Answer:
x >46/3
Step-by-step explanation:
Do the product first because of the more than
-3x + 17 < -29
Subtract 17 from each side
-3x + 17 -17< -29-17
-3x < -46
Divide each side by -3, remembering to flip the inequality
-3x/-3 > -46/-3
x >46/3
You have $1000 to invest in two different accounts. In order to save the money you need for college, you need to average 6.6 percent interest. If the two accounts pay 5 percent and 7 percent interest, how much should you invest in each account?
a) $500 in 5%, $500 in 7%
b) $400 in 5%, $600 in 7%
c) $200 in 5%, $800 in 7%
d) $800 in 5%, $200 in 7%
Answer:
a) $500 + $525 = $ 1,025
b) $420 + $642 = $ 1,062
c) $210 + $856 = $ 1,066
d) $840 + $214 = $ 1,056
Step-by-step explanation:
Compound Interest Equation
A = P(1 + r/n)^nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
Compound Interest Formulas and Calculations:
Calculate Accrued Amount (Principal + Interest)
A = P(1 + r/n)^nt
Calculate Principal Amount, solve for P
P = A / (1 + r/n)^nt
Calculate rate of interest in decimal, solve for r
r = n[(A/P)^1/nt - 1]
Calculate rate of interest in percent
R = r * 100
Calculate time, solve for t
t = ln(A/P) / n[ln(1 + r/n)] = [ ln(A) - ln(P) ] / n[ln(1 + r/n)]
Answer:
It's C
Step-by-step explanation:
HELP ASAP PLEASE!!!
There are ten blue marbles, nine orange marbles, and six yellow marbles in a bag. You draw one marble at random. Find P(orange marble) as a fraction, decimal, and percent.
Answer:
9/25 .36 and 36 percent
Step-by-step explanation:
Answer:
9/25 .36 and 36 percent
Step-by-step explanation:
The driveway in front of the brown house is 35 feet long and the driveway in front of the red house is 7 yards and 9 feet long.Which house has a longer drivewa?.By how much?
Answer:
The driveway of the brown house is longer by 5 feet.
Step-by-step explanation:
Given two houses (red and brown) such that:
The driveway in front of the brown house is 35 feet long.The driveway in front of the red house is 7 yards and 9 feet long.We want to determine which of the houses has a longer driver.
To compare, we must ensure that all units are the same.
1 Yard =3 FeetTherefore: 7 Yards =3 X 7 feet =21 feet
Driveway of the red house =7 yards and 9 feet long=21+9=30 feet
Therefore:
The driveway in front of the brown house is 35 feet long.The driveway in front of the red house is 30 feet long.The driveway of the brown house is longer by 5 feet.
Please help it’s urgent
Answer:
Angle CED
Step-by-step explanation:
They are opposite to each other in the X they make.
An airline estimates that 90% of its eastbound flights arrive on time and 72% of its westbound flights arrive on time. This morning, 42% of the airline’s schedule is westbound flights. If a flight is chosen at random, what is the probability that the flight does not arrive on time? Write your answer as a percent rounded to the nearest tenth.
Answer:
Probability that the flight doesn't arrive on time = 0.2 (to the nearest tenth)
Step-by-step explanation:
90% of the eastbound flights arrive on time, i.e. Pe = 0.9
10% of the eastbound flights do not arrive on time, Qe =1 - 0.9 = 0.1
72% of the westbound flights arrive on time, i.e. Pw = 0.72
28% of the westbound flights do not arrive on time, Qw =1 - 0.72 = 0.28
42% of the airline schedule this morning is westbound (i.e 58% is eastbound)
If a flight is chosen at random:
Probability that it is a westbound flight and it does not arrive on time = 0.28 * 0.42 = 0.1176
Probability that it is an eastbound flight and it does not arrive on time = 0.1 * 0.58 = 0.058
Probability that the flight doesn't arrive on time = 0.1176 + 0.058
Probability that the flight doesn't arrive on time = 0.1756
Probability that the flight doesn't arrive on time = 0.2 (to the nearest tenth)
Answer:
The probability, that a flight does not arrive on time is 18.4%
Step-by-step explanation:
Here we have that;
The percentage of the Eastbound flight that arrive on time = 90%
The percentage of the Westbound flight that arrive on time = 72%
The percentage of Westbound flights the present morning = 42%
Therefore, the percentage of Eastbound flights the present morning = 100% - 42% = 58%
Hence the probability, p, that a flight will arrive on time this morning is given as follows
0.9 × 0.58 + 0.72 × ×0.42 = 0.816
Hence the probability, q, that a flight does not arrive on time = 1 - p
Which gives, q = 1 - 0.816 = 0.184
To convert back to percentage, we multiply by 100 hence;
0.184 × 100 = 18.4%
The probability, that a flight does not arrive on time = 18.4%.
Benny scored 19 points in Mondays basketball game and 46 points in Fridays game.How many points did he score in the last two games?
Answer:
He scored 65 points in his last two games
Step-by-step explanation:
Here, we want to calculate the number of points Benny scored in his last two games.
We must understand that his last two games correspond to the games he played on Monday and on Friday
So to get his total points in the last two games, what we do is that we add both points together
Mathematically, that would be 19 + 46 = 65 points
I need help with this
Answer:
40 feet by 30 feet
Step-by-step explanation:
40 x 30 = 1200
40 is the length of the wall
30 is the height of the wall and is 3/4 of 40
Plz Help my brother with this equation!
Answer:
I think the answer is 2 bc 5 times 4 is 20 and 10 can go into 20 2 times.
Step-by-step explanation:
what is the mean of 72, 65, 76, 34, 98, 76, 64, 54, and 64.
Answer:
67
Step-by-step explanation:
Mean is the average
Add up all the values and divide by the numbers there are.
In this case, divide by 9.
whats the answer for w^5+4w^4+10w^3+40w^2
Answer:
w^2*(w+4)*(w^2+10)
Step-by-step explanation:
w^5+4w^4+10w^3+40w^2
w^2*(w^3+4w^2+10w+40)\w^2*(w^2*(w+4)+10(w+4))
w^2*(w+4)*(w^2+10)
I'm assuming there's an =0 at the end of this?
You need to factor to get an answer, so:
[tex]w^5+4w^4+10w^3+40w^2=0\\w^4(w+4)+10w^2(w+4)=0\\(w^4+10w^2)(w+4)=0\\w^2(w^2+10)(w+4)=0\\w=0\\w^2+10=0\\w^2=-10\\w=\sqrt{-10}=10i\\ w+4=0\\w=-4\\w=0,10i,-4[/tex]
If your teacher doesn't want any imaginary numbers, then your answer would be limited to w=0 and 4. (exclude the 10i if you don't want imaginary numbers)
In a survey of students, 1162 stated they cheated and 2468 stated they did not. If one student is randomly selected what is the probability that they cheated
Answer:
[tex] n = 1162 +2468 =3630[/tex]
And the probability that they cheated and we can use the classical definition of probability given by:
[tex] p =\frac{successes}{Total}[/tex]
And replacing we got:
[tex] p=\frac{1162}{3630}= 0.320[/tex]
So then the probability of people cheated is 0.320 or 32% approximately
Step-by-step explanation:
For this problem we know that in a survey of students, 1162 stated they cheated and 2468 stated they did not.
The total of people is given by:
[tex] n = 1162 +2468 =3630[/tex]
And the probability that they cheated and we can use the classical definition of probability given by:
[tex] p =\frac{successes}{Total}[/tex]
And replacing we got:
[tex] p=\frac{1162}{3630}= 0.320[/tex]
So then the probability of people cheated is 0.320 or 32% approximately
Which measurement is equal to 6 kilograms
Answer:
6.000 grams
Step-by-step explanation:
1 kg = 1000g
=> 6 kg = 6000g
Answer:
The answer is 6,000 grams
Step-by-step explanation:
is -3 an expression
Answer:
yeah it is an expression
Explanation:
An expression may refer to any of the following:
A combination of letters, numbers, or symbols used to represent a value of a variable. ..
Find the surface area of the figure below
Answer:
696.8 mm^2
Step-by-step explanation:
Does this make sense?
The surface area of figure is 696.8[tex]mm^{2}[/tex].
To understand more, check below explanation.
Surface area of figure:The given figure is combination of a triangular shape and cuboid.
We have to find surface area of given figure.
The surface area of combined figure is summation of area of four triangle and area of cuboid excluding top of cuboid.
The base of triangle = 13mm
Height of triangle = 10.3 mm
Area of 4 triangle [tex]=4*\frac{1}{2}*13*10.3=267.8mm^{2}[/tex]
Surface area of cuboid excluding top is computed as,
Area = (2*13*5) + (2*13*5) + (13 * 13)
Area = 130 + 130 + 169 = 429 square millimeters.
Hence, surface area of figure = 267.8 + 429 = 696.8[tex]mm^{2}[/tex]
Learn more about the surface area here:
https://brainly.com/question/76387
volume of cone with radius of 6 and heights of 8
Hey there! I'm happy to help!
To find the volume of a cone, you multiply the base by the height and then divide by three.
The base of a cone is a circle. To find the area of a circle, we square the radius and then multiply it by pi (we will use 3.14). Let's find the base below.
6²=36
36×3.14=113.04
Now, we multiply by the height.
113.04×8=904.32
Finally, we divide by three.
904.32÷3=301.44
Therefore, the volume of this cone is about 301.44 units cubed.
Now you can find the area of cones! I hope that this helps! Have a wonderful day!
Answer:
301.44
Step-by-step explanation:
Divide using long division.
(9p2 + 8p3 + 12) ÷ (p + 1)
Answer:
8p∧2 ± p - 1 ± 13/p ± 1
Step-by-step explanation:
Divide (9p2 + 8p3 + 12) ÷ (p + 1) and it equals 8p∧2 ± p - 1 ± 13/p ± 1
Answer:
8p^2+p-1 with a remainder of 13
Step-by-step explanation:
p+1 divided by 8p^3+9p^2+0p+12
Identify the values of a, b, and c in the following quadratic equation. 4x 2 + x + 9 = 0
Answer:
a = 4 b = 1 c = 9
Step-by-step explanation:
PLEASE HELP AS SOON AS POSSIBLE!!!!!
Answer:
AT THE POINT NUMBER 2 IS INCORRECT !
Step-by-step explanation:
Which of these ordered pairs are points on the graph of y= -5x+2?
a) (4, -22)
b) (-2,-8)
c) (-1, 7)
d) (1,3)
Answer:
Once again idk
Step-by-step explanation:
honestly it don't matter cuz the test is done :)
Maxis taking a cross-country road trip. Gas prices vary as the friends travel across the US from $4 dollars per gallon on the east coast, to $3 in the mid-US, to $5 on the west coast. B On their way back they had more baggage in the car and spend $601 for 174 gallons of gas. Based on the same ratio as in Part (a), how many gallons of gas did they buy at each price?
Answer:
A) The amount of gas they bought on each coast;
East Coast = 35 gallons
Mid-US = 100 gallons
West Coast = 15 gallons
B) The amount of gas they bought on each coast on the return journey;
East Coast = 37 gallons
Mid-US = 116 gallons
West Coast = 21 gallons
Step-by-step explanation:
Complete Question
Maxis taking a cross-country road trip. Gas prices vary as the friends travel across the US from $4 dollars per gallon on the east coast to $3 in the mid-US, to $5 on the west coast.
(a) If they used twice as much gas in the mid-US than on either coast combined, and they spend $515 on gas to purchased 150 gallons of gas, how many gallons of gas did they buy at each price?
The answer to this question is East Coast - 35 gal, Mid-US - 100 gal, West Coast - 15 gal.
(b) On their way back they had more baggage in the car and spend $601 for 174 gallons of gas. Based on the same ratio as in Part (a), how many gallons of gas did they buy at each price? I don't know the answer to this one
Solution
Let the amount of fuel bought on the east coast = x gallons
Let the amount of fuel bought on the mid-coast = y gallons
Let the amount of fuel bought on the west coast = z gallons
a) - They used twice as much gas in the mid-US than on either coast combined
y = 2(x + z) = 2x + 2z (eqn 1)
- They spend $515 on gas to purchase 150 gallons of gas.
Total gallons purchased = x + y + z = 150
Total amount spent = 4x + 3y + 5z = 515
From eqn 1, y = 2x + 2z, inserting this value for y in the 2 other equations
x + y + z = x + 2x + 2z + z = 150
3x + 3z = 150
Divide through by 3
x + z = 50 (eqn *)
4x + 3y + 5z = 4x + 3(2x + 2z) + 5z = 515
4x + 6x + 6z + 5z = 515
10x + 11z = 515 (eqn **)
x + z = 50
10x + 11z = 515
Solving the simultaneous equation,
x = 35 gallons
z = 15 gallons
y = 2x + 2z = 2(35 + 15) = 100 gallons
B) On the return journey, the ratio between x, y and z is still the same, but the total gallons and total amount spent is now different.
They used twice as much gas in the mid-US than on either coast combined
y = 2(x + z) = 2x + 2z (eqn 1)
- They spend $601 on gas to purchase 174 gallons of gas.
Total gallons purchased = x + y + z = 174
Total amount spent = 4x + 3y + 5z = 601
From eqn 1, y = 2x + 2z, inserting this value for y in the 2 other equations
x + y + z = x + 2x + 2z + z = 174
3x + 3z = 174
Divide through by 3
x + z = 58 (eqn *)
4x + 3y + 5z = 4x + 3(2x + 2z) + 5z = 601
4x + 6x + 6z + 5z = 601
10x + 11z = 601 (eqn **)
x + z = 58
10x + 11z = 601
Solving the simultaneous equation,
x = 37 gallons
z = 21 gallons
y = 2x + 2z = 2(37 + 21) = 116 gallons
Hope this Helps!!!
Find the mean of 9.63, 9.75, 9.79, 9.80, 9.88, 9.94, 9.98, 11.99
Answer:
10.10
Step-by-step explanation:
can someone help me with this question
Answer:
A 50
B 10
C 12/5
D 5
E 21
F 100
Imagine math please help
Answer:
The one in the upper left corner
Step-by-step explanation:
it is a good equation and the wording matches the problem
Courtney recorded her friends' shoe sizes. 4, 8, 7, 10, 12, 9, 8, 5 What was the interquartile range of the shoe sizes? A. 3.5 B. 6.0 C. 8.0 D. 9.5
Answer:
Step-by-step explanation:
Hello!
The Interquartile range (IQR) is a measurement of dispersion, it is the "distance" between the third quartile and the first quartile.
IQR = Q₃ - Q₁
Data 4, 5, 7, 8, 8, 9, 10, 12 (ordered from least to greatest)
n= 8
The first quantile separates the bottom 25% from the top 75%
First, you calculate the position of the quartile:
Position Q₁= (n+1)/4= (8+1)/4= 2.25
4, 5, 7, 8, 8, 9, 10, 12
The 1st quartile is between the 2nd and 3rd observation, so the next step is to calculate the average between the two observations to get the value of the quartile:
Q₁= (5+7)/2= 6
The third quantile separates the bottom 75% from the top 25%
First, you calculate the position of the quartile:
Position Q₃= (n+1)*(3/4)= (8+1)*(3/4)= 6.75
4, 5, 7, 8, 8, 9, 10, 12
The 3rd quartile is between the 6th and 7th observation, so the next step is to calculate the average between the two observations to get the value of the quartile:
Q₃= (9+10)/2= 9.5
IQR = Q₃ - Q₁= 9.5-6= 3.5
The correct answer is A.
I hope this helps!
Arthur is cutting construction paper into rectangles for a project. He needs to cut one rectangle that is 16 inches × 12 1 4 inches. He needs to cut another rectangle that is 10 1 2 inches by 10 1 4 inches. How many total square inches of construction paper does Arthur need for his project?
Answer:
303.63 sq inches
Step-by-step explanation:
We need to find the area of the two rectangles he cuts and add them together.
The area of a rectangle is given as:
A = L * B
The first rectangle is 16 inches × 12 1/4 inches. Its area is:
A = 16 * 12 1/4 = 16 * 49/4 = 196 sq inches
The second rectangle is 10 1/2 inches by 10 1/4 inches. Its area is:
A = 10 1/2 * 10 1/4 = 21/2 * 41/4 = 107.63 sq inches
The total square inches of construction paper that he needs is:
196 + 107.63 = 303.63 sq inches
kaya has $25 left over after the football game she spent $17 for her ticket. She then bought a hat for $11 how much money did kaya bring to the football game
There are
18 girls and
22 boys in a class,one
of them has a letter. The probability that
the
owner
of the letter is a boy is
Paula invited some friends to dinner and she plans to make fajitas at the grocery store she spent $2.56 on red bell peppers and $1.92 on green bell pepper if both types of bell peppers cost $1.60 per pound how many total pounds of bell pepper does she buy
Answer: 2.8
Step-by-step explanation:
Given Data:
Money spent by Paula for red bell peppers = $2.56
Money spent by Paula on green bell peppers = $1.92
Both pepper cost = $1.60/ pound
Therefore:
Total pounds of bell peppers bought by Paula
= cost of green bell pepper + red red bell pepper / price/pound
= $2.56 + $1.92 / $1.60
= $4.48 / $1.60
= 2.8 pounds
Paula bought 2.8pounds of pepper
Answer:
2.8
Step-by-step explanation:
how to solve for pi and
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.
body_green_light
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:
pls help me thanks :)
Answer:
2+2 is 4 quick math
Step-by-step explanation:
