On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The
number b varies directly with the number a. For example b = 2 when a = -2. Which equation represents this direct
variation between a and b?
b = -a
-b= -a
b - a = 0
b(-a)=0
Answers
Answer:
b=-a
Step-by-step explanation:
we know that b is located the same distance from 0 as another number, a, but in the opposite direction.
so the sum of the two numbers equal zero
a+b=0
a=-b or b=-a
Related Questions
Simplify the expression
(C^4/3 x b^1/2)^-3
Answers
Answer:
3 b 11 6
Step-by-step explanation:
3 b 1 2 ⋅ b 4 3
Move
b 4 3 . 3 ( b 4 3 b 1 2 )
Use the power rule
a m a n = a m + n
to combine exponents.
3 b 4 3 + 1 2
To write
4 3
as a fraction with a common denominator, multiply by
2 2 . 3 b 4 3 ⋅ 2 2 + 12
To write 1 2
as a fraction with a common denominator, multiply by
3 3 . 3 b4 3 ⋅ 2 2 + 1 2 ⋅ 3 3
Write each expression with a common denominator of
6
, by multiplying each by an appropriate factor of
1 .
Tap for more steps...
3 b 4 ⋅ 2 6 +3 6
Combine the numerators over the common denominator.
3 b 4 ⋅ 2 + 3 6
Simplify the numerator.
Tyler’s math class found that it would take 2.5×10^8 dollar bills to cover a square mile area. The surface area of the United States is about 3.8×10^6 square miles. About how many dollar bills are needed to cover the United States?
6.3×10^14
9.5×10^14
6.3×10^48
9.5×10^48
Answers
Answer:
9.5×10^14
Step-by-step explanation:
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The number of dollar bills are needed to cover the United States, when 2.5×10^8 dollar bills to cover a square mile area is 9.5×10^¹⁴.
What is the exponent power with base 10?To write the big number in short form, we write them in the positive power of 10.
To write the very small number, we write them in the negative power of 10.
Tyler’s math class found that it would take 2.5×10^8 dollar bills to cover a square mile area.
The surface area of the United States is about 3.8×10^6 square miles.
To find the number of dollar bills are needed to cover the United States, we have to multiply 3.8×10^6 square miles with 2.5×10^8 dollar bills.
Let suppose it needed n dollar bills. Thus,
\(n=3.8\times10^6\times2.5\times10^8\\n=3.8\times2.5\times10^6\times10^8\)
When the base is same in multiplication operation, add the power. Thus,
\(n=3.8\times2.5\times10^6\times10^8\\n=3.8\times2.5\times10^{6+8}\\n=9.5\times10^{14}\)
Thus, the number of dollar bills are needed to cover the United States, when 2.5×10^8 dollar bills to cover a square mile area is 9.5×10^¹⁴.
Learn more about the exponents with base 10 here;
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Can someone explain to me domain restrictions? If your explanation is good, you be brainliest!
Answers
Answer:
Domain restrictions allow us to create functions defined over numbers that work for our purposes. Piecewise defined functions are the composition of multiple functions with domain restrictions that do not overlap. Some functions are restricted from values that make them undefined.
Step-by-step explanation:
Do give a brainliest if it helped❤
Someone help me with this ASAP!
Answers
Answer:
48.1 somewhere around 36 and 57
Step-by-step explanation:
Answer:
36-57
Step-by-step explanation:
18.50 x 2.6 = 48.10, which is between those two numbers
The costs of buying a small piece of land and a small car in a remote village since the year 1990 are represented by the following tables:
Determine whether the data described in the tables is best modeled by a linear function or an exponential function.
Answers
Please provide the specific data or tables for the costs of buying a small piece of land and a small car since 1990, and I'll be happy to help you determine whether a linear or exponential function is the best model for the data.
There was ⅓ of a roll of streamers left, but Mrs. Wilson still had 6 more windows to decorate. If she wanted each window to have the same amount of streamers, how much of the roll did each window have?
Answers
convert one third into a decimal and divide that by 6, and convert that into a fraction.
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A company ships prepared meals to customers. The meals are always packed in boxes with the same number of meals in each box. Last month, a customer received a total of 15 meals, packed in 3 boxes, from the company. This month, the customer receives 8 boxes from the company. What is the total number of meals that the customer receives from the company this month?
Answers
Answer:40 meals
Step-by-step explanation:
15/3=5 and 5x8=40
Which phrase below represents the given numerical expression? 12 + 6 *
Answers
Answer:
c 12 increased by 6
Step-by-step explanation:
12+6=18
Please help me! im on an assignment an cant figure it out
Answers
Step-by-step explanation:
The difference beteen 9.2 ounces and 8.1 ounces is 1.1 ounces
and the difference in price is .49
so 1.1 ounces cost .49
$ .49 / 1.1 oz = $ .445 per ounce
Then Reid's bowl should cost 7.8 oz * $ .445 / oz = $3.47
for each of the figures write the absoloute value equation
Answers
Answer:|x -4| -4 = 0
Step-by-step explanation:
Answer:0
Step-by-step explanation:
The box plots show the weights, in pounds, of the dogs in two different animal shelters.
Weights of Dogs in Shelter A
2 box plots. The number line goes from 6 to 30. For the weights of dogs in shelter A, the whiskers range from 8 to 30, and the box ranges from 17 to 28. A line divides the box at 21. For shelter B, the whiskers range from 10 to 28, and the box ranges from 16 to 20. A line divides the box at 18.
Weights of Dogs in Shelter B
Which describes the spread of the data in the two box plots?
The data in shelter A show more spread than the data in shelter B.
The data in shelter B show more spread than the data in shelter A.
The data in shelter A range from about 17 to 28, while the data in shelter B range from about 16 to 20.
The data in shelter A range from about 21 to 28, while the data in shelter B range from about 18 to 20.
Answers
Answer:
The data in shelter A shows more spread than the data in shelter B
-And-
The data in shelter A range from about 17 to 28, while the data in shelter B range from about 16 to 20
For the range/span you look at where the actual box lies and for the spread use the whisker span.
Please help me answer.
Answers
Answer: First blank is 15 then 28 then 25 in the last blank.
Step-by-step explanation:
On the left side column it is going up by 5 and the right column is going up by 7.
And second column is 7,14,21,28,35
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
54 chapters divided by 6 hours to find out how many she reads an hour
Please mark brainliest!
Graph the equation y= -x^2 +10x-21 on the accompanying set of axes. You must plot 5 points including the roots and vertex. Using the graph, determine the vertex of the parabola
Answers
Answer:
The properties of the parabola equation are
Vertex = (-5, -4)
Roots = (-7, 0) and (-3, 0)
Points = (-2, 5) and (-4, -3)
What are parabola equations?
Parabola equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k
How to plot the graph of the parabola?
The equation is given as
y = x^2 + 10x + 21
Next, we plot the graph on the coordinate plane
On the graph, we can see the following properties
Vertex = (-5, -4)
Roots = (-7, 0) and (-3, 0)
Points = (-2, 5) and (-4, -3)
Step-by-step explanation:
https://brainly.com/question/28729977
Answer:
Step-by-step explanation:
Vertex = (-5, -4)
Roots = (-7, 0) and (-3, 0)
Points = (-2, 5) and (-4, -3)
7/8 x 9/8 Please help
Answers
Answer:
Fraccion form: 63/64
Decimal form: 0.98438
the ratio of the number of oranges to apples to bananas is 8:5:2. if there are 120 fruits in total, how many bananas are there
Answers
Answer:
Step-by-step explanation:
To find the number of bananas, we need to determine the proportion of bananas in the total number of fruits based on the given ratio.
Let's assume that the ratio of oranges, apples, and bananas can be represented by 8x, 5x, and 2x, respectively, where x is a common multiplier.
The sum of the parts in the ratio is 8x + 5x + 2x = 15x.
We know that the total number of fruits is 120. Therefore, we can set up the following equation:
15x = 120
To solve for x, we divide both sides of the equation by 15:
x = 120 / 15
x = 8
Now that we know the value of x, we can find the number of bananas by multiplying it by the corresponding part of the ratio:
Number of bananas = 2x = 2 * 8 = 16
So, there are 16 bananas in total.
We can add all the parts to the ratio and get 15. Out of 15 parts, 2 are bananas. Now we can calculate how many fruits are in one part. One fifteenth of 120 is 8, so there are 8 fruits in one part. 2 parts are bananas, so multiplying 8 with 2 gives us our answer, 16.
WILL GIVE BRAINLIEST BUT PLEASE GIVE AN EXPLAINATION
Identify the constant of variation if y =12 when x = 6, given that y varies directly with x. Then write the equation of variation.
Answers
constant variation is 2
y = 2x
So the answer would be y=2x
Because then the opposing variable will recede into the part of the questioned variable
It is like the slope-intercept form!
One fourth times the difference of ten and a variable is two thirds.
A. one fourth times the quantity y minus 10 equals two thirds
B. one fourth times y minus 10 equals two thirds
C. one fourth times the quantity 10 minus y equals two thirds
D. one fourth times 10 minus y equals two thirds
Answers
Answer:
C
Step-by-step explanation:
It seems that the question is asking for the variable to be named \(y\).
Therefore, we can translate the question to the following equation:
\(\frac14(10 - y) = \frac23\)
This perfectly matches answer C, as the quantity of 10 and \(-y\) is \(10 - y\).
The equation to the given situation is 1/4 (10-y) = 2/3. Therefore, option C is the correct answer.
Given that, one fourth times the difference of ten and a variable is two thirds.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the variable be y.
Now, equation for the given situation is 1/4 (10-y) = 2/3
The equation to the given situation is 1/4 (10-y) = 2/3. Therefore, option C is the correct answer.
To learn more about an equation visit:
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i need help with this question please help me
Answers
Answer:
The answer is D.
Step-by-step explanation:
y = mx + b
C = 5/9 (F - 32)
C = 5/9F - 5/9 (32)
Option (D) is correct.
What is the measurement of the longest line segment in a right rectangular prism that is 11.2 centimeters long, 6.6 centimeters wide, and 6 centimeters tall?
Answers
Answer:
Step-by-step explanation:
3.1313109
Answer: the answer should equal 3.131
Step-by-step explanation: as this is the measurement of the longest line in right rectangular prism.
Please got brainliest
. ( 9 × 1 , 000 ) + ( 7 × 100 ) + ( 1 × 10 ) + ( 3 × 1 ) + ( 4 × 1/10 ) What is this as a decimal number?
Answers
Answer:
9713.4
Step-by-step explanation:
We have to use the B O D M A S theorem to solve this.
That is,
B → Brackets
O → Of
D → Division
M → Multiplication
A → Addition
S → Subtraction
Accordingly,
\(\sf ( 9 * 1 , 000 ) + ( 7 * 100 ) + ( 1 * 10 ) + ( 3 * 1 ) + ( 4 * \frac{1}{10})\\\\ 9000+700+10+3+\frac{4}{10} \\\\9713+0.4\\\\9713.4\)
plssssssss answerrrrrrr
Answers
Answer:
3
Step-by-step explanation:
M A T H
Answer:
3
Step-by-step explanation:
A car can be assembled on an assembly line in 6 hours. Assume that the cars are assembled at a constant rate.
. a. How many cars, y, can be assembled in t hours?
b. How many cars can be assembled in a week?
Answers
Answer:
a. \(y = \frac{t}{6}\)
b. y = 28
Step-by-step explanation:
\(y = \frac{t}{6}\)
1 day = 24 hours
1 week = 7 days
In 24 hours:
\(y = \frac{24}{6}\)
y = 4
4 cars/day
In 1 week
\(y =(7)(\frac{24}{6})=7*4\)
y = 28
Find the area of a circle with radius 7 yd.
Use the value 3.14 forn, and do not round your answer.
Be sure to include the correct unit in your answer.
Answers
Answer:
153.86 yd²
Step-by-step explanation:
Area of circle = \(\pi r^2\)
Area = 3.14 × 7 ×7
Area = 153.86 yd²
Answer:
153.86 yd²
Step-by-step explanation:
Write an algebraic expression to find the number of seconds in n minutes.
n ÷ 60
60 + n
60 ÷ n
60n
Answers
Answer:
60n
Step-by-step explanation:
HELP PLEASE!!!!! PLEASE EXPLAIN WHEN GIVING THE ANSWER!!!! GIVING BRAINLIEST TO THE BEST EXPLANATION!!!!
Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.
Sarah can use the expression 5(2j + 3 + j) to represent the amount of money she can earn.
Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did Sarah earn?
Answers
Answer:Simplificando
5 (2j + 3 + j) = 0
Reordene os termos:
5 (3 + 2j + j) = 0
Combine termos semelhantes: 2j + j = 3j
5 (3 + 3j) = 0
(3 * 5 + 3j * 5) = 0
(15 + 15j) = 0
Resolvendo
15 + 15j = 0
a verdadeira questão é por que o vizinho de Sarah quer dentes de tubarão
Step-by-step explanation:
Mova todos os termos contendo j para a esquerda, todos os outros termos para a direita.
Adicione '-15' a cada lado da equação.
15 + -15 + 15j = 0 + -15
Combine termos semelhantes: 15 + -15 = 0
0 + 15j = 0 + -15
15j = 0 + -15
Combine termos semelhantes: 0 + -15 = -15
15j = -15
Divida cada lado por '15'.
j = -1
Simplificando
j = -1
Tubarão ou cação é um tipo de peixe de esqueleto cartilaginoso e um corpo hidrodinâmico (com exceção dos Squatiniformes, Hexanchiformes e Orectolobiformes)
4 1/15 round to the nearest 1000th
Answers
Answer:
0.067
Step-by-step explanation:
Ashley want to buy a used car. It costs $10,000. She has saved $2,500 to pay right away and will pay the rest in equal monthly payments of $500. How many months will it take to pay off the car?
Answers
Answer:
15
Step-by-step explanation:
10,000 - 2,500 = $7,500
$7500 ÷ $500 a month = 15 months
Find the degree of -5w^3-4w^2+7w+16
Answers
Answer:
3
Step-by-step explanation:
the degree is the highest power of the variable.
on August 1st Iris bank balance was $300 during the month she wrote checks for $450 and $115.25 and made one deposit of $225 .which of the following best represents her checking account balance at the end of the month?
Answers
Answer:
B) -$40.25
Step-by-step explanation:
300-450=-150
-150-115.25= -265.25
-265.25+225=-40.25