3. Two consecutive odd integers can be modeled by n and n + 2, where n is an
odd integer. The sum of two consecutive odd integers is 80. What are the
integers?

Answer:

Rs 1,437.5

Step-by-step explanation:

VAT = 15% = 15/100 × Rs 1250 = Rs 187.5

the price inclusive of VAT = Rs 1,250 + Rs 187.5

= Rs 1,437.5

The Rule for reflection over the y-axis is given by (x,y) to (-x,y).

so, J' (-10,-8)

✐----------------------

hope it helps...

have a great day!

Answer:

J' Coordinates = (-5, -8)

Step-by-step explanation:

We know that in the coordinate point J (5, -8);

x-value = 5

y-value = -8

In order to reflect J over the y-axis, we will keep the y-value of the coordinate same and then reverse the x-value to it's opposite, Therefore the J' coordinates would be;

x-value = -5

y-value = -8

J' Coordinates = (-5, -8)

Hope this helps!

The probability that the Yankees would score fewer than 5 runs when they win the game is 0.204 if the probability that the Yankees will win a game is 0.6

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The probability that the Yankees will win a game P(win) = 0.6

The probability that the Yankees will score 5 or more runs in a game is:

P(s>5) = 0.57

The probability that the Yankees lose and score fewer than 5 runs is:

P(s<5) = 0.34

To find the probability that the Yankees would score fewer than 5 runs when they win the game:

This is the case of probabilities of one event and another event together we will multiply the respective probabilities of the event:

= P(win)×P(s<5)

= 0.6×0.34

= 0.204

Thus, the probability that the Yankees would score fewer than 5 runs when they win the game is 0.204 if the probability that the Yankees will win a game is 0.6

Learn more about the probability here:

brainly.com/question/11234923

Answer:

The substance half-life is of 4.98 days.

Step-by-step explanation:

Equation for an amount of a decaying substance:

The equation for the amount of a substance that decay exponentially has the following format:

[tex]A(t) = A(0)e^{-kt}[/tex]

In which k is the decay rate, as a decimal.

k-value of 0.1392.

This means that:

[tex]A(t) = A(0)e^{-0.1392t}[/tex]

Find the substance's half life, in days.

This is t for which [tex]A(t) = 0.5A(0)[/tex]. So

[tex]A(t) = A(0)e^{-0.1392t}[/tex]

[tex]0.5A(0) = A(0)e^{-0.1392t}[/tex]

[tex]e^{-0.1392t} = 0.5[/tex]

[tex]\ln{e^{-0.1392t}} = \ln{0.5}[/tex]

[tex]-0.1392t = \ln{0.5}[/tex]

[tex]t = -\frac{\ln{0.5}}{0.1392}[/tex]

[tex]t = 4.98[/tex]

The substance half-life is of 4.98 days.

Answer:

400

Step-by-step explanation:

12.50times 32

Answer:

8:30 am

Step-by-step explanation:

Answer:

8:30 a.m

Step-by-step explanation:

8:00

+ 30

_____

8:30 a.m

Answer:

she will need to work for 55 hours to buy the phone

Step-by-step explanation:

680 - 240 = 440

that's how much more she needs

449 ÷ 8 = 55

and that's the answer

55

hope that helped

Answer:

55 hours

Step-by-step explanation:

Well first we need to set up the equation

We know she needs 680$ to buy the phone so the equation must be equal to 240

She has 240 and earns 8 dollars per hr so were finding out how many hours of work is needed to be able to buy the phone

Represent the number of hours worked by "x"

Set the equation up as

240 + 8x = 680

Add -240 to both sides of the equation to make 240 be 0 and 680 be 440

8x = 440

divide both sides of equation by 8 to get what x equals

x=55

She needs to work 55 hours

Answer:

Sailing end at 3:15 AM

Step-by-step explanation:

Connor did archery and sailing before dinner (in that order).

He started at 12:00 PM

We know that:

In archery, Connor spent 1 hour and 15 minutes

In sailing, Connor spent 2 hours.

The total time spent is:

1 hour + 15 minutes + 2 hours

3 hours + 15 minutes.

Then sailing end 3 hours and 15 minutes after 12:00 pm = 0:00 am, this is:

3:15 AM

Sailing end at 3:15 AM

Answer:

cot(x) + sec(x)

Step-by-step explanation:

[tex]\frac{(cos(x)+tan(x))}{sin(x)} \\\\\csc(x) = \frac{1}{sin(x)} \\\\csc(cos(x)+tan(x))\\\\(csc(x))(cos(x))= cot(x)\\\\(csc(x))(tan(x))=sec(x)\\[/tex]

Therefore, the expression equivalent to [tex]\frac{(cos(x)+tan(x))}{sin(x)}[/tex] is cot(x) + sec(x).

Answer:

Step-by-step explanation:

1) Impossible, a six sided die can't have 8 if it's six sided

2) Unlikely, there isn't an equal amount of boys and girls, so it wouldn't be neither likely or unlikely or likely, or impossible

3) Likely, there are more birds than other animals

4) Neither likely nor unlikely, because there is an equal amount of short straws and long straws

Answer:

51

Step-by-step explanation:

The range is the largest number minus the smallest number

The largest number is 54 and the smallest number is 3

54-3 = 51

Answer:

x = [tex]\frac{1}{2}[/tex] , x = 1

Step-by-step explanation:

Given

[tex]\frac{2x}{x+3}[/tex] + [tex]\frac{3}{x-3}[/tex] = [tex]\frac{8}{x^2-9}[/tex] ← denominator is a difference of squares

[tex]\frac{2x}{x+3}[/tex] + [tex]\frac{3}{x-3}[/tex] = [tex]\frac{8}{(x+3)(x-3)}[/tex]

Multiply through by (x + 3)(x - 3) to clear the fractions

2x(x - 3) + 3(x + 3) = 8 ← distribute left side and simplify

2x² - 6x + 3x + 9 = 8

2x² - 3x + 9 = 8 ( subtract 8 from both sides )

2x² - 3x + 1 = 0 ← in standard form

(2x - 1)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]

x - 1 = 0 ⇒ x = 1

Answer:

The y-int is different -1 is the y-int.

Step-by-step explanation:

Answer:

A. [tex]2\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]-2\frac{1}{3} -(-5)[/tex]

[tex]-2\frac{1}{3} +5[/tex]

Answer:it's A

Step-by-step explanation:

Answer:

Step-by-step explanation:

90 = 10x+30

60 = 10x

6 = x

Answer:

b=5√3

Step-by-step explanation:

Find the last side of the triangle using the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2} \\5^{2} +b^{2} =10^{2} \\b^{2} =10^{2}-5^{2}\\\\b=5\sqrt{3}[/tex]

Answer:

285.25

Step-by-step explanation:

Basically we multiply them as normal numbers so,

815*35 = 28525

Then we take the amount of spots each number had to the RIGHT of the decimal point

81.5 = 1

3.5 = 1

1+1= 2

So: 28525. move to the left 2 times to get 285.25

Answer:

here u go

Step-by-step explanation:

and here is 8 and 9

Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

Umm I believe it would be 7189939

Answer:decrease by 12 feet

Step-by-step explanation:I did the math

A rectangular table has an area of 27 square feet. If its length and width are changed to 2/3 of their original size, the new area will be decreased by 12.

The area of a rectangle is the product of its length and width.

If a rectangle has a length L units and a width of W units, then

Area = L × W squared units.

A rectangular table has an area of 27 square feet. If its length and width are changed to 2/3 of their original size, what will be the effect on the area.

Area = L × W

Let the length and width are x and y

27 = x × y

xy = 27

The new area if its length and width are changed to 2/3 of their original size

Area = L × W

[tex]27 \times 2/3 \times 2/3\\\\= 3 \times 4\\\\= 12[/tex]

Therefore, the new area will be decreased by 12.

Learn more about the area of a rectangle here:

https://brainly.com/question/4887838

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Answer:

g(x) = 12*x^2 + 8

Step-by-step explanation:

For a function f(x), a vertical stretch of scale factor k is defined as:

g(x) = k*f(x)

In this case, we know that f(x) = 3*x^2 + 2

And the function g(x) is the function f(x) vertically stretched by a factor of 4, then we have k = 4

and:

g(x) = 4*f(x)

Replacing by the actual function, we get

g(x) = 4*(3*x^2 + 2)

g(x) = 4*3*x^2 + 4*2

g(x) = 12*x^2 + 8

Answer:

12,18 6 inbetween

Step-by-step explanation:

Answer:

43.9823

Step-by-step explanation:

[tex]Arc length = 2\pi r(\frac{0}{360} )\\ = 2\pi 12(\frac{210}{360} )[/tex]

Answer:

Quadrant I and quadrant IV

Step-by-step explanation:

Given that cos x< 0

x < arccos 0

x < 90degres

Since cos s positive in the first and 4th quadrant, hence the angle lies in the Quadrant I and quadrant IV