One number is seven more than four times another number. If the sum of the numbers is 22, find the numbers.

Answer: the movie was 1 hour and 35 minutes and Amar got home at 6:15 P.M.

Step-by-step explanation:

to find out how long the movie was you have to find the distance between the time frames 3:55 and 5:30.

3:55+1 hour= 4:55

4:55+5 minutes= 5:00

5:00+30 minutes= 5:30

Add the times to find how long the movie was.

This is how I found how long the movie was.

To find out when Amar got home you have to do the same thing as well.

5:30+30 minutes= 6:00

6:00+15 minutes= 6:15

Hope this helps!

Answer:

18x^(2)+39x+15 over 3x+5 -----> 6x+3

35x^(2)-5x-30 over 5x-5 -------> 7x+6

15x^(2)-44x+21 over 5x-3 ------> 3x-7

Step-by-step explanation:

Plato Gang

Answer:

the correct answer is 904.78 cubic. inches

Answer:

The correct answer is D, 11 cm.

Step-by-step explanation:

Given that the third side of a triangle measures (3x-5) cm, if the length of the midline is 14 m, to determine the length of the third side and the correct option, the following calculations must be performed:

X (third side) = midline x 2

X = 14 x 2

X = 28

3X - 5 = 28

3X = 28 + 5

3X = 33

X = 33/3

X = 11

Therefore, the correct option is D: 11 cm.

Answer:

64

Step-by-step explanation:

Answer:

square, triangle, trapezoid,rectangle

The Two-dimensional figures are square, triangle, rectangle, and trapezoid.

Two-dimensional shapes do not have any thickness and can be measured on only two faces. These can be drawn on a sheet of paper with the constitution of two axises only.

The Two-dimensional figures that are cross-sections for each of the three-dimensional solids are:

Learn more about two-dimensional, here:

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Answer:

x < -1/4

Step-by-step explanation:

7x + 2 < 3x + 1

4x + 2 < 1

4x < -1

x < -1/4

9514 1404 393

Answer:

Step-by-step explanation:

These are all Law of Cosine problems. A generic expression for the length of side 'c' opposite angle C, which is defined by sides 'a' and 'b' is ...

  c² = a² +b² -2ab·cos(C)

The square root of this gives the side length:

  c = √(a² +b² -2ab·cos(C))

Rearranging the equation, we can obtain an expression for the angle C.

  C = arccos((a² +b² -c²)/(2ab))

These two formulas are used to solve the offered problems.

__

1) AC = √(13² +14² -2·13·14·cos(109°)) ≈ √483.506

  AC ≈ 22.0

__

2) BC = √(7² +10² -2·7·10·cos(123°)) ≈ √225.249

  BC ≈ 15.0

__

3) ∠B = arccos((24² +28² -14²)/(2·24·28)) = arccos(1164/1344)

  ∠B ≈ 30.0°

__

4) ∠B = arccos((6² +9² -14²)/(2·6·9)) = arccos(-79/108)

  ∠B ≈ 137.0°

Answer:

  7(1 +3x)

Step-by-step explanation:

The simplest monomial is a constant that is a prime number. That constant is a factor of the coefficient of the only other monomial in the expression, so it can factored from both terms.

  = 7 + 7·3x

  = 7(1 +3x)

Answer:

i got 20 weeks. i divided 180 by 9 and i got 20. i'm not sure if it's what you're looking for, but i hope it helps.

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

If we have to evaluate an expression, we spsolve for whatever variable there is, and simplify. Here, we know x is 17, so we can plug it into the original expression.

17 + 23 = 40

Answer:

Cos 74°= Sin 16°

Sin 20°= Cos 70°

Sin A°=Cos (90°- A°)

Step-by-step explanation:

This is because the three pairs are complementary i.e they add up to 90° and in trigonometric ratios, complementary ratios are equal.

Answer:

Your answers are correct

The probability that someone who is able to unlock the phone who is not the owner will be 5.8%. Then the correct option is D.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

Tim works for a cell phone company and is testing their new biometric security feature.

He conducted a test in which 4,000 attempts were made to unlock the phone. Of the attempts to unlock the phone, 25% were made by someone other than the phone's owner.

The results of the test are shown in the table.

                             Unlocked               Did Not Unlock               Total

Owner                     2418                            582                           3000

Not the Owner        232                             768                            1000

Total                       2650                            1350                          4000

Then the probability that someone who is able to unlock the phone using the biometric security feature is not the owner will be

P = 232 / 4000

P = 0.058

The probability in percentage will be

P = 0.058 x 100

P = 5.8%

Then the correct option is D.

More about the probability link is given below.

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Answer:

8.8%

Step-by-step explanation:

I did the test.

Answer:

7 stickers for each kid

Step-by-step explanation:

Answer:

y = 4

y = 7

x = 6

Hope that helps! :)

Step-by-step explanation:

9514 1404 393

Answer:

  b. iii, v, and vi

Step-by-step explanation:

We assume your equations are intended to be P=(something) where the something has a final factor of ( )^t.

The final factor is called the "growth factor". Subtracting 1 from it gives the "growth rate". When that value is negative, the population is declining.

Equations (iii), (v), and (vi) have growth rates that are negative, so those represent towns decreasing in size.

Answer:

Symmetric point: x = -1; (-1, 5)

Minimum of f: None; approaches -∞.

Maximum of f: y = 5.

Is f(x) a one-to-one: No, it fails the horizontal line test and is not injective.

Increasing from: -∞ to -1; (-∞, -1)

Decreasing from: -1 to ∞. (-1, ∞)

Answer:

Given f(x) = -x^2 - 2x + 4, find each of the following,

Step-by-step explanation:

f(x) = -x²-2x+4

f(2) = (-2)²-2×2+4

f(2) = 4-4+4

f(2) = 4

Answer:

1st

Step-by-step explanation:

Answer:

0.09

Step-by-step explanation:

Answer:

4^8

Step-by-step explanation:

keep base (which is 4) and add exponents when multiplying

Answer:

Long= [tex]2\sqrt{3}[/tex]

Step-by-step explanation:

This is a 30-60-90 right triangle, which has a special rule that would be very useful to memorize for the future. Take a look at the attached image.

From this, we can deduce that

hypotenuse=2*2=4, and

long= [tex]2\sqrt{3}[/tex]

Step-by-step explanation:

area of a triangle is (bh)/2

b=base

h=height

2.1=(2h)/2

2.1=height

Hope that helps :)

Answer:

4.2

Step-by-step explanation:

Multiply 2.1 and 2 to get 4.2

Answer:

55

Step-by-step explanation:

Remark

This is a really good question to know the answer to. <PRQ = 1/2 POQ (the central angle. )

The central angle for this question is 110o. So any angle that has its vertex on the circumference is 1/2 110 = 55. The central angle and the angle on the circumference must be related as they are as this question is. (Both are on the same side of PQ which is not drawn but you can draw it).

Answer:

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