(1+\frac{r}{n\times 100})^{nt}[/tex]

Where n=2

Using the formula

[tex]6700=3000(1+\frac{6.75}{200})^{2t}[/tex]

[tex]\frac{6700}{3000}=(1..03375)^{2t}[/tex]

[tex]2.233=(1.03375)^{2t}[/tex]

Taking ln on both sides we get

[tex]ln(2.233)=2t ln(1.03375)[/tex]

[tex]2t=\frac{ln(2.233)}{ln(1.03375)}[/tex]

[tex]t=\frac{1}{2}\times \frac{ln(2.233)}{ln(1.03375)}[/tex]

[tex]t=12.1 years[/tex]

Answer:

there is a 60% chance they pick a blue pencil

Answer:

680 girls and 850 boys

Step-by-step explanation:

the ratio of girls is 4/9

then we can find the number of girls (G) in the group of 1530 students using proportions:

4 / 9 = G / 1530

solving for G by multiplying both sides of the proportion by 1530, we get:

G = 4 * 1530 / 9 = 680

So there were:

680 girls and 1530 - 680 = 850 boys

Answer:

the answer will be

girls 680

boys 850

Answer:

the question is cutoff. please rewrite the question. please write exponents as 6x^2.

Answer/Step-by-step explanation:

✔️A = 180° - (50° + 90°) (sum of triangle)

A = 40°

✔️Find a:

Reference angle = 50°

Opposite = 17

Adjacent = a

Therefore, using trigonometric ratio, we have the following:

Tan 50 = 17/a

a = 17/tan 50

a = 14.3 (nearest tenth)

✔️Find c using Pythagorean Theorem:

c² = a² + b²

c² = 14.3² + 17²

c = √493.49

c = 22.2 (nearest tenth)

Answer:

2 hours to meet each other

Step-by-step explanation:

Answer:

1.5

Step by step explanation: