When you solve the system shown by the elimination method, which statement is true?
y + 3x = 10
−y − 3x = 10

Answer:

i gussing add them together

Step-by-step explanation:

Data for the question :

102.05 99.85 112.3 97.15 111.23 105.37 105.64 106.5 102.97 107.82 106.36 111.24 107.28 114.14 106.28 106.96 98.25 111.55 107.75 101.02 101.12 97.7 97.66 100.54 115.77 112.91 111.04 112.15 102.87 101.14 107.13 108.56 109.56 103.57 108.68 104.59 116.74 116.22 100.22 103.97 111.2 109.34 115.78 101.59 107.93 104.23 96.25 103.84 102.47 102.96 99.26 101.42 108.58 107.69 99.88 102.71 111.25 99.4 117.04 106.35 110.44 102.34 107.25 107.63 105.2 109.14 115.54 101.51 108.49 112.32 109.27 97.54 102.46 105.94 109.42 111.05 102.63 106.99 102.03 108.84 118.8 108.64 95.35 105.47 104.45 102.15 111.4 108.27 104.82 108.4 109.05 116.11 103.7 121.2 99.62 102.81 109.56 103.35 113.02 103.79

Answer:

Range = 25.35

Variance = 29.46

Standard deviation = 5.43

The variation in price of Prozac is high

Step-by-step explanation:

The range of the data :

Maximum - Minimum.

121.2 - 95.35 = 25.35

The variance, s :

s² = Σ(X - m²) / n - 1

Mean, m = Σx / n

X = individual data point

m = mean of data

n = sample size

Using a calculator of save time and ensure accuracy :

s² = 29.45522

The standard deviation, s

s = sqrt(variance)

s = sqrt(s²)

s = sqrt(29.45522)

s = 5.42726.

The range, variance and standard deviation, all measure the degree of variation in a dataset. The values of these statistical measure obtain for the price of 1 product across different pharmaceutical stores, suggests thatvthe variation in price is high;

With a range of about 25.35 and standard deviation of 5.43

Answer: x > 2/3

Step-by-step explanation:

-1 - x/2 < x

Simplify:

-1/2x + 1 < x

Subtract x from both sides:

-1/2x + 1 - x < x - x

-3/2x + 1 < 0

Subtract 1 from both sides:

-3/2x + 1 - 1 < 0 - 1

-3/2x < -1

Multiply both sides by 2/(-3):

2/(-3) (-3/2) < 2/(-3) (-1)

x > 2/3

Answer:

A or B , whether it is dotted or straight line dunno

Answer:

2557

Step-by-step explanation:

50x50+100-43

2500+100-43

2600-43

2557

Answer:

1/2

Step-by-step explanation:

2*3=6

6/12=1/2

Answer:

[tex]\frac{1}{2}[/tex]--> 1/2

Step-by-step explanation:

3x2=6. half of 12 is 6 and so you would make it 6/12 or aka 1/2

Answer:

no solution

Step-by-step explanation:

Answer:

One solution

Step-by-step explanation:

(1288/1935, 236/387)

Answer:

(2x + 40) - 2

(x ÷ 5) - 14

(x ÷ 2) - 18

(x + 3) + 9

3x + 12

(x ÷ 2 + 3) + 12

4 * 2x or 8x

(x ÷ 3) - 5

3x + 5

6x - 13

We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal. If we subtract the same number from both sides of an equation, both sides will remain equal. or

A two-step equation is an algebraic equation that takes you two steps to solve. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.

Answer:

1) (2x + 40) - 2

2) (x ÷ 5) - 14

3) (x ÷ 2) - 18

4) (x + 3) + 9

5) 3x + 12

6) (x ÷ 2 + 3) + 12

7) 4 * 2x or 8x

8) (x ÷ 3) - 5

9) 3x + 5

10) 6x - 13

Step-by-step explanation:

Answer:

D. 5(2.2y + 3.4) = 5(y-2) + 6y

This equation has no solution

Answer: Hope this helps! xx have a good day!

Step-by-step explanation:

The equations of the corresponding circles can be any equation only have to satisfy the  general equation for  circle .

A circle is the set of all points in a plane at a given distance (called the radius ) from a given point (called the center.)

We know that the general equation for a circle is

[tex]( x - h )^2 + ( y - k )^2 = r^2[/tex],

where ( h, k ) is the center and r is the radius.

According to the question

The equation of circle given is

[tex]x^{2} + y^{2} = 1[/tex]

Center at origin

i.e

(h,k) = (0,0)

and radius = 1 unit

Now ,

By changing changing center (h,k) and radius of equation it will give following equations

h                      k                       r                            equation of circle

0                       1                       3                        [tex]( x - 0 )^2 + ( y - 1 )^2 = 3^2[/tex]

2                       2                       3                        [tex]( x - 2 )^2 + ( y - 2)^2 = 3^2[/tex]

1                        1                        1                         [tex]( x - 1 )^2 + ( y - 1 )^2 = 1^2[/tex]

-2                      -1                       2                        [tex]( x +2 )^2 + ( y + 1 )^2 = 2^2[/tex]

3                       2                       1                         [tex]( x - 3 )^2 + ( y - 2 )^2 = 1^2[/tex]

-5                      1                        3                        [tex]( x +5 )^2 + ( y - 1 )^2 = 3^2[/tex]

Hence, the equations of the corresponding circles can be any equation only have to satisfy the  general equation for  circle .

To know more about general equation for a circle here:

https://brainly.com/question/10618691

#SPJ2

Answer:

Like terms are terms whose variables are the same. In other words, terms that are "like" each other. For example, 2x and 3x are like terms. Furthermore, 3y² and 4y² are also like terms. If two factors are like terms they can be combined.

Step-by-step explanation:

Hope this helps!

Answer:

Step-by-step explanation:

Answer: 625

Step-by-step explanation:

In Vedic mathematics, the numbers containing 5 in the units place can be squared by taking the remaining digit/s and multiply by its successor and then add 25.

Square of 25 is 2*3 = 6 and attach 25, So 25^2 = 625.

Square of 35 is 3*4 = 12 and attach 25, So 35^2 = 1225.

Square of 125 is 12*13 = 156 and attach 25, So 125^2 = 15625.

Square of 95 is 9*10 = 90 and attach 25, So 95^2 = 9025.

From the time I had answered the question asking for the square of 25, the question now appears as what is the square root of 25.

I will answer the revised question as square root of 25 is +5 or -5.

Answer:

Step-by-step explanation:

2. 2c(7c + 1)

3. stays as is

4. 2x^3y^4(4 - 11x^2y^2)

5. ab(10ab + 9b - a)

6. 3m^2(7m^4n^2+2m^2n+5)

7. (a - 8)(a + 8)

8. (y - 17)(y + 17)

9. stays as is

10. (1 - 5n)(1 + 5n)

11. (4x - 7y)(4x + 7y)

12. (w^2 - 10)(w^2 + 10)

13. (c - 9d)(c + 9d)

14. (14a - b)(14a + b)

Answer:

48π

Step-by-step explanation:

Given that,

The radius of the sphere is increasing at a rate of 3cm/minute, [tex]\dfrac{dr}{dt}=3\ cm/minute[/tex]

The volume of a sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

Differentiating both sides wrt t.

[tex]\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3r^2\times \dfrac{dr}{dt}\\\\=4\pi r^2\times \dfrac{dr}{dt}[/tex]

Put r = 2 cm and dr/dt = 3 cm/minute

So,

[tex]\dfrac{dV}{dt}=4\pi r^2\times \dfrac{dr}{dt}\\\\\dfrac{dV}{dt}=4\pi \times 2^2\times 3\\\\\dfrac{dV}{dt}=48\pi[/tex]

Hence, the correct option is (a) "48π".

Answer:The solid surface area is equal to the solid volume. Find the value of x? The measurements of the rectangular prism is 11 inches long and 3 inches wide. Height is not listed.

The height of the solid is 5in and the width is 6in. X is the value of the length

4

Step-by-step explanation:

Answer:

it is option C

hope it helps

97 And 83

Answer:

The average of these numbers will rise to 16.

Step-by-step explanation:

Given that the average of 5 consecutive number is 15, to determine what would be the effect on the average if the next two numbers were also included, the following logical reasoning must be performed:

13 + 14 + 15 + 16 + 17 = 75/5 = 15

Thus, if the numbers 18 and 19 are added, and then this result is divided by 7, the following average is obtained:

(75 + 18 + 19) / 7 = X

112/7 = X

16 = X

Thus, the average of these numbers will rise to 16.

Answer:

Please refer to the attachment

Answer:

3. (x + 6)(x + 3)

4. (x-6)(x+2)

Step-by-step explanation:

3. x^2 + 9x + 18

To check if it is factorable, first check the discriminant

b^2 - 4ac

9^2 - 4(1)(18)

81 - 72

9

Since D > 0, there are real number solutions

Now let us try and factor

Find a number that adds to 9 and multiplies to 18

3 and 6 work

Rewrite the equation as

x^2 + 3x + 6x + 18

x(x + 3) + 6(x + 3)

(x + 6)(x + 3)

4. x^2 - 4x - 12

To check if it is factorable, first check the discriminant

b^2 - 4ac

(-4)^2 - 4(1)(-12)

16 + 48 = 64

Since D > 0, there are real number solutions

Now let us try and factor

Find a number that adds to -4 and multiplies to -12

-6 and 2 work

Rewrite the equation as

x^2 - 6x + 2x - 12

x(x - 6) + 2(x - 6)

(x + 2)(x - 6)

Answer:

64 degrees

Step-by-step explanation:

Since the triangles are similar they have the same angle measures

[tex]\frac{PR}{PQ} =\frac{SU}{ST}[/tex]          [tex]\frac{21}{14}= \frac{6}{4}[/tex]

∠P = ∠S ∠R =∠U ∠Q=∠T

We know 2 of the angle measures: ∠S and ∠R, and since they are similar we know ∠P and ∠U

In triangles the sum of all angle measures is always 180 degrees, so we can solve for ∠Q with this formula

[tex]A+B+C=180[/tex]

[tex]46+70+C+180[/tex]

[tex]116+C=180[/tex]

subtract 116 from both sides

[tex]C=64[/tex]

Therefore ∠Q is equal to 64 degrees

Answer:

0.6357 = 63.57% probability of reaching into the box and randomly drawing a chip number that is smaller than 507

Step-by-step explanation:

The probability of drawing each chip is the same, which means that the uniform distribution is used to solve this question.

Uniform distribution:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distribution has two bounds, a and b, and the probability of finding a value lower than x is given by:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

There are 797 identical plastic chips numbered 1 through 797 in a box.

This means that [tex]a = 1, b = 797[/tex]

What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 507?

[tex]P(X < 507) = \frac{507 - 1}{797 - 1} = 0.6357[/tex]

0.6357 = 63.57% probability of reaching into the box and randomly drawing a chip number that is smaller than 507

Let A represent amount of Type A coffee pounds used.  

Let B represent amount of Type B coffee pounds used

A + B = 156  

B = 156 - A  

A = 156 - B

5.80A + 4.65B = 826.60  

580 (156 - B) + 4.65B - 826.60 = 0  

904.8 - 5.80B + 4.65B - 826.60 = 0

904.8 - 1.15B - 826.60 = 0  

78.2 - 1.15B = 0  

78.2/1.15 = 1.15B/1.15

68 = B

B = 68 pounds of Type B coffee

There's many more steps you can take to check and etc but am too lazy to put down sorry.

Answer:

yes

Step-by-step explanation:

If you post a question I will help anyone.

Answer:

I would love to help anyone and I wouldn't judge the person's age. You can ask me any math question and I will have an answer for you

Step-by-step explanation:

16 feet is equal to 192 inches.

Hope it helps :)❤

Answer:

192 inches is equal to 16 feet.

(Hope this helps! Btw, I answered first. Brainliest please! :D)

Answer:

m<ABC = 71°

Step-by-step explanation:

Given:

m<BCA = 71°

x = 31 cm

y = 50 cm

Required:

m<ABC

Solution:

First, find AB, using Cosine Rule:

AB² = x² + y² - 2xy*Cos m<ABC

Plug in the values

AB² = 31² + 50² - 2(31)(50)*cos 71

AB² = 3,461 - 1,009.26128

AB² = 2,451.73872

AB = √2,451.73872

AB = 49.5150353 ≈ 50 cm

✔️Since AB ≈ 50 cm, and AC is also 50 cm, it means the triangle is an isosceles triangle.

Therefore, the base angles of ∆ABC, <ABC and <BCA, would be congruent.

Therefore,

m<BCA = m<ABC = 71°

m<ABC = 71°

Answer:

Sam and Tom

Step-by-step explanation:

5 × 2= 10

6 × 2= 12

5/6= 10/12

Answer:

To find the angle of this triangle you have to [tex]cos^{-1}(\frac{4.87}{5.35})[/tex]. When you do this you will get 24 as the angle

Step-by-step explanation:

Hope this Helped