42.3952 to the nearest thousandths

Answer:

The answer would be A

Step-by-step explanation:

Answer:

a = -9

Step-by-step explanation:

8a=4(a-9)

Divide each side by 4

8a/4=4(a-9)/4

2a = a-9

Subtract a from each side

2a-a = a-9-a

a = -9

Answer:

-9

Step-by-step explanation:

8a = 4(a-9)

Use the distributive property (Multiply 4 times a, and 4 times -9)

8a = 4a - 36

Bring the 4a to the other side

8a - 4a = -36

Add like terms

4a = -36

Divide both sides by 4 to get a by itself

a = -9

Answer:

It equals 2900 decigrams

Step-by-step explanation:

29 dekagrams = 290 grams

290 grams = 2900 decigrams

Therefore, 29 dekagrams = 2900 decigrams

The equivalent weight in grams for a given weight in dekagrams is approximately 10 times the weight in dekagrams.

To find the equivalent weight in grams for a given weight in dekagrams, you can use the conversion factor that 1 dekagram (dag) is equal to 10 grams.

Given the information that 29 dekagrams equals 290 grams, you can set up a proportion:

[tex]\(\frac{29 \text{ dag}}{290 \text{ g}} = \frac{1 \text{ dag}}{x \text{ g}}\)[/tex]

Cross-multiplying:

[tex]\(29x = 290 \times 1\)[/tex]

Solving for x:

[tex]\(x = \frac{290}{29}\)\\\\\(x \approx 10\)[/tex]

Therefore, the equivalent weight in grams for a given weight in dekagrams is approximately 10 times the given weight in dekagrams.

To know more about weight, refer here:

https://brainly.com/question/32319871

#SPJ3

Complete Question:

If 29 dekagrams equals 290 grams, what is the equivalent weight in grams for a given weight in dekagrams?

Answer:

(a).

[tex] \frac{2}{5a} = \frac{4}{a - 1} \\ \\ 20a = 2a - 2 \\ 18a =- 2 \\ a = - \frac{1}{9} [/tex]

(b).

[tex] \frac{7}{2d - 5} = \frac{9}{3d + 4} \\ \\ 7(3d + 4) = 9(2d - 5) \\ 21d + 28 = 18d - 45 \\ 3d = - 73 \\ d = - \frac{73}{3} [/tex]

(c).

[tex] \frac{3}{e + 1} + \frac{1}{2e + 1} = 0 \\ 3(2e + 1) = - (e + 1) \\ 6e + 3 = -(e + 1) \\ 7e = - 4 \\ e = - \frac{4}{7} [/tex]

(d).

[tex] \frac{5}{2f - 5} - \frac{4}{7f + 1} = 0 \\ \\ \frac{5}{2f - 5} = \frac{4}{7f + 1} \\ \\ 5(7f + 1) = 4(2f - 5) \\ 35f + 5 = 8f - 20 \\ 27f = - 25 \\ f = - \frac{25}{27} [/tex]

(d).

Step-by-step explanation:

a)2/5a=4/a-1

By cross multiplication:

5a×4=2(a-1)

20a=2a-2

20a-2a=-2

18a=-2

a=-2/18

a=-1/9

b)7/2d-5=9/3d+4

By cross multiplication:

7(3d+4)=9(2d-5)

21d+28=18d-45

21d-18d=-45-28

3d=-73

d=-73/3

c)3/e+1 + 1/2e+1=0

3/e+1=-1/2e+1

By cross multiplication

3(2e+1)=-1(e+1)

6e+3=-e-1

6e+e=-1-3

7e=-4

e=-4/7

d)5/2f-5-4/7f+1=0

By cross multiplication

5/2f-5=4/7f+1

5(7f+1)=4(2f-5)

35f+5=8f-20

35f-8f=-20-5

27f=-25

f=-25/27

Answer:

Answer is Triangle P'R'Q' is larger, explain how you know is steps

Step-by-step explanation:

So a Dilation is the expansion or shrinkage of an object. Because this is being dilated by 1.5 it is growing by 1.5

So triangle PRQ is the smaller version of P'R'Q' because

Line PR  = 3.1

Line RQ = 3.9

Line QP = 5

Multiplying these by 1.5 you get

Line P'R' = 4.65

Line R'Q'= 5.85

Line Q'P' = 7.5

Answer:

25 - (6 x y) + (3 x y) = -56, y = 3.44

Step-by-step explanation:

-56 + 25 = 31, 6y + 3y = 9y, 31 = 9y, 31 / 9 = 3.44

it's a repeating number so uh yeah

y = 3.44

Answer:

Step-by-step explanation:

2x+1=x-4

2x-x= -4-1

1x=-5

Answer:

t(5x + 4)

Step-by-step explanation:

im not entirely sure if this is correct

Answer:

t×(5x+4)

Step-by-step explanation:

factor out t from the expression

Answer:

A.

[tex] \sqrt{x } \div 2[/tex]

is the answer

The choice which is equivalent to [tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}[/tex] is given by (A) [tex]\frac{\sqrt{x}}{2}[/tex].

Expression is a mathematical term that involves variables, numbers and other mathematical quantities and operations or combinations of them.

The given expression is [tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}[/tex]

Calculating the expression we get,

[tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}=\sqrt{\frac{2}{x}\cdot\frac{x^2}{8}}=\sqrt{\frac{x}{4}}=\frac{\sqrt{x}}{2}[/tex]

So the expression equals to [tex]\frac{\sqrt{x}}{2}[/tex].

Hence the correct option is (A).

Learn more about Expression here -

https://brainly.com/question/723406

#SPJ2

Answer:

yes it is.....................

Step-by-step explanation:

9.5 = 19/2

So it is a rational number (and so is not irrational)

A negative value is when money is taken out ( withdrawal). A positive value is when money is added to the account(deposit)

-10.40 is a withdrawal

8.50 is a deposit

Answer:

Hint :- Withdrawal is denoted as the -ve sign and deposit are denoted by the +ve sign. This is because if we deposit money then the money increase and if we withdraw then the money decreases.

-10.40

See there is a negative sign. This means it is a withdrawal

8.50

See there is a positive sign. This means it is a deposit

Answer:

19/40

Step-by-step explanation:

mark meeeeeee

The possible value of the other number will be 7√32. The correct option is D.

A rational number is one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively. For instance, every integer and 3/7 are rational numbers.

It is given that the first number is 3√2 the value of the second number will be:-

Rational number  = 3√2 x 7√32

Rational number  = 21√64

Rational number  = 21√( 8 x 8 )

Rational number  = 21 x 8

Rational number  = 168

Therefore, the possible value of the other number will be 7√32. The correct option is D.

To know more about rational numbers follow

https://brainly.com/question/12088221

#SPJ2

Answer:

Distance cannot be negative because no matter which direction you travel, you will never travel negative units.

Step-by-step explanation:

Distance cannot be negative in the same way that when you put a car in reverse, the odometer does not go backwards.

If you have a mailbox 30 feet east of your house and a park 30 feet west of your house, you can think of it like a number line: your house is 0, the park is -30 and the mailbox is 30. But, if you walk to your park, you have not walked -30 feet.

Answer:

The answer you are looking for is 27.

Step-by-step explanation:

The reason is because 27 is the 3rd multiple of 9.

Answer:

27

Because

[tex]9 = {3}^{2} \\ 27 = {3}^{3} \\ so. \: \: \: lcm = {3}^{3} = 27[/tex]

Answer:

17.

9x - 2 = 8x + 6 (opposite angles on the transversal)

9x - 8x = 6+2

x = 8

18.

-5 + 21x + 15x +5 = 180 (angles on the same side of transversal add up to 180)

36x = 180

x = 180/36

x = 5

19.

9x + 4 + 95 = 180  (angles on the same side of transversal add up to 180)

9x + 99 = 180

9x = 180-99

9x = 81

x = 81/9

x = 9

20.

16x - 2 = 110 (opposite angles on the transversal)

16x = 110 +2

16x = 112

x = 112/16

x = 7

21.

29x + 4 = 31x -4 (opposite angles on the transversal)

4 + 4 = 31x - 29x

2x = 8

x = 8/2

x= 4

22.

12x + 2 + 6x + 16 = 180(angles on the same side of transversal add up to 180)

18x +18 = 180

18x = 180-18

18x = 162

x = 162/18

x = 9

Hi ;-)

-4 ≤ 2x - 6 ≤ 12

2x - 6 ≥ -4  / + 6

2x ≥ 2  / : 2

x ≥ 1

2x - 6 ≤ 12  / + 6

2x ≤ 18  / : 2

x ≤ 9

Answer:

32/3 = 10 2/3

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

Sqrt x + 3 = 25 : 5

Sqrt x = 5-3

(Sqrt x)^2 = 2^2

X = 4

Answer:

B. 1

Step-by-step explanation:

Answer:

Option B is correct

The number of real number solutions for the given equation is, 1.

Step-by-step explanation:

Given the equation:  

Since, this is a quadratic equation of the form of  

where a =1 , b = -10 and c =25.

The discriminant of a quadratic equation is,  

then;

Discriminant =  = (100-100) = 0

Since, a  discriminant of zero means there is only one real solution for x.

Substitute the given values.

Simplify:

x = 5

Therefore, the number of real solution for the given equation is, 1

Answer:

32π in

= 100.48 in.

Step-by-step explanation:

From Area:

radius, r = √(A/π)

= √(256 π in²/π)

= 16 in

where π = 3.14

》 Circumference = 2π(r)

= 2π(16)

= 32π in.

= 100.48 in

Answer:

The cover has diameter of:

a.

Area of the pool cover:

b.

The length of the rope:

Answer:

Step-by-step explanation:

Add the length of the pool and the extent the pool cover [ 12in = 1ft ] has over the pool.

20 + 2 = 22ft

Part A:

The formula for the area of a circle is πr².

To find the radius just divide by two; 22 / 2 = 11ft

= π(11)²

= 121π

≈ 379.94ft

Part B:

We can use the circumference formula [ dπ ] to find how long the rope is.

= 22(3.14)

= 69.08ft

Best of Luck!

Answer:

1440 mL

Step-by-step explanation:

2 hours = 120 minutes

120/5 = 24

24 * 60 = 1440

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

{ - 3, 0 ]

Step-by-step explanation:

parenthesis ( ) is used when the interval does not include the end values

brackets [ ] are used when the interval includes the end values

The end values here are - 3 and 0 so brackets are used, that is

[ - 3, 0 ]

The Toolkit function that has a start and end number for the range and is also cyclic is ; The constant Function ( i.e. f(x) = a )

There are about (9) toolkit functions and some of these toolkit functions :

The common characteristics between the various toolkit functions is that they all have undefined domains ( i.e. ( - ∞ , ∞ ) or ( -∞, 0 ), and undefined ranges as well.  while the only Toolkit function with a defined range is the Constant function { a, a }

The range for a Constant function starts and ends with the value of the given constant. i.e. { a, a }. while other functions have undefined range values.

Hence we can conclude that the Toolkit function with a start and end number for the range is the Constant function.

Learn more : https://brainly.com/question/17348165

Answer:

The constant Function