The mean age of a herd of cows is 7.9 years. A cow that is 0.5 years old is
added to the herd. How does this cow's age affect the mean?

Answer:

Step-by-step explanation:

y = 5900 - x

Simple interest = Prt

Simple interest on $x = x * 0.11 * 1 = 0.11x

Simple interest on $ (5900 - x) = (5900 - x) * 0.07 * 1

                                                   = (5900 - x) * 0.07

                                                   = 5900 * 0.07 - x * 0.07

                                                   = 413 - 0.07x

Return from tow investment =  $ 537

0.11x + 413 - 0.07x = 537  

Add the like terms

0.04x + 413 = 537

Subtract 413 for both sides

0.04x = 537 - 413

0.04x = 124

x = 124 /0.04

x = 3100

y = 5900 -  3100 = 2800

x = $ 3100

y = $ 2800  

Answer:

The answer is 3968

63 squared= 3969

3969-1 = 3968

A solution is an assignment of values to the unknown variables that makes the equality in the equation true.

Answer:

what the variable is equal to

Step-by-step explanation:

for example, in a equation like 1x = 2x/2 the solution could be x=1

Answer:

361.25

Step-by-step explanation:

first subtract her sales

900 - 500 equals 400

next subtract her earnings

489-405= 85

next divide the remainder of her earnings by the remainder of her sales

85/400=.2125

finally multiply this by 1700

0.21 to 5 * 1700 equals 361.25

Answer:

The answer is option D.

All real numbers including zero

Hope this helps

Answer:

all non zero real numbers is the answer to the question.

this is because 0 cannot be a function of f of x because you would have undefined as an answer so therefore the answer is all non zero real numbers

Answer:

no solutions

Step-by-step explanation:

x-y=6

y=x-4

Subtract x from each side

-x+y = x-4-x

-x+y = -4

Add this to the first equation

x-y=6

-x+y = -4

---------------

0x + 0y = 2

0=2

This is never true so there are no solutions

Answer:

No solutions.

Step-by-step explanation:

x - y = 6

y = x - 4

Solve for x in the first equation.

x = 6 + y

Put x as 6 + y in the second equation and solve.

y = (6 + y) - 4

y - y = 6 - 4

0 = -2

There are no solutions.

Answer: See below

Step-by-step explanation:

Make a table with first set of numbers as 1,3. Multiply both the numbers of this set sequentially by natural numbers to get the following table

1   2  3  4    5    6     7    8     9      10......

3  6  9  12  15    18   21   24   27    30......

We see that in each set of numbers the 2nd number is 3 times the first number.

If we plot these sets of numbers on a graph paper, we get a model depicting all the points which satisfy this ration requirement.

[tex]

9y+18-5y+30=-4y-9 \\

8y+57=0 \\

y=-\frac{57}{8}=-7.125 \\

[/tex]

Hope this helps.

Answer:

[tex]y = -7 \frac{1}{8}[/tex]

Step-by-step explanation:

First off, Let's Simplify!

[tex]9y + 18 - 5y + 30 = -4y - 9[/tex]

Next, Let's Combine Like Terms!

[tex]9y - 5y + 18 + 30 = -4y - 9[/tex]

~~~~~~~~~~~~~~~~~~~~~~~

   [tex]4y + 48 = -4y - 9[/tex]

Now, Let's Isolate the Variable!

[tex]8y + 48 = -9[/tex]

[tex]8y = -57[/tex]

Final Answer:

[tex]y = -7 \frac{1}{8}[/tex]

Hope that helps and maybe earns a brainliest!

Answer:

Total released water = 15,664,310,000 cubic feet

Total % of released water = 1.04%

Step-by-step explanation:

Given:

Water capacity = 1,500,000,000,000 cubic feet

Total seconds in a week = 7 × 24 × 60 × 60

Per seconds release amount = 25,900 cubic feet

Computation:

Total released water = 25,900 × 7 × 24 × 60 × 60

Total released water = 15,664,310,000 cubic feet

Total % of released water = 15,664,310,000 cubic feet / 1,500,000,000,000

Total % of released water = 0.0144

Total % of released water = 1.04%

Step-by-step explanation:

6/9 divide top and bottom by 3 to get 2/3

Now reduce each of the fractions to the lowest terms, and look for one that gives 2/3.

12/8 = 3/2  (divide by 4 top and bottom)

8/12 = 2/3  (divide by 4 top and bottom)  This is a solution

10/12 = 5/6 (divide by 2 top and bottom)

8/13 (cannot be reduced)

Therefore the second fraction (8/12) forms a proportion with 6/9.

Answer:

8/12

Step-by-step explanation:

divide through by 2 6/9 = 2/3

also,

divide through by 4

8/12 = 2/3

6/9 = 8/12

Answer:

there were 22 folders originally

Michaela originally has 27 folders. Hence option D) is correct.

Michaela has three times  as many folders as Alejandro.
Michaela gives Alejandro 5 folders, but still has 8 more than Alejandro.

In mathematics it deals with numbers of operations according to the statements.

Now, let Alejandro has x folders corresponding Michaela has 3x folders
According to the condition
3x-5 =  x+5+8

2x = 18
x = 9
now
Michaela = 3x
= 3 x 9
= 27

Thus, Michaela originally has 27 folders.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Answer:

They did pay at the same rate

Step-by-step explanation:

when dividing 47 by 3 you get 15.666... and when dividing 141 by 9 you also get 15.666... using this you can deduce that it is the same rate.

Answer:

Yes

Step-by-step explanation:

We can use ratios for this:

Diego:

47:3 tickets

Divide both sides by 3 so you get the price of one ticket

15.67: 1 ticket

Andre:

141: 9 tickets

Divide both sides by 9 so you get the price of one ticket

15.67: 1 ticket

Answer:

[tex]$k=\frac{7}{4} $[/tex]

Step-by-step explanation:

[tex]2x^2+px-15=0[/tex]

Once [tex]x=-5[/tex]

[tex]2(-5)^2+p(-5)-15=0[/tex]

[tex]2(25)-5p-15=0[/tex]

[tex]50-5p-15=0[/tex]

[tex]35-5p=0[/tex]

[tex]p=7[/tex]

Quadratic Equation:

[tex]2x^2+7x-15=0[/tex]

[tex]p(x^2+x)+k=0 \Rightarrow 7(x^2+x)+k=0 \Rightarrow 7x^2+7x+k=0[/tex]

[tex]\Delta=b^2-4ac[/tex]

[tex]\Delta=7^2-4(7)k[/tex]

[tex]\Delta=49-28k[/tex]

The quadratic equation having two equal roots means that the discriminant is equal to zero.

[tex]0=49-28k[/tex]

[tex]-49=-28k[/tex]

[tex]$k=\frac{49}{28} $[/tex]

[tex]$k=\frac{7}{4} $[/tex]

Answer:

solution,

In a parallelogram, diagonal bisects angle into two equal parts. So,

<TVU=<TVW

or, 5x=50

or, X=50/5

X=10

Hope this helps..

Good luck on your assignment.

Answer:

[tex]x = 10[/tex]

Step-by-step explanation:

WVT angle = UTV angle (alternative angles)

[tex]80 + 5x + 50 =1 80 \\ 130 + 5x = 180 \\ 5 x = 180 - 130 \\ 5x = 50 \\ \frac{5x}{5} = \frac{50}{5} \\ x = 10[/tex]

Answer:

Yes

Step-by-step explanation:

Answer:

Vertex: (0, 12)

Direction: Upwards

Step-by-step explanation:

Easiest way to do this is to graph it. When you do so you should be able to see that your vertex is at (0, 12) and that the graph opens upwards (a is not negative, so no reflection over the x-axis).

Answer:

5(x+11)/3(x+8) = 5x+55/3x+24

Step-by-step explanation:

The Answer Happens to be:

c

Answer:

process of elimination

Step-by-step explanation:

Answer:

The 1st step in problem solving is defining your variables.

Step-by-step explanation:

When you read the word problem, you have to make sure you know which variables are which, or else you will get lost. If you don't label your variables, then you will not be able to answer the question properly.

Answer:27.5

Step-by-step explanation:

Answer:

B. 27.5

Step-by-step explanation:

37 is the Q2, which is the median,

Q1 is 27 + 28 / 2 = 27.5

Answer:

The coordinates of C are (2,2)

Answer:

You can verify if lines are parallel if they have the same slope and different y-intercepts and if they don't intersect each other. You can also graph the 2 equations to see if they ever intersect.

Step-by-step explanation:

Answer:

C. Check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. Took the test just now and got it right

Step-by-step explanation:

Answer:

the answer is X<3

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer: D

Step-by-step explanation:

All would add up to 241 instead of 2.41 because you are not using decimals for the constants (Example: 25q not .25q)

Answer: a = 0.3

Step-by-step explanation:

First, distribute(-1)

5.3a-0.8-1.6+4.7a=2a-(a-0.3)

Then, distribute(-1)

5.3a-0.8-1.6+4.7a=2a-a+0.3

Then, combine like terms

10a-2.4=a+0.3

Then, add(2.4)

10a=a+2.7

Then, subtract(a)

9a=2.7

Then, divide(9)

a = 0.3

Hope it helps <3

Answer:

a = 0.3.

Step-by-step explanation:

(5.3a−0.8)−(1.6−4.7a)=2a−(a−0.3)

5.3a − 0.8 − 1.6 + 4.7a = 2a − a + 0.3

5.3a + 4.7a - 2a + a =  0.3 + 0.8 + 1.6

9a = 2.7

a = 0.3.

Answer:

12

Step-by-step explanation:

Ama's sister is 12 now and Ama is 8. 8/12 simplified is 2/3.

Four years ago Ama's would have been 4 and her sister would have been 8. 4/8 simplified is 1/2.

The equations:

(Ama is a)

(Ama's sister is s)

a = (2/3)s

a - 4 = (1/2)(s - 4)

Step one:

You would substitute the first equation into the second equation to get

(2/3)s - 4 = (1/2)(s - 4)

Step two:

Multiply by 6 to get rid of the fractions to get

4s - 24 = 3(s - 4)

Step three:

Simplify to get

4s - 24 = 3s - 12

Step four:

Subtract 3s and add 24 to get

s = 12

Step five:

Input the s value into the first equation to get

a = (2/3)(12) = 8

If this helped please rate, thanks, and mark brainliest! Also, please comment if it's correct :)

Step-by-step explanation:

let ama's age be x

and ama's sister be y

according to question

3x=2y --------(1)

x-4=(y-4)/2 ---------(2)

after solving equation (1) and (2)

we get ama's age is 8 years and AMA'S SISTER AGE IS 12 years

Answer:

-1

Step-by-step explanation:

Move the +16 onto the other side. We now have 52 = -52x. Divide each side by 54 to get x = -1.

Answer:

-1=x

Step-by-step explanation:

68=-52x+16

Minus sixteen on both sides

52=-52x

Divide -52 on both sides which will equal to -1

-1=x

Answer:

The length of the base is 11 meters.

Step-by-step explanation:

The diagram of the triangle is not shown; However, the given details are enough to solve this question.

Given

Shape: Triangle

Represent the height with h and the base with b

[tex]b = 3 + 2h[/tex]

[tex]Area = 22[/tex]

Required

Find the length of the base

The area of a triangle is calculated as thus;

[tex]Area = \frac{1}{2} * b * h[/tex]

Substitute 22 for Area and 3 + 2h for b

The formula becomes

[tex]22 = \frac{1}{2} * (3 + 2h) * h[/tex]

Multiply both sides by 2

[tex]2 * 22 = 2 * \frac{1}{2} * (3 + 2h) * h[/tex]

[tex]44 = (3 + 2h) * h[/tex]

Open the bracket

[tex]44 = 3 * h + 2h * h[/tex]

[tex]44 = 3h + 2h^2[/tex]

Subtract 44 from both sides

[tex]44 - 44 = 3h + 2h^2 - 44[/tex]

[tex]0 = 3h + 2h^2 - 44[/tex]

Rearrange

[tex]0 = 2h^2 +3h - 44[/tex]

[tex]2h^2 +3h - 44 = 0[/tex]

At this point, we have a quadratic equation; which is solved as follows:

[tex]2h^2 +3h - 44 = 0[/tex]

[tex]2h^2 + 11h - 8h - 44 = 0[/tex]

[tex]h(2h + 11) - 4(2h + 11) = 0[/tex]

[tex](h - 4)(2h + 11) = 0[/tex]

Split the above

[tex](h - 4) = 0\ or\ (2h + 11) = 0[/tex]

[tex]h - 4 = 0\ or\ 2h + 11 = 0[/tex]

Solve the above linear equations separately

[tex]h - 4 = 0[/tex]

Add 4 to both sides

[tex]h - 4 + 4 = 0 + 4[/tex]

[tex]h = 0 + 4[/tex]

[tex]h = 4[/tex] ---- First value of h

[tex]2h + 11 = 0[/tex]

Subtract 11 from both sides

[tex]2h + 11 - 11 = 0 - 11[/tex]

[tex]2h = 0 - 11[/tex]

[tex]2h = -11[/tex]

Divide both sides by 2

[tex]\frac{2h}{2} = -\frac{11}{2}[/tex]

[tex]h = -\frac{11}{2}[/tex] ------ Second value of h

Since height can be negative, we'll discard [tex]h = -\frac{11}{2}[/tex]

Hence, the usable value of height is [tex]h = 4[/tex]

Recall that [tex]b = 3 + 2h[/tex]

Substitute 4 for h

[tex]b = 3 + 2(4)[/tex]

[tex]b = 3 + 8[/tex]

[tex]b = 11[/tex]

Hence, the length of the base is 11 meters

Answer: 74 Cups

Step-by-step explanation:

What is the question asking?

The question is asking for the minium number of cups Lauren needs to sell

Total in profits they need to make?

They need to make 183$ because 175 + 8 = 183

183 / 2.5 = 73.2

because we need to sell at least 183$ worth we need to sell 74 cups or else we will not be making it all the way there.

<!> Brainliest would be appreciated! <!>

Answer:

≈ 5.8

Step-by-step explanation:

Step 1: Round the fractions

29 1/5 = 146/5 = 29.2 ≈ 29

4 6/7 = 34/7 = 4.85714 ≈ 5

Step 2: Divide

29/5 = 5.8

The answer is under

Answer:

[tex]\frac{2x - 2}{x^2+3x-4}[/tex]

Step-by-step explanation:

In the figure attached, the question is shown. The function:

[tex]\frac{2x - 2}{x^2+3x-4}[/tex]

has a horizontal asymptote at y = 0 because the degree of the nominator polynomial is less than the degree of the denominator polynomial.

The roots of x² + 3x - 4 are -4 and 1

Then, x² + 3x - 4 = (x + 4)(x - 1)

The function has a vertical asymptote at x = -4 because it is a root of the denominator polynomial.

The function can be simplified as follows:

[tex]\frac{2(x - 1)}{(x+4)(x-1)}[/tex]

[tex]\frac{2}{x+4}[/tex]

Then, it has a removable discontinuity at x = 1

Answer:

D

Step-by-step explanation: