A number with one or more digits to the right of a decimal point is called a
If y − 1 = 4x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?
{(1, 4), (2, 8), (3, 12)}
{(4, 1), (8, 2), (12, 3)}
{(0, 1), (1, 5), (2, 9)}
{(1, 0), (5, 1), (9, 2)}
Answer: {(0, 1), (1, 5), (2, 9)}
Step-by-step explanation:
Given linear equation: y-1=4x which can be rewritten as
y=4x+1
To find the set which represents possible inputs and outputs of the function. Let's check all the options
A. {(1, 4), (2, 8), (3, 12)}
at x=1
y=4(1)+1
⇒y=5≠4
Thus this set is not the required set.
B. {(4, 1), (8, 2), (12, 3)}
at x=4
y=4(4)+1
⇒y=16+1=17≠1
Thus this set is not the required set.
C.{(0, 1), (1, 5), (2, 9)}
at x=0
y=4(0)+1
⇒y=1
Thus this set is the required set represents possible inputs and outputs of the function.
D. {(1, 0), (5, 1), (9, 2)}
at x=1
y=5≠0
Thus this set is not the required set.
what is 3a minus 5 equals -14
use the simple interest formula to find the ending balance
$4000 at 6.5% for 5 years
i took the test it is actually 5300.00
Write a problem you can use to make a table strategy to solve then solve the problem
Answer:
A Cadillac travels at 70 mph. A Buick travels at 60 mph. How long does it take to a Cadillac to catch up the Buick that started travelling one hour earlier?
Step-by-step explanation:
A Table strategy needs an understanding of the problem. In addition to this strategy provides a clear vision of the problem.
Let's write it in a row, for the Cadillac. The second one for the Buick.
Plugging in values, here it is a Table like
[tex]\left\{\begin{matrix}Hour/Distance &1&2&3&4&5&6 \\ Cadillac&0&70&140&210&280&350 \\ Buick&60&120&180&240&300&360 \end{matrix}\right.[/tex]
Since the smallest distance between them is given in 6 hours, (10 miles). This is clearly the answer.
Each movement can be described as a function the Cadillac
y=70x
And the Buick: y=60x
And plugging values for x, you can test it alternatively than using table strategy.
What is 0.3% written as a decimal?
A 0.003
B 0.3
C 3
D 30
Answer:
0.003%
Step-by-step explanation:
you have to multiply this number by 100 which makes 0.3%
damon kayaks on a river near his home. he plans to kayak a total of 6.4 miles. Damon kayaks at an average speed of 1.6 miles per hour. How many hours will it take Damon to kayak the 6.4 miles?
Damon will need 4 hours to kayak 6.4 miles on the river near his home, given his average speed of 1.6 miles per hour.
To calculate how many hours it will take Damon to kayak a total of 6.4 miles if his average kayaking speed is 1.6 miles per hour. To solve this, we can use the formula for time which is distance divided by speed. In this case, the distance is 6.4 miles and the speed is 1.6 miles per hour. Therefore:
Time = Distance \/ Speed = 6.4 miles \/ 1.6 miles per hour = 4 hours.
It will take Damon a total of 4 hours to kayak the 6.4 miles on the river near his home.
Al lives 30 mi. from Ann. At the same time, they start biking toward each other on the same road. Al’s constant rate is 12 mph. Ann’s is 8 mph. How long will it take them to meet? A. 0.5 hour B. 1 hour C. 1.5 hours D. 2.5 hours
Answer:
The answer is C.) 1.5 hours
Step-by-step explanation:
I took a quiz and according to that its correct
Explain how you can use doubles when multiplying with4 to find 4x8?
To multiply 4 by 8 using doubles, you double the numbers sequentially (4 to 8, 8 to 16, 16 to 32) to reach the desired result of 32. Moreover, when comparing the area of two squares, where one has a side length that is double the other, the area of the larger square is four times that of the smaller square.
Explanation:To multiply 4 by 8 using doubles, you can double 4 to get 8, and then double 8 to get 16, and then double again to get 32. So essentially, you've found that 4 x 2 = 8, then took that result and found 8 x 2 = 16, and finally, you took that result and found 16 x 2 = 32, which is the same as 4 x 8. This method of doubling allows you to use simpler multiplication facts you may already know well, like multiplying by 2, to find the answer to more complicated problems.
In the context of scale factors and area comparisons, if you have a square with a side of 4 inches, and another square with sides twice as long (4 inches x 2 = 8 inches), the area of the second square would be 8 inches x 8 inches, which is 64 square inches. Compared to the first square, which has an area of 4 inches x 4 inches (16 square inches), the second square is larger by a factor of four (64 / 16 = 4). This demonstrates how the area increases by the square of the scale factor, not just by the scale factor itself.
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marcia puts 2 slices of cheese on each sandwich. she makes 4 cheese sandwich. how many slices of cheese does marcia use in all?
Emma pays $108 every six weeks for tennis lessons. What is the price per year for tennis lessons?
Answer:
$936
Step-by-step explanation:
Number of weeks in 1 year= 52 weeks
Cost of every six week for tennis lesson= $108
We have to find the price per year for tennis lessons
Number of times he will pay for the tennis lessons= [tex]\frac{52}{6}[/tex]
Total price per year for Tennis lessons= [tex]\frac{52}{6}[/tex] × 108
Total price per year for Tennis lessons= 52 × 6
Total price per year for Tennis lessons= $ 936
Hence, the correct answer is $ 936
125 invitations to 75 invitations
Marcie bought a 50-foot roll of packing tape. she used two 8 5/6 foot lengths. how much tape is left on the roll
lisa paid $18 for 9 cupcakes how much do 6 cupcakes cost?
which number is greater 56.01 56.10 or 56.011
If a number in the numerator of a unit is 1, what does this indicate about the equivalent unit rates? Give an example.
Algebra please help out
If the number in the numerator of a unit rate is 1, what does this indicate about the equivalent unit rates? Please help answer and give an example. Thanks
November 18, 2014 by Steph
Math
If the number in the numerator of a unit rate is 1, what does this indicate about the equivalent unit rates? give an example
November 23, 2015 by Wendy
Math
If the number in the numerator of a unit rate is 1 what does this indicate about the equivalent unit rates give an example
December 8, 2015 by Amber
math/unit rate
please help me find the definition for unit rate. It depends upon what kind of unit. Go to www.google.com and type in unit rate. There is one source there for hotel unit rates, another for unit rates for the medical field, etc. You may also go to www.dictionary.com and type in...
September 26, 2006 by hannah
unit rate
the unit price of an item at a grocery store is a familiar example of a unit rate. find the unit price of each box of cereal. a. $3.95 for a 20oz. b.$4.29 for a 24 oz. c.$2.25 for a 12 oz. Divide the price by the weight in ounces for the unit rate. For example, For a 20 oz box...
November 28, 2006 by lisa
Unit Rates
Find each unit rate. - 20 mi in 5h - 78 mi on 3 gal Please and Thank-you I need HELP!!!!!!!!!! same answer as I gave to Janie 400 miles in 5 hours
January 10, 2007 by Janbowier
When the number in the numerator of a unit rate is 1, it indicates that the unit rate is equivalent to the value of the denominator alone. In other words, it signifies that the quantity being measured is directly proportional to the value of the denominator.
For example, consider a unit rate of "1 mile per hour." Here, the numerator (1 mile) indicates that for every 1 unit of the denominator (1 hour), the distance covered is 1 mile. So, if a car travels at a speed of 1 mile per hour, it means the car covers a distance of 1 mile in 1 hour.
Similarly, let's say we have a unit rate of "1 gallon per minute" for the flow rate of water from a faucet. This implies that for every 1 unit of time (1 minute), the faucet dispenses 1 gallon of water. Therefore, if the faucet runs at a rate of 1 gallon per minute, it means it releases 1 gallon of water every minute.
In summary, when the numerator of a unit rate is 1, it indicates a direct relationship between the quantity being measured and the value of the denominator alone. This relationship simplifies the understanding of the unit rate and its application in various contexts.
16 is 20% of what number?
dividing mixed numbers
What percent of 25 is 12?
Answer:
48%
Step-by-step explanation:
its just that booooooommmmm
The product of r and 9 divided by 2 is equal to 27 what is the value of r?
Answer: r = 6
Step-by-step explanation: We would start by making an equation for this which would be 9r / 2 = 27. We need to get r by itself so we first multiply 2 on both sides by 2 to get rid of that pesky 2.
[tex]\frac{9r}{2}[/tex] * 2 = 27 * 2
9r = 54
Now we have to get rid of the 9 and since this is multiplication, we have to divide 9 on both sides.
[tex]\frac{9r}{9}[/tex] = [tex]\frac{54}{9}[/tex]
This would give us r = 6.
The value of r is found by setting up an equation from the given statement, solving which gives r = 6.
To solve for the value of r when the product of r and 9 divided by 2 is equal to 27, we can set up the following equation: (r imes 9) / 2 = 27. Multiplying both sides by 2 to eliminate the denominator gives us r imes 9 = 54. We then divide both sides by 9 to solve for r, resulting in r = 6.
A Chemist has 100g of 25% acid solution. How much of these solution he needs to drain and replaced with 70% acid solution to obtain 100g of 60% acid solution?
He needs to drain about 78 grams of 25% acid solution
Further explanationOrder of Operations in Mathematics follow this following rule :
ParenthesesExponentsMultiplication and DivisionAddition and SubtractionThis rule is known as the PEMDAS method.
In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.
Let us tackle the problem !
[tex]\texttt{ }[/tex]
Given:
A Chemist has 100 g of 25% acid solution.
Let : The mass of the solution that need to be drained = x grams
[tex]\texttt{mass of acid from 25\% solution} = m_1 = 25\% \times (100-x) \texttt{ g}[/tex]
[tex]\texttt{ }[/tex]
x grams of 70% acid solution is added.
[tex]\texttt{mass of acid from 70\% solution} = m_2 = (70\% \times x) \texttt{ g}[/tex]
[tex]\texttt{ }[/tex]
Final solution → 100 g of 60% acid solution
[tex]\texttt{total mass of acid} = m_1 + m_2[/tex]
[tex]60\% \times 100 = (25\% \times (100-x)) + (70\% \times x)[/tex]
[tex]60 = 25 - 25\%x + 70\%x[/tex]
[tex]60 - 25 = 45\%x[/tex]
[tex]35 = 45\%x[/tex]
[tex]x = 35 \div 45\%[/tex]
[tex]x = 77\frac{7}{9} \texttt{ g}[/tex]
[tex]x \approx 78 \texttt{ g}[/tex]
[tex]\texttt{ }[/tex]
Learn moreInfinite Number of Solutions : https://brainly.com/question/5450548System of Equations : https://brainly.com/question/1995493System of Linear equations : https://brainly.com/question/3291576Student's Shirt : https://brainly.com/question/909783Answer detailsGrade: Middle School
Subject: Mathematics
Chapter: Percentage
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent , cookies , chocolate , chip , paper , fourth , pieces , Number , 51 , 33 , 1/3
Tommy goes out for lunch and he can choose a hamburger, grilled cheese, a hot dog, or pizza. Tommy also has the choice of french fries , fruit or applesauce for his side. For his drink, Tommy can have milk, juice, or soda. How many different combinations can Tommy create for his lunch.
To calculate the total lunch combinations Tommy can create, we multiply his options for main dish (4), side (3), and drink (3), resulting in 36 different combinations. Making healthier choices, like water over soda or smaller portions, supports long-term health.
When considering the various combinations Tommy can create for his lunch, we employ the fundamental counting principle. This principle states that if there are 'n' ways to do one thing, and 'm' ways to do another, then there are n*m ways to do both. Applying this to Tommy's choices:
He has 4 options for the main dish (hamburger, grilled cheese, hot dog, or pizza),3 options for the side dish (french fries, fruit, or applesauce), and3 options for the drink (milk, juice, or soda).To find the total number of different lunch combinations Tommy can create, we multiply the number of choices for each category:
Total combinations = 4 mains * 3 sides * 3 drinks = 36 different combinations.
When making food choices, the keys to healthy eating include knowing what you're consuming and selecting options that contribute to long-term health. Opting for nutrient-dense foods over calorie-rich and nutrient-poor choices is important. For example, selecting water instead of soda, a smaller portion of fries, or adding a piece of fruit can make a significant difference in calorie intake and nutritional value.
By choosing grilled chicken over fried items, and being cautious of high-calorie dressings and sauces, it's possible to find healthier options even when dining out. The overall goal is to make informed decisions that support a healthy lifestyle.
Use operations of decimal, fraction, and percent numbers and your models from Part (b) to solve the following application problems. In your final answer, include all of the necessary calculations.
Equation: $157.30 × 10%
3. A family dines in a popular franchise restaurant. They plan to use a coupon that will give them a discount of 10% off of their total dinner bill, not including applicable sales tax or their server’s tip. The bill totals $157.30 before tax and tip. What is the new total after the server applies the 10% off coupon?
To find the new total after a 10% discount on a $157.30 dinner bill, you multiply $157.30 by 0.10 to get the discount amount of $15.73. Then subtract the discount from the original bill to get the new total, which is $141.57.
Explanation:To calculate the new total after applying a 10% discount to a $157.30 dinner bill, we first need to find the amount of the discount. To do this, we convert the percent to a decimal by dividing by 100. Therefore, 10% as a decimal is 0.10. Next, we multiply this decimal by the total bill amount.
$157.30 × 0.10 = $15.73
This value represents the amount of discount the family will receive. To find the new total, we simply subtract this discount from the original total bill amount.
$157.30 - $15.73 = $141.57
Thus, the new total after applying the 10% discount is $141.57.
What is 0.64 as a whole number?
Gavin's anemometer measures the wind speed at 44.14 kilometers per hour. 4 times faster than the wind speed 5 hours ago.
question: what was the wind speed 5 hours ago?
Tara has $2,000 in her savings account. David has one-tenth as much as Tara in his savings account. How much does David have in his savings account?
David has $200 in his saving account.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given, Tara has $2,000 in her savings account.
And David has one-tenth as much as Tara in his savings account.
To find the amount of David's saving account:
We find the 1/10 part of 2000,
Amount of David's saving account = tenth part of Tara's amount
= 1/10 x 2000
= $200
Therefore, David have $200.
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A tool set on sale for $424.15. The original price of the tool set was $4.99. What percent of the original price is the sale price?
An “A” train leaves a subway station every 12 minutes. An “E” train leaves every 9 minutes. If both trains just left the station on parallel tracks, when will both leave the station together again?
A. in 108 minutes
B. in 36 minutes
C. in 72 minutes
D. in 24 minutes
B. In 36 minutes because 12×3=36 and 9×4=36 and this is the first number they share.
The A train and the E train will both leave the station together again in 36 minutes. Hence the correct option is B.
To find out when both the A train and the E train will leave the station together again, we need to calculate the Least Common Multiple (LCM) of their departure intervals, which are 12 minutes for the A train and 9 minutes for the E train. To find the LCM, we list multiples of each:
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108...
Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108...
We can see that the common multiples of 9 and 12 are 36, 72, and 108. The smallest of these is 36 minutes, so that is the first time they will both leave the station together after initially departing at the same time.
Therefore, the correct answer is B. in 36 minutes.
calculate Alberts average speed
time:12 minutes
distance:100 meters
A 16 oz package of brown rice costs 79 cents and 32 oz package of white rice costs $3.49. Which package is a better buy