To divide 4/5 by 1/4, multiply by the reciprocal of the second fraction to get 16/5, which converts to the mixed number 3 1/5.
Explanation:Dividing Fractions and Conversion to Mixed NumberTo divide two fractions, you multiply the first fraction by the reciprocal of the second fraction. In the case of 4/5 divided by 1/4, you would flip 1/4 to get its reciprocal, which is 4/1, and then multiply it by 4/5.
Step-by-step:
Write the problem as 4/5 × 4/1.Multiply the numerators: 4 × 4 = 16.Multiply the denominators: 5 × 1 = 5.The result of the multiplication is 16/5.To convert to a mixed number, see how many times 5 goes into 16, which is 3 times with a remainder of 1.The mixed number is 3 1/5.Therefore, 4/5 divided by 1/4 as a mixed number is 3 1/5.
Learn more about Dividing Fractions here:https://brainly.com/question/1627825
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Find the coefficient of the t4
term in the expansion of
(4t– 3)^5
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
What is the next term in the following sequence? -3, 4, 11, 18, ...
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
Each year the local country club sponsors a tennis tournament. Play starts with 128 participants. During each round, half of the players are eliminated. How many players remain after 5 rounds?
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.
What is an exponential function?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
what value of x makes the equation 3(x - 6) - 8x = -2 + 5(2x + 1) true ?
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
What is 160% of what is 32
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
A person’s salary is $2500 per month. She receives a 10% raise. What is her new salary, in dollars per month?
* Write an expression using multiplication.
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
Subtract. (5 x 2 −3x−2)−(−2 x 2 −x+10)
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
What is the solution set of the given equation?
4y - 6y + 9y = -2
{-2/11}
{2/7}
{2/11}
{-2/7}
To find probability, divide the number of __________ by the number of trials
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
Mark is planning to paint grass in his backyard. His yard is 21 ft. long and 12 ft. wide. How much grass does he need?
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:
How much pure acid is in 440 milliliters of a 19% solution
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.
Problem Solving
Real
World
10. There are 100 pennies in a dollar. What
fraction of a dollar is 61 pennies? Write it as a
fraction, as a decimal, and in word form.
How do you put 61/100 in word form
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.
H(x) = 2x-6
4x^2 +8
H(-1)=?
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.
Explanation: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:
4(-1) = -4(-1)² = 1Now, sum both results: -4 + 1 = -3.
Therefore, the value of H(-1) or h(-1) is -3.
A jet leaves the Charlotte, North Carolina, airport traveling at an average rate of 564 km/h. Another jet leaves the airport one-half hour later traveling at 744 km/h in the same direction. Use an equation to find how long the second jet will take to overtake the first.
A.
1 17/30 h
B.
2 1/15 h
C.
− 1 17/30 h
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]
What is the solution to the equation?
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
help help help help help
Answer:
?
Step-by-step explanation:
How to divide 2/4 by 2
Answer:
1/4
Step-by-step explanation:
multiply the whole number to the denominator
so 4(2) = 8
u now have 2/8
simplify the fraction and ur done :)
in decimal form .25
Question 3 of 50
Line A in the given graph has what kind of slope?
-1/2
0
undefined
work out the equation of the line which has a gradient of -2 and passes through the point (1,7)
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]
-3 p + 1/8 equals -1/4 what is value of p
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]
Eight more than seven times a number is 8
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
what is 130/15 simplifed
Answer:
26/3Step-by-step explanation:
answer:
5 or 26/3
step-by-step explanation:
either one is okay mine is just simplified all the way :)
Subtract and simplify. Show work please!
(-2y^2-11y-7)-(-9y^2-5y+10)
Multiply and simplify. Show work please!
(7x-6)(3x^2-4x+5)
I dont really know but nice a question from last year
On Saturday sally works 8.25 hours and earns $6.50 an hour. Michelle work 6.75 hours and earns $8.95 an hour. Who earns more? How much more?
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
Calculate the surface area of the following triangular prism:
156 cm^2
240 cm^2
0336 cm^2
288 cm^2
Answer:
S = 2(1/2)(4)(6) + 4(12) + 2(7)(12)
= 24 + 48 + 168
= 240 cm²
Round 0.768 to the nearest tenths
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
Angie and Eric have opened a jumbo bag of candies and counted the number of each color. They have 100 red, 180 green, 90 yellow, and 130 brown candies. Sarah and Laney each take turns drawing a candy, replacing each candy after they draw. If Angie and Eric each draw a candy 500 times, how many times should they expect for Angie to draw a brown candy followed by Eric drawing a red candy?
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.
Darnell starts the month $952.43 in his checking account. Darnell buys an iPhone 7 for $217.49 with tax included, and two kindle books that each cost $7.99. He pays with his checking account debit card. What is his new balance? The new iPhone 7 is not as awesome as promised, and Darnell returns it. What is his new balance? Explain how returning the phone is like the subtracting a negative number from his balance.
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.
Kittens weigh about 100 grams when born and gain 7 to 15 grams per day. If a kitten weighed 100 grams at birth and gained 8 grams per day, in how many days will the kitten triple its weight
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.
Amanda works at a store that pays her 5% commission on the total amount of clothes she sells last week she sold $1200 worth of clothes what is the amount of commission Amanda earned last week
Answer:
$75
Step-by-step explanation: