Answer:14
Step-by-step explanation:
3x + 3 + 3x - 1 = 3x + 8
6x + 2 = 3x + 8
3x + 2 = 8
3x = 6
x = 2
HJ= 3(2) + 8 =6 + 8 = 14
HI= 3(2) - 1 = 6 - 1 = 5
IJ = 3(2) + 3 = 6 + 3 = 9
The numerical value of the length HJ such that will be I J equals 3X +3, HI equals 3X-1, and HJ equals 3X +8 will be 14.
What is a line segment?A line section that can connect two places is referred to as a segment.
In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
Given that the line HJ has a length of 3x+8
HJ = 3x+8
The line segment HI has a length of 3x -1
HI = 3x -1
The line segment IJ is 3x + 3
IJ = 3x + 3
Since line HJ = HI + IJ
3x -1 + 3x + 3 = 3x+8
x= 2
The length of HJ will be
HJ = 3(2) + 8
HJ = 14 hence, 14 will be the correct answer.
For more about line segment
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A seagull is floating on the surface of the ocean when it takes off and flies upward at a rate of 4 ft per second. After 19 seconds, how far away from the surface of the water will the seagull be?
Answer:
d = 76 m
Step-by-step explanation:
It is given that, the speed of 4 ft per second when it takes off and flies upward
We need to find how far away from the surface of the water will the seagull be after 9 seconds.
Speed is distance over time.
So,
Distance, d = vt
d=4 ft/s × 19 s
d=76 meters
So, the seagull will be at a distance of 76 m from the surface of water.
solve for each equation and justify EACH step.
3x+4=31
3(2x+1)
solve 1/2(16x-8)=2(x+16)
Answer:
Step-by-step explanation:
3x+4=31
subtract 4 on both sides That gives you
3x=27
now divide 27 by 3
that gives you X=9
———————————————-
3(2x+1)
you distribute 3 into the parentheses
so 3 x 2x is 6x 3x1 is 3
so its 6x+3
————————————————
1/2(16x-8)=2(x+16)
first you distribute 1/2 into the parentheses on the left side and distribute 2 into the parentheses on the right
which gives you 8x-4=2x+32
then you combine like terms 8x+2x is 10x and -4+32 is 28
so you answer to this one is 10x+28
find the equation perpendicular to the line y=2x-2 and passing through (-3 5)
Answer:
wow sry this is a tuff one :(
Step-by-step explanation:
Aliyah wants to estimate the value of the quotient of 5.68 x 10- and 8.54 x 10 Which statement about the value is true?
The value will be greater than 1 because (-3)+(-9) is a positive number. A number in scientific notation with a
positive exponent has a value greater than 1.
The value will be greater than 1 because (-3)-(-9) - 6. A number in scientific notation with a positive exponent is
greater than 1.
The value will be less than 1 because 5.88 - 8.54 is less than 1. The negative exponents will make it even smaller.
The number will be less than 1 because 5.68 x 10- is a very small number and division always makes the size of a
number smaller.
Answer:
B-The value will be greater than 1 because (negative 3) minus (negative 9) = 6. A number in scientific notation with a positive exponent is greater than 1.
Step-by-step explanation:
I hope I was helpful :)
write a step by step proof. the givens are c is the midpoint of segment AB, and point c measures 10cm. prove AC=5cm plz help will mark brainliest
Answer:
Step-by-step explanation:
GIRL! You should add diagrams to these types of questions. It would really help
That 10cm does not mean point C is 10cm. It means the line AB is 10 cm in total.
And since point C is the midpoint, which means that point C cuts the line AB in half, that makes AC = 5cm
Answer:
the answer is fjdixekd
Plzz answer quickly
Answer:
For this question if you need proper help in video format, tthen watch the video of MIND YOUR DECISIONS
Simplify 3(5x + 9 - 4x)
suppose that Y varies directly with X andY equals 12 when X equals -2 what is X when Y equals -6
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
A direct variation equation has the following format:
[tex]y=kx[/tex]
Where k is a constant.
We know that y is 12 when x is -2. Thus, substitute:
[tex]12=-2k[/tex]
Divide both sides by -2:
[tex]k=-6[/tex]
So, our direct variation equations is:
[tex]y=-6x[/tex]
To find what x is when y equals -6, substitute in -6 for y:
[tex]-6=-6x[/tex]
Divide both sides by -6:
[tex]x=1[/tex]
So, our answer is 1 :)
use this information for items 1-3. Aaron has $65 to rent a bike in the city . It costs $15 per hour to rent a bike. The additional fee for a helmet is $3 for the entire ride
Answer:
You will ride for 4 hrs 8minStep-by-step explanation:
What we are expected to solve for that the problem did not expressly state is most likely the number of hours that you could ride for an amount of $65.
firstly we need to model the inequality (equation) for this scenario.
the constant fee= $3 additional fee for helmet
[tex]3+15n\leq 65\\\\[/tex]
We can now solve for n since the above inequality satisfies the condition presented in the problem statement.
[tex]3+15n\leq 65\\\\15n\leq65-3\\\\ 15n\leq 62[/tex]
Divide both sides by 15 to find n
[tex]n\leq 62/15\\\\n\leq 4hrs -8min[/tex]
Solve -2.4x + 3.8x- x
Answer:
Step-by-step explanation:
1.4x - x = 0.4x
plz solve this question immediately
ax+b=c for x how do I solve this can someone help explain it to me.
Answer:
x= c - b / A
please look at the step by step explanation to better understand :)
Step-by-step explanation:
subtract b from the left side and right side
so you are left with Ax = c - b
divide what number c - b is by A
and you are left with x= c - b / A
Pls helppppppppppp will mark brainliest
Answer:
Hence, the distance of a point P(x,y) from the origin is √(x)^2 + (y)^2.
someone please help!
g (f(-3)) = -6 is your answer
Mitchell works at the local movie theater. He currently has $395 in his
savings account and he plans to deposit $30 in his account every week.
Define the variable and write an algebraic expression to show how much
money Mitchell will have in his account after any number of weeks.
Answer: 395+30x
Step-by-step explanation:
Given : Mitchell has $395 now.
He saved $30 each week.
Let x be a variable that represents the number of weeks.
Since, Total amount = Current money + (Money save each week ) (Number of weeks)
Then, Total amount = (395 ) + (30)(x)
= 395+30x
Hence, the required algebraic expression= 395+30x
An algebraic expression is a mathematical expression consisting a variable (a,b,c,..) which can be manipulated .
Solve for x: -1 < x + 3 < 5
Work Shown:
-1 < x+3 < 5
-1-3 < x+3-3 < 5-3 ... subtract 3 from all sides
-4 < x < 2
If 5y + 2 = 8/3, what is the value of 5y - 6?
Answer:
5y - 6 = (-16)/3
Step-by-step explanation:
1. Step:
Solve for y:
5 y + 2 = 8/3
Subtract 2 from both sides:
5 y + (2 - 2) = 8/3 - 2
2 - 2 = 0:
5 y = 8/3 - 2
Put 8/3 - 2 over the common denominator 3. 8/3 - 2 = 8/3 + (3 (-2))/3:
5 y = 8/3 - (2×3)/3
3 (-2) = -6:
5 y = 8/3 + (-6)/3
8/3 - 6/3 = (8 - 6)/3:
5 y = (8 - 6)/3
8 - 6 = 2:
5 y = 2/3
Divide both sides by 5:
y = (2/5)/3
3×5 = 15:
Answer: y = 2/15
2. Step.
Evaluate 5 y - 6 where y = 2/15:
5 y - 6 = 5×2/15 - 6
5×2/15 = (5×2)/15:
(5×2)/15 - 6
5/15 = 5/(5×3) = 1/3:
2/3 - 6
Put 2/3 - 6 over the common denominator 3. 2/3 - 6 = 2/3 + (3 (-6))/3:
2/3 - (6×3)/3
3 (-6) = -18:
2/3 + (-18)/3
2/3 - 18/3 = (2 - 18)/3:
(2 - 18)/3
2 - 18 = -(18 - 2):
(-(18 - 2))/3
| 1 | 8
- | | 2
| 1 | 6:
Answer: (-16)/3
3 3/4 + 4 1/8 . I need it wrote down so i can copy it
Answer:
7 7/8
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
63/8
Decimal Form:
7.875
Mixed Number Form:
7 7/8
Pls help if you know
Answer:
C
Step-by-step explanation:
A: (16 - 12)² = 4² = 16 (Incorrect)
B: -|-4| = -(4) = -4 (Incorrect
C: (96 ÷ 8) - 2³ = 12 - 8 = 4 (Correct)
Please help I will give out brainliest
Answer:
upper bound = 112.5
lower bound = 111.5
Step-by-step explanation:
x = 360 - 59 - 108 - 81
x = 112°
upper bound = 112.5 < 113
lower bound = 111.5 < 112
so
L.B. U.B.
111.5 < 112 < 112.5
Answer:
upper bound = 112.5
lower bound = 111.5
Step-by-step explanation:
x = 360 - 59 - 108 - 81
x = 112°
upper bound = 112.5 < 113
lower bound = 111.5 < 112
so
L.B. U.B.
111.5 < 112 < 112.5
What is the base....
Answer:
Step-by-step explanation:
-5x the base
please help me i rlly need it, thank you
• Answer:
x = 2
• Step-by-step explanation:
AB = AC/2 = 16/2 = 8
AB = 2x + 4
8 = 2x + 4
2x = 8 - 4
2x = 4
x = 4 : 2
x = 2
Ms. Ciervo is making cupcakes. She has 9 2/3 teaspoons of vanilla. Each cupcake needs to have -1/3 teaspoon of vanilla. How many cupcakes can she make?
Answer:
The number cupcakes Ms. Ciervo can make using the [tex]9 \frac{2}{3}[/tex] teaspoons of vanilla is 29.
Step-by-step explanation:
The information provided is:
Ms. Ciervo has [tex]9 \frac{2}{3}[/tex] teaspoons of vanilla. Each cupcake needs to have [tex]\frac{1}{3}[/tex] teaspoon of vanilla.Compute the number cupcakes Ms. Ciervo can make using the [tex]9 \frac{2}{3}[/tex] teaspoons of vanilla as follows:
Amount of vanilla required for one cupcake = [tex]\frac{1}{3}[/tex] teaspoons
Total amount of vanilla available [tex]9 \frac{2}{3}[/tex] teaspoons.
[tex]\text{number of cupcakes}=\frac{\text{total amount}}{\text{amount required for 1 cupcake}}[/tex]
[tex]=\frac{9\frac{2}{3}}{\frac{1}{3}}\\\\=\frac{29}{3}\div\frac{1}{3}\\\\=\frac{29}{3}\times \frac{3}{1}\\\\=29[/tex]
Thus, the number cupcakes Ms. Ciervo can make using the [tex]9 \frac{2}{3}[/tex] teaspoons of vanilla is 29.
Solve for t.
Speed (Velocity)
V = d/t
Answer:
t = d/V
Step-by-step explanation:
V = d/t
Multiply each side by t
Vt = d/t *t
Vt = d
Divide each side by V
Vt/V = d/V
t = d/V
Can u guys PLEASE answer this question ASAP. A fat cat that was initially 12 kg reduces its weight by 10% each month. How long does it take for the cat to be at least 6 kg lighter than its original weight? Give your answer as a whole number of months.
Answer:
It takes at least 7 months for the cat to be at least 6 kg lighter than the original weight.
Step-by-step explanation:
Use exponential decay formula:
A = P (1-r)t
A = amount decreased to
P = original amount
r = rate of decrease
t = time
6 ≥ 12 (1-0.10)t divide both sides by 12
0.5 ≥ (0.9)t take log of both sides
log (0.5) ≥ log (0.9)t power rule of logs lets the exponent t drop to front of log to become a factor
log (0.5) ≥ t log(0.9) divide both sides by log(0.9) which is negative so reverse the inequality sign
log (0.5) / log (0.9) ≤ t use calculator
6.57 ≤ t
It takes at least 7 months for the cat to be at least 6 kg lighter that original weight.
check:
12 (0.9)7≈ 5.73
12 (0.9)6 ≈ 6.37
10² - (-10)² - (-10)²
Answer:
-100 (10*10)- (-10*-10) - (10*10)
Step-by-step explanation:
look at image. reflection across y= -1
Answer:
Y 2,1 X 0,1 W 0,4 Z 3,5 will be the new reflected points
Step-by-step explanation:
help help help help help help
Answer:
a) (-2, -1)
b) (-3, 0) and (-1, 0)
Step-by-step explanation:
The turning point is the same as the vertex of the graph.
The vertex would be (-2, -1).
The zeros of the equation would be where the graph crosses the x-axis when y = 0.
The roots would be (-3, 0) and (-1, 0).
Help asap plsssss:(((
Answer:
84
Step-by-step explanation:
Answer:
84
Step-by-step explanation:
Given
(- 6)(- 2x - 4y) , substitute x = 1, y = 3 into the expression
= (- 6)(- 2(1) - 4(3) )
= (- 6)(- 2 - 12)
= (- 6)(- 14)
= - 6 × - 14
= 84
A line that passes through the points (2,1) and 6,9
Step-by-step explanation:
this is the ans in my view