points A,B,and C are collinear. Point B is between A and C. AC= 3x+3, AB= -1+2x, and BC= 11. Find x
The value of x is -15 units when points A,B,and C are collinear. Point B is between A and C.
What is line segment?
It is a part of line having two ends points.
The simplest definition of a line is an arrangement of points that extends in opposite directions to infinity, while a ray is a section of a line that has one endpoint and extends continuously in one direction, while a segment of a line is a section of a line between two endpoints.
Here, it is given that points A,B and C are collinear that is all lies in the same plan and also :
Length of AC = 3x+3
Length of AB = -1+2x
and, BC = 11 units
Now, to calculate x we subtract length AB with AC and equate it to length of BC that is 11 units :
AB = AC + BC
-1+2x = 3x+3 + 11
3x-2x = -1 -3 - 11
x = -15 units
Therefore, the value of x is -15 units when AC= 3x+3, AB= -1+2x, and BC= 11.
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I need help please to find what it equals too
Answer:
x > 29
Step-by-step explanation:
Multiply each term in -x < -29 by -1
Inequality Form: x > 29
Interval Notation: (29, infinite)
Use the discriminant to determine the number of real solutions to the quadratic equation.
- 4y^2 – 9y - 3 = 0
What is the number of real solutions?
Answer:
2 real solutions
Step-by-step explanation:
D = b²-4ac
If D = 0 then 1 real solution
if D > 0 2 real solutions
if D < 0 no real solutions
a = -4
b = -9
c = -3
D = 81 - 48
D = 33
2 real solutions
Travis's income is $3400 a month, and he plans to budge 3/8 of his income of savings and 1/3 of his income for groceries.
Step 2: What amount of money does he intend to spend each month of these items together? Round your answer to the nearest dollar.
Travis's will spend each month is $2,408
How to calculate the amount Travis will spend each month ?Travis income is $3400
He plans to budge 3/8 of his income on savings
He also plans to give 1/3 of the income on groceries
The amount spent on savings is
= 3/8 × 3400
= 3 × 425
= 1,275
The amount spent on groceries is
1/3 × 3400
= 3400/3
= 1,133.33
The amount spent altogether is
1,133.33 + 1,275
= 2,408.3
Hence the amount Travis spent from his income each month is $2,408
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find the lcm of the following set of number using decomposition method
6,9,27,and 36=lcm=
Answer:
∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 1 x 3 x 2 = 108
Wendell wanted shoes that cost $50.
He found a discount code for 27% off. How much did Wendell save by using the discount code?
I
Answer:
$13.5
Step-by-step explanation:
50 x 0.27
= 13.5
If it takes you 40 seconds to travel from the first floor of a building to the third floor, how long will it take to travel from the first floor to the eighth floor (at the same pace, assuming all floors have equal height)? State your answer in seconds.
Answer: 104 seconds.
Step-by-step explanation: if it takes you 40 seconds to travel from the first to the third floor, then to pass one floor it will take 13 seconds. 40 divided by 3 which is 13. you then do 13x8 to figure out the time it would take you to travel through all the floors which is 104 seconds.
40/3 = 13
13 x 8 = 104
The answer is 104.
4) The fishing fleet left Manilow Bay when the water level reached
32 feet. At 5:00am, the depth was 27 feet. The tide rose at the rate of 1
and ½ feet per hour for the next 6 hours. The depth of the water was
measured every hour on the hour. At what time may the fleet leave?
The time the fleet may leave the Manilow Bay given the rate at which the depth rises is 9am.
What time may the fleet leave?The fishing fleet would leave when the water level reaches 32. At 5 am, the water level is 27 feet. The water level needs to rise 6 more feet (32 - 27) before the fleet can leave.
In order to determine the time, divide 6 feet by the rate at which the tide rises. Division is the mathematical operation that is used to determine the quotient of two or more numbers.
Hours when the tide would rise 6 feet = 6 ÷ 1 1/2
6 x 2/3 = 4 hours
Add 4 hours to 5am : 5am + 4 = 9am
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A tailor has a glass jars on a shelf.
Each jar holds 242 buttons. How many
buttons does the tailor have in all?
A 1,868
B) 1,800
C) 2,360
D) 2,178
Answer: D.
Step-by-step explanation: You can only have a whole number of jars. If you divide options A, B, and C, you will get a number with a wild decimal. Option D is correct because 2,178 divided by 242 is 9, which does not have a wild decimal.
The coordinates of the point Q are (-7,-8) and the coordinates of point R are (-7,0). What is the distance, in units, between the point Q and point R?
The distance between the points Q and R is found to be 8 units.
What is defined as the distance formula?Algebraic expression that provides the distances between two points as a function of their coordinates (like coordinate system).
The distance equations for points in rectangular coordinates in two- and three-dimensional Euclidean space are based on the Pythagorean theorem.A line segment can be graphed both in two-dimensional & three-dimensional coordinate planes because it has a starting and stopping point. The two-dimensional coordinate plane allows the starting and stopping points to also be labeled as two-dimensional coordinates (x₁, y₁) and (x₂, y₂), respectively, resulting in the distance formula as: d = √(x₂ - x₁)² + (y₂ - y₁)².Now, as per the stated question;
The coordinates of the points Q and R are given as;
Q = (x₁, y₁) = (-7,-8)
And, R = (x₂, y₂) = (-7,0)
Now, substitute the values in the distance formula;
QR = √(-7 - (-7))² + (0 - (-8))²
QR = √(0)² + (8)²
QR = 8
Therefore, the distance between the points Q and R is calculated as 8 units.
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Determine slope of any line perpindicular to GH. (-1,2) (-2,-1)
Answer:
Perpendicular slope = – 1/m = -1/3 = -1/3
Step-by-step explanation:
Given the points
(-1,2)(-2,-1)[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-1,\:2\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-1\right)[/tex]
[tex]m=\frac{-1-2}{-2-\left(-1\right)}[/tex]
[tex]m=\frac{-1-2}{-2-\left(-1\right)}[/tex]
[tex]m=3[/tex]
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = 3
perpendicular slope = – 1/m = -1/3 = -1/3
Thus, the slope of any line perpendicular to GH = -1/3
help please that is the question
Answer:
wait that is a activity, you gotta like paint a picture or something I guess
Answer:
have fun painting!! :)
Step-by-step explanation:
-4 -5c - 6 + 5c - 2c
Answer:
-4 -5c -6 +5c -2c
-2c -10
Step-by-step explanation:
Answer:
-2c-10 :)
Step-by-step explanation:
A total of 6 cups of flour were used to make 4 pans of brownies. Which graph has a
slope that best represents the number of cups of flour used per pan of brownies?
Brownies
Pls help give brainly
evaluate. 25 ÷ 5 + 7 - (4 x 3) =
Step-by-step explanation:
=25÷5+7(4×3)
=5+84
=420
hope it helps.
Answer:
0
Step-by-step explanation:
25/5=5
5+7=12
4x3=12
12-12=0
Alberto received an inheritance of $10,000 that he decided to put into a savings account and collect the interest. He has a choice of investing in one of two plans. The Gold savings account will allow him to invest his inheritance at 3% simple interest for 4 years. The Student savings account will allow him to invest his inheritance at 2.75% simple interest for 4 years. As part of a limited time promotion, the bank will give Alberto $1000 to be added to his principal if he opens a Student savings account. which plan will earn Alberto the most money after 4 years.
Answer:
tthw student saavings account
Step-by-step explanation:
You deposit $500 into an account that is compounded quarterly at a rate of 7.2%. In how many years will it take for your account to have over $1000?
Answer:
4560 is right answer
Step-by-step explanation:
4560 is right answer
What is the surface area?
I NEED HELP ASAP PLEASE AND THANK YOU.
Answer:
C
Step-by-step explanation:
Happy Holidays ❄️☃️
HELPP WHATS THE ANSWERRR
Answer:
C
Step-by-step explanation:
X can’t have 2 y’s
Can someone help me really quick and explain.
30 points!
Answer:parallel lines never intersect an example could be train tracks, and perpendicular lines intersect
Step-by-step explanation:
Four friends are equally splitting 1/2 pound of candy. How much will each friend get? Possible answers are,
8 pounds
1/4 pound
16 pounds
1/8 pound
Answer:
1/8
Step-by-step explanation:
1/2 pound equals 4/8 so to split it evenly they each get 1/8
Answer:
1/8 pounds
0.50 ÷ 4 = 0.125
1÷8 = 0.125
Need ASAP if you don’t know the answer don’t answer
Answer:
254.47
Step-by-step explanation:
John Beale of Stanford, California, recorded the speeds of cars driving past his house, where the speed limit read 20 mph. The mean of 100 readings was 23.84 mph, with a standard deviation of 3.56 mph. (He actually recorded every car for a two-month period. These are 100 representative readings.) a. How many standard deviations from the mean would a car going under the speed limit be? b. Which would be more unusual, a car traveling 34 mph or one going 10 mph?
How many standard deviations from the mean would a car going under the speed limit be -1.0787
Which would be more unusual: a car traveling 10 mph
Given data:
At speed limit of 20 mph mean of 100 readings was 23.84 mph
and a standard deviation of 3.56 mph
The speed limit read 20 mph
How to find the standard deviations from the mean that the car going under the speed limitAssuming the car going under the speed limit of 20 mph be y
such that
20 = 23.84 + y * 356
356y = 20 - 23.84
y = ( 20 - 23.84 ) / 356
y = -1.0787
How to find which is more unusualA car traveling 34 mph: using y same as number of deviations from the mean
34 = 23.84 + 3.56y
y = ( 34 - 23.84 ) / 3.56
y = 2.8539
Meaning the car travelling at 34 mph is 2.8539 standard deviations above the mean
A car traveling 10 mph: using y same as number of deviations from the mean
10 = 23.84 + 3.56y
y = ( 10 - 23.84 ) / 3.56
y = -3.8876
Meaning the car travelling at 10 mph is 3.8876 standard deviations below the mean
From the the rule that 99.7% of the observations lie with in ±3 standard. The speed of 10 mph is outside these limits but 34 mph is within the limits. Hence we say that the car travelling 10 mph is more unusual
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Isabel is making covers for the throw pillows on her sofa. For each pillow cover, she needs 1/28 yard of print fabric and 1/20 yard of solid fabric. What is the total amount of fabric Isabel needs for each pillow cover?
Answer:
3/35
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can u please help with these questions, they're do in 10 minutes and I have trouble with angles
A circular pond has a radius of 3 feet. What is the approximate distance around the edge of the pond, in feet?
A.3π
B.6π
C.9π
D.12π
Billy’s grandfather gave him $1,200 when he turned 16 towards buying a new car that he wanted, which cost $25,000. He saved $500 a month from his job as a computer programmer. Write a function you would use to calculate how long would it take before he could buy the car and provide the answer? Round you answer to the nearest 10th.
Answer:
500X+1200=25000
X is the month count
answer is 47.6 months
5x+30=45 solve for x
Answer:
3
Step-by-step explanation:
5x=45-30
5x =15
divide both sides by 5
x=3
8114 divided by 3 with remainder
Tell me the quotient and remainder
Answer:
2704.66667 would be your answer