Farah rolls a fair dice and flips a fair coin. What is the probability of obtaining a 5 and a head? Give your answer in its simplest form.

Answer:

[tex]\boxed{\bold{\huge{\boxed{x = 26}}}}[/tex]

Step-by-step explanation:

[tex]70 = \frac{4x+36}{2}[/tex]

Multiplying both sides by 2

[tex]70 * 2 = 4x+36[/tex]

[tex]140 = 4x+36[/tex]

Subtracting 36 to both sides

[tex]140 - 36 = 4x[/tex]

[tex]104 = 4x[/tex]

Dividing both sides by 4

[tex]26 = x[/tex]

OR

[tex]x = 26[/tex]

Answer:

x=26

Step-by-step explanation:

[tex]70=\frac{4x+36}{2}\\ 70*2=4x+36\\140=4x+36\\4x=140-36\\4x=104\\\frac{4x}{4}=\frac{104}{4}\\ x=26[/tex]

check

70=(4x+36)/2

70=(4*26+36)/2

70=(104+36)/2

70=140/2

70=70

Answer:

z = 120º

Step-by-step explanation:

t + 2t + t + 2t = 360º

60 + 2(60) + 60 + 2(60) = 360

t = 60

2t = z

z = 120º

This is all based on the fact there there are 360º in a quadrilateral.

Answer:

The correct answer is 63k + 42m.

Step-by-step explanation:

To solve this problem, we must remember how to use the distributive property.  The distributive property tells us that if we have a coefficient outside of the parentheses (in this case, 7), we can multiply each term inside the parentheses by this coefficient and add the products together.  This is modeled below:

7(9k + 6m)

(7*9k) + (7 * 6m)

63k + 42m

Therefore, the correct answer is 63k + 42m.

Hope this helps!

Answer:

186.5 + 2x

Step-by-step explanation:

First, radify 25. Luckily it's a perfect square so it will be 5.

Second, divide within the parentheses. You're expression should look like this.

(93-5+x+42/8)2

Divide 42/8. The decimal form would be 5.25, while the fraction should be 5 1/4.

Third, solve within the parentheses from left to right. Right now you're expression should look like this:

(93-5+x+5.25)2

Add all like terms

93-5+5.25=93.25

Fourth, multiply. Right now the expression should look like this:

(93.25 + x) 2

186.5 + 2x

Answer:

18n^2+120-378

Step-by-step explanation:

18n^2+120-378

The above expression can't be simplified further because the terms aren't like terms.

Hope this helps ;) ❤❤❤

Answer:

18n squared + 120n - 378

4.243 + 120n + 378

124.243 + 378

502.243

Greetings from Brasil...

According to the statement, we can conclude that 1 square (of cheese) has 8in²

The area of a square is given by the expression:

A = S²

where S is the side of the square - just what we want to know

So:

A = S²

8 = S²

√8 = S

Here you go queen/king hope this helps!

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{8 = 8}}}}}[/tex]

Option C is the correct option

Step-by-step explanation:

[tex] \sf{8(2 \div 2) = 2(8 \div 2)}[/tex]

Left hand side ( L.H.S )

⇒[tex] \sf{8(2 \div 2)}[/tex]

Divide 2 by 2

⇒[tex] \sf{8 \times 1}[/tex]

Multiply the numbers : 8 and 1

⇒[tex] \sf{8}[/tex]

Again, Right hand side ( R.H.S )

[tex] \sf{2(8 \div 2)}[/tex]

Divide 8 by 2

⇒[tex] \sf{2 \times 4}[/tex]

Multiply the numbers : 2 and 4

⇒[tex] \sf{8} [/tex]

∴ 8 = 8

Hope I helped!

Best regards!!

The sum of 14 and Vidya's score (v) can be translated into an equation as follows: 14 + v = 43

Let's represent Vidya's score using the variable "v."

In this equation, "v" represents Vidya's score, and the left-hand side of the equation represents the sum of 14 and Vidya's score. The right-hand side represents the value 43, which is the total sum according to the given statement.

To know more about equation:

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Answer:

-5

Step-by-step explanation:

Answer:

-x^2 + 2x + 1

Step-by-step explanation:

Standard form of a polynomial is Ax^2 + Bx + C. (Highest degree to lowest degree)

-x^2 + 2x + 1.

Answer:

wat number put the value there

The required sum of the number m and the number after it 2m + 1.

Given that,
To determine the sum of the number m and the number after it.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Let the number m and the number after m is m+1
Now the sum = m + m + 1
                      = 2m + 1

Thus, the required sum of the number m and the number after it 2m + 1.

Learn more about arithmetic here:

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Answer:65

Step-by-step explanation:

hgjvmd

Answer:

S varies partly directly as M and Q.

S=C.

S=KMQ+C.

For the first one...

speed=80,m=220,Q=30.

80=K20×30+C.

80=600K+C......(I).equation one.

For the second one....

speed=60,m=300,Q=40.

60=K300×40+C.

60=12000K+C.....(ii). equation two.

Minus eqtn(I) from eqtn(ii).

80=600K+C.

- 60=12000K+C.

K=0.01754~0.018.

Substitute K=0.018 into eqtn(I).

80=600K+C

80=600×0.018+C.

80=10.8+C.

C=80-10.8=69.2.

The relation is S=0.018MQ+69.2

when speed is 100 and mass is 250 find the volume.

100=0.018×250×Q+69.2.

100=4.5Q+69.2.

4.5Q=100-69.2

4.5Q=30.8.

Q=30.8/4.5.

Q=6.8~7litres.

Answer:

They will have the same amount of sugar in their canisters in 15 days

Step-by-step explanation:

Here in this question, we are concerned with knowing the number of days in which the amount of sugar in both canisters will be the same.

Since we do not know the number of days it will take, we have to represent it using a variable.

Let the number of days be x days

Now, we are told Li uses 8.4 g per day.

So in x days, the amount user will be 8.4 * x = 8.4x g

Thus, the amount of sugar remaining in her canister after x days will be 128 - 8.4x

For Sue, she uses 12.6 grams each day. So in x days, the amount of sugar used will be 12.6 * x = 12.6x g

So the amount of sugar left in her canister will be 191-12.6x

Since on the xth day , the amount of sugar remaining is same, we can equate the amount of sugar remaining in both canisters. That would be;

128-8.4x =191-12.6x

Collect like terms;

12.6x-8.4x = 191-128

4.2x = 63

x = 63/4.2

x = 15 days

Answer:

3.5 (meters per second)

Step-by-step explanation:

To calculate the slope, we need two points. Let's see if we can select two points from the graph.

From the graph, we can pick out two possible points.

At the beginning, (0,2.5) is a valid candidate.

And at the end, with (5,20). Thus, let's use the slope formula to calculate the slope.

The slope formula is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let (0,2.5) be x₁ and y₁ and let (5,20) be x₂ and y₂. Thus:

[tex]m=\frac{20-2.5}{5-0}[/tex]

Simplify:

[tex]m=\frac{17.5}{5}\\ m=3.5[/tex]

Thus, the slope is 3.5 meters per second.

Further notes:

And the entire equation will be:

[tex]m=3.5s+2.5[/tex]

Answer:18

I hoped it helped

Answer:

you have to use P.E.M.D.A.S

Step-by-step explanation:

Parentesis, Equation, Multiplication,Divied,Add, Subtracting

Step-by-step explanation:

Hey, there!!

To solve this type of equation it is very easy from elimination method,

Here, the given equation are,

-9x+10y = -18..........(i)

3x-y = 6....................(ii)

Let's take LCM to solve for x.

To solve for "x" we must cancel "y".

LCM= 10 { lcm of 1 and 10 is 1}

So, let's multiply equation (ii) by 10 and add them.

Then,

-9x + 10y = -18

30x - 10y = 60

21x = 42 { as +10y and -10y gets cancelled}

[tex]x = \frac{42}{21} [/tex]

Therefore, x= 2.

Substituting the value of x in equation (i)

-9x + 10y = -18

-9 × 2 +10y = -18

-18 + 10y = -18

or, 10y = -18 +18

Therefore, y= 0.

So, the value of x is 2 and y is 0.

Hope it helps...

Answer:

4. 10m+50=200

Step-by-step explanation:

10m meaning hes getting 10 each month that's why the m is there and on too he is getting another 50 which is why you would need to add 50 and obviously a total of 200 is at the end

Answer:

4) 10m+50 = 200

Step-by-step explanation:

As here "m" denotes "month" , Maxs save $10 a month so it is - 10m .

$50 for grandma and he need to save $200.

So we get the equation :

10m+50=200

Answer:

reflection over the line y = x

Step-by-step explanation:

A transformation is the movement of a point from its initial location to its new location. If a shape is transformed then all its points are also transformed. Types of transformations are rotation, translation, dilation and reflection.

If apoint A(x, y) is rotated 90 degrees clockwise around the origin then the new location is at A'(y, -x). Then if the point A'(y, -x) is reflected over the x axis the new location is A" (y, x)

If a point A(x , y) is reflected over y = x, the new coordinate is A'(y , x)

A transformation that corresponds to rotating a shape 90 degrees clockwise around the origin, then reflecting the result over the x-axis is a reflection over the line y = x

I hope this helps you

let's write 2 for x

f(2)=2.2-1

f(2)=4-1

f(2)=3

Answer:

3

Step-by-step explanation:

Answer:3

Step-by-step explanation: because half of 6 eggs are need to make 2 loaves so split that in half and you have 3

Answer:

Step-by-step explanation:

7(y - 3) = 4(3-y)

7y - 21  = 12 - 4y

   +4y        +4y

11y - 21  = 12

   +21       +21

 11y  =  33

  ÷11      ÷11

  y = 3

Answer:

Step-by-step explanation:

Since ∠A and ∠B are complementary angles their angles sum up to 90°.

In order to find ∠B add both ∠A and ∠B and equate them to 90° and solve for ∠B

That's

∠A + ∠B = 90

42 + ∠B = 90

∠B = 90 - 42

We have the final answer as

Hope this helps you

Answer:

∠B = 48°

Step-by-step explanation:

A Complementary angles are total of 90°

If the measure of ∠A is 42°, find the measure of ∠B:

∠A + ∠B = 90°

42° + ∠B = 90°

∠B = 90° - 42°

∠B = 48°

Answer:

[tex]\frac{1}{2}[/tex]x-4

Step-by-step explanation:

Answer:

1/2 (x)-4

Step-by-step explanation:

Hopes this helps

Answer: ∛v

Step-by-step explanation:

Since we know volume is measured height x width x length, we know the equation we'd use here would be:

___ x ___ x ___ =  v in³

If this was area, we would have ___ x ___ = v in², and it would be easy to find each blank. You would just find the square root of "v", making your answer √v.

When you have 3 things multiplied by each other (that are exactly the same, which is the situation here since this is a cube), you will want to find ∛x (if x is our unknown variable). This means that we are finding ONE-THIRD of the number ... sort of. So if x was equal to 8, then ∛x = 2, because 2 x 2 x 2 = 8.

In our situation here, x = v, and since we don't know the actual number, we will keep it as a square root, so the answer to your question is ∛v.

I really hope I was able to explain easy enough, feel free to ask anything else!

Answer:

x must be 0

Step-by-step explanation:

because if there is any point that is on the y axis that would mean that it would be dirrectly on the line and that would be the equivslent of x = 0

Answer:

x = 0

Step-by-step explanation:

If the point (x,y) is on the y-axis, that means the x coordinate is 0.  The point can travel vertically anywhere on the axis, but not left or right of the axis.

Cheers.

Answer:

see below

Step-by-step explanation:

y=6x^2 +2x - 20

a=6  b= 2  c = -20

Quadratic Formula

-b ± sqrt( b^2 - 4ac)

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

   2a

-2 ± sqrt( 2^2 - 4*6(-20))

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

   2*6

-2 ± sqrt( 2^2 - 4*6(-20))

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

   2*6

-2 ± sqrt(484)

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

   2*6

-2 ± 22

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

   12

20/12 = 5/3        -24/12 = -2

solutions are 5/3 and -2

Factoring

0=6x^2 +2x - 20

0 =2( 3x^2 +x - 10)

   =2 ( 3x-5) ( x+2)

Using the zero product property

3x-5 = 0   x+2 = 0

3x=5         x =-2

x = 5/3      x = -2

Completing the square

y=6x^2 +2x - 20

Add 20

20=6x^2 +2x

Divide by 6

20/6 = x^2 +2/6x

10/3 = x^2 +1/3x

Take the coefficient of x and divide by 2

1/3 /2 = 1/6

Square it

(1/6) ^2 = 1/36

Add it to each side

10/3 + 1/36 = x^2 +1/3x+ 1/36

120/36 + 1/36  = ( x+ 1/6) ^2

121/ 36= ( x+ 1/6) ^2

Take the square root of each side

sqrt(121/ 36) = sqrt( ( x+ 1/6) ^2)

±11/6 = x+1/6

Subtract 1/6 from each side

-1/6 ±11/6 = x

-1/6 - 11/6 = x      -1/6 + 11/6 = x

-12/6 =x                10/6 =x

-2 =x                         5/3 =x

Graphing

Answer: and Step-by-step explanation:

y=6x² +2x - 20

let a=6  

let b= 2

let c = -20

Using Quadratic Formula by hand Using Factoring and the Zero Property Product Using Completing the Square Using Graphing on the Calculator

using Quadratic Formula

-b ± √( b² - 4ac)

             2a

-2 ± √( 2² - 4*6(-20))

             2*6

-2 ± √( 2² - 4*6(-20))

              2*6

-2 ± √(484)

       2*6

20/12 = 5/3      

-24/12 = -2

the answers are 5/3 ;  -2

use by Factoring

0=6x² +2x - 20

0 =2( 3x² +x - 10)

   =2 ( 3x-5) ( x+2)

by using the zero product property

3x-5 = 0

x+2 = 0

3x=5        

x =-2

x = 5/3    

x = -2

by using completing the square

y=6x² +2x - 20   Add 20

20=6x² +2x        Divide by 6

20/6 = x² +2/6x

10/3 = x^2 +1/3x    Take the coefficient of x and divide by 2

1/3 /2 = 1/6             Square it

(1/6) ² = 1/36        Add it to both side s

10/3 + 1/36 = x² +1/3x+ 1/36

120/36 + 1/36  = ( x+ 1/6)²

121/ 36= ( x+ 1/6)²  Take the square root of both side

√(121/ 36) = √( ( x+ 1/6)²)

±11/6 = x+1/6          Subtract 1/6 from both side

-1/6 ±11/6 = x

-1/6 - 11/6 = x      

-1/6 + 11/6 = x

-12/6 =x                

10/6 =x

x = -2  

x = 5/3

by using a graphing computer