You pick one card from a standard deck of 52 cards. What is the probability that the card will be a two?

Answer:

x = - 5

Step-by-step explanation:

Given

f(x) = - 4x - 10 and f(x) = 10, the equate right sides, that is

- 4x - 10 = 10 ( add 10 to both sides )

- 4x = 20 ( divide both sides by - 4 )

x = - 5

Answer:

She will need 1/6 of a cup of sugar to make 1/4 of the recipe.

Step-by-step explanation:

Write and solve an equation of ratios. On the left side we have the ratio of the fraction of the recipe and on the right that of the amount of sugar in each case:

1 recipe      2/3 cup

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

1/4 recipe         x

Cross multiplying gives us:

1x = (1/4)(2/3), or

x =2/12 or 1/6

She will need 1/6 of a up of sugar to make 1/4 of the recipe.

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

K is the midpoint of J and L, so

JK = KL.

[tex]5x-3=3x+1[/tex]

Add 3 to both sides:

[tex]5x-3+3=3x+1+3[/tex]

[tex]5x=3x+4[/tex]

Subtract 3x from both sides:

[tex]5x-3x=3x+4-3x[/tex]

[tex]2x=4[/tex]

Divide 2 on both sides:

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

[tex]x=2[/tex]

Answer: 21.44 miles

Step-by-step explanation:hope it helps!

Answer:

  (1, 5)

Step-by-step explanation:

The midpoint of a line segment has coordinates that are the average of the end-point coordinates.

  M = (X + Y)/2 = ((-3, 4) +(5, 6))/2 = (-3+5, 4+6)/2 = (2, 10)/2

  M = (1, 5)

The midpoint is (1, 5).

Answer: 8x2y2−15x2y+xy2+5y

Step-by-step explanation: option B or D i cant really see the screen, sorry

Answer:

  (-4, 0)

Step-by-step explanation:

You can plot the points and choose the one that looks like it's in the right place for a reflection across the line. The line of reflection will be the perpendicular bisector of the segment between R and its image.

In the attached plot, we see that the third choice (point C) is the desired image of R.

Perimeter of rectangle = 26

Length is 7 less than 9 times the width.

We have to find the width of rectangle[tex].[/tex]

_________________________________

Let, width of rectangle be x therefore length of rectangle will be (9x - 7)

We know that, perimeter of rectangle is given by

⇒ perimeter = 2 (l + b)

⇒ 26 = 2 [(9x - 7) + x]

⇒ 13 = x + 9x - 7

⇒ 20 = 10x

⇒ x = 2 (width)

Step-by-step explanation:

Let breadth be x

As it is given that, the Length is 7 less than 9 times :

Therefore, Length will be 9x - 7

Perimeter of reactangle = 26

➳ 2 ( Length + Breadth) = 26

➳ 9x - 7 + x = 26/2

➳ 10x = 13 + 7

➳ 10x = 20

➳ x = 2

Therefore,

Answer:

a=18

Step-by-step explanation:

The value of a or m is 18 in the linear equation, y = 5x - 2.

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

The table represents a linear function.

The data is given in the attached image.

The general equation of the linear function is,

y = ax+b.

Where a is the slope and b is constant.

By using the first and the third points from the table to find the equation of the linear function,

When x = 3  and y = 13,

13 = 3a+b      {equation 1}

When x = 5 and y = 23

23 = 5a+b      {equation 2}

Solving the system of equation,

we get,  

a = 5  and b = -2

So, the equation is,

y = 5x - 2

Now, x = 4

Then y = m = 20 - 2 = 18

Therefore, the value of m is 18.

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Answer:

         n = 12

Step-by-step explanation:

     -8 = 16 - 2n

2n -8 = 16 -2n + 2n    (both side add 2n)

2n -8 + 8= 16 +8         (both side add 8)

          2n = 24

            n = 12

Answer:

-3

Step-by-step explanation:

23=-5x+8

23-8=-5x

15=-5x

x=-3

Answer:

x=-3

Step-by-step explanation:

23=-5x+8

-8 -8

15=-5x

______

-5 -5

-3=x

Answer:

[tex]d = \sqrt{13}[/tex]

Step-by-step explanation:

Use the Distance Formula to help you determine the distance between the two following points:

-Distance Formula:

[tex]d = \sqrt{(x_{2} - x_{1})^2 + ( y_{2} - y_{1})^2}[/tex]

(where [tex](x_{1}, y_{1})[/tex] represents the first point and [tex](x_{2}, y_{2})[/tex] represents the second point)

-Apply the two following points onto that equation:

[tex]d = \sqrt{(7 - 5)^2 + (6 - 3)^2}[/tex]

[tex](x_{1}, y_{1}) = (5, 3)[/tex]

[tex](x_{2}, y_{2}) = (7, 6)[/tex]

-Solve the equation:

[tex]d = \sqrt{(7 - 5)^2 + (6 - 3)^2}[/tex]

[tex]d = \sqrt{2^2 + 3^2}[/tex]

[tex]d = \sqrt{4 + 9}[/tex]

[tex]d = \sqrt{13}[/tex]

So therefore, the distance is [tex]\sqrt{13}[/tex].

Answer:

Step-by-step explanation:

c=70t+150

Answer:

1

Step-by-step explanation:

Just replace 0 instead of x and simplify.

The required value of h(0) is 1.

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

Now the given function is,

h(x) = -x + 1

To find the value of h(0), put x= 0 in the given equation

⇒ h(0) = -0+ 1

Since, -0+ 1= 1

∴We obtain,

h(0) = 1

which the required value of h(0).

Hence,the required value of h(0) is 1.

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Answer:

Kelly owes $16.5

Greg owes $33

Joe owes $64.5

Step-by-step explanation:

Let

Kelly's portion = x

Greg's portion = 2x

Joe's portion = 4x - 1.50

Total bill = $114.00

Total bill = Kelly's portion + Greg's portion + Joe's portion

114 = x + 2x + (4x - 1.50)

114 = 3x + 4x - 1.50

114 = 7x - 1.50

Add 1.50 to both sides

114 + 1.50 = 7x - 1.50 + 1.50

115.5 = 7x

Divide both sides by 7

x = 115.5 / 7

= 16.5

x = $16.5

Kelly's portion = x

x = $16.5

Greg's portion = 2x

= 2 × 16.5

= $33

Joe's portion = 4x - 1.50

= 4(16.5) - 1.50

= 66 - 1.50

= $64.5

Therefore,

Kelly owes $16.5

Greg owes $33

Joe owes $64.5

Answer:

C. -13

Step-by-step explanation:

Solve for g(x) by replacing x with each domain value in the set. Solving for g(x) will give you these numbers:

{20, 2, -4, -13}

-13 is the only value that appears in the range set and in the multiple choice solutions. Therefore, the answer is C. -13

C. [tex]-13[/tex] is a corresponding range value.

The domain of a function refers to the set of all values for which the function is defined.

The range is the set of all values that function takes for the given values of domain.

Domain is [tex]\boldsymbol{\left \{ -8,-2,0,3 \right \}}[/tex]

[tex]g(x)=-3x-4[/tex]

[tex]g(-8)=-3(-8)-4[/tex]

         [tex]=20[/tex]

[tex]g(-2)=-3(-2)-4[/tex]

         [tex]=2[/tex]

[tex]g(0)=-3(0)-4[/tex]

       [tex]=-4[/tex]

[tex]g(3)=-3(3)-4[/tex]

       [tex]=-13[/tex]

Range is [tex]\boldsymbol{\left \{ 20,2,-4,-13 \right \}}[/tex]

So, [tex]\boldsymbol{-13}[/tex] is a corresponding range value.

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The difference between the highest and lowest temperature is 85°F.

Answer: 139F

Step-by-step explanation: You take 112F, and add negative which is -27F and you get the difference.

Answer:

-8.4

Step-by-step explanation:

Because if you want to find the opposite of a number then you find that same number on the other side on the number line for example, -4.5 you would go on the other side and you would get positive 4.5

Answer:

If you're refering to the additive inverse then it's, -8.4

Step-by-step explanation:

To get an additive inverse or more so an opposite, you simply add the negative to the original for 0.

Example: 8.4 + -8.4 = 0

Step-by-step explanation:

1/8 x 8 = 1

3/8 x 8 = 3

1/8 x 8 = 1

3/8 x 8 = 3

Answer:

Exact form.... X= 5/81, - 5/81

Step-by-step explanation:

Hope this helps

Answer:

2 x 10^9

Step-by-step explanation:

There 8 × 10⁴ would be 10⁹ times as large as 4 × 10⁻⁵ which is determined by the division operation.

In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.

For example 4/2 = 2

We have to determine 8 × 10⁴ is how many times as large as 4 × 10⁻⁵

Apply the division operation to get

⇒ 8 × 10⁴ ÷  4 × 10⁻⁵

⇒ (8 × 10⁴) /  (4 × 10⁻⁵)

Reduce the term of the numerator

⇒ ( 10⁴) / (10⁻⁵)

⇒ ( 10⁴) × (10⁵)

⇒ ( 10⁴⁺⁵)

⇒ 10⁹

Hence, there 8 × 10⁴ would be 10⁹ times as large as 4 × 10⁻⁵ which is determined by the division operation.

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Answer: -13

Step-by-step explanation:

Answer:

you would be 2 years older so you would be 7

Step-by-step explanation:

5 - 3 = 2

5 + 2 = 7

5 ( y - 4 ) = 7 ( 2y + 1 )

The value of y.

5 ( y - 4 ) = 7 ( 2y + 1 )

or, 5y - 20 = 14y + 7

or, 5y - 14y = 7 + 20

or, -9y = 27

or, y = 27/-9 = -3

The value of y is -3.

Answer: 49

Step-by-step explanation:

50−16/4+3

=50−4+3

=46+3

=49

Answer: The first is when we have what is called infinite solutions. This happens when all numbers are solutions. The equation 2x + 3 = x + x + 3 is an example of an equation that has an infinite number of solutions. ...