9514 1404 393
Answer:
undo what is done to the variable
Step-by-step explanation:
As with any "solve for" problem, it is a good idea to take a look at what is being done to the variable you're solving for.
Starting "as is"
Here, the value 2.5 is added to it, and the sum is multiplied by -5 (which we notice is negative).
In general, you want to "undo" what is done to the variable — in reverse order. What was done:
add 2.5multiply by -5If we adopt that strategy, it means we first need to undo multiplication by -5. That is, we must either (a) multiply both sides by -1/5, or (b) divide both sides by -5. Either choice will require that the sense of the comparison be reversed, so you will have ...
( ) < (x + 2.5)
After that, you need to "undo" the addition of 2.5. That is accomplished by adding -2.5 to both sides of the equation.
__
Simplifying first
For many problems that have fractions and/or parentheses, it can work well to eliminate both before you start with your "undo" strategy. Here, a first step can be to simplify the inequality, eliminating parentheses. This means you will use the distributive property to multiply each term inside parentheses by the (negative) factor outside.
Having done that, you find the "what was done to the variable" list is slightly different:
multiply by -5add -12.5As a consequence the "undo" steps are slightly different. Addition is still reversed by adding the opposite. Multiplication is still reversed by multiplying by the reciprocal, or by division (same thing).
As before, (and as always), what you do to one side of the inequality, you must also do to the other side. If multiplication or division by a negative number is involved, the comparison symbol must be reversed.
_____
About Negative Multiplication/Division
Above, we have noted that multiplication or division by a negative number requires reversal of the comparison symbol. For example, ...
starting with -1 > -2
multiplying both sides by -1 gives ...
ending with 1 < 2
__
When the (only) variable term has a negative coefficient, there is another strategy you can use that does not require the comparison to be reversed. You can add the opposite of that term to both sides of the inequality. For example, ...
starting with -5x < -38
we can add 5x to both sides to get ...
0 < -38 +5x . . . . . now the variable has a positive coefficient
This lets us proceed with the solution without worrying about the sense of the inequality. (Note that the variable will be "greater than" some value.)
_____
More about solving strategy
The rules that make Algebra possible are the rules of equality. If you look them up, you may find separate versions for addition, multiplication, subtraction, division. If you realize that subtraction is a form of addition, and that division is a form of multiplication, there are really only two—and those can be simplified to ONE RULE: always do the same operation on both sides of the equal sign. The same rule applies to inequalities. You will stay out of trouble if you remember and follow this rule. (There are many "shortcut" versions that go by names like "cross-multiply" and others. They are basically this rule with some steps not shown.)
When it comes to applying functions to inequalities, you need to consider carefully whether the function preserves the ordering relationship (>, ≥, <, ≤). Some functions do not, or have different behavior in different domains, so paying attention is required. Multiplication by a negative number is just the tip of the iceberg here.
Tara's meal cost $8.60. She had to pay sales tax of 7%. Then she left a 10% tip based off the new total. What did she spend altogether?
Answer:
She spent $10.12
Step-by-step explanation:
8.60*.07 = .602, round that to .60
8.60 + .60 = 9.2
9.2*.10 = .92
9.2 + .92 = 10.12
Answer:
$10.12
Step-by-step explanation:
Do $8.60 + $8.60(7%) = $9.20
Then $9.20 + $9.20(10%) = $10.12
Estimate the perimeter of the figure to the nearest whole number.
perimeter: about __ units
Answer:
20
Step-by-step explanation:
count the squares that are outlined with the red line
Please turn these into a diagram, thanks. (Dw about doing the whole circle and value of expression things)
Answer:
4+2(5)+(−3)
4+2×5−3
4+10−3
14−3
11
I need help with math
History question it’s hard
Answer:
How did British colonists differ from French colonists in the 1700s? The British did not claim land for farming, but the French did. The British settled in only one area, while the French established thirteen colonies. The British settled towns and farms, while the French mostly trapped and traded.
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
PLEASE HELP, CORRECT ANSWER GET BRANiliest
Answer: A parallelogram is a quadrilateral with both pairs of opposite sides parallel.
Step-by-step explanation: If a quadrilateral has 2 sets of opposite sides congruent, then it is a parallelogram.
Two options are described below.
Option A: You receive 1¢ on the first day, 3¢ on the second day, 9¢ on the third day, 27¢ on the fourth day, and so on, tripling each day.
Option B: You receive $100 each day.
You will receive the money that is offered on day 10. Which option would you choose?
A geometric series is the sum of an unlimited number of terms with a fixed ratio between them. The second option is more profitable.
What is geometrical series?A geometric series is the sum of an unlimited number of terms with a fixed ratio between them.
Option A: You receive 1¢ on the first day, 3¢ on the second day, 9¢ on the third day, 27¢ on the fourth day, and so on, tripling each day.
The sum of money till the 10th day will be
= a(rⁿ-1)/(r-1) = 1(3¹⁰-1)/(3-1) = 29,524¢ = $295.24
Option B: You receive $100 each day.
The sum of money till the 10th day will be = 10×$100 = $1,000
Hence, the second option is more profitable.
Learn more about Geometrical Series:
https://brainly.com/question/4617980
#SPJ2
Help!! check screenshot below.
Answer:
x < 7
Step-by-step explanation:
7x < 49 (Given)
x < 7 (Divided 7 on both sides)
Answer:
Answer. x < 7
Step-by-step explanation:
hope this helps :>
Solve 4 + x > 6. Graph the solution. A)graph1 B)graph2 C)graph3 D) graph4
Given the inequality expression 4 + x > 6, we need to solve for x and graph the equivalent graph of the function;
Given
4 + x > 6Subtract 4 from both sides of the inequality
4 + x - 4 > 6 - 4x > 6 - 4x > 2Next is to graph the solution x > 2 on the number line.
Since the inequality sign is greater than sign, the line arrow will point towards the right of the number line and the circle will be an open circle.
Learn more on inequality graph here: https://brainly.com/question/11234618
Answer:
answer below
Step-by-step explanation:
Given the inequality expression 4 + x > 6, we need to solve for x and graph the equivalent graph of the function;Given4 + x > 6Subtract 4 from both sides of the inequality4 + x - 4 > 6 - 4x > 6 - 4x > 2
is 22/35 inits simplest form??
PLEASE HELP ME BRAINLIEST TO RIGHT ANSWER
Line A passes through the points (3,4) and (-1,2). Line B passes through the points (-12,0) and (-6,-4). At what point do the lines intersect?
Can you put it in any form instead of a point so I can correctly plot it in
please help, thank you
Answer:
5 2/3
Step-by-step explanation:
because since x =3 and y=4 the numerator on the fraction is 34. And since z=6 then 6 is the denominator, so the fraction is 34/6. and if you simplify that, you answer will be 5 2/3.
hope this helps! <3
Pictures of the problem is attached! :)
Answer:
I Believe the answer would be $16 x 128%
Have anybody did the 4.3.4 Practice: Frequency Tables ap3x practice assingment? if so can you help me?
Step-by-step explanation:
yey8wt859ye9yryroyeydoyd9yd
i need a hw helper to help me with my assignments
My brain just self-destructed itself I will give brainliest to whoever has a big enough brain to answer this and explain it
Answer Hex we just learned it today
Answer:
i could be wrong im sorry if i am but i think im right.
Step-by-step explanation:
hexagon and square <><><><><><><><><><><><>
PLEASE HELP WILL MARK BRAINLIEST!!
Answer:
5.5
Step-by-step explanation:
The median is the middle number in a set of numbers.
3 4 5 6 7 8
(A) (B) (C) (C) (B) (A)
In this case, since there is no middle number, it is 5.5
Hope this helps!
A park is in the shape of a rectangle 36 kilometers long and 27 kilometers wide. If you walk diagonally across the park, how far would you walk?
Answer:
45 kilometers
Step-by-step explanation:
Use Pythagorean theorem to set up the equation 36^2+27^2=c^2
Eddie measured his aquarium using a small fish food box. The box has a base area of 6 square inches and a height of 4 inches. Eddie found that the volume of his aquarium is 3,552 cubic inches.
How many boxes of fish food could fit in the aquarium?
Enter your answer and complete the explanation.
anybody please help me over here
Answer:
i agree
Step-by-step explanation:
because when you multply 3.141592654 times 5 you get 15.70796327.
Answer:
I really argree with this
Step-by-step explanation:
when you multply 3.141592654 times 5 you get 15.70796327.
(15 points) PLEASE HELP ME ANSWER THESE QUESTIONS!! (USE IMAGE AND DON'T ANSWER IF YOU'RE NOT GOING TO HELP!!)
Answer:
8: No
9: All
10: All
Step-by-step explanation: (I'm not positive, but this is what I got)
PLEASE HELPPPPP!!!
C: the x-value is between one and two and the Y value is between -3 and -4
D: The x-value is between -3 and -4 in the Y value is between one and two
i need help pls and explainnnnn
The map scale on a map is ½ inch represents 200 miles. If the distance measured between two cities on the map is 4 inches, what is the actual distance between the two cities?
Hello! I really need your help! This is my question:
The radius of a circle is 333 units.
What is the diameter of the circle?
Answer:
666
Step-by-step explanation:
multiply the radium by 2 and you get diameter
Brianna went shopping for a new video game because of a sale. The store was offering a 15% discount. If the price on the tag was $23, what would be the price after the discount but before tax, to the nearest dollar and cent?
Answer:
Is it going to be $19.55?
Step-by-step explanation:
Answer:
The answer I got is $3.45, don't know if it's correct, I think the guy above me might be right tho-
expand and simplify these 6 questions
first one: 3(1x + 5)
second one: 4(1x + 9)
third one: 3(2x - 3)
fourth one: 2(3x - 1)
fifth one: 5(1x - 2)
sixth one: 4(1x - 6)
Rectangle A′B′C′D′ is the image of rectangle ABCD after a dilation. What is the scale factor of the dilation? Enter your answer in the box.
Answer:
1/2
Step-by-step explanation:
Hope this helps!
Answer:
1/2
Step-by-step explanation:
on my grandma's death bed, she told me "the awnser to that problem on brainly gotta be 1/2, on my momma bro, 1/2.." she died minutes later
This is 10 points plz help ( NO LINKS )
( ONLY ANSWER THIS IF YOU HAVE AN EXPLANATION AND IF YOU KNOW WHAT THE ANSWER IS)
plz help with # 5 pic below!!!
Answer:
n+6= chnags height
Step-by-step explanation:
Answer:
n+0.6 (that would equal his height)
Step-by-step explanation:
to find chains height you would just add 6 inches. an inch is .6 when measuring in feet
.