25/8 in decimal form

9514 1404 393

Answer:

  11/20

Step-by-step explanation:

It is appropriate to "invert and multiply".

  [tex]\dfrac{5}{20}\div\dfrac{5}{11}=\dfrac{5}{20}\times\dfrac{11}{5}=\dfrac{5\times11}{5\times20}=\boxed{\dfrac{11}{20}}[/tex]

Answer:

x = 40

Step-by-step explanation:

Sum of interior angle of an n-polygon = (n - 2)*180

The polygon given is pentagon with 5 sides.

Sum of the polygon = (5 - 2)*180 = 540°

Therefore, sum of all its interior angles would be:

5x + 150 + (3x - 30) + 70 + (2x - 50) = 540°

Solve for x

5x + 150 + 3x - 30 + 70 + 2x - 50 = 540

Collect like terms

5x + 3x + 2x + 150 - 30 + 70 - 59 = 540

10x + 140 = 540

10x = 540 - 140 (Subtraction property of equality)

10x = 400

x = 400/10 (division property of equality)

x = 40

Answer:

R = 41.42% (Approx)

Step-by-step explanation:

Given:

Current bacteria P = 900

Future bacteria A = 3,600

Amount of period = 4 hour

Find:

Growth rate r

Computation:

A = p[1+r]ⁿ

3,600 = 900[1+r]⁴

4 = [1+r]⁴

1.4142 = 1+r

r = 0.4142

R = 41.42% (Approx)

Answer:

20

Step-by-step explanation:

Divide 6 2/3 by 1/3

Answer:

I think the answer would be 20

Answer:

what

Step-by-step explanation:

Answer:

1. Yes

2. No

3.No

Step-by-step explanation:

Answer: 16 • (x - 2) • (x + 2) • (x - 5)

Step-by-step explanation: 1

(((2•(x-2)•(x+2))•4)•(x-5))•2

STEP

2

:

Equation at the end of step 2

((2•(x-2)•(x+2)•4)•(x-5))•2

STEP

3

:

Equation at the end of step 3

(8 • (x - 2) • (x + 2) • (x - 5)) • 2

STEP

4

:

Equation at the end of step 4

8 • (x - 2) • (x + 2) • (x - 5) • 2

STEP

5

:

Final result :

16 • (x - 2) • (x + 2) • (x - 5)

Answer:

irrational

Step-by-step explanation:

Answer:

Step-by-step explanation:

The diagram showing the pictorial view is attached below.

From the image, the distance of the hiker traveled which is denoted by "h" can be determined as follows:

h = 2.8 mi/hr × 4 hr

h = 11.2 mi

Using the trigonometric function;

The distance of how  far North is the hike from the ranger station can be determined by using the function of Sin θ

[tex]Sin \theta = \dfrac{opposite}{hypotenuse}[/tex]

[tex]Sin(41^0) = \dfrac{x}{11.2}[/tex]

x = Sin 41 (11.2)

x = 0.6561(11.2)

x = 7.34832

x ≅ 7.35 miles

The distance of how far west the hike from the ranger station is calculated by using:

[tex]cos \theta = \dfrac{adjacent}{hypotenuse}[/tex]

[tex]cos (41^0)= \dfrac{y}{11.2}[/tex]

y = 0.7547 × (11.2)

y = 8.45 miles

Answer:

J(7,4)

W(7,2)

U(3,1)

L(3,5)

Answer:

the weight that attached to the spring is 9.5 inches

Step-by-step explanation:

The computation is shown below:

inches per pound is

= 11 inches ÷ 75 pounds

Now for 65 pounds, it would be

=  11 inches ÷ 75 pounds × 65 pounds

= 9.5 inches

Hence, the weight that attached to the spring is 9.5 inches

The same is relevant and considered

Answer:

3.58333 feet

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

because a quarter is 25 cent and dana had 92 so all u have to do is take away 25 and you will get 67

Answer:

The answer is point C

Step-by-step explanation:

to make it easier to solve, think of it this way, point c and a are on the same "line",and point A is on the line under pi over 6. We know that pi over 12 is less than pi over 6, so that could potentially be the line that both points are on if that makes sense. We can also see that the real axis has the value of pi, and that point C is the value less than that. Also, point C is in the direction of where the negative "x values" would be

Answer:

B. is the right answer

Step-by-step explanation:

[tex]x = - 6 \\ y = \frac{\pi}{12} \\ ( - 6,\frac{\pi}{12} )[/tex]

The six trigonometric ratios are [tex]\sin{\theta}\\[/tex], [tex]\cos{\theta}[/tex], [tex]\tan{\theta}\\[/tex], [tex]\csc{\theta}\\[/tex], [tex]\sec{\theta}\\[/tex], [tex]\cot{\theta}\\[/tex]

[tex]\sin{\frac{2\pi}{3}} = \sin{\frac{\pi}{3}} = \frac{\sqrt{3}}{2}\\\cos{\frac{2\pi}{3}} = \cos{\frac{\pi}{3}} = \frac{1}{2}\\\tan{\frac{2\pi}{3}} = \tan{\frac{\pi}{3}} = \frac{\sin{\frac{\pi}{3}}}{\cos{\frac{\pi}{3}}} = \frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}} = \frac{2\sqrt{3}}{2} = \sqrt{3}\\\csc{\frac{2\pi}{3}} = \csc{\frac{\pi}{3}} = \frac{1}{\sin{\frac{\pi}{3}}} = \frac{1}{\frac{\sqrt{3}}{2}} = \frac{2}{\sqrt{3}}} = \frac{2\sqrt{3}}{3}\\[/tex]

[tex]\sec{\frac{2\pi}{3}} = \sec{\frac{\pi}{3}} = \frac{1}{\cos{\frac{\pi}{3}}} = \frac{1}{\frac{1}{2}} = \frac{2}{1} = 2\\\cot{\frac{2\pi}{3}} = \cot{\frac{\pi}{3}} = \frac{1}{\tan{\frac{\pi}{3}}} = \frac{1}{\sqrt{3}} = \frac{\sqrt{3}}{3}[/tex]

Answer:

$90.96

Step-by-step explanation:

Answer:

The width of new phone = 5.5 inches

Step-by-step explanation:

Given that:

Length of cell phone = 1.4 inches

Width of cell phone = 4.4 inches

Ratio of length to width = 1.4 : 4.4

Length of new version = 1.75 inches

Width of new version = x

Ratio of length to width = 1.75 : x

As the relation is proportional;

[tex]1.4:4.4 ::1.75:x[/tex]

Product of mean = Product of extreme

4.4 * 1.75 = 1.4x

7.7 = 1.4x

1.4x = 7.7

Dividing both sides by 1.4

[tex]\frac{1.4x}{1.4}=\frac{7.7}{1.4}\\x=5.5\\[/tex]

Hence,

The width of new phone = 5.5 inches

Answer:

Interest earned= $200

Step-by-step explanation:

Giving the following information:

Initial investment= $20,000

Interest rate= 3%

Inflation rate= 2%

First, we need to calculate the real interest rate. The inflation rate decreases the value of money through time. We need to deduct from the interest rate, the inflation rate.

Real interest rate= 0.03 - 0.02= 0.01

Now, we can calculate the interest earned in year 1:

Interest earned= PV*(1+i)^n - PV

Interest earned= 20,000*(1.01^1) - 20,000

Interest earned= $200

Answer:

200

Step-by-step explanation:

Answer:

The length of AB is 48 centimeters.

Step-by-step explanation:

According to the given information, AC is the hypotenuse of the right triangle, since it is opposed to a right angle (angle B). BC is the leg adjacent to angle B, whereas AB is the leg opposed to angle C. Then, we can find the length of AB by the following trigonometric identity:

[tex]\sin C = \frac{AB}{AC}[/tex] (1)

If we know that [tex]AC = 96\,cm[/tex] and [tex]C = 30^{\circ}[/tex], then the length of [tex]AB[/tex] is:

[tex]AB = AC\cdot \sin C[/tex]

[tex]AB = (96\,cm) \cdot \sin 30^{\circ}[/tex]

[tex]AB = 48\,cm[/tex]

The length of AB is 48 centimeters.

Answer: 10 eggs

Step-by-step explanation:

you need to divide 40 by 16 then you multiply that by 4 and you get 10.

Answer:

Carl

Step-by-step explanation:

There are 52 weeks in a year, and Carl reads 3 books a week, so he reads 3*52= 156 books a year. There are 12 months in a year, and Rose reads 6 books a month, so Rose reads 6*12=72 books a year. Carl reads the most books

Answer:

Booster club purchased 5 pies.

Step-by-step explanation:

Let the number of pies purchased by booster club be represented by n. The school also donated 3 pies to sell.

So that,

Total number of pies = n + 3

Given that there was 64 pieces of pies to sell after cutting each pie into 8 pieces.

Thus,

8( n + 3) = 64

8n + 24 = 64

8n = 64 - 24

8n = 40

Divide both sides by 8 to have,

n = 5

The number of pies purchased by booster club is 5.

Answer:

Constraints;

T + F ≤ 2000

4t ≥ F

T ≥ 0

F ≥ 0

Step-by-step explanation:

T- Technology stock

F - food stocks

T + F ≤ 2000

4t ≥ F

T ≥ 0

F ≥ 0

Now one has to use linear programming to solve this problem.

Answer:

c.60

Step-by-step explanation:

12 x 5 = 60

Answer:

now you can give them brainlest

Example Answer:

You could represent a round trip to Los Angeles with the variable: x

You could represent the number of miles in a round trip to Los Angeles with the variable: a

You could represent a round trip to San Diego with the variable: y

You could represent the number of miles in a round trip to San Diego with the variable: b

your equation would be: xa + yb

Factoring in what we know, the example equation would be:

5a + yb