Answer:
1.
(x+1)(x+2)>x(x+3)
x^2+2x+x+2>x^2+3x
x^2+3x+2>x+3x
2>0
2.
(x+2)^2>x(x+4)
x^2+4x+4>x^2+4x
4>0
Step-by-step explanation:
1.
Suppose x is the lowest number in the set of 4 consecutive numbers, then x+1, x+2, and x+3 are then the next numbers in the sequence since they are the next whole numbers.
Then, to follow the conditions of the problem, we make the equation:
(x+1)(x+2)>x(x+3)
Using the formula of (a+b)(c+d)=ac+ad+bc+bd, we can expand both sides of the equation into this:
x^2+2x+x+2>x^2+3x
=x^2+3x+2>x^2+3x
We can then cancel x^2+2x from both sides and we are left with 2>0.
2.
Again, suppose x is the lowest value in the set of consecutive numbers. In this case, odd numbers increase by 2 each time so the series of numbers are:
x, x+2, x+4
Therefore, to follow the conditions of the problem, we make the equation:
(x+2)^2>x(x+4)=
(x+2)(x+2)>x(x+4)
Using the same formula of (a+b)(c+d)=ac+ad+bc+bd, we get:
x^2+4x+4>x^2+4x
Cancel x^2+4x from both sides and we are left with 4>0
Hope this helps!
If you take of a number and add 4, you get 16. The equation represents this situation. If x represents the original number, what does x equal?
Answer:
x = 12
Step-by-step explanation:
equation:
x + 4 = 16
to solve for x, subttract 4 on each side:
x + 4 - 4 = 16 - 4
x = 12
solve this equation graphically using table 5m-2n=4,m-4n=-1
Answer:
m = 1; n = 0.5
Step-by-step explanation:
5m - 2n = 4; m - 4n = - 1
Which point is on the graph of a direct variation equation in which k = 0.4?
A) (10, 0.04)
B) (4, 10)
C) (10, 4)
D) (0.04, 10)
Question 10. The length of a rectangular field is 65 meters. its width is 35
meters. Johnny ran around the field 4 times. How far did she run? *
O A 400 meters
B 760 meters
C 600 meters
D 800 meters
It's might be answer C but im not sure :\
Please help me with this I will make you brainlist if you respond with no links and fully! Do NOT steal points.
Answer: 6782.4 ft is your answer
Step-by-step explanation:
Answer: 6785.84
Step-by-step explanation:
Volume of a cylinder is [tex]\pi r^{2}h[/tex]
So solve both cylinders to get
20357.52
13571.68
Subtract to get the difference
6785.84
Anita collects shells and stones in a ratio of 1:2.
If she has a total of 8 shells how many stones does she have
Answer:
The answer is 16 stones
Step-by-step explanation:
It's 8:16 because
8/1 = 8
and
2 x 8 = 16
To check your answer to see if its correct :
1/2 = 2
16/2=8
Hope this helps!! ;)
help me pls!!!!!!!!!!!
Answer:
Step-by-step explanation:
Rate of decrease = 3% = 0.03
Number of decreased employees = Current number of employees * rate of decrease * number of years
= 810 * 0.03 * 16
= 388.8
= 389
Number of employees = 810 - 389 = 421
Jake's parents want $100,000 at the end of 40 years. They put their money in an account that yields 4% per year compounded continuously. How much money should jakes parents deposit?
Answer:
$ 20,189.65
Step-by-step explanation:
Jake's parents want $100,000 at the end of 40 years. They put their money in an account that yields 4% per year compounded continuously. How much money should jakes parents deposit?
From the above question, we are to find the Principal. The formula for Principal compounded continuously =
P = A / e^rt
Where:
A = Amount after time t = $100,000
r = Interest rate = 4%
t = Time in years = 40 years
First, convert R percent to r a decimal
r = R/100
r = 4%/100
r = 0.04 per year,
Then, solve our equation for P
P = A / e^rt
P = 100,000.00 / e ^(0.04×40)
P = $ 20,189.65
Therefore, the amount Jake's parents should invest = $ 20,189.65
AB is a diameter of the
circle. Find the angle
BCO.
A 70°
B 20°
C 60°
D50°
Answer:
70°, ,have a nice day
Answer:
∠BCO = 70°
Step-by-step explanation:
AO = CO = BO because all radii of the same circle are equal.
∠ACO = 20° because it is an isosceles triangle.
∠BCA = 90° because a triangle with it's hypotenuse being the diameter of a circle is a right triangle.
∠BCA - ∠ACO = ∠BCO
90° - 20° = 70°
∠BCO = 70°
How many feet are in 2,241 inches? (Note: 1 foot = 12 inches)
Group of answer choices
Answer:
186.75 feet in 2,241 inches
Step-by-step explanation:
Answer:
186.75 Feet.
Step-by-step explanation:
solve for h in the literal equation g(h+3/2)=5
Answer: h= 5/g−3/2
Step-by-step explanation:
h= 5 over g minus 3 over 2
Answer:
[tex]h\neq -3/2[/tex]
Step-by-step explanation:
Divide both sides by h+3/2;
g(h+3/2)/h+3/2=5/h+3/2
simplify
g=10/2h+3; h[tex]\neq[/tex]-3/2
A person purchased a used Chevrolet
Cavalier for $4500. The car is expected to
decrease in value by 22% each year over
the next several years.
What would be the decay factor of a model
that would represent the value of the car?
1.22
0.78
-1.22
0.22
Answer:
B. 0.78Step-by-step explanation:
With 22% decrease the value after the year is:
100% - 22% = 78% of the current valueTo find 78% we need to multiply the current value by 0.78.
The same number is multiplied each year to find the decreased value.
The formula for the car would be:
P = 4500*0.78ˣThe decay factor is 0.78
Correct choice is B
Answer:
m. m, .;.
Step-by-step explanation:
I need this ASAP:
Find the volume
asap please help i really need it
Answer:
x ≈ 261 ft
Step-by-step explanation:
Using the sine ratio in the right triangle
sin50° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{200}{x}[/tex] ( multiply both sides by x )
x × sin50° = 200 ( divide both sides by sin50° )
x = [tex]\frac{200}{sin50}[/tex] ≈ 261 ft ( to the nearest foot )
x ≈ 261 ft
that is the answer
A penguin walks 10 feet in 6 seconds. At this speed how far does the penguin walk in 45 seconds?
Answer:
The penguin will walk 75.15 feet in 45 seconds. It will take the penguin 26.95 seconds to walk 45 feet
Step-by-step explanation:
hope it helps !
Answer: 75 feet
Step-by-step explanation:
what is 9-3 divied by 1/3 + 1 =
Answer:
1
Step-by-step explanation:
3 divided by 1/3 is 9, and 9-9=0
0+1=1
1
Step-by-step explanation:
A square pyramid was sliced perpendicular to its base but not through its vertex. What is the shape of the cross section shown in the figure?
A rectangular pyramid. The cross section is a trapezoid.
a parallelogram that is not a rectangle or square
a rectangle that is not a square
a square
a trapezoid
Answer:
a trapezoid
Step-by-step explanation:
Answer:
D: Trapezoid.
Step-by-step explanation:
Because you can see that the shape has only one set of parralel sides it is a trepezoid.
Solve for x:
5x - 3y = 22
10x - 4y = 46
Answer:
x=5, y=1
Step-by-step explanation:
Isolate x for 5x-3y=22
5x-3y=22
Add 3y to both sides
5x-3y+3y=22+3y
Simplify
5x=22+3y
Divide both sides by 5
5x/5=22/5+3y/5
Simplify
x=22+3y/5
Substitute x=22+3y/5
10*22+3y/5-4y=46
Simplify 10*22+3y/5-4y
10*22+3y/5=2(3y+22)
=2(3y+22)-4y
Expand 2(3y+22)
=6y+44-4y
Simplify 6y+44-4y
=2y+44
Isolate y for 2y+44=46
2y+44=46
Subtract 44 from both sides:
2y+44-44=46-44
Simplify
2y=2
Divide both sides by 2;
2y/2=2/2
Simplify;
y=1
For x=22+3*1/5 substitute y=1
y=22+3*1/5
22+3*1=25
=25/5
Divide the numbers;25/5=5
=5
x=5
The solutions to the system of equations are;
x=5, y=1
It costs $32 per day to rent a medium-sized car, plus $0.25 for each mile driven over 150 miles. The equation that represents this situation is y = 0.25x + 32, where y represents the total cost of renting a car, and x represents the number of miles driven over 150 miles.
a.) What is the slope and what does it represent in the context of this problem?
b.) What is the y- intercept and what does it represent in the context of this problem?
Answer:
Read explanation
Step-by-step explanation:
A)The slope is the number before the X so 0.25, this represents the amount of money people have to pay for each mile driven over 150 miles.
B) The y-intercept is the number after the X so 32, this number represents the amount people have to pay rent the car before actually using it.
inverse function. sketch the graph of each function.
Answer:
I cant see picture
Step-by-step explanation:
PLEASEEEE SOMEONE HELP ME WITH THIS ITS DUE IN A COUPLE HOURS!!!!!
Answer:
27°
Step-by-step explanation:
I'm assuming you have learned basic trigonometry: SOH CAH TOA. In this diagram to find the angle x we are given the opposite side and the hypotenuse, therefore we will use SOH. sinθ = opp/hyp. Plugging in those values we get sinθ = 5/11 -> θ = sin⁻¹ (5/11) = 27.03569179° = 27°
1 Katie is raising money to buy
a dog. She starts a
neighborhood babysitting service.
She paid $40 for a CPR class and
charges $5 per kid. Write an
equation she could use to calculate
her profit, p, if she has k kids.
O p = 5k - 40
P = 5k + 40
O p = 40k + 5
k = 40p - 5
Answer:
p = 5k - 40
Step-by-step explanation:
Since we're finding the profit (p), it's not the last answer choice because it's finding kids (k).
Because we have to take out from her profit whatever Katie spent, we would have -40.
Because she'd charging $5 per kid, or $5 per k, we would have 5k.
So now we know the profit is whatever she makes, then minus whatever she spent. So:
p = 5k (what she makes) - 40 (what she spent)
p = 5k - 40
Answer:
O p = 40k + 5
Step-by-step explanation:
Katie is raising money to buy a dog. She starts a neighborhood babysitting service.
Help pls!!! question in the picture!!!
Answer:
The Y intercept is two
Step-by-step explanation:
The y intercept is the point on a graph where the graph crosses the y axis.
Basically, it is the value of y when x is 0 is (x,y)
Looking at the attached graph, our y intercept is (0,2), meaning that the y-intercept is 2.
The answer is: the Y-INTERCEPT is 2
In a class, there are twice more boys than girls. Six boys leave the class and six girls arrive ;
therefore, there are twice more girls than boys .
How many boys and girls were there at first ?
please show calculations steps plus this should be solved as a system
Answer:
Boys= 12
Girls= 6
Step-by-step explanation:
Let no: of girls be 'x'
No: of boys= 2x
boys after= 2x-6
girls after = x+6
according to the question,
2(2x-6)=x+6
4x-12=x+6
3x=18
x=6
No: of girls at first= 6
No: of boys at first=2*6=12
The table shows the results of a survey of seventh-grade students in the lunch-line
CHART:
Drink / Students
Chocolate Milk / 15
Soda / 12
Milk / 6
Water / 2
If there are 245 seventh-graders in the school, how many can be expected to prefer chocolate milk?
A: 45
B: 84
C: 90
D: 105
Answer:
D
Look at the picture. :)
105 can be expected to prefer chocolate milk
How to Solve the Problem?The problem can be solved in following steps.Survey of seventh-grade students in the lunch-line is given in chart.We need to calculate the expected students to prefer chocolate milk
Let the expected students be x
Calculate the total students = 15+12+6+2 = 35
The expected students prefer milk is
15/35 = x/245
245*15=35x
3675 = 35x
x = 3675 / 35
x = 105
Hence 105 students are expected to prefer chocolate milk .
Learn more about Surveys
https://brainly.com/question/2141789
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Plz check theses aswell
Answer:dont worry :) its right! hit enter!
Step-by-step explanation:
Answer:
Step-by-step explanation:
w' = (1, - 1 ) check
C' = ( 4, 2 ) check
(D)
28
3.
The Hill family rented a car for the weekend. The rental agency charged a weekend fee of $35.00 and
$0.12 per mile. Their final bill was $44.36. Which equation could be used to discover how many miles the
family drove?
012
Answer:
d I think please be right
Solve 8 = 2^x + 4
x=-4
x=-1
x=0
x=7
Answer:
x=-1
Step-by-step explanation:
because 2^3 is 8
and when you do -1+4 you get left with 3
so x=-1
Answer:
x = -1
Step-by-step explanation:
how to calculate the Triangle Proportionality Theorem
Step-by-step explanation:
If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.
How many different committees can be formed from 12 teachers Abs 43 students of the committee consists of 4 teachers and 3 students ? In how many ways can the committee of 7 members be selected ?
Answer:
6108795
Step-by-step explanation:
To obtain the number of ways the committee can be selected :
4 teachers from the 12 teachers available and 3 students from the 43 students available
Using combinatorics :
12C4 * 43C3
recall :
nCr = n! ÷ (n - r)!r!
Using calculator :
12C4 = 495
43C3 = 12341
12C4 * 43C3
495 * 12341
= 6108795