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.
IF YOU GET THIS RIGHT YOU GET BRAINLIEST
Tasha has a collection of trading cards. the collection contains 70 cards. she gives 25 of her cards to her friend brad. she gives 10% of her cards to her nephew, she sells 25 cards online. how many cards remain in Tasha's trading card collection
Answer:
13
Step-by-step explanation:
25 x 2 = 50. 10% of 70 equals 7. 50 + 7 = 57. 70 - 57 = 13.
Cards given to her friend brad + cards sold online = cards givin
25+25=50
Amount of cards + cards givin = amount left
70-50=20
10% of 20=2
20-2=18
Tasha has 18 left
Hope this helps
At Buffalo Wild Wings, you order a meal that costs $15.86. You leave an 18% tip (on the pre-tax amount).
The sales tax is 8%. What is the total cost of the meal?
Answer:
round to cent 20.59
Step-by-step explanation:
A house costs 36% more today than when it was built.If the cost of the house today is $333,200, find the cost when it was built.
Answer:
$245,000
Step-by-step explanation:
Let the intial cost = x
[tex]100\% + 36\% = 136\% = 1.36[/tex]
[tex]1.36x = 333200[/tex]
[tex]x = \frac{333200}{1.36} [/tex]
[tex]x = 245000[/tex]
A price was decreased by 12%. Then it was increased by an additional 5%. What is the percent of the total decrease?
Answer:
7.6%
Step-by-step explanation:
First the decrease
(100-12)%=88%
then the increase
(88)(1.05)=92.4%
The total decrease
(100-92.4)% = 7.6%
Hope this helps
Clara is making a pennant. She attaches a rectangle that is 1 inch wide and 6 inches long to a triangle that has a base of 6 inches and a height of 28 inches. What is the area of the
pennant?
The area of the pennant made by Clara is 90 in²
Area
Area is the amount of space taken up by a two dimensional figure. It measures the quantity of space covered by the figure.
Area of the rectangle = length * width = 6 in * 1 in = 6 in²
Area of triangle = (1/2) * base * height = (1/2) * 6 in * 28 in = 84 in²
Area of the pennant = 6 in² + 84 in² = 90 in²
The area of the pennant made by Clara is 90 in²
Find out more on Area at: https://brainly.com/question/25292087
Answer:
90in^2
Step-by-step explanation:
Area of the rectangle = length times width = 6 x1 = 6 in^2
then the Area of triangle = 1/2 base times height = (1/2) x 6 x 28= 84 in^2
and the Area of the pennant is = 6 + 84 = 90 in
Step-by-step explanation:
PLLLZZZ NO ONE WILL HELP ME!!!
Given this equation in slope-intercept form…
y = 2x + 5
Identify or solve for the following:
Slope
y-intercept
x-intercept
Independent variable
Dependent variable
Domain
Range
We would like to represent a line passing through the point (5,0) with a slope of 2. Please write the equation for this line in slope-intercept form and in point-slope form.
What is the rate of change of the function above?
Answer:
y = m x + b standard form of straight line
y = 2 x + 5
The slope is m and = 2
the y intercept is 5 because when x = o y = 5
if y = 0 then x = -2/5 and would be the x intercept
x is the independent variable and y is the dependent variable
I am not familiar with your definitions for domain and range but
both x and y can vary from -∝ to = ∝
simplify 8+2(5-×) thanks
Answer:
=8+2(5-x)
=8+10-2x
=18-2x
Answer:
hey am
I think that's be the answer
if you think it's not right
don't write
6. Gloria has 7 yellow pencils. She has 9 red pencils. Which strategy
would NOT help you find 9 -
- 7?
A Make 10
(B
Think Addition
Count to Subtract
My Way
The strategy that won't help her to calculate 9 - 7 is (a) Make 10
The given parameters are:
[tex]Yellow = 7[/tex]
[tex]Red = 9[/tex]
To determine 9 - 7,
She can use addition, as in 9 + (-7)She can subtract directly by countingHowever, she cannot make 10.
This is so, because 9 and 7 are not up to 10
Hence, the strategy that won't help her to calculate 9 - 7 is (a)
Read more about subtraction at:
https://brainly.com/question/4700137
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
At a certain shirt factory, 6 buttons are used on each shirt. If a box containing 120 buttons costs $7, determine the cost for the number of buttons needed for 680 shirts
Answer: $238
Step-by-step explanation:
120/6 = 20 shirts for $7
680 / 20 = 34 lots of shirts costing $7
the cost = 34 x 7 = $238
Answer:
238$
Step-by-step explanation:
680*6=4080
this is how many buttons used
4080/120=34
this is how many boxes of buttons
34*7=238
this is the amount
What is 2(n+7)+3n simplified and written in factored form?
Multiple choice question.
A)
5n+9
B)
5n+14
C)
3(2n+3)
D)
2(3n+7)
Answer:
B)
Step-by-step explanation:
2(n+7)+3n
now you multiply 2 though
2n+14+3n
Add common factors
5n+14
__________________________________________________________
Hope this helps!!
If I am wrong, please tell me, I enjoy learning from my mistakes:)
Find the missing side in the similar figures below
Answer:
e
Step-by-step explanation:
24*5/3=40
What is the percent decrease from 95 to 68 round to the nearest percent
The decrease is (95-68) = 27 .
As a fraction, the decrease is 27/95 of the original amount.
To change any fraction to a decimal, do the division:
(27) divided by (95) = 0.2842...
To change any decimal to a percentage, move the
decimal point two places that ==> way:
0.2842... = 28.42... %Answer:
Step-by-step explanation:
[tex]\qquad[/tex]☀️ At first we need to find out the difference between 95 and 68.
[tex]\qquad[/tex][tex] \sf \longrightarrow 68 -95 \\[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow -27[/tex]
[tex]\qquad[/tex]☀️ Now, divide the number by "the starting number.
[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{-27 }{97}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow -0.2842[/tex]
[tex]\qquad[/tex]☀️ And finally, we have to multiply the result by 100 to get it in terms of percent.
[tex]\qquad[/tex][tex] \sf \longrightarrow -0.2842 \times 100[/tex]
[tex]\qquad[/tex][tex] \red{\bf \longrightarrow -28.42℅}[/tex]
Hence, The answer will be -28.42℅[tex]\qquad[/tex]_________________________
What does this equal 2(4+5) over 3
Kevin and Randy Muise have a jar containing 80 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $11.80. How many of each type of coin do they have?
Answer:
39 quarters and 41 nickelsStep-by-step explanation:
Let the number of quarters be x and nickels be y.
Given:
Quarter is 25 centsNickel is 5 centsNumber of coins is 80Total amount is $11.80 = 1180 centsWe have equations:
x + y = 8025x + 5y = 1180Solve the system by elimination, subtract 5 times the first equation from the second one:
25x + 5y - 5x - 5y = 1180 - 80*520x = 780x = 780/20x = 39Find the value of y:
39 + y = 80y = 80 - 39y = 41Verify:
25*39 + 5*41 = 975 + 205 = 1180Find the sum. 2/5(d-10)-2/3(d+6)
Answer:
-4d
Step-by-step explanation:
L.c.m=15
15×2/5(d-10)-2/3×15(d+6)
3×2(d-10)-2×5(d+6)
6(d-10)-10(d+6)
6d-60-10d-60
6d-10d-60-60
-4d-0
-4d
If 6 pounds of apples cost $4.80 what is the cost per 9 pounds
Answer:
Cost of 1 pound apple:4.80/6=2.4
cost of 9 pounds apple:2.4 ×9=21.6
No clue if someone can explain
Answer:
your trying to find out how much each cookie cost
from looking at this we can see that 2 cookies is 1 dollar so each cookie is 50 cents
Hope This Helps!!!
Can someone help me plssssssssss
the graph shows data relating sodium per serving and price per serving of different brands of peanut butter, Using this model, predict the amount of sodium in Peanut Butter that costs $.35 per serving.
A linear model that best fits the overall pattern of points is given by the
regression line of the data.
a. Please find attached the graph showing the linear model of the scatter plot created with MS Excel.b. The slope of the line is -6.2173.c. The relationship is as the price per Serving increases by 1 cent, the sodium per Serving decreases by -6.2173 mg.Reasons:
a. Points on the graph are;
(6, 218),
The slope, b, regression line equation is given by the following formula;
[tex]b = \mathbf{\dfrac{\sum \left(x_i - \overline x\right) \times \left(y_i - \overline y\right) }{\sum \left(x_i - \overline x\right )^2 }}[/tex]
The regression line equation is; [tex]\overline y = b \cdot \overline x + a[/tex]
Where;
[tex]\overline x[/tex] = 18.732
[tex]\overline y[/tex] = 187.24
[tex]\sum \left(x_i - \overline x\right) \times \left(y_i - \overline y\right)[/tex] = -4926.59
[tex]\sum \left(x_i - \overline x\right )^2[/tex] = 792.3944
Therefore;
[tex]b = \dfrac{-4926.59}{792.3944 } \approx -6.2173[/tex]
[tex]a = \overline y - b \cdot \overline x[/tex]
Which gives;
a = 187.24 - (-6.2173) × 18.732 ≈ 303.70
The equation of the line is therefore; [tex]\overline y = \mathbf{-6.2173 \cdot \overline x + 303.70}[/tex]
Using the above regression line equation, the linear model of the scatter
plot can be drawn as presented in the graph created with MS Excel.
b. The slope of the line is b = -6.2173
c. The relationship between price per serving and sodium per serving is
as follows;
When the price per serving increases by 1 cent, the sodium per serving
decreases by 6.2173 mg.
Learn more about the regression line formula here:
https://brainly.com/question/14747095
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A jaguar can run 40 miles per hour while a giraffe can run 32 per mile if they both run for 4 hours how much farther will the jaguar run? Show TWO ways to write the expression or equation and solve
Answer:
(40*4)-(32*4)=32
160-128=32
Step-by-step explanation:
if a + b equal to pi by 4 then prove that 1 + cot a into 1 + cot B equal to 2 into cot a into cot b
Answer:
(cotA − 1) (cotB − 1) = 2
Step-by-step explanation:
A+B= π/4 = 180°/4 = 45°
A+B=45°
∴ cot(A+B)=cot45°
∴ cotBcotA−1 / (cotB+cotA) = 1
⇒cotB + cotA = cotBcotA = 1
⇒cotB + cotA − cotBcotA + 1 = 0
⇒cotBcotA − cotB − cotA − 1 = 0
⇒cotBcotA − cotB − cotA − 1 + 2 = 0+2
⇒cotBcotA − cotB − cotA + 1 = 2
⇒cotB(cotA − 1) (cotA − 1) = 2
⇒(cotA − 1) (cotB − 1) = 2
Proved
One kilometre is about 0.62 miles. It is 12 kilometres from Noah's house to the
ice skating rink. About how many miles is it from Noah's house to the ice
skating rink?
u'll get extra points if u answer guys!! pls help!!!!!
Answer:
7.44miles
Step-by-step explanation:
1km = 0.62miles
12km will be ; 0.62 × 12
= 7.44miles
find three solutions of 9x - 2y = 18
(i don't know why I can't type this out right the first two times)
Answer:
Some solutions of 9x−2y=18 are x=5 =−18 ; x=7 and y=19 ; x=9 and y=0 ; x=11 and y=9 and x=13 and y=18 .
Step-by-step explanation:
How do I get the answer for exponents? Please explain step by step to get marked!
Answer:
4900
Step-by-step explanation:
70^2 means 70*70
70*70=4900
Answer:
you will do 70 times 70 because 70^2 is 70 times 70 which is 4,900.
Solve for equation for x: 5x^2 – 10x – 6 = 0
Correct me if im wrong po
Write and evaluate algebraic expressions
Answer:
9b+10s
Step-by-step explanation:
you are trying to find an expression for total cost after an unknown amount of hours. you need to multiply the number of hours (defined as b and s in this example) by the cost per hour given ($9/hr for the bike and $10/hr for the scooter).
this would result in the following expression: total cost=9b+10s
Can someone explain how you do fractions like adding them? And what rules they have to find the answer?
Answer:
Hope this image helps you. (sorry if it's tiny writing.)
Step-by-step explanation:
Does anyone know the answer please help!!
Need help I can’t fail this assignment. Answer asap!
Answer:
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes
6x + 5y = 10
5y = -6x + 10
y = (-6/5)x + 2
so a perpendicular line has slope 5/6
y = (5/6)x + b
plug in our desired point
3 = (5/6)6 + b
b = -2
y = (5/6)x - 2
I might be able to help you pass this assignment, but better learn it yourself as I cannot assure you will pass the class.
One of those "Win the battle but lose the war" type situations.