Explanation :
________________________________
Given:
(2+√3)+(4-√3)
To Find:
Evaluate the expression
Solution:
⇨Step 1:
Remove the parentheses
(2+√3)+(4-√3)
When there is + or no sign in front of an expression in parentheses, the expression remains the same
= 2 + √3+ 4-√3
⇨Step 2:
Cancel the opposite terms √3 and -√3
"Two numbers are opposites if they have the same absolute value but different signs"
= 2 + 4
⇨Step 3:
Add the numbers
= 6
Hence (2+√3)+(4-√3) = 6.
The circle graph below represents the opinions of 100 students about their favorite sports. Each student chose exactly one of these four options: Basketball, Hockey, Football, and Other. The following statements are true about the graph:
The number of students who chose Basketball is three times the number of students who chose Other.
Ten more students chose Football than chose Hockey.
The percent of students who chose Basketball plus the percent of students who chose Football equal 65.
What percent of the students chose Basketball?
Answer:
Yo…what’s the graph?
Step-by-step explanation:
You buy candy bars at 85 cents each plus one newspaper for 60 cents. You can spend no more than $4. How many candy bars can you buy? answer
Answer:
4
Step-by-step explanation:
Well first you want to take 0.60 from the total amount which is $4 leaving you with $3.40
then you want to divide the remaining amount of money by the cost of a candy bar ($0.85)
So you do 3.40/0.85 which is equal to 4
Which of the following are steps in practical problem solving?
Answer:
Assign an identifying variable to the quantity to be found. Write a sentence stating conditions placed on the quantity. Solve the sentence for the variable.
Step-by-step explanation:
can you mark me as brainlist
Order the following fractions from least to greatest: 11/5, 6/5, 1/5
Answer: 1/5, 6/5, 11/5.
Step-by-step explanation:
1/5 is the smallest, as it isnt even 1 whole! (5/5)
6/5 = 1 1/5.
11/5 = 2 1/5, so its the greatest
The equation \sqrt{6-y^2}=x
6−y
2
=x is a function of yy."
Equations are used to represent functions, and vice versa.
The equation of y as a function of x is [tex]y=\sqrt{6 - x^2[/tex]
The function is given as:
[tex]\sqrt{6-y^2}=x[/tex]
Square both sides
[tex]6-y^2=x^2[/tex]
Subtract 6 from both sides
[tex]-y^2=x^2 - 6[/tex]
Multiply both sides by -1
[tex]y^2=6 - x^2[/tex]
Take square root of both sides
[tex]y=\sqrt{6 - x^2[/tex]
Express as a function
[tex]f(x) = \sqrt{6- x^2[/tex]
Hence, the equation of y as a function of x is [tex]y=\sqrt{6 - x^2[/tex]
Read more about functions and equations at:
https://brainly.com/question/13336451
What are the common factors of 45 and 272
O A 1,36.9.15
0
B. 1.39
C 1.3.9.15
D. 1,3,5,9
Answer:
Step-by-step explanation:
they are prime to eachother.
There is only one common factor .i.e.,1
45=1×3×3×5
272=1×2×2×2×2×17
The verticles of a triangle are the points R(3,c),Q(9,2) and R(3c,11) where c is constant. Given that angle PQR is 90
Answer:
Step-by-step explanation:
Find c if ∠PQR = 90°?
I will ASSUME you mean point P is at (3. c)
slope of PQ is (2 - c) / (9 - 3) = (2 - c) / 6
slope of QR is (11 - 2) / (3c - 9) = 9 / (3c - 9)
perpendicular lines have negative reciprocal slopes.
(2 - c) / 6 = -1(3c - 9)/9
9(2 - c) = -6(3c - 9)
18 - 9c = -18c + 54
9c = 36
c = 4
Though it just opened last month, the Mash Mobile food truck has been doing well; they're now serving an average of 200 mashed potato creations every day. If there are 8 ounces of potatoes in each dish, how many 50-pound bags of potatoes does the food truck use every day?
Answer:
2 50-pound bags
Step-by-step explanation:
[Conversions] 50-pound bags -> 800-ounce bags
[Total potatoes used] 200 mashed potato creations * 8 ounces of potatoes in each dish = 1,600 ounces of potatoes
[Bags used] 1,600 / 800 = 2 bags
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
How many cubes with side lengths of 1/3 does it take to fill the prism
Step-by-step explanation:
along the side with 1 cm we can fit 3 cubes, as 3×1/3 = 1.
along the side with 2 2/3 cm we can fit 8 cubes :
2 2/3 = 6/3 + 2/3 = 8/3.
and 8/3 / 1/3 = 8/3 × 3/1 = 3×8 / 3×1 = 8
and the height is 2/3 cm, so we can put 2 layers of cubes on top of each other.
so, we have
3 × 8 × 2 = 48
48 cubes are needed to fill the prism.
Help help help help math math
Answer:
<4 = 67 degrees
Step-by-step explanation:
Find <3
30+37+x=180
subtract 37 and 30
x = 180 - 30 - 37
x = 150 - 37
x= 113
Find <4
180 - 113
67
2 + 2 = 3
prove me wrong
Answer:
2+2=4................
Answer:
you are wrong because 2+2=4
How do you add fractions with a whole number? Please explain the rules of it too! To be marked as brainliest
The area of each square tile is square feet and the area of each triangular tile is square foot.
We will pour sand into each frame to a depth of foot.
image placeholder
ft
Complete the sentence with the amount of sand we will need for each tile.
We will need
ft of sand for each square tile, and
ft of sand for each triangular tile.
Answer
hi
Step-by-step explanation:
ok
find the value of X in the following figures
Answer: 70
Step-by-step explanation:
Diagonals of a rhombus bisect each other at right angles, so
[tex]x+20=90\\\\x=\boxed{70}[/tex]
For the following problem, y varies directly as x If y = 34 when x = 4 , find y when x is 3.
Answer:
Step-by-step explanation: plug in 3 for X and then solve
Give me 5 stars
How to do this problem
Answer: a. y=3 slope = 0
b. x=-4 slope does not exist
Step-by-step explanation:
Help me out please ???????
Answer:
I think it's 33.
Hope that helps you.
Step-by-step explanation:
it will be 33 because the interquartile we give it by Q3 - q1
Q3 median of 84 plus 90 divided by 2 equal 87
q1 equal 54
the company installs the new windows for $3150. the total cost for buying them and having them installed is $5769.00. if ray hills pay $145.50 per widow how many windows did they buy?
====================================================
Work Shown:
x = number of windows purchased
The cost expression is 145.50x+3150 because the "145.50x" portion represents the $145.50 per window charge, then we tack on the fixed fee of $3150. Set this cost expression equal to the total charge ($5769) and solve for x.
[tex]145.50x+3150 = 5769\\\\145.50x = 5769-3150\\\\145.50x = 2619\\\\x = 2619/(145.50)\\\\x = 18\\\\[/tex]
They bought 18 windows.
What is the molarity of a solution
made by dissolving 67.3 g of lithium
chloride (LiCl) in enough water to
make 2.37 L of solution?
Molar Mass Li: 6.94 g/mol
Molar Mass Cl: 35.45 g/mol
Answer:
0.670. M
Step-by-step explanation:
Molarity can be expressed like this:
molarity = number of moles /volume (L)
We know the volume, which is 2.37 L , but we need to find the number of moles. We can do this by dividing 67.3 g by the molar mass of L i C l :
number of moles = mass of sample /molar mass
number of moles = 67.3 g /(6.94 + 35.45) g/mol = 67.3 g /42.39 g/mol
number of moles = 1.59 mol
molarity = 1.59 mol /2.37 L = 0.670. M
If a shirt for RS 18 is marked up to RS 20 then the percentage increase is equal to
Answer:
11.1%
Step-by-step explanation:
Increase = 20 - 18
= 2
% increase= increase/initial price × 100
= 2/18 × 100
11.1%
Factorize the expressions
px2 + qx
Answer:
SOLUTION
HERE,
=X(P.2+Q)
=X(2P+Q)
Answer:
x(px+q) ( I took x as a common and the remaining are some
Need help. Sorry if the pic quality is bad…
Help me with writing a check please
Answer: pay to the order of: Price Chopper.... $145.19.... next line: One hundred forty-five and 19/100.... bottom left line: whatever the money is for.... next line: signature. 5. fifty-four and 68/100 dollars 6. One hundred seventeen and 92/100 dollars 7. twenty dollars
Step-by-step explanation:
Select the fraction equivalent to 0.1¯
its not 1/10
1/1
B 1/9
C 1/11
please explain why
Answer:
its 1/10
Step-by-step explanation:
You are wrong because 0.1 x 10 is 1 just like 1/10 x 10 is 1.
HELPPPP PLEASEEEEE
index notation simplify 4^9 x 4^3
Answer:
[tex]4^{12}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then
[tex]4^{9}[/tex] × [tex]4^{3}[/tex] = [tex]4^{(9+3)}[/tex] = [tex]4^{12}[/tex]
Veronica made 960 cookies to sell. She wants to package the cookies in boxes of 16. Her goal is to make $630 from selling her cookies.
Answer: She should charge $10.50 for each box
Step-by-step explanation:
Total cookies = 960
Each box has 16 cookies
Her goal is $630
First, you want to find out how many boxes she made
960÷ 16 = 60
She made 60 boxes
Now you want to find the price for each box
630 ÷ 60 = 10.5
She should charge $10.50 for each box
I hope this helps!!!
What will $82,000 grow to be in 11 years if it is invested today at 8% and the interest rate is compounded monthly
Answer:
Well the answer would be 865,920. Hope this helped! this is the way i learned it so if its wrong i'm super sorry!
Step-by-step explanation:
I = p x r x t
I = 82,000 x 8 x 11yrs
BUT WAIT! this is MONTHLY, so convert 11 x 12 = 132 and then move 8 back 2 spaces = 0.08 so the correct equation is
I = 82,000 x 0.08 x 132
I = 865,920
the area of a rectangle and square are same . if area of the square is 900 cm² and length of the rectangle is 45cm find the perimeter of the rectangle.
Answer: 130cm
Let's think the width of the rectangle as, "x"
45*x= 900
x= 900/45
x= 20
45+45+20+20
= 130cm
What dose f(-2)=3 mean?
function!
Step-by-step explanation:
this was a function that the answer (y) is equal to 3
and the X is equal to (-2)
Answer:
This is about a function evaluated at a particular point. You don't get a formula for the function, but there is enough information to say that the ordered pair (-2, 3) is part of the function.
The function's name is f.
The -2 in parentheses is a value for the independent variable ("input"), often designated by the variable x.
The 3 is the corresponding value of the dependent variable ("output"), often designated by the variable y.
The expression can be read as:
"f of negative two is equal to 3"
"the value of f at -2 is 3"