Given:
18% increase followed by a 13% decrease.
To find:
The single percentage equivalent to a 18% increase followed by a 13% decrease.
Solution:
Let a number be 100.
If it is increased by 18% then the number becomes
[tex]Number=100+\dfrac{18}{100}\times 100[/tex]
[tex]=100+18[/tex]
[tex]=118[/tex]
Then, it is decreased by 13%.
[tex]Number=118-\dfrac{13}{100}\times 118[/tex]
[tex]=118-15.34[/tex]
[tex]=102.66[/tex]
New number is 102.66.
Now, the percentage change is
[tex]\%\text{ Change}=\dfrac{\text{New number - Initial number}}{\text{Initial number}}\times 100[/tex]
[tex]\%\text{ Change}=\dfrac{102.66-100}{100}\times 100[/tex]
[tex]\%\text{ Change}=\dfrac{2.66}{100}\times 100[/tex]
[tex]\%\text{ Change}=2.66\%[/tex]
Therefore, the Single percentage change is 2.66%.
Determine if the linear equations are parallel, perpendicular, or neither.
y = - 2x, 2y = x, 4y = 2x + 4
a
perpendicular
b
neither
c
parallel
Answer:
C. Neither
Step-by-step explanation:
The first equation is
This equation is already in the slope-intercept form;
The slope of this equation is 2.
The second equation is .
This equation is also already in the slope-intercept form.
The slope of this equation is .
Since the two slopes are not the same, the two lines are not parallel.
If these two lines are perpendicular, then the product of their slopes is -1.
But which is not equal to -1.
Therefore the two lines are also not perpendicular.
The correct choice is C.
Change this Mixed number into a improper fractions: 1 and 4/5
Answer:
9/5
Step-by-step explanation:
What I do is look at the bottom number and add that to the top number how ever many time the whole number is.
The mixed number to the equation would be 9/5
_______divisible by both 2 and 5
Step-by-step explanation:
____2__divisible by both 2 and 5
Is the function a polynomial function?
f(x) = 4 -1/x^2
Answer:
yes
Step-by-step explanation:
What set of ratio below is not equivalent to 3:4
Answer:
6
8
,
9
12
,
12
16
Step-by-step explanation:
please help me. i am so confused please
Answer:
what is the question above what you are showing in the picture ?
Step-by-step explanation:
it will help a lot
How did the hundredths grid model help you calculate percents greater than 100% and percents expressed using decimals and fractions?
Answer:
How is genetic information passed from parents to offspring in humans?
But when people talk about genes being passed on, they generally don't mean genes being passed on from cell to cell during cell division. Instead, they usually mean genes being passed on from parents to children. This is known as "heredity" or "inherited genes."
Step-by-step explanation:
6. A piece of cardboard is cut in an L-shape as
shown below. Find the total area of the
cardboard
Am
10m
12m
Answer: a= 120
Step-by-step explanation:A = height times width, 10 times 12 is 120 :)
What is the degree of the polynomial below?
4x2+3x2 +6x+5
A. 3
B. 0
C. 1
O D. 2
Step-by-step explanation:
What is the total magnification if we using objective lens 4x and our eyepiece (ocular) lens is 10x
40x
100x
400x
1000x
Answer:
Simplify: (4x2 - 2x) - (-5x2 - 8x).
Solution:
(4x2 - 2x) - (-5x2 - 8x)
= 4x2 - 2x + 5x2 + 8x.
= 4x2 + 5x2 - 2x + 8x.
= 9x2 + 6x.
= 3x(3x + 2).
Answer: 3x(3x + 2)
Step-by-step explanation:
Hope it help
Mar, me as brainliest
Hiiioo please help me:)
Question: What is the sum of the exterior angles for a 1000 sided polygon?
Answer:
I beleive all regular n-gon's exterior angles add up to 360
Step-by-step explanation:
The diagram below models the length from the center of a wind turbine to the tip of one
of it's blades
blade
The turbine travels 74x feet in one rotation. What is the length of the blade, or radius of
the circle formed by the turbine?
37 feet
18.5 feet
23.57 feet
74 feet
Answer:
i need help too
Step-by-step explanation:
The Martin family has three children. One is in elementary school, one is in middle school, and one is in high school. They are moving and would like to
live at a location that is the same distance from each of the three schools. They have mapped the schools in a coordinate plane. Determine the
coordinates of the best location that will be equidistant from all three schools.
Answer:
Answer is 1/2,-1 1/2
Step-by-step explanation:
The coordinates of the best location that will be equidistant from all three schools is; (-0.085, -2.232).
What is circumcenter of a triangle?The circumcenter of a triangle is defined as the point where the perpendicular bisectors of the sides of that particular triangle intersect. In other words, the point of concurrency of the bisector of the sides of a triangle is called the circumcenter.
The coordinates of the 3 points that form a triangle attached in the image are;
A(-4, -2), B(0, 3), C(5, -1)
Since the distances to the circumcenter O from the vertices are all equal.
Then; AO = BO = CO.
From the first equality, we have AO² = BO²
(x + 4)² + (y + 2)² = (x - 0)² + (y - 3)²
⇒ 8x + 16 + 4y + 16 = – 6y + 9
⇒ 8x + 10y = -23 ---(1)
Similarly, from the second equality, we have BO² = CO²
(x - 0)² + (y - 3)² = (x - 5)² + (y + 1)²
⇒ – 6y + 9 = -10x + 25 + 2y + 1
⇒ 10x - 8y = 17 ----(2)
Solving eq 1 and 2 simultaneously gives;
x = -0.085
y = -2.232
Therefore, the coordinates of the best location that will be equidistant from all three schools is; (-0.085, -2.232).
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The ratio of destroyers to battleships in the navy is 20:15. If the total number of boats is 105, how many battleships are there?
Answer:
45
Step-by-step explanation:
20:15 the ratio can be turned to a fraction
20/15
simplify
4/3
so now add the numerator and the denominator and get 7
then do 105/7=15
and then you do
4x15=60 (Destroyers)
3x15=45 (Battleships)
45 is your answer
In 10 years time a father will be twice as old as his daughter. 10 years ago he was six times as old as his daughter. How old is each now?
Answer: the daughter is 15 and the dad is 40
i think unless my math is wrong
Step-by-step explanation:
jon had 500 apples and he gets 111100 more apples. how many apples dose jon haver in all
Answer:
1111600 lol
Step-by-step explanation:
Approximately 55% of the 750 pupil student body voted for Suresh for student body president. How many students voted for him?
338
4125
750
412
Answer:
Step-by-step explanation:
23
Answer:
4125
Step-by-step explanation:
hope u have a good day
what is 21 1/2 -15 7/10?
Answer:
5.8 lemme know if im wrong :)
Step-by-step explanation:
Answer:
5 4/5. ( decimal 5.8)
Step-by-step explanation:
21 1/2 -15 7/10
= 43/2 - 15 17/10
=43/2 - 157/10
=29/5
= 5 4/5
Two points are graphed on a coordinate grid. Point A is located at (-8, -3) . Point B is created by reflecting point A over an axis. Which coordinates could be the coordinates of point B
The point (-8, -3) is reflected on x-axis, we have (-8, 3) and the point is reflected on y-axis, we have (8, -3). Therefore, options A and E are the correct answers.
What is the reflection on x-axis?When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the x-axis is (x, -y).
The given coordinate point A is (-8, -3).
Reflection on x-axis, we get
(-8, -3)→(-8, 3)
The reflection of point (x, y) across the y-axis is (-x, y).
Reflection on y-axis, we get
(-8, -3)→(8, -3)
Therefore, options A and E are the correct answers.
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(-7 - 2n)(-0.6) simplify equation
Answer:
4.2 + 1.2 n
hope this helps!
Solve the inequality
x2-x-12 < 0
+
Step-by-step explanation:
x2-x-12<0
x2-x<12
x=12
Of the seeds Quincey planted in his tomato garden, 75% grew into mature plants. If Quincey has 39 tomato plants in his garden, how many seeds did he plant?
PLEASE HELP WORTH 70 POINTS
Answer:
52 seeds.
Step-by-step explanation:
So, 3/4 of his plants have grown. SO, 3/4 = 39 plants, and if we divide by 3, we get 1/4 of the plants are 13 plants. SO, if we want to find 4/4, we can multiply 13*4=52 seeds.
Quincey planted 52 seeds in total.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
75% grew into mature plants.
If Quincey has 39 tomato plants in his garden.
let x number of seed he planted.
So, 75% of x= 39
75x/100= 39
75x = 3900
x = 52
Hence, He planted 52 seeds.
Learn more about Percentage here:
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Which one of these is x please help
Answer:
1/2
Step-by-step explanation:
Question: The table shows pairs of random digits. The pairs in each group simulate the 5 shots taken by the opponent.
The paired digits 00 to 99 represent 100 shots.
Let 00 to 72 = a shot that is saved. Which digits represent a goal scored? Explain.
Answer:
ANSWER
Step-by-step explanation:
Write a function rule for “The output is 10 less than the input.” Let x be the input and let y be the output.
Answer:
x-10=y
Step-by-step explanation:
the output (y) is 10 less ( -10) than the input (x)
a. Y = x + 7
-5y + 3x = -13
systems of equations
Which polygon appears to be regular?
Figure A
Figure B
Figure C
Figure D
Answer:
Figure B
Have a good day
which similarity statement is true for the triangles shown?
- ABC = DEF
- ABC = FED
Answer:
I’m pretty sure it’s Triangle ABC is congruent to Triangle DEF.
Step-by-step explanation:
If you rotate Triangle DEF to where the 90 degree angle is on the bottom right, you can the compare the two triangles. You can divide 300/25, 240/20, and 180/15. They all result in 12 meaning they are congruent and similar in that way. (I’m only 90% this is right btw)
Write 2.063 in word form
Answer:
D
Step-by-step explanation:
When you say "and" its representing a decimal it also ends in the thousandTHS
Answer:
two and sixty three thoundths
Step-by-step explanation:
Matthew needs a new aquarium for his fish. The pet store has a fish tank in the shape of a rectangular prism that measures 5 feet long by 2 feet wide by 4 feet high. Matthew needs a fish tank that has a volume of at least 35 cubic feet. Will this fish tank be big enough?
Answer: Yes.
Step-by-step explanation:
5 • 2 • 4 = 40
a kindergartden class has 9 girls and 11 boys in class . what is the percent of the class is girls
Answer:45%
Step-by-step explanation: