Jack buys a pool with 400 gallons of water, and it take 8 hours to fill. How many gallons were poured per hour?

Answer:

y = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

-15 + 10y = 25

Step 2: Solve for y

Answer:

Step-by-step explanation:

Use trigonometry.

We have:

Solve for x:

Answer:

210 ft^2

Step-by-step explanation:

The figure is made up of a rectangle 15 ft by 12 ft and a triangle with base 15 ft and height 4 ft.

A = LW + BH/2

A = (15 ft)(12 ft) + (15 ft)(4 ft)/2

A = 180 ft^2 + 30 ft^2

A = 210 ft^2

Answer:

210ft²

Step-by-step explanation:

Step one, find the area of the square. --->

A= bh (Area equals base times the height)

15×12=180

Step two, find the area of the triangle.

A=bh÷2 (Area equals base times the height divided by 2)

4×15= 60÷2= 30

Step three, add the solutions together

180+30=210

Step-by-step explanation:

2x+30+x+72°=180

3x+30=180°-72°

3x+30=108°

siti = x

Janice = 35.50$

Janice = 10.35 + x = 35.50

x = 35.50 - 10.35

x = 25.15

Siti = 25.15$

Amiya = y

Amiya = y - 12.80 = 25.15

y = 25.15 - 12.80

y = 13.25$

Answer:

C

Step-by-step explanation:

-30(3+2w= the other way around

c the better way around!

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Answer:

[tex]sinB=\frac{15}{17} , cos B=\frac{8}{17} , tanB=\frac{15}{8} \\sinA=\frac{8}{17} , cos A=\frac{15}{17} , tanA=\frac{8}{15}[/tex]

Step-by-step explanation:

[tex]sinB=\frac{15}{17} , cos B=\frac{8}{17} , tanB=\frac{15}{8} \\sinA=\frac{8}{17} , cos A=\frac{15}{17} , tanA=\frac{8}{15}[/tex]

Answer:

n = 133.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

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

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation of the times is 14 hours.

This means that [tex]\sigma = 14[/tex]

How large a sample should be taken to get the desired interval?

Within 2 hours, which means that we want n for which M = 2. So

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

[tex]2 = 1.645\frac{14}{\sqrt{n}}[/tex]

[tex]2\sqrt{n} = 1.645*14[/tex]

Dividing both sides by 2

[tex]\sqrt{n} = 1.645*7[/tex]

[tex](\sqrt{n})^2 = (1.645*7)^2[/tex]

[tex]n = 132.6[/tex]

Rounding up, n = 133.

Answer: 3

7x + 15 = 41 or 7x - 15 = 41

Answer:

7x - 15 = 41

Step-by-step explanation:

The key word is "difference" so keep that in mind. 7 times a number and 15 is 41. The "number" is unknown so a variable can be put in place until the number is known. The whole equation equals 41. The word "and" is where the "difference" or subtraction sign should go. Now we have a translated description! I hope this helps and if I'm wrong, please let me know!

Answer:

Step-by-step explanation:

The function to find the number of phone users t years after 1996 is y= [tex]170(1.75)^t[/tex].

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, in 1996 a town had 170 cell phone users. This number increased by 75% each year.

Let the number of phone users t years after 1996 be y

The number of phone users t years after 1996 is

y= [tex]170(1+\frac{75}{100})^t[/tex]

y= [tex]170(1.75)^t[/tex]

Therefore, the function to find the number of phone users t years after 1996 is y= [tex]170(1.75)^t[/tex].

To learn more about the function visit:

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Answer:

Step-by-step explanation:

1). Vertical intercept of the graph = Point at which the graph intersects the y-axis.

Therefore, vertical intercept is y = 1000.

In this situation vertical intercept means the initial dose of the drug taken = 1000 mg.

2). From the graph attached, point (x, y) represents,

x = Time 't' or duration

y = concentration of the drug after time 't'

Point (0, 1000) represents concentration = 1000 mg of the drug after t = 0 hour

Similarly, (1, 750) represents concentration = 750 mg after t = 1 hour

Therefore, fraction of drug remained = [tex]\frac{750}{1000}[/tex]

                                                              = [tex]\frac{3}{4}[/tex]

3). Let the equation, representing the concentration of the drug and time is,

[tex]y=a(b)^t[/tex]

Here, a = Initial amount of the drug (at t = 0 hours)

            = 1000 mg

At (t = 1 hours), concentration of the drug = 750 mg

[tex]y=1000(b)^t[/tex]

[tex]750=1000(b)^1[/tex]

[tex]b=\frac{750}{1000}[/tex]

[tex]b=\frac{3}{4}[/tex]

Therefore, equation will be,

[tex]y=1000(\frac{3}{4})^t[/tex]

Answer:

Yeahhhh!! the critical value

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

0.96/8=0.12

Answer:

B. $0.12

Step-by-step explanation:

Just divide the total cost ($0.96, but for the sake of this question it's 96) by the number of pencils (8) and you get 12, which, again, for the sake of this question, is 12 cents. I hope this helps

Answer:

m∠J = 32°

m∠G = 78°

Step-by-step explanation:

ΔHJI ≈ ΔGEF respectively means;

∠H ≅ ∠G

∠I ≅ ∠E

∠J ≅ ∠F

Therefore;

Since  ∠F = 32°, then ∠J = 32°

Since ∠H = 78°, then ∠G = 78°

Hope this helps!

Answer:

No.

x-1 is not a factor of the polynomial

X-1 = 0

X = 1 ........(1)

put the value of X in given equation

2 (1)^3-3(1)^2-18(1)-8=0

2-3-18-8=0

-27 is not equal to 0.

x-1 is not factor of given equation....

Answer:

33º and 147º

Step-by-step explanation:

x + (x + 114) = 180

2x + 114 = 180

2x = 66

x = 33º

x + 114 = 147º

Answer:

2) <TWN and <SWM

Step-by-step explanation:

2) <TWN and <SWM

Answer:

(2)

Step-by-step explanation:

This is because they are both vertical to one another!

Hope this helps!

Answer:6

Step-by-step explanation:

The original number that was multiply by 5 instead of 3 is 6.

The equation that can be used to represent the informatioin in the question is:

5x - 3x = 12

Where x is the original number

In order to determine the value of x, take the following steps

Combine similar terms: 2x = 12

Divide both sides by 2

x = 6

To learn more about multiplication, please check: https://brainly.com/question/3385014

The radius of the circle is 4 inch and has an arc length of 5.8 inches . We know that if the central angle is 360° then the arc length is [tex]2\pi r [/tex] . Similarly when angle is theta ,

[tex]\implies Arc = radius \times \theta [/tex]

Now substitute respective values , from the given data ,

[tex]\implies 5.8 inch = 4inch * \theta \\\\\implies 0.14 m = 0.1 * \theta \\\\\implies \boxed{\red{\theta \approx 1.4 \ rad }}[/tex]

This is our required answer!

Answer:

The Richter scale was abandoned because it worked best for earthquakes in southern California, and only those hitting within about 370 miles (600 kilometers) of seismometers. These days, scientists detect temblors on the other side of the Earth. In addition, the scale was calculated from one type of earthquake wave, a kind that doesn't help much when measuring truly massive quakes, like Japan's magnitude-9 in 2011. So seismologists created a new scale, called the moment magnitude scale. The moment magnitude scale captures all the different seismic waves from an earthquake, giving a better idea of the shaking and possible damage.

Step-by-step explanation:

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Answer:

4cm

Step-by-step explanation:

length is how tall, so 4cm

Answer:

Below.

Step-by-step explanation:

x^2 - 6x = -5

x^2 - 6x + 9 = -5 + 9            c = 9

(x - 3)^2 = 4

x - 3 = +/- sqrt4

x - 3 = +/- 4

x - 3 = 2 gives x = 5  and

x - 3 = -4 gives x = -1.

x = 46°

Step-by-step explanation:

The missing angle on the left triangle is 180 - (85 + 53) = 42°. By the definition of vertical angles, the angle on the right triangle is also 42°. Since the total of all the interior angles of a triangle is 180°, then

92 + 42 + x = 180

or

x = 46°

Answer:

Area of parallelogram = 63 square units

Step-by-step explanation:

In the given parallelogram:

Height of parallelogram = 9 units

Base of parallelogram = 7 units

Find:

Area of parallelogram

Computation:

Using area of parallelogram;

Area of parallelogram = Height of parallelogram x Base of parallelogram

Area of parallelogram = 9 x 7

Area of parallelogram = 63 square units

Answer:

18ft^2

Step-by-step explanation:

to find area of a triangle you you multiply the base times height then divide by 2 which for this question will come out to be 2. The area of square in this question is 4 time 4 which equals to 16. 16 plus 2 is 18, so the and is 18ft^2

Answer:

B

Step-by-step explanation:

The 3 angles (6x + 2), 40, 90 lie on s straight line and sum to 180° , that is

6x + 2 + 40 + 90 = 180

6x + 132 = 180 ( subtract 132 from both sides )

6x = 48 ( divide both sides by 6 )

x = 8 → B

Answer:

Triangle RTS is similar to JLK

Step-by-step explanation:

Scale factor is 1.5