Jacob spent 24% of his allowance last week. What fraction of his allowance did Jacob spend? Write the answer in simplest form.

Answer:

Assuming that the notation there is meant as:

[tex](3c)^{-2}[/tex]

then the answer would be 1/(9c²)

If the -2 is indeed just subtraction and not an exponent, then it is simply 3c - 2

The expression equivalent to 1/9c².

An expression is a set of terms combined using the operations +, – , x or for example 4 x − 3 or x 2 – x y + 17 .

An equation states that two expressions are equal in value,

for example 4 b − 2 = 6 .

Given:

[tex](3c)^{-2}[/tex]

To make the power positive, just do the reciprocal

=1/ (3c)²

=1/9c²

Hence, the expression

[tex](3c)^{-2}[/tex] is equivalent to 1/9c².

Learn more about expression here:

https://brainly.com/question/11742947

#SPJ2

Answer:

D=4

C=12.56

Step-by-step explanation:

D=2r

d=2×2

D=4

C=pi ×D

C=3.14×4

C=12.56

Step-by-step explanation:

first: if we add 3x+7 and 4x+5, it will total a 180 degree angle. This will allow us to solve for x.

3x+7+4x+5=180

7x+12=180

7x=180-12

7x=168

x=24

now we can also see that angle 6 is the same as the angle 3x+7.  and Since we know x=24, we can solve for those angles.

3(24)+7:

72+7=79

So :

<6 =79°

Given:

The graph of a function.

To find:

The range of the function.

Solution:

Range is the set of y-values or output values.

From the given graph it is clear that,

[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]

[tex]f(x)\to \infty\text{ as }x\to \infty[/tex]

And the value function can be any real number. So,

Range = [tex]-\infty<y<\infty[/tex]

Range = [tex](-\infty, \infty)[/tex]

Range = y is all real numbers.​

Therefore, the correct option is D.

Answer:

D. y is all real numbers.​

Step-by-step explanation:

Range is the set of y-values or output values.

From the given graph it is clear that,

And the value function can be any real number. So,

Range =

Range =

Range = y is all real numbers.​

Therefore, the correct option is D.

Answer:

54 inches

Step-by-step explanation:

let 4x = the bigger piece

let x = the smaller one

4x + x = 270

5x = 270

x = 54

Answer:

54 inches

Step-by-step explanation:

x + 4x = 270

5x = 270

x = 54 (shorter piece)

4x = 216 (longer piece)

Answer:

I think it's 10 gallons less than Evan

It is 3 cause they are all the same leatheth so 3

Answer:

no its 2

Step-by-step explanation:

because 21+3=7. and 14+7=2. so it's 2

Answer:

x=10

Step-by-step explanation:

right angle is always 90

we can add 4+6=10

90-10=80

3*x+5*x=8*x

8*x=80

divide both sides by eight

x=10

Answer:

113

Step-by-step explanation:

divide the volume with the length

Answer:

1.414

Step-by-step explanation:

Answer:

The one is the y intercept so you would place it at (0,1) and then sense the slope is 2/1 you would either go back one and down two or go up two and over one

Step-by-step explanation:

Answer:

h(x)=6x-26

Step-by-step explanation:

f(x)=5x-10

g(x)=x-16

h(x)=f(x)+g(x)=(5x-10)+(x-16) = 6x-26

Answer:

8x - 40 > 200

Step-by-step explanation:

Answer:(-1/2^x)(50000)

Step-by-step explanation:

Step-by-step explanation:

use the pythagorean theorem to find the length of the leg in the triangle below

Answer:

x=-7

Step-by-step explanation:

[tex]x = 21 \div - 3 \\ x = - 7[/tex]

Answer: -7

Step-by-step explanation:

Move all terms that don't contain

x

x

to the right side and solve

Answer:

Salome is 29 inches tall.

Step-by-step explanation:

Each feet has 12 inches.

Salome:

Salome is 2 feet 5 inches tall.

Since each has 12 inches, 2 feet = 2*12 = 24 inches

24 + 5 = 29 inches.

So Salome is 29 inches tall.

Answer and explanation:

1. 15 girls to 6 boys = 15:6

15/6= 5/2

2. 24 players to 3 teams = 24:3

24/3= 8/1=8

3. 48 worksheets to 12 students =48:12

48/12= 4/1

4. 4/7 and 24/35 are not proportional as they do not reduce to same ratio

5. 11/12 and 33/36 are proportional because they reduce to same same ratio(33/36=11/12)

6. 8/24 and 5/15 are proportional beacaue they reduce to same ratio(8/24=5/15=1/3)

7. 3/7 and 12/21 are not proportional because they do not reduce to same ratio(3/7≠12/21)

8. 25 cars in 5 days= 25/5= 5 cars each day. 60 cars in 12 days = 60/12=5 cars each day. Therefore they are proportional.

9. 14 books in 2 boxes= 7 books per box. 20 books in 3 boxes = 20/3= 6.667. Therefore they are not proportional.

10. 12 laps in 30 minutes =12/30=2/5

15 laps in 45 minutes =15/45=1/3. Therefore they are not proportional.

Answer:

By rounding each number to the nearst whole number, estimate the solution:

2.7²X4.3=31.347

8.8-5.15=3.65

for this 31 and 4 if you want to round

Step-by-step explanation:

Answer:

?????????

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

1. Linear because it is of the form y = mx + b. The variable x  is of the first degree.

The coefficient of x (1/3)  ( = slope) is positive so it is increasing.

2. This is non-linear because the variable x is an exponent.

3. Because  its of the second degree (x^2) - it is non-linear.

Answer:

x ≈ 2.4

Step-by-step explanation:

Area of the triangle = 1/2 absin theta

Find the diagram of the triangle attached

a = 2x-3

b =x+2

theta = 45°

Substitute and find x

4√2 = 1/2(2x-3)(x+2)sin45

8/√2 = (2x-3)(x+2)(1/√2)

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

Expand

8 = 2x²+4x-3x-6

2x²+x-6-8=0

2x²+x-14 = 0

x = -1±√1²-4(14)(2)/2(2)

x = -1±√1+112/4

x = -1±√113/4

x = -1+10.63/4

x = 9.63/4

x = 2.4

The value of x is 3.075.

Given that,

The area of the triangle is [tex]4\sqrt{2}[/tex] square meter,

and [tex]\theta[/tex] is 45 degrees.

The one side of the triangle is (2x-3) and the other side of the triangle is (x+2).

We have to determine

The value of x.

According to the question

The area of the triangle is determined by the following formula,

[tex]\rm Area \ of \ triangle = \dfrac{1}{2} sin\theta[/tex]

Substitute all the values in the formula

[tex]\rm Area \ of \ triangle = \dfrac{1}{2} absin\theta\\\\4\sqrt{2} = \dfrac{1}{2} (2x-3)(x+2) sin45\\\\2\times4\sqrt{2} = (2x^2+4x-3x-6)\dfrac{1}{\sqrt{2} }\\\\\sqrt{2} \times8\sqrt{2} = (2x^2+x-6)\\\\8\times2 = (2x^2+x-6)\\\\16 = 2x^2+x-6\\\\2x^2+x-6-16=0\\\\2x^2+x-22=0\\\\x = \dfrac{-b\pm\sqrt{b^2-4ac} }{2a}\\\\x = \dfrac{-1\pm\sqrt{(-1)^2-4\times2\times(-22)} }{2\times2}\\\\x = \dfrac{-1\pm \sqrt{177} }{4}\\\\x = \dfrac{-`1\pm13.30 }{4}\\\\[/tex]

[tex]\rm x = \dfrac{-1+13.30}{4} \ and \ x = \dfrac{-1-13.30}{4} \\\\x = \dfrac{12.30}{4} \ and \ x= \dfrac{-14.30}{4}\\\\x = 3.075 \ and \ x = -3.575[/tex]

The value of x can not be negative so the value of x is 3.075.

Hence, The required value of x is 3.075.

For more details refer to the link given below.

https://brainly.com/question/15894203

Answer:1/4

Step-by-step explanation:

2/8 = 1/4

2/8 over 2 is 1/4

Answer:

The inside of the pentagon and the angle outside the pentagon can add up the the angle of 180 degrees.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Exterior angles of any polygon sum to 360°

We have:

Answer:

18

Step-by-step explanation:

Answer: answer is 8 because -5 + 1 = -4 then + 10 = 4

Answer:

see photos

Step-by-step explanation:

Plato/Edmentum

Answer 1029

Step-by-step explanation: So, since all of the phones cost 3,069 in total, divide 3,069 by three. You get 1029.

Answer:

√6: 2.44

Step-by-step explanation:

first one since it's closer to the square root of 6

Answer:

243

Step-by-step explanation:

3*3*3*3*3