A cactus casts a shadow that is 15 feet long. A gate nearby casts a shadow that is 5 feet long. Find x, the height of the cactus. in middle school

Answer:

for the seniors, the answer is $12, and for the children, the answer is 8.

Step-by-step explanation:

Answer:

44 pairs of boots

Step-by-step explanation:

As per two options given to Alice,

1). Wages of $33 for each day work + commission of $2.5 for every pair sold.

 If Alice sells x pairs of boots in a day, then total amount earned by Alice,

 = (33 + 2.5x)

2). Commission of $3.25 for every boot sold.

  If Alice sold x pairs of boots, total earnings of the day = 3.25x

If earning of Alice is equal in both the plans,

(33 + 2.5x) = 3.25x

3.25x - 2.5x = 33

0.75x = 33

x = 44

Therefore, for the sales of 44 pairs of the boots Alice will earn equal by both the plans.

Step-by-step explanation:

When you multiply exponents of the same base (variable), add the exponents.

1. The exponents are 12 - 4 + 6 = 14 or c^14

When you divide exponents of the same base, subtract them.

2. 8 - 2 = 6 or c^6

When you raise a power to a power, you multiply the exponents.

3. 4 * 5 = 20 or c^20

When a number is raised to a negative exponent it can be re written like this x^-n = 1/x^n.

4. x^-2 * y / x^4 * y^-1; using the above information, rewrite everything to have positive exponents. If the negative exponent is in the denominator, then it becomes x^n/1

y * y / x^2 * x^4 ; then just add your exponents to simplify

y^2 / x^6

As we said before, a power raised to a power is exponent x exponent.

5. (a^2 * b) ^-1 / (a^-3 * b^2)^-1 ; as before a power raised to a power, multiply the powers.

a^-2 * b-1 / a^3 * b^-2 rewrite this as before, inverting negative exponents. a^3 / a^2 * b^1 * b^2 = a^3 / a^2 * b^3

Simolifynthe new expression to reduce the a variable by subtracting the bottom a^2 from the top a^3 and are left with

a / b^3

Work number 6 like 5, no negative exponents, so there won't be any inversions. Just multiply the outside power times every exponent, then do the division by subtracting exponents of like bases.

When figuring out the problems with constants, treat them like the variables. In number 7 the 5a^2 when raised to the 2nd power would be 5^2*(a^2)^2 = 25 a^4

Im sorry, out of time.

Answer:

3x+1

Step-by-step explanation:

Answer:

Answer below

Step-by-step explanation:

I really hope it works

Answer:

Growing at a rate of 3% per year : 200,000 x 3% =  6,000 population/ year

The population of this city in 21 years : 200,000 + ( 6,000 x 21 ) = 326,000 p

Step-by-step explanation:

The population of the city after 21 years is given by the exponential equation A = 372,059

The exponential growth rate is the value which increases exponentially over a period of time and

x ( t ) = x₀ ( 1 + r )ⁿ

x ( t ) is the growth at time t

x₀ is the initial value growth at time t = 0.

r is the growth rate expressed as percentage when r > 0

And , the decay rate when r < 0 , in percentage

t is the time in discrete intervals and selected time units

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

Let the initial population of the city be x₀ = 200,000

Now , let the number of years be n = 21 years

Let the percentage of increase be r = 3 %

And , exponential growth formula is given by

x ( t ) = x₀ × ( 1 + r )ⁿ

x ( 21 ) = 200,000 ( 1 + 0.03 )²¹

On simplifying the equation , we get

x ( 21 ) = 200,00 ( 1.03 )²¹

x ( 21 ) = 200,000 ( 1.86029457 )

On further simplification , we get

x ( 21 ) = 3,72,058.914

On rounding the population , we get

x ( 21 ) = 372,059

Therefore , the value of A is 372,059

Hence , the exponential growth of the population after 21 years is 372,059

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Answer:

324cm³

Step-by-step explanation:

Volume of a triangular prism = (height x width x base length) / 2

We are given:

If we plug this into the formula we get (9 x 6 x 12) / 2

==> multiply numbers in parenthesis

volume = 648/2

==> simplify division

volume = 324cm³

Answer:

x = -28/39, y = 7/39

Step-by-step explanation:

Graph both and find the corresponding points.

Answer:

15. 1.125 hours = 1 hour 7 minutes 30 seconds

17. 3840 cal

18. 60 g

Step-by-step explanation:

15.

8 miles is to 3 hours as 3 miles is to x hours

8/3 = 3/x

8x = 3 * 3

8x = 9

x = 1.125

Answer: 1.125 hours = 1 hour 7 minutes 30 seconds

17.

1/2 avocado is to 160 cal as 12 avocados are to x cal

(1/2)/160 = 12/x

(1/2)x = 12 * 160

x = 24 * 160

x = 3840

Answer: 3840 cal

18.

We need the same units. We convert 2 1/2 cups into tablespoons.

1 cup = 16 tablespoons

2 1/2 cups = 2 1/2 * 16 tablespoons = 2.5 * 16 tablespoons = 40 tablespoons

Now we start the proportion.

1.5 g to 1 Tbsp is as x is to 40 Tbsp

1.5/1 = x/40

x/40 = 1.5

x = 1.5 * 40

x = 60

Answer: 60 g

Answer: 0.24

Step-by-step explanation:

Answer:

0.24

Step-by-step explanation:

i took the test i got it right!

Answer:

$666

Step-by-step explanation:

6*111

= 666

Answer:

6

Step-by-step explanation:

YES

Answer:

60 f+80=287

Step-by-step explanation:

Answer:

error occurred in Step 1 because 2/3 and 1/4 should have been multiplied instead of added; so answer would be x^1/6

Step-by-step explanation:

Answer:

Step-by-step explanation:

First you have to calculate CB in order to use sin law to calculate ∠A

CB=[tex]\sqrt{18.4^{2} -13.2^{2} }[/tex]

CB=12.8(correct to nearest tenth)

After that, use sin law to calculate ∠A,

[tex]\frac{18.4}{sin90} =\frac{12.8}{sinA}[/tex]       or    [tex]\frac{sin90}{18.4} =\frac{sinA}{12.8}[/tex]

sinA=0.695...

A=44.079...

  =44.1(corrext to the nearest tenth)

Is that clear enough for you?

Answer:

the ans. is 52.5 percent

Given;

The graph of a line.

To find:

The slope of the line.

Solution:

From the given graph it is clear that the line passes through the points (1,7) and (3,5).

So, the slope of the given line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{5-7}{3-1}[/tex]

[tex]m=\dfrac{-2}{2}[/tex]

[tex]m=-1[/tex]

Slope of the line is -1.

Therefore, the correct option is D.

Answer:

7

Step-by-step explanation:

The term difference means to subtract. Therefore, 13in - 6in, is equal to 7 inches.

13-6=7

Hope this Helps!!!

Answer:

1/10

Step-by-step explanation:

;)

Answer:

The population density for city b would be 48,592 ÷ 26  

The population density for city b is more than the city c

And, the city d contains the lowest population density

Step-by-step explanation:

The computation is given below:

As we know that

Population density = Population ÷ Area

So

For city A = 2,195,914 ÷ 1,553 = 1413.98

For city B = 48,592 ÷ 26 = 1868.15

For city C = 1,257,676 ÷ 999 = 1258.93.

For city D = 196,429 ÷ 258 = 761.35.

The following are the true statements:

The population density for city b would be 48,592 ÷ 26  

The population density for city b is more than the city c

And, the city d contains the lowest population density

Answer:

A, D, E

Step-by-step explanation:

Just did it on edge!

Answer:Add x to both sides of the equation.y=3+2x

Step-by-step explanation:

could y be 9 im lost

Answer:

The radius of the ball is 3.48 cm

Step-by-step explanation:

Density

The density of a substance is the mass per unit volume. The density varies with temperature and pressure.

The formula to calculate the density of a substance of mass (m) and volume (V) is:

[tex]\displaystyle \rho=\frac{m}{V}[/tex]

The density of lead is \rho=11.35\ g/cm^3 and the mass of a ball of lead is m=2 kg=2,000 g. We can calculate the volume by solving for V:

[tex]\displaystyle V=\frac{m}{\rho}[/tex]

[tex]\displaystyle V=\frac{2000\ g}{11.35\ g/cm^3}[/tex]

[tex]V=176.2115\ cm^3[/tex]

Since the shape of the object is a sphere, and the volume of a sphere of radius r is:

[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3[/tex]

We can solve for r and obtain:

[tex]\displaystyle r=\sqrt[3]{\frac{3V}{4\pi}}[/tex]

Substituting:

[tex]\displaystyle r=\sqrt[3]{\frac{3*176.2115}{4\pi}}[/tex]

[tex]\displaystyle r=\sqrt[3]{42.0674}[/tex]

[tex]\boxed{r=3.48\ cm}[/tex]

The radius of the ball is 3.48 cm

Answer:

Geometric

Step-by-step explanation:

A geometric setting does not have a set number of trials, and the variable in question is the number of trials it takes to get the first success.

The upgrades are independent, and the probability of the customer upgrading is the same each time.

The type of variable NNN is Geometric

Suppose a number is 'a'

Suppose another number is 'b'

We want to know how much percent of 'b' is 'a'.

We are given that Alma wrote a phone app. She has noticed that 3%, percent of the users who download her app upgrade it the same day.

Let N be the number of customers who download Alma's app until one upgrades it on the same day.

A geometric does not have a set number of trials, and the variable in question is the number of trials it takes to get the first success.

The upgrades are independent, and the probability of the customer upgrading is the same every time.

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