[tex] \frac{10}{ \sqrt{7} - \sqrt{2} } \\ = \frac{10}{ \sqrt{7} - \sqrt{2} } \times \frac{ \sqrt{7} + \sqrt{2} }{ \sqrt{7} + \sqrt{2} } \\ = \frac{10( \sqrt{7} + \sqrt{2}) }{( \sqrt{7} - \sqrt{2} )( \sqrt{7} + \sqrt{2} )} \\ = \frac{10 \sqrt{7} + 10 \sqrt{2} }{( { \sqrt{7} )}^{2} - ( \sqrt{2} ) ^{2} } \\ = \frac{10( \sqrt{7} + \sqrt{2} )}{7 - 2} \\ = \frac{10( \sqrt{7} + \sqrt{2} ) }{5} \\ = 2( \sqrt{7} + \sqrt{2} ) \\ = 2 \sqrt{7} + 2 \sqrt{2} [/tex]
[tex]\frac{10}{\sqrt{7} } -\sqrt{2} =\frac{10\sqrt{7} -7\sqrt{2} }{7}[/tex]
( Decimal: [tex]2.36543...[/tex])
Steps:
1: Convert element to fraction.
[tex]\sqrt{2} =\frac{\sqrt{2}\sqrt{7} }{\sqrt{7} }[/tex]
[tex]=\frac{10}{\sqrt{7} } -\frac{\sqrt{2} \sqrt{7} }{\sqrt{7} }[/tex]
2: Since denominator are equal, combine the fractions.
[tex]\frac{a}{c}[/tex] ± [tex]\frac{b}{c} =\frac{a+b}{c}[/tex]
[tex]=\frac{10-\sqrt{2} \sqrt{7} }{\sqrt{7} }[/tex]
-----------------------
[tex]\sqrt{2} \sqrt{7} =\sqrt{14}[/tex]
[tex]=\frac{10-\sqrt{14} }{\sqrt{7} }[/tex]
Rationalize [tex]\frac{10-\sqrt{14} }{\sqrt{7} }[/tex] : [tex]\frac{10\sqrt{7} -7\sqrt{2} }{7}[/tex]
[tex]=\frac{10\sqrt{7}-7\sqrt{2} }7}[/tex]
253 19/26 rounded to the nearest ten
Answer:
250
Step-by-step explanation:
As a decimal 253 and 19/23 can be written as 253.73
If we think about 253.73 being closer to 250 or 260, we can see that it is closer to 250, so that is the nearest ten we will round to.
Even if it is too difficult to convert to a decimal, if we round 19/23 to 23/23, our number becomes 254. The nearest ten is still 250.
The question is attached on the picture
thank you...
Which of the following rational algebraic equation is transformable to a quadratic equation?
Answer:
Option AStep-by-step explanation:
Possible options are A and B as the other two have no variables in their denominators and the numerators are of degree 1.
Now, option A, it has two different denominators involving the variable s. If you multiply all the terms by the product of the two 8s(s + 2), then you get a quadratic equation.
The option B. If you perform same operation, multiply all the terms by m(m + 1) this will result in degree 3 polynomial, which is a cubic equation but not the quadratic.
So the only option is A
This graph represents 2x+y=−4.
Which ordered pair is in the solution set of 2x+y≤−4?
Question 6 options:
(2, −2)
(−2, −2)
(2, 2)
(−2, 2)
Answer:
(-2, -2)
Step-by-step explanation:
Solve for x. 5x = 60
Answer:
[tex]x = \frac{60}{5} = 12[/tex]
..........................................
DO NOT ANSWER WITH A LINK
The sum of three consecutive integers is 42. Which of the equations could represent this relationship? Select the two correct answers.
x + (x + 1) + (x + 2) = 42
x + (x + 2) + (x + 4) = 42
(x minus 1) + x + (x + 1) = 42
(x minus 2) + x + (x + 2) = 42
x + 2 x + 3 x = 42
Answer:
x+(x+1)+(x+2)=42
(x minus 1)+x +(x+1)=42
Step-by-step explanation:
to find the smaller number and to find the middle number
I hope this help you
It takes 46 pounds of seed to completely plant a 5 acre field how many pounds of seeds are needed per acre
Answer:
I think 9 if im not correct i sincerely apologize
which of the following is true of the angle shown
the measure of the angle is greater than 360
the angle is not in standard position
the terminal side of the angle lies in quadrant 2
the angle can be measured in radians only
Answer:
the angle is not in standard position
In the 2004 Summer Olympics, Adam van Koeverden of Oakville, Ontario, won two medals. He won the gold medal in the men’s 500 m kayak race, with a time of 1 min 37.9 s. He also won the bronze medal in the 1000 m race, with a time of 3 min 28.2 s. In which race did he row with greater speed?
Answer:
Adam van Koeverden at the 2004 Olympic at Athens. Van Koeverden paddled to victory in the Men's K1 500 m kayaking event, adding a gold medal to the bronze he won days earlier in the 1000 m to become Canada's first double medallist in the summer Olympics since Donovan Bailey and Clara Hughes at Atlanta in 1996.
Step-by-step explanation:
Pls mark me as brainliest
An observable characteristic of abnormal body
functioning that medical professionals can
visualize or detect is called what?
a symptom
a sign
a measure
inflammation
Answer:
a sign
Step-by-step explanation:
clause: if 0>1 then 0>0
Step-by-step explanation:
false
0 can't he greater then any integer.
If a rectangular house is 50 feet wide and contains 2,500 sq/ft, what is its depth?
Answer:
50 ft
Step-by-step explanation:
The area of a rectangle = width × depth
area = 2,500 ft²
width = 50 ft
Substitute the values into the formula:
2,500 = 50 × depth
Divide both sides by 50 to find the depth:
2500 ÷ 50 = depth
depth = 50 ft
A plumber has a fixed call out rate of $80 and has an hourly rate of $60
Answer:
do FYI kkkkkkjjj ghost oh go j
The expression for the total cost will be y = 80 + 60x.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a plumber has a fixed call-out rate of $80 and an hourly rate of $60.
The expression will be formed by assuming the hourly rate to be x dollars. The expression will be written as below:-
y = 80 + 60x
Here y is the total cost 80 is the fixed cost and x is the hourly rate.
Therefore, the expression for the total cost will be y = 80 + 60x.
The complete question is given below:-
A plumber has a fixed call-out rate of $80 and an hourly rate of $60. Write an expression for the total cost.
To know more about an expression follow
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Find the area of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate
Thank You!
Answer:
19.42 ft
Step-by-step explanation:
Triangle Outer Perimeter:
5ft + 5ft = 10ft
Semi-Circle Outer Perimeter:First let's find the circumference of the entire circle:
Circumference = 2πr
Circumference = 2π * 3
Circumference = 6π
Circumference = 6(3.14)
Circumference = 18.84
Now to find the perimeter of the semicircle, we divide that value by two:
6π = 18.84
(6π)/2 = (18.84)/2
3π = 9.42 ft
Total Outer Perimeter:10 ft + 9.42 ft = 19.42 ft
-Chetan K
Identify the axis of symmetry of the parabola.
What would be the right answer?
Answer:
x=-3, That is the x value of the vertex, and it is a vertical parabola.
PLZ HURRY IM TIMEDDD
Sameer chose 12 different toppings for his frozen yogurt sundae, which was Three-fourths of the total number of different toppings available at the make-your-own sundae shop. To determine the number of different toppings available at the shop, Sameer set up and solved the equation as shown below.
Three-fourths = StartFraction x over 12 EndFraction. Three-fourths (12) = StartFraction x over 12 EndFraction (12). 9 = x.
Which best describes the error that Sameer made?
Sameer did not use the correct equation to model the given information.
Sameer should have multiplied both sides of the equation by Four-thirds instead of by 12.
The product of Three-fourths(12) is not equal to 9.
The product of Four-thirds and StartFraction 1 over 12 EndFraction should have been the value of x.
Answer:
B, second option: the product of three fourths is not equal to 9
The error made by Sameer while creating the algebraic equation: Sameer did not use the correct equation to model the given information.
What is algebraic equation?An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other.
It is given that Three-fourths of the total number of different toppings available at the make-your-own sundae shop = 12
The algebraic equation given by Sameer is wrong, the correct equation will be:
Let the total number of toppings be x.
[tex]\frac{3}{4} x = 12\\ \\x = 12 (\frac{4}{3} ) = 16[/tex]
Learn more about algebraic equation here
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When converted to a household measurement, 9 kilograms is approximately equal to a
Answer:
D) 19.8 lbs
Explanation:
1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.
1kg is also equal to 2.205 lbs. 9*2.205=19.8416
9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system
a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.
This leaves us with 19.8 lbs
Which can be used to prove that lines P and Q are parallel?
A)same-side exterior angle theorem
B)converse of the alternate interior angles theorem
C)converse of the same-side interior angles theorem
D)converse of corresponding angles postulate
Answer:
B
Step-by-step explanation:
the converse of alternate interior angles theorem states that if two lines are intersected by a transversal forming congruent alternate interior angles then the lines are parallel.
which is an appropriate estimate for the following 62,372/29?
Answer:
=62372/29
=2150.758621 ans.
mark me brainlist plz.
Answer:
Step-by-step explanation:
62,372/29 = about 2150
Pleas answer this question!
a) x = -2 y = -1 so (-2,-1)
Answer:
(- 2, - 1 ) and (- 3, 0 ) , (- 1, 0 )
Step-by-step explanation:
(a)
The coordinates of the turning point ( vertex ) = (- 2, - 1 )
(b)
The roots are where the graph crosses the x- axis , that is
(- 3, 0 ) and (- 1, 0 )
Cual es el ángulo que equivale a 4 ángulos rectos?
ayus lng ako hahaha hshshs
please help need this done by tomorrow thank you [PHOTO]
Hey there!
4x - 16 + 2x + 16 = 180 (linear pair)
4x + 2x - 16 + 16 = 180
6x = 180
x = 180/6
x = 30.
Hope it helps ya!
15 and 3 are a factor of 30?
Answer:
Yes, they're.
Step-by-step explanation:
30 = 1 * 2 * 3 * 5
HELP PLZ ASAP!!!!
A landfill has 60,000 tons of waste in it. Each month it accumulates an average of 360 more tons of waste. What is a function rule that represents the total amount of waste after m months? Let W represent the total amount of waste and m represent months.
A. W= 360m + 60,000
B. W= 60,000m + 360
C. W= 360m - 60,000
D. W= 60,000m - 360
Answer:
Step-by-step explanation:
Your answer is A.
Anytime you have a variable or something that changes such as the month that is a variable so that means its going to be your x/m in this case
Graphing linear equations and inequalities 3Y minus 2X equals nine
Answer:
The answer in the pictures
The radius is 7. Find the circumference of p. Leave your answer in terms of pi.
Answer:
Step-by-step explanation:
Hi there!
According to the question;
radius (r) = 7
We know,
Circumference (c) = 2πr
= 2π * 7
= 14π
Therefore the circumference of p is 14π.
Hope it helps!
Answer:
C.
Step-by-step explanation:
What is the independent quantity?
A) not enough information
B) types of food I eat
Simplify 10/16 to the lowest terms and find an equivalent fraction that has a denominator of 32.
Answer:
5/8, 20/32
Step-by-step explanation:
Divide 10/16 by 2 as that is the GCF (greatest common factor) = 5/8
To find an equivalent fraction with a denominator of 32 multiply 10/16 by 2 = 20/32
Answer:
5/8; 20/32
Step-by-step explanation:
10/16 = (5 · 2)/(8 · 2) = 5/8 lowest term
equivalent fraction 5/8 = ?/32 means 32÷ 8 = 4 × 5 =20
5/8 = 20/32
If using 10/16 = ?/32 means 32 ÷ 16 = 2 × 10 = 20
Again 10/16 = 20/32
Lesson Check (5.NBT.B.7)
1. What multiplication sentence does the model
represent?
Modeling the box representation Mathematically can be done using the multiplication sentence 0.06 × 4 = 0.24
The entire box has 100 holes ;
Each shading takes up 6 boxes which is 6/100 of the entire box ; Area per shading :
6/100 = 0.06The number 6 set shading represented on the box = 4
The multiplication model :
Area per shading × number of shaded set0.06 × 4 = 0.24
Therefore, the multiplication sentence which represents the model is 0.06 × 4 = 0.24
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Help Help Help!!!!!!
Carrie's starting annual salary is $54,020. At the beginning of each new year, she recieves a 2,535 raise. What will her salary be after 15 years?
A. $86,975
B. $89,510
C. $92,045
D. $98,510
Answer:
Step-by-step explanation:
B is the answer
Answer:
C is the answer
Step-by-step explanation:
2,535 x 15= 38,025 + $54,020= $92,045 or C
Brainliest will be appreciated thank you!
Which equation matches the table
x 0 1 2 3 4 5
y 5 6 7 8 9
Answer:
5 equation matches the table
