The number line represents −4 1/2+3 1/4. What is the sum?

9514 1404 393

Answer:

  (x, y, z) = (-1, 3, 6)

Step-by-step explanation:

The augmented matrix for the system is ...

  [tex]\left[\begin{array}{ccc|c}4&-4&4&8\\9&3&1&6\\16&4&1&2\end{array}\right][/tex]

Your graphing or scientific calculator can tell you the solution to this system is ...

  (x, y, z) = (-1, 3, 6)

__

If you want to solve this by hand, it can work well to divide the first equation by 4 to get ...

  x -y +z = 2

This can be subtracted from the other two equations to eliminate z.

  (9x +3y +z) -(x -y +z) = (6) -(2)  ⇒  8x +4y = 4

  (16x +4y +z) -(x -y +z) = (2) -(2)  ⇒  15x +5y = 0

These two equations can be reduced to standard form:

Subtracting the first equation from the second, we have ...

  (3x +y) -(2x +y) = (0) -(1)  ⇒  x = -1

Substituting into the first gives y:

  2(-1) +y = 1

  y = 3 . . . . . . . add 2

Then we can find z from the reduced first equation above:

  z = 2 -x +y = 2 -(-1) +3 = 6

Then the solution is (x, y, z) = (-1, 3, 6).

Answer:

Ramona can buy 2 bags.

Step-by-step explanation:

7.5 x 3 = 22.5. This is over her budget.

Therefore Ramona can buy 2 bags.

You didn't specify what the question was asking for, I'm guessing that this is it.

Answer:

x = 70

:-))

..... . .. . . . . ... ..

Answer:

yes 1/20 is correct

Step-by-step explanation:

The probability that the winning ticket will have the letter e on it would be P=5%.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

For the probability of two independent events:

P(A and B) = P(A) P(B)

so we have to find the probability for each event to happen.

For a charity event, raffle tickets are printed such that they have a vowel (excluding ») as the first character and a prime number less than 10 as the second digit.

(Note that 1 is not a prime number.)

There are 5 vowels in the alphabet (a, e, i, o, and u).

Therefore the probability for the first letter to be e

P(A) = 1/5

We also know there are 4 prime numbers between 0 and 10 (2, 3, 5, 7)

so the probability for the number to be a 5 is:

P(B) = 1/4

Now, the probability of getting a ticket that starts with an e and ends with a 5

P(A and B) = P(A) P(B)

= 1/4 x 1/5

= 1/20

Therefore, the probability is 5%.

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Answer:

2,500 grams

Step-by-step explanation:

2.5 kilograms = 2,500

Therefore, the laptop is 2,500 kilograms.

hope i helped

Answer:

a = - 10

Step-by-step explanation:

3a – 8 = 5a + 12

3a – 8 + 8 = 5a + 12 + 8

3a = 5a + 20

3a - 5a = 5a + 20 - 5a

- 2a = 20

[tex]\dfrac{-2a}{-2}=\dfrac{20}{-2}[/tex]

a = - 10

Answer:

22.67 cm^2

Step-by-step explanation:

The computation of the area of the rectangle is shown below:

As we know that

Area of the rectangle = Length × breadth

Here we assume the length be 7.08 cm

Or breadth be 3.2 cm

Or if we assume them inverse like length be 7.08 cm and breadth be 3.2 cm

SO the area of the rectangle is

= 7.08 cm × 3.2 cm

= 22.67 cm^2

In the both cases the answer would be the same

Answer:

.13

Step-by-step explanation:

172-162 = 10  

We can find the standard deviation of D by adding the variances of the heights and taking the square root:

σ  

D

2

​  

σ  

D

2

​  

σ  

D

​  

​  

=σ  

M

2

​  

+σ  

W

2

​  

=7.2  

2

+5.4  

2

square root of 81

=9

​  

Representing probability with area

When D= M-W =0, their heights are equal. When the man is taller, D is positive, and when the woman is taller, D is negative. Since we know the distribution of the difference D is normally distributed, the probability that the woman is taller than the man can be found by calculating the shaded area below D=0, in the corresponding normal distribution:

A standard normal curve is plotted on a horizontal axis representing D, that goes from negative 17 to 37. The mean, or mu sub D, = 10. The standard deviations, or sigma sub D = 9. The value 0 is marked. The area under the curve to the left of 0 is shaded, representing the probability that the woman is taller. The area to the right represents the probability that the man is taller.

normalcdf:

lower bound: −9999

upper bound: 0

μ=10

σ=9

​  

Using subtraction of normal variables, it is found that there is a 0.1335 = 13.35% probability that the woman is taller than the man.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The probability of the women being taller is P(X > 0), which is 1 subtracted by the p-value of Z when X = 0.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0 - (-10)}{9}[/tex]

[tex]Z = 1.11[/tex]

[tex]Z = 1.11[/tex] has a p-value of 0.8665.

1 - 0.8665 = 0.1335

0.1335 = 13.35% probability that the woman is taller than the man.

A similar problem is given at https://brainly.com/question/22934264

Answer:

26

Step-by-step explanation:

7x - 28 = 5x + 12 and 5x + 12 + y = 180

The angle (7y - 28) and angle y are supplementary angles which means their sum is 180°

7y - 28 + y = 180 add like terms

8y - 28 = 180 add 28 to both sides

8y = 208 divide both sides by 8

y = 26

Answer:

1/2 or one half

Step-by-step explanation:

Answer:

The slope is 1/2.

Step-by-step explanation:

To find the slope of a line, divide yB - yA by xB - xA.

(yB - yA)/(xB - xA)

(2 - 5)/ (-2 - 4)

-3/-6

Dividing two negatives make a positive.

0.5

The slope is 0.5, or 1/2.

Answer:

-10 gal/h

Step-by-step explanation:

   Rate of change for the number of gallons of fuel remaining and the number of hours the truck has driven is (-10) gallons per hour.

 Option (2) will be be the answer.

  Average rate of change of a function is given by the expression,

Average rate of change = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table given,

Two points are (0, 200) and (2.5, 175),

Average rate of change = [tex]\frac{175-200}{2.5-0}[/tex]

                                        = [tex]-\frac{25}{2.5}[/tex]

                                        = -10 gallons per hour

  Therefore, average rate of change for the given table will be Option 2. (-10) gallons per hour.                  

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Answer:

 [tex]\frac{df}{dr} = (-r) + log(\frac{1}{r} )( 2 r)[/tex]

Step-by-step explanation:

Explanation

Given function f(r) = r² log r  ....(i)

Apply derivatives formula

              [tex]\frac{d}{dx} UV = U^{l} V + V^{l} U[/tex]

             [tex]\frac{d}{dx}x^{n} = nx^{n-1}[/tex]

            [tex]\frac{d}{dx}log x = \frac{1}{x}[/tex]

Differentiating equation (i) with respective to 'r' , we get

                [tex]\frac{df}{dr} = r^{2} (\frac{1}{\frac{1}{r} } )\frac{d}{dr} (\frac{1}{r } )+ log(\frac{1}{r} ) 2 r[/tex]

                [tex]\frac{df}{dr} = r^{2} (\frac{1}{\frac{1}{r} } )(\frac{-1}{r^{2} } )+ log(\frac{1}{r} ) 2 r[/tex]

Final answer:-                

               [tex]\frac{df}{dr} = (-r) + log(\frac{1}{r} )( 2 r)[/tex]

Answer:

you have too see what makes 36, 42 ,48 and 27

Step-by-step explanation:

Answer:

79

Step-by-step explanation:

it is 556

Answer:

8

Step-by-step explanation:

value

Answer:

The Fourth One.

The one with 3 lines, 1 intersecting the origin, one in quadrant 1, one in quadrant 3

hope it helps!

The scale factor of PQRS to JKLM is 4/5 and the values of w, x and y are 20, 12.5 and 20 respectively.

A scale drawing is a drawing made by enlarging or reducing the size of the original object.

The factor by which the drawing is enlarged or reduced is called the scale factor.

Given two quadrilaterals PQRS and JKLM.

Since the shape is similar, the angles are equal and thus are similar figures.

The corresponding sides of two similar figures are proportional.

Scale factor of PQRS to JKLM = QR / KL = 12 / 15 = 4/5

Using the proportional rule for similar figures,

KL / QR = LM /RS  = MJ / SP = JK / PQ

15 / 12 = x / 10 = y / 16 = 25 / w

Scale factor = 15/12 = 5/4

Consider 15 / 12 = x / 10.

12x = 150

x = 12.5

Consider 15 / 12 = y / 16

12y = 15 × 16

y = 20

Consider 15 / 12 = 25 / w

15w = 12 × 25

w = 20

Hence the option d is the correct answer.

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Answer:

18.00$

Step-by-step explanation:

Answer:

$18.00

Step-by-step explanation:

Thus, a product that normally costs $20 with a 10 percent discount will cost you $18.00, and you saved $2.00.  You can also calculate how much you save by simply moving the period in 10.00 percent two spaces to the left, and then multiply the result by $20 as follows: $20 x .10 = $2.00 savings.  Furthermore, you can get the final price by simply deducting .10 from 1 and multiplying it by $20 as follows: (1 - .10) x $20 = $18.00 final price.

Answer:

Yes

Step-by-step explanation:

10% chance does not mean it is always 10 percent. 10 percent is the theoretical property. The experimental probability can be different than the theoretical property.

Step-by-step explanation:

Length of SU to ST = 4 : 1.

=> (3m + 6) : m = 4 : 1

=> 3m + 6 = 4m

=> m = 6.

Answer:

proportional

Step-by-step explanation:

Answer:

A. [tex]x = 4\cdot (y-1)^{2}-2[/tex]

Step-by-step explanation:

From the image attached below statement we understand that a parabola with a horizontal axis of symmetry and whose vertex is centered at [tex]V(x,y) = (h,k)[/tex] is defined by the following expression:

[tex]x-h = C\cdot (y-k)^{2}[/tex] (1)

Where [tex]C[/tex] is the parabola factor, when [tex]C > 0[/tex], the parabola is oriented in the +x direction, otherwise is oriented in the -x direction. Hence, we may conclude that equation of the parabola is of the form:

[tex]x+2 = C\cdot (y-1)^{2}[/tex]

[tex]x = C\cdot (y-1)^{2}-2[/tex], where [tex]C > 0[/tex]

The correct answer is A.

Answer:

A

Step-by-step explanation:

Hopefully this helps

The answer is 46 percent

Answer:

-14+21x

Step-by-step explanation:

Distrubute

-7 times 2= -14

-7 times 3x= -21x

Answer:

The answer is -14 + 21x

Step-by-step explanation:

Distribute -7 to 2 and -3x

-7 × 2 = -14

-7 × - 3x = 21x

= -14 + 21x

Answer:

15.20feet

Step-by-step explanation:

Length of the ladder = 16foot (hypotenuse)

BAse of the ladder from the house = 5feet (adjacent)

height of the house = x (opposite)

Using the pythagoras theorem

hyp^2 = opp^2 + adj^2

16^2 = 5^2 + opp^2

256 = 25 + opp^2

opp^2 = 256-25

opp^2 = 231

opp =√231

opp = 15.20

Hence the house is 15.20feet high up the house

Answer:

7.41

Step-by-step explanation:

Vertical component:

S = 268.8

U = 0

V =?

A = 9.8

T=?

S = ut + 0.5at^2. u = 0

268.8 = 0.5x9. 8xt^2

T = 7.41 seconds

Answer:

4.42 seconds is the correct answer

Step-by-step explanation:

STORE B BECAUSE LOW RATES IS BETTER THAN HIGH