The sum of one third of a number and 2 1/3 is 9 find number

Answers

Answer 1

Answer:

  20

Step-by-step explanation:

The given relation can be written as the 2-step linear equation ...

  (1/3)n +2 1/3 = 9

  n +7 = 27 . . . . . . . . . step 1: multipy by 3 (makes the coefficient = 1)

  n = 20 . . . . . . . . . . . step 2: subtract 7 (separates variable from constant)

The number is 20.

_____

Additional comment

Usually it is convenient to do the two steps in the opposite order: get the variable term by itself, then make its coefficient 1. Here, we chose the order we did because it eliminated fractions from the problem, which is often a step you'd like to do first.


Related Questions

(25 pts!!! help needed asap) x2y3z Write the expression in exponential form. A) x2yz4 B) x6y7z4 C) x 1 2 y 3 4 z D) x 1 2 y 3 4 z 1 4

Answers

Answer:

D

Step-by-step explanation:

Given expression :

[tex]\sqrt[4]{x^{2}y^{3}z }[/tex]

Solving :

A number with the 4th root is the same as a number raised to the power 1/4[tex](x^{2})^{1/4}(y^{3})^{1/4}(z)^{1/4}[/tex][tex]x^{\frac{1}{2}} y^{\frac{3}{4}}z^{\frac{1}{4} }[/tex] [Option D]

Answer:

D   [tex]\sf x^{\frac12} y^{\frac34} z^{\frac14}[/tex]

Step-by-step explanation:

[tex]\sqrt[4]{\sf x^2y^3z}=\sqrt[4]{\sf x^2y^3z^1}[/tex]

Apply the Radical Product Rule  [tex]\sqrt{\sf ab} =\sqrt{\sf a}\sqrt{\sf b}[/tex] :

[tex]\implies \sqrt[4]{\sf x^2}\sqrt[4]{\sf y^3}\sqrt[4]{\sf z}[/tex]

Apply fractional exponent rule [tex]\sqrt[n]{\sf a^m} = \sf a^{\frac{m}{n}}[/tex] :

[tex]\sf \implies x^{\frac24} y^{\frac34} z^{\frac14}[/tex]

Simplify:

[tex]\sf \implies x^{\frac12} y^{\frac34} z^{\frac14}[/tex]

How can we write the domain and range for a function that is not piece-wise such as y=x?​

Answers

Answer:

(−∞,∞)

Step-by-step explanation:

For every x value there is, there is an equivalent y value, thus there are infinite x and y values that satisfy this equation.

Hope this helps!!!

A circular plot of land has a diameter of 16 yards. what is the area of the
land? use 3.14 for t.

Answers

Here's the solution :

radius = 8 yards ( half the diameter )

now, we know,

[tex]area=[/tex] [tex]\pi r^2[/tex]

let's solve,

[tex]3.14[/tex] × [tex]8[/tex] × [tex]8[/tex]

[tex]200.96[/tex] [tex]yd^{2}[/tex]

so, correct answer is [tex]200.96[/tex] [tex]yd^2[/tex]

Solve the equation and enter the value of x below.
-3x-9=-27
x=

Answers

Answer:

6

Step-by-step explanation:

-3x=-27+9

-3x=-18

x=-18/-3

x=6

Answer:

[tex]\displaystyle 6 = x[/tex]

Step-by-step explanation:

[tex]\displaystyle -3x - 9 = -27 \hookrightarrow \frac{-3x}{-3} = \frac{-18}{-3} \\ \\ x = 6[/tex]

I am joyous to assist you at any time.

Luke bought a video game system that costs $99.95 and games that cost $19.99 each. Bella bought a game system that costs $125.79 and games that cost $15.99 each. Luke spent no more than what Bella spent.

Which inequality represents this situation?

99.95 + 19.99x < 125.79 + 15.99x

99.95 + 19.99x < 125.79 + 15.99x

99.95 + 19.99x > 125.79 + 15.99x

99.95 + 19.99x > 125.79 + 15.99x

Answers

Answer:

a

Step-by-step explanation:

because < means bigger and 125 is bigger than 99

Answer:

99.95 + 19.99x ≤ 125.79 + 15.99y    

Step-by-step explanation:

Given:

Luke bought a video game system that costs $99.95 and games that cost $19.99 each.

Bella bought a game system that costs $125.79 and games that cost $15.99 each.

Luke spent no more than what Bella spent.

To Find:

Which inequality represents this situation?

Solve:

Let Luke bought = x.

Let Bella bought = y.

How much Luke paid = $99.95 + $19.99 × x = $99.95 + $19.99x

How much Bella paid = $125.79 + $15.99 × y = $125.79 + $15.99y

Luke paid is equal or lesser than how much Bella paid, then

99.95 + 19.99x ≤ 125.79 + 15.99y              

~lenvy~

A village loses 20% of their goats to the flood and 5% die from diseases. There are 8084 goats left, how many goats were their originally.

Answers

Answer:

10779

i think some error in this question

A and b are supplementary angles. angle a measures 67° what is the measure of angle b​

Answers

Answer:

113°

Step-by-step explanation:

because supplementary angles add up to 180°

thus if a is 67° then we subtract 67° from 180° and b will be 113°

What's the answer?? I really need help

Answers

Answer:

100in^3

Step-by-step explanation:

1. Split the shape into 2 separate rectangles.

2. Use the volume of a rectangle formula for each and add together (look at picture above).

I hop this helps! Have a blessed rest of the night!

Simplify the equation
X^2 +x

Answers

x^2 + x

---Both of these terms both contain an x, which means we can factor out one x.

x(x + 1)

Simplified: x(x + 1)

Hope this helps!

Determine if (2, - 1) is a solution 2x - 4y = 8 to the system - 3x + 6

Answers

Answer:

not a solution

Step-by-step explanation:

substitute the coordinates of the point into both equations and compare values on both sides. If both equations are true then the point is a solution.

2(2) - 4(- 1) = 4 + 4 = 8 ← true

- 3(2) + 6 = - 6 + 6 = 0 ≠ - 1

then (2, - 1 ) is not a solution of the system

Subtract 17a²b from 2a²b

Answers

Answer:

-[tex]15 {a}^{2}b[/tex]

Thank you please help if you can

Answers

Answer:

The answer is -

15.5^2 Mi

Give brainliest if it helps you

-4x - 8 = -(5x + 3) pleasee

Answers

hopefully it's correct!!

Answer:

x = 5

Step-by-step explanation:

-(5x + 3) --> -5x - 3

-4x - 8 = -5x - 3

-4x - 8 + 8 = -5x - 3 + 8 (add 8 to both sides)

-4x = -5x + 5

-4x + 5x = -5x + 5 + 5x (add 5 to both sides)

x = 5

The population of the town of fort mill was 10,811 in 2010. what is the population in 2016 if it grew 7.5% per year

Answers

Answer:

16,688 people lived in that town in 2016.

Step-by-step explanation:

10,811 + 7.5% = 11,621.8 = 11,622 (2011)

11,622 + 7.5% = 12,493.6 = 12,494 (2012)

12,494 + 7.5% = 13,431.05 = 13,432 (2013)

13,432 + 7.5% = 14,439.4 = 14,440 (2014)

14,440 + 7.5% = 15,523 (2015)

15,523 + 7.5% = 16,687.225 = 16,688 (2016)

the standard form of a linear equation is the form ______________

Answers

Answer:

Ax+By=C

Step-by-step explanation:

:)

Find the perimeter.
Write your answer as a fraction or as a whole or mixed number.
3
1
4
in
112 in
1
in
12
NA
1
1
in
.
inches

Answers

Answer:

7 1/3 inches

Step-by-step explanation:

2 (1 3/4 + 1 11/12)

9+11

3/4+11/12= -------------

12

20/12

=1 2/3+ 2

2(3 2/3)

= 7 1/3

A certain type of steel is 65% iron. How many pounds of iron are in 120 pounds of this steel?

Answers

= 65% x 120 = 78 pounds of iron

Answer:

78

Step-by-step explanation:

65% of 120 = 78

Determine whether the following sequence is geometric. If so, find the common ratio,
1.-3.9. - 27,...

Answers

Answer:

Yes, the sequence is geometric

common ratio (r) = -3

Step-by-step explanation:

Given:

[tex]a_1=1[/tex][tex]a_2=-3[/tex][tex]a_3=9[/tex][tex]a_4=-27[/tex]

If a sequence is geometric, common ratio [tex]r[/tex]:

[tex]r=\dfrac{a_4}{a_3}=\dfrac{a_3}{a_2}=\dfrac{a_2}{a_1}[/tex]

Substituting the given values:

[tex]\implies \dfrac{a_4}{a_3}=\dfrac{-27}{9}=-3[/tex]

[tex]\implies \dfrac{a_3}{a_2}=\dfrac{9}{-3}=-3[/tex]

[tex]\implies \dfrac{a_2}{a_1}=\dfrac{-3}{1}=-3[/tex]

Therefore, as

[tex]\dfrac{a_4}{a_3}=\dfrac{a_3}{a_2}=\dfrac{a_2}{a_1}=-3[/tex]

the sequence is geometric with common ratio of -3

Victor+earns+a+gross+annual+income+of+$84,482+and+is+buying+a+home+for+$185,500. +he+is+making+a+15%+down+payment+and+financing+the+rest+with+a+25-year+loan+at+4. 25%+interest

Answers

Answer:

185,500 -.15(185,500)=157,675

Yes he can afford it, it doesn't go over his income and it's %27 below.

Select the correct answer from each drop-down menu. jordan is tracking a recent online purchase. the shipping costs state that the item will be shipped in a 24-inch long box with a volume of 2,880 cubic inches. the width of the box is seven inches less than the height. the volume of a rectangular prism is found using the formula v = lwh, where l is the length, w is the width, and h is the height. complete the equation that models the volume of the box in terms of its height, x, in inches. x2 - x = is it possible for the height of the box to be 15 inches?

Answers

Answer:

A. We are given that the length of the box is equal to 24 as indicted in the "24-inch long". From the given, it is also stated that the width of the box is 7 inches less than the height. If the height of the box is x, the width is then x - 7. The equation that would let us solve the problem is,

                           2880 = 24(x)(x - 7)

Simplifying,

                           2880 = 24x² - 168x

B. The value of x from the equation is 15. Thus, the answer is YES.

Step-by-step explanation:

a) The equation that models the volume of the box in terms of its height will be 2880 = 24x² - 168x.

b)Yes, it is possible for the height of the box to be 15 inches

What is volume?

Volume is the three-dimensional space bounded by a boundary or inhabited by an item.

The given data in the problem is;

L is the length of the box= 24-inch

V is the volume = 2,880 cubic inches.W

W is the width of the box

h is the height

Let the side of the box is x then volume V is found as;

V=LWh

2880 = 24(x)(x - 7)

2880 = 24x² - 168x

Hence the equation that models the volume of the box in terms of its height will be 2880 = 24x² - 168x.

b)Yes, it is possible for the height of the  box to be 15 inches

The value of x obtained from the equation is 15.

Hence yes, it is possible for the height of the  box to be 15 inches

To learn more about the volume refer to the link;

https://brainly.com/question/1578538

Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?

x > 38
x < 39
x < 77
x > 103

Answers

Answer: x>38

Step-by-step explanation:

By the exterior angle theorem, x=39+38=77.

A giraffe runs at a rate of 32 miles per hour. Which equation models the situation?

h = time spent running, in hours
d = distance run in miles
32h = d
32d = h
h = 32 + d
h = 32 – d

Answers

*Whenever a questions asks about “rate”, time should always be the denominator*
Think also about the speed = distance / time equation
In this case rate basically means speed
Answer: 32h = d because when you rearrange you will get d/h = 32 where distance over hours = speed which in this case is 32 mph

Answer:

32h=d

Step-by-step explanation:

yea, this is big brain time lol

also edge lol

Identify the domain and range of the relation.
x −5 −2 1 5
y 10 11 4 10 what is the function

Answers

Answer:

Domain: -5, -2, 1, 5

Range: 10, 11, 4, 10

To get the function, you need to create an equation.

Step-by-step explanation:

For example, f(x)= 10x. "x" equals your y value, and "10" is where you plug in your range, or in other words, your y-values.

Simplify: 5x3+3x2−(−x−6x2)+4x−x2

Answers

Answer: 33 plus 3x

Step-by-step explanation:  simplified it

Answer:

The answer is 5x3+8x2+5x

Step-by-step explanation:

I neeed helpppppppppppppppppppp

Answers

Answer:

1: 1; 3: 4; 5: 3

Step-by-step explanation:

when you have a negative exponent it basically is the regular exponent but the number is put over one

so 2^-2 is 1/2^2 which is 1/4

1/4 * 4 is 1

then for three

you have

(1/2)^-1

when the number is a fraction and you have a negative exponent you can put the number on the top

so this is 2

2 * 2 is 4

for the last one

anything times 0 is 1

this means that the answer is 3

Answer:

1. 1

3. 4

5. 3

Step-by-step explanation:

3.y= 2 (1/2)^x where x= -2

1/2=2^-1

(2^-1)^-1

-1×-1

=1

=2^1

2 (2)

=4

1. y=4 (2)^x

2^-2

1/2^2

=1/4

=4×1/4

=1

5.y=3 (1/3)^X

1/3=3^-1

(3^-1)^0

3^0

=1

3(1)

=3

154-54(79-1554)+12x24

Answers

Answer:

80092

Step-by-step explanation:

Answer:

80092.

Step-by-step explanation:

Given equation:

154 - 54 * (79 - 1554) + 12 * 24

Step-By-Step:

Step 1

Subtract the numbers:

154 - 54 * (79 - 1554) + 12 * 24= 154 - 54 * (-1475) + 12 * 24

Step 2

Multiply the numbers:

154 - 54 * (-1475) + 12 * 24= 154 + 79650 + 288

Step 3

Add the numbers:

154 + 79650 + 288= 80092.

Answer is 80092.

What is the relationship between the ratios? 10/24 and 5/12 Proportional Not proportional (the numbers are fractions)

Answers

Answer:

Proportional

Step-by-step explanation:

[tex]\frac{10}{24}= \frac{5}{12}[/tex] the ratio is 2:1

5 x 2 = 10

12 x 2=24

The ratios are proportional.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

Kallmekrish

Answer:

The given ratios are proportional

Step-by-step explanation:

To consider the fractions as "proportional", they must be equivalent. Let us assume that the fractions are equivalent. Then, we get;

[tex]\implies \dfrac{10}{24} = \dfrac{5}{12}[/tex]

When using cross multiplication, we get;

[tex]\implies \dfrac{10}{24} = \dfrac{5}{12}[/tex]

[tex]\implies 10 \times 12 = 24 \times 5[/tex]

When simplified, we get;

[tex]\implies 10 \times 12 = 24 \times 5[/tex]

[tex]\implies 120 = 120 \ \checkmark[/tex]

Therefore, the relationship is proportional.

Answer these questions

Answers

Answer:

62

8.8

2.7

Step-by-step explanation:

that should be right. try that out

Answer:

62,8.8,2.8

Step-by-step explanation:

Need help. can anyone please give an explanation along with the answer?

Answers

Answer:

what's the question

Step-by-step explanation:

Help as soon as possible thanks

Answers

6x11=66ft
3x14=42ft

Add the answers together
42+66
= 108 squared feet
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