Answer:
27/16 the same as 1 11/16
Step-by-step explanation:
First, make it an improper fraction:
9/2 ÷ 8/3
now flip the second number and multiply across:
9/2 × 3/8 = 27/16
Gavin's dog had a litter of puppies. All of the puppies in this litter were either yellow or black. If there was one less black puppy, the ratio of yellow puppies to black puppies would be 2/3. If there was one more black puppy, the ratio of yellow puppies to black puppies would be 1/2. How many puppies were in the litter?
Answer:
Total number of puppies in the litter = 11
Step-by-step explanation:
Let the number of yellow puppies in the litter = y
And the number of black puppies in the litter = b
If there was one less black puppy, ratio of yellow to black puppies = [tex]\frac{2}{3}[/tex]
[tex]\frac{y}{b-1}=\frac{2}{3}[/tex]
2(b - 1) = 3y
3y - 2b = -2 -----(1)
If there was one more black puppy, ratio of yellow puppies to black puppies = [tex]\frac{1}{2}[/tex]
[tex]\frac{y}{b+1}=\frac{1}{2}[/tex]
2y = b + 1
2y - b = 1 -------(2)
Equation (1) - 2× equation (2)
(3y - 2b) - 2(2y - b) = -2 - 2
3y - 4y - 2b + 2b = -4
y = 4
From equation (1),
3×4 - 2b = -2
12 - 2b = -2
-2b = -14
b = 7
Total number of puppies in the litter = 7 + 4 = 11
Can someone help me out with this question? I’m stumped. First to answer will get Brainliest!
Answer:
D. reflection then rotation
Step-by-step explanation:
ABC then A'B'C' then A''B''C''
Following this order, you can see that ABC is reflected across the x-axis to create A'B'C'.
A'B'C' is then rotated anticlockwise to create A''B''C''. How do we know this? The vertexes are pointing in different directions. If it was translated then B' would have been facing downwards instead of facing to the right
Joe's Warehouse has banquet facilities to accommodate a maximum of 250 people. When the manager quotes a price for a
banquet, she is including the cost of renting the room plus the cost of the meal for each person. A banquet for 70 people
costs $1300. For 120 people, the cost is $2200. 10 points total
2
What does the independent variable represent in the situation? 1 point
The independent variable represents the cost of the meal for 70 people.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given when the manager quotes a price for a banquet, she is including the cost of renting the room plus the cost of the meal for each person. A banquet for 70 people costs $1300. For 120 people, the cost is $2200.
The expression will be written as,
Total cost = 70x + cost of rent
Therefore, the independent variable represents the cost of the meal for 70 people.
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a group of kids ate ¾ of a pizza if each kid ate a ⅛ piece of the whole pizza how many kids shared the pizza?
Answer:
6 kids ate pizza
Step-by-step explanation:
3/4 divided 1/8
Answer:
6 kids
Step-by-step explanation:
if each kid ate a 1/8 piece of the whole pizza => have [tex]\frac{3}{4}:\frac{1}{8}=6[/tex] (kids)
Which logarithmic equation is equivalent
to 25 = 32?
answer log232 = 5
Answer:
5
Step-by-step explanation:
EDG 2021
Total bill of four pairs of shoes came to $69.25 what is the average price for each pair of shoes
Answer:
Each pair is $17.31 average
Step-by-step explanation:
All you do is divide $69.25 by 4
Answer:17 or 18....17.31 that's what it gave me but if you rounded to the nearest number that could be your answer
Step-by-step explanation:
Perform the indicated operation 1/3 time 6/7
Answer:
Im pretty sure its 2/7
Step-by-step explanation:
you multiply across the top and the bottom so now you have 6/21. then you simplify it to be 2/7.
Answer:
2/7 or 0.285714 (repeating decimal)
A container of coffee is 1/6 full. The container contains 2/3 a pound of coffee. a. Write a division expression that represents the capacity of the container. b.Write a multiplication expression that represents the capacity of the container. c.Find the capacity of the container.
Answer:
(a) [tex]x= \frac 2 3\div \frac 1 6[/tex]
(b) [tex]x= \frac 2 3\times \frac 6 1[/tex]
(c) 4 pounds
Step-by-step explanation:
Let the capacity of the container is [tex]x[/tex].
The container has coffee which is 1/6 of the capacity of the container and the amount of coffee is 2/3 pounds.
So, 1/6 of the capacity of the container has 2/3 pound of coffee, i.e
[tex]\frac 1 6 \times x = \frac 2 3\cdots(i)[/tex]
(a) From the equation (i), the required division expression for the capacity of the box, x, is
[tex]x= \frac 2 3\div \frac 1 6[/tex]
(b) The division expression can be changed to multiplication expression by interchanging the numerator and the denominator of the divisor. So, from part (a), the required multiplication expression for the capacity of the box, x, is
[tex]x= \frac 2 3\times \frac 6 1\cdots(ii)[/tex]
(c) From equation (ii), the capacity of the box is
[tex]x= \frac 2 3\times 6= 4[/tex] pounds.
Put the numbers below in order from lowest to highest.
Please help!!! 50 points!!!
Answer: -23, -4, -126/42, .4, 5/6, square root of 36, 8, 17
Step-by-step explanation: you simplify all the fractions and square roots then determine the order.
A hairstylist schedules 1/4 our trim a customer's hair and 1/6 hour to style the customers hair hairstyles plans to work 3 1/3 hours each day for five days a week how many appointments can hairstylist schedule each week if the customer must be trimmed and styled A hairstylist schedules 1/4 hour trim a customers hair and 16 away to style the customers here he said his plans to work 3 1/3 hours each day for five days a week how many appointments can hairstylist schedule each week if the customer must be trained in styl
Answer:
40 appointments
Step-by-step explanation:
From the question, we have the following information
Amount of time to trim a customer's hair = 1/4 hour
Amount of time to style a customer's hair = 1/6 hour.
Total time spent on a customer
= (1/4 + 1/6)hour
L.C.M = 12
= (3 + 2/12) = 5/12 hour spent on a customer for trimming and styling
She plans to work for 3 1/3 hours per day for 5 days a week.
The total number of hours in a week that she works is calculated as:
3 1/3 × 5
= 10/3 × 5 = 50/3 hours = 23 1/3 hours
1 customer = 1 appointment = 5/12 hour
Therefore, the number of appointments she can schedule for 5 days a week if the customer must trim and style is calculated as:
5/6 hour = 1 appointment
50/3 hours = x appointments
Cross Multiply
5/6 hour × x = 50/3 hour × 1 appointment
x = 50/3 ÷ 5/12
x = 50/3 × 12/5
= 40 appointments.
The number of appointments she can schedule for 5 days a week if the customer must trim and style is 40 appointments.
Write the inequality:
2 times d is less than 10
Answer:
2d<10 or 10>2d
Step-by-step explanation:
Answer:
2d < 10
Step-by-step explanation:
Becky went scuba diving. The inequality statement compares the magnitude of two depths that she reached.
|−28|>|−3|
What does the inequality statement show?
Select from the drop-down menus to correctly complete the statement.
−28 is
Choose... Greater or less
than −3, but 28 m below sea level is a
Choose... greater or less
depth than 3 m below sea level.
Okay I got the answer, so -28 is (LESS) than -3, and 28m below sea level is a (GREATER) depth than 3m below sea level! i took the test and I got it right.
Step-by-step explanation:
Complete statement is as follows -
−28 is less than −3, but 28 m below sea level is greater depth than 3 m below sea level.
What is inequality?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Given is Becky who went scuba diving. She writes an inequality statement that compares the magnitude of two depths that she reached.
We have the following expression -
|- 28| > |- 3|
The absolute value of the expression, will be -
28 > 3
Now, 28 is greater than 3.
But is we compare -28 and -3, then -28 is less than -3.
Now, if we compare the depth of 28 m and 3 m below the sea level, then 28 m represent more depth as compared to 3 m.
Therefore, we can write the complete statement as -
−28 is less than −3, but 28 m below sea level is greater depth than 3 m below sea level.
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Which statement represents the parallel postulate in Euclidean geometry, but not elliptical or spherical geometry?
1 .Through a given point not on a line, there exists no lines parallel to the given line through the given point.
2.Through a given point not on a line, there exists exactly one line parallel to the given line through the given point.
3.Through a given point not on a line, there exists more than one line parallel to the given line through the given point.
4.Through a given point not on a line, there exists exactly three lines parallel to the given line through the given point.
Answer:
2.Through a given point not on a line, there exists exactly one line parallel to the given line through the given point.
Step-by-step explanation:
The object of "Euclidean geometry" (more commonly called "plane geometry") is, in principle, the study of the shapes and properties of natural bodies. However, geometry is not an experimental science since its object is not to study certain aspects of nature but a necessarily arbitrary reproduction of it.
After the definitions, Euclid then poses his famous postulates (his requests), the fifth of which has remained Euclid's postulate, often called axiom (or postulate) of parallels and which was the subject of much research and controversy as to its necessity:
Given two points A and B, there exists a line passing through A and B. Any segment [AB] can be extended into a straight line passing through A and B. For any point A and any point B distinct from A, we can describe a circle with centre A passing through B. The whole right angles are always equal to each other. By a point outside a line, we can draw a parallel and only one to this line.From the above explanation, we could deduce that the correct option is Option 2.
Answer:
The answer is B, Through a given point not on a line, there exists exactly one line parallel to the given line through the given point.
Step-by-step explanation:
Please help please help
A system of equations and its solution are given below system
System A
Solution: (-2,1)
To get system B below, the second equation in a system A was replaced by sum of that equation and the first equation in system A mutiplied by -2.
System B
5x - y = -11
A) The second equation in system B is 7x = 30. The solution to system B will be the same as the solution to system A.
B) The second equation in system B is 7x = 30. the solution to system B will not be the same as the solution to system A.
C) The second equation in system B is -7x = 14. The solution to system B will be the same as the solution to system A.
D) The second equation in the system B is -7x = 14. The solution to system B will not be the same as the solution to system A.
Each pitcher of power smoothie that Ginger makes has 2 scoops of pineapple, 4 scoops of strawberries, 1 scoop of spinach, and 1 scoop of kale. If Ginger makes 6 pitchers of power smoothies, how many scoops will she use in all? Which numerical expression can you write to find the number of scoops? Ginger will use scoops in all.
Given :
Each pitcher of power smoothie that Ginger makes has 2 scoops of pineapple, 4 scoops of strawberries, 1 scoop of spinach, and 1 scoop of kale.
To Find :
If Ginger makes 6 pitchers of power smoothies, how many scoops will she use in all.
Solution :
Let, Ginger makes x pitchers of power smoothies :
[tex]Total \ scoops = 2x+4x+x+x+6x[/tex]
Now, it is given that Ginger makes 6 pitchers of power smoothies.
Total scoops are :
[tex]T=2(6)+4(6)+6+6+6(6)\\\\T=84\ scoops[/tex]
Therefore, number of scoops Ginger used is 84.
Hence, this is the required solution.
Solve the equation for x, and enter your answer below.
6(x-4) + 7 = -5
Answer:
x=2
Step-by-step explanation:
Find the equation of the line parallel to the line y = 4x + 10, that goes
through the point (5, 1)
Answer: the slope of y=−4x+10 is: −4.
Step-by-step explanation:
Which expression will be easier to simplify if you use the community property to change the order of the numbers
Answer:
the answer is c beucse yses
Step-by-step explanation:
The price of bronze has increased by 10% per year from 2000. In the year 2000, Harry bought a bronze medal for $120. Which of the following equations can be used to represent the price of the medal x years after 2000?
Answer:
$120/x
Step-by-step explanation:
Answer:
120(1.1)^x
Step-by-step explanation:
it is a 10% increase, and think of it like this, what is after the decimal is the percentage increase, if there is a 1 the percentage increases, if it is a 0 then it decreases
how do I get the equation ?
Answer:
you get the equation by following the given patterns. y=2×+4
I have no idea what to do here.
Well hello, and welcome I guess? You can ask homework questions here and they usually get answered within 10 seconds to 6 hours.
Can anyone help me ?
Which of the following is the correct mathematical expression for:
Double a number and then increase it by five
A-) 2x + 5
B-)2x - 5
C-) 1/2x +5
D-) 1/2x-5
Answer:
A
Step-by-step explanation:
it's so hard to explain but I'm pretty sure A is the answer
F(x)= 3x^2+5x-8. Solve the quadratic equation
Answer:
[tex]\bold{x_1=1\ ,\quad x_2=-\dfrac83}[/tex]
Step-by-step explanation:
[tex]3x^2+5x-8=0\quad\implies\quad a=3\,,\ b=5\,,\ c=-8\\\\x=\dfrac{-5\pm\sqrt{5^2-4(3)(-8)}}{2\cdot3}=\dfrac{-5\pm\sqrt{25+96}}{6}=\dfrac{-5\pm\sqrt{121}}{6}\\\\ x_1=\dfrac{-5+11}{6}=1\ ,\qquad x_2=\dfrac{-5-11}{6}=\dfrac{-16}6=-\dfrac83[/tex]
The cost C, in dollars, for delivered pizza depends on the number p of pizzas ordered. The situation is represented by the function rule C equals 5 plus 9 p. Would the graph be continuous or discrete? Explain your answer.
Answer: discrete
Step-by-step explanation:
The graph would be discrete, because you can only order a whole number of pizzas. This means you cannot have 0.4 of a pizza or 3/5 of a pizza. Therefore, p can only be whole numbers, so you cannot draw a line through the points, since prices for non-whole pizzas are not possible.
PLSSS HELPPP I BEG , it’s geometry
Answer:
x = 30°, y = 90°
Step-by-step explanation:
[tex](y + x) + (y - x) = 180 \\ 2y = 180 \\ y = 90 \\ [/tex]
[tex]2x + y + x = 180 \\ 3x + 90 = 180 \\ 3x = 90 \\ x = 30[/tex]
A state lottery randomly chooses 8 balls numbered from 1 through 37 without replacement. You choose 8 numbers and purchase a lottery ticket. The random variable represents the number of matches on your ticket to the numbers drawn in the lottery. Determine whether this experiment is binomial. If so, identify a success, specify the values n, p, and q and list the possible values of the random variable x.
Answer: No, the experiment is not binomial
Step-by-step explanation:
From the formula for a binomial distribution :
nCx * p^k * q^(n - x)
n = number of trials (fixed)
x = number of success on trial
p = probability of success (which is the same for each trial).
q = (1 - p) = probability of failure (same for each trial)
Binomial experiment have binary outcome ; Either Success or Failure
The experiment described above :
Number of trials is satisfied (8 picks)
Binary outcome (matches on ticket or match does not exist).
Planets are constantly moving. In fact, the name planet means wanderer. What force(s) is responsible for the constant movement of the planets in our solar system?
A) inertia and gravity
B) gravity only
C) inertia only
D) friction
I know its not math
PLEASE HELP FAST. WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER
Answer:y=9
Step-by-step explanation: