Answer:
D
Step-by-step explanation:
The new price of the used compact car is $30,360 if the used automobile dealership recently reduced the price of a used compact car by 12%.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
A used automobile dealership recently reduced the price of a used compact car by 12%.
The price of the car before the discount = $34,500
The new price can be found using:
= 12% of $34,500
= (12/100)x34,500
= 0.12x34,500
The reduced amount = $4140
The new price = 34500 - 4140
The new price = $30,360
Thus, the new price of the used compact car is $30,360 if the used automobile dealership recently reduced the price of a used compact car by 12%.
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What is the factored form of 64g3+8
Answer:8(2g+1)(4g2-2g+1)
Step-by-step explanation:
1. Introduction to frequency distributions Which of the following phrases correctly complete the sentence “A frequency distribution....”? Check all that apply. is a graphical presentation of original data in a histogram. is a distribution in which the values of the variable are tabled or plotted against their frequency of occurrence. is used to display summary statistics such as means and standard deviations. is often a first step of organizing the data into a logical order. You are assigned to a study group of eight students. As a “getting to know you” exercise, you each identify the season of your birth. The following are the responses of the students in your group: fall winter spring summer fall winter spring fall Organize the responses by completing the following frequency distribution table: Frequency Distribution Table for Birth Season Birth Season Number of Students Spring Summer Fall Winter
A frequency distribution is a distribution in which the values of the variable are tabled or plotted against their frequency of occurrence and is often a first step of organizing the data into a logical order. .
How to determine the correct definition of the frequency distribution?As a general rule:
A frequency distribution is in form of a tableIt is used to organize data in logical order or in groupsAn example of a frequency table is
Commute time Frequency
1 - 15 10
16 - 30 18
31 - 45 11
46 - 60 5
61 - 75 0
76 - 90 1
By comparing the above highlights to the given definitions, we have the correct options to be:
A distribution in which the values of the variable are tabled or plotted against their frequency of occurrenceIt is often a first step of organizing the data into a logical order.Read more about frequency distribution at
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There are 100 tiles that were purchased to raise money for a new playground. The tiles will be laid along a walkway. Each tile is 4.75 inches wide. If the tiles are going to all be lined next to each other, how many inches long will they cover along the walkway?
Answer: 475 inches
Step-by-step explanation:
if we have 100 tiles and each is 4.75 inches wide
100*4.75=475 inches
Any know the answer to this?
f(x) =0x+5
A rectangular piece of cardboard measures 16 cm by 13 cm. What is the perimeter of the piece of cardboard?
Answer:
fifty eight centimeters I believe
Answer:
58cm
Step-by-step explanation:
a rectangle has two of the same sides so 16×2=32
and
13×2=26
so
32+26=58
Please help me explain this
Rewrite a number in a base other than ten
Add two or three numbers in a base other than ten
Subtract two numbers in a base other than ten
Why do we learn to work with numbers in different bases?
Explanation:
You want a tutorial and a rationale for writing numbers and doing arithmetic in bases other than 10.
A. Rewrite a numberFor integers, an easy way to write a number in a different base is to repeatedly divide by the desired base, and list the remainders right to left.
Example 1: convert 67 to base 3:
67÷3 = 22 r 122÷3 = 7 r 17÷3 = 2 r 12÷3 = 0 r 267₁₀ = 2111₃
Example 2: convert 44 to base 3:
44÷3 = 14 r 214÷3 = 4 r 24÷3 = 1 r 11÷3 = 0 r 144₁₀ = 1122₃
B. Add two numbersThe usual rules of addition apply. A sum of two digits that equals or exceeds the value of the base causes a carry to the next digit to the left. (It can be convenient to write the carries on a separate line.)
In the first attachment, the sum of the two numbers above is developed in base 3. The relevant addition facts for base 3 are ...
1+1 = 21+2 = 102+2 = 11Of course, zero (0) is still the additive identity element.
C. Subtract two numbersThe usual rules of subtraction apply. When a larger digit is subtracted from a smaller one, a "borrow" is indicated from the digit immediately to the left. The relevant subtraction facts for base 3 are ...
0 - 2 = 1 (borrow 1)0 - 1 = 2 (borrow 1)1 - 2 = 2 (borrow 1)1 - 1 = 02 - 2 = 02 - 1 = 1Example: 67 -44 = 23, done in base 3
For subtraction of a smaller number from a larger one, it can work well to do the computation left to right:
2111 -1122 = ...
4th digit: 2 - 1 = 1
3rd digit: 1 - 1 = 0
2nd digit: 1 - 2 = 2 (borrow 1 from 3rd digit: 0 - 1 = 2, borrow 1 from 4th digit: 1 - 1 = 0). The difference is now 0 2 2 x
1st digit: 1 - 2 = 2 (borrow 1 from 2nd digit: 2 - 1 = 1). The difference is now ...
2111 -1122 = 0212, done in base 3
D. RationaleConsider the expanded forms of the sum and difference numbers in base 3:
11010₃ = 1×3⁴ +1×3³ +0×3² +1×3¹ +0×3⁰ = 81 +27 +3 = 111₁₀ (67+44=111)
212₃ = 2×3² +1×3¹ +2×3⁰ = 18 +3 +2 = 23₁₀ (67-44=23)
These forms clearly show the place value of a digit position is given by the corresponding power of the number base. You see this when you write base-10 numbers in expanded form. The point is driven home by working with numbers in other bases.
In short, working with numbers in other bases gives you a better understanding of place value.
__
Additional comment
Fractions can be converted to a different base by multiplying the fraction by the base, then using the integer digit as the next digit to the right.
Consider 5/9 in base 3:
5/9 × 3 = 1 2/32/3 × 3 = 2Then 5/9 in base 3 is 0.12
As with base 10, any fraction that cannot be written using a power of the base as its denominator will have a repeating fractional part. For example, ...
1/10 = 0.00220022...(4-digit repeat) in base 3
Which expression is a sum of a number and a product? O A. 2(x-9) O B. 6x- 4 O c. 4+ 2x O D.
Answer:
Step-by-step explanation:
Option C is the correct answer
what is 28 divided by 4?
Answer: 7
Step-by-step explanation:
7•4=28 therefor 28\4= 7
Jenna's class brought in 40 pieces of fruit for a celebration and 18 pieces of fruit were eaten. What percentage of the fruit was NOT eaten?
Answer:
e
Step-by-step explanation:
Answer:
55%
Step-by-step explanation:
40 - 18 = 22
22/40= 55%
Hope this helps! :3
plz mark as brainliest!
p l e a s e a n s w e r t h i s q u e s t i o n NOW
Answer:
90 percent
Step-by-step explanation:
easy 36/40=0.9
that means 90 percent
just get big number divided by small
Brainliest PleaseAnswer:
90%
Step-by-step explanation:
36/40 = 9/109/10 = 90/100 90/100 = 90%I hope this helps!
Ms. Ochoa recorded the age and shoe size of each
student in her physical education class. The graph
below shows her data.
Ages and Shoe Sizes of Students
in Ms. Ochoa's Class
9
.
83
8 8
.
Shoe Size of Student
7
6
0
13
14
11 12
Age of Student (years)
Which of the following statements about the graph
is true?
Answer:
The graph shows no trend.
Step-by-step explanation:
See attachment for given graph
Required
What is true about the graph?
From the attached graph, the following points can be deduced:
The data points show no patternThe data points at the same horizontal or vertical level are far away from one anotherWe can not conclude if y increases or decreases as x increase or decreasesBecause of the highlighted points, it is safe to conclude that the graph shows no trend.
Answer:
D
Step-by-step explanation:
Given m n, find the value of x and y.
The value of x and y from the given parallel lines are 140° and 40° respectively.
Given that, straight line m parallel to straight line n and t is the transversal.
Vertical angles theorem or vertically opposite angles theorem states that two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.
Here, y°+140°=180° (Adjacent angles on straight line)
y°=40°
y°+z°=180° (Allied angles adds upto 180°)
40°+z°=180°
z°=140°
Now, x=140° (Vertically opposite angles are equal)
Therefore, the value of x and y from the given parallel lines are 140° and 40° respectively.
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Workers use box end wrenches in sizes such as 1/2 inch, 7/16 inch, 5/8 inch and 15/32 inch.
The wrench having the size as 5/8inch will accommodate the largest bolt.
When the denominator of all the fractions is same , then the fraction with largest numerator is the largest .
For Example : in 2/9 and 7/9 , the largest is 7/9.
In the given question
the different sizes of wrenches are 1/2 inch, 7/16 inch, 5/8 inch and 15/32 inch.
For comparison , first make the denominator equal
To make the denominator equal , take LCM of denominator
LCM of 2,16,8,32 is 32.
so in 1/2 multiplying the denominator and numerator by 16 we get
1/2 inches as 16/32inches ...(i)
In 7/16 multiplying the denominator and numerator by 2 we get
7/16 inches as 14/32 inches ...(ii)
In 5/8 multiplying the denominator and numerator by 4 we get
5/8inches as 20/32 inches ...(iii)
Writing all sizes of wrenches with same denominator
{16/32 , 14/32 , 20/32 , 15/32 }
Rearranging in descending order we get ,
{20/32 > 16/32 > 15/32 > 14/32}
Which means {5/8 > 1/2 > 15/32 > 7/16} ...(from (i),(ii)&(iii) )
Therefore , the wrench having the size as 5/8 inch will accommodate the largest bolt. the correct option is (c)5/8inch .
The given question is incomplete , the complete question is
Workers use box end wrenches in sizes such as 1/2 inch, 7/16 inch, 5/8 inch and 15/32 inch. Which size of wrench accommodates the largest bolt?
(a)1/2 inch
(b)7/16 inch
(c)5/8 inch
(d)15/32 inch
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P, Q, R, S, and T are on line k such that Q is the midpoint of PT, R is the midpoint of QT, and Sis
the midpoint of RT. If PS= 9, then what is PT?
The length of the line segment PT is 72 / 7.
What is the length of a given line segment?
In this problem we have the case of five colinear points, that is, points lying on a line, where the following conditions are fulfilled:
PT = 2 · PQ = 2 · QT (Q is the midpoint of PT) (1)
QT = 2 · PR = 2 · RT (R is the midpoint of QT) (2)
RT = 2 · RS = 2 · ST (S is the midpoint RT) (3)
PS = 9 (4)
PT = PS + ST (5)
By (4) and (3) in (5):
PT = 9 + RT / 2 (5b)
(1) in (5b):
2 · QT = 9 + RT / 2 (5c)
(2) in (5c):
4 · RT = 9 + RT / 2
(7 / 2) · RT = 9
RT = 18 / 7
By (5b):
PT = 9 + 18 / 14
PT = 9 + 9 / 7
PT = 72 / 7
The length of the line segment PT is 72 / 7.
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During migration, a gray whale swam 5,040 miles, The whale swam a total of 672 miles during its first 7 days of migration. If the wliale swam at the same rate during the entire migration, how many miles did it swim during the first 30 days of migration?
Answer: 1,176
Step-by-step explanation:
I need help please with this math problem I’ve been having a really hard time trying to figure it out
Answer:
The height of the tree would be 30 ft.
Step-by-step explanation:
This is because the smaller triangle would be 6/12 and the bigger triangle would be x/60. When you cross multiply these you find that x is 30.
Which is the equation of a line that has a slope of 1/2 and passes through point (-2,3)
Answer:
y = 1/2x + 4
Step-by-step explanation:
8.
Which of the following is not sufficient to
prove a quadrilateral a parallelogram.
a. Show both pairs of opposite sides congruent.
b. Show both pairs of opposite angles congruent.
c. Show both pairs of opposite sides parallel.
d. Show one pair of opposite sides congruent and
the other pair of opposite sides ||-
e. Show the diagonals bisect each other.
I need to know how to do the equation shown in the attached jpeg file.
The value of A from the given expression is 4288.5
Solving exponential equationsExponential equations are inverse of logarithmic equation and the standard form of the equation is given as:
y = ab^x
Given the expression below:
A = 3000(1+0.018/12)^(12*2)
Simplify for the value of A
A = 3000(1+0.015)^24
A = 3000 (1.015)^24
A = 3000 (1.4295)
A = 4288.5
Hence the value of A from the given expression is = 4288.5
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HELLLLLPPPP MEEEE
Solve for x in the following problem Remember to align your variables.
5x + 2y = 12
-3x = 10 + 2y
Answer:
x= [tex]\frac{12}{5}[/tex]-[tex]\frac{2y}{5}[/tex]
x=[tex]-\frac{10}{3}[/tex]-[tex]\frac{2y}{3}[/tex]
Two bags contain coloured cubes.
Bag 1 has 2 green cubes and 1 yellow cube.
Bag 2 has 3 green cubes and 1 yellow cube.
Determine each probability if you choose 2 cubes from Bag 1 without returning the first cube and 1 cube from Bag 2. What's the probability of getting all three cubes are the same colour.
The required probability would be 0.57, representing getting all three cubes are the same color.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Bag 1 contains 1 yellow and 2 green cubes.
Bag 2 contains 1 yellow and 3 green cubes.
Seven cubes total would be present.
You select one cube from Bag 2 and two cubes from Bag 1 without returning the first cube.
As per the condition,
So the probability of getting all three cubes are the same color would be
⇒ (³c₂ × ⁴c₁) / ⁷c₂
⇒ (3 × 4) / 21
⇒ 12 / 21
⇒ 0.57
Therefore, the probability would be 0.57, representing getting all three cubes are the same color.
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Y hat = -29.8 +2.83
Please help me find the interpret slope!
Answer:
The answer is 32.63
Step-by-step explanation:
Answer:
= −26.97
Step-by-step explanation:
What is y = − 3/10 x − 8 written in standard form?
Answer:
3x + 10 y = -80
Step-by-step explanation:
We are given the equation y = −3/10x − 8 and we want to write it in standard form.
Standard form is written as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot equal 0 and a cannot be negative.
The equation is currently is written in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.
As you can see, in standard form, x and y are on both sides, but in slope-intercept, the equation is solved for y.
So, to start, we can add 3/10x to both sides.
y = -3/10x - 8
+3/10x +3/10x
_______________
3/10x + y = - 8
Now, we have x and y on the same side, but remember that the the coefficients should be integers (non-fractions).
So, we need to clear the fraction.
Multiply both sides by 10.
10(3/10x + y) = 10(-8)
3x + 10y = -80
a group of friends every time they play a game of marbles, they lose 5 marbles as it’s a big playground and they can’t be bothered to look for marbles that roll away somewhere. every time a game of marbles ends (each game takes 10-15 minutes), they collect all their marbles in a big box, hide it behind a tree, and go for a quick run. every time these kids hide all their marbles in a box behind the tree, a very intelligent squirrel sneaks up to the box, and if there are more than 12 marbles in it, the squirrel steals 3 marbles and runs off. if this group of kids started with 120 marbles in total, how many games can they play in total before they have less than 10 marbles left (given that they lose some marbles each time they play, and a squirrel steals some marbles each time they go for a run).
Answer:
14 gamesStep-by-step explanation:
Initial number of marbles = 120Lost at every game = 5Stolen by a squirrel = 3Left = less than 10Let the number of games be x
then lost marbles = 5xstolen marbles = 3xInequality:
120 - 5x - 3x < 10120 - 8x < 10110 < 8xx > 110/8x > 13 rounded downSince there should be more than 0 left, another inequality for it:
120 - 8x > 0120 > 8x x < 15So 13 < x < 15, which leaves us with 14
10 M 4 3 N 2 o 0 0 2 -5 3 0 - Angle MNO is rotated 180 degrees counterclockwise about the origin to form angle M'N'O'. Which statement shows the measure of angle M'N'O? (4 points)
Name the function family that each equation best belongs to.
Use the following answer choices to answer questions 7- 11 (each choice can be used more than once.)
a. Quadratic
b. Absolute Value
c. Linear
d. Exponential
e. Reciprocal
f. Cubic
g. Square Root
h. Cube Root
i. Logarithmic
Answer:
you dont have 7 to 11
Step-by-step explanation:
13.a
15.a
12.i
14.h
Use the diagram to complete these statements. If m26 = 50°, then m2 = 50° If m 25 = 70°, then m = 70 What is the measure of 22?
m2 2 =
Answer: 1,3,60°
Step-by-step explanation:
Which of the following are not polynomials?
Answer:
A
C
and
D
Step-by-step explanation:
Below is the table of values of a function. Write the output when the input is n.
input 5 6 8 n
Output 2 3 5
What’s is the last output?
4/5 + 3/15 - 2/3 please
Answer:
1/3
Step-by-step explanation:
4/5 + 3/15
We first find a common denominator which will be 15.
Multiplying the top and bottom of 4/5, we have 12/15
12/15 + 3/15 = 15/15 = 1
1 - 2/3 is 1/3