Shelia has to pack 128 baskets of apples. She had packed 1/4 of the baskets. How many baskets are left for her to pack?
You spend $28 on ingredients to make cookies. You charge $4 per container of cookies. How many containers do you need to sell to earn $20 in profit?
An athlete eats
45
grams of protein per day while training. How much is this in milligrams?
Solve the inequality. Graph the solution.
z - 4.7 ≥ -1.6
The solution of the given inequality is z ≥ 3.1
The Graph of the solution of the inequality z - 4.7 ≥ -1.6 is attached below.
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality.
Given that the inequality;
z - 4.7 ≥ -1.6
Solving;
z ≥ 1.6 + 4.7
z ≥ 3.1
Therefore, The solution of the given inequality is z ≥ 3.1
The Graph of the solution of the inequality z - 4.7 ≥ -1.6 is attached below.
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slove for u=vw+z to get v by its self
One- third of a number is five-sixths. Find the number
A factory produces 5−packs of pencils. To be within the weight specifications, a pack of 5 pencils should weigh between 60 grams and 95 grams. Each package has a mass of 15 grams. Enter a compound inequality to represent the mass of a single pencil in a pack. Can each pencil have a mass of 10.5 grams?
The compound inequality will be: [tex]9\leq x\leq 16[/tex], where [tex]x[/tex] is the mass of a single pencil and each pencil can have a mass of 10.5 grams.
Explanation
Suppose, the mass of a single pencil in the pack is [tex]x[/tex] gram.
So, the total mass of 5 pencils will be: [tex]5x[/tex] grams.
Each package has a mass of 15 grams. So, the total weight of the pack of 5 pencils [tex]=(5x+15)[/tex] grams.
To be within the weight specifications, a pack of 5 pencils should weigh between 60 grams and 95 grams. So, the compound inequality will be..........
[tex]60\leq 5x+15\leq 95\\ \\ 60-15\leq 5x+15-15\leq 95-15\\ \\ 45\leq 5x\leq 80\\ \\ \frac{45}{5}\leq \frac{5x}{5}\leq \frac{80}{5}\\ \\ 9\leq x\leq 16[/tex]
So, the compound inequality to represent the mass of a single pencil in a pack will be: [tex]9\leq x\leq 16[/tex], where [tex]x[/tex] is the mass of a single pencil.
smamantha deposits ＄300 in a bank account thats earns an annual rate of 2.5%.after 9months,she computes the simple interest what is the correct amount of simple interest after 9 months
Lev has 9 tens . Jim has 1 ten. They put all their tens together. Dawn puts 9 ones with the tens. What number did they make?
Lev and Jim have a total of 100 in tens, and with Dawn's 9 ones added, they make the number 109.
Lev has 9 tens which is equal to 90 (because 9 times 10 equals 90). Jim has 1 ten which is equal to 10. When they put all their tens together, we add 90 and 10 to get 100. Dawn then adds 9 ones to the tens. To find the final number, we add Dawn's 9 ones to the previously combined tens, which is adding 9 to 100, resulting in 109. Therefore, by pooling together their tens and ones, they made the number 109.
Let f(x) = 2x - 7 and g(x) = -6x - 3. Find f(x) + g(x) and state its domain.
Answer:
[tex]\( f(x) + g(x) = -4x - 10 \).[/tex]
To find the domain of [tex]\( f(x) + g(x) \)[/tex], we need to consider the values of [tex]\( x \)[/tex] for which the function is defined. Since [tex]\( f(x) \)[/tex] and [tex]\( g(x) \)[/tex] are both linear functions, their domain is all real numbers.
So, the domain of [tex]\( f(x) + g(x) \)[/tex] is [tex]\( \mathbb{R} \)[/tex] , which means that [tex]\( x \)[/tex] can be any real number.
Explanation:
To find [tex]\( f(x) + g(x) \)[/tex] , we simply add the functions [tex]\( f(x) \) and \( g(x) \)[/tex] together:
[tex]\[ f(x) + g(x) = (2x - 7) + (-6x - 3) \][/tex]
Now, let's simplify:
[tex]\[ f(x) + g(x) = 2x - 7 - 6x - 3 \][/tex]
[tex]\[ f(x) + g(x) = (2x - 6x) + (-7 - 3) \][/tex]
[tex]\[ f(x) + g(x) = -4x - 10 \][/tex]
Complete the equation below by writing an equation equivalent to height h of a cylinder
A taxi service charges a flat fee of $4.20 per ride plus an additional $.80 per mile.
If a taxi ride costs $6.60, how many miles did the taxi travel?
Answer:
3.
Step-by-step explanation:
What is the equation in point slope form of the line passing through (4,0) and (2,6)
How many pairs of whole numbers have the sum of 99
f (1)= 7, f (n)= f (n-1) + 14
X2 -2x + 1= 0. Solve the equation using the quadratic formula. Then solve the equation by factoring to check your solutions
The solutions to the given quadratic equation are x=1 and x=1.
The given quadratic equation is x²-2x+1=0.
The roots of a quadratic equation ax² + bx + c = 0 are given by x = [-b ± √(b² - 4ac)]/2a.
Here, a=1, b=-2 and c=1
Now, x = [2 ± √(4 - 4)]/2
x=2±0/2
x=1
With factoring, we get
x²-2x+1=0
x²-x-x+1=0
x(x-1)-1(x-1)=0
(x-1)(x-1)=0
(x-1)=0
x=1
Therefore, the solutions to the given quadratic equation are x=1 and x=1.
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What is equivalent to 5.300
Another common multiple of 30 and 42 besides 210
The percentage results of a quiz are as follows: 62, 83, 90, 72, 88, 92, 75, 88, 96, 86, 81, 68, 87. About what percent of the class scored below an 80?
If the angle between polaris and the horizon is 40°, what is your approximate latitude?
Polaris is the basis of our calculation having a deviation of 0.7 degrees from the fixed north. So if the angle between Polaris and the horizon is 40 degrees, then it only means that you are at approximately 39.3-40.7 degrees north latitude.
Final answer:
The angle between Polaris and the horizon is approximately equal to the observer's latitude. Therefore, if Polaris is observed at a 40° angle from the horizon, the observer is at approximately 40° North latitude.
Explanation:
When you observe Polaris, the North Star, from your location and find that its angle above the horizon is 40°, this angle is equivalent to your approximate latitude. This is because Polaris is situated nearly directly above the Earth's North Pole.
Therefore, the altitude angle of Polaris, as you observe it from a particular location in the Northern Hemisphere, generally corresponds to that location's latitude. In your case, since Polaris is at a 40° altitude, your latitude is approximately 40° North.
Which conversion factors are used to multiply to 18 cm/s to get meters per minute?
Answer:
[tex]\frac{60}{100}[/tex]
Step-by-step explanation:
Here, the given expression,
18 cm per sec
That is, measure in 1 sec = 18 cm
∵ 1 minute = 60 seconds,
⇒ 1 second = [tex]\frac{1}{60}[/tex] minutes,
Also, 1 meters ( m ) = 100 centimeters ( cm ),
⇒ 1 cm = [tex]\frac{1}{100}[/tex] m,
So, the measure in [tex]\frac{1}{60}[/tex] minutes = 18× [tex]\frac{1}{100}[/tex] cm,
Thus, the measure in 1 minute = [tex]18\times \frac{60}{100}[/tex] cm
Hence, the conversion factors are used to multiply to 18 cm/s to get meters per minute is [tex]\frac{60}{100}[/tex]
divide 300 g^2 0.0005 g and express using scientific notation
Answer:
[tex]\Rightarrow 6\times 10^5\ g[/tex]
Step-by-step explanation:
Given : Divide two number and write as scientific notation.
Scientific notation:
[tex]\Rightarrow k\times 10^n[/tex]
Number 1: 300 g²
Number 2: 0.0005 g
Divide [tex]=\dfrac{300\ g^2}{0.0005\ g}[/tex]
[tex]\Rightarrow \dfrac{30\times 10}{5\times 10^{-4}\ g{2-1}[/tex]
[tex]\Rightarrow 6\times 10^{1+4}\ g[/tex]
[tex]\Rightarrow 6\times 10^5\ g[/tex]
Scientific notation:
[tex]\Rightarrow k\times 10^n[/tex]
Hence, The result of division is [tex]\Rightarrow 6\times 10^5\ g[/tex]
Which method do you prefer to use to find sums__count by tens and ones,use compatible numbers,or use friendly numbers and adjust? Explain why.
(b) we often read that iq scores for large populations are centered at 100. what percent of these 78 students have scores above 100? (round your answer to one decimal place.)
IQ scores follow a bell curve distribution where 100 is the mean. About 50% of people score above 100. Therefore, in a group of 78 students, we would expect about 39 students to have IQ scores above 100.
Explanation:The question is asking to determine what percent of 78 students in a population have IQ scores above a 100. Given that the IQ scores in large populations are centered at 100 and follow a bell curve, most people fall within the range of 85 to 115. The percentage of people who score above 100 is the same as those who score below it - about 50%.
According to the nature of a bell curve, approximately 34% of people score between 100 and 115, and about 14% score above 115. Therefore, around 50% (34% + 14%) of the people score above 100.
Applying this percentage to the population of the 78 students, we would expect about 50% of this student population to have scores above 100. So, 50% of 78 students amounts to 39 students. Rounded off to one decimal place, the answer would be 39.0 students. However, students can't be divided, so we conclude that about 39 students from the group of 78 have IQ scores above 100.
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How many combinations of four different odd numbers whose sum is 30 can you find?
A race car travels at 205 mi/h. How far does the car travel in 3 hours
The manager at Jessica's Furniture Store is trying to figure out how much to charge for a couch that just arrived. If the couch was bought at a wholesale price of $113.00 and Jessica's Furniture Store marks up all furniture by 45%, at what price should the manager sell the couch?
Answer: The manager sold the couch at $163.85.
Step-by-step explanation:
Since we have given that
Wholesale price of the couch = $113.00
If Jessica's Furniture Store marks up all furniture by 45%.
So, Increment in whole sale price is given by
[tex]\frac{45}{100}\times 113\\\\=\frac{5085}{100}\\\\=\$50.85[/tex]
So, the manager sold the couch at the price is given by
[tex]\$113.00+\$50.85\\\\=\$163.85[/tex]
Hence, the manager sold the couch at $163.85.
Evaluate –32 + (2 – 6)(10).
Final answer:
The expression –32 + (2 – 6)(10) evaluates to –72, by first calculating the operation within the parentheses, multiplying it by 10, and then adding it to –32.
Explanation:
To evaluate the expression –32 + (2 – 6)(10), we must follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Firstly, we calculate the value inside the parentheses (2 – 6), which equals –4. Then we multiply this value by 10 to get –40. Finally, we add the result to –32 which gives us –32 + (–40) = –32 – 40 = –72.
Final answer:
The expression –32 + (2 – 6)(10) evaluates to –372 after performing the operations inside the parentheses and then multiplying and adding as per the order of operations.
Explanation:
To evaluate the expression –32 + (2 – 6)(10), we start by performing the operation inside the parentheses first. We subtract 6 from 2, getting –34. Then we multiply this result by 10 to get –340.
Next, we add this result to –32: –32 + (–340) = –372. So the final answer to the expression is –372.
which of the following inequality has solution set
carly has a soccer game every 4th day matt has a soccer game every 5th day. when will they first have a game oh the same day
Final answer:
To determine the first time Carly and Matt will have a soccer game on the same day, we find the least common multiple (LCM) of 4 and 5, which is 20. Thus, they will both have a game on the 20th day.
Explanation:
The question is asking when Carly, who has a soccer game every 4th day, and Matt, who has a soccer game every 5th day, will both have a game on the same day. This is a problem that can be solved using the concept of the least common multiple (LCM). The LCM of two numbers is the smallest number that is a multiple of both numbers. To find when Carly and Matt will have a soccer game on the same day, we need to find the LCM of 4 and 5.
List the multiples of 4 (4, 8, 12, 16, 20, ...) and 5 (5, 10, 15, 20, ...).
Identify the smallest multiple that is common to both lists, which would be 20.
Therefore, the first day Carly and Matt will have a game on the same day is the 20th day.