3 coins are tossed simultaneously. what is the probability of getting 3 heads or 3 tails?

Answer:

n = 4

Step-by-step explanation:

36 = 13n - 4n

<=> 36 = (13-4).n

<=> 36 = 9n

<=> n = 36 / 9

<=> n = 4

Answer:

X is 3

Step-by-step explanation:

15-x=12

X=15-12

X=3

Answer:

101.6cm, no.

Step-by-step explanation:

One foot = 12 inches

Therefore 3 feet = 3x12=36 inches 36+4=40 inches total.

1 inch=2.54cm

40x2.54=101.6cm

So no, unfortunately she cannot go on the ride.

Hope this helped!

Answer:

160 and 161

Step-by-step explanation:

x is the first page and x + 1 is the second page

combine them and you get 2x + 1

2x +1 = 321

this simplifies to

2x = 320

divide by 2

320 = 160

give me brainliest

Step-by-step explanation:

5- 24/6 -8(8)

5-4 -64

-65

Answer:

-63

Step-by-step explanation:

insert in the missing value so it will be

5 - 24/6 - 8*8              you do division and multiplication first

24/60=4  and  8*8=64  so

5 - 4 -64 = negative 63

Answer:

The speed of the boat in still water is 33 km/h

Step-by-step explanation:

Let us denote the speed of the boat in still water as x km/h.

Thus;

Since the speed of the stream is 3 km/h, then while going downstream, the total speed on the boat would be; (x + 3) km/h

Formula for distance = speed x time

Since we are told that the time taken to cover the distance downstream is 5 hours, then;

Distance covered in 5 hours = 5(x + 3) km

Therefore, distance between A and B is 5(x + 3) km

However, while going upstream the boat will work against the water current.

Therefore, its speed upstream will be (x − 3) km/h.

we are told that the time taken to cover the distance downstream is 6 hours, then;

Distance covered in 6 hours = 6(x − 3) km

Therefore, distance between A and B is 6(x - 3) km

The true distance between A and B has to be the same.

So,

5(x + 3) = 6(x - 3)

This gives;

5x + 15 = 6x - 18

15 + 18 = 6x - 5x

x = 33

Therefore, the speed of the boat in still water is 33 km/h

Answer:

90 feet per second.

Step-by-step explanation:

If it moves 540 feet in 6 seconds, than it moves 540/6=90feet per second.

Not sure what the height requirement has to do with this problem or what 'unit rate' is specifically referring to so this may not be the answer you're looking for but I hope this helped anyway!

Answer:

1. Cardinal Number

2. Ordinal number

3. Integer

4. Counting Number

5. Fraction

6. Base

7. Exponent

8. Factor

9. Prime factor

Step-by-step explanation:

A cardinal number is a number denoting quantity.

Ordinal numbers denote position, like first and second.

Integers are all whole numbers that are negative, and positive. It also includes 0.

Counting numbers are only positive integers.

Fractions always consist of a numerator and denominator.

Bases are always the number below the superscript of an exponent

Exponents are always the superscript of an exponent, such as 9^3. 3 would be the exponent.

A factor is a number that evenly divides into another number. For example, 2 and 4 are factors of the number 8.

Prime factors are factors of a number that are prime. Prime numbers are numbers that have the factors as themselves and the number 1. One example of a prime factor is 3. When given the number 9, 3 is a prime number, and factor of 9.

Answer:

x = 4

Step-by-step explanation:

DO + OB = DB

15 + 3x + 7 = 9x - 2

3x + 22 = 9x - 2

3x + 24 = 9x

24 = 6x

4 = x

Answer:

A. 45°

Step-by-step explanation:

m<PSR is given as 99° = m<PSQ + m<QSR

m<PSQ = (3x + 18)°

m<QSR = (9x - 27)°

99 = (3x + 18) + (9x - 27)

Find the value of x using the expression above

99 = 3x + 18 + 9x - 27

99 = 12x - 9

Add 9 to both sides

99 + 9 = 12x

108 = 12x

Divide both sides by 12

9 = x

x = 9

Find m<PSQ

m<PSQ = (3x + 18)°

Plug in the value of x

m<PSQ = 3(9) + 18

m<PSQ = 27 + 18 = 45°

Answer:

25

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

28 - 18 ÷ 2 x 3

Step 2: Multiply

28 - 18 ÷ 6

Step 3: Divide

28 - 3

Step 4: Subtract

25

Answer: 15

Step-by-step explanation:

(28 - 18) ÷ 2 x 3

Step 1. (28 - 18) = 10

Step 2. 10 ÷ 2 = 5

Step 3. 5 x 3 = 15

The answer is 15

Answer:

The expression equivalent are..

3x+y+2x+2+7y

Step-by-step explanation:

here we want to add the variables of the same in this case

3x    1y    

2x     7y   2

__________

5x      8y      2

All the expressions that are equivalent to 5x + 8y + 2 are;

A). 5x + 8y + 2.

B). 5x +y + 4.

C). 5x + 8y + 2

D). 5x + 8y + 2.

Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

Given:

Four equivalent expressions,

A). 3x + y + 2x + 2 + 7y

B). 8x + 4y – 3x + 4 – 3y

C). 2 +12y + x – 4y + 5x

D). 5y + 7 + x – 5 + 4x + 3y

Simplifying,

A). 5x + 8y + 2.

B). 5x +y + 4.

C). 5x + 8y + 2

D). 5x + 8y + 2.

Therefore, A, C, and D are the equivalent expressions.

To learn more about the equivalent expression;

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Answer:

The second place right of the decimal point is the hundredths place. If the next digit is 0 through 4, the hundredths digit remains the same. If the next digit is 5 through 9, the hundredths digit goes up by 1.

a) 7.208 , 7.21 (the 8 causes the 0 to go up to 1)

b) 4.871 , 4.87

c) 0.5609 , 0.56

d) 1.81545 , 1.82 (the 8 causes the 1 to go up to 2)

e) 9.8542, 9.85

Answer:

The equation is 3/10 × s = 162

Alexandra's salary before taxes for the pay period was $540

Step-by-step explanation:

Let

Alexander's salary before taxes

=s

3/10 if Alexander's take home pay is $162 after taxes

3/10 of s = $162

The equation is

3/10 × s = 162

Divide both sides by 3/10

s = 162 ÷ 3/10

= 162 × 10/3

= 1620 / 3

= $540

Alexandra's salary before taxes for the pay period was $540

Any number out of 100 can be quickly converted to percent form by just tacking on the percent sign. This is because "percent" is "per one hundred". Think of 100 cents in a dollar which may help you remember.

So 76/100 = 76%

Answer: 40 comedy 80 action 10 horror

Step-by-step explanation:

Answer:

Option 1

Step-by-step explanation:

Solve each piece individually first.

4 ^(1/2) = 2

The 4th root of 16 is 2 so 2/2 = 1

So we have:

2 * 1 - 10 ÷ 2

Order of operations.

2 * 1 = 2        10 ÷ 2 = 5

2 - 5 = -3

The answer is the first option.

Answer: (-3.5 + (-1.5))

Step-by-step explanation:

Given the expression :

The temperature in the morning was -3.5 °F. By noon, the temperature had dropped by 1.5 °F. Write an addition expression to represent this scenario.

Morning temperature : - 3.5°F

By Noon : change (drop) in temperature

Addition expression to represent the scenario :

A drop in temperature means a further reduction in the initial temperature level :

Addition expression :

(Morning temperature + ( - drop in temperature))

(-3.5 + (-1.5))

Answer:

To find W.

1.2/8.4=w/14.

then cross multiply

which is 14×1.2=8.4w.

16.8=8.4w.

w=2

Answer:

Step-by-step explanation:

Natural numbers are otherwise called counting numbers. Numbers you can count, and excludes Zero.

Whole number is a little extension of natural numbers in that, they contain Zero. So, they're counting numbers including Zero and excluding negative numbers.

Integers are whole numbers in general. They also include negative numbers.

Rational number is a number that can be written as ratio. It can be written as a fraction in which both the denominator and the numerator are whole numbers.

Irrational numbers are very opposite to rational numbers, and can not be written as fractions.

Real numbers are the culmination of both rational and irrational numbers

Answer:

I'm pretty sure the answer to the third question is C

Step-by-step explanation:

We are solving for h(g(x)).

We already know that g(x) is equal to x^2+4.

So know, we can simplify our expression, h(g(x)), to h(x^2+4).

We also know that h(x)=1/x

we simply substitute x for x^2+4, giving us an answer of 1/(x^2+4)

Answer:

23.3333333 miles per hour

23 1/3 miles per hour

10.43093333333333 meters / second

Step-by-step explanation:

Take the distance and divide by the time to find the speed

70 miles / 3 hours

1 mile = 1609.34 meters

1 hours = 3600 seconds

70 miles   /3 hours *  1 mile /1609.34 meters * 1 hours / 3600 seconds

10.43093333333333 meters / second

Step-by-step explanation:

speed is normally measured in unit time meaning either per hour,second,minute etc

therefore for this question you will have to find what it travels per hour

if 70 is in three hours what about one hour

therefore

70/3=23.3'

so the speed will be 23.3miles per hour

(the apostrophe is to show recurring you can also round of and ignore it)

Answer:

(4x−7)⋅(3x+5)

Step-by-step explanation:

Its that because of the steps that you learn

Answer:

yes

Step-by-step explanation:

2+ 5 is 6

Answer:

vol. of triangular prism = lbh/2

vol. of rectangular prism = 18 of vol. of triangular prism

18x = 18 + 14x

4x = 18

x=4.5 ft

so vol. of rectangular prism = 6 × 4 . 5 × 3 = 81 ftcube

Answer:

1.125 =x

Step-by-step explanation:

We can use ratios to find the  time

We want to find the time needed to finish

1 - 2/5 = 3/5  We need the time for 3/5 of the project

3/4 hours        x hours

---------------- = --------------

2/5 project       3/5 project

Using cross projects

3/4 * 3/5 = 2/5 * x

9/20 = 2/5x

Multiply each side by 5/2

9/20 * 5/2 = x

9/8 = x

1 1/8 =x

1.125 =x

Answer:

12 days

Step-by-step explanation:

Set up an equation with y = mx + b, where m is the rate and b is the y-intercept (starting value)

Let x represent how many days it takes and y represent how many pages he read:

445 = 24x + 157

Solve for x:

288 = 24x

12 = x

So, it will take him 12 days to finish the book

Total number of days to complete book is 12 days

Number of pages in book = 445

Number of pages already read = 157

Number of pages read per day = 24

Total number of days to complete book

Total number of days to complete book = [445 - 157] / 24

Total number of days to complete book = 288 / 24

Total number of days to complete book = 12 days

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