Mathematics High School

2.Select all the expressions that will result in a rational number.

2.Select All The Expressions That Will Result In A Rational Number.

Answers

Answer 1

Answer:

D and E

Step-by-step explanation:

A. 5/6 + √12/3 = 5/6 +2√3/3 = 1/6( 5 + 4√3)

→ Irrational

B. 5/6 × √12/3 = 5/6 × 2√3/3 = 5√3/9

→ Irrational

C. 5/6 × √12 = 5/6 × 2√3 = 5√3/3

→ Irrational

D. 5/6 - √36/3 = 5/6 - 6/3 = 5/6 - 12/6 = -7/6

→ Rational

E. 5/6 + √36/3 = 5/6 + 6/3 = 5/6 + 2 = 2 5/6

→ Rational  

Related Questions

Slope of (-3,6), (2,6)

Answers

Answer:

0

Step-by-step explanation:

Answer:

0/-1 which equals 0

Step-by-step explanation:

I provided a picture explanation

Point H is on the line segment GI. Given HI=6x, GH=x^2+5x and GI 7x+21. Find the values of x and determine the length of HI.

Answers

Answer:

x=3

HI=18

Step-by-step explanation:

Equations

Suppose a segment with endpoints G, I. Somewhere in between lies point H, in such a way that:

GI = GH + HI

Every segment is given as an expression with variable x:

[tex]HI=6x[/tex]

[tex]GH=x^2+5x[/tex]

[tex]GI=7x+21[/tex]

Substituting:

[tex]7x+21=x^2+5x+6x[/tex]

Moving everything to the right side:

[tex]0=x^2+5x+6x-7x-21[/tex]

Swapping sides and simplifying:

[tex]x^2+4x-21=0[/tex]

Factoring:

[tex](x+7)(x-3)=0[/tex]

Solving, we have two possible solutions:

x=-7, x=3

The negative solution is discarded because it would result in negative lengths. Thus the solution is

x=3

Determine the length of HI:

HI=6x=6*3=18

HI=18

NEED HELP ASAP
What is the equation for a line that passes through the points (-4,-1) and (8,17)?

Answers

Answer:

y = 1.5x + 5

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

please help! i need help ASAP much appreciated

Answers

Answer:

Plz check in step by step

Step-by-step explanation: Hong Kong Island is the second-largest island of the territory, the largest being Lantau Island. Its area is 78.59 km2 (30.34 sq mi), including 6.98 km2 (2.69 sq mi) of land reclaimed since 1887 and some smaller scale ones since 1851.

what is - I (-10) I - 2

Answers

Answer:-2

Step-by-step explanation:

I need help simplifying this 7(3/7−6x)

Answers

Answer:

3-42x

Step-by-step explanation:

Your answer would be 3-42x

2/3r+4/3p-1/3p=
please helpppp

Answers

Answer:

2/3r + p

Step-by-step explanation:

2/3r + 4/3p - 1/3p

combine like terms, terms with like coefficients can be combined, terms that do not have like coefficients cannot be combined

coefficient- the variable that a number is multiplied by

2/3r + 4/3p - 1/3p

combine

2/3r + 3/3p

or

2/3r + p

(-8,-11) and (17,4)

Answers

Can you explain the question

please help pleeaasssee

Answers

Answer:

10

Step-by-step explanation:

just do 4-18 and u get the answer

The Answer Would Be 10

If a number a is chosen at random from the set
of positive integers less than 20, then what is the
probability that 12/a > a?

A. 12/19
B. 3/5
C. 7/19
D. 3/19

Answers

Answer:

D. 3/19

Step-by-step explanation:

12/1 = 12

12/2 = 6

12/3 = 4

These are the only ones that make the equation true.

There are also only 19 numbers because they need to be less than 20 like the question indicated. Therefore, the answer is D.

April is going to the bakery to purchase donuts and cinnamon rolls for the office personnel. She must purchase at least 30 items. She has collected only $30, so total cost must be no more than $30. If d represents donuts that cost $0.75 each and r represents cinnamon rolls that cost $1.25 each, which system of inequalities can be used to represent the region for the number of donuts and cinnamon rolls April could purchase

Answers

Answer:

d + r ≥ 30

$0.75d + $1.25r ≤ $30

Step-by-step explanation:

Given the following :

Number of items to purchase = atleast 30

Total cost must be no more than 30

cost of donut (d) = $0.75

Cost of cinnamon (r) = $1.25

Number of donuts and cinnamon to purchase

To total number of items :

Donut + cinnamon ≥ 30

d + r ≥ 30

Cost of items to purchase :

Cost = price per item * number of items

$0.75d + $1.25r ≤ $30



Debbie's backyard deck cost $56.00 per square meter to build. The deck is 9 meters wide and
9 meters long. How much did it cost to build the deck?

Answers

Answer:

$514.00

Step-by-step explanation:

56 x 2 = 112

112 x 4 = 448

448 + 56 - 514

so $514.00 is your answer.

it would be $4536! because 9*9=81
81x56

Can anybody help pls

Answers

Answer:

4?

Step-by-step explanation:

There's only 5 teams. (I'm not sure tho)


Tamara spun the arrow on a spinner 50 times. The number of times the arrow landed on each colored section of the spinner is shown in the table.
Section
Number of Times
Arrow Landed On
Red
23
Blue
Orange
Yellow
8
10
9
Based on the results in the table, what fraction of the area of the spinner is most likely represented by the Red section?

Answers

Answer:

1/2 .

Step-by-step explanation:

Answer: 1/2

Step-by-step explanation:

-14+6b+7-2b=1+5b
someone help me with this please

Answers

Answer:

b= -8

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable. my answer is -8 but just multiply 5 by -8. and solve

-14+6b+7-2b=1+5b

-7+4b=1+5b

-1 -1

-8+4b=5b

-4b -4b

-8=b

(x + y + z = 3
-y = x
2z + 3y = 0
What does x and y equal?

Answers

Answer:

x=2 and y=-2

Step-by-step explanation:

what is the slope if the line is 5y= 10x-15

Answers

Answer:

slope = 2

Step-by-step explanation:

y = mx + b

M is the slope

5y = 10x - 15

y = 2x - 3

2 is the m in this equation

I hope this helped!

What is the answer of 10-squareroot of 4 divided by 2

Answers

Answer:

10

Step-by-step explanation:

sqrt(4)=2

2/2=1

10×1=10

Divide 1540 by 7.

Please show working

Answers

Answer:

220

Step-by-step explanation:

Help please
Find the scale factor & find the unknown lengths

Answers

e to f is 10 d to f 10 GED and eukaryotic disease and

ive been stuck on this expression for a while now

Answers

Answer:

xy^(2)z^(6)

Step-by-step explanation:

i hope that helps  you :)

Helppppppppp????????

Answers

Answer:

esxrdctfvgbyhunijmkhn;bygitvcrfydxtesjtfhctryrx6

Step-by-step explanation:

todo esta en la foto Everything is in the picture

Answers

vendieron un total de 7 camas elásticas porque 689.50 / 98.50 son 7. (they sold a total of 7 trampolines because 689.50/98.50 is 7)

Evaluate. Write your answer as a mixed number.

9 4/5 ÷ 3 1/2=

Answers

Answer:

2 4/5

Step-by-step explanation:

Answer:

It is 1 19/30. Hope that helped

help me 4 + 2p = 10 ( 3/5p - 2)​

Answers

P= 6

4+2p = 10(3/5p - 2)
4+2p = 6p - 20
4 = 4p - 20
24 = 4p
6 = p

Convert the fraction into a decimal by dividing
1. 4 / 5
2. 1 / 6
3. 5 / 12
4. 8/11
5. 22 / 95

Answers

Step-by-step explanation:

1. 0.8

2. 0.6 repeted

3. 0.146 the 6 is repeated

4. 0.72 repeated

5. 0.23157894..

PLEASE ANSWER
Which expression is equivalent to -16 -9?
A. -16 + (-9)
B. 16 + 9
C. 16 + (-9)
D. -16 + 9

Answers

I believe that the answer is A.

Answer:

A is correct Step-by-step explanation:

Above is a table with missing terms. Come up with a possible common difference that makes sense and list the missing terms.

Answers

Answer:

common ratio:2 2. 18  3.36  4.72 equation: 4.5([tex]2^x[/tex])

Step-by-step explanation:

144=2*2*2*2*3*3    9=3*3

the common ratio would be 2

2. 9*2=18

3. 18*2=36

4. 36*2=72

(check) 72*2=144

0. 9/2=4.5

equation: 4.5([tex]2^x[/tex])

HURRY WILL GIVE BRAINIEST!!!!!
Simplifies each expression.
A.) 8^-2
B.)1/3^-3
C.)6^12*6^8*6^0

Answers

Answers:

a) [tex]\frac{1}{64}[/tex]

b) 27

c) [tex]6^{20}[/tex]

solve for x
choices
30
22.5
45

Answers

Answer:

I don't get the question?

Step-by-step explanation:

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