Answers
Answer:
a = 1
Step-by-step explanation:
[tex]\frac{2}{3} (9x - 3) = 2(3x - a)[/tex]
One must simplify this expression, by distributing. In order to find a solution, where x has infinite solutions, one must make this equation an identity. That means that the equation will hold true, no matter what value of x is plugged in.
[tex]\frac{2}{3} (9x - 3) = 2(3x - a)[/tex]
Distribute;
6x - 2 = 6x - 2a
Inverse operations;
6x - 2 = 6x - 2a
-6x -6x
-2 = -2a
1 = a
For this equation to be true no matter what, a must equal 1.
Answer:
1
Step-by-step explanation:
Related Questions
The population of town A increases from 1,346 to 1,500. In the same period, the population of town B increases from 1,546 to 1,800.
a. Find the percent of increase in population for town A and for town B.
b. Which town had the greater percent of increase?
Answers
a. you would do 1346/1500 to get 0.8973333333333. i you want to check that you can do 1346/0.8973333333333 and you would get 1500. I'm just going to round 0.8973333333333 down to 0.897. So for town B you would also do 1546/1800 which brings you to 0.858889 you can again do 1546/0.858889 but i found that 0.8588888888 gives you the most accurate answer. so rounding that down to 0.859
b. you can see that 0.897 is a larger percent that 0.859 so town a had a larger increase than b
If point N is the incenter of triangle HIJ, Angle KHN = 15*, Angle KIL = 66®, and Angle LJN = 27. What is the degree measure
of Angle KHM?
Answers
Clare analyzes oil prices in her economics class. She finds that the mean oil price between 1988 and 2002 is $27 per barrel with a standard deviation of $5.50 per barrel. Select the z-score for a price of $35.25 per barrel. (Select one answer)
0.67
1.5
8.25
-8.25
Answers
Answer:
Option 2: 1.5 is the correct answer.
Step-by-step explanation:
Given information is:
Mean = μ = $27
SD = σ = $5.50
A z-score simply tells us how far a selected data value from the mean is.
Z-score is denoted by z and is given by the formula:
[tex]z = \frac{x-mean}{SD}[/tex]
Let x = $35.25
Putting the values of mean and SD we get,
[tex]z = \frac{35.25-27}{5.50}\\z = \frac{8.25}{5.50}\\z =1.5[/tex]
The value of z-score for a price of $35.25 per barrel is 1.5
Hence,
Option 2: 1.5 is the correct answer.
Point M is the midpoint of AB. If the coordinates of point Mare (2, 8) and the coordinates
of A are (10, 12), what are the coordinates of B?
Answers
Answer:
(-6,4)
Step-by-step explanation:
add the x coordinates of point A and B(take x coordinate of B as X),then divide the sum of 2 and equal it to 2 which is the x coordinate of the midpoint.
then repeat the same procedure for the y coordinates ,take the sum of y corrdinates divide by 2 and equal to 8.
then u can obtain the coordinates of B.
What is the decimal expansion of the following fraction 1/5 A.0.2 B.1.5 C.0.2 D.0.15
Answers
A surfboard was originally priced at $199. The store reduced the price by 10%. A customer bought the surfboard using a coupon for $20 off. How many dollars did the customer pay?
Answers
plz do it plz do it all i will givebrainlest and thanks to best answer
Answers
Answer:
hey
Step-by-step explanation:
BRAINLIEST TO RIGHT ANSWER! NEED HELP ASAP!
Answers
Answer:
y = 3x - 8
Step-by-step explanation:
Line is passing through the points (2, - 2) & (0, - 8)
Slope of line
[tex] \: m = \frac{ - 8 - ( - 2)}{0 - 2} \\ \\ = \frac{ - 8 + 2}{ - 2} \\ \\ = \frac{ - 6}{ - 2} \\ \\ = 3 \\ \\y-intercept = b = - 8\\ \\equation \: of \: line \: in \:slope \:\\ intrecept \: form \: is \: given \: as \\ \\ y = mx + b \\ \\ y = 3x + ( - 8) \\ \\ \huge \red {y = 3x - 8}[/tex]
What is the value of 6^2-(9-5)÷4^2
Answers
Answer:
35 3/4
Step-by-step explanation:
solve the following quadratic equation by completing the square. if you need to round to the nearest tenth. x² - 20x = -75
Answers
452x12÷blank=452
Please help!
Answers
Answer: 12
Step-by-step explan
The opposte to dividing by 12 is multiplying by 12
What is the GCF of 105x,30x and 75x?
I
Answers
Answer:
15x
Step-by-step explanation:
8+4=
write the answer below
Answers
Answer:
12
Step-by-step explanation:
Find the retail price if original price is $25 and markdown 12%
Answers
Answer:
Take $25 times .12 which is 3
Then take 25-3 which is $22
Your sale price is $22
Step-by-step explanation:
Pls help. question is in the picture above
Answers
Answer:
15 meters
Step-by-step explanation:
Because angle BFD and angle DFC are supplementary (they form a 180 degree angle, as you can see from the fact that they both form a straight line) and angle BFD is 90 degrees, angle DFC must also be 90 degrees. Since it is 90 degrees, you can use the Pythagorean theorem to solve for DF as a part of triangle DFC=> 8^2(x^2)=17^2.
=>64(x^2)=289
subtract 64 from both sides=> x^2=225
take the square root of both sides=> x=15
Since triangles BED and BFD are equal by way of angle-side-angle, we know that all of their corresponding sides and angles are equal, and therefore, DF=DE, so DE=15 meters
Kelly is making greeting cards, which she will sell by the box at an arts fair. She paid $20 for
a booth at the fair, and the materials for each box of cards cost $3. She will sell the cards for
$7 per box of cards. At some point, she will sell enough cards so that her sales cover her
expenditures. How many cards will that take?
Write a system of equations, graph them, and type the solution.
50
40
30
Dollars ($)
20
10
Answers
Answer:
the materials to make the cards:)
Step-by-step explanation:
Please show step by step how to do this (2-step) equation
3x + 6 = 21
Answers
Answer:
x = 5
Step-by-step explanation:
3x + 6 = 21
3x = 21 - 6
3x/3 = 15/3
x = 5
At Pizza Pi, 48% of the pizzas made last week had extra cheese. If 12 pizzas had extra cheese, how many pizzas in all were made last week?
Answers
Answer:
25 pizzas
Step-by-step explanation:
48% of 25 = 12.
in this case 13 would be the 52%
brainlist would be nice
help me pls !! i don’t understand
Answers
What is the answer to the question?
Help help help help me
This is very important (◕દ◕)
Answers
9514 1404 393
Answer:
C) √3
Step-by-step explanation:
The repeating decimals are both single digits, beginning at the decimal point. So, their equivalent is that digit divided by 9:
[tex]0.\overline{4}=\dfrac{4}{9}\\\\0.\overline{9}=\dfrac{9}{9}=1[/tex]
This means the given expression can be simplified to ...
[tex]\dfrac{3\sqrt{0.\overline{4}}+\sqrt{0.\overline{9}}}{\sqrt{3}}=\dfrac{3\sqrt{\dfrac{4}{9}}+\sqrt{\dfrac{9}{9}}}{\sqrt{3}}=\dfrac{3\cdot\dfrac{2}{3}+1}{\sqrt{3}}=\dfrac{3}{\sqrt{3}}=\boxed{\sqrt{3}}[/tex]
What postulate or theorem can be used to prove that these two triangles are congruent?
PLEASE HELP I REALLY NEED IT!!!
I will give brainliest.
Use the picture
Answers
Step-by-step explanation:
The attached figure shows two triangles AOB and MON.
In triangles AOB and MON,
AB = MN (Given )
∠AOB = ∠MON (vertically opposite angles)
∠O = ∠O (common)
∴ ΔAOB ≅ Δ MON (ASA)
Angle-side-angle is the postulate that can be used to prove that two triangles are congruent.
The points on the graphs represent relations. Classify these relations according to whether or not they are functions.
Answers
Answer:
1 and 2 is a function.But the third one isn't.
explanation:
When there is more than one point on a vertical line that is not a function.Like in the third picture points (2,1) and (2,-1) are on the same vertical line.
P.S: it is a function if there is more than one point on a horizontal line.
Why you may ask:
x are the domain, y are the codomain. X can have multiple Y but Y can't have more than one X. To embody: think Xs as mothers and Ys as childrens , a mother can have more than one children but every children can have only one biological mother.
Help me classify the triangles by its sides and measuring its angles :)
actually answer this
Answers
Answer:
1. isosceles
2. Right
Step-by-step explanation:
Here, we want to give the kind of triangle in each of the diagrams
1. From what we can see, we have two sides equal to each other using the given markings. More specifically, the base sides are equal and that makes the triangle an isosceles triangle
2. From what we can see here, we have an angle of 90 degrees on one of the sides of the triangle. In other words, we have a right angle on one of the sides.
This makes the triangle, a right triangle
100 points and brainlyest which high school should i consider? l live in long beach California and the closest high school is Wilson so I live around that area and I like film art and crafts.
Answers
Answer:
then you should go there
Step-by-step explanation:
Renaissance High School for the Arts
I asked some friends and they told me the above
Have you experienced climbing a hill, a mountain, stairs or ladders? How about
pushing someone on a wheelchair down the ramp? Which do you think is difficult to climb,
a very slanting ladder or a less slanting ladder? Do you think there would be difference in
speed when you walk on a flat ground than walking down a hilly road? Would it be possible
to walk on the wall? What danger would it cause?
15
In this lesson, you will find out the answers to these questions and determine the
importance of learning the slope of a line and its applications.
Answers
Please help me out- ;-;
A right triangle has legs of lengths a and b, and hypotenuse of length c. According to the Pythagorean Theorem, which of the following is true?
A.) (a + b)^2 = c^2
B.) a^2 – b^2= c^2
C.) a^2 + b^2= c^2
D.) a^2 = b^2 + c^2
Answers
Answer:
C
Step-by-step explanation:
It is C. because it is the formula for Pythagorean theorem.
Find the real numbers x and y that make the equation true. (2 points)
-3 + yi = x + 6i
Answers
Answer:
x = - 3, y = 6
Step-by-step explanation:
For the 2 sides to be equal then the coefficients of the imaginary terms and the real terms must be equal.
Given
- 3 + yi = x + 6i , then
x = - 3 and y = 6
Set up a proportion and use cross multiplication to solve.
What number is 12.5% of 64?
9.5
8
512
19.5
Answers
12.5 x 64 /100 = 8
Therefore, 12.5% of 64 is 8 (or B).
What number can I multiply by to get 50, but add to get 14?
Answers
Answer:
there is no number that can do that the closest you can get is 7 and 7 giving you 49 when multplied
Step-by-step explanation:
Answer:
10 × 2 × 2 = 50
10 + 2 + 2 = 14
The sum of 3 and a number is between -2 and 17.
Answers
Answer:
The number, x = { -5 < x < 14}
This means x is any integer between -5 and 14
Step-by-step explanation:
From the statement, let the number be x
3 + x = y; y = { -2 < y < 17}
This means that y is any integer between -2 and 17
Therefore, x = y - 3
Subtract 3 from the limits of y
i.e. -2 - 3 = -5 and 17 - 3 = 14
Hence, x = { -5 < x < 14}