I assume you mean the product of mixed numbers,
3 1/2 × 3 1/2
If we write this as
(3 + 1/2) × (3 + 1/2) = (3 + 1/2)²
we can use the identity
(a + b)² = a² + 2ab + b²
so that
3 1/2 × 3 1/2 = 3² + (2 × 3 × 1/2) + (1/2)²
3 1/2 × 3 1/2 = 9 + 3 + 1/4
3 1/2 × 3 1/2 = 12 1/4
Alternatively, we can first write 3 1/2 as a mixed number:
3 + 1/2 = 6/2 + 1/2 = (6 + 1)/2 = 7/2
Then
3 1/2 × 3 1/2 = 7/2 × 7/2 = (7 × 7) / (2 × 2) = 49/4
and
49/4 = (48 + 1)/4 = ((4 × 12) + 1)/4 = 12 + 1/4
Students majoring in engineering make up 21% of the students at a university. There are 6,600 total students enrolled at the university, How
many students are majoring in engineering?
Answer:
Step-by-step explanation:
21 percent of 6600 is 1386.
I'm sorry if I'm wrong.
Let w = 4. Enter >, <, or = to compare the expressions. 3w² + 1 10w + 8
Answer: ≥ without the line on the bottom.
Step-by-step explanation:
I am assuming the expression you are talking about are
[tex]3w^{2} +1[/tex] and [tex]10w+8[/tex].
If we were to replace w with 4 and calculate, we will find the answer:
[tex]3*4^{2} +1=3*16+1=48+1=49[/tex]
[tex]10*4+8=40+8=48[/tex]
Since the first expression, [tex]3w^{2} +1[/tex], is bigger than the second expression, the correct symbol to use is ≥ without the line on the bottom.
What is the slope of (-3, -2) and (-1, -5) ??
Answer:
-3/2 or -1 1/2
Step-by-step explanation:
The slope, plugging into the equation (y_2-y_1)/(x_2-x_1) would be -5 + 2 / -1 + 3, or -3/2, which can also be - 1 1/2
Answer:
-3/2
Step-by-step explanation:
slope ('m') formula: (difference of the y-values) ÷ (difference of the x-values)
m = -2-(-5) ÷ -3-(-1)
m = 3 ÷ -2
slope = -3/2
How do I find domain and range.
Answer:
The domain is all the x values and the range is all the y values.
Since there are 6 points on the figure, just find the coordinates (x, y) for all the points. Then get all the x and y values separated in a table.
I'm just going to assume this is scaled by 1 unit per square
Here are all the points on the graph:
(-6, -1)
(-4, 3)
(-4, -6)
(0, 2)
(2, -2)
(5, 7)
Now just split them into their x and y values
The Domain: -6, -4, 0, 1, 5
The Range: -1, 3, -6, 2, -2, 7
Answer:
Interval notation
Domain: [-6, 5]Range: [-1, 7]Step-by-step explanation:
The domain is the x-value on the x-axis. The range is the y-value on the y-axis.
Find the two highest points on opposite sides in the graph.
find the x-values (refer to the image below)find the y-values (refer to the image below)After this step has been completed, you can write it in different forms, for example in interval notation:
The domain would be [-6, 5]
The range would be [-1, 7]
Note - for interval notation, when the point is a closed circle, the ending parenthesis would be "[ "or "]". However, when it is an open circle, the parenthesis would be "( "or ")".
The time it takes to distribute pamphlets varies inversely with the number of people distributing them. If it takes 40 min for 3 people to distribute the pamphlets, how long would it take if there were 5 people distributing the pamphlets?
Using proportions, it is found that it would take 24 minutes if there were 5 people distributing the pamphlets.
This question is solved by proportions, using a rule of three.The more people that are there distributing the pamphlets, the less time it takes, hence the measures are inverse proportional, which means that line multiplication is applied instead of cross multiplication.3 people take 40 minutes. How many minutes 5 people take?The rule of three is:
3 people - 40 minutes
5 people - x minutes
Applying line multiplication:
[tex]5x = 120[/tex]
[tex]x = \frac{120}{5}[/tex]
[tex]x = 24[/tex]
It would take 24 minutes if there were 5 people distributing the pamphlets.
You can learn more about proportions at https://brainly.com/question/24372153
The cafe sells Beetle Juice and Potion Punch. A cup of Beetle Juice costs $2.50 and a cup of Potion Punch costs $3. Owen ordered 5 drinks for his group and spent $14. Write a system of equations to find the number of cups of beetle juice, j, and potion punch, p, that Owen purchased.
Answer:
2 Beetle juices and 3 Potion Punch
Step-by-step explanation:
j = Beetle Juice cost $2.50
p = Potion Punch Cost $3
j + p = 5 Multiply by -3 -3j - 3p = -15
$2.50j + $3p = $14 Do not change + 2.50j -3p = 14
- .50j = -1
j = 2 Beetle Juice
Substitute into the fist equation and solve for y j + p = 5
2 + p = 5
p = 3 Potion Punch
Compare 37,007 and 30,707. Which
is greater?
Answer: 37,007 is greater
Step-by-step explanation:
Can i get a brainliest
Answer:
37,007 is greater than 30,707
Step-by-step explanation:
Thats because as you can see reading the numbers left to right, the first ones on the far left are both 3s. so so far they're the same. then go to the second number, making sure you're moving left to right. 7 is more than 0 therefor 37,007 is greater than 30,707
Melody can cycle for 30 miles against the wind in the same amount of
time that is takes her to cycle 66 miles with the wind. If the speed of the
wind is 3 mph, what equation could be used to find Melody's speed
without any wind (x).
Answer:
15x/2*4
Step-by-step explanation:
Darren got 42 out of 56 correct on a test. What percent of the questions did he get correct?
Answer: Darren got 75% of the questions correct.
Step-by-step explanation:
To find the percentage of questions Darren got correct, we can divide the questions he got correct by the total number of questions.
42 ÷ 56 = 0.75
0.75 X 100 = 75
So, Darren got 75% of the questions correct.
For a new neighborhood, 100 acres of land will be split into 10 lots.How many acres of land will each lot have?
10
Step-by-step explanation:
I think it's 10 my bad if I'm wrong
Y'all... Please help I need help with freaking math...
15% of 850 is 127.5 and therefore the laptop would be reduced by 127.50
The sale price of the laptop is 722.50
Solve:
13/19- (-1/19)
Answer:
The answer is C! :) hope that helps haha
The thermostat for a house is set to 68 °F, but the actual temperature may vary
by as much as 2 °F. What is the range of possible temperatures?
Answer:
the range is 66 to 70 since it can be 2 degrees in either direction
The range of possible temperatures is 66 to 70°F.
It is required to find the range of possible temperatures.
What is Temperature?The degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale and shown by a thermometer or perceived by touch.
Given:
The thermostat for a house is set to 68 °F, but the actual temperature may vary by as much as 2 °F.
According to given question we have,
∴The range is 66 to 70 °F since it can be 2 degrees in either direction.
Therefore, the range of possible temperatures is 66 to 70°F.
Learn more about temperature here:
https://brainly.com/question/11464844
#SPJ2
raplhy jogs at a rate of 4/2 miles in 2/5 of an hour. What is his speed in miles
Answer:
Ralph's speed is 2 miles in 24 minutes.
(Unit rate, Ralph runs 1 mile in 12 minutes)
Step-by-step explanation:
4 divided by 2 is 2 (miles)
2/5 of an hour is 24 minutes (60/5=12+12=24)
PLEASE HELP WITH ALGEBRA WILL GIVE BRAINLIEST
Answer:
[tex]\frac{ad}{bd} + \frac{cb}{bd}[/tex]
Step-by-step explanation:
[tex]\frac{a}{b} + \frac{c}{d}[/tex]
[tex]\frac{ad}{bd} + \frac{cb}{bd}[/tex] Multiply by the LCD (bd)
please help ill give brianliest to whoever gets the question right :)
Answer:
72
Step-by-step explanation:
I this problem I'm sure you're supposed to multiply: 24 x 3 = 72
hopefully this helped :)
Which expression is equivalent to 7 − 9 ?
Answer:
Try subtracting 9 from 7 to find the value.
Step-by-step explanation:
Please help
What is the domain and range of the function
Answer:
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. They may also have been called the input and output of the function.)
Simplify and leave your answer in index form
Answer:8a^7
Step-by-step explanation:
Answer:
8a⁷ is the simplified form of 4a² x 2a⁵.Step-by-step explanation:
4a² x 2a⁵=> 4 x a² x 2 x a⁵=> 8 x a²⁺⁵=> 8 x a⁷=> 8a⁷Conclusion:
Therefore, 8a⁷ is the simplified form of 4a² x 2a⁵.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
please help me please
Answer:
x+2y = 5
2x+y=4
->
x+3y = 5
6x-y = 11
->
2x+y=10
x-3y=-2
Step-by-step explanation:
solutions of x and y for each system of equation can be solved by graphing
graph the two equations, and the intercepts of the two equations would be the x and y-values, aka the answers
if there are no intercepts, the equations have no solution
Question 4 of 10
Which statement about setting is true as it relates to a story?
A. Setting helps to define a story's point of view.
B. Setting is another word for characterization.
Ο Ο Ο
C. Setting affects character behavior, which drives the plot.
D. Setting comes into play at the end of a story.
SUBMIT
Answer:
First of all not a math question but wtv
the answer is C since where the story takes place affects what the characters do
Hope This Helps!!!
Help for brainliest plz
Answer:
oh uhm that is 3,4 <3
Step-by-step explanation:
what is the lowest common denominator for 2/3 and 3/5
Answer:
15
Step-by-step explanation:
3 times 5 is 15
Solve for X (x-4)(x-3)=0
[tex](x-4)(x-3) =0\\\\\implies x-4 = 0~~ \text{ or}~~ x - 3 = 0\\\\\implies x = 4~~ \text{or}~~ x = 3[/tex]
Please help me.........
Answer:
8/15
Step-by-step explanation:
hope this helps!!! :D
Answer: 8/15
Step-by-step explanation: Tangent is opposite/adjacent
The hypotenuse, the longest side of a triangle which is 17. The adjacent side is the second longest which is 15. And the opposite is the shortest or the base of a triangle which is 8.
For the future, remember these:
Sin = opposite/hypotenuse
Cos = adjacent/hypotenuse
Tan = opposite/adjacent
Therefore, tan is 8/15.
Hope this helps.
803 to 2:12
1,460 to 4:00
753 to 1:30
are these proportional?!?
Answer:
no
Step-by-step explanation:
In terms of area per hour, Bob's works at the rate of ...
1460 ft²/(4 h) = 365 ft²/h
Rhonda's rate is ...
753 ft²/(1.5 h) = 502 ft²/h
The rates are different, so they are not proportional.
___
Additional comment
Toni's rate is 803 ft²/(2.2 h) = 365 ft²/h . . . the same as Bob's
Bob's and Toni's rates are proportional.
please help brainliest if correct and best explanation
Answer: 120
Step-by-step explanation:
first you distribute 5 to 11 and -17 to get (55 - 85) then you distribute 6 to 14 and -7 to now get (55-85) + (84-42) then you distribute -12 to 2 and 7 to now have (55-85) + (84-42) - ( -24 + -84) to get 120 you multiple when you distruibute for these cause its outside the parenthesis so you multiply the number by everything in the parenthesis
Solve for u. (u + 6)(u − 6) = 0
Answer:
u= 6, -6
Step-by-step explanation:
simplify the equation. Isolate the variable.
Hey there!
(u + 6)(u − 6) = 0
DISTRIBUTE “u” WITHIN the PARENTHESES
u(u) + (-6) + 6(u) + 6(-6) = 0
u^2 - 6u + 6u - 36 = 0
COMBINE the LIKE TERMS
u^2 - 36 = 0
ADD 36 to BOTH SIDES
u^2 - 36 + 36 = 0 + 36
CANCEL out: -36 + 36 because it gives you 0
KEEP: 0 + 36 because it helps solve for the u-value
NEW EQUATION: u^2 = 0 + 36
SIMPLIFY IT!
0 + 36 = 36
NEW EQUATION: u^2 = 36
TAKE the SQUARE ROOT
u = ± √36
u = -6 or u = 6
Therefore, your answer is: u = 6 or u = -6
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Please help trigonometry
Answer:
= 59.36
Step-by-step explanation:
S = 207
so, tan(16) = H/S
tan(16°) = 0.28674539
so H = tan(16) * S = 0.28674539 * 207 = 59.35629573
so the tree high = 59.36 foot
What is the circumference of a circle with a diameter of 14 feet?
A. 14 pi feet
B. 96pi feet
C 196pi feet
D. 7 pi feet