Answers
Answer:
3[tex]\sqrt{3}[/tex] and [tex]\sqrt{7}[/tex]
Step-by-step explanation:
Simplifying surds is similar to collecting like terms in algebra.
If the surds have the same value then collect them by adding/ subtracting their coefficients.
(a)
[tex]\sqrt{3}[/tex] (7 - 2 + 1 - 3)
= [tex]\sqrt{3}[/tex] (3)
= 3[tex]\sqrt{3}[/tex]
(b)
[tex]\sqrt{7}[/tex] (5 + 4 - 8)
= [tex]\sqrt{7}[/tex] (1)
= [tex]\sqrt{7}[/tex]
Related Questions
Andre’s school orders some new supplies for the chemistry lab. The online store shows a pack of 10 test tubes costs $4 less than a set of nested beakers. In order to fully equip the lab, the school orders 12 sets of beakers and 8 packs of test tubes.
Write an equation that shows the cost of a pack of test tubes, , in terms of the cost of a set of beakers, .
Answers
Answer:
70
Step-by-step explanation:
The average adult spends 7 to 8 hours sleeping. About 20% of the time you sleep is spent in rapid eye movement (REM) sleep which is associated with dreaming. Write and Solve a compound inequality to determine how much time is spent in REM sleep for the average adult?
Answers
Answer:
.20(7) ≤ x .20(8)
Step-by-step explanation:
let 'x' = amount of time in REM sleep
Answer:
1.4[tex]\leq[/tex] x [tex]\leq[/tex] 1.6
Step-by-step explanation:
You can start off by writing the inequality that 7(.20) is less than/equal to x which is less than/equal to 8(.20). Then, you just multiply the numbers and you have the 20% that you spend in REM sleep.
Hope this helps!
ASAP! please help, thanks
Answers
Answer:
d should be correct
Step-by-step explanation:
prove me wrong
In which choice do all three points lie on the same straight line?
A. (0,0) (1, 1) (2, 4)
B. (5, 1) (-3,0) (-1,2)
C. (2, 10) (4.9) (5,8)
D. (0.1) (2,3) (4,5)
Answers
Answer:
D) (0,1) (2,3) (4,5)
Step-by-step explanation:
Explanation
Given Points are A(0,1) , B(2,3) , C(4,5)
slope of the AB
[tex]= \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{3-1}{2-0} =\frac{2}{2} =1[/tex]
Slope of BC
[tex]= \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{5-3}{4-2} =\frac{2}{2} =1[/tex]
Therefore slope of AB and BC are equal
The three points lie on same straight line
The three points are collinear points
There are 25 students in the class. 36% of the students ate hotdogs for lunch. How many students ate hotdogs?
Answers
Answer:
9
Step-by-step explanation:
25 times .36 is 9!
I hope this helps!
Answer:
36% x 25= 9
9 students ate hotdogs
Step-by-step explanation:
just find out how many students are 36% of the class, all i did was take the precent of the class and multiplied it by the number of students in the class in this case 25
The population of a city is expected to decrease by 6% next year. If x represents the current population, write an expression that represents the expected population next year.
Answers
Given:
Current population = x
The population of a city is expected to decrease by 6% next year.
To find:
The expression that represents the expected population next year.
Solution:
We have,
Current population = x
Decrease rate = 6%.
Expected population next year = Current population - 6% of Current population
=[tex]x-\dfrac{6}{100}x[/tex]
=[tex]x-0.06x[/tex]
=[tex]0.94x[/tex]
Therefore, the expression for the expected population next year is 0.94x.
Jordan's pet grooming business has a monthly cost function of C = $12p + $2100. His Revenue is given by the function R = $62p, where C is the total cost per month, R is the total revenue he receives each month and x is the number of pets he grooms in a month. How many pets must he groom each month to break even?
Answers
Answer:
Step-by-step explanation:
.
Helppppl +13 points & +star
Answers
Answer:
hope it helps
Step-by-step explanation:
...........
√50X3√2=?? help please
Answers
Find the length of side A
Answers
Answer:
D) 4
Step-by-step explanation:
PLEASE HELP ME ITS DUE IN LIKE 10 MINS OMG
Answers
The slope is equal to 5/2.
What is -7x3 =
Need answers asap!
Answers
Answer:
it is -21
Step-by-step explanation:
make it braintliest please
Answer:
-7×3 = -21Step-by-step explanation:
I hope it helps ❤❤I WILL GIVE YOU BRAINLY PLSS
There are 256 vehicles in a car dealership’s lot. At least 113 of them are hybrid
vehicles. Which inequality describes how many vehicles, at most, are not hybrid?
A. ≤ 143
B. 143
D. ≥ 143
PLSS SHOW YOUR WORK PLS
Answers
Answer:
B. 143
Step-by-step explanation:
Subtract 113 from 256 and you get 143. 143 is not less than or greater than 143 so it is equal.
HELP ME PLZZZ This is the only table I don't know,
Answers
Answer:
apples: 6/8 = $0.75 per apple
pears: 1.25/1 = $1.25 per pear
peaches: 1.50/1 = $1.50 per peach
bananas: 4/6 = $0.67 per banana
"price per unit" means that you want to find out how much a single one of the product costs. you figure it out by dividing the price by how many there are.
Step-by-step explanation:
I hope this helps :)
Put the following list of numbers in order from smallest to largest.
1. first 28.3
2. second 28.15
3. third 27.068
4. fourth 29.94
5. fifth 28.08
Answers
27.068
28.08
28.15
28.30
29.94
What is the slope-intercept equation of the line whose y-intercept is
8 with slope -5?
Answers
Answer:
y = - 5x + 8
Step-by-step explanation:
Given that :
Intercept = 8
Slope = - 5
Recall, the general. Slope - intercept equation :
y = bx + c
Where;
b = slope ; c = intercept
Plugging the Given slope and intercept values, equation becomes ;
y = - 5x + 8
give the coordinates (1,4) after a translation 3 units up and 2 units to the left.
Answers
Answer:
The coordinates would be (3,7)
A quantity with an initial value of 6200 decays continuously at a rate of 5.5% per month. What is the value of the quantity after 4 years, to the nearest hundredth?
Answers
Answer:
410.32
Step-by-step explanation:
Given that the initial quantity, Q= 6200
Decay rate, r = 5.5% per month
So, the value of quantity after 1 month, [tex]q_1 = Q- r \times Q[/tex]
[tex]q_1 = Q(1-r)\cdots(i)[/tex]
The value of quantity after 2 months, [tex]q_2 = q_1- r \times q_1[/tex]
[tex]q_2 = q_1(1-r)[/tex]
From equation (i)
[tex]q_2=Q(1-r)(1-r) \\\\q_2=Q(1-r)^2\cdots(ii)[/tex]
The value of quantity after 3 months, [tex]q_3 = q_2- r \times q_2[/tex]
[tex]q_3 = q_2(1-r)[/tex]
From equation (ii)
[tex]q_3=Q(1-r)^2(1-r)[/tex]
[tex]q_3=Q(1-r)^3[/tex]
Similarly, the value of quantity after n months,
[tex]q_n= Q(1- r)^n[/tex]
As 4 years = 48 months, so puttion n=48 to get the value of quantity after 4 years, we have,
[tex]q_{48}=Q(1-r)^{48}[/tex]
Putting Q=6200 and r=5.5%=0.055, we have
[tex]q_{48}=6200(1-0.055)^{48} \\\\q_{48}=410.32[/tex]
Hence, the value of quantity after 4 years is 410.32.
Answer:
442.44
Step-by-step explanation:
BRAINLEST answer !!
Find the value of y
Answers
Answer:
6 it's the same as the one next to a and b that's also 6
Anyone knows this please help me
Answers
Answer:
(0, 2 ) and (- [tex]\frac{4}{3}[/tex], [tex]\frac{2}{9}[/tex] )
Step-by-step explanation:
Given the 2 equations
2x² + 4x - y = - 2 → (1)
x² + y = 2 → (2)
subtract x² from both sides in (2)
y = 2 - x² → (3)
Substitute y = 2 - x² into (1)
2x² + 4x - (2 - x²) = - 2
2x² + 4x - 2 + x² = - 2
3x² + 4x - 2 = - 2 ( add 2 to both sides )
3x² + 4x = 0 ← in standard form
x(3x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x = 0
3x + 4 = 0 ⇒ 3x = - 4 ⇒ x = - [tex]\frac{4}{3}[/tex]
Substitute these values into (3) for corresponding values of y
x = 0 : y = 2 - 0² = 2 - 0 = 2 ⇒ (0, 2)
x = - [tex]\frac{4}{3}[/tex] : y = 2 - (- [tex]\frac{4}{3}[/tex] )² = 2 - [tex]\frac{16}{9}[/tex] = [tex]\frac{2}{9}[/tex] ⇒ ( - [tex]\frac{4}{3}[/tex], [tex]\frac{2}{9}[/tex] )
Write the ordered pair corresponding to the point B.
Answers
Answer:
The ordered pair for point A is (-2, 0). For point B, move to the right 4 units to get an x-coordinate of 4, then move down 3 units to get a y-coordinate of -3. The ordered pair for point B is (4, -3). For point C, move to the right 3 units to get an x-coordinate of 3, then move up 5 units to get a y-coordinate of 5.
Step-by-step explanation:
hope this helps
Answer:
(-2, -3)
Step-by-step explanation:
how much longer is a 1 -inch button than a 3/8 -inch button
Answers
Answer:
5/8
Step-by-step explanation:
i took the quiz
what are the next 3 terms of the sequence-3, -7, -11, -15?
Answers
Answer: -19, -23, -27
Step-by-step explanation:
You minus/subtract 3 each time to get your next three terms
78=6 f please help solve ion have much time
Answers
Answer:
hii
Step-by-step explanation:
The length of the two legs of a right triangle are 18 cm and 24 cm.
What is the length of the hypotenuse of the triangle?
O A. 30 cm
OB. 36 cm
OC. 42 cm
D. 48 cm
Answers
Answer: 30 cm
Step-by-step explanation: Take note that ^2 means to the second power.
a^2 + b^2 = c^2 (hypotenuse)
18^2 + 24^2 = c^2
324 + 576 = c^2
900 = c^2
To find the length of c you have to find teh square root of 900.
√c^2 = √900
c = 30
The length of the hypotenuse is 30 cm!
Hope this helped!
Kiera and her brother, Mitchell, are saving money to adopt a puppy. Kiera currently has $126
and plans to save an additional $14 each week. Mitchell currently has $42 and plans to save
an additional $20 each week.
How many weeks will pass before Kiera and Mitchell have the same amount of money? How
much money will they each have?
In _____
weeks, Kiera and Mitchell will each have $_____
Answers
Answer:
Step-by-step explanation:
ANSWER NOW AND YOU GET 12 and ill answer one of ur questions
Answers
Answer Im going to geuss the last, Im not sure but it looks right.
Step-by-step explanation: heres my question--> https://brainly.com/question/20473783
FMFWE,KFJWKJWKLEJWLKERJWLKRJLWKERJLWRJLWRJLWERJWERJWLKRJWERJWLE
Answers
Step-by-step explanation:
Is this some typing error? Please retype your question for assistance
How much time has passed?
Start time: 4:45 a.m. End time: 7:25 a.m.
Answers
Answer:
2 hours and 40 mins i think
Step-by-step explanation:
The sides of three squares can be used to form triangles. The areas of the squares that
form right triangles have a special relationship. The triangle formed in the drawing below is
a right triangle.
What is the value of x, the side length of Square 2?
