In 1925, the population of a city was 90,000. Its
population increases by 2.1% per year. What will the population be in 2020?

Answer:

x = 4 / 3, y = 7 / 3

Step-by-step explanation:

We are given the following system of equations;

{ 7x - y = 7,      ⇒        Let us multiply the first equation by 2,

x + 2y = 6 }

2 * ( 7x - y = 7 )  ⇒  14x - 2y = 14  ⇒  Now add the two equations

+ x + 2y = 6           + x  + 2y = 6                          

14x + x = 14 + 6 ⇒ Simplify

15x = 20,

x = 4 / 3 ⇒ Now substitute this value of x into the first equation to solve for the value of y,

7 * ( 4 / 3 ) - y = 7 ⇒ Simplify,

28 / 3 - y = 7,

y = 7 / 3

Solution; x = 4 / 3, y = 7 / 3

We have been given that the distance from Pensacola, Florida to Tallahassee, Florida on a map is 8 inches, which represents 200 miles. We are asked to find the actual distance from Pensacola to Miami if the distance on the map measures 27 inches.

We will use proportions to solve our given problem as proportion states that ratio between two proportional quantities is similar.

[tex]\frac{\text{Actual distance}}{\text{Map distance}}=\frac{200\text{ miles}}{\text{8 inches}}[/tex]

[tex]\frac{\text{Actual distance}}{\text{27 inches}}=\frac{200\text{ miles}}{\text{8 inches}}[/tex]

[tex]\frac{\text{Actual distance}}{\text{27 inches}}\times \text{27 inches}=\frac{200\text{ miles}}{\text{8 inches}}\times \text{27 inches}[/tex]

[tex]\text{Actual distance}=\frac{25\text{ miles}}{1}\times 27[/tex]

[tex]\text{Actual distance}=675\text{ miles}[/tex]

Therefore, the actual distance from Pensacola to Miami is 675 miles.

Answer:

Quickly learn how to find the Area of Composite Figures in today's geometry lesson. With 19 worked examples, you'll have everything you need ...

Step-by-step explanation:

Answer:

Im guessing this i might be wrong

54 ounces

3 ounces

Step-by-step explanation:

Answer:

To be honest i think 54 ounces and 3 ounces

Step-by-step explanation:

i was going to say 54 and 84 but i said to myself that didn't make any sense if it is 84 let me know plz

Answer:

11/12

Step-by-step explanation:

1

3

(

11

4

)

=(

1

3

)(

11

4

)

=

(1)(11)

(3)(4)

=

11

12

(Decimal: 0.916667)

PLease mark me brainllest!!!

The given equation in fraction should be [tex]\frac{5}{12}[/tex]

Since two fractions are given i.e. [tex]\frac{1}{3}[/tex] and [tex]1 \frac{1}{4}[/tex]

We have to multiply these two in fractions

So,

[tex]= \frac{1}{3} \times 1\frac{1}{4}\\\\ = = \frac{1}{3} \times \frac{5}{4} \\\\= \frac{5}{12}[/tex]

Therefore, we can concluded that The given equation in fraction should be [tex]\frac{5}{12}[/tex]

Learn more about fraction here: https://brainly.com/question/17748421

Answer:

fractions

Step-by-step explanation:

Answer:

A number or ratio expressed as a fraction of 100

Step-by-step explanation:

Use outside of percentages but reused under 100 when explained.

Steepness of a hill or gradient of a line =   rise/run x 100

On a graph the numbers go from 0 for flat, to 100% at 45 degrees, to infinity as it approaches vertical.

Percentage is Tangent of a circle as where it meets it angle it always is intercepted by the circumference or new angle and becomes less than 180 as it forms a leg of a shape, or a side and 1% represents 100 x 0.01000033334% in Radians as another example. we multiply by 100 and get 1 Rad or a 180 degree line.  Broadness of usefulness in percentage is the ratio so 1% of a radian can be the decimal above, and 100% of 1 rad = 180/pi =57.2957 We find a semi-circle has an arc length of pi*r and also that it is 180 degrees. From that you can conclude that the number of degrees in a radian is 180/pi and shows 50% of the circle but 100% of 1 radian.

Answer:

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.

Answer:

as the other guy said, scientific notation in simple words is expressing large quantities in terms of being multiplied with powers of 10

hence,

11. 7.5 x 10^6

12. 2.9 x 10^5

13. 3.7 x 10^(-4)

14. 1.26 x 10^4

15. 2 x 10^(-7)

16. 4 x 10^(-3)

17.6 x 10^7

18. 4.07 x 10^7

19. 8.1 x 10^(-4)

20. 1.25 x 10^(4)

Answer:

21.24°

Step-by-step explanation:

I hope it helps :)

Answer:

it’s 76 ft squared

Step-by-step explanation:

happy to help:)

Answer:

the factors of 63 are:

1,3,7, 9, 21, 63

D. 3, 7, 9, 21, 63

Step-by-step explanation:

Answer:

4x^2 -16

Step-by-step explanation:

(2x + 4)(2x - 4)

FOIL

first:2x*2x = 4x^2

outer: -4 *2x = -8x

inner:  4*2x = 8x

last: -4*4 = -16

Add them together

4x^2 -8x+8x =-16

4x^2 -16

The multiplication of the expression (2x + 4)(2x - 4) is 4x² - 16.

Given the expression in the question:
(2x + 4)(2x - 4)

We can multiply the expression (2x + 4)(2x - 4) using the distributive property and the FOIL method.

(2x + 4)(2x - 4)

Apply the FOIL method:

2x( 2x - 4 ) + 4( 2x - 4 )

Apply distributive property:

2x × 2x + 2x × - 4 + 4 × 2x 4 × - 4

Multiply the terms:

4x² - 8x + 8x - 16

Collect and add like terms:

4x² - 16

Therefore, the simplified form is 4x² - 16.

Learn more about the FOIL method here: https://brainly.com/question/27980306

#SPJ6

Answer:

43.01m^2

Step-by-step explanation:

[tex]A=\frac{1}{4} \sqrt{5(5+2\sqrt{5}) } a^2\\[/tex]

This is the formula for a pentagon

Answer:52.2in

Step-by-step explanation:

Did it on a test and got it correct

Answer:

11,000 gallons

Step-by-step explanation:

Jeffs water bill = 28.50

Charge for water used = 28.50 - 12 = 16.50

Therefore number of gallons used = 16.50/1.50 x 1000 = 11,000 gallons

Answer:

37.5%

Step-by-step explanation:

Red is 3/8 so you convert that into a percentage.

Answer:

43 paperback books

Step-by-step explanation:

7.50(15) + 1.25x = 166.25

112.50 + 1.25x = 166.25

Subtract 112.50 from both sides

(112.50 - 112.50) + 1.25x = (166.25 - 112.50)

1.25x = 53.75

Divide 1.25 from both sides

x = 43

Answer:

can you show the planets. or do you want real planets volumes?

Answer:Yes

Step-by-step explanation:

Answer:

52.6

Step-by-step explanation:

If you drew the triangle correctly, NO would be the hypotenuse (39), PO would be a leg of the triangle(31) and the other leg NP is unknown (we dont need to care about that too much).  To find angle N, we can use trig.  We can use sin to figure this out since we are given a side opposite to angle N and we are given the hypotenuse.  (sin=opposite/hypotenuse).  However, since we are trying to figure out the angle, we have to use arc sin or [tex]sin^{-1}[/tex] on the calculator.  So if we type [tex]sin^{-1}[/tex](31/39), we get 52.6

I can explain more if you dont understand

Answer:

23

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

They are congruent by ASA because the problem already tells you one side is equal, and also says that the opposite sides are parallel. Therfore, teh opposite interior angles are equal and you can take the vertical angles, leading to ASA.

Answer:

ASA

Step-by-step explanation:

They are congruent by ASA because the problem already tells you one side is equal, and also says that the opposite sides are parallel. Therfore, teh opposite interior angles are equal and you can take the vertical angles, leading to ASA.

Hope this is helpful!

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of sector = angle/360 * pi * r^2

r is 19m

37/360 * 22/7 * 19 * 19

Area = 116.61 m^2

Answer:

18

Step-by-step explanation:

6500= 200+ 350x

x=18

Answer:

id say eighteen

Step-by-step explanation:

Answer: this is the right answer Both functions must be linear functions. And The y-intercept for one function must be positive, while the y-intercept for the other function must be negative.

Step-by-step explanation:

The true statements about the functions f(x) and g(x) are (a), (c) and (d)

The functions are given as:

h(x) = x + 1

j(x) = 3x - 6

From the question, we have:

h(x) = f(x) + g(x)

j(x) = f(x) * g(x)

Expand the function j(x)

j(x) = f(x) * g(x) = 3 * (x - 2)

By comparison, we have:

f(x) = 3

g(x) = x - 2

f(x) + g(x) = 3 + x - 2

f(x) + g(x) = x + 1

This gives

h(x) = x + 1

By analyzing the functions f(x) = 3 and g(x) = x - 2, we can see that:

Hence, the true statements are (a), (c) and (d)

Read more about linear functions at:

https://brainly.com/question/4025726

Answer:

f(x) will be 11

Step-by-step explanation:

since the first 1 is (0,5) the (0,8) so +3 so next would be 11

Answer:

5(8/5)^x

Step-by-step explanation:

Answer:

2 6 10

Step-by-step explanation:

Answer:

x=65

Step-by-step explanation:

145 and 2x+15 are vertical angles meaning that they are congruent to each other. Subtract 15 from both sides, and divide by 2 giving x=65.

Hope this helps!

Step-by-step explanation:

Step 1:  Solve using the first point

(2, 28)

[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]

[tex]28 = 8a + 4b + 2c + d[/tex]

Step 2:  Solve using the second point

(-1, -5)

[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]

[tex]-5 = -a + b - c + d[/tex]

Step 3:  Solve using the third point

(4, 220)

[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]

[tex]220 = 64a + 16b + 4c + d[/tex]

Step 4:  Solve using the fourth point

(-2, -20)

[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]

[tex]-20 = -8a + 4b - 2c + d[/tex]

Step 5:  Combine the first and fourth equations

[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]

[tex]8 = 8b + 2d[/tex]

[tex]8 - 8b = 8b - 8b + 2d[/tex]

[tex](8 -8b)/2 = 2d/2[/tex]

[tex]4 - 4b = d[/tex]

Step 6:  Solve for c in the second equation

[tex]-5 + 5 = -a + b - c + d + 5[/tex]

[tex]0 + c = -a + b - c + c + d + 5[/tex]

[tex]c = -a + b + d + 5[/tex]

Step 7:  Substitute d with the stuff we got in step 5

[tex]c = -a + b + (4 - 4b) + 5[/tex]

[tex]c = -a + b + 4 - 4b + 5[/tex]

[tex]c = -a - 3b + 9[/tex]

Step 8:  Substitute d and c into the first equation

[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]

[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]

[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]

[tex]6 / 6 = (6a - 6b) / 6[/tex]

[tex]1 + b = a - b + b[/tex]

[tex]1 + b = a[/tex]

Step 9:  Substitute a, b, and c into the third equation

[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]

[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]

[tex]220 - 100 = 60b + 100 - 100[/tex]

[tex]120 / 60 = 60b / 60[/tex]

[tex]2 = b[/tex]

Step 10:  Find a using b = 2

[tex]a = b + 1[/tex]

[tex]a = (2) + 1[/tex]

[tex]a = 3[/tex]

Step 11:  Find c using a = 3 and b = 2

[tex]c = -a - 3b + 9[/tex]

[tex]c = -(3) - 3(2) + 9[/tex]

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

[tex]c = 0[/tex]

Step 12:  Find d using b = 2

[tex]d = 4 - 4b[/tex]

[tex]d = 4 - 4(2)[/tex]

[tex]d = 4 - 8[/tex]

[tex]d = -4[/tex]

Answer:  [tex]a = 3, b = 2, c = 0,d = -4[/tex]