A student has $10. She will save $5 each week. The student wrote the expression show to represent the amount
of money she will have after w weeks.
5W + 10
Which of the following expressions is equivalent to the student's expression for any value of wo?
A 15w
B 50w
5(w +2)
D5(w +10)

Answer:

Therefore his new balance=$712.95

Therefore his new balance is  =$ 930.44  

Step-by-step explanation:

Darnell starts the month $ 952.43 in his checking account.

He buys an iPhone 7 for $ 217.49 with tax included and two kindle books that each $7.99.

The price of two books is =$(7.99× 2)= $ 15.98

Total amount that he paid for iPhone 7 and two books is =$(217.49+15.98)

                                                                                              =$233.47

Therefore his new balance = $(952.43- 233.47)

                                            =$712.95

The new iPhone 7 is not as awesome as promised , and Darnell returns it.

He will get the price of iPhone refund.

Therefore his new balance is $(712.95+217.49)

                                                =$ 930.44            

Darnell's new balance after purchases is $718.96. When he returns the iPhone 7, his balance is back to $936.45, as subtracting the negative cost of the iPhone is equivalent to adding its price back to his account.

To find Darnell's new balance after his purchases and subsequent return, we need to perform a few calculations based on the transactions. Darnell starts with $952.43 in his checking account. First, he purchases an iPhone 7 for $217.49 and two Kindle books, each costing $7.99. The total cost for the books is $7.99 x 2 = $15.98. We subtract these amounts from his initial balance:

$952.43 - $217.49 = $734.94

$734.94 - $15.98 = $718.96

Therefore, after the purchases, Darnell's new balance is $718.96.

When Darnell returns the iPhone 7, he gets a refund of $217.49, which is like subtracting a negative number from his balance because subtracting a negative is the same as adding a positive. So:

$718.96 + $217.49 = $936.45

After returning the iPhone 7, Darnell's new balance is $936.45.

6 sec can take penny to strike the ground.

Solution:

Given data:

[tex]H_0=288[/tex] feet

[tex]V_0=48[/tex] feet

[tex]h(t)=288+48t-16t^2[/tex]

Re-arrange the terms from greatest degree to smallest degree.

[tex]h(t)=-16t^2+48t+288[/tex]

We can solve it by applying quadratic formula,

[tex]$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Here a = –16, b = 48, c = 288

[tex]$t=\frac{-48\pm \sqrt{48^2-4(-16)(288)}}{2(-16)}[/tex]

[tex]$t=\frac{-48\pm \sqrt{2304+18432}}{-32}[/tex]

[tex]$t=\frac{-48\pm \sqrt{20736}}{-32}[/tex]

[tex]$t=\frac{-48\pm144}{-32}[/tex]

Now, write find two t's using plus and minus operation.

[tex]$t=\frac{-48+144}{-32},\ \ t=\frac{-48-144}{-32}[/tex]

[tex]$t=\frac{96}{-32},\ \ t=\frac{-192}{-32}[/tex]

t = –3 (or)   t = 6

We cannot write time is negative. so neglect t = –3.

Therefore t = 6.

Hence 6 sec can take penny to strike the ground.

Answer:4

Step-by-step explanation:

128, 64, 32, 16, 8, 4

The number of players remaining after 5 rounds is equal to 4 players.

An exponential function refers to a mathematical function whose numerical values are generated by a constant that is raised to the power of an argument.

Mathematically, the number of players remaining after 5 rounds is given by:

f(x) = neˣ

f(x) = 128 × (1/2)⁵

f(x) = 128 × 0.03125

f(x) = 4 players.

Read more on an exponential function here: https://brainly.com/question/12940982

Answer:

83.6 mL

Step-by-step explanation:

Given 440 mL of 19% acid solution. This means the whole volume of this acid solution is 100%. Let x mL be the volume of pure acid in this solution.

Then

[tex]440\ mL - 100\%\\ \\x\ mL - 19\%[/tex]

Write a proportion:

[tex]\dfrac{440}{x}=\dfrac{100}{19}[/tex]

Cross multiply:

[tex]100\cdot x=440\cdot 19\\ \\x=\dfrac{440\cdot 19}{100}\\ \\x=\dfrac{8,360}{100}\\ \\x=83.60\ mL[/tex]

Final answer:

In 440 milliliters of a 19% solution, there are 83.6 milliliters of pure acid, calculated by multiplying the percentage (converted to a decimal) by the total volume of the solution.

Explanation:

To find out how much pure acid is in 440 milliliters of a 19% solution, you need to use the concept of percentage concentration in chemistry. The percentage concentration tells us how much of a substance is present in a solution compared to the total amount of the solution.

In this case, we have a 19% acid solution. This means that 19% of the solution's total volume is pure acid. To calculate the volume of pure acid, you multiply the total volume of the solution by the percentage (expressed as a decimal).

Calculation:

Convert the percentage to a decimal: 19% = 0.19

Multiply this decimal by the total volume of the solution: 0.19 × 440 mL

This gives us the volume of pure acid: 0.19 × 440 mL = 83.6 mL

So, there are 83.6 milliliters of pure acid in 440 milliliters of a 19% acid solution.

Answer:

51.2

Step-by-step explanation:

Answer:

51.2

Step-by-step explanation:

160% is the same as saying 1.6 as a decimal. So 160% of 32 would be 32 × 1.6 = 51.2

Answer:

?

Step-by-step explanation:

Answer:25

Step-by-step explanation: Add 7 to the next term to get the next term.

-3+7=4

4+7=11

11+7=18

18+7=25

Answer:

$75

Step-by-step explanation:

Step-by-step explanation:

We have,

(5[tex]x^2[/tex] − 3x − 2) − (− 2[tex]x^2[/tex] − x + 10)

To subtract (5[tex]x^2[/tex] − 3x − 2) − (− 2[tex]x^2[/tex] − x + 10) = ?

∴ (5[tex]x^2[/tex] − 3x −2) − (−2[tex]x^2[/tex] − x + 10)

= 5[tex]x^2[/tex] − 3x − 2 + 2[tex]x^2[/tex] + x - 10

= (5[tex]x^2[/tex] + 2[tex]x^2[/tex]) + ( − 3x + x) + (- 2 - 10)

= 7[tex]x^2[/tex] + ( -2x) + ( - 12)

= 7[tex]x^2[/tex]  - 2x - 12

∴ (5[tex]x^2[/tex] − 3x −2) − (−2[tex]x^2[/tex] − x + 10) = = 7[tex]x^2[/tex]  - 2x - 12

Answer: [tex]y = -2x + 9[/tex]

Step-by-step explanation:

The formula for finding equation of line given slope and one point is given as :

[tex]y - y_{1} = m ( x - x_{1} )[/tex]

[tex]x_{1}[/tex] = 1

[tex]y_{1}[/tex] = 7

[tex]m = -2[/tex]

substituting the values into the equation , we have :

[tex]y - 7 = -2 ( x - 1 )[/tex]

[tex]y - 7 = -2x +2[/tex]

[tex]y = -2x + 2 + 7[/tex]

[tex]y = -2x + 9[/tex]

0.768 is closest to 0.77, which is closest to 0.8, so there's your answer.

Round up when the number is higher than 5, or round down when lower than 5

Answer:

H(-1) = 2(-1) - 6

4(-1)^2+8

= - 2-6

4(1)+8

= -8

12

=-2

3

The student needs to evaluate H(-1) for a given function. Based on the information, h(x) = 4x + x² seems like the function intended, thus h(-1) equals -3.

The student is asking to evaluate the function H(x) at x = -1. From the information given, it seems there is a typo in the function H(x), but we can still proceed with the information from the examples provided.

The correct expression for H(x) based on the examples might be h(x) = 4x + x². When evaluating h(-1), the calculation would be h(-1) = 4(-1) + (-1)².

Using order of operations:

Now, sum both results: -4 + 1 = -3.

Therefore, the value of H(-1) or h(-1) is -3.

Answer:

The number is 0

Step-by-step explanation:

We form an equation using the statement:

8 = 7x + 8

Then we solve it:

8 = 7x + 8

8 - 8 = 7x

0 = 7x

0 ÷ 7 = x

x = 0

Answer:

x = -3

Step-by-step explanation:

3(x - 6)= -2 + 5(2x + 1)

= 3x - 18 = -2 + 10x + 5

= -18 = -2 + 7x + 5

= -18 = 7x + 3

= -21 = 7x

= -3 = x

= x = -3

Sixty-one one hundredths

Final answer:

The fraction of a dollar that 61 pennies represent is 61/100, which in decimal form is 0.61, and in word form is sixty-one hundredths.

Explanation:

If we want to express 61 pennies as a fraction of a dollar, we simply divide the number of pennies by the total number of pennies in a dollar. Since there are 100 pennies in a dollar, we get the fraction 61/100.

In decimal form, this fraction is equivalent to 0.61 because when you divide the numerator 61 by the denominator 100, the result is 0.61. Converting this fraction into words, we say sixty-one hundredths.

Using money examples, like fractions of a dollar, helps make the math more relatable as we often work with money in everyday life.

Answer:

[tex]A.\ 1\frac{17}{30}\ hours[/tex]

Step-by-step explanation:

[tex]Let\ second\ jet\ overtake\ first\ in\ x\ hours.\\\\[/tex]

Distance covered by first jet:

[tex]Speed\ of\ first\ jet=564\ km/h\\\\Time=x+\frac{1}{2}\\\\Distance\ covered=speed\times time\\\\Distance\ covered=564\times (x+\frac{1}{2})=564x+564\times \frac{1}{2}\\\\Distance\ covered=564x+282[/tex]

Distance covered by second jet:

[tex]Speed\ of\ second\ jet=744\ km/h\\\\Time=x\\\\Distance\ covered=speed\times time\\\\Distance\ covered=744\times x\\\\Distance\ covered=744x[/tex]

[tex]Distance\ covered\ by\ both\ the\ jet\ in\ x\ hours\ is\ equal.\\\\744x=564x+282\\\\744x-564x=282\\\\180x=282\\\\x=\frac{282}{180}=\frac{6\times 47}{6\times 30}\\\\x=\frac{47}{30}\ hours\\\\x=1\frac{17}{30}\ hours[/tex]

I dont really know but nice a question from last year

Answer:

S = 2(1/2)(4)(6) + 4(12) + 2(7)(12)

= 24 + 48 + 168

= 240 cm²

Answer:

Her new salary per month is $2750.

Step-by-step explanation:

Given:

A person’s salary is $2500 per month.

She receives a 10% raise.

Now, to find the new salary.

Salary per month = $2500.

She receives raise = 10% of $2500.

Now, to get the new salary:

[tex]2500+10\%\ \times 2500[/tex]

= [tex]2500+\frac{10}{100} \times 2500[/tex]

[tex]=2500+0.10\times 2500[/tex]

[tex]=2500+250[/tex]

[tex]=2750.[/tex]

Hence, the new salary = $2750.

Therefore, her new salary per month is $2750.

The person's new salary, after receiving a 10% raise, is $2750 per month.

Step 1: Calculate the raise amount:

Raise Amount = Original Salary × Raise Percentage

Raise Amount = $2500 × 0.10 = $250

Step 2: Add the raise amount to the original salary:

To determine the new salary, add the raise amount to the original salary.

New Salary = Original Salary + Raise Amount

New Salary = $2500 + $250 = $2750

Therefore, the person's new salary, after receiving a 10% raise, is $2750 per month.

Expression:

New Salary = Original Salary + (Original Salary × Raise Percentage)

New Salary = $2500 + ($2500 × 0.10)

New Salary = $2500 + $250

New Salary = $2750

Answer:

Sally y= (8.25)(6.5)= $53.63

Michelle y = (6.75)(8.95)= $60.41

Michelle earns more

60.41-53.63= $6.78

Answer: p=1/8

Step-by-step explanation:

-3p + 1/8= -1/4

-3p= -1/4-1/8

-3p=-3/8

P=(-3/8)/-3

P=1/8

Step-by-step explanation:

[tex] - 3p + \frac{1}{8} = - \frac{1}{4} \\ \\ \therefore \: \frac{1}{8} + \frac{1}{4} = 3p \\ \\ \therefore \: \frac{1}{8} + \frac{1 \times 2}{4 \times 2} = 3p \\ \\ \therefore \: \frac{1}{8} + \frac{2}{8} = 3p \\ \\\therefore \: 3p = \frac{1 + 2}{8} \\ \\ \therefore \: 3p = \frac{3}{8} \\ \\ \therefore \: p = \frac{3}{8 \times 3} \\ \\ \huge \purple{ \boxed{\therefore \: p = \frac{1}{8 }}} \\ \\ [/tex]

Answer:

Step-by-step explanation:

answer:

5 or 26/3

step-by-step explanation:

either one is okay mine is just simplified all the way :)

Answer:

26 times.

Step-by-step explanation:

Total number of candies = 500.

Probability ( Angie drawing a brown candy) = 130/500  = 13/50.

Probability (Eric drawing a red candy) = 100/500 = 1/5.

So Probability ( Angie drawing brown then Eric drawing a red) = 13/50 * 1/5

= 13/250.

Therefore the expectation  of the number of times this will happen

= Probability * total number of draws

=  (13/250) * 500

= 13 * 2

=  26 times.

Answer:

-4320t^2

Step-by-step explanation:

Use Pascal's triangle to figure out the variables.

In the 5th expansion, we see that the 4th term is:

10x^2 y^3

Plug in the values,

10*(4)^2 * (-3)^3 = -4230.

However, since the -3 in the original expression does not have a variable next to it, we do not include it in our answer.

Therefore, the 4th term is -4230t^2

Answer:-3840t^4

Step-by-step explanation:cause it is XD good luck yall

Answer:

To find probability, divide the number of times an event happens by the number of trials.

Answer:

outcome

Step-by-step explanation:

i took the test and i got this anser to the question

Answer:

Since garden is rectangular in shape,

The area of grass needed to be painted =

Length x breadth.

Length = 21 ft

Breadth= 12ft

Area= (21 x 12)ft square

234ft square

Step-by-step explanation:

A kitten weighing 100 grams at birth and gaining 8 grams per day will take 25 days to triple its birth weight and reach 300 grams.

To calculate the number of days it will take for a kitten to triple its birth weight, we will use the given rate of weight gain and the initial weight. A kitten weighs about 100 grams at birth and gains 8 grams per day. To triple the kitten's weight, it must reach 300 grams (100 grams multiplied by 3).

First, we find the total weight gain needed for the kitten to triple its weight:

300 grams (desired weight) - 100 grams (birth weight) = 200 grams (weight gain needed).

Next, we divide the total weight gain needed by the daily weight gain to find the number of days:

200 grams (weight gain needed) / 8 grams (daily weight gain) = 25 days.

Therefore, it will take the kitten 25 days to triple its birth weight at a rate of 8 grams per day.

Answer:

x= 27

Step-by-step explanation:

Move constant to the right-hand side and change its sign.

[tex]\sqrt{2x+10}[/tex] = 2+6

Add the numbers.

[tex]\sqrt{2x+10}[/tex]= 8

Square both sides of the equation.

2x+10= 64

Move the constant to the right-hand side and change its sign.

2x= 64-10

Subtract the numbers.

2x= 54

Divide both sides of the equation by 2.

x= 27