Answer:
pi=3.14
Step-by-step explanation:
3.14
Answer:
You’ve studied and now you’re geared up for the ACT math section (whoo!). But are you ready to take on the most challenging math questions the ACT has to offer? Do you want to know exactly why these questions are so hard and how best to go about solving them? If you’ve got your heart set on that perfect score (or you’re just really curious to see what the most difficult questions will be), then this is the guide for you.
We’ve put together what we believe to be the most 21 most difficult questions the ACT has given to students in the past 10 years, with strategies and answer explanations for each. These are all real ACT math questions, so understanding and studying them is one of the best ways to improve your current ACT score and knock it out of the park on test day.
Brief Overview of the ACT Math Section
Like all topic sections on the ACT, the ACT math section is one complete section that you will take all at once. It will always be the second section on the test and you will have 60 minutes to completed 60 questions.
The ACT arranges its questions in order of ascending difficulty. As a general rule of thumb, questions 1-20 will be considered “easy,” questions 21-40 will be considered “medium-difficulty,” and questions 41-60 will be considered “difficult.”
The way the ACT classifies “easy” and “difficult” is by how long it takes the average student to solve a problem as well as the percentage of students who answer the question correctly. The faster and more accurately the average student solves a problem, the “easier” it is. The longer it takes to solve a problem and the fewer people who answer it correctly, the more “difficult” the problem.
(Note: we put the words “easy” and “difficult” in quotes for a reason—everyone has different areas of math strength and weakness, so not everyone will consider an “easy” question easy or a “difficult” question difficult. These categories are averaged across many students for a reason and not every student will fit into this exact mold.)
All that being said, with very few exceptions, the most difficult ACT math problems will be clustered in the far end of the test. Besides just their placement on the test, these questions share a few other commonalities. We'll take a look at example questions and how to solve them and at what these types of questions have in common, in just a moment.
But First: Should You Be Focusing on the Hardest Math Questions Right Now?
If you’re just getting started in your study prep, definitely stop and make some time to take a full practice test to gauge your current score level and percentile. The absolute best way to assess your current level is to simply take the ACT as if it were real, keeping strict timing and working straight through (we know—not the most thrilling way to spend four hours, but it will help tremendously in the long run). So print off one of the free ACT practice tests available online and then sit down to take it all at once.
Once you’ve got a good idea of your current level and percentile ranking, you can set milestones and goals for your ultimate ACT score. If you’re currently scoring in the 0-16 or 17-24 range, your best best is to first check out our guides on using the key math strategies of plugging in numbers and plugging in answers to help get your score up to where you want it to. Only once you've practiced and successfully improved your scores on questions 1-40 should you start in trying to tackle the most difficult math problems on the test.
If, however, you are already scoring a 25 or above and want to test your mettle for the real ACT, then definitely proceed to the rest of this guide. If you’re aiming for perfect (or close to), then you’ll need to know what the most difficult ACT math questions look like and how to solve them. And luckily, that’s exactly what we’re here for.
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Ready, set...
21 Hardest ACT Math Questions
Now that you're positive that you should be trying out these difficult math questions, let’s get right to it! The answers to these questions are in a separate section below, so you can go through them all at once without getting spoiled.
#1:
body_ACT_0506_-_56
#2:
body_ACT_0506_-_59
#3:
body_ACT_0809_-_38_J
#4:
body_ACT_0809_-_54
#5:
body_ACT_0809_-_55-1
#6:
body_ACT_0809_-_56
#7:
body_ACT_0809_-_57-1
#8:
body_ACT_0809_-_60
#9:
body_ACT_1112_-__48-1
#10:
body_ACT_1112_-_45
#11:
body_ACT_1112_-_51-1
#12:
body_ACT_1112_-_52
#13:
body_ACT_1112_-_53
#14:
body_ACT_1112_-_58
#15:
body_ACT_1314_-_55-1
#16:
body_ACT_1314_-_59
#17:
body_ACT_1516_-_43
#18:
body_ACT_1516_-_44
#19:
body_ACT_1516_-_52
#20:
body_ACT_1516_-_57-1
#21:
body_ACT_1516_-_58-1
Step-by-step explanation:
Un número consta de dos cifras cuya suma es 9.Si se invierten el orden de las cifras el resultado es igual al número dado más 9 unidades. Encuentra dicho número.
Answer:
45
Step-by-step explanation:
A number consists of 2 digits whose sum is 9 => x + y = 9
If the order of the numbers is inverted, the result is equal to the given number plus 9 units => (10*y + x) + 9 = (10*x + y)
Thus:
x + y = 9 => multiply by -9 => 9*y + 9*x = 81
10*y + x + 9 = 10*x + y => 9*y - 9*x = -9
We are left then that:
9*y + 9*x = 81 (1)
9*y - 9*x = -9 (2)
we add both equations
18y = 72
y = 72/18 = 4
replacing
x + y = 9
x + 4 = 9
x = 5
Therefore the number is (10y + x) => (10 * 4 + 5) => 45
evaluate using distributive property -7/3*5/9+13/3+4/9*-7/3
A bag contains 3 red jelly beans, 3 green jelly beans, and 4 blue jelly beans. If we choose a jelly bean, then another jelly bean without putting the first one back in the bag, what is the probability that both jelly beans will be blue?
Answer:
3/45
Step-by-step explanation:
10 jelly beans in the bag
3 red jelly beans
First pick: P of red jelly bean = 3/10
Second pick P of red jelly bean = 2/9
3/10*2/9 simplified = 3/45
Sandy was given this function. f(x)=3x2−24+1/3 She used the method of completing the square to rewrite the function. In this second step of her process, r and s are real numbers. f(x)=3(x2−8x+r)+1/3+s What are the values of r and s? Enter your answers in the boxes.
Answer:
[tex]r = 16[/tex], [tex]s = -48[/tex]
Step-by-step explanation:
The values of [tex]r[/tex] and [tex]s[/tex] can be found with the help of algebraic manipulation on the second-order polynomial described on statement:
[tex]f(x) = 3\cdot x^{2} - 24\cdot x + \frac{1}{3}[/tex]
[tex]f(x) = 3\cdot (x^{2} - 8\cdot x) + \frac{1}{3}[/tex]
[tex]f(x) = 3\cdot (x^{2} - 8\cdot x + 16 - 16) + \frac{1}{3}[/tex]
[tex]f(x) = 3\cdot (x^{2}-8\cdot x + 16) + \frac{1}{3} - 48[/tex]
By comparing each expression, the results are presented below:
[tex]r = 16[/tex], [tex]s = -48[/tex]
The following table shows the number of points scored last basketball game by each player on the Dragons basketball team.
Player Number of points scored
Daniela 555
Isabella 888
Rafaela 111111
Beatriz 777
Kalin 99
FIND MAD
Answer:
[tex]1.6[/tex] - written in [tex]2/12/2021[/tex]
Step-by-step explanation:
The answer is [tex]1.6[/tex] because, [tex]\frac{5+8+11+7+9}{5} = 8[/tex] and [tex]8-5=3[/tex], [tex]8-8=0[/tex], [tex]11-8=3[/tex], [tex]8-7=1[/tex], and [tex]9-8=1[/tex].
So use all the sums and you'll get this: [tex]\frac{3+0+3+1+1}{5} =1.6[/tex]
This is exactly how I got the answer, I also did it on khan because I didn't trust the other person above me, and I got the same answer as him. So I did this to prove he's correct.
Answer:
7.4
Step-by-step explanation:
The area of a rectangle is 256.5 square meters. If the length is 18 m, what is the perimeter of the rectangle?
Answer:
64.5 m
Step-by-step explanation:
1) Find the width: A = L*W, and so W = A / L = (256.5 m²) / (18 m) = 14.25 m.
2) Find the perimeter, using the formula P = 2L + 2W:
Here P = 2(14.25 m) + 2( 18 m) = 64.5 m
This net will be folded to form a prism. A net of a rectangular prism. From top to bottom, the rectangles are labeled B, D, E, F. The left side is labeled A and the right side is labeled C. Which pairs of faces will be opposite one another when the prism is created? Check all that apply. D and F A and C A and B B and F B and E B and C E and F A and F
Answer:
D and F
A and C
B and E
Step-by-step explanation:
due to the fact that it is a rectangle prism, and the A is on the left and C is on the right, the other alphabet B,D,E F is straight down, you have to fold the d and f first, then A and C and lastly B and E to form the prism
Answer:
a,b,e
Step-by-step explanation:
Allie. Bentie and Charlie share £46.
The amount Alfie and Bertie get is in the ratio 9:5
The amount Bertie and Charlie get is in the ratio 2:1
How much does Alfie get?
Someone please help me
Answer:
-240
Step-by-step explanation:
2/6k +80 = 3/6k +120
80=1/6k+120
-40=1/6k
- 240= k
Describe how multiplying all the linear dimensions of a cone by one
fourth affects the volume of the solid. *
Answer:[tex]\frac{1}{64}^{th}[/tex]
Step-by-step explanation:
Given
Suppose V is the original volume of cone having r as radius and h as height
If we multiply all the linear dimensions of ac one by [tex]\frac{1}{4}^{th}[/tex]
the [tex]r'=\frac{r}{4}[/tex]
[tex]h'=\frac{h}{4}[/tex]
Therefore new volume is
[tex]V'=\frac{1}{3}\pi r'^2h'[/tex]
[tex]V'=\frac{1}{3}\pi (\frac{r}{4})^2(\frac{h}{4})[/tex]
[tex]V'=\frac{1}{64}\times \frac{1}{3}\pi r^2h[/tex]
[tex]V'=\frac{V}{64}[/tex]
So new volume becomes [tex]\frac{1}{64}^{th}[/tex] of the original one
Determine the slope and y-intercept. 4x + y = -10
Answer:
slope = -4
y-intercept = -10
Step-by-step explanation:
First, isolate the y. Note the equal sign, what you do to one side, you do to the other. Subtract 4x from both sides:
4x + y = -10
4x (-4x) + y = -10 (-4x)
y = -4x - 10
Note the slope intercept form: y = mx + b
y = y
m = slope = -4
x = x
b = y-intercept = -10
Answer:
slope m=-4
y intercepts (0,-10)
Step-by-step explanation:
Consider the triangular pyramids shown. Pyramid 1 Pyramid 2 Pyramid 1 has 4 triangular sides with areas 44 meters squared, 62 meters squared, 24 meters squared, and 55 meters squared. [Not drawn to scale] Pyramid 2 has 4 triangular sides with areas 24 meters squared, 56 meters squared, 33 meters squared, and 14 meters squared. [Not drawn to scale] Pyramid 3 Pyramid 4 Pyramid 3 has 4 triangular sides with areas 26 meters squared, 60 meters squared, 31 meters squared, and 10 meters squared. [Not drawn to scale] Pyramid 4 has 4 triangular sides with areas 30 meters squared, 44 meters squared, 32 meters squared, and 15 meters squared. [Not drawn to scale] Which has the least lateral area? (Recall the formula for the area of a triangle, A = one-half b h) Pyramid 1 Pyramid 2 Pyramid 3 Pyramid 4
Answer:
c
Step-by-step explanation:
Answer:
Cc
Step-by-step explanation:
There are 200 Counters in a bag. 50 of them are taken out. And have a dab of white paint placed on them. these 50 marked counters are now put it back in the bag which is given a good shake. 80 counters are now taken out. About how many of them would you expect to be marked with a dab of white paint?
Answer:
20 Counters
Step-by-step explanation:
Total number of counter in a bag= 200 Counters
If 50 Counters out of the total have white paint, the value is then represented as
= 50/200
=1/4
The initial 50 Counters taken out is then put in the bag again and mixed thoroughly to get an even distribution.
If 80 Counters are taken out of the bag, the value is represented as
= 1/4×80
=80/4
=20
Therefore, 20 Counters are expected to be marked with a dab of white paint.
SERIOUS MATH HELP PLEAZE
SHOW WORK OR AN EXPLANATION
HELPPPPPPPPPPPP
Answer:(x+9)(x+3)
(I dont think it matters when it’s switched)
Hope I helped
Step-by-step explanation:
The middle number is 12 and the last number is 27.
Factoring means we want something like
(x+_)(x+_)
We need two numbers that...
Add together to get 12
Multiply together to get 27
Can you think of the two numbers?
Try 3 and 9:
3+9 = 12
3*9 = 27
Fill in the blanks in
(x+_)(x+_)
with 3 and 9 to get...
(X+3)(x+9)
(x+3)(x+9)
How do you tell if two samples have the same mean and MAD as each other WITHOUT CALCULATING. I’m attaching a pic.
Answer:
Look below.
Step-by-step explanation:
I mean I can tell because set B is literally just +20 from Set A
Simplify 4x-3(x-2y)+ .5(6x-8y)
Answer:
4x +2y
Step-by-step explanation:
4x-3(x-2y)+ .5(6x-8y)
Distribute
4x -3x+6y +3x -4y
Combine like terms
4x-3x+3x +6y-4y
4x +2y
Line f has a slope of –3 8 . Line g is parallel to line f . What is the slope of line g ?
Answer:
line g would have the same slope as line f
Step-by-step explanation:
parallel lines always have the same slope.
Hope this helps!!! :)
Out of 5 brands of chocolates in a shop, a boy has to purchase the brand which is most liked by children. What measure of central tendency would be most appropriate if the data is provided to him?
Answer: Mode
Step-by-step explanation:
There are three main measures of central tendency: the mode, the median and the mean.
Since the boy has to purchase the brand which is most liked by children, he is using mode.
The mode is the most commonly occurring value in a distribution. That is, the value that occurs most frequently in a set of observations
What is the estimate of 3 1/5 - 2 1/2 + 2 3/5? Show your work
Answer:
3
Step-by-step explanation:
3 1/5 - 2 1/2 +2 3/5
3 1/5 ➡is about 3
-2 1/2 ➡is about 3
2 3/5➡is about 3
3-3+3=3
VX
Does choosing a blue marble represent the complement
event of choosing a red marble? Explain.
B
Р
В
Answer:
red marble
Step-by-step explanation:
i did this yw
PLEASE HELP WILL GIVE BRAINLIESTT
Answer:
8
Step-by-step explanation:
I -5 I = 5
I -3 I = 3
5+3=8
really need brainliest!!
Answer:
8 and pls give brainliest to the other person
Find the volume of a right circular cone that has a height of 9.6m and a base with a diameter of 2.9m. Round your answer to the nearest tenth of a cubic meter.
Answer:
[tex] r = \frac{D}{2}= \frac{2.9m}{2}= 1.45 m[/tex]
If we convert the height to meters like this:
[tex] h = 9.6 cm *\frac{1m}{100 cm}= 0.096m[/tex]
And we want to find the volume of the cone and is given by:
[tex] V = \pi r^2 h[/tex]
And replacing we got:
[tex] V = \pi (1.45m)^2 (0.096m) =0.634 m^3 \approx 0.6 m^3[/tex]
Step-by-step explanation:
For this case we have a right circular cone with a height of 9.6cm and a base with a diameter of 2.9m. We can find the radius like this:
[tex] r = \frac{D}{2}= \frac{2.9m}{2}= 1.45 m[/tex]
If we convert the height to meters like this:
[tex] h = 9.6 cm *\frac{1m}{100 cm}= 0.096m[/tex]
And we want to find the volume of the cone and is given by:
[tex] V = \pi r^2 h[/tex]
And replacing we got:
[tex] V = \pi (1.45m)^2 (0.096m) =0.634 m^3 \approx 0.6 m^3[/tex]
What’s is 2/7 as a decimal to the nearest hundredth
Answer: 0.29
Step-by-step explanation: To get the answer, all we have to do is divide.
2 ÷ 7 = 0.285
Rounding to the nearest hundredth and you'll get 0.29
I hope this helps!
Which of the following is an example of exponential growth or decay?
A.population of a city decreasing by a factor of .1 each year
B.population of a city increasing by a 100 people each year
C.population of a city decreasing by 100 people each year
D.population of a city increasing by 100 people then decreasing by 50 each year
Which expression can be used for the missing side length of the rectangle?
A rectangle with a width of 2x inches and a diagonal length of 8x inches is given. The length of the rectangle is marked as ? inches.
A. x√6
B. 2x
C. x√30
D. 2x√15
Answer: Length = 2x✓15
Step-by-step explanation:
A rectangle has a width of 2x inches and a diagonal length of 8x inches. We are told to find the length of the rectangle. The square of the diagonal is the addition of the square of the length and square of the width.
Adjacent² = length² + width²
(8x)² = length² + (2x²)
Length² = 64x² - 4x²
Length² = 60x²
Length = ✓60x²
Length = ✓4 × ✓15 × ✓x²
Length = 2 × ✓15 × x
Length = 2x✓15
In which tables does y vary directly with x? Check all that apply
Answer:
first three
Step-by-step explanation:
go directly to the x- value ed2020
first second and third
!:)
please help :( -8x with an exponent of 2 + 24x
Steps to solve:
-8x² + 24x
~Apply exponent rule [ [tex]a^b^+^c=a^ba^c[/tex] ]
-8xx + 24x
~Rewrite 24x as 8 * 3x
-8xx + 8 * 3x
~Factor out common term
-8x(x - 3)
Best of Luck!
Answer: -8x(x-3)
Step-by-step explanation:
Your just factoring the gcf (greatest common factor)\
=-8xx+24x
Rewrite 24 as 8*3
=-8xx+8 *3x
Factor out common term: -8x
=-8x (x-3)
How does the graph change between point A and point C?
D
The graph increases, then decreases.
The graph decreases, then remains constant
The graph decreases, then increases.
The graph increases, then remains constant
Answer:
d
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Got 100% on a quiz
What is a straight line from the center to the circumference of a circle
Answer:
From the CENTER, it would be radius of the circle
Step-by-step explanation:
Stretching across the entire circle is diameter, while from the center is radius.
A store buys shirts from a distributor for $10 each and marks them up 50%. After selling them for 3 weeks, they put them on sale for 50% off. Is the discounted price $10?
Answer:
No, it’s 7.50
Step-by-step explanation:
The discounted price is 7.5, but according to question the discounted price is $10. Therefore given statement is wrong.
What is percentage?Percentage is a measurement to find value of given number out of hundred.
Given that,
Cost price of one shirt = $10.
Also, Shopkeeper marks up 50 % on shirts.
Marked up price = 10 x 50% = 10 x 50 / 100 = $15
Since, shopkeeper gives discount as put the shirts on sale for 50% off.
So the price after giving discount = 15 x 50 / 100 = 7.5
The discounted price of shirt is 7.5.
Hence, the given statement that is discount price is $10 is incorrect.
To learn more on Percentage:
https://brainly.com/question/24120406
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