Paula made this model to show the sum of two mixed numbers. Write the addition equation shown by the model and solve it.
You can write out the fraction names or use the forward slash (/) on your keyboard to represent the fraction bars.
A number line from zero to one partitioned into thirds. There is a gray rectangle above the number line stretching from zero to three and two thirds. To the right is a darker gray rectangle above the number line stretching from three and two thirds to six and one third.
Your answer:
Answers
Answer:
[tex]3\frac{2}{3} + 2\frac{2}{3} = 6\frac{1}{3}[/tex]
Step-by-step explanation:
Given
See attachment for number line
Required
Determine the model
From the attachment, we can see that each partition is 1/3
The gray rectangle covers 11 partitions.
So:
[tex]Gray = 11 * \frac{1}{3}[/tex]
[tex]Gray = \frac{11}{3}[/tex]
Express as a mixed number
[tex]Gray = 3\frac{2}{3}[/tex]
The black rectangle covers 8 partitions
So:
[tex]Black= 8 * \frac{1}{3}[/tex]
[tex]Black= \frac{8}{3}[/tex]
Express as a mixed number
[tex]Black= 2\frac{2}{3}[/tex]
So, the model is:
[tex]Gray + Black = Total[/tex]
Where Total is the point where the black rectangle stops
[tex]3\frac{2}{3} + 2\frac{2}{3} = 6\frac{1}{3}[/tex]
Related Questions
What values of the variables highlighted would create an equation infinitely many solutions
Answers
b = 2
I’m pretty sure
3. A square candy box has sides the
What is the candy box's area?
Answers
Step-by-step explanation:
you need to know something about numbers in order to answer this question
What is the average age of the porcupines at your zoo? What is the standard deviation? Round your answers to the nearest tenth.
Answers
Answer:
is there a pic?
Step-by-step explanation:
One grocery clerk can stock a shelf in 25 min. A second clerk requires 45 min to stock the same shelf. How long would it take to stock the shelf if the two clerks worked together?
Answers
Answer:
clerk A and clerk B can simultaneously stock a shelf in 180/13 minutes
Step-by-step explanation:
Let the first clerk be A and the second clerk be B
A can stock a shelf in 20 min
B can stock a shelf in 45 min
Consider the complete work to be W
A’s rate of stocking = per minute
B’s rate of stocking = per minute
When, A and B work simultaneously, rate of work done =
Total work done simulatenously = 180/13
Therefore, clerk A and clerk B can simultaneously stock a shelf in 180/13 minutes
Answer:
Step-by-step explanation:
The rate of each clerk is 1/25 and 1/45 respectively so together they can stock the shelf
t/25+t/45=1 (the least common multiple of 25 and 45 is 225)
t/25(9/9)+t/45(5/5)=1
(9t+5t)/225=1
9t+5t=225
14t=225
t=225/14 min
t=16 minutes (rounded to nearest minute)
( or 16 minutes and about four seconds :) )
The series converges by the Limit Comparison Test. Each term is less than that of a convergent geometric series. The series converges by the Limit Comparison Test. The limit of the ratio of its terms and a convergent p-series is greater than 0. The series diverges by the Limit Comparison Test. Each term is greater than that of the divergent p-series. The series diverges by the Limit Comparison Test. The limit of the ratio of its terms and the harmonic series is greater than 0.
Answers
Answer:
hello your question has some missing information attached below is the complete question
answer : The series diverges by the Limit Comparison Test. The limit of the ratio of its terms and the harmonic series is greater than 0.
Step-by-step explanation:
steps to determine if the series converges
step 1 : apply series limit comparison test
step 2 : consider Cauchy's convergence condition ; which states that ∑an converges if and only if for every ∈ > 0 there is a natural number N
attached below is the detailed solution
Can you explain to me how to do these multiplications please?
Answers
(3•2)= 6•1= 6
(2•1)= 2•3= 6
(1•3) = 3•2 = 6
2•3•5 = 30 - same thing as before
(2•3) = 6•5 = 30
(3•5) = 15•2 = 30
(2•5) = 10•3 = 30
4•2•7 = 56 -
(4•2) = 8•7 = 56
(7•4) = 28•2 = 56
(7•2) = 14•4 = 56
3•3•2 = 18 -
(3•3) = 9•2 = 18
(3•2) = 6•3 = 18
Typically you would go from left to right, but any way gets you to the same place. You just multiply the first two numbers then multiply the product of the final value
Hope this helps, have a good day
What is the circumference of the circle with a radius of 31
Answers
Answer:
circumference = 194.68
Step-by-step explanation:
c = π2r
c = (3.14)(2)(31) = 194.68
A female rabbit can give birth to over 40 baby rabbits a year. Suppose all of her offspring survived and reproduced, all of their offspring survived and reproduced, and so on. If that happened, in only eight years the mass of rabbits would exceed the mass of Earth!
So, why aren’t we overrun with rabbits? What keeps the rabbit population in check?
(It says Mathematics because I couldn't find the right subject!)
Answers
Answer:
rabbit predators >:)
Step-by-step explanation:
How many total hours did the girls spend cleaning their home
Answers
Answer:
it should be 12
Step-by-step explanation:
because 3x4=12
Answer: 12
Step-by-step explanation: each girl spent 3 hours cleaning, their was 4 girls so 4 x 3 = 12
1) Ms. Bonanno goes to the gym every 2 days. Ms. Zabo goes to the gym every
3 days. They both went to the gym on May 1. What is the next day Ms.
Bonanno and Ms. Zabo will be at the gym at the same day?
Answers
Answer:
may 6th
Step-by-step explanation:
2+3=5 so if they when on the 1st and 2 +3=5 1+5=6
Find the polynomial of degree 3 such that the coefficient of x2
is three less than the coefficient
of x3
; the coefficient of x is 3 times the coefficient of x2
; and the constant term is two more than
the coefficient of x3
. The sum of the coefficients is -4.
Answers
Answer:
1/5[8x³ –7x² –21x + 18]
Step-by-step explanation:
Let the polynomial be:
ax³ + bx² + cx + d
Where:
a => is the coefficient of x³
b => is the coefficient of x²
c => is the coefficient of x
d => is the constant term.
From the question given above,
Coefficient of x² (b) = a – 3 ..... (1)
Coefficient of x (c) = 3b ...... (2)
Constant term (d) = 2 + a ..... (3)
Sum of coefficient (a + b + c) = –4
a + b + c = –4
b = a – 3
c = 3b = 3(a – 3)
a + b + c = –4
a + (a – 3) + 3(a – 3) = –4
a + a – 3 + 3a – 9 = –4
Collect like terms
a + a + 3a = –4 + 3 + 9
5a = 8
Divide both side by 5
a = 8/5
Substitute the value of a into equation (1)
b = a – 3
a = 8/5
b = 8/5 – 3
b = (8 – 15)/5
b = –7/5
Substitute the value of b into equation (2)
c = 3b
b = –7/5
c = 3(–7/5)
c = –21/5
Substitute the value of a into equation (3)
d = 2 + a
a = 8/5
d = 2 + 8/5
d = (10 + 8)/5
d = 18/5
SUMMARY:
a = 8/5
b = –7/5
c = –21/5
d = 18/5
Thus, the polynomial:
ax³ + bx² + cx + d
8/5x³ + (–7/5)x² + (–21/5)x + 18/5
8/5x³ –7/5x² –21/5x + 18/5
1/5[8x³ –7x² –21x + 18]
Raul has $460 in his checking account. Each month, $45 is automatically deducted from his account to pay for his cell phone plan. He makes no other deposits or withdrawals. He wants to always have more than $100 in his account. What is the greatest number of months he can pay for his cell phone and still have more than $100 in his account?
7 months
8 months
9 months
10 month
Answers
Answer:
8 months
Step-by-step explanation:
because it's right just trust me
Answer:
8 months
Step-by-step explanation:
right on edge nuity <3
A sports announcer states that there are 65,000 fans in the stadium. Estimate the maximum noise level. Is this estimate reasonable? Explain your reasoning.
Answers
Question:
The scatter plot shows the maximum noise level when different numbers of people are in a stadium. The linear model is given by the equation y=1.5x + 22.7 where y represents maximum noise level and x represents the number of people, in thousands, in the stadium.
A sports announcer states that there are 65,000 fans in the stadium. Estimate the maximum noise level. Is this estimate reasonable? Explain your reasoning.
Answer:
[tex]y = 97522.7[/tex]
Step-by-step explanation:
Given
[tex]y = 1.5x + 22.7[/tex]
[tex]x = 65000[/tex]
Required
Find y
Substitute 65000 for x in the given equation
[tex]y = 1.5 * 65000 + 22.7[/tex]
[tex]y = 97500 + 22.7[/tex]
[tex]y = 97522.7[/tex]
It is reasonable because as the population increases, the noise level also increases
According to the graph, how much money is spent on education?
8 million
16 million
12 million
4 million
Answers
Answer:
16
Step-by-step explanation:
Simplify this fraction: 9/33
Answers
Answer:
3/11
Step-by-step explanation:
Both numbers are easily simplified by 3 and that's as far as it can go because 11 is a prime number
9÷3=3
33÷3=11
3/11=9/33
Answer:
3/11
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 9 and 33 is 3
Divide both the numerator and denominator by the GCD
9 ÷ 3
33 ÷ 3
Reduced fraction: 3/11
9/33 simplified gives you your answer which is 3/11
Write an that
5. Hog head cheese costs $2.15 per pound. ad equation best represents y, the total
cost of x pounds of Hog Head cheese?
Answers
Answer:
[tex]y = 25x[/tex]
Step-by-step explanation:
Given
[tex]Rate = 25[/tex]
Required
Cost of x pounds
To do this we simply multiply x by the rate
[tex]y =Rate * x[/tex]
[tex]y = 25 * x[/tex]
[tex]y = 25x[/tex]
If a punch bowl hold 216 ounces of punch how many 8 ounce glasses can be filled from the punch bowl
Answers
Answer:
27 glasses
Explanation:
216 divided by 8 is 27
What is the CIRCUMFERENCE of this pie?
Give an approximate answer by using 3.14 for π.
SHOW YOUR WORK!
Answers
Steps:
Circumference = 2πr
r = radius
8.1/2 = 4.05
2π(4.05) = 25.434 in
Question 4
12 marks
4.1 a. In each case find the unit cost and then state which is the better buy.
4 marks
6kg of potatoes for $2.45 or
15 kg of potatoes for $5.9 or
10 kg of potatoes for $3.92?
Answers
Answer:
The better buy is to buy 10 kilograms of potatoes at $ 3.92, since each kilogram costs $ 0.392.
Step-by-step explanation:
To find the cost per unit in each case and then state which is the better buy, the following calculations must be performed:
6kg of potatoes for $ 2.45:
2.45 / 6 = 0.408
15 kg of potatoes for $ 5.9:
5.90 / 15 = 0.393
10 kg of potatoes for $ 3.92:
3.92 / 10 = 0.392
Thus, the better buy is to buy 10 kilograms of potatoes at $ 3.92, since each kilogram costs $ 0.392.
Lucy bought a couch that cost $1,000.00. she bought it using her debit card. She forgot she only has $900 in her checking account. What should lucy be worried about? 1) how much tax is included 2) discounts 3) nothing 4) overdraft fees
Answers
Answer:
4) overdraft fees
Step-by-step explanation:
if she now has a negative balance then she owes money to the couch store
Answer:
Overdraft fees
Step-by-step explanation:
An overdraft occurs when money is withdrawn in excess of what is on the current account. In this situation the account is said to be "overdrawn".
Rocky pays a flat rate of $5 per month plus $0.10 per minute for
his long-distance phone plan. He wants his total monthly bill to be
less than $20.
Need Help
Answers
20-5=15
15/.10=150
150-1=149
15-.10=14.9
14.9+5=19.9
So the maximum number of calls he can make is 149 a month
I need help with these
3 more than half a number is less than 20
2 times less than 16 is at least 50
100 is less than a number divided by 2.83
I just need them translated into numbers I can find the answer from there
Answers
Step-by-step explanation:
n/2 + 3 < 20
50 >= 16- 2n
n / 2.83 > 100
Find the errors and correct the following mathematical sentences.
Answers
Answer:
This is your answer
a rectangular garden will be fenced on all four sides. If 120 ft. of fencing are available, what should be the dimensions of garden to maximize the area? What is the maximum area
Answers
Answer:
30 by 30. Area=900
Step-by-step explanation:
The dimensions of the garden to maximize the area are length + width = 60 and the maximum area is 900 ft².
A rectangular garden will be fenced on all four sides.
120 ft. of fencing is available, what should be the dimensions of the garden to maximize the area and What is the maximum area to be determined.
The rectangle is a four-sided polygon whose opposites sides are equal and has an angle of 90° between its sides.
The perimeter of the rectangle = 120
Perimeter = 2 (length + width)
120 =2(length + width)
length + width = 120/6
length + width = 60 - - - -(1)
So, the sum of the sides of the rectangle should not increase by 120.
Now, the Maximum area of a rectangle,
Let Length = width
Equation 1
Length + Length = 60
length = 60/2
length = 30 = width
Area of the rectangle = length * width
= 30 * 30
= 900 ft²
So the maximum area of the rectangle is 900ft²
Thus, the dimensions of the garden to maximize the area is length + width = 60 and maximum area is 900 ft².
Learn more about rectangles here:
https://brainly.com/question/16021628
#SPJ5
It takes your dog, Patches, 50 days to eat a 10 pound bag of dog food. How many pounds of food does your dog eat each day? Question 2 options: 0.2 lb 5 lbs 2 lbs 0.5 lb
Answers
Answer:
5 pounds of food each day
Step-by-step explanation:
So you do 50 divided by 10 and you get 5 pounds that your dog eats each day.
p.s. If I am wrong I am so sorry just trying to help people out.
WILL GIVE BRAINLST
HAVE AN AMAZING DAY :)
Answers
Answer:
9, 12x=4x+8+20
12x-4x=28
8x=28
X=3.5
Answered both because I wasn't sure which one you needed help with.
how can making a table or graph help you decide whether a rule is a function
Answers
Answer:
It is possible to know whether the rule is a function or not through the graph by drawing a straight line parallel to the Y axis.If the straight line cuts the graph of the relationship at more than one point, then it is not a function. If it breaks it in one point, then it becomes a function.
Step-by-step explanation:
If you need any explanation on math you can communicate with me on Whats on this number +201557831028 or in email or face
double the sum of a number and 3
Answers
Hey there!
Your answer is 2(n + 3)
"Double" represents multiplying by two. Also, "sum of a number and 3" represents the addition of 3 and a number, so we could put "n + 3". Since we are doubling the sum, it would be "2(n + 3)"
Have a terrificly amazing day! :D
Explanation:
Sum= +
Twice= multiply
So, you find the sum and multiply it by 2
What is the value of pi to the hundred-thousands place. (Answer quickly going for 45 points)
Answers
Answer:
3.14159
Step-by-step explanation:
pi
What is the value of x?
I’LL MARK BRAINLIEST
Answers
value of X is 26 Y, is 23, Z is 8