PLEASE HELP MEEEEEEEE
Step 6: Problem solving with presents

a) If the sales tax is 7% on all purchases, how much must you set aside for sales tax on $300? Show your work. (2 points)

The length of the side of the smaller cube is 3.48cm

If their volumes differ  by 152 cm^3, then;

x^3 - (x+2)^3 = 153

Expand

x^3 - (x^3 + 3x^2(2^2) + 3x(2^3) + 2^4) = 153

x^3-x^3-12x^2-24x + 16 = 153

-12x^2-24x + 16 = 153

12x^2 + 24x - 16 - 153 = 0

12x^2 + 24 -169 = 0

On factorizing, the value of x is 3.48. This shows that the length of the side of the smaller cube is 3.48cm

Learn more on volume of cubes here:  https://brainly.com/question/1972490

Answer:

  y = x² -2x +5

Step-by-step explanation:

When a polynomial has q as a zero, it has (x-q) as a factor. Your polynomial has factors (x -(1-2i)) and (x -(1+2i)). The polynomial will be the product of these factors.

__

  y = (x -(1 -2i))(x -(1 +2i))

  y = ((x -1) +2i)((x -1) -2i) = (x -1)² -(2i)² = x² -2x +1 -4(-1)

  y = x² -2x +5

_____

Additional comments

i is the imaginary number √(-1), so i² = -1.

The two given roots differ only in the sign of their imaginary parts, so they are "conjugates" of each other. Complex roots of polynomials with real coefficients always come in conjugate pairs. (In some problems, you will be expected to supply the missing root of a conjugate pair.)

The expression for the product of the factors is simplified using the factoring for the difference of squares:

  (a -b)(a +b) = a² -b² . . . . . . . here, we have a=(x-1); b=2i

Answer:add 126 and 21 and 1.19

Step-by-step explanation:

126+21+1.19=

hope this helped

Answer:

7.14

Step-by-step explanation:

126 miles divided by 21 miles is 6 miles

So 6 gallons for 126 miles

1.19 times 6 is 7.14

Answer:

  y > 11/2

Step-by-step explanation:

This is solved the same way a 3-step equation is solved.

Step 1: subtract the smaller variable term from both sides.

  4y -2y +3 > 2y -2y +14

  2y +3 > 14

Step 2: subtract the constant with the variable term.

  2y +3 -3 > 14 -3

  2y > 11

Step 3: divide by the coefficient of the variable.

  2y/2 > 11/2

  y > 11/2

_____

Additional comment

By choosing to subtract the smaller variable term in the first step (regardless of which side of the inequality it is on), we ensure that the remaining variable coefficient is positive. That means we can do step 3 without worrying about changing the direction of the inequality symbol, because we're dividing by a positive number.

Answer:

that is the answer hope it helps

Step-by-step explanation:

And don't forget to copy the solution

love:from Paddington

the length of the side of this square is [tex]4\sqrt{2} \:or \:5.65[/tex]cm

Answer:

Solutions Given:

let diagonal of square be AC: 8 cm

let each side be a.

As diagonal bisect square.

let it forms right angled triangle ABC .

Where diagonal AC is hypotenuse and a is their opposite side and base.

By using Pythagoras law

hypotenuse ²=opposite side²+base side²

8²=a²+a²

64=2a²

a²=[tex]\frac{64}{2}[/tex]

a²=32

doing square root on both side

[tex]\sqrt{a²}=\sqrt{32}[/tex]

a=±[tex]\sqrt{2*2*2*2*2}[/tex]

a=±2*2[tex]\sqrt{2}[/tex]

Since side of square is always positive so

a=4[tex]\sqrt{2}[/tex] or 5.65 cm

Answer:

Given :

↠ The diagonal of a square is 8 cm.

To Find :

↠ The length of the side of square.

Using Formula :

Here is the formula to find the side of square if diagonal is given :

[tex]\implies{\sf{a = \sqrt{2} \dfrac{d}{2}}} [/tex]

Where :

Solution :

Substituting the given value in the required formula :

[tex]{\dashrightarrow{\pmb{\sf{ \: a = \sqrt{2} \dfrac{d}{2}}}}}[/tex]

[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times \dfrac{8}{2}}}}[/tex]

[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times \cancel{\dfrac{8}{2}}}}}[/tex]

[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times 4}}}[/tex]

[tex]{\dashrightarrow{\sf{ \: a = 4\sqrt{2}}}}[/tex]

[tex]{\dashrightarrow{\sf{\underline{\underline{\red{ \: a = 5.65 \: cm}}}}}}[/tex]

Hence, the length of the side of square is 5.6 cm.

[tex]\underline{\rule{220pt}{3pt}}[/tex]

Answer: 243, Reminder is 14

Step-by-step explanation:

52,259 / 215 = 243.065116

215 x 243 = 52,245

52,259 - 52,245 = 14

So the reminder is 14

Answer:

y = -2x - 8

Here's how I got that:

- You first assign the points -

     (-8, 8) → x1 = -8, y1 = 8

     (1, -10) → x2 = 1, y2 = -10

- Now you plug those points into slope formula and solve-

                          [tex]s=\frac{y2-y1}{x2-x1}[/tex]

                                   ↓

                       ((-10) - 8)/(1 - (-8))

                                   ↓

                                -18/9

                                   ↓

                           slope = -2

- Now we plug the numbers we got into intercept formula -

                            b = y1 − s ⋅ x1

                                      ↓

                             8 - (-2) · (-8)

                                      ↓

                           y-intercept = -8

           - Put everything together and you get.. -

                                 y = -2x - 8

~That's all folks~

-Siascon

[tex]\text{Given that,}\\\\(x_1,y_1) = (-8,8) ~ \text{and}~ (x_2,y_2) = (1,-10)\\\\\text{Slope, m}= \dfrac{y_2- y_1}{x_2-x_1} = \dfrac{-10-8}{1+8} = -\dfrac{18}{9} =-2\\\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y = m(x-x_1)+y_1\\\\\implies y = -2(x+8) + 8\\\\\implies y = -2x -16 +8\\\\\implies y = -2x -8[/tex]

ok done. Thank to me :>

Answer:

Liliana has $2.10 in nickels and quarters in her backpack. She has 12 more nickels than quarters. How many coins of each type does she have?

Step-by-step explanation:

Multiply: 14(0.25). If you missed this problem, review Example 5.3.5.

Simplify: 100(0.2 + 0.05n). If you missed this problem, review Example 7.4.6.

Solve: 0.25x + 0.10(x + 4) = 2.5 If you missed this problem, review Example 8.6.8.

Imagine taking a handful of coins from your pocket or purse and placing them on your desk. How would you determine the value of that pile of coins?

If you can form a step-by-step plan for finding the total value of the coins, it will help you as you begin solving coin word problems.

One way to bring some order to the mess of coins would be to separate the coins into stacks according to their value. Quarters would go with quarters, dimes with dimes, nickels with nickels, and so on. To get the total value of all the coins, you would add the total value of each pile.Figure  9.3.1  - To determine the total value of a stack of nickels, multiply the number of nickels times the value of one nickel.For coins of the same type, the total value can be found as follows:

number⋅value=totalvalue(9.3.1)

where number is the number of coins, value is the value of each coin, and total value is the total value of all the coins.

You could continue this process for each type of coin, and then you would know the total value of each type of coin. To get the total value of all the coins, add the total value of each type of coin.

Let's look at a specific case. Suppose there are 14 quarters, 17 dimes, 21 nickels, and 39 pennies. We'll make a table to organize the information – the type of coin, the number of each, and the value.

Table  9.3.1

Type Number Value ($) Total Value ($)

Quarters 14 0.25 3.50

Dimes 17 0.10 1.70

Nickels 21 0.05 1.05

Pennies 39 0.01 0.39

6.64

How would you determine the value of each pile? Think about the dime pile—how much is it worth? If you count the number of dimes, you'll know how many you have—the number of dimes.

But this does not tell you the value of all the dimes. Say you counted 17 dimes, how much are they worth? Each dime is worth $0.10 —that is the value of one dime. To find the total value of the pile of 17 dimes, multiply 17 by $0.10 to get $1.70. This is the total value of all 17 dimes.

Answer:

How much it cost!? Will it fly?! How far will it fly?!

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Slope of the first one:

(-6-0)/(0--3) = -6/3 = -2

y = -2x - 6

3y + 30 = 6x

y + 10 = 2x

-2x - 6 + 10 = 2x

4 = 4x

x = 1

y = -2(1) - 6

y = -8

Answer:

1. 1y + 13.5x

2.12x + 40y

Sam's car = 202.5 ft

Alice's car = 184 ft

Step-by-step explanation:

Based on the dimensions of the clipboard, the length of the ribbon is 40 inches and the area of the clipboard is 99 inches ².

The ribbon goes around the clipboard which means that its length is the clipboard's perimeter which is calculated as:

= 2 x length + 2 x Width

= 2 x 9 + 2 x 11

= 18 + 22

= 40 inches

The area of the clipboard will be:

= Length x Width

= 9 x 11

= 99 inches ²

In conclusion, the length is 40 inches and the area is 99 inches²

Find out more about area at https://brainly.com/question/16997207.

Answer:

Step-by-step explanation:

The first step in solving the equation is to cube both sides:

  (∛x)³ = (-4)³ . . . . . = (-4)(-4)(-4) = 16(-4) = -64

  x = -64 . . . . . simplified

__

We're not sure what "checking" is supposed to involve here. Usually, one would check the answer by seeing if a true statement is made when the answer is put into the original equation.

  ∛(-64) = -4 . . . true

Many calculators will not compute √(-64) because they compute roots using logarithms. The log of a negative number is not defined.

So, the way one would check this is to cube both sides, which is how we got the answer in the first place. We expect the same result from doing the same operation again, so it isn't really a check.

Answer:

This is the graph of a sine function

The y-intercept of the graph is the function value y=0

The smallest positive x-intercept of the graph is located at x=pi/2

The greatest value of y is y=2

For x between x=-pi and x=pi/2, the function value y=>0

Step-by-step explanation:

Answer:

x = the number

Step-by-step explanation:

15.) 2x + 9 = 25

16.) 3x - 6 = 21

17.) 7x = 12 + 3x

18.) 4x = 18 + x

19.) 2x + 24 = 8x

20.) 30 - x = 4x

Step-by-step explanation:

honestly kinda stumped so ima give you the best copy and pasted answer ever

A:

Isolate the variable by dividing each side by factors that don't contain the variable. y = x/3 − 4/3

and also x=7 y=1

HOPE I HELPED, SORRY IF I GOT IT WRONG <3

Answer:

C is the answer because it makes the most sense

Answer:

yall werid

Step-by-step explanation:

Answer:

not proportional

Step-by-step explanation:

because if you multiply 480×40=19200 and 300×25=7500

it is not the same

The earnings of Sal and Lidia will be equal to each other. So, yes their salaries are proportional.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Sal acquires $480 each week. Lidia acquires $300 each week. On the off chance that Sal works 40 hours out of every week and Lidia works 25 hours out of each week.

The earnings of Sal in each hour will be given as,

⇒ $480 / 40

⇒ $12 each hour

The earnings of Lidia in each hour will be given as,

⇒ $300/ 25

⇒ $12 each hour

The income of Sal and Lidia will be equivalent to one another. Along these lines, yes their compensations are corresponding.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ2

Answer:

0.9km(rounded to 1dp)

Step-by-step explanation:

2.7km on sat

1.8km on sun

2.7km-1.8km=0.9km

When plotting the graph, the times and distances Elijah drove are added

cumulatively on the horizontal and vertical axis of the graph.

Reasons:

The distances travelled by Elijah in the given times are as follows;

[tex]\begin{tabular}{|c|cc|} \underline{Time}&&\underline{Blocks away from home}\\0&&0\\6&&6\\12&&6\\15&&9\\22&&9\\25&&0\end{array}\right][/tex]

Using the above table, a graph can be plotted with MS Excel insert Chart function, to plot a Scatter with Straight Lines and Markers chart.

Please find attached the required graph showing Elijah's distance driven in

number of blocks away from his house, in xx minutes after he leaves his

house, until he gets back home created with MS Excel.

Learn more about plotting graphs here:

https://brainly.com/question/371134

Answer:

the answer is 5 hours 6 minutes 2 seconds

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

b

Answer:c

Step-by-step explanation:

anser :c

Answer:

[tex]\sqrt[9]{10}[/tex]

Step-by-step explanation:

When you're multiplying radicals you start by multiplying inside the radical. Break it down so it's easier for you:

1.  [tex]\sqrt{15}*\sqrt{6} = \sqrt{90}[/tex] beacause 15 * 6 = 90

2. The next step is to simplify that radical. You simplify by finding factors of that number. The factors of 90 are:

You want to take the biggest factors of that number (yours is 9 * 10). After that you are going to break it down more. What are the factors of 9 and what are the factors of 10? Well the biggest factors of 9 are 3 * 3 and the biggest factors of 10 are 5 * 2, so 10 cannot be broken down anymore because it doesn't have two of the same numbers so 10 is going to stay the same, but 9 has two of the same number (3). What we're left with is [tex]\sqrt[3]{10}[/tex] because the same numbers stay out of the radical and the single number stays inside.

3. We can't forget about the 3 that we left out, so what we're going to do is write [tex]3 *\sqrt[3]{10}[/tex]. When you multiply that out you keep the outside with the outisde which results in the answer being [tex]\sqrt[9]{10}[/tex] because this cannot be simplified anymore.

Answer:

You must graph this on a graphing site

Step-by-step explanation:

Use one from enternet and type in the equation!!

Answer:

most models of scientific calculators in degree mode, all you have to do is press "Mode" and then look at the numbers on the screen beside the menu items. Locate the number beside "Deg" or "Degrees" and press it to change the mode of your calculator

Answer:

Fv = Pv(1 + i/m ) n×m

=60 000(1 + 0.12/2) 1×2

=60 000(1.06) ²

=60 000×1.1236

=67 416