Answer:
1 < x < 5
Step-by-step explanation:
Inequalities of the type | x | < a , have solution of the form
- a < x < a
Given
2 | x - 3 | < 4 ( divide both sides by 2 )
| x - 3 | < 2 , then
- 2 < x - 3 < 2 ( add 3 to each interval )
1 < x < 5
In AOPQ, m2O = (2x – 5)º, m P = (3x – 8)°, and mZQ = (10x – 17).
What is the value of x?
9514 1404 393
Answer:
x = 14
Step-by-step explanation:
The sum of angles in a triangle is 180°:
∠O +∠P +∠Q = 180°
(2x -5)° +(3x -8)° +(10x -17)° = 180°
15x -30 = 180 . . . . . divide by °, collect terms
x -2 = 12 . . . . . . . . . divide by 15
x = 14 . . . . . . . . . . . .add 2
How many games did he win? Help
0.000487 an Scientific Notation
Answer:
4.87 to the fourth power
Step-by-step explanation:
0.000487 in Scientific Notation:
4.87 * 10^-4
<
6/11
What is the equation of the line that passes through point (4. 12) and has a y-intercept
of - 2?
Answer:
7x - 2y - 4 = 0
Step-by-step explanation:
from the perpendicular equation formula,
y/a + x/b = 1
x1 = 4
y1 = 12
a = -2
b= ?
Inserting the values into the above formula,
12/-2 + 4/b = 1
-6 + 4/b = 1
4/b = 7
b = 4/7
putting a and b into the original formula,
y/-2 + x/(4/7) = 1
-y/2 + 7x/4 = 1 (×4)
-2y + 7x = 4
7x - 2y - 4 = 0
Therefore, the equation of the line is;
7x - 2y - 4 = 0
What is the equation of the line in slope-intercept form?
Answer:
y=mx+b :)
Step-by-step explanation:
A small pool is being drained. There are 1,320 gallons of water remaining in the pool after 2 minutes and 1,040 gallons after 9 minutes.
Answer:
Answer: 35 minutes
Step-by-step explanation:
Step-by-step explanation:
For us to solve the question, we have to calculate the amount of gallons of water that is drained every minute. This will be:
= (1320 - 1040) / (9 - 2)
= 280/7
= 40 gallons per minute
Since we are told that 1,320 gallons of water remain in the pool after 2 minutes. This means that the total water in the pool at the beginning was:
= 1320 gallons + (40 × 2)
= 1320 gallons + 80 gallons
= 1400 gallons
The time taken for the pool to be completely drained will be:
= Total water in pool / Gallons drained per minute
= 1400 / 40
= 35 minutes
Answer:
35 minutes
Step-by-step explanation:
There are 40 gallons drained per minute.
20 Points
Can anyone help me with these Geometry questions? Will give Brainliest.
Answer:
give brain list first
Step-by-step explanation:
2xy +3y²-6y factor the following expression
Answer:
y(2x+3y-6)
Step-by-step explanation:
2xy+ [tex]3y^{2}[/tex]-6y
Find the H.C.F
2xy= 2×x×y
3y²= 3×y×y
6y= 6×y
H.C.F= y
2xy÷y+ 3y²÷y- 6y÷y
= 2x+ 3y- 6
= y( 2x+ 3y-6)
Which one is correct
Answer:
2ft
Step-by-step explanation:
Answer:
2 ft
Step-by-step explanation:
The triangle has a dilation of 1/3 and we can assume that the triangles are congruent
So we take 6 and divide it by 3 and get 2
The answer is 2 ft
8 students is ?% of 20 students.
Finish the missing percent
Answer:
40%
Step-by-step explanation:
What is an expression for 2 over 3 (4x +9).
Answer:
Step-by-step explanation:
2 / 3 ( 4x + 9 )
Distributive property
2 / 12x + 27
PLEASE HELP:( thank youuuu!!
Answer:
A
Sorry I just have to right more to turn it in but good luck with your math work.
When factored completely, which is a factor of 3x3 − 9x2 − 12x?
A.
(x − 3)
B.
(x − 4)
C.
(3x − 1)
D.
(3x − 4)
Answer: I believe it’s D
Step-by-step explanation:
Solve the inequality.
-1 <-4+ d
A d>3
B d>-3
C d<-3
D d<3
Answer:
A
Step-by-step explanation:
We add 4 on both sides
-1 + 4 < -4 + 4 + d
= 3 < d
Flip it and we get d > 3
The answer is A
Any help would be appreciated(brainly for best answer)
Answer:
a. x=100 b. x=30
Step-by-step explanation:
A: <1 and <2 are supplementary by consecutive interior angles theorem
x + x-20 = 180
2x-20=180
2x=200
x=100
B: <1 and <2 are congrunt by corresponding angles postulate
3x-5=x+55
2x=60
x=30
On a sunny day, a 4-foot red kangaroo casts a shadow that is 5 feet long. The shadow of a nearby
eucalyptus tree is 20 feet long. Find the height of the tree?
Answer:
16 feet
Step-by-step explanation:
Set up a proportion where x is the height of the tree:
[tex]\frac{4}{5}[/tex] = [tex]\frac{x}{20}[/tex]
Cross multiply and solve for x:
5x = 80
x = 16
So, the tree is 16 feet tall
Which of the equations below represents a line perpendicular to the y-axis?
A.
x = 6
B.
y = -6
C.
y = 6x
D.
y = x
Answer:
B. y = -6
Step-by-step explanation:
As you can see the graph I done is perpendicular
Answer:
B
Step-by-step explanation:
A line perpendicular to the y- axis is a horizontal line parallel to the x- axis, with equation
y = c ( where c is the value of the y- coordinates the line passes through )
The only equation in this form is
y = - 6 → B
Frank drove from New York City to Los Angeles. The distance between the two cities is 2,760 miles. After 16 hours, he still had to drive 1,400 miles to reach Los Angeles. How far did he drive per hour?
Answer:
fghjgfvgh
yguhyu
Step-by-step explanation:
Answer:
frank traveled 2760-1400 = 1360 miles
traveled 16 hours
This means he drove: 1360 miles / 16 hours = 85 miles per hour.
An exponential relationship is modeled by y = 31(0.81)x , what is the percent rate of change for this function?
Answer:
19%
Step-by-step explanation:
An exponential relationship is modeled by y = 31(0.81)^x , what is the percent rate of change for this function?
From the above exponential relationship given, we can see that this exponential relationship is an exponential decrease.
Where the formula:
y = a(1 - r)^t
Where a = Initial amount
r = rate of change in percent
t = time in years
y = a(1 - r)^x = y = 31(0.81)^x
1 - r = 0.81
r = 1 - 0.81
r = 0.19
Converting 0.19 × 100
= 19%
Jasmine wants to use her savings of $1,128 to buy video games and movies. The total price of the movies she bought was $72. The video games cost $43 each. Choose the inequality that would be used to solve for the maximum number of video games Jasmine can buy with her savings.
A. 43 + 72x ≤ 1,128
B. 43 + 72x ≥ 1,128
C. 43x + 72 ≥ 1,128
D. 43x + 72 ≤ 1,128
Answer:
D. 43x + 72 ≤ 1,128
Step-by-step explanation:
She has $1,128
Total price $72
43x since its unit rate for each
43x + 72 is less than or equal to $1,128
Answer:
D. 43x + 72 ≤ 1,128
Step-by-step explanation:
Good luck! Hope this helped :)
Please help!!
if you can explain if not that is fine.
Answer:
The graph of y > 3x − 4 has shading above a dashed line. The graphs of the inequalities will intersect.
what's the simplified expression?
Answer:
6x⁴ + 20x³ - 30x² + 4
Step-by-step explanation:
Collect the like terms
6x⁴ + 18x³ + 2x³ - 36x² + 6x² + 12x - 12x + 4
SImplify expression
6x⁴ + 20x³ - 30x² + 4
Answer:
6x⁴- 18x³-4
i think
Step-by-step explanation:
3. You purchase a car using a $20,000 loan with a 5% simple interest rate.
(a) Suppose you pay the loan off after 4 years. How much interest do you pay on your loan? Show your work.
(b) Suppose you pay the loan off after 2 years. How much interest do you save by paying the loan off sooner? Show your work.
Answer:
Answer:
a) $4000
b) $2000
Step-by-step explanation:
a)
interest = Principal x rate as decimal x time
interest = 20,000 x 0.05 x 4
interest = 4000
b)
interest = Principal x rate as decimal x time
interest = 20,000 x 0.05 x 2
interest = 2000
you save $2000 if you pay after 2 years
Answer:2,500
Step-by-step explanation:
Zion walked 1.7 miles in 1 hour. If he walks at the same rate, how far will he walk in 1.5 hours? Use partial products to find the answer.
Answer:
1 hour = 1.7 miles / 1.5 hours = ? Miles
1.7 × 0.5 = 0.85 + 1.7 = 2.55 Miles
Step-by-step explanation:
1.7 × 0.5 = 0.85 + 1.7 = 2.55 Miles
The area of a square is 1,521 cm2. Find the length of a side of the square by
prime factorisation method.
Answer:
Isn't it simpler just to take the square root of 1,521?
It's 39
Step-by-step explanation:
Shiloh and her friends spent the day at an amusement park. In the first hour, they rode two rides. After 2 hours, they had ridden 4 rides. They had ridden 6 rides after 3 hours.
Write a function to represent the arithmetic sequence.
f(n)=
Answer:
The function will be: f(n) = 2n
Step-by-step explanation:
An arithmetic sequence is a sequence where the common difference between consecutive terms is same
The sequence according to given information is:
2,4,6...
Here
a_1 = 2
a_2 = 4
a_3 = 6
the common difference will be:
[tex]d = a_2-a_1 = 4-2 = 2\\d = a_3-a_2 = 6-4 = 2[/tex]
The arithmetic sequence is given by:
[tex]a_n = a_1+(n-1)d[/tex]
Putting the values
[tex]a_n = 2+(n-1)(2)\\a_n = 2+2n-2\\a_n = 2n[/tex]
Hence,
The function will be: f(n) = 2n
Help! How many points per star does Jayce earn from gold stars?
plz help!!
ALEKS math
Answer:
31
Step-by-step explanation:
10-3= 7 so 3+7=10 and 10+7=17 and you just do this to find the answer
Which of the following expressions is this one equivalent to?
2x? - 15x² + 17x+3
X – 5
x?- 2x+5+
O A.
+2
7
x - 5
2x² - 5x-8 - 37
B.
X-5
2x2 – 25x – 108 - 321
X - 5
D.
2x – 5 –
3
X-5
Answer:
it is D
Step-by-step explanation:
The value of a boat if depreciating at at a rate of 9% per year. In 2006 the boat was worth $17,800. Find the worth of the boat in 2013.
Answer:
The worth of boat in 2013 will be $9202.6
Step-by-step explanation:
Rate of depreciation = 9% = 0.09
Cost of Boat in 2006 =$ 17,800
Cost of Boat in 2013 = ?
Years = 2013-2006= 7 years
The formula used is: [tex]\mathbf{A=P(1+r)^{t}}[/tex]
Since the value of boat is depreciating the value of r will be r=-0.09
Here P = 17,800 , r=-0.09 and t = 7 years Finding A
[tex]A=P(1+r)^{t}\\A=17,800(1+(-0.09))^7\\A=17,800(0.91)^7\\A=17,800(0.517)\\A=9202.6[/tex]
So, the worth of boat in 2013 will be $9202.6