Nine less than the product of 21 and a number

Answer:

12981

Step-by-step explanation:

Given that :

Initial number of residents = 12575

Yearly growth rate (r) = 1.6%

Population in 2 years :

Using the relation :

Population in t years P(t) :

P(t) = initial population * (1 + growth rate)^t

t = time

Population in 2 years :

P(2) = 12575 * (1 + 0.016)^2

P(2) = 12575(1.016)^2

= 12575 * 1.032256

= 12980.6192

= 12981

Answer:

2+10x-x^2, the last answer

Step-by-step explanation:

Answer:

8.3 miles

Step-by-step explanation:

In 3 hrs he can walk=5 miles

In an hour he can walk=5/3miles

=1.66 miles

In 5 hours he can walk=1.66*5miles

=8.3 miles

Hope this helps

Answer:

13.6 - 12 = 1.6

Step-by-step explanation:

Answer:

x = 3.464 ft.

Step-by-step explanation:

To find x we use the trigonometric identity Sine.

[tex]sin\ \theta=\frac{perpendicular}{hypotenuse}\\\\sin\ 60=\frac{x}{4} \\\\4*sin60=x\\4*0.866=x\\3.464=x\\x=3.464\ ft[/tex]

Answer:

x = 3.464 ft.

Step-by-step explanation:

Answer:

Zoey is -362 meters from sea level.  She travels another -71 meters (notice the negative because she is now further away from sea level).  She is now -433 meters from sea level.

Step-by-step explanation:

-362 (original elevation) + -71 (distance to new location) = -433 (total elevation)

Answer:

-433

Step-by-step explanation:

Zoey is already 362 below sea level.

Then she descends another 71 meters

So. . .

-362 - 71

This can also be written as -362 + (-71)

-433

Hope this helps :)

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Answer:

[tex]y=-\frac{5}{3}x+20[/tex]

Here, m=-5/3, and b=y-intercept=20

Here, the y-intercept is: 20

Thus, option (d) is true.

Step-by-step explanation:

Given the equation

[tex]y=\frac{3}{5}x+10[/tex]

comparing the equation with the slope-intercept form

[tex]y=mx+b[/tex]

Here,

so the slope of the line is 3/5.

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be: -5/3

Therefore, the point-slope form of the equation of the perpendicular line that goes through (15,-5) is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-\left(-5\right)=\frac{-5}{3}\left(x-15\right)[/tex]

[tex]y+5=\frac{-5}{3}\left(x-15\right)[/tex]

simplifying the equation to convert it into the slope-intercept form

We know that the slope-intercept form of the line equatio is

[tex]y=mx+b[/tex]

here 'm' is the slope and 'b' is the y-intercept

[tex]y+5=\frac{-5}{3}\left(x-15\right)[/tex]

subtract 5 from both sides

[tex]y+5-5=\frac{-5}{3}\left(x-15\right)-5[/tex]

[tex]y=-\frac{5}{3}x+20[/tex]

Here, m=-5/3, and b=y-intercept=20

Here, the y-intercept is: 20

Thus, option (d) is true.

Answer:

780

Step-by-step explanation:

7.8 x 10 is 78. 1.0 x 10 is 10. Multiply both and get 780

Answer:

the first one and last one are true

Step-by-step explanation:

Answer:

[tex]C(w) = 5w + 12[/tex]

[tex]C(w) = 12+5w[/tex]

Step-by-step explanation:

Given information:

- Monthly fee of $12

- $5 fee per workout class

- [tex]w[/tex] represents the workout classes taken for a month

- - - -

With the given information, we can conclude that [tex]C(w)=[/tex] workout fee + monthly fee.

Workout fee = [tex]$5w[/tex]

Monthly fee = [tex]$12[/tex]

∴ [tex]C(w) = 5w + 12[/tex] or [tex]C(w) = 12+5w[/tex] (they are the same)

Hope this helps :)

Answer:

156.25

Step-by-step explanation:

150 ÷ 96%

= 156.25

Answer (Three Different Forms):

Decimal:

156.25

Fraction:

[tex]\frac{625}{4}[/tex]

Mixed Number:

[tex]156\frac{1}{4}[/tex]

Step-by-step explanation:

96% is the same as 0.96, and so this problem can be written algebrically as:

0.96 ⋅ x = 150

Solve for x by dividing both sides of the equation by 0.96 to isolate the variable:

x = [tex]\frac{150}{0.96}[/tex]

Divide/simplify [tex]\frac{150}{0.96}[/tex] to get the following three options (you can choose which one to use):

Decimal:

156.25

Fraction:

[tex]\frac{625}{4}[/tex]

Mixed Number:

[tex]156\frac{1}{4}[/tex]

Hope this helps! :)

Answer: 3x + 15 = 51

x is the number of laps that she swims on Monday, Wednesday, and Friday. Since she swims the same amount, we can multiply x by three. Since Saturday  gives us an explicit answer, we can just add that to the equation.

Hope this helps :)

Answer:

57°

Step-by-step explanation:

LHS angle=RHS angle=57° (vert. opp angles)

9514 1404 393

Answer:

  400

Step-by-step explanation:

If x represents the number of employees a year ago, the current number is ...

  x + 0.33x = 53,200

  x = 53,200/1.33 = 400

The company had 400 employees a year ago.

Answer:

1 in on the map = [tex]\frac{16}{7}\ miles[/tex] on the street

Step-by-step explanation:

Represent the actual distance as y and the map distance as x

So:

x = 3.5in when y = 8 miles

Required

Determine the proportion

The proportion of map measurement to actual measurement is:

[tex]x : y[/tex]

This gives:

[tex]3.5\ in : 8\ miles[/tex]

Divide by 3.5

[tex]\frac{3.5\ in}{3.5} : \frac{8\ miles}{3.5}[/tex]

[tex]1\ in: \frac{8\ miles}{3.5}[/tex]

Simplify the fraction

[tex]1\ in: \frac{8 * 2\ miles}{3.5*2}[/tex]

[tex]1\ in: \frac{16\ miles}{7}[/tex]

[tex]1\ in: \frac{16}{7}\ miles[/tex]

This means that:

1 in on the map = [tex]\frac{16}{7}\ miles[/tex] on the street

Answer:

8000

Step-by-step explanation:

7-7=0

2-2=0

6-6=0

take the 1 out of 14,000 and add that to the 4 as a ten so you get 14 and than subtract 6 to get 8

Answer:

fortnite is garbo

Step-by-step explanation:

Answer:

I believe it is

1) yes

2) no

3) no

4)no

Step-by-step explanation:

It can only be a solution if you put the x in from the table into the x of the equation and the y in from the same ordered pair into the equation for y and if you get 1 for the fist equation it is a solution but you also have to get 7 for the second equation for it to fully be a solution. Also, you can go to desmos and enter the equations and then substitute the x's and y's... you will have to delete the =1 and =7 in order for the website to tell you what it equals.

Answer:  slope: 1/4

y-intercept: 0,3

Step-by-step explanation:

Answer:

31.8

Step-by-step explanation:

Answer:

Enrique spent D. $31.80 on soda.

Answer:

C.) 1 5/b boxes

Number of boxes left over

= 3 - 1/2 - 2/3

Convert each  fraction to one in terms of the LCM:

= 18/6 - 3/6 - 4/6

= 11/6

= 1 5/6 boxes.

The solution is Option B.

The number of boxes of crackers left with Eloise is 1 5/6 boxes of crackers

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of boxes of crackers left with Eloise be = A

Now , the total number of boxes of crackers be = 3 boxes

The number of boxes of crackers ate on Saturday = 1/2

The number of boxes of crackers ate on Sunday = 2/3

So , the equation will be

Number of boxes of crackers left with Eloise A =  total number of boxes of crackers - number of boxes of crackers ate on Saturday - number of boxes of crackers ate on Sunday

Substituting the values in the equation , we get

Number of boxes of crackers left with Eloise A = 3 - 1/2 - 1/3

On simplifying the equation , we get

Number of boxes of crackers left with Eloise A = 5/2 - 2/3

Number of boxes of crackers left with Eloise A = ( 15 - 4 ) / 6

Number of boxes of crackers left with Eloise A = 11/6

Number of boxes of crackers left with Eloise A = 1 5/6 boxes

Therefore , the value of A is 1 5/6 boxes

Hence , the number of boxes left is 1 5/6 boxes of crackers

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer: D.

Step-by-step explanation:

the ratio of 12/4 is the same as 3

Answer:

It's the top answer or A.

Step-by-step explanation:

Because if you have 6 avocados for 7.50 just divide without including the decimal point. 750 divided by 6 is 125

include the decimal point in between 1 and 2

boom 1.25

Answer: first one is  2 second one is not linear the 3rd one is -2 and the 4th one is 4/3

Step-by-step explanation: use the equation y=mx + b u dont have to find anything the slope is already given to you

Answer:

Maybe if you could be a bit clear with what you need help with? are you struggling with plotting the points? are stuck on the equation that was given? and do you understand slope intercept form?

I can help you with the equation since that's not the full equation:

-2y = -x + 10

so you divide the -2 and then also divide it on the other side

-2y = -x + 10

-2         -2

cross out the -2's on the left side but do not cross out the y since you will need that. Then divide the numbers so:

 -1 % -2 is 0.5 but we don't use decimals in our equation so just put

-1/-2x

then do 10 % -2 and you should get -5

so put the equation together:

y = -1/-2x - 5

(Is that all or do you need help with anything else?)

Answer:

118/15 or 7.8666666666666666666666666666666666666666666666666666666666666666... decimal

Step-by-step explanation:

Simplify the following:

(1 + 1/9) (4 + 1/2) + 3 + 1/5 - 1/3

Put 1 + 1/9 over the common denominator 9. 1 + 1/9 = 9/9 + 1/9:

9/9 + 1/9 (4 + 1/2) + 3 + 1/5 - 1/3

9/9 + 1/9 = (9 + 1)/9:

(9 + 1)/9 (4 + 1/2) + 3 + 1/5 - 1/3

9 + 1 = 10:

10/9 (4 + 1/2) + 3 + 1/5 - 1/3

Put 4 + 1/2 over the common denominator 2. 4 + 1/2 = (2×4)/2 + 1/2:

10/9 (2×4)/2 + 1/2 + 3 + 1/5 - 1/3

2×4 = 8:

10/9 (8/2 + 1/2) + 3 + 1/5 - 1/3

8/2 + 1/2 = (8 + 1)/2:

10/9 (8 + 1)/2 + 3 + 1/5 - 1/3

8 + 1 = 9:

10/9×9/2 + 3 + 1/5 - 1/3

10/9×9/2 = (10×9)/(9×2):

(10×9)/(9×2) + 3 + 1/5 - 1/3

(10×9)/(9×2) = 9/9×10/2 = 10/2:

10/2 + 3 + 1/5 - 1/3

The gcd of 10 and 2 is 2, so 10/2 = (2×5)/(2×1) = 2/2×5 = 5:

5 + 3 + 1/5 - 1/3

Put 5 + 3 + 1/5 - 1/3 over the common denominator 15. 5 + 3 + 1/5 - 1/3 = (15×5)/15 + (15×3)/15 + 3/15 - 5/15:

(15×5)/15 + (15×3)/15 + 3/15 - 5/15

15×5 = 75:

75/15 + (15×3)/15 + 3/15 - 5/15

15×3 = 45:

75/15 + 45/15 + 3/15 - 5/15

75/15 + 45/15 + 3/15 - 5/15 = (75 + 45 + 3 - 5)/15:

(75 + 45 + 3 - 5)/15

| 1 |  

| 7 | 5

| 4 | 5

+ | | 3

1 | 2 | 3:

(123 - 5)/15

| | 1 | 13

| 1 | 2 | 3

- | | | 5

| 1 | 1 | 8:

Answer: 118/15

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[tex]1 \frac{1}{9} \times 4 \frac{1}{2} + (3 \frac{1}{5} - \frac{1}{3} ) = \\ [/tex]

[tex] \frac{9 + 1}{9} \times \frac{8 + 1}{2} + ( \frac{15 + 1}{5} - \frac{1}{3} ) = \\ [/tex]

[tex] \frac{10}{9} \times \frac{9}{2} + ( \frac{16 \times 3}{5 \times 3} - \frac{1 \times 5}{3 \times 5} ) = \\ [/tex]

[tex] \frac{9 \times 10}{9 \times 2} + ( \frac{48}{15} - \frac{5}{15} ) = \\ [/tex]

[tex] \frac{10}{2} +( \frac{48 - 5}{15} ) = \\ [/tex]

[tex]5 + ( \frac{43}{15} ) = \\ [/tex]

[tex] \frac{75}{15} + \frac{43}{15} = \frac{118}{15} \\ [/tex]

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