Simplify this expression

[tex]2 \sqrt{5(13 + \sqrt{2)} } [/tex]
​

[tex].59826[/tex]

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Answer:

x < 16

Step-by-step explanation:

4x < 64

To solve for x, we simply divide by 4 on both sides. This results us with:

x < 16

#teamtrees #WAP (Water And Plant)

4x <64

Divide both sides by 4:

x < 16

Answer:

hmhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

Answer:

I would - the X and make it Y = 3 - X

Step-by-step explanation:

X-X+Y=3 - X

Y= 3-X

Hi there!

[tex]\large\boxed{53) \text{ } KL = 31}\\\\\large\boxed{54) \text{ } { } DC = 3}[/tex]

53)

The altitude of a triangle is always perpendicular to the base, therefore:

5x° must equal 90°.

Solve for x:

5x = 90

5x / 5 = 90 / 5   ----> x = 18

KL is equal to  2x - 5, so plug the value of x into the equation:

KL = 2(18) - 5

KL = 36 - 5   ---> KL = 31

54)

A median bisects the base, therefore:

AD ≅ DC

Set both equations equal to each other:

3x = 2x + 1

Subtract 2x from both sides:

x = 1

Plug in the value of x into the equation for DC:

2(1) + 1 = 3.

DC = 3.

The fraction 25/6 is approximately equal to 4.17 as a decimal.

We have,

To find the decimal equivalent of 25/6, we perform the division operation:

25 ÷ 6 = 4.166666...

The division result is a recurring decimal, which means it continues indefinitely without repeating.

However, to represent it in decimal form, we can round it to a certain number of decimal places.

Rounding to two decimal places,

The decimal equivalent of 25/6 is approximately 4.17.

Therefore,

25/6 is approximately equal to 4.17 as a decimal.

Learn more about expressions here:

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Answer:

The number of pizzas sold during A- lunch is 64

Step-by-step explanation:

Let us solve the question using the ratio method

∵ The ratio of pizza to nachos sold during A-lunch is 4 to 3

∵ There were 48 nachos sold

→ By using the ratio method

→ Pizza  :  Nachos

→  4        :   3

→  x        :  48

→ use the cross multiplication

∵ x × 3 = 4 × 48

∴ 3x = 192

→ Divide both sides by 3

∵ [tex]\frac{3x}{3}[/tex] = [tex]\frac{192}{3}[/tex]

∴ x = 64

∴ The number of pizzas sold during A- lunch is 64

Answer:

Angle FCM is supplementary to angle ACM

Step-by-step explanation:

Supplementary angles are angles that equal 180 degrees

Answer: x=−1.226024

Step-by-step explanation: Let's solve your equation step-by-step.

8x+2=5

Solve Exponent.

8x+2=5

log(8x+2)=log(5)(Take log of both sides)

(x+2)*(log(8))=log(5)

x+2=

log(5)

log(8)

x+2=0.773976

x+2−2=0.773976−2(Subtract 2 from both sides)

x=−1.226024

Answer:

uuhh sorry

Step-by-step explanation:

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[tex] {6}^{2} = x \times 9[/tex]

[tex]36 = 9x[/tex]

[tex]9x = 36[/tex]

Divide sides by 9

[tex] \frac{9x}{9} = \frac{36}{9} \\ [/tex]

[tex]x = 4[/tex]

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Answer:

[tex]1 : 5\ or\ \frac{1}5[/tex]

Step-by-step explanation:

Given that:

A single fair die is tossed.

First of all, let us learn about a fair die.

A fair die is a 6 sided die numbered from 1, 2, 3, to 6 and each side has an equal probability of occurring OR we can say each side is equally likely to occur.

So, probability of rolling a number greater than 5 has only one possible outcome i.e. 6.

And total number of outcomes are 6.

So, probability of rolling a number greater than 5 = [tex]\frac{1}{6}[/tex]

Probability of not rolling a number greater than 5 = [tex]\frac{5}{6}[/tex]

Odds in favor of rolling a number greater than 5 = Probability of rolling a number greater than 5 : Probability of not rolling a number greater than 5

[tex]\dfrac{1}{6} :\dfrac{5}{6} = \bold{1:5}\ or\ \bold{\dfrac{1}{5}}[/tex]

Using the probability concept, the odds of rolling a number greater than 5 is 1 :5

The odd of a particular experiment is defined thus :

Number of possible outcomes greater than 5 : number of possible below or equal to 5

Sample space = {1, 2, 3, 4, 5, 6}

Outcomes greater than 5 = {6} = 1

Outcomes below or equal to 5 = {1, 2, 3, 4, 5} = 5

The odds equals to 1 : 5

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Answer:

69.075 or 69 3/40

Step-by-step explanation:

(^-^)

Answer:

68 43/40

Step-by-step explanation:

Answer:

[tex]Volume = 4.325 L[/tex]

Step-by-step explanation:

Given

[tex]Initial = 3.85L[/tex]

[tex]Additional= 0.475L[/tex]

Required

Determine the volume of the chocolate milk

Since, the mixture produces a chocolate milk, then the volume is the addition of milk in the pitcher and the chocolate syrup.

i.e.

[tex]Volume = Initial + Additional[/tex]

[tex]Volume = 3.85L + 0.475L[/tex]

[tex]Volume = 4.325 L[/tex]

Hence, there are 4.325 liters of chocolate milk in the pitcher

Answer:

- 5/6

- 1/3

Step-by-step explanation:

Answer:

A and F

Step-by-step explanation:

5/6 and 1/3

Answer:

1/6

Step-by-step explanation:

there are 6 sides on a die and they each have equal chances of being rolled

Answer:

relation

Step-by-step explanation:

First of all, all functions are relations, but not all relations are functions.

A function is a relation where one element in the domain is paired exactly with one element of the range.

A relation assigns one element of the domain to one or more elements of the range.

The range is any set of ordered pairs, while the function is a set where the group of pairs do not share the same first coordinate.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = x^2 - x - 72

y = (x - 9)(x + 8)

You want two numbers that multiply to 72 --   -9 and 8

You want two numbers that differ by -1    -9 + 8 = - 1

Answer:

36 = 1 x 36, 2 x 18, 3 x 12, 4 x 9, or 6 x 6. Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36.

Step-by-step explanation:

Answer:

10500 (hope this helps)

Answer:

10500

Step-by-step explanation:

Answer:

Step-by-step explanation:

A right angle

Answer:

The probability of dealing with a straight from a deck of 52 cards = 0.00394

Step-by-step explanation:

An ace must occur to have a straight, the Ace can either be high or low which can appear at the beginning or near the end. The rank of straight for an ace to occur range from 2,3,4,5,6,7,8,9,10.

If a suit is already at hand, and we have the opportunity to select four suits.

The number of possible straight = 4⁵ × 10

= 10240

Thus, the probability to deal with a straight = [tex]\dfrac{10240}{^{52}C_5}[/tex]

The probability to deal with a straight = [tex]\dfrac{10240}{\dfrac{52!}{5!(52-5)!} }[/tex]

The probability to deal with a straight = [tex]\dfrac{10240}{\dfrac{52!}{5!(47)!} }[/tex]

The probability to deal with a straight = [tex]\dfrac{10240}{2598960}[/tex]

The probability to deal with a straight = 0.00394

Answer:

The given sequence is a geometric sequence and the common ratio is 4

Step-by-step explanation:

A geometric sequence is a sequence in which the next term is obtained by multiplying the previous term with a ratio r.

Given sequence is:

6,24,96,384,1536,…

Here

a1 = 6

a2 = 24

a3 = 96

a4 = 384

a5 = 1536

The common ratio is the ratio between consecutive terms of a geometric sequence.

If the common ratio of a sequence is same, then the sequence is a geometric sequence.

So,

[tex]r = \frac{a_2}{a_1} = \frac{24}{6} = 4\\r = \frac{a_3}{a_2} = \frac{96}{24} = 4\\r = \frac{a_4}{a_3} = \frac{384}{96} = 4\\r = \frac{a_5}{a_4} = \frac{1536}{384}= 4[/tex]

As the common ratio is same, the given sequence is a geometric sequence.

Hence,

The given sequence is a geometric sequence and the common ratio is 4

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Answer:

Step-by-step explanation:

If 74% is paid by Hilton, then Sierra pays 26% of $8245 per year. Her annual share is ...

  0.26 × $8245 = $2143.70 . . . Sierra's share

__

Then the deduction in each of her 24 pay periods is ...

  $2143.70/24 = $89.32 . . . per pay period