The population of a town has been growing, following the equation P=400t+3000, where t is years after 2010. The number of restaurants in the town has been growing according to the equation R=6t+35.

Complete an equation for the number of restaurants per capita (per person)

Restaurants per capita: ______

How many restaurants per capita does this model predict for the year 2016?_______

Please also explain it to me, only if you can! Thank you!

Answer:

C

Step-by-step explanation:

The solution to the systems of linear equations through graphing is simply the coordinates of the intersection point of the two lines.

The coordinates of the intersection line is written like this: (x, y)

Since the point is 0 on the x-axis and 3 on the y-axis, the Solution = (0, 3)

Answer:

31 tests.

Step-by-step explanation:

The rate for the grading is 10.5 every 30 minutes.

Two 45 minute prep periods are 90 minutes.

90 / 30 = 3.

Since three 30 minute periods fit into 90 minutes, we get

3 x 10.5 = 31.5 tests.

Since a teacher did not finish grading the .5 of the test, we don't count it.

Our answer is 31 tests.

Answer:

X= 13

A=104

C=26

Step-by-step explanation:

the equation is 8x+2x+50=180

10x=130

x=13

Answer:

answer 1. 12. 2nd is 2. and 3rd is 14pq

hope it helps

[tex] \sin = \frac{opp}{hyp} [/tex]

[tex] \sin(15) = \frac{280}{hyp} [/tex]

[tex]hyp = \frac{280}{ \sin(15) } [/tex]

[tex]hyp = 1081.836925 \: feet[/tex]

The direct line distance from the eagle to the mouse is 1081.837 feet

Answer:

x=7.48

Step-by-step explanation:

13^2+x^2=15^2

169+x^2=225

x^2=56

x=7.48

Answer:

x =     7.48 (2d.p.)  or 7.5 (1 d.p.)

Step-by-step explanation:

Use Pythagoras' Theorem.

15 x 15 (or 15²) = 225

13 x 13 = 169

√H - A = O

225 - 169 = 56

√56 = 7.48 (2d.p.)  or 7.5 (1 d.p.)

Answer:

rabbit!

Step-by-step explanation:

:-)

Answer:

27p+54

Step-by-step explanation:

Multiply 9 to all the numbers inside the parenthesis!

Hope this helps! :)

Answer:

5.98°

Step-by-step explanation:

Given

with reference angle 50.1°

perpendicular (p) = x

base (b) = 5

Now

tan 50.1° = p / b

1.195 = x / 5

x = 1.195 * 5

x = 5.98

Hope it will help :)

Answer:

When two equations are equivalent it means that the two equations are equal to each other. Hope this helps, thank you !!

Answer:

3

Step-by-step explanation:

when two lines are parallel, they have the same slope

you can find slop by changing the equation to slope intercept form (y=mx+b), m being the slope

slopes:

1. -2

2. -1/2

3. 2

4. 1/2

Answer:

3. y-2x=-8

Step-by-step explanation:

Answer:

32 tablespoons of sugar.

Step-by-step explanation:

Answer:

32 tablespoons of sugar.

Step-by-step explanation:

Answer:

The correct answer is 95 degree........

Answer:variable is 75

Step-by-step explanation:

Answer:

2.82

Step-by-step explanation:

The formula for the circumference of a circle is given as:

π × D

Where D represents the Diameter of the circle.

From the question:

The circumference of a circle is 8.88cm.

The Length of the Diameter is calculated as:

8.88cm = π × D

D = 8.88 cm/π

D = 2.8265917893 cm

Approximately to 2 decimal places = 2.83cm

Therefore, the length of the diameter = 2.83 cm

Answer:

28.27433

Step-by-step explanation:

c = 2π * r

I think before we get to this answer we need to understand how roots of a quadratic equation works.

When a quadratic equation have 2 real roots such as a/b and c/d we can write the quadratic equation in factored form like this y or 0=(bx-a)(dx-c)

In this case we know the 2 roots are 5 and 2/3 and one of the factors is already x-5. so the other one according to the equation above that I wrote have to be 3x-2 and therefore the 3rd choice is correct.

Hope this helped you and if there is any questions about this please let me know in the comments.

Answer:

Step-by-step explanation:

Given the expression

√x = √2 + 1

To get x, we will have to square both sides

(√x)² = (√2 + 1)²

x = (√2 + 1)(√2 + 1)

x = √4+√2+√2+1

x = 2+2√2+1

x = 3+2√2

Hence the value of x is 3+2√2

Answer:

3/4 is your answer

Step-by-step explanation:

Answer:

(7x-y)(7x+y)

Step-by-step explanation:

Answer:

(7x-y)×(7x+y)

Step-by-step explanation:

49x²-y²

7²x²-y²

(7x²)-y²

(7x-y)×(7x+y)

Answer:

47

Step-by-step explanation:

mean is found by dividing the sum of the terms by the number of terms:

(43+48+41+41+x)/5=44

173+x=220

x=220-172=47

Answer:

-3

Step-by-step explanation:

Answer:

B. 1/8 chance

Step-by-step explanation:

Every time you flip a coin you have a 1/2 probability of landing on heads.

If you repeated the process three times in the row

It would be 1/2 x 1/2 x 1/2 = 1/8

The odds they all land on heads is 1/8

Given:

The expression is

[tex]-\dfrac{3}{4}(8y-12)+\dfrac{1}{5}(15y-30)[/tex]

To find:

The expression that is equivalent to the given expression.

Solution:

We have,

[tex]-\dfrac{3}{4}(8y-12)+\dfrac{1}{5}(15y-30)[/tex]

Using distributive property, we get

[tex]=-\dfrac{3}{4}(8y)-\dfrac{3}{4}(-12)+\dfrac{1}{5}(15y)+\dfrac{1}{5}(-30)[/tex]

[tex]=-6y+9+3y-6[/tex]

On combining like terms, we get

[tex]=(-6y+3y)+(9-6)[/tex]

[tex]=-3y+3[/tex]

Therefore, the correct option is B.

Answer:

(-2,4)

Step-by-step explanation:

B(1,2)

(x-3, y+2)

1-3=-2

x=(-2)

2+2=4

y=4

Hope this helps! :)

Answer:

B'(-2, 4)

Step-by-step explanation:

If it goes 3 units left, that means you're doing x - 3.

If it goes 2 units up that means you're doing y + 2 This would be:

(1 - 3, 2 + 2)

(-2, 4)

Given:

In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°.

To find:

The all possible values of ∠X, to the nearest degree.

Solution:

Law of Sines:

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

For ΔWXY,

[tex]\dfrac{w}{\sin W}=\dfrac{x}{\sin X}=\dfrac{y}{\sin Y}[/tex]

Now,

[tex]\dfrac{w}{\sin W}=\dfrac{x}{\sin X}[/tex]

[tex]\dfrac{900}{\sin (157^\circ)}=\dfrac{680}{\sin X}[/tex]

[tex]900\sin X=680\sin (157^\circ)[/tex]

[tex]\sin X=\dfrac{680}{900}\sin (157^\circ)[/tex]

[tex]\sin X=0.295219[/tex]

[tex]X=\sin^{-1}(0.295219)[/tex]

[tex]X=17.17067[/tex]

[tex]X\approx 17[/tex]

Therefore, the value of ∠X is 17 degrees.

Answer:

c = 7.5 meters.​

Step-by-step explanation:

hello :

use phtagore - rule :

c² = 6²+4.5²

c² = 36 + 20.25

c² =56.25

c  = √56.25

c = 7.5 meters.​