Steven is 42 inches tall. On average he grows at a rate of 5.5% each year. How tall will
Steven be in 3 years?

Answer:

3x - 4

---------

10(x + 3)

Step-by-step explanation:

  x -2            x - 3

----------- ( - ) ----------

2x + 6         5x + 15

Multiply both sides by the denominator

 5(x - 2)           2( x - 3)

-----------   ( - )    ----------

5(2)(x + 3)      2(5)(x + 3)

multiply the numbers together

5x - 10          2x - 6

----------- ( - ) ---------

10(x + 3)      10(x + 3)

Subtract the numberator

5x - 10 - (2x - 6)

5x - 10 - 2x + 6

5x - 2x = 3x

-10 + 6 = -4

3x - 4

3x - 4

----------

10(x + 3)

I hope this helps!

Answer:

The least common denominator of [tex]-1\frac{2}{8}[/tex] and [tex]2\frac{3}{4}[/tex] is 8

Answer:

20.25 pi

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

9 pi = 2 * pi *r

Divide each side by 2pi

9pi / 2 pi = 2 pi r / 2 pi

4.5 = r

Now we can find area

A = pi r^2

= pi ( 4.5)^2

20.25 pi

The probability that at least 10 pineapples in a case of 12 are ripe within four days as described in the task content is; 0.783

From the task content;

On this note, the probability for ripening of each apple is; 0.94.

Ultimately, the probability that at least 10 pineapples in a case of 12 are ripe within four days is therefore; 0.94 × 10/12 = 0.783.

Read more on probability;

https://brainly.com/question/18916756

Answer:

Step-by-step explanation:

The set of relationships can be formulated as three equations in three unknowns. These can be written as an augmented matrix and solved using a calculator.

Let x, y, z represent the numbers of compact, midsize, and luxury cars, respectively. Then the relations are ...

  x + y + z = 48 . . . . . . total number of cars purchased

  13x +25y +39z = 932 . . . . . total cost in thousands

  20x +27y +45z = 1265 . . . . daily rental revenue

The augmented matrix of coefficients looks like ...

  [tex]\left[\begin{array}{ccc|c}1&1&1&48\\13&25&39&932\\20&27&45&1265\end{array}\right][/tex]

And its solution is ...

  (x, y, z) = (25, 15, 8)

The agency should purchase 25 compacts, 15 midsize, and 8 luxury cars.

Answer:

14 m²

area of sqaure pyramid: a² + 2(a)(l)

area:

Answer:

9

Step-by-step explanation:

To answer this we add 8 to both sides:

x-8+8 = 1+8

x = 9

This is our answer

Given:-

To find :-

Solution :-

X - 8 = 1

X = 1 + 8 ( signs change when transferred to opposite side )

X = 9

Answer:

-54/385

Step-by-step explanation:

Answer:

22 days

Step-by-step explanation:

55 divided by 2.5=22 days

Answer: 22 Days

Step-by-step explanation:

-55.00/2.50= -22
But since you can’t have a negative answer then you have to make it positive for your amount of days! So it would take that person 22 days to have 0 in his account!

- I hope this helped! I tried my best but definitely double check with your teacher for this answer!

Using the z-distribution, it is found that the margin of error for a 95% confidence interval is of $0.04.

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

The margin of error is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In this problem, the values of the parameters are:

[tex]z = 1.96, \sigma = 0.48, n = 576[/tex].

Hence, the margin of error, in dollars, is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.96\frac{0.48}{\sqrt{576}}[/tex]

M = 0.04.

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

27 miles

Step-by-step explanation:

27 miles is your answer

Answer:

5x10x9 Is the correct answer meaning that the answer is 450

Brainliest would be very appriciated

Step-by-step explanation:

EDIT: my bad i read the question wrong, the answer is D:450

sorry for any confusion ;^;

Answer

4 ≤ x ≤ 6 and |x - 5| ≤ 1

Step-by-step explanation:

I answered the question...i got it right...

Step-by-step explanation:

hope this helps, you can ask any questions for clarification

practice harder and harder you will get what you want

The frequency count that should be recorded for the soup category is 6.

Subtraction is the process of taking one number away from another number. The sign used to represent subtraction is -.

The frequency count on the table should be equal to the number of students. Thus, in order to determine the frequency count for the soup category, subtract 22 from the total frequency count.

The frequency count for the soup category = 22 - (5 + 8 + 2 + 1 ) = 6

To learn more about subtraction, please check: https://brainly.com/question/915789

Given Information :-

⠀

⠀

To Find :-

⠀

⠀

Formula Used :-

⠀

[tex] \qquad \star \: \underline{ \boxed{ \green{ \sf No.~of~sides = \dfrac{360^ \circ}{exterior ~angle}}}} \: \star[/tex]

⠀

Solution :-

⠀

Using the formula,

⠀

[tex] \sf \dashrightarrow No. ~of~sides= \dfrac{360}{40} \\ \\ \\ \sf \dashrightarrow No. ~of~sides= \frac{ \cancel{360}}{ \cancel{40} } \\ \\ \\ \sf \dashrightarrow No. ~of~sides= \underline{ \boxed{ \blue { \frak{9}}}} \: \star[/tex]

⠀

Thus, the polygon is a nonagon, and hence has 9 sides.

⠀

[tex] \underline{\rule{227pt}{2pt}} \\ \\ [/tex]

Answer:

If a cone and a cylinder have the same base and the same height, then the volume of the cone is of the volume of the cylinder. For example, the cylinder and cone shown here both have a base with radius 3 feet and a height of 7 feet. The cylinder has a volume of cubic feet since .

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

942.84 cm³

Step-by-step explanation:

volume of 1 can = πr²h = 22/7 × 5/2 × 5/2 × 8

= 157.14 cm³

volume of juice in 6 cans = 6 × 157.14 = 942.84cm³

Answer:

A=0.51

B=0.73

C=0.41

D=A student taking algebra II is dependent on whether they prefer it and a student being in 10th grade is dependent on their age

Step-by-step explanation:

These answers are all in fractions btw

A)5/255+20/245+65/225+90/725=0.514267 which rounds to 0.51

B)100+65=165

165/225=0.73

C)100/245=0.41

Hope it helps !

Answer:

1/5 is the answer in my calculations

Answer:

x = 73° , x = 7

Step-by-step explanation:

(1)

the measure of an inscribed angle is half the measure of its intercepted arc.

∠ B = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 128° = 64°

the sum of the 3 angles in Δ ABC = 180°

then

x = 180° - (64 + 43)° = 180° - 107° = 73°

(2)

2 chords iintersecting in a circle, then

the products of the parts of one chord is equal to the product of the parts of the other chord, that is

KH × HI = JH × HG ( substitute values )

10x = 14 × 5 = 70 ( divide both sides by 10 )

x = 7

Step-by-step explanation:

The graph looks like the above picture

Answer:

Image Attached

Step-by-step explanation:

Hello!

To have points with whole numbers, multiples of 3 need to be used for x.

x = 3

y = (1/3)(3)²y = (1/3)(9)y = 3

x = 6

y = (1/3)(6)²y = (1/3)(36)y = 12

x = 9

y = (1/3)(9)²y = (1/3)(81)y = 27

x = 12

y = (1/3)(12)²y = (1/3)(144)y = 48

x = 15

y = (1/3)(15)²y = (1/3)(225)y = 75

Two images are attached, one in correlation to y = x^2, and the original graph with the given points (3,3), (6,12), (9,27), (12,48), (15, 75).

Answer:

x = 2

x = - 2

Step-by-step explanation:

⇒ 1: Common Factor

⇒ 2: Use the sum-product pattern

⇒ 3: Common factor from the two pairs

I dont feel like adding more details.

- rewrite in factored form

16(x(x+2)-2(x+2))=0

16(x-2)(x+2)=0

- create seperate equations

16(x-2)(x+2)=0

x-2=0

x+2=0

- solve

*rearrange and isolate the variable to find each solution

x = -2

x = 2

Answer:

B.x=2

Step-by-step explanation:

[tex]16x ^{2} - 64 = 0[/tex]

[tex]16x ^{2} = 64[/tex]

[tex]4 ^{2} {x}^{2} = {4}^{3} [/tex]

[tex] {x}^{2} = \frac{4 ^{3} }{4 ^{2} } [/tex]

[tex]x^{2} = 4[/tex]

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

[tex]x = 2[/tex]

Check the picture below.