Answer: 1/6 of a pound.
Step-by-step explanation: Divide 2/3 pounds by 4 people. To do this, multiply 2/3 by 4's reciprocal, which is 1/4. The reciprocal of a number is basically the reverse form of that number. 4 as a fraction is 4/1. The reciprocal of that would be 1/4. Hopefully you understand.
2/3 times 1/4 is 2/12. Simplify by dividing 2/12 by 2 and 12's greatest common factor: 2. 2 divided by 2 is 1; 12 divided by 2 is 6. Your final answer is 1/6.
. (6.03) Which of the following best describes the expression 6(y + 3)? (4 points) The product of two constant factors six and three plus a variable The sum of two constant factors six and three plus a variable The product of a constant factor of six and a factor with the sum of two terms The sum of a constant factor of three and a factor with the product of two terms
Answer:
B The sum of two constant factors six and three plus a variable
Step-by-step explanation:
Question: 3 of 20
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Sean ears $300 in a regular work week. A regular work week for Sean consists of 5 work days with 8 hours a day. How much money
does Sean eam each hour?
Answer:
Sean earns $7.5 in each hour.
Step-by-step explanation:
Given:
Money earned by Sean = $300
Number of hours worked in a day = 8 hrs
Number of days of work in a week = 5
We need to find Money earned in each hour.
First we will find Total hours work in a week.
Total hours work in a week is equal to Number of hours worked in a day multiplied by number of days work in a week.
Framing in equation form we get;
Total hours worked in a week = [tex]8\times5 = 40\ hrs[/tex]
Now we will find money earned for each hour.
Money earned each hour will be calculated by Dividing Total Money earned in a week by Total number of hours worked in a week.
Framing in equation form we get;
Money earned each hour = [tex]\frac{300}{40} = \$7.5[/tex]
Hence Sean earns $7.5 in each hour.
The sum of the digits of a three-digit number is 16 .the tens digit is two more than the units digit and the unit digit is triple the hundreds digit .what is the number?
Answer:
286
Step-by-step explanation:
If the three-digit number is xyz, then:
x + y + z = 16
y = z + 2
z = 3x
Substitute the third equation into the second:
y = 3x + 2
Substitute this and the third equation into the first:
x + (3x + 2) + (3x) = 16
7x + 2 = 16
7x = 14
x = 2
y = 3x + 2 = 8
z = 3x = 6
The number is 286.
The three-digit number where the sum of its digits equal 16, the tens digit is two more than the unit's digit, and the unit's digit is triple the hundreds digit is 286.
Explanation:The question involves finding a three-digit number where the sum of the digits is 16, the tens digit is two more than the unit's digit, and the unit's digit is triple the hundreds digit. Let's represent the hundreds digit as 'h,' the tens digit as 't', and the units digit as 'u'. According to the problem, we have three equations:
h + t + u = 16 (sum of the digits)t = u + 2 (tens is two more than units)u = 3h (units is triple hundreds)Substituting the third equation into the first, we get h + (3h + 2) + 3h = 16, which simplifies to 7h + 2 = 16, leading to h = 2. Thus, u = 3h = 6, and t = u + 2 = 8. Therefore, the three-digit number is 286.
Determine if the graphed function is linear or nonlinear.
Select from the drop-down menu to correctly complete the sentence.
The graphed function is _____________.
Answer:
non linear
Step-by-step explanation:
linear means a straight line graph. This type is quadratic since it has a parabola.
Answer:
The graphed function is nonlinear.Step-by-step explanation:
When we talk about linear and nolinear funciton, we can distinguish them by using their graphs.
A linear function has a linear behaviour, that means it's representes by a straight line.
A nonlinear function doesn't have a straight line behaviour.
That's the easiest way to distinguish wether is a linear function or nonlinear.
Therefore, in this case, you can observe that the graph is not a straight line, that means the function is nonlinear.
Slove for x: -2.863.98 - 0.8y = -2.86
Answer:The answer is Zero:(0)
Step-by-step explanation:
Answer:
y=0.067825
Step-by-step explanation:
A dress that costs x dollars is on sale for 30% off. Write an expression to represent the sale price, in dollars, of the dress.
The expression to represent the sale price, in dollars, of the dress is x - 0.3x dollars
Solution:Given that dress that costs "x" dollars is on sale for 30% off
To find: expression to represent the sale price, in dollars, of the dress
Let the original price of dress is "x"
It is on sale for 30% offer. Which means 30 % of "x" is offer price
Sales price means the price of dress after offer
So the sales price is written as original price - offer price
Sales price = original price - offer price
Sales price = x - 30 % of x
On simplification we get,
[tex]\text {Sales price }=x-\frac{30}{100} \times x=x-0.3 x[/tex]
Thus the sales price of dress is x - 0.3x dollars
Logan's e-reader sent a notification saying that he has completed 75% of the e-book.
Logan has read 180 pages and he wants to know the total number of pages in the e-book.
Answer:
The total number of pages in the e-book is 240.
Step-by-step explanation:
Given:
Logan has completed 75%
Logan has read 180 pages
To Find:
The total number of pages in the e-book= ?
Solution:
Let X be the total number of pages on the e-book
then
=> 75% of X = 180
Now lets find the value of X
X = [tex]\frac{180}{75\%}[/tex]
X = [tex]\frac{180}{\frac{75}{100}}[/tex]
X = [tex]\frac{180}{0.75}[/tex]
X = 240
The total number of pages in the e-book is 240.
To find the total number of pages in the e-book, we can set up a proportion based on the information given. Logan has read 75% of the e-book, which corresponds to 180 pages. We can represent this as:
75% of total pages = 180 pages
To find the total number of pages, we can express the percentage as a fraction and solve for the total number of pages (let's denote this as P):
[tex]\(\frac{75}{100} \times P = 180\)[/tex]
Now, we can solve for P:
[tex]\(P = \frac{180 \times 100}{75}\)[/tex]
[tex]\(P = \frac{180}{0.75}\)[/tex]
[tex]\(P = 240\)[/tex]
Therefore, the total number of pages in the e-book is 240.
Which equation is equivalent to 8x + 3 ( x +5) -5 (x-4) = 2
The detailed answer explains how to simplify and solve the expression 8x + 3(x + 5) - 5(x - 4) = 2 step by step.
Explanation:To find the equation equivalent to 8x + 3(x + 5) - 5(x - 4) = 2, we need to expand and simplify the expression step by step:
Distribute the terms: 8x + 3x + 15 - 5x + 20 = 2Combine like terms: 6x + 35 = 2Isolate x: 6x = -33Solve for x: x = -33/6 or x = -11/2D/3+10=14 solve the equation
Answer: d = 12
Step-by-step explanation: First isolate d/3 by subtracting 10 from both sides of the equation. That gives you d/3 = 4.
From here, since d is being divided by 5, multiply both sides of the equation by 5 so d = 12.
The difference between 2 times x and y is less than or equal to 1
Answer:
???
Step-by-step explanation:
Answer:
Step-by-step explanation:
2 times x -------> 2x
The difference between 2 times x and y is 2x - y
The difference between 2 times x and y is less than or equal to 1:
2x - y<= 1
The Chinstrap Penguin about 68.58 centimeters tall whilethe Emperor penguin is 1.143 meters tall. How many centimeters taller is theEmperor penguin than the chinstrap pengin
Answer:
45.72 cm
Step-by-step explanation:
Given: Height of the Chinstrap Penguin= 68.58 cm
Height of the Emperor penguin= 1.143 meter
Lets calculate the height of Emperor penguin in centimeter.
Remember, 1 meter = 100 centimeter
∴ Converting the unit of height of Emperor penguin.
[tex]1.143\times 100= 114.3\ cm[/tex]
∴ Height of Emperor penguin is 114.3 cm.
Now, comparing the height of Chinstrap penguin and Emperor penguin´s height.
[tex]114.3\ cm - 68.58\ cm= 45.72\ cm[/tex]
∴ The Emperor penguin is 45.72 cm taller than Chinstrap penguin.
ASAP, NEED HELP ASAP
Answer:
OPTION C
Step-by-step explanation:
If SOLUTION A has 4 cups then SOLUTION B has 2. If SOLUTION A has 8 then SOLUTION B has 4.
Note that for every 2 cups of Solution A, we have 1 cup of Solution B.
So, OPTION A is incorrect.
If there are 4 cups of Solution A, then there are 4 + 2 cups in total.
That means the ratio of cups of SOLUTION A to the total number of cups is:
4 : 6 = 2 : 3
Similarly, 8 : 12 = 2 : 3
And, 12 : 18 = 2 : 3
And, 16 : 24 = 2 : 3
So, we see that the ratio is 2 : 3.
Therefore, OPTION C is the correct answer.
Answer:
kmjinhuygtfdrs
Step-by-step explanation:
There are 4 red and 6 green marbles in a jar. What is the probability of drawing two green marbles, with replacement?
2/5
9/25
3/5
4/25
Select EACH correct answer
Answer:
[tex]\frac{9}{25}[/tex]
Step-by-step explanation:
Number of red balls = 4
Number of green balls = 6
Total number of balls = 6+4 =10
Probability of drawing a green marble is given as
⇒ [tex]\frac{Number\ of\ green\ balls}{Total\ number\ of\ balls}[/tex]
⇒ [tex]\frac{6}{10}[/tex]
The ball is replaced after drawing.
Probability of drawing a green ball a second time will be:
⇒ [tex]\frac{Number\ of\ green\ balls}{Total\ number\ of\ balls}[/tex]
⇒ [tex]\frac{6}{10}[/tex]
Thus, probability of drawing 2 green balls with replacement can be given as:
⇒ (Probability of drawing a green marble) [tex]\times[/tex] (Probability of drawing a green ball a second time)
⇒ [tex]\frac{6}{10}\times\frac{6}{10}[/tex]
⇒ [tex]\frac{36}{100}[/tex]
Simplifying fraction by dividing numerator and denominator by their GCF.
⇒ [tex]\frac{36\div 4}{100\div 4}[/tex]
⇒ [tex]\frac{9}{25}[/tex] (Answer)
Joan has 3/4 yards of fabric. She needs 2/3 if that amount to make a small flag. How much fabric will she need in all?
Answer:
1/2 of a yard
Step-by-step explanation:
Here you have to find 2/3 of 3/4.
In this case "of" means multiplication.
2/3 × 3/4 = 2×3 / 3×4 = 6/12 = 1/2
Mathematics MH help ty
When multiplying (or dividing) both sides of an inequality by a negative number, the inequality symbol must be reversed/flipped, regardless of how many steps taken when solving the inequality.
If you were to multiply (or divide) by a positive number, then you would not have to reverse/flip the inequality symbol.
The question in the image is incomplete, so I cannot provide a true/false answer, but this information should be what you need to easily choose an answer.
Let me know if you need any clarifications and happy studying~
Answer:
False
Step-by-step explanation:
only flip symbol when dividing by a negative number
What is the slope of a line that is perpendicular to y = 1/8x - 9?
Answer:
-8
Step-by-step explanation:
Perpendicular means negative reciprocal of the slope.
Negative reciprocal of 1/8 is -8.
The slope of a line that is perpendicular to y = 1/8x - 9 is -8. This is because perpendicular lines have slopes that are negative reciprocals of each other.
Explanation:In Mathematics, particularly in algebra, the slope of a line is a measure of the steepness of the line. It's also a central part of the line's equation. In the equation you provided, y = 1/8x - 9, the slope of this line is 1/8.
The property of perpendicular lines is that their slopes are negative reciprocals of each other. The negative reciprocal of 1/8 is found by flipping the fraction to get 8/1 and changing the sign to get -8. Therefore, the slope of a line that is perpendicular to y = 1/8x - 9 is -8.
Learn more about Slope of Perpendicular Lines here:https://brainly.com/question/35632758
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help me solve this
4 — (x-2) (x+2)
Using [tex](x-a)(x+a)=x^2-a^2[/tex] to obtain
[tex]4-(x^2-4)=4-x^2+4=8-x^2[/tex]
Hope this helps.
Jack puts 2 photos on each of 7 pages of his photo album. How many photos does he use? Complete the jumps on the number lineby adding arrows.
Answer:
14
Step-by-step explanation:
If Jack puts 2 photos per page and there are 7 pages 2x7=14 or 2+2+2+2+2+2+2=14 on a number line it would jump two lines each time.
The number of photos that he uses to fill the photo album will be 14.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
Jack puts 2 photos on each of the 7 pages of his photo album.
Then the number of photos that he uses will be given by the multiplication of the numbers 2 and 7.
⇒ 2 x 7
⇒ 14
Thus, the number of photos that he uses will be 14.
More about the Algebra link is given below.
https://brainly.com/question/953809
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A square on a coordinate plane has one vertex at (2.5,33) and a perimeter of 14 units. If all of the vertices are located in Quadrant I, what are the coordinates of the other 3 vertices? Please show how you solved this in a step-by-step order.
Answer:
A(2.5,36.5)
D(6,36.5)
and
C(6,33)
Can someone help me with process 1, please?
Answer:
Step-by-step explanation:
If x = 1; x + 3 = 1 + 3 = 4 (≠ 7)
If x = 2; x + 3 = 2 + 3 = 5 (≠ 7)
If x = 3; x + 3 = 3 + 3 = 6 (≠ 7)
If x = 4; x + 3 = 4 + 3 = 7 ( =7)
x + 3 = 7 is true when x = 4
at Sam's sandwich shop, toni ate 3/4 of a medium sandwich, Becky ate 3/4 of a small sandwich, and Mary jo ate 6/8 of a medium sandwich. explain why toni and Mary jo ate the same amount of sandwich, but toni and Becky ate different amounts
Answer:
Here's what I get
Step-by-step explanation:
Let's assume that the sandwiches are circular (because I couldn't find a good rectangular fraction maker.
Toni ate ¾ of a medium sandwich (Figure below).
Mary Jo ate ⁶/₈ of a medium sandwich.
Mary Jo ate the same amount as Toni, because ¾ = ⁶/₈
Becky ate ¾ of a small sandwich and Toni ate ¾ of a medium sandwich.
Becky ate less than Toni, because ¾ of a small amount is less than ¾ of a large amount.
What is the solution to the inequality 10.5x > 147
Answer:
x > 14
Step-by-step explanation:
10.5x > 147 (divide both sides by 10.5)
x > 147 / 10.5
x > 14
Inequalities help us to compare two unequal expressions. The solution to the inequality 10.5x > 147 is 14.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
The solution of the inequality can be solved as shown below,
[tex]10.5x > 147\\\\x>\dfrac{147}{10.5}\\\\x>14[/tex]
Thus, the solution to the inequality 10.5x > 147 is 14, which means the value of the x must be greater than 14.
Hence, the solution to the inequality 10.5x > 147 is 14.
Learn more about Inequality:
https://brainly.com/question/19491153
4x/2+11x-20=0
Solve for quadratic formula
Answer:
I think -4 and 1.25
Step-by-step explanation:
FIND THE DISTANCE....Brainlest and extra points.
Answer:BC=11.77 mi
Step-by-step explanation:
cosα=5.71mi/AC
cos61°=5.71mi/AC
0.485=5.71mi/AC
AC=11.77mi
Answer:
BC=10.28
Step-by-step explanation:
PLEASE....I need help on this!
15,567 because yeah i know math
All of the following are equivalent except _____.
-5(x - 1)
-5x + 5
5 - 5x
(5 - 5)x
Please explain how you got your answer, thanks
(5 - 5)x because it equals -5x+5x which is 0
all the others equal -5x +5
Answer:
(5-5)x
when you distribute the x here it becomes 5x-5x which is 0 this is the only problem that equals 0
In parallelogram LMNO, MP = 21 m, LP = (y + 3) m, NP = (3y – 1) m, and
OP = (2x – 1) m.
Parallelogram L M N O is shown. Diagonals are drawn from point M to point O and from point L to point N and intersect at point P.
What are the values of x and y?
Answer:
x = 11 m
y = 2 m
Step-by-step explanation:
The given figure is parallelogram, with MP = 21 m, LP = (y + 3) m, NP = (3y – 1) m, and OP = (2x – 1) m
It is property of parallelogram that, the diagonals bisect each other.
Thus, from above,
MP = OP and LP = PN
Thus,
[tex]2x-1 = 21[/tex]
[tex]2x = 22[/tex]
[tex]x = 11[/tex]
and,
[tex]y+3 = 3y-1[/tex]
[tex]2y = 4[/tex]
[tex]y = 2[/tex]
Thus, x = 11 m and y = 2 m
Answer:
D. x = 11 m, y = 2 m
Step-by-step explanation:
teddy brings snacks and ice cream while they wait for santa to arrive on christmas eve if the ice cream has 1250 calories for 5 servings what is the unit rate
Answer:
The unit rate is 250 calories per servings.
Step-by-step explanation:
Given:
The ice cream has 1250 calories for 5 servings.
Now, to find the unit rate.
So, by using unitary method:
If the 5 servings of ice cream has 1250 calories.
Then, to get the calories in 1 servings we divide number of calories by the number of servings:
= [tex]Number\ of\ calories \div number\ of\ servings[/tex]
[tex]=1250\ calories\div 5\ servings[/tex]
[tex]=250\ calories.[/tex]
Thus, in 1 servings there are 250 calories.
Therefore, the unit rate is 250 calories per servings.
What is 2 5/10 x 3/4
Answer: 1.87500 or 15/8 simplified 1 7/8
Step-by-step explanation:
Answer:
1 7/8
Step-by-step explanation:
So you want to make 2 5/10 into a improper fraction which is 25/10. so 25/10*3/4 you need to do cross cancel but you can't cross cancel so the answer is just going to be 15/8 which is also 1 7/8 hope this helps ;))
A stack of cards contains 17 red cards and 9 black cards. What are the odds against drawing a red card?
A. 9:17
B. 17:9
C. 9:26
D. 17:26
To find the probability of choosing a red card we need to add both the cards so we have a total amount of cards.
17 + 9 = 26
Since, the question is asking the probability of choosing a RED card then the probability is a 17/26 chance. The answer choices are written as ratios. The ratio that is the same to 17/26 is [ D. 17:26 ]
Best of Luck!