Simplify the following surd expressions
a)
[tex]7 \sqrt{3} - 2 \sqrt{3} + \sqrt{3} - 3 \sqrt{3} [/tex]

b)
[tex]5 \sqrt{7} + 4 \sqrt{7} - 8 \sqrt{7} [/tex]

Answers

Answer 1

Answer:

a) 3√3b) √7

Step-by-step explanation:

a)

7√3 -2√3 + √3 - 3√3 =√3(7 - 2 + 1 - 3) =√3*3 =3√3

b)

5√7 + 4√7 - 8√7 =√7(5 + 4 - 8) =√7*1 =√7

Related Questions

Jane spends about 1/6 of the day sleeping. How many hours in a day does Jane sleep? How many hours in a week?

Answers

Answer:

Jane spend 4 hours in a day sleeping, and 28 hours in a week.

Step-by-step explanation:

In 1 day, there are 24 hours. 24 multiplied by 1/6 is 4. I know this because 24 x 1/6 = 24/1 x 1/6 = 24/6 = 4/1 = 4.

In 1 week, there are 168 hours. 1/6 multiplied by 168 is 28. I know this because 168 x 1/6 = 168/1 x 1/6 = 168/6 = 28/1 = 28

I would appreciate brainliest.

Please help
Regroup and write your answer in simplest form

Answers

First you should write 2 3/4 as a decimal, 2.75 then multiply 2.75 by 2 to get 5.5. 5.5 equals 5 1/2.
Ms. Addison needs 5 1/2 cups of flour.

Can somebody please help me with this pleaseee

Answers

Answer: -2, 2

Step-by-step explanation:

0 = 5x^2 -20

0 = 5(x^2 -4)

0 = 5(x - 2)(x + 2)

0 = x - 2

2 = x

0 = x + 2

-2 = x

Хеллльпппппп please ......

Answers

Answer:

B

Step-by-step explanation:

Solve the system using substitution. Put in point form.
2x - 7y = 13
3x + y = 8

Answers

are they being multiplied or added or subtracted?

Answer:

(3, -1)

Step-by-step explanation:

3x +y = 8

-3x   =-3x

Y=-3x +8 Substitute into 1st equation           y=-3x+8

2x-7(8-3x+8)= 13                                                 -3(3) + 8

2x-56+21x= 13                                                       -9 +8

23x-56 =13                                                        y = -1    

     +56= +56

23x   =      69

23             23

   x = 3

solution (3, -1)

Casi drove 135 miles in 3 hours. Use a proportion to find how long it would take her to drive 360 miles at the same speed.

Answers

Answer:

8 hours

Step-by-step explanation:

We are given that

Casi traveled distance in 3 hours=135 miles

We have to find the time taken by Casi to drive 360 miles at the same speed using proportion .

Let time taken by Casi to drive 360 miles=x

We know that

Speed=[tex]\frac{Distance}{time}[/tex]

Using proportion

[tex]\frac{a}{b}=\frac{c}{d}[/tex]

[tex]\frac{135}{3}=\frac{36}{x}[/tex]

[tex]x=\frac{360\times 3}{135}[/tex]

[tex]x=8[/tex]

Hence, the time taken by Casi to drive 360 miles=8 hours

What is the slope of the line that passes through the points (5, -10) and (-3,-10)? Write your answer in simplest form.

Answers

Answer:

From Calculating, the slope would be 0.

Step-by-step explanation:

           This is because of the fact that the two points create a straight line across the x-axis. The points do not have any distance up or down, the only distance is 8 units across. The slope would be 0 because there isn't a slope, only a distance. Hope this helps.

Daniel ran 5 kilometers in 40 minutes. Andy ran 4,550 meters in 37 minutes. Who ran faster?
PLEASE GIVE ME EXPLANATION

Answers

Answer:

Daniel

Step-by-step explanation:

Daniel ran 5000/40=500=4=125 meters in 1 minutes

Andy ran 4550/37=122.9729... some less than 123 meters in second

Daniel was faster than Andy

Find the difference: 5.68 -
- 2.15 - (-1.34) = *

Answers

Answer:

THE ANSWER FOR THIS QUESTION IS 9.17

the answer to this question is: 4.87

In an effort to save money, Zoe decides to cut back on the number of meals she eats at restaurants each month. She tracks the
number of meals she eats out each month for a year. The data is recorded in the dot plot below.
O
1
2
3
4
5 6 7 8 9 10 11 12 13 14 15
Number of Meals
Which statement about the data is true?
0
The data is skewed left with an outlier.
a
The data is skewed left with no outlier.
The data is skewed right with an outlier.
The data is skewed right with no outlier.

Answers

Answer:

The data is skewed left with an outlier.

Explanation:

Skewness occurs when the entries of the data set are either distributed more to the left or more to the right on the number line. In this case, most of the entries lie to the right, so the data set is skewed left.


[tex] - 2x - 4y = 10 \\ 2x + 4y = - 10[/tex]
please find the point of intersection​

Answers

Answer:

They are the same slope

Step-by-step explanation:

When you convert both equations you get y=-[tex]\frac{1}{2\\}[/tex]x-[tex]\frac{5}{2}[/tex]

1.
(2x3 - 5x2 + 3x + 7) = (x - 2)
a) 2x3 - x2 + x + 9
b) 2x2-x+1
C) 2x2 - x + 1 + 9/x-2
d) 2x2_9x - 15 - 23/x-2

Answers

The correct answer is b

The buildings of a university are mapped on a coordinate grid with the origin being at library.

The Math building is located at the point (1, 5) and the History building is located at (4, 9).

How far is it from the Math building to the History building?

Answers

Applying the distance formula, the distance between the the Math building to the History building is: 5 units.

What is the Distance Formula?

To find the distance between two given points on a coordinate grid, the distance formula which is used is: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].

Given the following:

Math Building (1, 5) = (x1, y1)History building (4, 9) = (x2, y2).

Plug in the values into the distance formula:

d = √[(4−1)² + (9 − 5)²]

d = √[(3)² + (4)²]

d = √(9 + 16)

d = √25

d = 5

Distance between the the Math building to the History building is: 5 units.

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PLEASE HELP

What is 2/3 of 15% of $2,000?
F. $100
G. $200
H. $300
J. $450
K. $500

Answers

Answer:

$200 dollars my friend.

Step-by-step explanation:

Hope I helped!

The solution is Option G.

The value of the equation A = ( 2/3 ) x 15% x $ 2000 = $ 200

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = ( 2/3 ) x 15% x 2000   be equation (1)

On simplifying the equation , we get

A = ( 2/3 ) x ( 15/100 ) x 2000

A = ( 2/3 ) x ( 15 ) x ( 20 )

On further simplification , we get

A = ( 2/3 ) x 300

A = 2 x 100

A = $ 200

Therefore , the value of A is $ 200

Hence , the equation is A = $ 200

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If f(x) = 2x + 3, what is f(-2)?

Answers

Answer:

7

Step-by-step explanation:

Answer:

no answer

Step-by-step explanation:

2(-2)+3=-2

simplify

-4+3=-2

simplify

-1=-2

No answer

If there's something along the lines of no answer and it's multiple choice click that.

A restaurant keeps eggs in a rack that has 5 layers. Each layer has 5 rows, with 5 eggs in each row. How many eggs does each 5-layer rack hold?

Answers

Answer:

The answer is 125 eggs.

The total number of eggs required will be 125.

What is an expression?

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that a restaurant keeps eggs in a rack that has 5 layers. Each layer has 5 rows, with 5 eggs in each row. The number of eggs will be calculated as:-

Number of eggs = 5 x 5 x 5

Number of eggs = 125

Therefore, the total number of eggs required will be 125.

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Brady needs to cut a piece of scrapbook paper
12 centimeters long. He cuts pieces of the following
lengths. Which cut results in a percent error of 15%?
Select all that apply.

Answers

It is 10.2 centimeters so option A :)

Answer:

Option A and Option C

Step-by-step explanation:

If we know that we have to cut a peice of paper 12 centemiters long, that means a 15% error would be cutting out one of the following lengths....

12 - 12(0.15) = 10.2 cm

or

12 + 12(0.15) = 13.8cm

So from this, we see that the answers are Option A and Option C  

Please help I really need it

Answers

Answer:

the slope is 3

Step-by-step explanation:

Answer:

m = -1/3

Step-by-step explanation:

You have the right idea with the rise and run. We have a run of 15 and a rise (or I guess in this case, a decline) of -5. Slope is rise over run:

-5/15 = -1/3

This means we have a slope of -1/3.

Alternatively, we could just the points and put them into the slope formula.

We have the points (0,25) and (15,20). We can substitute those values into the formula:

m = y₁ - y₂ / x₁ - x₂

m = 25 - 20 / 0 - 15

m = 5/-15

m = -1/3

Works all the same.

Due in 15 minutes helppppp

Answers

Answer:

13,5,12 inches hope this helps

Step-by-step explanation:

I NEED HELP ASAP

What is the slope-intercept equation?

A). y= -8x - 3

B). y= -5/4x + 8

C). y= 4/5x - 8

D). y= -4/5x + 8

Answers

Answer:

C. y=4/5x + 8 is the answer

Answer:

The answer is D: y= -4/5x + 8

Drag the numbers to order them from least to greatest.

Answers

-2.86, -0.37, 0.19, 0.91, 1.46
You have the right answer in the picture.

please simplify 5(x-1)

Answers

Answer:

5x-5

Step-by-step explanation:

Just use distribuative property

Marcus looked out in the audience and saw 40% of the chairs were filled. There were 42 people sitting in the chairs. Enter the total number of chairs in the audience.

Answers

Answer:

I say it is 16.8

Step-by-step explanation:

40 x 42

100

= 16.8

The total number of chairs in the audience is 105.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Marcus looked out into the audience and saw 40% of the chairs were filled and 42 people are sitting in the chairs.

Let, 'x' be the total number of chairs.

Therefore, 40% of 'x' is 42 which can be numerically expressed as,

(40/100)×x = 42.

0.4x = 42.

x = 42/0.4.

x = 105.

So, The total number of chairs in the audience is 105.

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1 Adrian is buying a new radio.
The radio is on sale.
The sale price of the radio is 20% off the normal price.
The radio Adrian buys is slightly damaged.
The shop takes an extra 15% off the sale price due to the damage.
Work out the overall percentage reduction of the price of the radio.
Total 5 Marks

Answers

Answer:

35

Step-by-step explanation:

20 + 15 = 35

hope this helps

The sum of two numbers is 51 and the greater number is twice the smaller number. Find the numbers. a) set up the variables Let _______ represent the first number Then _______ will represent the second number. b) What is the equation that represents the above situation? c) Solve the equation.

Answers

Answer:

34 and 17

Step-by-step explanation:

a) set up the variables

Let x represent the first number Then  y will represent the second number.

b) What is the equation that represents the above situation?

x = 2yx + y = 51

c) Solve the equation.

Substitute x in the second equation and solve for y:

x + y = 512y + y = 513y = 51y = 51/3y = 17

Then find x

x = 2y = 2*17 = 34

Answer:

[tex]\tt{34~and ~17 }[/tex]

Step-by-step explanation:

let the first number is =x

second number is =y

The sum of two numbers is 51 =x+y=51•••{1}

the greater number is twice the smaller number= x=2y••••••••{2}

According to the question,

[tex]\bold{ x+y=51 }[/tex]

[tex]\bold{2y+y=51 }[/tex] [tex]\because{ (x=2y ) }[/tex]

[tex]\bold{ 3y=51 }[/tex]

[tex]\bold{ y=\dfrac{51}{3} }[/tex]

[tex]\boxed{\blue{y=17 } }[/tex]

NOW put the value y in equation {2}

we get that,

[tex]\bold{ x=2×17 }[/tex]

[tex]\bold{ x=34 }[/tex]

8. Oscar charges $25 for the first hour of tutoring and $15 for each additional hour or fraction of an hour. The rates that Latoya charges for x hours of tutoring are modeled with the function shown. 30x, 06. Who will charge more to tutor for 5.5 hours, Oscar or Latoya? How much more?​

Answers

Answer:

a.  Oscar charges more to tutor for 5.5 hours than Latoya.

b. Oscar charges more by a difference of $1.00 for tutoring 5.5 hours.

Step-by-step explanation:

Charges by Oscar:

1st hour of tutoring = $25

Additional hour or fraction = $15

For tutoring for 5.5 hours, Oscar charges:

1st hour of tutoring = $25

4.5 hours of additional tutoring = $75 ($15 * 5)

Total charges = $100

Charges by Latoya:

= 30x, 0.6, where x = hours of tutoring

Total charges = 30 * 5.5 * 0.6 = $99

Therefore, Oscar charges more for tutoring 5.5 hours than Latoya by $1 ($100 - $99).

in a school, 56% of the 850 students are girls. work out the number of girls in the school

Answers

Answer:

476 girls

Step-by-step explanation:

total students : 850

56% of 850 = 476

Find the perimeter in simplest form and explain your work

Answers

9514 1404 393

Answer:

  7 1/8 yd

Step-by-step explanation:

The perimeter is the sum of the three side lengths. They are all the same, so we can use multiplication to find their sum.

  P = 3·(2 3/8 yd) = 6 9/8 yd  . . . . .  9/8 = 1 1/8

  P = 7 1/8 yd

The perimeter is 7 1/8 yards.

Answer:

[tex]perimeter \: of \: the \: triangle \\ = 2 \frac{3}{8} +2\frac{3}{8} + 2 \frac{3}{8} \\ = 3 \times 2 \frac{3}{8}\\= 3 \times \frac{19}{8} \\ = \frac{57}{8} \: yd \\ = 7 \frac{1}{8} \: yd[/tex]

57/8 yards is the right answer.

SOMEONE PLEASE HELP ME WITH THIS!!!!! ITS GEOMETRY

Answers

Answer:

KG = 7 (A)

m KIH = 28 (B)

m JIH = 96 (D)

m HKI = 68 (B)

m KJI = 84 (C)

Step-by-step explanation:

Notice that the triangle HKJ is identical to HIJ. Since there are lines drawn to each other and both triangles are identical, the lines KG and GI are the same. This means that it is 7.

The triangle KGJ is identical with IGH. Using the recognise angle property, we know that angle JKI is the same as KHI. This means that it is 28.

Angle JIH is the same as angle JKH. Since JKH is 180 - (KHI or 84), we know that the angle JIH is 96.

We can find angle HKI by subtracting 96 by 28 because we know that angle HKI is the same as JIH. This gives us 96-2 8 = 68.

Angle KJI is the same as KHI which is 84. Therefore, KJI is also 84.

I already have an answer, please clarify the correct answer, thx

Answers

Answer:

ok so y= 25 and x= 27. brainliest pls!

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