Daniel started a video game with 30 tokens. He earned 8 more tokens 0/10
for jumping on a star, but lost 6 tokens for falling into a hole. When he
passed a checkpoint, his number of tokens doubled! Then he spent20
tokens to buy a flashlight. Which expression shows how many tokens he
has left?

2x(30+8-6-20)

2x(30+8)-(20-6)

2x30+8-6-20

2x(30+8-6)-20

Answer:

There are 28 red marbles and 56 green marbles in the bag.

Step-by-step explanation:

Let's define:

R = number of red marbles in the bag.

G = number of green marbles in the bag.

We know that:

"There is a total of 84 marbles in the bag"

Then we can write this as:

R + G = 84

"The bag has twice as many green marbles as red marbles"

Then:

G = 2*R

So we have two equations:

R + G = 84

G = 2*R

This is the system of equations we need to solve.

To solve this, we usually start by isolating one of the variables in one of the equations, here we can see that G is already isolated in the second equation, then we can ignore the first step.

Now that we have an isolated variable, we can replace it in the other equation, then we can replace the second equation in the first one to get:

R + G = 84

R + (2*R) = 84

3*R = 84

R = 84/3 = 28

This means that there are 28 red marbles in the bag.

Now we can use the equation:

G = 2*R

To find the number of green marbles, where we need to replace R y 28, then we get:

G = 2*28 = 56

Which means that there are 56 green marbles.

Answer:

21.45 ft (nearest hundredth)

Step-by-step explanation:

Let P be the spot where the basketball player is standing, B be the base of the hoop and H be the top of the high hoop.

Please see the attached picture for the full solution.

Answer:

P(not landing on blue section)=2/3

Step-by-step explanation:

Not landing on blue section = landing on one of the other sections

the remaining sections are 2 each one has a P=1/3

2 × 1/3 = 2/3

Answer:

66%

Step-by-step explanation:

2 divided by 3= 0.666666666 which is then converted to percent (66%)

Step-by-step explanation:

w = 4

y = 4√2

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Answer:

264ft³

Step-by-step explanation:

2[(8*6)+(6*12)+(12*8)]

=264

Answer:

Step-by-step explanation:

think it would be b

The graph is shown in the attached image.

The graph of the line is a straight line with points on are: (0, -9), (3, -5) and (6, -1).

Given that a line has a slope of 4/3 and the y-intercept is -9, we need to graph the line,

To graph the line with a slope of 4/3 and a y-intercept of -9, we can use the slope-intercept form of a linear equation, which is y = mx + b.

Here, the slope (m) is 4/3, and the y-intercept (b) is -9.

Start by plotting the y-intercept, which is the point (0, -9).

Next, use the slope to determine the direction of the line. The slope 4/3 means that for every 4 units you move up, you need to move 3 units to the right.

So, from the y-intercept (0, -9), move up 4 units and then move to the right 3 units to find the next point on the line. This point would be (3, -5).

Repeat this process to find more points on the line. Move up 4 units and to the right 3 units from the previous point (3, -5) to get (6, -1).

You can continue this process to find more points if desired.

Once you have a few points, connect them with a straight line to graph the line.

The graph of the line with a slope of 4/3 and a y-intercept of -9 is attached in the solution.

Learn more about Linear equations click;

https://brainly.com/question/29111179

#SPJ4

Answer:

Uninsured motorist bodily injury, or UMBI, pays for medical bills, pain and suffering, lost wages if you can't work after an accident and funeral expenses after a crash with an at-fault driver who doesn't have car insurance. It may also cover you if you're hit as a pedestrian or while riding your bike.

Step-by-step explanation:

Answer:

1. B

2. = 4,8,12,16,20

Step-by-step explanation:

Answer:

The First Answer is B.

Answer: [tex]\dfrac{76}{89}[/tex]

Step-by-step explanation:

The pool of rats from which the researcher is drawing participants is composed of the following:

23 male albino rats

21 male spotted rats

35 female albino rats

11 female spotted rats

Total rats = 23+21+35+11 =90

[tex]P(male\ albino)=\dfrac{23}{90}[/tex]

After drawing first rat , total rats remained = 89

[tex]P(\text{either a female albino rat or a male spotted rat})=\dfrac{35+21}{89}=\dfrac{76}{89}[/tex]

The probability of choosing a male albino rat and then either a female albino rat or a male spotted rat = [tex]\dfrac{76}{89}[/tex]

Hi there!

[tex]\large\boxed{UV = 13}[/tex]

Since U and V are midpoints of the legs, then UV is the average of both WX and ZY.

Therefore:

(ZY + WX)/2 = UV

Substitute in the given expressions:

[(6x + 5) + (x + 7)]/2 = 8x - 3

Simplify by combining like terms:

(7x + 12)/2 = 8x - 3

Multiply both sides by 2:

7x + 12 = 16x - 6

Subtract 7x from both sides and add 6 to both sides:

18 = 9x

Divide both sides by 9:

18/9 = x

x = 2.

Plug in this value of x into the equation for UV:

8(2) - 3 = 16 - 3 = 13.

Answer:

Step-by-step explanation:

c=a2+b2−−−−−−√

a=182+152−−−−−−−−√

c=324+225−−−−−−−−√

c=549−−−√

c=23.4307

Answer:

x = 17

Step-by-step explanation:

Formula:

a² + b² = c²

8² + 15² = c²

64 + 225 = c²

c² = 289

[tex]\sqrt{c^2} =\sqrt{289}[/tex]

c = 17

Answer:

X = 9,X= -5, a =  2, b = -13

Step-by-step explanation:

For (1),

Using Cross-factorization,

it can be reduced to (X - 9)(X + 5) = 0

Equate each factor to 0:

we have X = 9 and X = -5

For (2),

It is the case of completing the Square,

add 4 so we get the completed square ( we want the form X^2 + 2a + a^2)

(X^2 + 4X + 4) - 9

can be simplified to (X+2)^2 -9

However since we added 4 it means we have to subtract 4

So it becomes (X+2)^2 -9 -4

= (X+2)^2 -13

Answer:

C

Step-by-step explanation:

I saw em in other ones

Answer:

250

Step-by-step explanation:

100 / 22 = 4.54545455

4.54545455 x 55 = 250

Answer: 250

Step-by-step explanation:

Ur welcome

(55x100)/22

Answer:10*25=250

Step-by-step explanation:

Answer:

45535

Step-by-step explanation:

Answer:

45415

Step-by-step explanation:

Answer:

NO you only got 70 percent

Step-by-step explanation:

Answer:

800 × ( 3.87÷ 100 ) × 1

= 30.96

Answer

A triangle can be constructed if we are given 2 sides and an angle. For these ... AB=4 cm, Angle A =30˚, AC=5 cm. 2.) BC=3 cm, Angle B=80˚, BA=6 cm ... Angle A=20˚, AC=6.5 cm, Angle C=90˚ ... Angle A=25˚, Angle B=120˚, Angle C=35˚.

Step-by-step explanation:

Answer:

(195.733, 197.547)

Step-by-step explanation:

Given that:

Mean, m = 196.64 K

Standard deviation, s = 0.66 K

Sample size, n = 6

Confidence interval :

Mean ± margin of error

Margin of error =Tcritical * s/sqrt(n)

Tcritical at α = 98% ; df = 6 - 1 = 5

Tcritical = 3.3648

Margin of Error = 3.3648 * 0.66/sqrt(6) = 0.9066

Confidence interval = 196.64 ± 0.9066

Lower boundary = 196.64 - 0.9066 = 195.733

Upper boundary = 196.64 + 0.9066 = 197.547

(195.733, 197.547)

Given the measurement :

X = 196.35, 196.32, 196.4 198.02, 196.36, 196.39

Mean = ΣX / n = 1179.84 / 6 = 196.64

Yes, confidence interval will be valid as theean obtained is within the calculated interval

Answer:

Around 5.5 or 5 1/2

Step-by-step explanation:

Answer:

y = 10x + 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the equations of the following line

K: x+2y=6

P: 6x + 3y=12

M: -x+ 2y=10

First we need to get the slpe of each line as shown;

For K:

K: x+2y=6

Rewrite in standard form;

2y = -x + 6

y = -1/2 x + 6/2

y = -1/2 + 3

Slope of K is -1/2

For P:

P: 6x + 3y=12

Rewrite;

3y = -6x + 12

y = -6/3 x + 12/3

y = -2x + 4

Slope of P is 2

For M;

M: -x+ 2y=10

Rewrite

2y = x + 10

y = 1/2 x + 10/2

y = 1/2 x + 5

Slope of M is 1/2

Taking the product of slope K and P

Mk * Mp = -1/2 * 2

Mk * Mp = -1

Since the slope of K and P is -1, hence line M and line P are perpendicular

Answer:

y=3x+19

Step-by-step explanation:

x=3

(-4,7)(x,y)

y-7/x_-4=3

y-7=3(x+4)

y=3x+12+7

y=3x+19

Step-by-step explanation:

here you have the answer

Answer:

B. 20/5 = BC/4

Answer:

The slope of the line is ⁸/₅, or 1.6

Step-by-step explanation:

Slope is equal to Δy/Δx, so we have:

(1 - (-3)) / (5 / 2)

= 4 / 2.5

= 8 / 5, or 1.6