The sum of two numbers is 10. The larger number is 4 times the smaller number. What are the two numbers? Let x = the smaller number. Lety = the larger number. Which two equations represent the system for this word problem? Equation 1: Equation 2: ​

9514 1404 393

Answer:

  the n-th root of the ratio of ending to starting values, less 1

Step-by-step explanation:

When I have starting and ending values over a time period, I usually use those directly in the exponential equation. If you're asked for a percentage growth rate, then you have to convert the growth factor to a growth rate.

__

The exponential equation can be written ...

  f(t) = (initial value) × ((final value)/(initial value))^(t/(time period))

In your example case, this would be ...

  f(t) = 2 × (20/2)^(t/18)

  f(t) = 2(10^(t/18)) . . . . . . simplified

__

To convert this to the form ...

  f(t) = 2(1 +(growth rate))^t

recognize that ...

  (1 +(growth rate)^t = (10^(1/18))^t

So, you need to find the value of ...

  10^(1/18) = 10^(1/18) ≈ 1.13646 = 1 + 13.646%

Then the growth rate is about 13.6% each week.

__

Sometimes, you want to use this in the form ...

  f(t) = (initial value)×(1 + (growth rate))^t

and sometimes you want the form ...

  f(t) = (initial value)×e^(kt)

When you solve for k, you find it is ...

  k = ln(1 + (growth rate)) . . . . . . . . where ln(x) is the natural logarithm of x

Here, that is ...

  k = ln(10^(1/18)) = ln(10)/18 ≈ 0.12792

__

Your final growth equation could be any of ...

  f(t) = 2(10^(t/18)) . . . . . . . my personal favorite, as no rounding is involved

  f(t) = 2(1.13646^t)

  f(t) = 2e^(0.12792t)

Answer:

100!!

Step-by-step explanation:

Hope this helps

Answer:

100

Step-by-step explanation:

5 x 12 = 60 +10 + 10 +10 +10

60 +40= 100

Answer:

24

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

When x is at 6 y is at 0

Answer:

3/64

Step-by-step explanation:

The distance from C to G is 32 units and this can be determined by using the properties of the circumcenter of a triangle.

Given :

AG = 4x + 16

BG = 10x - 8

The following steps can be used in order to determine the distance from C to G:

Step 1 - Remember in the given diagram G is the circumcenter because all the perpendicular bisector intersects at point G.

Step 2 - Now, if G is the circumcenter then:

AG = BG = CG

Step 3 - Now, substitute the value of AG and BG in the above expression.

4x + 16 = 10x - 8

24 = 6x

x = 4

Step 4 - Now, use the relation BG = CG in order to determine the value of CG.

10(4) - 8 = CG

CG = 32

For more information, refer to the link given below:

https://brainly.com/question/22051318

Answer:

It is a two step equation

Step-by-step explanation:

First you have to solve the first part then solve the second part :)

Answer:

n ≥ − 5

Step-by-step explanation:

Move all terms containing  

n  to the left side of the inequality.

n + 2 ≥ − 3

Move all terms not containing  

n  to the right side of the inequality.

n ≥ − 5

The result can be shown in multiple forms.

Inequality Form: n ≥ − 5

interval Notation:  [ − 5 , ∞ )

Answer:

55.44 i believe

Step-by-step explanation:

Answer:

[tex]2[/tex]

Step-by-step explanation:

[tex]4y=8x+3[/tex]

To identify the slope of the line, the equation must be in the format [tex]y=mx+b[/tex], in which [tex]m[/tex] is representative of slope.

Begin by dividing both sides of the equation by the coefficient of [tex]y[/tex], which is [tex]4[/tex]:

[tex]y=2x+\frac{3}{4}[/tex]

[tex]m=2[/tex]

Therefore, the slope of the line is 2.

-

You can check your work by graphing, and identifying the "rise over run", of the graph. This can be done by counting the distance from one point your graph to another.

Answer:

x=2 y=-1

Step-by-step explanation:

I cant really explain this but this is the answer if u are unsure pls comment in the box thank you

Answer:

y = 1/3x - 1

Step-by-step explanation:

We can put this information in slope intercept form [ y = mx + b ], where m = slope and b = y-intercept. We are given both the slope and y-intercept so m = 1/3 and b = -1. Put this into the formula; y = 1/3x - 1

Best of Luck!

Answer:100 packs of gum

We take the gum that she have is X

we have the equation X x 1.25+ (150-X) x 1.5=200

=> x =100

Answer: ksbddbcxkdbdijc

Step-by-step explanation:

Answer:

This question does not make sense. Is their an image that needs to be included?

Step-by-step explanation:

Answer:

Angle EAT is acute

Step-by-step explanation:

The expression 22x + 19 is the simplified form of the given expression which is determined by the distributive property of multiplication.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The expression is given below as:

3(5x + 7) + 7x - 2

Apply the distributive property of multiplication,

3 × 5x + 3 × 7 + 7x - 2

15x + 21 + 7x - 2

Combine the likewise terms in the above expression,

22x + 19

Thus, the simplified expression is:

22x + 19

Learn more about Expressions here:

brainly.com/question/21751419

#SPJ2

Answer:

H

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x + 2y = 19 ( subtract 3x from both sides )

2y = - 3x + 19 ( divide all terms by 2 )

y = - [tex]\frac{3}{2}[/tex] x + [tex]\frac{19}{2}[/tex] ← in slope- intercept form

with slope m = - [tex]\frac{3}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{3}{2} }[/tex] = [tex]\frac{2}{3}[/tex] → H

Answer:

B) y<3/2x+2

Step-by-step explanation:

cause y is less than the slope of 3/2 threw the point of 2 on the y axis

also < and > meansd its a dotted line

Answer:

A is $490 and B is 3990

Step-by-step explanation:

The way I solved this is with my last brain cells, you welcome.

Answer:

To find the ratio you have to.....

Step-by-step explanation:

That was smooth. Thank you, have a nice day and happy holidays.

Answer:

ty

Step-by-step explanation:

Answer:

The remaining credit after 45 minutes of calls is $18.70

Step-by-step explanation:

Here, we have a linear model to work with

Let us have the coordinates as follows;

(time calling time, credit remaining)

So we have two points as follows;

(24,21.64) and (35,20.10)

The slope will be;

(20.1-21.64)/(35-24) = -1.54/11 = -0.14

So the equation looks like;

y = -0.14x + c

To get the y-intercept, we simply substitute a point

Let us use (35,20.10)

20.10 = -0.14(35) + c

c = 20.10 + 4.9

c = 25

So the full equation is;

y = -0.14x + 25

So for 45 minutes, simply substitute 45 for x

We have this as:

y = -0.14(45) + 25

y = -6.3 + 25 = $18.70

Answer:

i cant make a diagram but here i go.

Step-by-step explanation:

250-135=115

250-150=100

100+115=215

250-215=35

So your answer is that 45 people like both, 115like modern, 100 like folk song, and 35 like both.

Answer:

24.56

Step-by-step explanation:

Answer:

16 might be correct but don't quote me on this...

Step-by-step explanation:

104-88=16

let me know if this is correct, Thanks! :-)

Answer:

C

Step-by-step explanation:

We can use the Pythagorean theorem [ a² + b² = c² ] to solve for the missing side length.

88² + b² = 104²

7744 + b² = 10816

b² = 3072

√b = √3072

b ≈ 55.43

Best of Luck!

Answer:

14oz soup/ person

Step-by-step explanation:

the answer would be 14oz of soup/person

multiply 7 (cans of soup) by 16 (oz per can)

7*16=112

divide 112 (oz of soup total) by 8 (number of people feeding)

112/8=14

Answer:

13

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

its correct

Answer: 40%

Step-by-step explanation: 6/15= 0.40

Answer:

Nearest $1: $34

Nearest $5: $35

Nearest $10: $30

Answer:

rounded to the nearest one is $40

Step-by-step explanation:

Answer:

The probability that she takes out a red marble the first time and a green marble the second

P(E₁ ∩ E₂ ) = P(E₁) P(E₂)

                [tex]= \frac{5 X 5}{20} = \frac{25}{20} = \frac{5}{4} ways[/tex]

Step-by-step explanation:

Step(i):-

Given a bag of marbles contains 5 red marbles, 5 green marbles, 5 yellow marbles and 5 blue marbles

Total balls n(S) = 5red +5green +5yellow + 5blue  =  20

Total numbers cases

                         n(S) = 20C₁ = 20 ways

Step(ii):-

Let E₁ be the event of drawing one red marble from 5 red balls

                       n(E₁) = 5C₁

Let E₂ be the event of drawing one green marble from 5 green balls

                       n(E₂) = 5C₁

The two events are independent events

P(E₁ ∩ E₂ ) = P(E₁) P(E₂)

                =[tex]= \frac{5 X 5}{20} = \frac{25}{20} = \frac{5}{4} ways[/tex]

Final answer:-

 The probability that she takes out a red marble the first time and a green marble the second

P(E₁ ∩ E₂ ) = P(E₁) P(E₂)

                =[tex]= \frac{5 X 5}{20} = \frac{25}{20} = \frac{5}{4} ways[/tex]

Answer:

B) 1/3

Step-by-step explanation:

Add up all the marbles

5 + 6 + 3 + 4 = 18 marbles

Make a fraction of the red marbles out of all the marbles

6/18

Simplify the fraction

1/3

Answer:

b

Step-by-step explanation:

chances of drawing a red is 6/18

6/18=1/3, so its B