A slot machine has three slots; each will show a cherry, a lemon, a star, or a bar when spun. The player wins if all three slots show the same three items. a. How many simple events are in the sample space

Answer:

[tex] \frac{25}{39} [/tex]

Step-by-step explanation:

[tex]\frac 13,~\frac 27,~\frac 3{10},~\frac 4{13},~\frac 5{17}~?[/tex]

Convert them to fractions with their L.C.D (lowest common denominator)

[tex]\frac {15470}{46410},~\frac {13260}{46410},~\frac {13923}{46410},~\frac {14280}{46410},~\frac {13650}{46410}~?[/tex]

hence the two largest are

[tex] \frac{1}{3} \: and \: \frac{4}{13} [/tex]

[tex] \frac{1}{3} + \frac{4}{13} = \frac{25}{39} [/tex]

Answer:

whats the question love?

Step-by-step explanation:

Answer:

[tex]\huge \boxed{(x+7)^2 }[/tex]

Step-by-step explanation:

The quantity x + 7 is squared.

[tex](x+7)^2[/tex]

Expand the brackets and simplify the expression.

[tex](x+7)(x+7)[/tex]

[tex]x(x+7)+7(x+7)[/tex]

[tex]x^2 +7x+7x+49[/tex]

[tex]x^2 +14x+49[/tex]

We can leave the expression in factored form.

Answer:

( X+7 ) ^ 2

Step-by-step explanation:

=X ^ 2+ 2 x 7 x X + 7 ^ 2

= X^2 +14X +49

Multiply both sides of the second equation by 100 to get rid of the decimals:

0.05n + 0.10d = 1.50

==>  5n + 10d = 150

Multiply both sides of the first equation by -5:

n + d = 21

==>  -5n - 5d = -105

Add the two equations together:

(5n + 10d) + (-5n - 5d) = 150 + (-105)

Notice that the terms containing n get eliminated and we can solve for d :

(5n - 5n) + (10d - 5d) = 150 - 105

5d = 45

d = 45/5 = 9

Plug this into either original equation to solve for n. Doing this with the first equation is easiest:

n + 9 = 21

n = 21 - 9 = 12

So Donna used 12 nickels and 9 dimes.

Answer: 1/3

Multiply

1×2=2

5×3=15

= 2/15

2×1=2

5×2=10

= 2/10

Simplify

2/5 = 2/15

2/10 = 1/5

Add

2/15 + 1/5 = 1/3

Answer:

[tex] \boxed{ \huge{ \boxed{ \bold{ \sf{ \blue{ \frac{1}{3} }}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ \frac{1}{5} \times \frac{2}{3} + \frac{2}{5} \times \frac{1}{2} }[/tex]

Multiply the fractions

⇒[tex] \sf{ \frac{1 \times 2}{5 \times 3} + \frac{2 \times 1}{5 \times 2} }[/tex]

⇒[tex] \sf{ \frac{2}{15} + \frac{2}{10} }[/tex]

Take the L.C.M of 15 and 10

⇒[tex] \sf{ \frac{2 \times 2 + 2 \times 3}{30} }[/tex]

Multiply the numbers

⇒[tex] \sf{ \frac{4 + 6}{30} }[/tex]

Add the numbers

⇒[tex] \sf{ \frac{10}{30} }[/tex]

Reduce the numbers with 10

⇒[tex] \sf{ \frac{1}{3} }[/tex]

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How can we find the L.C.M ( Least Common Multiple )?

https://brainly.com/question/17208712

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Hope I helped!

Best regards!

Answer:

The number is 3

Step-by-step explanation:

Let the number be x

Four times a number = 4 *x = 4x

Three more than four times a number = 4x + 3

4x +3 = 15

Subtract 3 from both sides

4x + 3 - 3 = 15 -3

            4x = 12

Divide both sides by 4

           4x/4x = 12/4

x = 3

Answer:

So the sequence of the five numbers are;

10,26,74,218,650

Step-by-step explanation:

In this question, we are interested in building a sequence of 5 numbers given the initial term.

Okay, to build this sequence, we will need to look at the rule that guides the building of the new sequence:

The rule is that the next term is 4 less than 3 times the previous term.

Okay, let’s call the next term y, while the previous term is x.

Following what was specified in the question;

y = 3x -4

Recall; the next term(y) is 4 less (-4) than 3 times (3 multiplied by) the previous term (x)

So let’s start with the initial term of 10.

The next term will be;

y = 3(10) -4 = 30-4 = 26

The next term after 26 will be ;

y = 3(26) -4 = 78-4 = 74

The next term after 74 will be;

y = 3(74) -4 = 222-4 = 218

The next term after 218 will be;

y = 3(218) -4 = 650

Answer:

Step-by-step explanation:

Given the rate at which a dwarf sea horse swims expressed as 49.68 feet per hour, to convert the speed to inches per minutes, the following conversion factors must be used.

1 foot = 12inches and 1 hour = 60 minutes

49.68 feet per hour can also be written as [tex]\dfrac{49.68* 1 ft}{1 hour}[/tex]

On conversion:

[tex]= \dfrac{49.68* 1 ft}{1 hour} * \dfrac{1 hour * 12 in}{1 ft * 60min} \\\\= \dfrac{49.68* 12in}{60 min} \\\\= \dfrac{596.16in}{60 min}\\\\= 9.936 in/min[/tex]

Hence the speed expressed in inches per minute is 9.936in/min

Answer:

0.44 seconds

Step-by-step explanation:

Time period is the time duration for completing one oscillation:

Answer is 0.44 seconds

Step-by-step explanation:

The Time period of pendulum (T) is

T=46/20

T=2.3s

Answer:

x = 40

Step-by-step explanation:

x/8 - 5/2 =5/2

x/8 = 10/2

x/8 = 5

x  = 40

Answer:

[tex]\Huge \boxed{x = 40}[/tex]

Step-by-step explanation:

x/8 - 5/2 = 5/2

Add 5/2 to both sides of the equation.

x/8 - 5/2 + 5/2 = 5/2 + 5/2

Simplify the equation.

x/8 = 10/2

x/8 = 5

Multiply both sides of the equation by 8.

(8)x/8 = (8)5

x = 40

Answer:

umm I'm not pretty sure but i say 7

Using proportions, it is found that 14 students are boys, option C.

-----------------------------

2 boys - 5 students

x boys - 35 students

Applying cross multiplication:

[tex]5x = 2 \times 35[/tex]

[tex]5x = 70[/tex]

[tex]x = \frac{70}{5}[/tex]

[tex]x = 14[/tex]

14 students are boys, option C.

A similar problem is given at https://brainly.com/question/24112433

Answer:

= -7/2

Step-by-step explanation:

What the equation is saying is that 9 - 4x = 23.

x means some number we don't know, but the value of x should be able to satisfy 9 - 4x = 23

In order to find what x may be we must separate it so it is by itself.

First we subtract 9 from both sides,

9 - 9 - 4x = 23 - 9

-4x = 14

Now we divide both sides by -4 to get x,

-4x/-4 = 14/-4

x = -14/4 = -7/2

Answer:

x= -3.5 or x=-7/2

Step-by-step explanation:

We are given the equation:

23 = 9 - 4x

We want to solve for the variable, x. Therefore, we must isolate x on one side of the equation.

First, let's rearrange the equation.

23 = 9 -4x

23= -4x +9

9 is being added to -4x. The inverse of addition is subtraction. Subtract 9 from both sides of the equation.

23-9= -4x +9-9

23-9= -4x

14 = -4x

-4 and x are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by -4.

14/-4= -4x/-4

14/-4= x

-7/2=x

-3.5=x

Let's check our solution. Plug -3.5 in for x and solve.

23=9-4x    (x=-3.5)

23= 9-4(-3.5)

23= 9- -14

23= 9+14

The statement above is true, so we know our solution is correct.

The solution to the equation is x= -3.5 or x= -7/2

Answer: 5.6%

Step-by-step explanation:

Actual Value observed=2.850 g/cm3

Expected value=2.699 g/cm3

Error =Actual value - expected value

         = 2.850-2.699

Error  = 0.151

Error percent = [tex]\frac{Error}{Expected Value} 100%[/tex]%

                     =[tex]\frac{0.151}{2.699} *100\\0.056*100\\5.6[/tex]

The student's percent error ​is 5.6%

Answer:

[tex]d = 100-25t[/tex]

Step-by-step explanation:

Let's use basic logic here.

If we are 100 miles away from a place, and we've got 25 miles to go, we've already travelled 75 miles.

Since we've travelled 75 miles in 3 hours, then we travel at a rate of [tex]75\div3=25[/tex] miles per hour.

The distance to City A will be represented as 100 - miles already travelled. We  can find how many miles have been travelled by multiplying 25 by [tex]t[/tex], the amount of hours we've spent driving.

This creates the equation [tex]d = 100 - 25t[/tex]

Hope this helped!

Answer:

Third option

Step-by-step explanation:

The first definition is not as broad as it should be, therefore, while an angle does meet that criteria, it's not a general definition, hence, it is incorrect. The second one is incorrect as well because a parabola has a vertex, and it is certainly not an angle. This definition is not specific enough, so it will be eliminated. The last one is again, too specific. The third one is the best answer because it is broad enough while still being specific.

Answer: Add  3.26 d  and  9.75 d . 13.01 d − 2.65

Step-by-step explanation:

Answer:

13.01d-2.65

Step-by-step explanation:

Since you have to simplify it you have to get rid of them so just add 3.26d+9.75 and you get 13.01d and the  minus 2.65

Answer:

x ≤ -15

Step-by-step explanation:

-x / 3 ≥ 5

multiply by 3

-x ≥ 15

add x to both sides and subtract 15 from both sides

-15 ≥ x or x ≤ -15

Answer:

team loss after three games is 5.

Step-by-step explanation:

we will use positive sign for gain and negative sign for loss.

Given

Jim's team gained 7 yards on the first play

gain of yards = +7

lost 2 yards on the second play

loss of yards = -2

lost 10 yards on the third play

loss of yards = -10

Total yards gain or lost by Jim's team = +7 + (- 2) + ( - 10)

Total yards gain or lost by Jim's team = +7 -2 -10 = -5

sine sign is negative, it means there is loss and the net loss is 7 yards.

Thus, team loss after three games is 5.

Answer:

486 cubic feet

Step-by-step explanation:

This question is trying to trick you, by including 6 inches. Convert 6 inches into 0.5 feet to make the question easier. Now, all you have to do is multiple 81 x 12 x .5 to get the answer of 486 cubic feet of concrete.

Answer:

576

Step-by-step explanation:

"(15+12)−3 to the 2 power" can be rewritten, symbolically, as:

[ (15+12) − 3 ]^2, or

[ 27 - 3 ]^2, or

24^2, or 576

Answer:

it is 18

Step-by-step explanation:

Answer:  The common difference is  8

Step-by-step explanation:

First Use the formula for the second to generate the first two numbers.

[tex]u_{n}[/tex] = 2^3n-2  

Put in 1 for the first term and you will get 2 and the second term is 16 and to get from 2 to 16 you will multiply by 8.

Answer:

The range of time it would take the plane to be in the instructed area is 2.5 minutes to 4 minutes.

Step-by-step explanation:

The given parameters are;

The current altitude of the plane = 33,000 feet

The required altitude of the plane = Below 31,000 or above 35,000 feet

The average climbing speed of the plane = 800 feet per minute

The average descending speed of the plane = 500 feet per minute

The difference in the current and required altitudes are;

For climbing we have  35,000 feet - 33,000 feet = 2,000 feet

For descending we have  33,000 feet - 31,000 feet = 2,000 feet

Speed = Distance/Time

∴ Time = Distance/Speed  

Based on the climbing and descending rate, we have;

The time it would take to climb 2,000 feet is t = 2000 feet/(800 feet/minute) = 2.5 minutes

The time it would take to descend 2,000 feet is t = 2000 feet/(500 feet/minute) = 4 minutes

The range of time it would take the plane to be in the instructed area is therefore;

Time for descending to time for ascending, which is 2.5 minutes to 4 minutes.

The range of time it would take the plane to be in the instructed area = 2.5 minutes to 4 minutes.

Answer:

59,000

Step-by-step explanation:

123,456-64,456=59,000

Answer:

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question the equation is

- 5x + 10y = 20

To find the slope we must first write the equation in the form above

- 5x + 10y = 20

Move - 5x to the right side of the equation

10y = 5x + 20

Divide both sides by 10

We have

[tex]y = \frac{5}{10} x + \frac{20}{10} [/tex]

[tex]y = \frac{1}{2} x + 10[/tex]

Comparing with the general form of equation above

Slope / m = 1/2

Hope this helps you

Answer:

[tex] \boxed{\sf C. \ 161 ^{ \circ}} [/tex]

Step-by-step explanation:

Opposite angles are also congruent angles, meaning they are equal or have the same measurement.

[tex] \sf \implies \angle VYZ = \angle WYT \\ \\ \sf \implies(8x + 1) ^{ \circ} = (9x - 19)^{ \circ} \\ \\ \sf \implies 8x^{ \circ} + 1^{ \circ} = 9x^{ \circ} - 19^{ \circ} \\ \\ \sf \implies 8x^{ \circ} - 9x^{ \circ} + 1^{ \circ} = - 19^{ \circ} \\ \\ \sf \implies - x^{ \circ} = - 19^{ \circ} - 1^{ \circ} \\ \\ \sf \implies \cancel{ -} x^{ \circ} = \cancel{- }20^{ \circ} \\ \\ \sf \implies x^{ \circ} = 20^{ \circ} [/tex]

[tex] \therefore[/tex]

[tex] \sf \implies \angle VYZ =(8x + 1) ^{ \circ} \\ \\ \sf \implies \angle VYZ =(8 \times 20 + 1) ^{ \circ} \\ \\ \sf \implies \angle VYZ =( 160+ 1) ^{ \circ} \\ \\ \sf \implies \angle VYZ =161 ^{ \circ} [/tex]

Answer: -8=r

Step-by-step explanation:

Answer:

r= -9

Step-by-step explanation:

We are given the equation:

-11 = r+ (-2)

If we want to solve for r, we must isolate r on one side of the equation.

Let's simplify the right side. A + - can just be written as -

-11= r-2

2 is being subtracted from r. The inverse of subtraction is addition. Add 2 to both sides of the equation.

-11 + 2= r-2+2

-11+2=r

-9=r

r=-9

Let's check our solution. Plug -9 in for r and solve.

-11= -9 + (-2)

-11= -11

This checks out, so we know our solution is correct.

The solution to the equation -11=r+(-2) is r=-9

Answer:

Step-by-step explanation:

Cross multiply

That's

4( 2x - 5) = 12( x + 2)

Expand the terms in the bracket

That's

8x - 20 = 12x + 24

Group like terms

8x - 12x = 24 + 20

- 4x = 44

Divide both sides by - 4

We have the final answer as

Hope this helps you

Answer: x = -11

Step-by-step explanation:

First Cross product  to reduce it

4(2x-5) = 12(x+2)   Now apply the distributive property on each sides and solve for x.

8x - 20 = 12x + 24   Add 20 to both sides

     +20           +20

8x = 12x +44        subtract 12x from both sides

-12x    -12x

-4x = 44                  Divide both sides by -4

x = -11  

Answer:

u = 7

Step-by-step explanation:

-21 + 7u = 28

add 28 to both sides

7u = 49

divide by 7

u = 7

Answer:U=7

Step-by-step explanation:

Answer: 12 is the greatest common factor.

Step-by-step explanation:

Answer:

The answer is 14

Step-by-step explanation:

Answer:

Hope it helps!

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