a solution of a system of linear equations

x - y = 5
- 3 x + y = - 1

Answer: The answer is  1/3 because you simplify your answer, and the answer is 1/3

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

According to the question

Sharon drinks 2/3 of 1/2 of lemonade

So let's solve

To determine the amount Sharon's drinks

2/3 of 1/2

2/3×1/2

2/6

1/3

Therefore the final answer is 1/3

Answer:

- 1, 2, 5, 8, 11

Step-by-step explanation:

Substitute n = 1, 2, 3, 4, 5 into the n th term formula

a₁ = 3(1) - 4 = 3 - 4 = - 1

a₂ = 3(2) - 4 = 6 - 4 = 2

a₃ = 3(3) - 4 = 9 - 4 = 5

a₄ = 3(4) - 4 = 12 - 4 = 8

a₅ = 3(5) - 4 = 15 - 4 = 11

The first 5 terms are - 1, 2, 5, 8, 11

Final answer:

The first 5 terms of the sequence an = 3n - 4 are -1, 2, 5, 8, and 11. Each term is found by substituting the nth term number into the expression and calculating its value.

Explanation:

The student has asked to write the first 5 terms of the sequence an = 3n - 4. To find the terms of this sequence, we simply substitute the values of n (starting from 1 and going up by 1 each time) into the expression and calculate the results.

Therefore, the first 5 terms of the sequence are -1, 2, 5, 8, 11.

Answer:

7

Step-by-step explanation:

Mode is the number that repeats the most

7 is repeating the most

The mode for the given bar image shown is: 7

In statistics, the mode is a measure of central tendency that refers to the value that appears most frequently in a dataset. It can be used to summarize categorical variables, while the mean and median can only be calculated for numeric variables. The mode is calculated by putting the numbers in order from least to greatest and counting how many times each number occurs.

From the given bar graph, we see that the number that occurs the highest number of times is 7 as it is the tallest bar.

Read more about Dataset Mode at: https://brainly.com/question/27358262

#SPJ3

The probability that both parts are defective is 6/55

Step-by-step explanation:

Defective parts = 4

Total parts = 11

Probability of getting a defective part = 4/11

Probability of getting defective part 2nd time = 3/10

Total probability of getting defective part both the times = (4/11) (3/10)

= (12/110)

= (6/55)

The probability that both parts are defective is 6/55

Answer:

125

Step-by-step explanation:

h=8

u=40

so k=5

hk-u

5*25=125

Answer: u = 25

Step-by-step explanation:

Here are the answer: a) R = 3.6 and b) A = 2

Step-by-step explanation:

Given,

R is inversely proportional to A.

R ∝ [tex]\frac{1}{A}[/tex]

so, R = [tex]\frac{k}{A}[/tex]  -------eq 1 where k is any constant

To find the values of a) R when A = 5 and

b) Value of A when R = 9

Now,

Putting R = 12 and A = 1.5 in eq 1 we get,

12 = [tex]\frac{k}{1.5}[/tex]

or, k = 12×1.5 = 18

From eq 1 we get,

R = [tex]\frac{18}{A}[/tex] --------- eq 2

Now,

a) Putting A= 5 in eq 2 we get,

R = [tex]\frac{18}{5}[/tex] = 3.6

b)  Putting R = 9 in eq 2 we get

R = [tex]\frac{18}{A}[/tex]

or, A = [tex]\frac{18}{9}[/tex] = 2

Answer:

a.3.6

b. 2

Step-by-step explanation:

R is inversely proportional to A

Which means R=k/A

Cross multiply

k=RA

Since R=12

A=1.5

So k=12×1.5

=18

a. We are to determine the value for R

So R=k/A

=18/5

=3.6

b.we are to determine the value for A

So R=k/A

A=k/R

=18/9

=2

Answer:

First page:

Calculate the surface area of shapes using two-dimensional nets.

Calculate the surface area of prisms by adding up the sides of each face.

(For the table use your glossary)

Second page:

1.) 6

2.) 7

3.)51

Answer:

4 1/6, 25/6, 4.167

Step-by-step explanation:

I'm dumb

Answer:

ok i will give the decimal and the fraction

deciaml is 4.16666666667 and the fraction is 25/6 or 4 1/6

Step-by-step explanation:

hopefully my answer helps

Answer:

Least: 10.5

Greatest: 14.125

Hope that helps!

Step-by-step explanation:

Answer:  A

I hope this is correct

Answer:

A would be the correct one

Step-by-step explanation:

Answer: the correct answer is A

Step-by-step explanation:

Answer:

b is the answer

Step-by-step explanation:

since the vertical angles are in the same degrees

4 and 2 are vertical,

2 and 6 are in the same degrees

which means 4 and 6 are congruent.

:D

Answer: the polygon has

Four sides

Step-by-step explanation:

A square has 4 interior angles of 90° each. 4×90°=360°

Answer:

No solutions

Step-by-step explanation:

Equations are represented with the "=" sign. It means the expressions on either side are equal. The equation has no solution for a

Given that:

[tex]a^{-3} = (\frac{1}{a})^5[/tex] --- the correct equation

First, we apply the power rule of indices

[tex]a^{-3} = (a^{-1})^5[/tex]

Open the bracket

[tex]a^{-3} = a^{-1 \times 5}[/tex]

[tex]a^{-3} = a^{-5}[/tex]

Cancel out (a) on both sides

[tex]{-3} ={-5}[/tex]

The above solution is not true because

[tex]{-3} \ne {-5}[/tex]

Hence, the equation has no solution for a

Read more about equations at:

https://brainly.com/question/10838664

Answer:

-0.6

Step-by-step explanation:

Given:

The box plots show daily low temperatures for a sample of days in two different towns.

We need to determine the most appropriate comparison of the spreads.

Interquartile range of town A:

The interquartile range can be determined by subtracting the end values of the boxes.

Thus, we have;

Interquartile range = 40 - 20

Interquartile range = 20

Thus, the interquartile range for town A is 20.

Interquartile range for town B:

The interquartile range for town B is given by

Interquartile range = 45 - 35

Interquartile range = 10

Thus, the interquartile range for town B is 10.

Hence, the interquartile range (IQR) for town A, 20° is greater than the IQR for town B, 10°

Hence, Option A is the correct answer.

Answer: The amount of carbon-14 remaining after 4 years is 99.95 grams.

Step-by-step explanation:

Hi, to answer this question we simply have to substitute t=4 in the equation given and solve for c.

c= 100 (0.99988)^t

c =100 (0.99988)^4

c = 100 x 0.999520086

c= 99.95200864 ≅99.95 grams (rounded)

The amount of carbon-14 remaining after 4 years is 99.95 grams.

Feel free to ask for more if needed or if you did not understand something.

The amount of carbon-14 remaining after 4 years is 99.95 grams.

Given that,

The amount c in grams of a 100-gram sample of carbon-14 remaining after t years is represented by the equation,

[tex]\rm c = 100(0.99988)^t[/tex]

We have to determine,

The amount of carbon-14 remaining after 4 years.

According to the question,

Equation; [tex]\rm c = 100(0.99988)^t[/tex]

Where the amount c in grams of a 100-gram sample of carbon-14 remaining after t years is represented by the equation,

To determine the amount of carbon-14 remaining after 4 years following all the steps given below.

Then,

The amount of carbon-14 remaining after 4 years is,

[tex]\rm c = 100(0.99988)^t\\\\\rm c = 100(0.99988)^4\\\\ c = 100 \times 0.999520086\\\\c = 99.95 \ gram[/tex]

Hence, The amount of carbon-14 remaining after 4 years is 99.95 grams.

For more details refer to the link given below.

https://brainly.com/question/5898472

2 possible solutions.

When width is 4 cm, length is 20 cm; When width is 20 cm, length is 4 cm

Step-by-step explanation:

Perimeter of the rectangle = 2(length + width)

48 = 2(length + x)

24 = length + x

⇒ Length = 24 - x

Area of the rectangle = length × width

80 = x (24 - x)

80 = 24x - x²

x² - 24x + 80 = 0

x² - 20x - 4x + 80 = 0

x(x - 20) - 4(x - 20) = 0

(x - 4)(x - 20) = 0

⇒ x = 4, 20

24 - x = 20, 4

So there are two possible answers.

When width is 4 cm, length is 20 cm

When width is 20 cm, length is 4 cm

Answer:

(5,8)

Step-by-step explanation:

(x,y) --> (x,-y)

The image of the point (5, -8) after a reflection over the x-axis is (5, 8).

When reflecting a point over the x-axis, the x-coordinate remains the same while the y-coordinate changes sign. Given the point (5, -8), after a reflection over the x-axis, the new coordinates will be (5, 8).

Here's the step-by-step process:

Keep the x-coordinate the same (x remains 5).

Change the sign of the y-coordinate (-y becomes 8).

Combine the new coordinates to get the reflected point (5, 8).

Therefore, the image of the point (5, -8) after a reflection over the x-axis is (5, 8).

Answer:1197m³

Step-by-step explanation:

Answer:

Volume of a triangular irregular prism=1300.16m^3 = 1300m^2

Volume of a rectangular prism two answers =  1197m^3 or  1233m^3

Step-by-step explanation:

With rectangular prism two answers we need the rectangle surface area first

A = 9 m x 19 m = 171m

or A = 7 m x 19m

The rectangle prism could be 1197m^3  or 1233m^3

depending how big the rectangle is as we calculate that first then multiply by depth. If we had the direction of measurement of the base we would just get one answer and not two.

Rectangular prism A = 171sq  

V = 1197m^3    =  (171sq x 7)

or V=  1233m^3  = 137sq x 9

If the prism is a irregular prism we add the surface area's

V = (a+b+c)B/3

V = (7x19)(9x7) (9x19) x B = 133 + 63 + 197 x 197  =  3900.5/3 =1300.16

Answer:

[tex] {x}^{2} + 5x[/tex]

[tex] {3x}^{2} - x[/tex]

[tex] {4x}^{2} + 6x[/tex]

[tex] {5x}^{2} - 15xy[/tex]

Answer:

81,000

Step-by-step explanation:

1      1,000x3=  3,000        

2     3,000x3= 9,000        

3     9,000x3= 27,000      

4     27,000x3= 81,000    

The number of bacteria on your phone after 4 hours is 81,000.

To calculate the number of bacteria on your phone after 4 hours using the exponential function f(x) = 1,000 * 3^x, we can substitute x with 4. So the equation becomes f(4) = 1,000 * 3^4.

Calculating this, we get f(4) = 1,000 * 81 = 81,000.

Point form:

(-2,6)

Equation form:

x=-2, y=6

Answer: the first and third one possibly but the first one for sure for sure

Hello :)

-18x - 17 = -53

-18x = -53 + 17

-18x = -36

-x = -2

x = 2

Answer = 2

Zeynoom Kopuyooz :d

Answer:

Step-by-step explanation:

- 18x - 17 = - 53

- 18x =- 53 + 17

- 18x = - 36

Minus sign will be canceled

18x = 36

x = 36 / 18

x = 2

Answer:

35x

Step-by-step explanation:

[tex]5x(f - 32) \div 9 \\ \\ = \frac{5x(f - 32)}{9} \\ \\ = \frac{5x(95- 32)}{9} \\ \\ = \frac{5x \times 63}{9} \\ \\ = 5x \times 7 \\ \\ = 35x[/tex]

Answer: (consider leaving a thanks)

Since the equation representing the total cost is C, we would write:

C = (rest of equation will go here)

Then, since the price goes up with the number of hours (h) by 65$ each hour, we would write it as (65h)

C = 65h (Final part!)

Finally, since 150$ is added on, and isn't connected to the number of hours we would write the equation like this:

C = 65h + 150