Find the sum of
5
5
5
5
​
and
2
9
2
9
​
in simplest form. Also, determine whether the result is rational or irrational and explain your answer.

Step-by-step explanation:

the answer is in the image above

Answer:

[tex]x=-1[/tex]

Step-by-step explanation:

[tex]9x+8=7x+6[/tex]

Keep the variables in the left side & rest in the left side:

[tex]9x-7x=6-8[/tex]

[tex]2x=-2[/tex]

[tex]x=-2/2[/tex]

[tex]x=-1[/tex]

Answer:

The value of x = 6

Step-by-step explanation:

Given:

√x + 3 = x - 3

Find:

The value of x

Computation:

Given expression

√x + 3 = x - 3

Squaring both side

(√x + 3)² = (x - 3)²

x + 3 = x² + 3² - (2)(x)(3)

x + 3 = x² + 9 - 6x

x² + 9 - 6x - x - 3 = 0

x² + 7 - 5x = 0

x² - (6 + 1)x + 6 = 0

x² - 6x - x + 6 = 0

x(x - 6) -1(x - 6) = 0

(x - 6)(x - 1) = 0

x = 6 and x = 1

The value of x = 6

Answer:

In 3 years, the interest of a sum of rs 3600 at the rate of 5.5% per year be Rs 594.

Step-by-step explanation:

T = ?

R = 5.5%

P = Rs 3600

I = Rs 594

so

T = (I×100)/(P×R)

or, T = (594×100)/(3600×5.5)

or, T = 59400/19800

so, T = 3 yrs

CA would be 7 cause the perpendicular bisector splits the triangle evenly in half :]

Answer:

Initial mass = 25 grams

Step-by-step explanation:

[tex]\left(\frac{x}{x+20}\right)\:=\:\:\left(\frac{x}{x+5}\:-.3\:\right)[/tex]

x = 20 (mass of copper)

[tex]\frac{20}{20+5} = .8 = 80[/tex] percent

[tex]\\\frac{20}{20+15} = .5 = 50[/tex] percent  

Answer:

1.) Roses ; 2.) Alfalfa

Step-by-step explanation:

Given the graph below :

1 fruit = 5 ladybugs

Initial number of ladybugs on the roses = (7*5) = 35 lady bugs

Subtracting 10 ladybugs from lettuce and adding to the Alfalfa ;

Total number of ladybugs on the Alfalfa = (25 + 10) = 35 ladybugs

Hence, both the Roses and Alfalfa now have the same number of ladybugs.

Lettuce has 5 and grape has 10 Ladybugs

Hence, number of ladybugs on the Roses and Alfalfa are the same.

Answer:

2.92

Step-by-step explanation:

bvscscscscsccscd

Answer:

2.92

Is what I rounded

and hope it helps

Answer:

x= -1, y = -1

Step-by-step explanation:

-16x +24y = -8

16x -8y = -8

16y = -16

y=-1

16x = -16

x = -1

Answer:

x = - 0.25 = - 1 / 4

y = 0.5 = 1 / 2

Step-by-step explanation:

4x + 6y = 2

Divide 2 on both sides,

2x + 3y = 1 ----> eq. 1

16x - 8y = - 8

Divide - 8 on both sides,

- 2x + y = 1 ----> eq. 2

Add eq. 1 and 2,

2x + 3y = 1

- 2x + y = 1

_________

0 + 4y = 2

4y = 2

y = 2 / 4

y = 1 / 2

y = 0.5

Substitute y = 0.5 in eq. 2,

- 2x + y = 1

- 2x + 0.5 = 1

- 2x = 1 - 0.5

- 2x = 0.5

x = 0.5 / - 2

x = - 0.25

Answer:

64 = 2(3x + x)

Step-by-step explanation:

Perimeter of the rectangle = 64 cm

Width of the rectangle = x

Length of the rectangle = 3x

Perimeter of a rectangle = 2(length + width)

The equation is

64 = 2(3x + x)

64 = 6x + 2x

64 = 8x

x = 64/8

x = 8 cm

Width of the rectangle = x = 8 cm

Length of the rectangle = 3x

= 3(8 cm)

= 24 cm

Complete Question

Recall that the trash bag manufacturer has concluded that its new 30-gallon bag will be the strongest such bag on the market if its mean breaking strength is at least 50 pounds. In order to provide statistical evidence that the mean breaking strength of the new bag is at least 50 pounds, the manufacturer randomly selects a sample of n bags and calculates the mean _ x of the breaking strengths of these bags. If the sample mean so obtained is at least 50 pounds, this provides some evidence that the mean breaking strength of all new bags is at least 50 pounds. Suppose that (unknown to the manufacturer) the breaking strengths of the new 30-gallon bag are normally distributed with a mean of m 5 50.6 pounds and a standard deviation of s 5 1.62 pounds. a Find an interval containing 95.44 percent of all possible sample means if the sample size employed is n=4

Answer:

[tex]X=(48.98,52.22)[/tex]

Step-by-step explanation:

From the question we are told that:

Sample Mean [tex]\mu=50.6[/tex]

[tex]\sigma =1.62[/tex]

Sample size [tex]n=4[/tex]

Level of significance [tex]\alpha 100-95.4=>4.56[/tex]

Therefore

[tex]Z-value( \alpha/2)=2[/tex]

Generally the equation for Interval is mathematically given by

[tex]X=\mu \pm z(alpha/2)* \frac{sd}{sqrt(n)}[/tex]

[tex]X= 50.6 \pm z(0.0456/2)* \frac{1.62}{sqrt(4)}[/tex]

[tex]X=50.6 \pm 2*\frac{1.62}{2}[/tex]

[tex]X=(48.98,52.22)[/tex]

Answer:

a. 3x (150 degrees)

b. 9x (180 degrees)

c. 3x - 20 (220 degrees)

Answer:

$960

Step-by-step explanation:

Let the original amount be = x

Percentage increase is equal to = 12.5%

final amount = original amount + increase

final amount = x + 0.125x

final amount = 1.125x

final amount = 1080 = 1.125x

and then solve for x

[tex]x = \frac{1080}{1.125} \\ \\ x = 960[/tex]

so in the end x is equal to $960

Solve the equation: 1080 = 1.25x

Answer: some parts of your question is missing below is the missing data

Determine if the given vector field F is conservative or not. F = −6e^y, (−6x + 3z + 9)e^y, 3e^y

answer:

F is conservative

F = -6xe^y + ( 33 + 9 ) e^y + C

Step-by-step explanation:

The Potential functions for F so that F = ∇f.

F = -6xe^y + ( 33 + 9 ) e^y + C

attached below is a detailed solution

Answer:

[tex](8x - 14) + (2x + 54) = 180 \\ 8x + 2x - 14 + 54 = 180 \\ 10x - 14 + 54 = 180 \\ 10x + 40 = 180 \\ 10x = 180 - 40 \\ 10x = 140 \\ x = \frac{140}{10} \\ x = 14[/tex]

Answer:

D

Step-by-step explanation:

I like count by hand. If all else fails (like not being able to enter -12 into your calculator), counting by hand is a time honored method of getting answers.

That is never the answer in a math class. You should answer dividing -12 by 2

Answer:

Step-by-step explanation:

ok bro la primera es

If you plug in n = 1, then you get 3*n+5 = 3*1+5 = 3+5 = 8. So 8 is the first term.

Repeat for n = 2 and you should get 3n+5 = 3*2+5 = 6+5 = 11. Or simply add 3 to the last term 8 to get 3+8 = 11.

Repeat for n = 3 and n = 4 to get the third and fourth terms to be 14 and 17 respectively.

Answer:

39 minutes

Step-by-step explanation:

Ok so first I found the difference between 1pm and 3:52 pm and it was 2 hours and 52 minutes

So then I took the 4 class periods and times it by for to see to total of minutes between class periods which was 16

Then I subtracted 16 for 52 to get 36 minutes

So now the time for class periods was 2.36 minutes

So I took that numbers and divided it by the 4 class periods and got 39 minutes.

Wow those are short class periods, mine are normally like an hour, but anyways hope this helped :). If I'm wrong please correct me. :)

There are 40 minutes in each class period if the afternoon classes in a school begin at 1 PM and end at 3:52 PM.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

The afternoon classes in a school begin at 1 PM and end at 3:52 PM.

Duration of school = 2 hours and 52 minutes

Or

Duration of school = 172 hours

There are 4 class periods with 4 minutes between classes.

Duration of classes = 172 - 4(3)

Duration of classes = 172 - 12

Duration of classes = 160 minutes

Total minutes for each class period = 160/4 = 40 minutes

Thus, there are 40 minutes in each class period if the afternoon classes in a school begin at 1 PM and end at 3:52 PM.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

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Answer:

17310.6

$540.15 multiply 30

because if they ask all in every month is 540.15

and she got 30 year

Susie will pay a total of $44,454 in interest over the 30 years of mortgage payments.

To determine the total interest Susie will pay over the 30 years of mortgage payments, we need to subtract the principal amount (the original loan amount) from the total amount she will pay over the 30 years.

First, let's calculate the total amount she will pay over the 30 years by multiplying her monthly payment by the number of months in 30 years:

Total amount paid = Monthly payment x Number of months

= $540.15 x (30 years x 12 months/year)

= $540.15 x 360

= $194,454

Next, we subtract the principal amount from the total amount paid to find the total interest paid:

Total interest paid = Total amount paid - Principal amount

= $194,454 - $150,000

= $44,454

Therefore, Susie will pay a total of $44,454 in interest over the 30 years of mortgage payments.

Learn more about interest at https://brainly.com/question/25793394

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Answer:

what is question of this you asked

Answer

A is the symbol for parallel lines AB and XY.

Explanation

B shows that line segment AB and XY are parallel, because there are no arrows, and line segments do not extend forever.

C shows that ray AB and XY are parallel, because there is one arrow, and rays only extend on one point.

Only A shows that line AB and XY are parallel. Lines extend forever, the A shows that AB and XY are parallel, since there are arrows in both directions above AB and XY.

Answer:

(-1,3) and (2,6)

Step-by-step explanation:

The solution to the system is where the two graphs intersect

The graphs intersect at x=-1 and y =3  and x = 2 y=6

(-1,3) and (2,6)

Given:

y = 6

z = 2

To find:

value of expression 3y - z/y + 5z or (3y-z)/(y+5z)

Steps:

substituting the values we get,

3(6)-2/6 + 5(2)

= 18 - 1/3 + 10

= 27 + 2/3

since thats not there in the options i will try the 2nd one, (next time when writing question pls put brackets to signify if we to divide 2 numbers by and number

[tex]\frac{3(6)-2}{6+5(2)}[/tex]

[tex]=\frac{18 - 2}{6 + 10}[/tex]

[tex]= \frac{16}{16}[/tex]

[tex]= 1[/tex]

Therefore, the answer is option A) 1

Happy to help :)

If u need help, feel free to ask

Answer:

[tex]\huge\boxed{\boxed{s=P-t-r}}[/tex]

Step-by-step explanation:

[tex]P=s+t+r\qquad|\text{subtract}\ t\ \text{and}\ r\ \text{from both sides}\\\\P-t-r=s+t+r-t-r\\\\P-t-r=s\Rightarrow\boxed{s=P-t-r}[/tex]

Answer:

The coordinates of the points in the graph are;

(5, 2), (10, 3.5), (15, 5), 20, 5.5)

The data points are plotted using MS Excel

Given that the height of a person stops increasing beyond around 20 years of age, it is expected that the height will remain slightly the same at 5.5 feet beyond 20 as follows;

(25, 5.5), (30, 5.5), (35, 5.5), (40, 5.5)

Therefore, if the data were to extend beyond 20, the linearization will give a more horizontal line with a gentler slope

Please see attached graphs created with MS Excel

Step-by-step explanation: