Change 2/5 to a decimal

Answer:

[tex] \frac{PQ}{QR} = \frac{-4}{3} [/tex]

Step-by-step explanation:

Given that ∆PQR ~ ∆RST, if [tex] \frac{PQ}{QR} [/tex] gives us the slope of line PR, it will also be equivalent to the slope of line RT, which is given as [tex] \frac{PQ}{QR} [/tex].

Therefore:

[tex] \frac{PQ}{QR} = \frac{RS}{ST} [/tex]

[tex] \frac{PQ}{QR} = \frac{-5 - 3}{2 -(-4)} [/tex]

[tex] = \frac{-8}{2 + 4} [/tex]

[tex] = \frac{-8}{6} [/tex]

[tex] \frac{PQ}{QR} = \frac{-4}{3} [/tex]

Answer:

Step-by-step explanation:

[tex]\sqrt{18}=\sqrt{2*3*3}=3\sqrt{2}[/tex]

[tex]\sqrt{12}=\sqrt{2*2*3}=2\sqrt{3}[/tex]

[tex]A=\sqrt{2}+\sqrt{18}\\\\=\sqrt{2}+3\sqrt{2}\\\\=(1+3)\sqrt{2}\\\\=4\sqrt{2}[/tex]

[tex]B=\sqrt{3}+\sqrt{12}=\sqrt{3}+2\sqrt{3}\\\\ = (1+2)\sqrt{3}\\\\ = 3\sqrt{3}[/tex]

[tex]\sqrt{B^{2}+A^{2}-2*B*A}=\sqrt{(B-A)^{2}}\\\\=B-A\\\\=3\sqrt{3}-4\sqrt{2}[/tex]

= 3* 1.732 - 4 *1.4142

= 5.196 - 5.6568

= -0.4608

Exact Answer:   [tex]4\sqrt{2} - 3\sqrt{3}[/tex]

Approximate Answer:  0.46070182678574

Round the approximate value however you need to.

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Work Shown:

[tex]C = \sqrt{ B^2 + A^2 - 2BA}\\\\C = \sqrt{ B^2 - 2BA + A^2}\\\\C = \sqrt{ (B-A)^2 }\\\\C = -(B-A) \ \ \text{ see note below}\\\\C = -B+A\\\\C = A-B\\\\C = (A) - (B)\\\\[/tex]

[tex]C = (\sqrt{2}+\sqrt{18}) - (\sqrt{3}+\sqrt{12})\\\\C = \sqrt{2}+\sqrt{18} - \sqrt{3}-\sqrt{12}\\\\C = \sqrt{2}+\sqrt{9*2} - \sqrt{3}-\sqrt{4*3}\\\\C = \sqrt{2}+\sqrt{9}*\sqrt{2} - \sqrt{3}-\sqrt{4}*\sqrt{3}\\\\C = \sqrt{2}+3\sqrt{2} - \sqrt{3}-2\sqrt{3}\\\\C = 4\sqrt{2} - 3\sqrt{3} \ \ \text{ ..... exact value}\\\\C \approx 0.46070182678574 \ \ \text{ ..... approximate value}[/tex]

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Note: The rule used here is

If x is positive then [tex]\sqrt{x^2} = x[/tex]

Or if x is negative, then [tex]\sqrt{x^2} = -x[/tex]

Since B-A = -0.4607 approximately, we will use the second version of the rule above.

Answer:

1.5 pounds

Step-by-step explanation:

1 pound costs $8, $1 buys 1/8 pound

$12 buys 12/8=3/2=1.5 pounds

Answer:

12-8= 4

Step-by-step explanation:

one pound of it cost 8 dollars and he only has 12 so subtract 8 from 12 he only has enough to buy 1 pack.

Answer:

x = ± √15

Step-by-step explanation:

x 2 - 15 + 15 = 0 + 15

√ x 2 = ± √15

x = ± √15

Answer:

i just need points

Step-by-step explanation:

Answer:

A)2x+7

Step-by-step explanation:

-x+5+3x+2

2x+7

Answer:

60 and 72

Step-by-step explanation:

We can tell that each number is being added by 12 so add 48 with 12 and you get 60 and add 12 to 60 you get 72

Geometric

Answer:

a₅ = 37

Step-by-step explanation:

The term to term rule ' subtract 3 ' is the common difference d of an arithmetic sequence with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₁₂ = 16, then

a₁ + 11d = 16 ← substitute d = - 3

a₁ + 11(- 3) = 16

a₁ - 33 = 16 ( add 33 to both sides )

a₁ = 49 , then

a₅ = 49 + (4 × - 3) = 49 - 12 = 37

Answer:

1.yes

2. yes, and yes [tex]\frac{4}{1}[/tex]

3. yes, its a whole number.

4.yes

5. whole, intenger, rational, real

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

We can use proportions to solve

$8.25           x

------------- = ------------

3 cones       2 cones

Using cross products

8.25 * 2 = 3x

16.50 = 3x

Divide by 3

16.50 /3 = x

5.50 =x

2 cones will cost 5.50

Answer:

1.94

Step-by-step explanation:

Let the number be x

So when three times a number which is positive which means when a number is x so three times a number must be 3x is subtracted from the square of that number ,

now the number 3x is subtracted from its own square i guess it should look like this

[tex](3x)^2-3x[/tex]

and the answer is 28 so the final form of the problem should be

[tex](3x)^2-3x=28[/tex]

[tex]9x^{2} -3x-28=0[/tex]

now we solve the quadratic equation by using the quadratic formula and we two values for x

one is a positive value and the other is negative value we take the positive value as said in the question itself  "when three times a number which is positive" so that value of x is 1.94

Answer: 10%

Step-by-step explanation:

The following information can be gotten from the question regarding the number of people that went to the swimming pool are:

First week of July = 1020

Second week = 1020 - 100 = 920

Third week = 920 + 130 = 1050

Fourth week = 1050 - 132 = 918

The percentage decrease over the four weeks will be:

= (1020 - 918)/1020 × 100

= 102/1020 × 100

= 10%

Answer:

5/4

Step-by-step explanation:

Yeeeeeeeeeeeeeeeeeeeeeeee

Answer:

5/4

Step-by-step explanation:

Answer:

[tex]12[/tex]

Step-by-step explanation:

[tex] {4}^{2} - ( { - 2}^{2} ) \\ 16 - 4 \\ 12[/tex]

Answer:

I think ans-d is the answer

Step-by-step explanation:

plz mark me as brainlist

Answer:

x^5 is the missing

Answer:

3(-10.5)

Step-by-step explanation:

Answer:

3(-10.5)

Step-by-step explanation:

Answer: 6/11

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

You'll need to make compatible numbers first. Turn 22 to 44 and 4 to 11. Then change -9 to -18 and -3 to -6. -9 times -3 equals 3. and 44 divided by 11 is 4. So your answer is 3/4

Answer:

Step-by-step explanation:

-(-2)^2 - (8(-2)-2(-3)) + 4(-3)

-4 -(-16 + 6) - 12

-4 - (-10) - 12

-4 + 10 - 12

6 - 12 = -6

Answer:

C

Step-by-step explanation:

(45+(15))/3=20

Answer:

it is A

Step-by-step explanation:

you have to do Keep Change Flip on the step one that's on the picture 4 * 8 equals 32 five of the nominator * 1 equals 5 the answer is 32/5 they are asking another way to explain this answer. 6 2/5 is the answer because 5 times 6 =30 plus 2 thats on the top = 32/5

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

The solution to the linear equation –12 + 3b – 1 = –5 – b is:

b = 2

The linear equation is:

–12 + 3b – 1 = –5 – b

Collect like terms

-12  -  1 + 5  =  -b  -  3b

Simplify the rearranged equation

-8   =   -4b

Divide both sides by -4

[tex]\frac{-8}{-4} = \frac{-4b}{-4}[/tex]

The given expression, after dividing both sides by -4, will give:

2  =  b

Rewriting the resulting solution:

b  =  2

Therefore, the solution to the linear equation –12 + 3b – 1 = –5 – b is:

b = 2

Learn more here: https://brainly.com/question/2159099

Answer:

2 Cups

Step-by-step explanation:

Converting both fractions to have the same denominator, she has 6/10 of a quart, and each cup holds 3/10. Since she only has 6, 6/3 is 2.

The number of cups she can fill will be 2.

The mathematical expression combines 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 denote the logical syntax's operation order and other properties.

Given that Holly made 3/5 of a quart of tea for her tea party. She plans to fill small tea cups that hold 3/10 of a quart of tea.

The number of cups will be calculated as follows:-

Number = ( 3 / 5 ) ÷ ( 3 / 10 )

Number = ( 3 / 5 ) ÷ ( 10 / 3 )

Number = 10 / 5 ) = 2

Therefore, the number of cups she can fill will be 2.

To know more about an expression follow

https://brainly.com/question/28699958

#SPJ5

Answer:

[tex]11 \frac{3}{7}[/tex]

Step-by-step explanation:

80 divided by 7 is 11 with a remainder of 3.

Answer:

11 3/7

Step-by-step explanation:

How you get this is you divide 80 from 7. Since it is 11.(So many numbers), you are going to take that number you just got, and multiply it from 7- the number you were dividing. You will get 77. Then you minus it. 80-77 is 3, so your answer would be 11 3/7. Since this can't be reduced more, this is your answer.

Answer:

2

Step-by-step explanation:

15 + 5 × 3

________

  3² + 6

For this question, we need to use PEMDAS to solve the question correctly. PEMDAS stands for "parentheses, exponents, multiplication, division, addition, subtraction". In this question, for the numerator, we see 5 x 3 so that's multiplication. So we multiply those together to get 15. In the denominator, there's an exponent which is 3². We have to find the square of 3 so that we can simplify the denominator as well. That simplifies to 9:

(15+15)/(9+6)

Next, we just have to add the 15+15 in the numerator together and 9+6 in the denominator together:

30/15

Finally, we divide 30/15 to get 2 as our answer

2

Answer:

It is A trust.

Step-by-step explanation:

9/10 is the lowest because it is the only number that isn't whole then 1 1/2 cause it is one and a half with is equivalent 1.5 then 1.6 15/8 because it is 1 7/8

then 190% because it is the largest number

Answer:

tfgvb

Step-by-step explanation:

tfgcv

Answer:

Well the decimal points have to all be underneath eachother they can’t be all over the place or else you wouldn’t know where you need to put your decimal for your answer.

Step-by-step explanation:

Answer:

Sample Response: If you move the decimal point the same number of places in the dividend and the divisor, you are multiplying them both by the same power of 10. That does not change the quotient

Answer:

8.1 x 8.95 = 72.495

Step-by-step explanation:

Feet x $f = $$$

Answer:

The correct option is;

Alternate interior angles

Step-by-step explanation:

The m∠5 + m∠2 + m∠6 = 180° proof is given as follows;

Statement                [tex]{}[/tex]                        Reason

1. ABC is a triangle              [tex]{}[/tex]             Given

2. y ║ z                                [tex]{}[/tex]              Given

3. ∠1 ≅ ∠5; ∠3 ≅ ∠6                         Alternate interior angles

4. m∠1 = m∠5; m∠3 = m∠6        [tex]{}[/tex]       Definition of (congruency) ≅

5. m∠1 + m∠2 + ∠3 = m∠LAM        [tex]{}[/tex]  ∠Addition postulate

6. m∠1 + m∠2 + ∠3 = 180°        [tex]{}[/tex]        Definition of straight angles

7. m∠5 + m∠2 + ∠6 = 180°        [tex]{}[/tex]        Substitution property

Step 3;

Given that line y is parallel to line z, we have that the transversal AB will make equal corresponding angles with the lines y and z, therefore, ∠6 will be equivalent to segment AB extended

Which gives, ∠6 is supplementary to ∠a where ∠a = ∠1 + ∠2

Therefore, given that ∠3 is also supplementary to ∠a where as we have above, ∠a = ∠1 + ∠2, we have that ∠3 = ∠6 and ∠3 ≅ ∠6 where ∠3 and ∠6 are alternate interior angles;

Similarly, ∠1 ≅ ∠5 by alternate interior angles of two parallel lines property.

Answer:

The answer is A. alternate interior angles are congruent

Step-by-step explanation:

I tried all my options and that one was correct.