Stella initially put $5 into a piggy bank. Over the next few years she continued to put all of her coins in the piggy bank, such that each year the amount of money in the piggy bank doubled. Determine the equation that represents this situation and use it to decide which of the following graphs represents the amount of money, A(x), in Stella's piggy bank after x years.

Answer:Sample Response: The points are on a horizontal line, parallel to the x-axis. The absolute value of −3 represents the distance from (−3, −5) to the y-axis, and the absolute value of 9 represents the distance from the y-axis to (9, −5).

Step-by-step explanation:

|-3| + |9| represents the distance between the points (-3,-5) and (9,-5) because the two points form a horizontal line

The line passes through the points (-3,-5) and (9,-5)

That is, [tex]x_1=-3, y_1=-5, x_2=9, y_2=-5[/tex]

Since [tex]y_1=y_2=-5[/tex], the line is a horizontal line

For a horizontal line passing though the points [tex](x_1, y_1)[/tex] and [tex](x_2, y_1)[/tex], the distance(D) between the two points is given as:

[tex]D=|x_1|+|x_2|\\\\ D=|-3|+|9|[/tex]

Therefore, |-3| + |9| represents the distance between the points (-3,-5) and (9,-5) because the two points form a horizontal line

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Answer:

(-10, 0) and (0,-5)

Step-by-step explanation:

For the function [tex]f(x)=-\dfrac{1}{2}x-5,[/tex] find x-intercept and y-intercept:

1. when y=0, then

[tex]0=-\dfrac{1}{2}x-5,\\ \\\dfrac{1}{2}x=-5,\\ \\x=-10;[/tex]

2. when x=0, then

[tex]y=-\dfrac{1}{2}\cdot 0-5,\\ \\y=-5.[/tex]

You get two points (-10, 0) and (0,-5). Plot them on the coordinate plane and connect, obtained line is the graph of the linear function [tex]f(x)=-\dfrac{1}{2}x-5.[/tex]

Answer:

i would say the last choice

The disadvantage of using cash as a payment method is the requirement to hand deliver all payments. This method is less convenient and secure compared to electronic payments, highlighting the shift towards a cashless society.

The question asked is, "Which is a disadvantage of using cash as a payment method?" The correct answer to this question is that one must hand deliver all payments when using cash. This is a significant disadvantage compared to electronic forms of payment. In our increasingly digital world, methods like credit cards, online banking, and mobile payment platforms like Apple Pay introduced in 2014 offer the convenience of making payments from virtually anywhere without the need to physically handle currency.

This shift towards a cashless society highlights the limitations of cash transactions, especially in terms of convenience and security. Moreover, in scenarios such as paying bills, shopping for large purchases, or conducting business transactions, the logistical challenges of using cash become even more apparent. Electronic payments, on the other hand, allow for easier transaction tracking and less physical risk, making them more appealing for both consumers and businesses.

Answer: 5,409

Step-by-step explanation: Five thousand blocks is equivalent to 5,000. Four hundred blocks is equivalent to 400. Nine ones is equivalent to 9. In standard form, this number is five thousand four hundred and nine (5,409).

Answer:

x=8

Step-by-step explanation:

15+x = 23

Subtract 15 from each side

15-15 +x = 23-15

x = 8

Answer:

30, 40, 50 which is choice C

Step-by-step explanation:

Square the smaller two values (30 and 40)

30^2 = 900

40^2 = 1600

then add those results

900+1600 = 2500

Notice how 50^2 = 2500 as well. This shows us that 30^2 + 40^2 = 50^2 is a true equation. Both sides lead to the same result 2500. Therefore, a triangle with sides 30, 40, 50 is a right triangle. This is based on the 3-4-5 pythagorean triple, just each side has been multiplied by 10.

The set that represents a Pythagorean triple is 30, 40, 50. Hence, the correct option is C.

Pythagorean triples are sets of three numbers that satisfy the Pythagorean theorem, a² + b² = c², where a, b, and c are the lengths of the sides of a right triangle. To determine which set represents a Pythagorean triple, we need to check if the set's numbers satisfy this theorem.

Looking at the options:

A) 1, 2, 3 does not form a Pythagorean triple.

B) 9, 12, 16 does not form a Pythagorean triple.

C) 30, 40, 50 does form a Pythagorean triple because 30² + 40² = 900 + 1600 = 2500 = 50².

D) 38, 44, 49 does not form a Pythagorean triple.

Therefore, the set that represents a Pythagorean triple is C) 30, 40, 50.

Answer:

8 guest rode in each suburban .

Step-by-step explanation:

As given

victoria invited 260 people to her quinceanera party.

76 guest rode in corvettes and the rest rode in 23 suburbans.

As 76 guest rode in corvettes .

Thus

Number of guest rode in  suburbans = 260 - 76

                                                             = 184 peoples

Let us assume that the number of guest rode in each suburban be x.

Total suburbans are 23.

Than the equation becomes

x × 23 = 184

[tex]x = \frac{184}{23}[/tex]

x = 8

Therefore 8 guest rode in each suburban .

Answer:

a² + 2ah + 3a + 3h + 5 + h²

Step-by-step explanation:

to evaluate f(a + h) substitute x = a + h into f(x)

f(a + h)

= (a + h)² + 3(a + h) + 5 ← distribute

= a² + 2ah + h² + 3a + 3h + 5

Answer:405 meters apart. I think the m means meters, if it meant miles that would be incredible :)

Step-by-step explanation: 2.3 times 1.5 minutes is 90 seconds, so 2.3 times 90=207. 2.2 times 90 =198. 207+198=405

Answer:

24.

Step-by-step explanation:

So you need to fine 30% of 80.

I did the following method:

-Break it down, and do, 80 -/- 10 which is 8, now you have 10%, and you need to find 30, times your 10% by 3, so 24.

-Therefore, 24 out of 80 rides at the amusement park are water-related.

Hope this helps!

--Emilie Xx

By using the percentage given, we can calculate that there are 24 water-related rides at the amusement park out of the total 80 rides.

The question is asking how many of the total rides at the amusement park are water-related. This is a problem related to percentage. We know that 30% of the park's 80 rides are water-related. To find out the exact number, we multiply the total number of rides (80) by the percentage of water rides (30%), but since percentage is in terms of 100, we first convert the 30% to a decimal by dividing it by 100. This gives us 0.30. We then multiply 80 (the total number of rides) by 0.30.

Here's the calculation: 80 rides * 0.30 = 24 rides.

So, there are 24 water-related rides at the amusement park.

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Answer:

3 hours

Step-by-step explanation:

$50-$18=$32

$32/$10.50=3.04761904762--->3 hours

1. 800 divided by 4 equals 200.

2. 4 divided by 800 equals 0.005.

3. 440 divided by 24 equals 18 remainder 2, which can also be written as 18.2 as a decimal.

Each division problem is solved below:

1. 800 divided by 4:

To divide 800 by 4, you divide the dividend (800) by the divisor (4):

200

-------

4 | 800

- 8

---

0

Therefore, 800 divided by 4 equals 200.

2. 4 divided by 800:

To divide 4 by 800, you divide the dividend (4) by the divisor (800):

0.005

----------

800 | 4.000

- 0

-----

4.000

Therefore, 4 divided by 800 equals 0.005.

3. 440 divided by 24:

To divide 440 by 24, you divide the dividend (440) by the divisor (24):

18

------

24 | 440

- 24

------

20

- 18

------

2

Therefore, 440 divided by 24 equals 18 remainder 2, which can also be written as 18.2 as a decimal.

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Answer:

7 minutes

Step-by-step explanation:

you have to set up a proportion

[tex]\text{If x and y are proportional, then the quotient of x and y is constant}\\\\\dfrac{y}{x}=const.=a\to y=ax\\\\x=3,\ y=18\to\dfrac{y}{x}=\dfrac{18}{3}=6\\\\\text{therefore}\ \boxed{y=6x}\\\\\text{Check:}[/tex]

[tex]x=0\to y=6(0)=0\\\\x=3\to y=6(3)=18\\\\x=8\to y=6(8)=48\\\\x=13\to y=6(13)78\\\\\boxed{y=6x}[/tex]

Answer:

100

Step-by-step explanation:

I subtracted the 2 numbers

Answer:

900

Step-by-step explanation:

500 - (-400)=900

Answer:9 is the only one

Step-by-step explanation:

Answer:

Second choice

Step-by-step explanation:

Multiply numerator by numerator and denominator by denominator

(2a+10)a

a^2(a^2+2a-15)

Cancel a from a^2

(2a+10)          

a(a^2+2a-15)

Factor: 5-3=2 and 5(-3)=-15. a^2+5a-3a-15=0. Group: a(a+5)-3(a+5)=(a-3)(a+5)

Factor: 2*a+2*5=2(a+5)

Cancel out (a+5)

2/(a(a-3))

Answer:

y=3x+2

Step-by-step explanation:

The total amount Zoe earned from babysitting is represented by the polynomial expression (x + 3) * (x - 2), which expands to [tex]x^2+x-6[/tex]

To find the total amount that Zoe earned, it is necessary to multiply the time she worked by how much she earned per hour. Zoe worked for x + 3 hours yesterday and earned x - 2 dollars per hour. Therefore, the polynomial expression to represent the total amount she earned is (x + 3) * (x - 2). This can be expanded by using the distributive property, to give the polynomial: [tex]x^2[/tex] + x - 6.

So, the amount Zoe earned can be represented by the polynomial expression [tex](x+3)*(x+2)[/tex]

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Answer:

1:2

Step-by-step explanation:

She uses 1 cup of water and 2 cups of sugar so

1:2 or 1/2.

Answer:

Step-by-step explanation:

Yep you are 100% correct grate job!!

Answer:

25

Step-by-step explanation:

Since the triangle is equilateral, all the sides have the same measures.

You can set any two sides equal to each other, and solve for x.

4x-30 = 2x + 20

4x  = 2x + 50                add 30 to both sides

2x = 50                         subtract 2x from both sides

x = 25                            divide both sides by 2

You can plug x into the expressions and compare the sides to make sure its correct.

Answer:

B. 28 hours

Step-by-step explanation:

GIVEN :- Time taken by family to travel 600 km is 8 hours

CALCULATIONS :-

To calculate the time to travel 2100 km, we need to calculate distance traveled in 1 hour

Distance traveled in 1 hour = 600 km ÷ 8

                                             = 75 km

Time required to travel 2100 km = 2100 ÷ 75

                                                        = 28 hours

Therefore time required to travel 2100 km is 28 hours.

Final answer:

The Rawlins family, traveling at a speed of 75 km/hour, will take a total of 28 hours

Explanation:

To determine the travel time for the remaining distance of the Rawlins family's journey, we use the formula

time = distance / speed. First, we need to find the family's speed during their trip. They have travelled 600 km in 8 hours, so their speed is

600 km / 8 hours = 75 km/hour.

Next, we calculate the time it would take to travel the total distance of 2100 km at this speed. So,

time = 2100 km / 75 km/hour. Upon performing the calculation, we get 28 hours. Therefore, if they continue at the same speed, the total travel time for the entire journey would be 28 hours.

Answer: 42 cookies/1 hour

Step-by-step explanation: Since Gretchen made 189 cookies in 4.5 hours, we set the equation up as 189/4.5. To get cookies per hour, we divide 189 by 4.5, which is 42/1. This means that Gretchen can make 42 cookies in 1 hour.

Answer:

a = 35°; b = 50°; c = 85°; d = 30°

Step-by-step explanation:

a = 35° because a + 80 + 65 = 180.

b = 50° because b+ 35 + 95 = 180.

c = 85° because c + 95 = 180.

d = 30° because d + 85 + 65 = 180.

Answer: Option 'C' is correct.

Step-by-step explanation:

We need to find which has one dimension.

Since Point is undefined term with no size or dimension, but in two dimensional it is found in ordered pair i.e. (x,y)

Plane is also an undefined term with length and width but no thickness, so,  it is two dimensional.

Angle is undefined term formed by tow lines or rays diverging from a common vertex, so it is two-dimensional.

But Line is also undefined term with length only but there is no width or thickness.

So, Line has exactly one dimension.

Hence, Option 'C' is correct.

Answer:

x=-6,  y=3

Step-by-step explanation:

I will use elimination to eliminate the x variable.

Add the two equations.

-3x-3y=9

3x+8y=6

-------------------

   5y  = 15

Divide each side by 5

5y/5 = 15/5

y=3

Now we need to find x

3x+8y=6

Substitute y=3

3x+8*3 =6

3x+24=6

Subtract 24 from each side

3x+24-24 = 6-24

3x = -18

Divide each side by 3

3x/3 = -18/3

x=-6

57

95% is 19/20 as a fraction. 60/20 is 3. Multiply 19 by 3 to get 57. At least that how I do it. Hopefully this helped you.

Jaylan : Water/Juice=(3/4)/(1/5)=15/4

Wanchen : Water/Juice=(2/3)/(1/6)=4/1 or 16/4

Wanchen has a weaker lime flavor because there is more water in her mixture than Jaylan's limeade. Both have the same amount of lime juice (assuming ratio), and Wanchen has more water, making Wanchen have the limeade that has the weaker lime flavor.

Answer:

[tex]x=3.783[/tex]

Step-by-step explanation:

We are given equation of volume

[tex]V=x^3+6x^2[/tex]

now, we can are given

volume is 140 in^3

we can set 140

and then we can solve for x

[tex]x^3+6x^2=140[/tex]

so, we can draw graph of these two functions

[tex]y=x^3+6x^2[/tex]

[tex]y=140[/tex]

and then we can find intersection point

we can see that intersection point is (3.783,140)

so,

[tex]x=3.783[/tex]

Answer:

The length is 5 inches, the width is 2 inches, and the height is 14 inches.

Step-by-step explanation: