The population of deer in a state park can be predicted by the expression 106(1.087)t, where t is the number of years since 2010.

Answer:

y=1/3

3y=1...........(1)

x=1/2

2x=1..........(2)

:.

2x=3y

when x=1/4

2×1/4=3y

3y=1/2

y=1/(2×3)=1/6 is your answer

Answer:

y=5x+6

Step-by-step explanation:

The equation of line passes through the point (2, 16) will be;

⇒ y = 5x + 6

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (2, 16).

And, The parallel line is,

⇒ y = 5x + 8

Now,

Since, The equation of line passes through the point (2, 16).

So, We need to find the slope of the line.

Since, The slope of the parallel line is same.

Hence, Slope of the line is,

y = 5x + 8

m = dy/dx = 5

m = 5

Thus, The equation of line with slope 5 is,

⇒ y - 16 = 5 (x - 2)

⇒ y - 16 = 5x - 10

⇒ y = 5x - 10 + 16

⇒ y = 5x + 6

Therefore, The equation of line passes through the point (2, 16) will be;

⇒ y = 5x + 6

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Answer:

should be the last one 0.02

Answer: Standard Form

Step-by-step explanation:

In the slope intercept form, you can only solve for one equation at a time.

Ex: y = -2.5x + 15

but when using standard you can easly get the answer for both ticket prices

Ex: 25x + 10y = 150

5r + 2g = 30 is the linear equation that best describes the scenario.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given this, Hanna will spend $150 on music festival tickets. Reserved seat tickets cost $25 and general admission tickets cost $10.

Let "r" be the Number of reserved tickets she bought

and "g" be the number of  general admission tickets she bought

Money spent od reserved ticket = 25 * r

Money spent in general tickets = 10 *g

Since she totals spent 150$

Thus, the equation will be

25r + 10g = 150

Divide by 5 into both the sides

5r + 2g = 30

therefore, The linear equation that represents the given situation is 5r + 2g = 30.

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Answer:

Step-by-step explanation:

Given that the sales made are 4,567 ,5430, 3998, 5,220,and 4,906

the average is (4567+5430+3998+5220+4906)/5

=24121/5

=4824.2

in the month of august let the sales be x

average= (4567+5430+3998+5220+4906+x)/6

the average for march to july is 4824.2

4824.2= (4567+5430+3998+5220+4906+x)/6

24121+x=4824.2*6

24121+x=28945.2

x=28945.2-24121

x=4824.2

approximately 4824 games

Answer:

x=−y−1

Step-by-step explanation:

y=−x−1

Step 1: Flip the equation.

−x−1=y

Step 2: Add 1 to both sides.

−x−1+1=y+1

−x=y+1

Step 3: Divide both sides by -1.

−x

−1

=

y+1

−1

x=−y−1

Answer: the answer would be 18.85

Step-by-step explanation:

multiply 13 by 14.5 then divide by 1/10

Answer:

18.85

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Answer:

[tex]\boxed{\pink{\sf Value \ of \ third \ side \ is \ 7cm . }}[/tex]

Step-by-step explanation:

According to Question , equal sides of an isosceles triangle are given as 30 cm each if the perimeter of the triangle is 67 cm . And we need to find the third side .

Let us take the third side be x.

By Question ,

[tex]\implies Perimeter_{\triangle}= x + 30 cm + 30cm \\\\\implies 67cm = 60cm + x \\\\\implies x = 67cm - 60cm \\\\\underline{\boxed{\red{\tt\implies x = 7cm. }}}[/tex]

Hence the value of third side is 7cm.

Answer:

20 inches

Step-by-step explanation:

Mike needs to cut out circles with an area of 314 square inches.

Let d be the diameter of required the circle,

So, the area of the circle [tex]=\frac{\pi d^2}{4}[/tex]

[tex]\Rightarrow 314 = \frac{\pi d^2}{4}[/tex] [ given]

[tex]\Rightarrow 314\times 4 =\pi d^2[/tex]

[tex]\Rightarrow 314\times 4 =3.14 \times d^2[/tex]  [ using \pi=3.14]

[tex]\Rightarrow d^2=\frac{314\times 4}{3.14}[/tex]

[tex]\Rightarrow d^2=400[/tex]

[tex]\Rightarrow |d|=\sqrt{400}=20[/tex]

[tex]\Rightarrow d=\pm 20[/tex] inches

Neglecting the negative sign as the length of diameter can't be negative.

So, the diameter of the required circle is [tex]d=20[/tex] inches.

As the available fabric at the store is in the square shape for which length and width are the same, to cut out one circle of diameter [tex]d[/tex], the dimension of the square must be greater than or equal to [tex]d[/tex].

So, the length of the smallest square piece of the fabric Mike can purchase to use to cut out one of the circles is [tex]d=20[/tex] inches.

Answer:

Length = 4 times width

Area = length * width

=(4w)w

=4w²

So 4w²=1024 cm² (given)

w²=1024/4=256

w=√(256 cm²)

=16 cm (reject negative value of square-root)

Step-by-step explanation:

Hope this helps you

Crown me as brainliest:)

==============================================

Work Shown:

If you save 40%, then you pay 100% - 40% = 60% of the original price

final price = 60% of original price

final price = 0.60*(original price)

840 = 0.60x

0.60x = 840

x = 840/0.60

x = 1400

The ring was originally £1400 before the discount.

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The question is asking for a diagram of each triangle as though the other one were not there. The attached shows such a separation.

__

There are no common angles or sides. Side BD of ΔBDG is part of one side of ΔAEF.

Answer:

see attached

Step-by-step explanation:

Answer: I think you answer is -61 if not sorry

Step-by-step explanation:

Answer:

Coefficient of x, in this case, is '2'

Answer:

It should be $20,000

Step-by-step explanation:

From $20,000 to $14,000 = -30%

Which the -30% is the discount basically

So your final answer should be $20,000

$20,000 was the original price.

Answer:

41.8 years

Step-by-step explanation:

From

[tex]A = P(1+r/n)^{nt}[/tex]

A= 39000

r = 10.5%

P = $ 485

n=12

t = the unknown

t= [ ln(A) - ln(P) ] / n[ln(1 + r/n)]

t= ln 39000 - ln 485/ 12[ln(1+0.105/12)]

t= 10.57 - 6.18/0.105

t= 41.8 years

Answer:

20m-3

Step-by-step explanation: hope that helps :)

2+29m−9m−5

=2+29m+−9m+−5

Combine Like Terms:

=2+29m+−9m+−5

=(29m+−9m)+(2+−5)

=20m+−3

Answer:

Step-by-step explanation:

Answer:

your answer should be, D.135

i hope this helps!

Answer:

D) 135

Step-by-step explanation:

--------------- = 180 degrees

It's split and the other half is 45 degrees.

All you have to do is subtract.

180-45=135

<8 = D) 135

Answer:

2 4/5

Step-by-step explanation:

You first see how many times the bottom number can fit in the top number. The number 5 can go in 14 two times. It can't go in three because then it would be over 14. So you take that "2" and that is your hole number and you are left with 4/5. so 2 4/5

Answer:

It is c, 2 4/5

Step-by-step explanation:

5 goes into 14 2 times with 4/5 left over

Answer:

The student added instead of subtracting 6 from both sides first before dividing.

Answer:

2

Step-by-step explanation:

(4-5) - (13-18+2)

( -1) - ( -3)

-1 + 3

2

Answer:

hello

[tex](4 - 5) - (13 - 18 + 2) = ( - 1) - ( - 3) = ( - 1) + 3 = 2[/tex]

Answer:

(x-2)^2 x (x+2)^2

Step-by-step explanation:

Part A: 3x + 15 = 5x - 25

Part B: x = 20

Answer:

y= -1/3x-13/3

Step-by-step explanation:

(Refer to picture)

Use the general point-slope formula and plug in y1 and x1, then simplify

(I hope my handwriting isn't too bad, is so, I'll clarify any numbers you can't read.)

Answer:

Step-by-step explanation:

Volume of a sphere

The expression for the volume of a sphere is given as

V=4/3πr^3

Given that the radius is 2.3in

Substitute r= 2.3 in the expression to find the volume of the sphere

V=4/3*3.142*(2.3)^3

V=4/3*3.142*(12.167)

V=4/3*38.23

V=152.9/3

V=50.97in^3

Therefore the volume of the ornament is 50.97in^3