Answer:
Where is the diagram?
Step-by-step explanation:
a
10 Mustafa thinks of a number.
root of the number is a multiple of 3.
What is Mustafa's number?
11 a
b
Find all the numbers between 100 and 200 that have an integer
square root.
Find all the numbers between 100 and 200 that have an integer
13 Jiale thinks of a number. She works out the square root of the
number. Then she works out the cube root of the square root of the
number. The answer is 2.
a
Find Jiale's number.
b Show that Jiale gets the same answer if she finds the cube root first and th
the square root.
If Moussa thinks of a number whose root is a multiple of 3, then there are many possible numbers, like 9, 36, 81, etc.
The numbers between 100 and 200 that have an integer square root are (121, 144, 169 and 196).
The number that Jiale thinks of is 64.
There are three separate, unrelated questions.
Firstly, Moussa thinks of a number whose root is a multiple of 3. Let us assume that the number is "y" and the concerned multiple of 3 be "3x" where (x = 1, 2, 3, 4, 5...)
Hence, as per the question statement,
[tex]\sqrt{y} =3x \\or, y = (\sqrt{y})^{2} =(3x)^{2} \\or,y=9x^{2}...(i)[/tex]
Using (x = 1, 2, 3, 4, 5...) in equation (i), we can have our possible set of answers, i.e., (9, 36, 81...)
Second, we are required to determine all the numbers between 100 and 200 that have an integer square root. We know that, [(10)² = 100]. Therefore, we will have to calculate the squares of numbers above 10 till the squared value reaches or crosses 200, i.e.,
[tex]11^{2}=121, (100 < 121 < 200)\\12^{2}=144, (100 < 144 < 200)\\13^{2}=169, (100 < 169 < 200)\\196^{2}=196, (100 < 196 < 200)\\15^{2}=225, (200 < 225)\\[/tex]
Hence, the numbers between 100 and 200 that have an integer square root are (121, 144, 169 and 196).
Third, Jiale thinks of a number whose square root of cube root is 2. Let the number be "z". As per question statement,
[tex]\sqrt{\sqrt[3]{x}}=2\\ or,(x^{\frac{1}{3}})^\frac{1}{2} =2\\or,(x)^(\frac{1}{3}*\frac{1}{2})=2\\or, (x)^\frac{1}{6}=2\\or,x=(2)^6\\or,x=64[/tex]
And to show that Jiale would have got the same number (2) by calculating the the square root first and then the cube root,
[tex]\sqrt{64} =8,\\\sqrt[3]{8}=2[/tex].
Multiple: A multiple of "x" will be a number which will be exactly divided by x without any remainder.Integer: Any number on the number line which is not a fraction is an Integer.To learn more about Multiples & Integers, click on the link below.
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Write 45 in lowest terms.
47
Answer: 9/20
Step-by-step explanation:
45%=
45 * 100%/100=
45 * 1/100=
45/100=
4.5/10=9/20
How do i reduce 5/12 to 5/9
Answer:
3 to 4
Step-by-step explanation:
Perhaps you want to reduce the ratio (5/12) to (5/9).
Ratio reductionYou have the ratio of two fractions with the same numerator. The ratio of the fractions will be the inverse of the ratio of their inverses:
(5/12) : (5/9) = (9/5) : (12/5) . . . . . . invert fractions and swap sides
= 9 : 12 = 3 : 4 . . . . . . . . . . . . . multiply by 5 and divide by 3
The ratio (5/12) to (5/9) is 3 to 4.
Flying Home A bird flies from the bottom of a canyon that is 59; feet below sea level to a nest that is 752 feet above sea level. What is the difference
10
elevation between the bottom of the canyon and the bird's nest?
*The values in the question and the image are different. It is solved below according to the image*
The correct answer is 812 and 2/5 feet.
Convert the mixed fraction into improper fraction.
Distance between the bottom of canyon and sea level = 59 and 9/ 10 feet= 599/10 feet
Distance between the bird's nest and sea level = 752 and 1/2 feet = (752×2 + 1) feet =1505/2 feet
So, the difference between elevation between the bottom of the canyon and the bird's nest = 599/10 + 1505/2 feet
= 59.9 + 752.5 feet = 812.4 feet
= 812 and 4/10 feet
= 812 and 2/5 feet
Hence, the difference between elevation between the bottom of the canyon and the bird's nest is 812 and 2/5 feet .
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I will give brainiest
Can anyone give me the answers to 1-3 in the picture
Find the slope of each line. Determine whether the lines are parallel perpendicular or neither
Perform the operation and reduce the answer fully. Make sure to
express your answer as a simplified fraction.
1
3
1
2
4/5 divided by 4/3 is equal to 3/5.
In order to divide 2 fractions, we need to first flip the second fraction upside down and then multiply it with the other fraction.
Here, we need to simplify the following expression- 4/5 ÷ 4/3
As mentioned, here also we flip the fraction 4/3 ⇒ 3/4
Now, we multiply it with 4/5,
Thus 4/5 ÷ 4/3 becomes 4/5 × 3/4
now 4/5 × 3/4 = (4 × 3) / (5 × 4)
⇒ (4 × 3) / (5 × 4) = 12/20
Now, we convert this into a simplified fraction by dividing the numerator and denominator by 4. Thus, we get-
= 3/5
Thus, the value of the expression is 3/5.
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Your question was incomplete. Check for full content below-
Perform the operation and reduce the answer fully. Make sure to
express your answer as a simplified fraction.
4/5 divided by 4/3
4 consecutive integers with a sum of 254.
Answer: 62, 63, 64, 65
Step-by-step explanation:
254/4=63.5
so, you know that
[tex]63.5+63.5+63.5+63.5=254[/tex]
[tex]62+63+64+65=254[/tex]
You can kind of tell by looking at the 63.5, because integer is a whole number so the two whole number above and below 63.5 would average out to 63.5
Hope this helps!
Amanda won 62 pieces of gum playing
hoops at her school's game night. Later,
she gave two to each of her friends. She
only has 8 remaining. How many friends
does she have?
If Amanda distributed 62 pieces of gum among her friends by giving 2 to each friend and she has remaining 8 then we can say that she have 27 friends.
Given that Amanda won 62 pieces of gum and division has been done in such a way that 2 pieces to each friend are given and only 8 has remaining.
We are required to find the number of friends that Amanda have.
If 8 pieces of gums are left then the number of pieces distributed will be 62-8=54 pieces of gums.
Since 2 pieces are given to 1 friend so the number of friends will be=54/2=27 friends.
Hence if Amanda distributed 62 pieces of gum among her friends by giving 2 to each friend and she has remaining 8 then we can say that she have 27 friends.
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3. Reducing the original price of an item is often called _____.
Obartering
originating
O selling
O discounting
Answer:
discounting
Step-by-step explanation:
the answer is discounting
How to you solve this 8/9+4/5
f r=9, b=5, and g=−6, what does (r+b−g)(b+g) equal?
-20
-8
8
19
20
Answer:
-20
Step-by-step explanation:
=(9+5-(-6)) (5+(-6))
=(20) (-1)
=-20
Frances had no money in her checking account. She writes 3 checks for $35 each. The bank imposes a $15 penalty because she has overdrawn her account. How much money is in her account now?
The money in Frances' account is - $ 120 after the 3 checks and the penalty.
We are given that:
Frances has no money in her account.
Current balance of her account = $ 0
Now she wrote 3 checks of $ 35 each.
Amount written = 3 × $ 35 = $ 105
Now, the balance in her account will be = $ 0 - $ 105 = - $ 105
Also, the bank has imposed a penalty of $ 15 as she has overdrawn her account.
So, the balance now will become:
Balance = - $ 105 - $ 15 = - $ 120
Therefore, the money in Frances' account is - $ 120 after the 3 checks and the penalty.
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Serena paid $12.55 for a pack of 8 pairs of sport socks. What was the price of a pair of sport socks?
In linear equation, $1.56 is the price of a pair of sport socks.
What in mathematics is a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."To find how much it costs for one pair of socks, divide the cost with how many pairs there are.
12.55/8 = 1.56875
Since we are determining the cost of each pair of socks, it's only justifiable if we round it to the nearest hundredths.
Therefore, a pair of socks cost around $1.56 excluding taxes.
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Round 2,586,991 to the nearest ten thousand
the answer is 2, 590,000
Question:
Round 2,586,991 to the nearest ten thousand
Answer:
2,590,000
Step-by-step explanation:
If you did the 86991 just think of it as 1-10 what is that whole number closer to it would be 90000 if you rounded it to 80000 that would be incorrect because it is not closer to 8 than 9.
I hope it helps you!
~XxBells is a cute girl~
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Question 2-10 Points
Sep 07, 2:02:46 PM
Members of a soccer team raised $1818.50 to go to a tournament. They rented a bus
for $960.50 and budgeted $35.75 per player for meals. Write and solve an equation
which can be used to determine p, the number of players the team can bring to the
tournament.
Answer:
$822.25
Step-by-step explanation:
you will minus all the numbers
(SOMEBODY PLEASE ANSWER THIS ALREADY) Lines a & m are parallel. Using the diagram below, what is the degree measure of angle 3?
Enter the numerical answer only. Example, if the answer is 12 degrees, only enter 12.
Based on the Alternate Interior Angles Theorem, the degree measure of angle 3 is equal to 153.
What are parallel lines?Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.
What is the Alternate Interior Angles Theorem?The Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.
Since line a and m are parallel lines, angle 4 and 6 are alternate interior angles. Therefore, by applying the supplementary angle theorem, the measure of angle 6 is given by:
Q + R = 180°
153° + m<6 = 180°
Angle 6 = 180° - 153°
Angle 6 ≡ Angle 4 = 17°
Now, we can determine the degree measure of angle 3 by applying the supplementary angle theorem:
Q + R = 180°
17° + m<3 = 180°
Angle 3 = 180° - 17°
Angle 3 = 153°
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A,B,C..?
*this is kinda hard,my teacher didn’t even explain nor assigned assignments to us about this*
middle school honor teachers these days..smh
Answer:
oh hello
Step-by-step explanation:
hi i am here to help you
Find the equation of a horizontal line containing the point (4,-8)
The equation of a horizontal line containing the point is y = -8
How to find the equation of a horizontal line containing the point?The point is given as (4,-8)
Rewrite as
(x, y) = (4,-8)
The line is a horizontal line
So, we remove the x value
This gives
y = -8
Hence, the equation of a horizontal line containing the point is y = -8
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The following system has no solution.
x+y +2 = 15
2x+2=1
2y -2=7
True or False
Answer:
True
No solution
Step-by-step explanation:
The system of equations is
x + y +2 = 15 (1)
2x + 2 = 1 (2)
2y - 2 = 7 (3)
Subtract 2 from both sides of Eq (2)
==> 2x + 2 - 2 = 1 - 2
==> 2x = -1
==> x = - 1/2 = - 0.5
Add 2 to both sides of Eq (3)
2y - 2 + 2 = 7 + 2
2y = 9
y = 9/2 = 4.5
Plug in values for x and y in Eq (1)
x + y + 2 = 15 becomes
- 0.5 + 4.5 + 2 = 15
==> 6 = 15 which is false
This is an inconsistent system of equations. and therefore has no solution
Help please i need it
Joseph could use C), D), and E) to make kebabs without any leftovers:
C) 30 pieces of meat and 40 pieces of vegetables
D) 45 pieces of meat and 60 pieces of vegetables
E) 72 pieces of meat and 96 pieces of vegetables
How were the answers determined? To solve for the answer, here are some pointers:
Consider the given which states that each kebab has 3 pieces of meat and 4 pieces of vegetables, and Joseph wanted to make kebabs without any leftovers - meaning, there should be no extra piece of meat or no extra piece of vegetable.
In choosing which is the answer, make sure that the number of pieces of meat must be divisible by 3 (pieces of meat), and the number of pieces of vegetables must be divisible by 4 (pieces of vegetables). This was also based on the given.
Moreover, the quotient for meat and the quotient for vegetables must be equal to each other so that there will be no leftovers.
Therefore, the answers are C), D), and E) because these three answers satisfy the conditions above.
Here are other links that are related to the said topic:
Example of word problem: brainly.ph/question/1750134
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What function is g(x)
Answer: A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Step-by-step explanation: I hope this helps.
3. If f(x) = x² and g(x) = 3x - 1, find f(g(x))
Answer:
f(g(x)) = 9x² - 6x + 1
Step-by-step explanation:
We are told that:
• [tex]f(x) = x^2[/tex]
• [tex]g(x) = 3x -1[/tex].
In order to find [tex]f(g(x))[/tex], we have to replace [tex]x[/tex] in the definition of [tex]f(x)[/tex] with the definition of [tex]g(x)[/tex]. In other words, [tex]3x -1[/tex] has to be the input for [tex]f(x)[/tex]:
[tex]f(g(x))[/tex] = [tex]f(3x -1)[/tex]
⇒ [tex](3x - 1)^2[/tex]
⇒ [tex]9x^2 - 6x + 1[/tex]
Therefore, f(g(x)) = 9x² - 6x + 1.
4) On the first day of a road trip, you drive miles. On Day 2, you drive 10 more than twice the miles driven on Day 1. On Day 3, you drive 1 00 miles less than D ay 1. Write an expression to represent the miles driven on each d a y of the road trip , then write a final simplified expression representing the total miles driven in three days.
The final simplified expression representing the total miles driven in three days is 4x-90.
Let the miles drove on the day 1 be x
A/Q
On day 2 , we drove 10 more than twice the miles driven on day 1 =2x+10
On day 3 we drove 100 miles less than day 1 = x-100
Simplified expression representing the total miles driven in 3 days
day 1 = x miles
day 2 = (2x+10)miles
day 3 = x-100
total = x+2x+10+x-100
= 4x-90
Some "solving" difficulties are related to "simplification" challenges. Some equations, like some expressions, contain parentheticals and even nested grouping symbols. The technique of simplifying is the same whether we're working with expressions (and therefore only simplifying) or equations (and so including solving).
To simplify an expression, write an equivalent expression with no related terms. This implies we'll rephrase the expression with as few terms as feasible.
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2. Solve the equation for x .
zx - 13 = k
Step-by-step explanation:
Solving steps
ZX-13 k
Move the constant to the right
zX = 13+k
Divide both sides
Solution
x=13+k/z , z≠0
Answer:
x=(k+13)/zStep-by-step explanation:
Solve the equation for x .
zx-13=k
zx−k−13=0
(z)⋅x+(−k−13)=0
x=−(−k−13)/z
x=(k+13)/z
----------------------------
check
z(k+13)/z-13=k
(k+13)−13−{k}=0
k−{k}=0
0=0
the answer is good
Will give brainliest 50 points!!!!
If we want to have solutions for the linear equation, the value of A must be 4,
Which number should go in the box?Let's define A as the number that should be in the box, now we can write the linear equation in the image as:
A*(5x + 6) = 20x + 24
We want to find the value of A, if we divide both sides by 5x + 6 we will get:
A = (20x + 24)/(5x + 6)
The numerator can be rewritten as:
20x + 24 = 4*(5x + 6), replacing that we will get:
A = 4*(5x + 6)/(5x + 6) = 4
Then we conclude that, if we want to have solutions for the linear equation, the value of A must be 4.
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Question 2(Multiple Choice Worth 5 points)
(Multiplying Rational Numbers MC)
Lorie ordered a shed to hold her gardening supplies. The shed had a length of 20.25 ft, a width of 12 ft, and a height of 3 ft.
Determine the volume, V, using the formula V= /wh.
O 827.6 cubic ft
O777.6 cubic ft
O 77.76 cubic ft
O 35.45 cubic ft
The volume of the shelter is 1108.25 cu. ft.
What is a Cuboid?
A cuboid is a three-dimensional figure with 6 faces, all the faces are rectangular in shape.
The volume of a cuboid whose length is l,
The width is w, and
Height is h.
Volume = length × Width × Height
V = l × b × h
The length of the shed is 20.5 ft.
The width of the shed is 12ft.
The height of the shed is 3 ft.
The volume of the shed is:
V = 20.5 × 12 × 3
V = 738 cubic ft.
Therefore, the shed has a volume of 738 cubic ft.
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Evaluate the variable expression when a = 2 and c = −3. 2a − (c + a)2
Apply the first derivative test to classify stationary point(s) of () =
1
3
3 − 9 + 2
Help me on this please! Thank you :)
Answer:
Step-by-step explanation:
Number of girls to boys
11:14
Number of boys to the total number of students
14:25
Total number of students to number of girls
25:11
Number of boys to number of girls
14:11
Feng wants to ride his bicycle 45.6 miles this week. He has already ridden 20 miles. If he rides for 4 more days, write and solve an equation which can be used to determine mm, the average number of miles he would have to ride each day to meet his goal.
The average number of miles that he would have to ride each day to meet his goal is 20 + 4x = 45.6.
How to calculate the expression?let the average number of miles be represented by x.
Total number of miles = 45.6
Therefore the expression will be:
20 + (4 × x) = 45.6
20 + 4x = 45.6
4x = 45.6 - 20
4x = 25.6
x = 25.6/4
x = 6.4 miles
He has to ride 6.4 miles per day.
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