criangle has sides 45, 4x and 2x – 4. What is the possible range of x?

9514 1404 393

Answer:

  [tex]\dfrac{12}{7}[/tex]

Step-by-step explanation:

The first pipe fills 1/4 of the tank in 1 hour. The second pipe fills 1/3 of the tank in 1 hour. So, in 1 hour, the amount of the tank that is filled is ...

  [tex]\dfrac{1}{4}+\dfrac{1}{3}=\dfrac{3}{12}+\dfrac{4}{12}=\dfrac{7}{12}\quad\text{of the tank in 1 hour}[/tex]

This number is the fill rate in tanks per hour. We want the reciprocal of that, the fill time in hours per tank. The reciprocal of 7/12 is 12/7.

It will take 12/7 hours to fill the tank.

_____

Comment on the answer

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Answer: $2.11

Step-by-step explanation:

A customer brings a bag of chips with a regular price of $2.19 to the register which is marked down 10% the price to pay will be:

= $2.19 - (10% × $2.19)

= $2.19 - $0.219

= $1.971

After a 7% sales tax on the final price, the amount paid by the customer will be:

= $1.971 + (7% × $1.971)

= $1.971 + $0.13797

= $2.11

Answer:

Step-by-step explanation:

x^2-(2+2)x+4=0

or, x^2-2x-2x+4=0

or, x(x-2)-2(x-2)=0

or, (x-2)(x-2)=0

Now,

Either, x-2=0

=2

Or, x-2=0

=2

Answer:

73°

Step-by-step explanation:

Angles on a straight line add up to 180°

angle ABC= 180-146= 34°

Angles in a traingle add up to 180°

180-34= 146°

y= 146÷2= 73°

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Answer:

Option D (73°)

Step-by-step explanation:

According to Exterior Angle Property , the measure of exterior angle is the sum of the opposite interior angles.

So, according to the question -

[tex]y + y = 146[/tex]

[tex] = > 2y = 146[/tex]

[tex] = > y = \frac{146}{2} = 73[/tex]

Answer:

-5/2, -2, 1.7

Step-by-step explanation:

There are 9 other CD's of a different genre.

Answer:

[tex]y=2.5*10^9(0.005^{12 0}) \\\\[/tex]

Step-by-step explanation:

The above question is in the form of an exponential decay. The equation for an exponential decay is given by:

[tex]y=ab^x[/tex]

where y and x are variables, b < 1, a is the initial value of y (that is the value of y when x = 0).

Let y represent the number of trees left and x represent the number of months. Given that there is currently 2.5 billion trees, therefore a = 2.5 * 10⁹, b = 0.5% = 0.005. The equations becomes:

[tex]y=2.5*10^9(0.005^x)\\\\After\ ten\ years(x=10*12\ months=120\ months):\\\\y=2.5*10^9(0.005^{12 0}) \\\\[/tex]

The value of z = 0.2

"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

"The sum of the probabilities of all outcomes must equal 1."

For given situation,

An ice cream machine offers three flavors: vanilla, chocolate, and strawberry. Each flavor can be served as a milkshake, in a cone, or in a cup.

The probability of customers choosing Vanilla flavor = 0.45

The probability of customers choosing Chocolate flavor = 0.35

We need to find the probability of customers choosing Strawberry flavor i.e., to find the value of z.

The sum of the probabilities of all outcomes must equal 1.

From given tree diagram,

⇒ 0.45 + 0.35 + z = 1

⇒ 0.8 + z = 1

⇒ z = 1 - 0.8

⇒ z = 0.2

Therefore, the correct answer is option (A)

Learn more about probability here:
brainly.com/question/12478394

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Answer:

13.50200 or 13

Step-by-step explanation:

you use c = 3.14 (which is pie) x d to get the full sphere, hopefully this is correct

Answer:

15 feet

Step-by-step explanation:

Michele wanted to measure the height of her school's flagpole to place on the ground 35 ft from the flagpole then walks backwards until she was able to see the top of the pole in the mirror her eyes were 5 feet above the ground and she was 12 ft away from the mirror using similar triangles, find the height of the flagpole to the nearest of a foot

Using similar triangles

= Let the height of the flagpole be represented as h.

h/35 =5/12

We cross Multiply

35 x 5 = 12h

12h = 175

h = 175/12

h = 14.583333333 feet

Approximately to the nearest foot is

h = 15 feet

Answer:

the answer is 1 and 1 fourth

Answer:

the answer would be 5 hours

Step-by-step explanation:

we know he has 3000 miles to travel so if he travels 600 mph than you would have to divide.

3000/600 = 5

another way you could solve it is to take two zeros from each point so that you have 30 and 6, then you divide then.

30/6 = 5

and ta da the question is sloved!!!

Answer:

x-y+16

Step-by-step explanation:

add the like terms, 6 and 10 which is 16. since the variables are not like terms, thats your final answer. hope it helped :)

Answer:

Where is the graph?

Step-by-step explanation: How does anyone answer without a graph lol

Answer:

Area of the Rectangle is (length×breadth)

[tex]5 {x}^{5} {y}^{3} \times {(7 {x}^{3}y) }^{4} = 5 {x}^{5} {y}^{3} \times 2401 {x}^{12} {y}^{4} \\ = 12005 {x}^{17} {y}^{7} [/tex]

Third option is the right answer.

Answer:

9% is less than 0.4. 0.4 is really 4/10 which is 40% 40 is greater than 9 therefore 9% is less than 0.4! So your answer is 9%<0.4! I hope this helped!

Step-by-step explanation:

Answer:

a. Interest = $300

b. Payment to principal = $86.40

c. New balance = $‭59,913.6‬0

Step-by-step explanation:

The monthly payment has both an interest component and a principal repayment component.

The interest component is based on the total principal still due at the time and the principal repayment component will be the rest of the payment.

As the interest is listed in annual terms, it needs to be made a monthly rate:

= 6%/12 months

= 0.5%

Interest = 60,000 * 0.5%

= $300

Payment to principal = 386.40 - 300

= $86.40

New balance = Amount due - payment to principal

= 60,000 - 86.40

= $‭59,913.6‬0

Answer:

55 seconds

Step-by-step explanation:

Okay so, 1/12 of a minute would be 5 seconds. 10/12 would be 50 seconds. You go up 5 continuously.

Answer:

4x + 11

Step-by-step explanation:

Here all sides of the triangle have the same length.  Thus, if the Perimeter is 12x + 33, and there are three sides, then the length of one side is

12x + 33

------------- = 4x + 11

      3

Answer:

point form: (-2,7)

equation form: X = -2, Y = 7

Answer:

[tex]x=80^{\circ}[/tex]

Step-by-step explanation:

Solution 1:

Recall that in an isosceles triangle, the two angles adjacent to the congruent sides are equal. Since the sum of interior angles in a triangle add up to [tex]180^{\circ}[/tex], we set up the following equation:

[tex]x+50+50=180[/tex].

Solving, we get:

[tex]x+100=80,\\x=\fbox{$80^{\circ}$}[/tex].

Solution 2:

The Law of Sines states:

[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex], for any triangle.

We can use this to set up a proportion with the information given:

[tex]\frac{\sin x}{18}=\frac{\sin 50^{\circ}}{14}[/tex].

Solving, we get:

[tex]x=\arcsin(\frac{18\cdot \sin 50^{\circ}}{14}),\\x \approx \fbox{$80^{\circ}$}[/tex].

Using the distance formula and the area of a rectangle, the area of the rectangle in square units is: B. 10√5

Area of rectangle = length × width.

Distance Formula is given as: [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex].

Thus:

Length of rectangle = distance between (0, 0) and (5, 5)

[tex]d = \sqrt{(5 - 0)^2 + (5 - 0)^2}\\\\d = \sqrt{50}[/tex]

Width of rectangle = distance between (5, 5) and (6, 2)

[tex]d = \sqrt{(2 - 5)^2 + (6 - 5)^2}\\\\d = \sqrt{10}[/tex]

Area of rectangle = √50 × √10

= √500

Area = 10√5

Therefore, using the distance formula and the area of a rectangle, the area of the rectangle in square units is: B. 10√5

Learn more about area of rectangle on:

https://brainly.com/question/25292087

Answer:

the best possiable prediction is 2/6

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

150x0.72=108

Step-by-step explanation:

72% of 150

=> (72/100)×150

=> 10800/100 [ Because, 72×150=10800 ]

=> 108

Thus, 72% of 150 is 108.

Hope this helps you.

Answer:

s=6.2

Step-by-step explanation:

-3.1s=-19.22

divide -19.22 by -3.1 to get s

s=6.2