Answer:
2 11/12
Step-by-step explanation:
The average of 2 ⅓ and 3 ½ is 2 11⁄12. To find the average, find the sum of the fractions and divide by 2.
2 ⅓ + 3 ½ = 7⁄3 + 7⁄2 = 14⁄6 + 21⁄6 = 35⁄6 or 5 5⁄6
5 5⁄6 ÷ 2 = 35⁄6 × 1⁄2 = 35⁄12 or 2 11⁄12
The average of 2⅓ and 3½ is 2 11/12
2⅓ + 3½ = 7/3 + 7/2 = 14/6 + 21/6 = 35/6 or 5/6
5 5/6 ÷ 2 = 35/6 × 1/2 = 35/12 or 2 11/12
Finding the Average
Average refers to the sum of the values divided by the count. Therefore, the steps to follow to find the average are below:
Add the given values.
Divide the sum by the count of values.
Equation:
(2 1/3 + 3 1/2) / 2 = ?
Solution:
(2 1/3 + 3 1/2) / 2 = ?
* Change the mixed numbers to improper fractions.
= (7/3 + 7/2) / 2
* Add the fractions. Find the LCD.
= (14/6 + 21/6) / 2
= ( 35/6 ) /2
To divide change the sign to multiplication, The give the reciprocal of the second fraction
= 35/6 × 1/2
= 35/12 or 2 11/12
Final Answer:2 11/12
hope it helps youThank You !!I NEED HELP WITH THESE MATH PROBLEMS. I put 30 points for this.
1. The go-cart traveled at 10 miles per hour for half an hour. How far did it travel? show your work.
2. Gooey Good Bakery can bake 16 cakes in 1 hour. How many cakes can the bakery make in 5 3/4 hours? show your work.
3. Jennifer is adding a border to the quilt she made. Her quilt is 6 feet long and 5 feet wide. With an extra 6 inches to overlap, how much border material will she need? show your work.
4. The Marvelous Marble Company makes 100 marbles in 2 hours. How many hours would it take the company to make 1000 marbles? show your work.
5. A feather floats to the ground at a speed of 2 centimeters per second. Find the distance the same feather travels if it floats down for 20 seconds. show your work.
Answer:
1.5 miles
2.92
3.
Step-by-step explanation:
What is $36.99 in tax and 20% in tip?
Show your work! Please
please help me with they math I wil lvote brainlyest
Answer:
Question no 3...
answer is 24
Question no 4
answer is 3.562*10^3
whats 4(-2-9.2x)=3(2-7.6x) solve for x
Answer:
x = -1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
[tex](4)(-2) + (4)(-9.2x)=(3)(2)+(3)(-7.6x)[/tex] [tex]-8 - 36.8x = 6 - 22.8x[/tex] [tex]-36.8x - 8 = -22.8x + 6[/tex]Step 2: Add 22.8x to both sides.
[tex]-36.8x - 8 + 22.8x = -22.8x + 6 + 22.8x[/tex] [tex]-14x - 8 = 6[/tex]Step 3: Add 8 to both sides.
[tex]-14x - 8 + 8 = 6 + 8[/tex] [tex]-14x = 14[/tex]Step 4: Divide both sides by -14.
[tex]\frac{-14x}{-14}=\frac{14}{-14}[/tex] [tex]x = -1[/tex]Therefore, x = -1.
The solution to the equation 4( -2 - 9.2x ) = 3( 2 - 7.6x ) is x = -1.
What is the solution to the equation?Given the equation in the question:
4( -2 - 9.2x ) = 3( 2 - 7.6x )
To solve the equation 4(-2 - 9.2x) = 3(2 - 7.6x), distribute the constants and then isolate the variable x:
4( -2 - 9.2x ) = 3( 2 - 7.6x )
4 × -2 + 4 × -9.2x = 3( 2 - 7.6x )
-8 - 36.8x = 3( 2 - 7.6x )
-8 - 36.8x = 3 × 2 + 3 × -7.6x
-8 - 36.8x = 6 - 22.8x
Collect like terms:
-8 = 6 - 22.8x + 36.8x
-8 - 6 = - 22.8x + 36.8x
Add like terms:
-14 = 14x
14x = -14
Divide both sides by 14:
x = -14/14
x = -1
Therefore, the value of x is -1.
Learn more about equations here: brainly.com/question/14686792
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9) What 2 numbers have a total of 28 and a difference of 6?
Answer:
Sum: 17 + 11 = 28
Difference: 17 - 11 = 6
Step-by-step explanation:
The sum of x and y is 28. In other words, x plus y equals 28 and can be written as equation A:
x + y = 28
The difference between x and y is 6. In other words, x minus y equals 6 and can be written as equation B:
x - y = 6
Now solve equation B for x to get the revised equation B:
x - y = 6
x = 6 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 28
6 + y + y = 28
6 + 2y = 28
2y = 22
y = 11
Now we know y is 11. Which means that we can substitute y for 11 in equation A and solve for x:
x + y = 28
x + 11 = 28
X = 17
Summary: The sum of two numbers is 28 and their difference is 6. What are the two numbers? Answer: 17 and 11 as proven here:
Sum: 17 + 11 = 28
Difference: 17 - 11 = 6
Answer:
17 +11 = 28
hope this helps
The residents of a city voted on whether to raise property taxes.
The ratio of yes votes to no votes was 7 to 5.
If there were 6251 yes votes,
what was the total
number of votes?
Answer=4465
7*6251=893
893*5=4465
Step-by-step explanation:
Place the following numbers in order from least to greatest -4.5, -3 5/6, square root of 16, -8/3, -2 pie
Answer: -2 pi, -4.5, -3 5/6, -8/3, square root of 16
Step-by-step explanation:
The number which would be the smallest would be the largest negative number sense its farthest from 0 and the greatest would by the biggest positive number in this case being square root of 16.
square root of 16 is 4 sense (4 times 4 is 16)
-8/3= -2.67
-2 pi= -6.28
-3 5/6= -3.834
Mr. Thompson asked 50 students were about their
favorite ice cream.
1/5 of the students chose Vanilla
1/2 of the students chose Chocolate The remaining chose Strawberry
How many students chose Strawberry as their favorite flavor?
What decimal represents the students who
prefer cookie dough?
Answer:
0.12 chose strawberry as their favorite
An otter is swimming at - 4.2yo relative to the surface of the water. It dives 6.0 yds desper. After thedive, what is the otter's elevation relative to the surface of the water?.
Answer:
Where to look: Any waterway you’re near! River otters are happy in fresh, brackish and salt water. They’re often seen in coastal areas near the mouths of rivers and creeks. They’re often seen in marshes and wetlands. They’re a little harder to see in vegetated rivers but keep looking, especially when boating. They’re often found in lakes…look where the fish are. In-crowd hint: Check out our otter spotter map to see where they’re often reported!
When to look: River otters are most often seen at dusk and dawn, but can be seen at any hour of the day or night.
What do I look for? Look for large ripples on the surface of the water, lots of bubbles and a 3 to 4 foot-long animal with a long thick tail. The tail is about a third of the body length of the otter. Otters are dark and sleek in the water. Otters have a large black hairless nose (rhinarium).
How do otters swim and move? In the water, river otters do not swim on their backs like sea otters. They can swim along with just their heads showing, they can dive and roll and they often stay underwater for up to 15 or 20 seconds. They also “periscope,” meaning raise their necks far out of the water to see farther. When swimming, they usually carry their bodies just under the surface. They’re very elusive and can “disappear,” into the water, brush, rocks or under overhanging vegetation.
On land, river otters are agile, can run quickly and climb trees. They’re small and narrow-bodied, with longer back legs than forelegs, so they move with a humping gait. They’re often seen running across beaches, or along paths near water.
There’s a superb Otter/Beaver/Muskrat article with photos and descriptions here.
SEA OTTER (Enhydra lutris)
In California, sea otters are most often seen around Monterey Bay and Elkhorn Slough. Occasionally we see them in the SF Bay Area. Sea otters are twice the size of river otters, and are never far from the ocean. They have enormous back flippers, and often swim on their backs with their big flippers sticking out of the water. Their tails are short and not as muscular as river otters. They are clumsy on land.
This video by Tom Reynolds shows sea otters first, then river otters. The differences will become obvious!
MUSKRAT (Ondatra zibethicus)
Muskrats are rodents, about 18 inches long, with a thin tail. Like beavers, they swim straight across the water, with their backs at or slightly above water level, without diving and rolling, until it’s time to submerge.
Typical muskrat swimming; note the thin long tail.
Here’s a nice muskrat video.
BEAVER (Castor canadensis)
Beavers are rodents with large orange teeth. They have a very distinctive large, flat tail which slaps the water when they’re startled. Beavers are burly animals, and weigh about twice as much as river otters. Their fur is clumpy when wet. Like muskrats, their bodies are usually at or slightly above water level when they swim.
Here’s a gorgeous beaver, look at that tail!
Here’s our friend Heidi of Worth A Dam in a wonderful video showing the difference between otters and beavers.
HARBOR SEAL (Phoca vitulina)
Harbor seals are seen in the ocean, bays and marshes. They’re quite fat-looking, because they carry a large layer of fat on their bodies to keep them warm in cold waters. Harbor seals have very large heads and big dark eyes. They startle easily, and dive under water with an enormous splash if you surprise them while kayaking. They’re grayish, with mottled fur, sometimes paler gray toward white.
Here’s a fascinating video of a river otter protecting its prey from a curious harbor seal. Many thanks to the Sonoma County Water Agency for sharing with us!
Step-by-step explanation:
Answer:
Step-by-step explanation:
4343555555555555555X466666666666646
Math 1 Graded Assignment Unit Test, Part 21 Polynor
(Score for Question 3:___ of 5 points)
3. Multiply the polynomials (+3a-7) and (24 - a + 4). Simplify the answer. Show your work.
Answer:
Answer:
9a-3
Step-by-step explanation:
a^2=2a+3a=5a-7+4=5a-3+(4a-a)=3a+5a=9a-3
Step by step please!
One-ninth of the candies in a bag of M&M's are red. If there are 16 red candies, how many M&M's are in the bag?
Answer:
21
I hope this helped I would appreciate brainliest if possible
Write in words. Use commas and hyphens.
38,492
Thirty-eight thousand, four hundred and ninety-two
Simply write out the number as you would say it out loud!
If a new car is valued at $20,600 and 8 years later it is valued at $7000, then what is the average rate of change of its value during those 8 years?
Will mark brainliest for all 4 :)
Answer:
1=2 weekday 3 weekend
2=4 weekend 8 weekday
3=?
4=3 bleachers 4 lawn
Step-by-step explanation:
Find the perimeter P of
v
OJKLM
with vertices J(-3,-2), K(-5, -5), L(1, -5), and M(3,-2). Round your answer to the nearest tenth, if
necessary
Ť
P=
units
OCT
7
étv
A
W
Р
MacBook Air
12
0
!
A
11
3
$
4
%
5
&
7
4
8
2
9
o
Q
W
E
R
T
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lab
Answer:
P = 3.6 + 6 + 3.6 + 6 = 19.2 units
Step-by-step explanation:
distance between (-3,-2) and (-5,-5) =
Sqrt[(-5-3)^2+(-5 - -2)^2]
Sqrt (4+9) = 3.6
d = (-5,-5) and (1,-5) =
Sqrt[(1 - - 5)^2 + (-5 - - 5)^2]
= sqrt (36 + 0) = 6
d = (1,5) and (3,-2)
Sqrt[(1 - - 3)^2 + (-5 - - 2)^2]
Sqrt(4+9) = 3.6
d = (3,-2) and (-3,-2)
Sqrt[(-3-3)^2 + (-2 - - 2)^2]
Sqrt (36+0) = 6
plz help me I'm about to cry
Answer:
yyy i will help....... dont cry
Show that the equation x^4/2021 − 2021x^2 − x − 3 = 0 has at least two real roots.
The roots of an equation are simply the x-intercepts of the equation.
See below for the proof that [tex]\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}[/tex] has at least two real roots
The equation is given as: [tex]\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}[/tex]
There are several ways to show that an equation has real roots, one of these ways is by using graphs.
See attachment for the graph of [tex]\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}[/tex]
Next, we count the x-intercepts of the graph (i.e. the points where the equation crosses the x-axis)
From the attached graph, we can see that [tex]\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}[/tex] crosses the x-axis at approximately -2000 and 2000 between the domain -2500 and 2500
This means that [tex]\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}[/tex] has at least two real roots
Read more about roots of an equation at:
https://brainly.com/question/12912962
2. Convert the following lengths to cm. (a) 15 mm (b) 27 mm (c) 48 mm
Answer:
15 mm = 1.5 cm
27 mm = 2.7 cm
48 mm = 4.8 cm
Suppose a scatter plot indicates that there is a positive linear association between two quantitative variables. Which of these statements MUST
be correct about the line of best fit for the data in the scatter plot?
Answer:
As the x increases, the y increases. The line will have a positive slope.
A Scatter Plot has points that show the relationship between two sets of data and the points are plotted on horizontal and vertical axes.
The statement about the line of best fit for the data in the scatter plot is the line must have a positive slope.
What is a scatter plot?A Scatter Plot has points that show the relationship between two sets of data. The points are plotted on horizontal and vertical axes.
We have,
A positive linear association between two quantities variables.
Positive linear association means:
If one variable increases as the other variable increases.
Negative association means:
If one variable increases and the other variable decreases.
No association means:
There is no relationship between the variables.
Thus the statement about the line of best fit for the data in the scatter plot is the line must have a positive slope.
Learn more about scatter plots here:
https://brainly.com/question/13984412
#SPJ5
The complete question is:
Suppose a scatter plot indicates that there is a positive linear association between two quantitative variables. Which of these statements MUST be correct about the line of best fit for the data in the scatter plot?
The line must have a positive x-intercept.
The line must have a positive y-intercept.
The line must have a positive slope.
The line must have no slope.
I need to determine the perimeter of this rectangle 5cm x 9cm
P= cm
A=cm
Answer:
5+5+9+9 = 28 cm
Step-by-step explanation:
to determine perimeter add the length of each side (2 sides = 5cm and two sides = 9cm.)
The cube of the cubic fish tank is 27 cubic feet what is the height of the fish tank
Answer:
ITS 9
Step-by-step explanation: i just had to divide the 27 by 3 because if its a cube cubes are the same hieght langth and width of each other so it is 9
how do i do this, find the value of x in a circle
Answer:
x=25
Step-by-step explanation:
line st is the diameter so it equals 180º
so 3x-14+3x-14+2x+8=180 substitution
8x-20=180 combining like terms
+20 +20 singling out the variable
8x=200
÷8 dividing
so x=25 answer
Neeeed asapppp!!!!!!!!!
Answer:
NM
Step-by-step explanation:
The hypotenuse is always the longest side.
Explanation:
For any triangle, the longest side is always opposite the largest angle.
How can the vertex of a parabola be used in solving
real-world problems?
Answer:
The vertex is the maximum or minimum point of the quadratic function. It can be used to solve real world problems optimization problems that can be modeled with quadratic functions
Step-by-step explanation:
hope this helps^^
brainliest maybe??<3
solve pls brainliest
Answer: 0.2
happy learning
Which of the following statements describes the graph below?
PLS HELP.
Answer:
piecewise, continuous.
Step-by-step explanation:
This is piecewise simply because it is in pieces. Thus PIECEwise (Pun intended). This is continuous because, as you can see, there is a filled in dot on the same x coordinate as every empty dot. The empty dots mean that that value is not in that part of the graph. However, since the other parts of the function "fill the gaps," then it is continuous. I hope this helps!
It's offcourse piecewise
For continuity
Observe the graph
The domain is like
(-oo,1]U(1,2]U(2,oo)For close ineterval there is an open interval hence it's continuous
HELP MEEEEE PLZZZZZ!!!
Answer:
75.02 ft and 64.62 ft.
Shureka Washburn has scores of 62,81,76, and 59 on her algebra tests. a. Use an inequality to find the scores she must make on the final exam to pass the course with an average of 72 or higher, given that the final exam counts as two tests. b. Explain the meaning of the answer to part (a).
Answer:
54
Step-by-step explanation:
Given: sin theta=2/3 and is in the second quadrant; evaluate the following expression. sin 2 theta
Answer:The answer to your question is 3. 0
Step-by-step explanation:
Process
1.- Find the cos a
Opposite side = 5
Hypotenuse = 13
Adjacent side = ?
Adjacent side² = 13² - 5²
= 169 - 25
= 144
Adjacent side = 12
cos a = 12/13
2.- Find the sin b
sin b = 5/13
3.- Use the formula below to find sin(a + b)
sin (a + b) = sina cosb + sin b cos a
- Substitution
sin (a + b) = (5/13)((-12/13) + (5/13)/12/13)
- Simplification
sin (a + b) = -60/169 + 60/13
- Result
sin(a + b) = 0
Step-by-step explanation:
