A card is selected from an ordinary deck. What is the probability of getting king or a queen?

[tex] \sf :\implies \quad {\pmb{x = - 4}}[/tex]

Let's solve the given equation step by step ;

[tex] \sf :\implies \quad 6(x + 4) + 1 = x + 5[/tex]

The first step is to distribute the equation:

[tex] \sf :\implies \quad (6 \times x ) + (6 \times 4) + 1 = x + 5[/tex]

[tex] \sf :\implies \quad 6x + 24 + 1 = x + 5[/tex]

[tex] \sf :\implies \quad 6x + 25 = x + 5[/tex]

Second step is to combine the like terms:

[tex] \sf :\implies \quad 6x + 25 - x = 5[/tex]

[tex] \sf :\implies \quad( 6x - x) + 25 = 5[/tex]

[tex] \sf :\implies \quad 5x + 25 = 5[/tex]

Now, subtract 25 from both sides :

[tex] \sf :\implies \quad 5x + 25 - 25 = 5 - 25[/tex]

[tex] \sf :\implies \quad 5x = - 20[/tex]

Divide both sides by 5:

[tex] \sf :\implies \quad \dfrac{5x}{5} = - \dfrac{20}{5} [/tex]

[tex] \sf :\implies \quad \boxed{ \pmb{\sf x = - 4}}[/tex]

Hence, your answer is ; x = -4

The value of the provided function 14g²,  at the point g equal to negative 1 is 14, when this value is put in the function.

To find the value of a function at a particular point, the value of the point has to be put on the place of a variable in the function and simplify the equation.

To evaluate the value of a function at a particular point, follow the steps given below.

The function given in the problem is,

[tex]f(g)=14g^2[/tex]

Here, the value of the function has to evaluate at g=-1. Put the value of g in the above function as,

[tex]f(-1)=14(-1)^2\\[/tex]

The square of -1 is 1. Thus,

[tex]f(-1)=14\times1\\f(-1)=14[/tex]

Hence, the value of the provided function 14g²,  at the point g equal to negative 1 is 14, when this value is put in the function.

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Answer: B

Step-by-step explanation:

Answer:

according to my calculations syour mada

14)

The missing value is 42.

15)

The missing value is 17.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

14)

0.5 x ( 8 + ___ ) = 25

We will write in terms of x.

0.5 x (8 + x ) = 25

8 + x = 25/0.5

8 + x = 50

x = 50 - 8

x = 42

15)

165 = 5 x ( 16 + __ )

We will write in terms of x.

165 = 5 x ( 16 + x )

165/5 = 16 + x

x = 33 - 16

x = 17

Thus,

The missing value of x is 42 and 17.

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Answer:

in order to know the money that he receive first the type and amount of box must be described unless the question may not have answer.

Answer:

Step-by-step explanation:

In general, a scale factor is applied to an original (pre) to obtain an image (post). It is the ratio post/pre that expresses the relationship between image dimensions and original dimensions.

Here, that post/pre ratio is 3/4 = 0.75.

Answer:

Ivy is correct

Step-by-step explanation:

the perimeter of a parallelogram can be written as P= 2(a+b), where a and b are the lengths of the sides of the parallelogram.
since the parallelogram has been dilated by a scale factor of 0.6, we multiple the original side lengths by 0.6.
12 × 0.6 = 7.2
16 × 0.6 = 9.6
Plug into the equation
P=2(7.2+9.6)
P=2(16.8)

P= 33.6

You can also solve by plugging in the original values and multiplying the answer by 0.6.
P=2(12+16)(0.6)
P=2(28)(0.6)
P=(56)(0.6)

P=33.6

The equation solved for w is:

w = A/l

The correct option is A.

A pair of algebraic equations with the equal symbol (=) in the center and the same value are referred to as an equation.

Starting with the equation:

A/l = lw/l

We can simplify it by multiplying both sides by l:

A = lw

To solve for w, we need to isolate it on one side of the equation.

We can do this by dividing both sides by l:

A/l = w

Therefore, the required equation is A/l = w.

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Answer:

4/10 is the answer

Answer:

20-10=20

20+10=30

Step-by-step explanation:

For 20-10 let's assume John has 20 apples. He gives 10 to Carol.

Understand that subtraction can mean taking away or finding a difference. For example, 13 – 8 can mean, “How many are left when you take 8 away from 13?” Or, 13 – 8 can be interpreted as, “How much more is 13 than 8?” Understand that subtraction is the opposite of addition. Know the addition facts up to 9 + 9.

If john has 20 apples and gives 10 to carol, he will have 10 left.

For 20+10, we do the opposite operation, which is addition.

Addition is finding the total value of two or more numbers. Addition is shown using the + symbol in maths sums.

If john has 20 apples and buys 10 more, he will have 30 apples.

======================================================

Explanation:

For any parallelogram, the opposite sides are parallel and are the same length.

AB = CD

9x+2 = 12x-4

2+4 = 12x-9x

6 = 3x

x = 6/3

x = 2

Which leads to

Side AD is opposite BC, so AD = BC = 9

Answer:

Step-by-step explanation:

To solve for y, isolate it on one side of the equation.

First, switch sides.

c=y+a

y+a=c

Then, you subtract by a from both sides.

y+a-a=c-a

Solve.

[tex]\Longrightarrow:\boxed{\sf{y=c-a}}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

12 inches

Step-by-step explanation:

This is a square of sidee length 3 inches.  As there are four (equal) sides, the perimeter of this square magnet is 4(3 inches), or 12 inches.

Answer:

15.

If we look at angle BOD, that would form a right angle (90°), given that one part of that whole angle is 30°, the other would be;

30° + x = 90°

-30        -30

x = 60°, therefore ∠BOC = 60°.

If we take a look at angle EOC, we can see that that angle is a straight angle (180°), we can also see that a right angle (90°) is a part of that angle alongside the angle we just previously found (60°). So all of those angles plus the unknown angle (AOE) which we will consider 'x' summed up would result in 180 degrees.

Now we set up the equation;

90° + 60° + x = 180°

150 + x = 180

-150       -150

x = 30°, therefore ∠AOE = 30°.

16.

The sum of the interior angles in a triangle will always equal 180°. (We can also confirm this using the formula (n - 2) x 180.)

Given two of the angles, we must add them and the unknown angle(D) which we will consider 'x' to make it result in 180°.

Now we set up the equation;

55° + 18° + x = 180°

73 + x = 180

-73         -73

x = 107°, therefore ∠EDF = 107°.

17.

To find angle P, we must first find the supplement of 34° because 34° and the angle beside forms a straight angle (180°).

Set up an equation;

34 + x = 180

-34         -34

x = 146°, now that we've found the supplement, we add this supplement with the other given angle (23°) because all three angles (unknown angle which we will consider x + 23 + 146) will equal 180°(sum of interior angles of triangle).

146° + 23° + x = 180°

169 + x = 180

-169        -169

x = 11°, therefore ∠QPR = 11°.

18.

Seeing that the bigger triangle has a 90° angle (indicated with a square), and two other equal angles(indicated with the two lines on both legs of the big triangle), we solve for those two missing equal angles in the bigger triangle which we will then use to solve for the smaller triangle's angle.

2x + 90° = 180°

-90            -90

2x = 90

/2     /2

x = 45°, so now we know the two angles in the bigger triangle excluding the right angle.

One of those equal angles is vertical to the smaller triangle, and vertical angles are congruent.

Hence, the angle vertical to the bigger triangle in the smaller triangle will be 45°.

Now we solve for ∠CDE.

Add the two angles and the missing angle to equal 180°.

Set up the equation;

86° + 45° + x = 180°

131 + x = 180

-131        -131

x = 49°, so ∠CDE = 49°.

Answer:

Step-by-step explanation:

So, Lets find out if the solution is true or not, So first let us find the value of x.

⇒ 8 = -x + 10

We can rewrite the equation as,

⇒ -x + 10 = 8

Subtracting 10 from both sides we get :

⇒ -x + 10 – 10 = 8 – 10

⇒ -x = -2

Multiplying both sides by (-1) :

⇒ -1(-x) = -1(-2)

⇒ x = 2

Therefore,

Hey ! there

Answer:

Step-by-step explanation:

In this question we are given with an equation that is 8 = -x + 10 and we have also given its solution that is 2 .And We are asked to tell whether the solution of given equation is true or false .

For finding that we must have to solve the equation .

Solution : -

[tex]\longrightarrow \qquad \: 8 = -x + 10[/tex]

Step 1 : Flipping the equation so that there's ease in solving :

[tex] \longrightarrow \qquad \: - x + 10 = 8[/tex]

Step 2 : Subtracting with 10 on both sides :

[tex] \longrightarrow \qquad \: - x + \cancel{10 }- \cancel{ 10} =8 - 10[/tex]

On further calculations , We get :

[tex] \longrightarrow \qquad \: - x = - 2[/tex]

Step 3 : Multiplying with -1 on both sides :

[tex] \longrightarrow \qquad \: - x \times - 1 = - 2 \times - 1[/tex]

We get :

[tex] \longrightarrow \qquad \: \blue{\underline{\boxed{ \frak{x = 2}}}}[/tex]

Alternative Solution : -

There's another easy way to check whether 2 is solution of given equation or not . This is done by substituting value of x that is 2 in given equation that is 8 = -x + 10 . So substituting value of x ( solution ) in given equation :

As we can see that left side is equal to right side .

Answer:

1/16 chance that it will land on 16 because there are 16 faces

Answer:

1/16.

Step-by-step explanation:

That will be 1 chance in 16.

Answer:

  x = 5.4

Step-by-step explanation:

The marked sides are the hypotenuse and the side adjacent to the marked angle. That suggests the appropriate trig function is the cosine:

  Cos = Adjacent/Hypotenuse

  cos(19°) = 5.1/x

  x = 5.1/cos(19°) . . . . . multiply by x/cos(19°)

  x ≈ 5.4

Answer:

X=16

Missing angle = 48

Step-by-step explanation:

Answer:

slope in parallel = 2

slope in perpendicular = [tex]\sf \bold{-\frac{1}{2} }[/tex]

y intercept = (0, 2)

Rewrite in slope intercept form:

slope intercept form: y = mx + b  || where "m" is slope and "b" is y-intercept

y-intercept:  2  --- as "b" is [+2] then x will be always 0 at y-intercept

slope is same when parallel

perpendicular slope is negative reciprocal of the parallel slope

Convert to slope intercept form

Slope:-

Parallel lines have equal slope

Slope of the perpendicular line=-1/2

The explicit rule for the sequence in simplified form is y = 30000(2)^n

The standard exponential equation is expressed as:

y = ab^n

Given the following parameters

a is the initial values = 30,000
If the amount doubles each year then b = 2

Substitute the parameters

y = 30000(2)^n

Hence the explicit rule for the sequence in simplified form is y = 30000(2)^n

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Answer: Explicit Rule: a_n=30,000 • 2^n-1 Recursive Rule: a_n = 2a_n-1; a_1 =30,000

Step-by-step explanation: the Explicit Rule for a geometric sequence is a_n = r • a_n -1 and the Recursive Rule is a_n = a_1 • a_n-1

a_1 is the first term and r is the common ration. In this case, the first term is 30,000 as stated in the question and the common ration is 2 since it doubles each time. So substitute those numbers into the formulas and that’s what you’ll get! Hope this helps! God bless you all!!

Answer:

[tex] \fbox{Volume \: of \: pyramid \: = 24 ft³}[/tex]

Step-by-step explanation:

Given:

shape of object = Pyramidal

length of base l= 4ft

width of base w = 3ft

height of pyramid h = 6 ft

To find:

volume of pyramid = ?

Solution:

[tex]Volume \: of \: pyramid= \frac{l \times w \times h}{3} \\ Volume \: of \: pyramid= \frac{6 \times 4 \times 3}{3} \\ Volume \: of \: pyramid= \frac{24 \times \not3}{ \not3} \\ Volume \: of \: pyramid= 24 \: {ft}^{3} [/tex]

[tex] \fbox{Volume \: of \: pyramid \: = 24 ft³}[/tex]

$3,000 in an account that earns 4% compound interest after 6 years.

[tex]p = 3000[/tex]

[tex]r = 4[/tex]

[tex]t = 6years[/tex]

[tex]interest = \frac{prt}{100} [/tex]

[tex] = \frac{3000 \times 6 \times 4}{100} [/tex]

[tex] = 720[/tex]

therefore, $720 is the current amount of interest.

Answer:

 -2-2√3, -2+2√3

Step-by-step explanation:

Let x and y be two numbers.

Let x represent one of the numbers. Then the other number is -4-x. We want the product to be -8:

 x(-4-x) = -8

 -4x -x^2 = -8 . . . . . eliminate parentheses

 x^2 +4x = 8 . . . . . . multiply by -1

 x^2 +4x +4 = 12 . . . add 4 to complete the square

 (x +2)^2 = 12

 x +2 = ±√12 = ±2√3

 x = -2±2√3

#1

#2

#3

Answer:

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

Given:

[tex]\implies \sf \cos(28^{\circ})=\dfrac{x}{25}[/tex]

[tex]\implies \sf x=25cos(28^{\circ})[/tex]

[tex]\implies \sf x=22.1\:(nearest\:tenth)[/tex]

Given:

[tex]\implies \sf \cos(26^{\circ})=\dfrac{15}{x}[/tex]

[tex]\implies \sf x=\dfrac{15}{\cos(26^{\circ})}[/tex]

[tex]\implies \sf x=16.7\:(nearest\:tenth)[/tex]

Given:

[tex]\implies \sf \tan(41^{\circ})=\dfrac{x}{16}[/tex]

[tex]\implies \sf x=16\tan(41^{\circ})[/tex]

[tex]\implies \sf x=13.9\:(nearest\:tenth)[/tex]

Answer:

a is when you need to go from 12 to 5 so is this flvs?

Step-by-step explanation:

Answer:

a)

first you need to find the missing lengths the first one would be

12-7=5
and the second one you will need to find the circumference
π*4*2=8π
and now you add

12+7+5+5+3+8π=32+8π
so the perimeter is 32+8π

b)

so lets make some sections

one of the sections will be a rectangle that is 8 in length and 7 in width
8*7=56units^2
and another reactangle that is 3 in length and 5 in width

3*5=15units^2
and then we need to find the area for the semicircle with a raidius of 4
π*4^2=16πunits^2
them divide by 2
(16π)/2=8pi
so the area would be 71+8π

Step-by-step explanation:

The perimeter of the polygon will be 30 units. Then the correct option is D.

All the sides of the regular polygon are congruent to each other. The perimeter of the regular polygon of n sides will be the product of the number of the side and the side length of the regular polygon.

P = (Side length) x n

The sides length of the polygon is 10 units, 5 units, 3 units, 2.5 units, 7 units, and 2.5 units.

Then the perimeter of the polygon is given as,

P = 10 + 5 + 3 + 2.5 + 7 + 2.5

P = 30 units

The perimeter of the polygon will be 30 units. Then the correct option is D.

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Answer:

The surface area is 301.4ft

Step-by-step explanation:

To find the surface area of a circular pool, you multiply the diameter and depth and then multiply by 3.14.

24*4 = 96

96*3.14 = 301.44