Which of the following models the rising population of a city with 8,000 residents when the annual growth rate is 4%?

Answer:

Tad has 12 dollars and Grace has 24

Step-by-step explanation:

Grace has twice as much, 24 is double 12. So Tad has 12 dollars.

Answer:

top to bottom, the answers are b, c, a

Step-by-step explanation:

One way to find the solution to a system of equations is to substitute values in. For the first one,

y=2x+3

y=2x+5,

we can substitute 2x+3 =y into the second equation to get

y=2x+5

2x+3 = 2x+5

subtract 2x from both sides

3 = 5

As 3 is not equal to 5, this is never equal and therefore has no solution

For the second one,

y= 2x+7

y = (-2/3)x + 10

We can plug y=2x+7 into the second equation to get

2x + 7 = y = (-2/3)x + 10

2x + 7 = (-2/3)x + 10

add (2/3)x to both sides to make all x values on one side

2x + (2/3)x + 7  = 10

subtract 7 from both sides to make only x values on one side and only constants on the other

2x + (2/3)x = 3

(6/3)x + (2/3)x = 3

(8/3)x = 3

multiply both sides by 3 to remove a denominator

8x = 9

divide both sides by 8 to isolate x

x=9/8

There is only one value for when the equations are equal, so this has one solution

For the third one

y = x-5

2y = 2x - 10

Plug x-5 = y into the second equation

2 * y= 2*(x-5)

2 * (x-5) = 2x - 10

2x-10 = 2x-10

add 10 to both sides

2x=2x

As 2x is always equal to 2x, no matter what x is, there are infinitely many solutions for this system

Answer:

No solution

Step-by-step explanation:

A solution for a system of equations entails that all variables are the same. In this case, it means that both x and y must be the same.

Looking at the graph, there is no spot where y=3x+3 and 3x-y=2 intersect

To confirm, we can look at the equations. If we make them both equal to y, we can set them equal to each other.

For y=3x+3, this is already set to y. For 3x-y=2, we can add y to both sides and subtract 2 from both sides to get

3x-2=y

3x+3=y

Since the x and y values must be the same, we can say that

3x-2=3x+3

subtract 3x from both sides

-2 = 3

Since -2 is not equal to 3, we can confirm that there are no solutions to this system of equations

Answer:

57.2

Step-by-step explanation:

This is a right triangle so we can use trig ratios.

We are asked to find a side when we know a angle adjacent to that side. And we are given a side opposite of that angle. We can use Tangent to find the side length.

[tex] \tan(40) = \frac{48}{x} [/tex]

Take the reciprocal of both sides.

[tex] \frac{1}{ \tan( 40) ) } = \frac{x}{ 48} [/tex]

Multiply both sides by 48.

[tex] x = \frac{1}{ \tan(40) } \times 48[/tex]

[tex]x = 57.2[/tex]

Answer:

C

Step-by-step explanation:

[tex] \frac{x}{3} [/tex]

Answer:

[tex]81\frac{2}{3}[/tex] hours

Step-by-step explanation:

Hi there!

1) Create a proportion

[tex]\frac{7h}{120mi}=\frac{x}{1400 mi}[/tex]

[tex]\frac{7}{120}=\frac{x}{1400}[/tex]

2) Solve for x

[tex]\frac{7}{120}=\frac{x}{1400}[/tex]

Multiply both sides by 1400

[tex]\frac{7}{120}*1400=\frac{x}{1400}*1400[/tex]

[tex]\frac{245}{3} =x[/tex]

[tex]\frac{245}{3} =x[/tex]

[tex]81\frac{2}{3} =x[/tex]

Therefore, it would take the van [tex]81\frac{2}{3}[/tex] hours to travel 1400 miles at the same speed.

I hope this helps!

Answer:

1) B, 48

2) C. 180=2x2x3x15

Step-by-step explanation:

Answer:

x²−4x+4 = (x-2)²

x²−4x+4 = 1

(x-2)² = 1

x-2 = ±√1

x = 1+2 or =-1+2

  = 3  or = 1

Step-by-step explanation:

hey can I have this question in English write can totally ask your question I don't think that I am doing this for purposes please ask this question and English so I can ask this question please ask this question in English if you I am from India so I don't know this all languages Thank you

Answer: (3b+2)(b+2)

Step-by-step explanation:

Answer

6372 - power 4

Step-by-step explanation:

Answer:

Answer of this qn is 96cm^2

Answer:

The answer is "[tex]\frac{1}{2}[/tex]".

Step-by-step explanation:

Given points:

[tex](-2,3)\\\\(2,5)\\\\[/tex]

average rate=?

[tex]x_1=-2\\\\y_1=3\\\\x_2=2\\\\y_2=5[/tex]

[tex]average\ rate=\frac{y_2-y_1}{x_2-x_1}[/tex]

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

Answer: x=2

Step-by-step explanation:

[tex]2x(9x-4)-3x(6x-7)=26\\18x-8x-18x+21x=26\\10x-18x+21x=26\\-8x+21x=26\\13x=26\\x=2[/tex]

To find the missing value divide both sides by -7:

28/-7 = 4

The missing value is 4

Answer= -4

Step-by-step explanation:

negative × negative = positve. therefore if 7×4=28 , then -7×-4=28

Answer:

2m² + 14m + 2

Step-by-step explanation:

3A + B

= 3(2m + 1) + 2m² - 1 + 8m ← distribute parenthesis by 3

= 6m + 3 + 2m² - 1 + 8m ← collect like terms

= 2m² + 14m + 2 ← in standard form

Answer:

...=

Step-by-step explanation:

First step to these problems will be to move the -11 to the side with the 107_

That will give us 35x=107_ +11.

Next, we know 35=5 times 7, and be now can say that 107_+11 will be a multipe of 5 and 7 at the same time. If it's a multiple of 5, then it has to end in a five or zero, so the blank can be four or nine. If it has to be a multiple of seven, too, than the only 1070 because that is divisible by 7, whereas 1075 is not.

I hoped you liked this answer. If you have any more questions, you can always ask me!

It should be noted that in the equation 35x - 11 = 107, x will be 3.371.

To solve the equation 35x - 11 = 107, we can follow these steps:

Add 11 to both sides of the equation to isolate the term with the variable:

35x - 11 + 11 = 107 + 11

This simplifies to:

35x = 118

Divide both sides of the equation by 35 to solve for x:

(35x) / 35 = 118 / 35

This simplifies to:

x = 118 / 35

The result, in decimal form, is approximately:

x ≈ 3.37

Learn more about equation

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QUESTION:- DETERMINE THE X-INTERCEPT AND THE Y-INTERCEPT FOR THE GRAPH OF THE EQUATION.

EQUATION:- 2x - 3y + 36 = 0

STANDARD EQUATION:- y=mx+c

where

SO GIVEN EQUATION:- 2x - 3y + 36 = 0

WE CAN SOLVE THIS TO CHANGE IN FORMAT OF STANDARD EQUATION

[tex]2x - 3y + 36 = 0 \\ 2x + 36 =3y \\ y = \frac{2}{3} x + \frac{36}{3} \\ y = \frac{2}{3} x + \frac{ \cancel{36}^{ \: \: 12} }{ \cancel3} \\ y = \frac{2}{3} x + 12 \\ [/tex]

SO :-

[tex]m = \frac{2}{3} \\ y - intercept = 12 \: ans[/tex]

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ \frac{2}{3} = \frac{0 - 12}{x - 0} \\ 2x = ( - 12) \times 3 \\ x = \frac{ - \cancel{12}^{ \: \: 6} \times 3 }{ \cancel{2}} \\ x = - 18 \: \: ans[/tex]

Answer: 20 boxes

Step-by-step explanation:

First and foremost, we need to know that 1 foot = 12 inches. Therefore, 1500 feet will be converted to inches and this will be:

1500 feet = 1500 × 12 = 18000 inches

Since each group of box requires 900 inches, then the number of group of boxes that can be used in this case will be:

= 18000/900.

= 20 groups of boxes

Answer:

The GCF of the coefficients is correct.

The variable c is not common to all terms, so a power of c should not have been factored out.

In step 6, David applied the distributive property.

Step-by-step explanation:

Given the polynomial :

80b⁴ – 32b²c³ + 48b⁴c

The Greatest Common Factor (GCF) of the coefficients:

80, 32, 48

Factors of :

80 : 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80

32 : 1, 2, 4, 8, 16, and 32

48 : 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

GCF = 16

b⁴, b², b⁴

b⁴ = b * b * b * b

b² = b * b

b⁴ = b * b * b * b

GCF = b*b = b²

GCF of c³ and c

c³ = c * c * c

c = c

GCF = c

We can see that David's GCF of the coefficients are all correct

From the polynomial ; 80b⁴ does not contain c ; so factoring out c is incorrect

In step 6 ; the distributive property was used to obtain ; 16b²c(5b² – 2c² + 3b²)

Answer:

Step-by-step explanation:

I can't get the exact answer you've given, but I can tell you some things about it. The largest number in the denominator is 30 or 31. That's because 31 * 3 is 93 exactly. However the fraction is a problem and will likely push you over 100.

3.675 * 31 = 113 something. So 31 is too big.

The closes I came was 98 / 26 which is 3.769

Answer:

A.

Step-by-step explanation:

42,000 units

1.) 10+2√21

2.) 8-2√15

3.) 38+2√10

solution to all the answers:

NUMBER 1:

=> use (a + b)^2 + 2ab + b^2 to expand the expression (√3 +√7)^2, then it should look like this: 3 + 2√21 + 7.

=> add the numbers: 10 + 2√21.

NUMBER 2:

=> use (a + b)^2 + 2ab + b^2 to expand the expression (√5 -√3)^2, then it should look like this: 5 - 2√15 + 3.

=> add the numbers: 8 - 2√15.

NUMBER 3:

=> use (a + b)^2 + 2ab + b^2 to expand the expression (2√5 + 3√2)^2, then it should look like this: 20 + 12√10 + 18.

=> add the numbers: 38 + 12√10.

I HOPE THIS HELPED!!

Answer:

Step-by-step explanation:

Let

x = cost per mile

y = Total cost

Plan 1:

y = 59 + 0.15x

Plan 2:

y = 50 + 0.20x

Equate the total cost of the two plans

59 + 0.15x = 50 + 0.20x

59 - 50 = 0.20x - 0.15x

9 = 0.05x

x = 9/0.05

= 180

x = 180 miles

y = 50 + 0.20x

= 50 + 0.20(180)

= 50 + 36

= 86

y = 86

Answer:

D.

Step-by-step explanation:

The line will be a straight line and will go through AB in the center. Therefore, it will be the perpendicular bisector.

Answer:

Step-by-step explanation:

You need to know all the angle properties. Hope this helps

Answered by G a u t h m a t h

Answer:

1.5 yrs

Step-by-step explanation:

let the present age=x

x+5=2+3x

3x-x=5-2

2x=3

x=3/2=1.5 years

Answer:

3x + 2 = x + 5.

Step-by-step explanation:

Peter is currently x years old. In 5 years, his age will be x + 5. According to the prompt, Peter's age will be 2 + 3 times his current age, x, which can be represented as 2 + 3x. 2 + 3x is the same age as x + 5, so we can represent it as...

2 + 3x = x + 5

3x - x = 5 - 2

2x = 3

x = 1.5

This means that Peter is 1.5 years old.

Hope this helps!

Answer:

10% of 55

=> 10/100 × 55

=> 1/10×55

=> 5.5

55 increased by 10% => 55 + 5.5

=> 60.5

hope that helps ✌

Answer:

Step-by-step explanation:

10% of 55

10/100*55

1/10*55

5.5 <--- That is 10% of 55

55+5.5 = 60.5

Answer:

[tex]\frac{x+4}{4x-4}[/tex]

Step-by-step explanation:

Answer:

240 cubic cm

Step-by-step explanation:

Volume of a cone = 1/3(nr^2h)

volume of a cylinder = nr^2h

n = 22/7

r = radius

The volume of a cone is 1/3 that of a cylinder

to determine the volume of the cylinder with the same parameters as a cylinder, multiply the volume of the cone by 3

80 x 3 = 240 cubic cm