Answer: 144
Step-by-step explanation:
Product =(12^-5)*(12^7) = 144
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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5 to the power of -2 multiplied by 2
Answer:
im pretty sure its -20
Step-by-step explanation:
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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Triangle ABC has its vertices at the following coordinates:
A(-4, 1) B(0, 2) C(-11, 3)
Give the coordinates of the image triangle A'B'C' after a 90° counterclockwise
rotation about the origin.
Answer:
(1,-4) (2,0) (3,-11)
Step-by-step explanation:
if you graph these you will see its the same images just turned up i would also know because im from k12 but anyways yea same image just turned counterclockwise ,next time search up "graph 90 counterclockwise" and itll show you step by step not of this exact problem but a similar type, it helps alot
Greg took an Uber home from the airport.
The fare was $2.30 a mile and he gave a $7.50 tip to the driver.
His total with tip was $54.65
How many miles was the trip from the airport to Greg's house?
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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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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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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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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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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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
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
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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(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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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
Which of the following values is greater than −2.5? −6.5 −3.4 −2.75 −2.25
Worth 100 points
The value which is greater than -2.5 as requested in the task content is; -2.25.
Which of the numbers given is greater than -2.5?It follows from the task content that the value which is greater than -2.5 is to be determined.
On this note, since greater numbers appear to the right on the number line, one can be sure that the number which is greater than -2.5 among the answer choices is; -2.25 as it appears to the right of -2.5.
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How to you solve this 8/9+4/5
Use the given information
7) Given ABC=94°, Find CBD, ABD=(3x+15)°, DBC= (x+7)°
The angles ∠ABD and ∠CBD are equal to 144° and 50° respectively.
The angle ∠ABC is equal to 94°.The angle ∠ABD is equal to (3x + 15)°.The angle ∠DBC is equal to (x + 7)°.An angle is defined as the figure formed when two rays intersect at a single point known as the vertex. The angle is represented by the symbol "∠".The sum of the angle ∠ABC and the angle ∠CBD is equal to the angle ∠ABD.94° + (x + 7)° = (3x + 15)°101° + x = 3x + 15°86° = 2x43° = xx = 43°The angle ∠ABD is equal to 3(43°) + 15° = 129° + 15° = 144°The angle ∠CBD is equal to 43° + 7° = 50°.To learn more about angles, visit :
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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
Apply the first derivative test to classify stationary point(s) of () =
1
3
3 − 9 + 2
help with this ...............................
Answer: The first one. 2.289<2.297
Step-by-step explanation:
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:
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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.
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!
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.
Leah wants to divide x by What number should she 12 multiply by x to find the answer??
Leah should multiply x with [tex]\frac{12}{5}[/tex].
If we are to divide x by [tex]\frac{5}{12}[/tex], we need to write it like this,
[tex]\frac{x}{\frac{5}{12} }[/tex]
⇒ x ÷ [tex]\frac{5}{12}[/tex]
⇒ x × [tex]\frac{12}{5}[/tex]
Thus, x should be multiplied [tex]\frac{12}{5}[/tex] to get the answer.
Answer) [tex]\frac{12}{5}[/tex]
In fractional division, we need to find the reciprocal of the divisor fraction and then multiply it with the dividend to find the solution.
In the given question, the divisor is ' [tex]\frac{5}{12}[/tex].' Thus, it should be reciprocated to find the fraction ' [tex]\frac{12}{5}[/tex].' This should be then multiplied by the variable x to find the answer to the fractional division.
Fractional multiplication also needs to carry out the arithmetic functions of multiplication and division to find out the answer.
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The complete question is given below:
Leah wants to divide x by [tex]\frac{5}{12}[/tex]. What number should she multiply by x to find the answer??
Please help me I will give brainliest
Answer:
5
Step-by-step explanation:
The points are (4, -3) and (7, -7).
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] d = \sqrt{(7 - 4)^2 + (-7 - (-3))^2} [/tex]
[tex] d = \sqrt{3^2 + (-4)^2} [/tex]
[tex] d = \sqrt{9 + 16} [/tex]
[tex] d = \sqrt{25} [/tex]
[tex] d = 5 [/tex]
Answer: 5
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
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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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