simplify - (5+√2) (3+√5)

Let's expand the rational number with the conjugate of the expression in the denominator.

Answer:

Step-by-step explanation:

root of 9 is 3

root of 8 is 2.8

the equation =-2.5

Answer: -0.85

Step-by-step explanation:

3/10 + 1/5 = 1/2

1/2 x -4.25 = -0.85

Answer:46656

4634234

Step-by-step explanation:5

y5

Answer:

6.78

I hope this helps.

Step-by-step explanation:

The world record for most selfies taken by a person in one hour is calculated to be 1449.

The world record for the most selfies taken by one person in one hour can be determined by using an algebraic expression.

As 4296 is 51 fewer than three times the World record for the most selfies taken by one person in one hour, we can consider x to be the world record by which we get an algebraic expression as follows;

3x - 51 = 4296

Solving for x;

3x = 4296 + 51

3x = 4347

x = 4347 / 3

x = 1449

Therefore, 1449 is calculated to be the world record for most selfies by one person in one hour.

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Answer:

slope = - [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 2 ) and (x₂, y₂ ) = (5, 1 )

m = [tex]\frac{1-2}{5-1}[/tex] = [tex]\frac{-1}{4}[/tex] = - [tex]\frac{1}{4}[/tex]

Answer: 270

Step-by-step explanation: First, you want to multiply the -3 and the 18. That makes -54. Then, you multiply that answer (-54) by -5, which is 270.

Hope this helps!

Follow the order of PEMDAS of operations:

Multiply and divide (from left to right).

Apply the rule: (-a)*(b) = -a*b

(-3)(18) = -13 * 18 = -54

-54(-5) = 54 * 5 = 270

The answer is 270✅ .

Answer:

55.4 °F

Step-by-step explanation:

To find the difference, subtract the 2 values.

38.2-(-17.2)

2 minus signs equal a plus sign, so:

38.2+17.2 = 55.4

Answer:

(0, 6)

Step-by-step explanation:

The point (0, 6) is on the y-axis, so after a reflection over the y-axis, it is still (0, 6).

Step-by-step explanation:

The money earned by Tom in accordance with his rate is $

In mathematics, comparing two related quantities stated in different units is known as a rate.

The rate at which he earns is $15 per hour.

He earns over time at 1 1/3 times his wage

Overtime rate = 4 / 3 × 15 = $20

He worked for 11 hours.

Total money earned = 7 hours at rate $15 per hour and 4 hours at rate $20 per hour.

Money earned = 7 × 15 + 20 × 4 = $185

Hence the money earned at that rate is $185.

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Answer:

When a number is outside parentheses, the operation it indicates is Multiplication

Explanation:

When a number is outside parentheses such as;

The operation it indicates is Multiplication, for the example above, it means that 4 will multiply each of the numbers inside the parentheses.

Therefore, When a number is outside parentheses, the operation it indicates is Multiplication

martina has used a random sampling procedure that would be classified as a convenience sample .we can conclude that Martina's margin of error is 1.5.

Given: Average graduate student (upper limit) = 33

Random sample graduate student (lower limit) = 30

Formula to calculate margin of error is as follows.

Margin of error = upper limit - lower limit /2

Substitute the values into above formula as follows.

= 33-30/2

=1.5

Thus ,we can conclude that Martina's margin of error is 1.5.

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The simplification of the given expression 36-(12/2)2 will be 24.

Simplification involves proceeding with the pending operations in the expression. for ex; 6 + 2 is an expression whose simplified form can be obtained by doing the pending addition, that results in 8 as its simplified form. Simplification, involves making the expression simple and easy to use later.

We have been given an expression as;

36-(12/2)2

To simplify the above;

36-(12/2)2

36 - (6)2

Now multiply 6 by 2,

36 - 12

= 24

Therefore, the simplification of the given expression 36-(12/2)2 will be 24.

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Answer:

The answer is 24.

Step-by-step explanation:

(12/2)=6

36-(6)2

=36-12

=24

The relationship between the price of the cap and the number of units in demand is d = 869 - 19p

Substitution: A strategy for solving systems of equations that include solving for one variable and using that solution to find the other variable.

The table below shows survey results for the demand related to the price of a baseball cap in a small town. As the price of the cap increases, the number of people who wish to purchase it decreases.

Price of Cap, p(in dollars)     Number of Units in Demand, d

23                                              432

27                                              356

30                                             299

35                                             204

the relationship between the price of the cap and the number of units in demand

lets substitute the values in the given options ( lets use 1st result p=23 and d=432)

A.

d = 850 - 19p

432=850-19(23)

432=850-437

432≠413

B.

d = 285 - 869p

432=285-869(23)

432=285-19,987

432≠19,702

C.

d = 869 - 19p

432=869-19(23)

432=869-437

432=432

option C is correct

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A strategy for solving systems of equations that include solving for one variable and using that solution to find the other variable.

The table below shows survey results for the demand related to the price of a baseball cap in a small town. As the price of the cap increases, the number of people who wish to purchase it decreases.

The relationship between the price of the cap and the number of units in demand

lets substitute the values in the given options ( lets use 1st result p=23 and d=432)

A.   d = 850 - 19p

432=850-19(23)

432=850-437

432≠413

B.   d = 285 - 869p

432=285-869(23)

432=285-19,987

432≠19,702

C.   d = 869 - 19p

432=869-19(23)

432=869-437

432=432

James has to pay an annual interest of 14.99% on $2500 loan.

In decimal:

14.99% = 14.99/100 = 0.1499

The interest of 1st year would be:

0.1499 * 2500 = 374.75 dollars

Monthly interest would be:

374.75/12 = $31.23

If he pays this amount each month for first 4 months, he would pay a total of:

$31.23 * 4 =

The value of (x) that satisfy the equation → 3(x − 5) = 5x − (3 − x) is

x = - 12.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Given is the following equation -

3(x − 5) = 5x − (3 − x)

The given equation is -

3x - 15 = 5x - 3 + x

Simplifying for (x), we get -

3x - x - 5x = - 3 + 15

- x = 12

x = -12

Therefore, the value of (x) that satisfy the equation → 3(x − 5) = 5x − (3 − x) is x = - 12.

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Answer:

[tex]4.2 / 0.35 =\frac{4.2}{0.35} *\frac{100}{100}= \frac{420}{35} = 420/35[/tex]

Step-by-step explanation:

By multiplying both the numerator and the denominator of the fraction 4.2/0.35, the resulting equivalent fraction is 420/35.

Answer: -10 + 34u

Step-by-step explanation:

2 x (10u + 3) + 2 x (7u -8)

20u + 6 + 14u - 16

34u - 10

Answer: -10 + 34u

Step-by-step explanation:

1) Set up the equation

A = 2B + 2H

2) Substitute the variables

A = 2(10u+3) + 2(7u-8)

3) Solve the equation

A = 20u + 6 + 14u - 16

4) Simplfy

A = 34u - 10

A = -10 + 34u

Answer:

B

Step-by-step explanation:

12 multiplied by 5 is 60 and 10 multiplied by 6 is 60. which is the lowest that they both will meet

Answer: No Solution

Step-by-step explanation: Simply use the formula. Which then you get no solution

Answer:

719

– ___

6

Step-by-step explanation:

= 1/6 + 5252 + 65 + 89 + 12 - 15 - 874 - 85 × 54 - 0 - 059

= 1/6 + 5252 + 65 + 89 + 12 - 15 - 874 - 4590 - 0 - 059

= 1/6 + 4529 - 4590 - 059

= 1/6 + (-120)

= 719

— ___

6

Answer:

36

Explanation:

Given the ratio:

Let the number = x

Then:

Next, solve for x:

Thus, the number that makes the ratio equivalent to 3:5 is 36.

The solution for 27≤−2x+7 is x ≤−10 and −13>−2x+7 is x≥10.

What is the solution?

Given equations:  27≤−2x+7, −13>−2x+7

Solving each equation,

27≤−2x+7

−2x≥27−7

−2x≥20

x≤ (20/−2)

x≤−10

−13>−2x+7

−2x≤−13−7

−2x≤−20

x≥ (-20/-2)

x≥10

The solution for 27≤−2x+7 is x ≤−10 and −13>−2x+7 is x≥10.

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Answer:

because the six is a negative number (-6)

Answer:

-1

Step-by-step explanation:

replace x with -1

20>4(-1)+16

20>-4+16

20>12

Answer:

$88.

Step-by-step explanation:

$44 dollar for 4 balls.

That means for one ball it is $11.

44 ÷ 4 = 11.

Therefore:

8 x 11 = 88.

The answer is $88.

Hope this helps!