Answer:
x = 10
Step-by-step explanation:
Method 1: Algebraically
1. 4x+6 = 2(3x-7) - Multiply out the 2
2. 4x+6 = 6x-14 - make x the subject of the formula first by subtracting 4 from both sides
3. 6 = 2x-14 - add 14 to both sides
4. 20 = 2x - divide by 2 to solve for x
5. 10 = x - Answer
Method 2: Graphing
Use a graphing calculator to solve for the answer
1. set one side to y1 and the other to y2
2. set the correct window
3. press 2nd then trace
4. Select option 5 to find the intersection
A bag contains 2 red, 8 blue, and 8 green marbles. Grant picks one at random and keeps it. Then Bailey picks a marble. What is the probability that they both select a red marble?
Answer:
the number of red marbles ÷
the number of marbles
[tex] \frac{2}{18} = \frac{1}{9} [/tex]
Therefore the probability that they both select a red marble is 1/9
Maricow county charges a 4% local fee on all cell phone bills. If a customers bill comes out to 125 what will their bill be including the local fee their bill
Answer:
$130
Step-by-step explanation:
Given data
Customer bill= $125
Charge= 4%
let us find 4% of $125
=4/100*125
=0.04*125
=$5
Hence the bill including the local fee is
=125+5
=$130
In the coordinate plane shown below, which point
could have coordinates (3,-2) ?
A.
B.
C.
D.
Answer:
D
Step-by-step explanation:
At least Im Sure lol
Solve the quadratic equation by using either numeric or a graphic approach x^2 - 14x - 49 = 0
Answer:
[tex]x = + - 7\sqrt{2 + 7} [/tex]
or in decimal form:
x = 16.89 , -2.89
You get this by completing the square.
Answer:
C
Step-by-step explanation:
edge 2021
Determine the center and radius of the following circle equation:
x^2+y^2+12x-10y+12=0
Answer:
Center: ( -6,5) Radius: 7
Step-by-step explanation:
I hope this helps!
Answer:
radius = 9
C:(9,3)
Step-by-step explanation:
5. What is the volume of the pyramid? *
5 points
8 in.
6 in.
7 in.
112 in 3
168 in 3
224 in 3
336 in 3
Step-by-step explanation:
jawabannya
336 in 3
cuma di kali kali
8×7×6=336
Solve the 4 letter code please I need it before midnight, it's not a word.
Answer:
1. E
2. A
3. B
4. I
Step-by-step explanation:
EABI, try it out, comment if i get it right, i am so f**cking tired right now so sorry if its wrong
Evaluate the function requested. Write your answer as a fraction in lowest terms.
Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is 13, adjacent A C is 12, opposite B C is 5.
Find tan A.
Answer:
sine A = four-fifths
Step-by-step explanation:
You have a rectangle triangle ABC with hypotenuse AB 35, side CB 28 and side CA 21. The angle C is 90°.
tanA =5\12
As
tanA = opposite\adjacent
= BC\AC
= 5\12
What is trigonometry?
Trigonometry is a branch of maths that studies relations between the sides and angles of triangles. Trigonometry is found all throughout geometry, as every straight-sided shape may be broken into a collection of triangles.
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Find the size of x and y
Answer:
x = 50°
y = 50°
Step-by-step explanation:
x = y because it is an isosceles triangle
2x + 80 = 180°
2x = 100°
x = 50°
y = 50°
Mr. And Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 81%. If they have four children, what is the probability that exactly four of their four children will have that trait? Round your answer to the nearest thousandth.
Answer:
0.430 (nearest thousandth)
Step-by-step explanation:
Using binomial probability relation :
p = 0.81
n = 4
x = 4
1 - p = 1 - 0.81 = 0.19
Recall ;
P(x =x) = nCx * p^x * (1 - p)^(n - x)
P(x = 4) = 4C4 * 0.81^4 * 0.19^(4-4)
P(x = 4) = 1 * 0.43046721 * 1
P(x = 4) = 0.43046721
P(x = 4) = 0.430 (nearest thousandth)
Find the sum to 9 terms of the geometric SERIES 3 + 18 + 108
Answer:
129
Step-by-step explanation:
Answer:
I think the answer is 129. I'm not sure and if I'm wrong I apologize.
Step-by-step explanation:
3+18=21
21+108=129
I have two turtles. Today, the older turtle's age is $11$ times that of the younger turtle. In $24$ years, the older turtle's age will only be $7$ times that of the younger turtle. If both turtles survive until then, how many years from today will the older turtle's age be triple that of the younger turtle?
Answer:
Let $y$ be the younger turtle's age today. Then the older turtle's age today is $11y.$ So $24$ years from now, the younger turtle's age will be $y+24$ and the older turtle's age will be $11y+24.$ However, we know the older turtle's age will be $7$ times that of the younger turtle then, which tells us that
\[11y+24=7(y+24).\]Distributing, we get $11y+24=7y+168.$ Subtracting $7y+24$ from both sides of this equation, we get $4y=144,$ so $y=36.$
This is the younger turtle's age today, but that's not what we're looking for in this problem - we're looking for the number of years from today that the older turtle's age will be triple that of the younger turtle. Let $k$ be this number of years. Since the younger turtle's age today is $y=36$ and the older turtle's age today is $11 \cdot 36=396,$ it follows that $k$ years from now my turtles' ages will be $36+k$ and $396+k$ respectively. Since we want to know when the older turtle's age will be triple that of the younger turtle, we want to know for what $k$ this equation will be true:
\[3(36+k)=396+k.\]Distributing, we get $108+3k=396+k.$ Subtracting $k+108$ from both sides of this equation, we get $2k=288.$ Therefore, $k=\boxed{144}.$
Step-by-step explanation:
A number which is divided by 5, with the result as 50 less than if the number had been divided by 6 would be; -1500
How to solve Algebra Word Problems?Let the number be x. We are asked that it is divided by 5, and the result is 50 less than if the number had been divided by 6;
(x/6) - (x/5) = 50
Multiply by 30 to get;
5x - 6x = 1500
-x = 1500
x = -1500
Let the older turtle be represented x and the younger one be y.
Todays age,
Older turtle = 11y years
Younger turtle = y years
Also the equation form as;
11y + 24 = 7(y + 24)
11y + 24 = 7y + 168
11y - 7y = 168 - 24
4y = 144
y = 144/4
y = 36
Thus;
Age of older turtle today = 396 years
Age of younger turtle today = 36 years
Therefore,
3(36 + t) = 396 + t
108 + 3t = 396 + t
2t = 292
t = 292/2
t = 146 years
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PLEASE HELP ASAP PLEASE
Answer:
9
Step-by-step explanation:
Range = Max value - min value
Max value = 6
Min value = -3
Range:
6 - (-3)
6 + 3
9
Answer:
9
Step-by-step explanation:
there are 9 numbers between -3 and 6 ;)
Mario works at Bluebonnet Ice Cream parior.He earns $87.50 every 7 hours of work.Rachel works at Guadalupe Music Store and earns $39.75 for every 3 hours of work.How does the amount Mario earns per hour compare with the amount Rachel earns per hour?
Answer:
63
Step-by-step explanation:
look at the picture in need help
Answer:
$500
Explanation:
If Joe saved 60% of the cost, given that the amount he saved was $300, to find the total cost of the computer, we need to know 100% of the cost.
60% = $300
[Set the percentage to a fraction and let x be the total cost]
(60/100) x = $300
60x / 100 = $300
_____________
60 → 30 × 2 → 15 × 2 × 2 → 5 × 3 × 2 × 2
______________________________
100 → 50 × 2 → 10 × 5 × 2 → 5 × 2 × 5 × 2
_______________________________
5 × 3 × 2 × 2 / 5 × 2 × 5 × 2 =
3 / 5.
_____________________________
3x / 5 = 300
3x / 5 × 5 = 300 × 5
3x = 1500
÷3 ÷3
x = $500
Can you please answer this honestly no need for explanation
Answer:
alternate exterior: 2 and 7
corresponding: 1 and 5
alternate interior: 3 and 6
Step-by-step explanation:
Answer:
a= 8 and 1
b= 7 and 3
c= 6 and 3
Step-by-step explanation:
solve for x to the nearest ten
Answer:
in right angled triangle ABC
by using Pythagoras law
h²=p²+b²
x²=7²+10²
x=√149=12.21cm
cs.
The width of a rectangle is
12 cm less than the length.
The area is 64 cm2. Find the
length and width.
Answer:
Length of rectangle = 16 cm
Width of rectangle = 4 cm
Step-by-step explanation:
Given:
Area of rectangle = 64 cm²
Find:
Length and width
Computation:
Assume;
Length of rectangle = a
So,
Width of rectangle = a -12
Area of rectangle = l x b
So,
a(a-12) = 64
a² - 12a - 64 = 0
a² - (16-4)a - 64 = 0
a² - 16a+ 4a - 64 = 0
a (a-16) + 4(a-16)= 0
(a-16)(a+4) = 0
a= 16 , a = -4
So,
Length of rectangle = 16 cm
Width of rectangle = a -12
Width of rectangle = 16 -12
Width of rectangle = 4 cm
((PLEASE SOLVE )) In ABC the measure of the largest angle is 17 less than 4 times the smallest angle. The measure of the middle angle is 10 more than half the measure of the largest angle. What is the measure of the middle angle?
Unknown, This is physically impossible to answer.
You need to give more information than that, or an image.
also what type of triangle is it obtuse acute right e.t.c.
Please put more information so i can answer this the correct way.
Find x. Please help with This problem!!!
Step-by-step explanation:
7+2x-2 = 4x -3
5= 2x -3
2x = 8
x = 4
Will mark brainliest
Help me with this ASAP!!!
Answer:
136
Step-by-step explanation:
GEMDAS
G - groupings
E - exponents
M - multiply
A - add
S - subtract
factorise it
[tex]v[/tex]
Answer:
2(x – ½)(x + ½)
Step-by-step explanation:
2x² – ½
The above expression can be factorised as follow:
2x² – ½
2 is common to both 2 and ½. Thus,
2x² – ½ = 2[x² – ¼]
Recall
(½)² = ¼
Thus,
2[x² – ¼] = 2[x² – (½)²]
Difference of two squares
2(x – ½)(x + ½)
Therefore,
2x² – ½ = 2(x – ½)(x + ½)
Help please I’m being timed!!
Answer:d
Step-by-step explanation:
Can someone help me please
A. 5
B.25
C.81
D. 128
Answer:
b 25
Step-by-step explanation:
Find the area and thank
Answer:
40 meters
Step-by-step explanation:
Same premise as the other question. 12 ÷ 2 = 6 (for the double dashes) and 8 ÷ 2 = 4 (for the single dashes). Add all the numbers up:
[tex]12+8+6+6+4+4=40[/tex]
Answer:
40
..................
Step-by-step explanation:
8 + 6 +4 + 6 + 4 + 12 = 40
Mountain lions are capable of jumping high into the ait If mountain lion jumps 9 feet off the ground and then comes back down, its height above the ground varies according to the equation h = - 16t ^ 2 + 24t where t = 1 time in seconds and h = heig in feet The right side of this equation can be factored to get the equivalent equation h = - 8t * (2t - 3) What do the factors 2t - 3 mean in this situation?
The factors 2t - 3 represent the time it takes for the mountain lion to reach its highest point and return back to the ground.
Used the concept of a quadratic equation that states,
An algebraic equation with the second degree of the variable is called a Quadratic equation.
Given that,
The equation h = -16t² + 24t represents the height (h) of the mountain lion above the ground at any given time (t) in seconds.
Now, By factoring the equation as,
h = -16t² + 24t
h = -8t × (2t - 3)
Here, Factor 2t - 3 indicates the time it takes for the height (h) to reach zero, which corresponds to the mountain lion being on the ground.
So, when 2t - 3 equals zero, the height is zero, indicating that the mountain lion has returned to the ground.
Therefore, factors 2t - 3 help us determine the point in time when the mountain lion reaches its peak height and when it returns back to the ground.
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pleaseeeeeeee help meee
Answer:
11
Step-by-step explanation:
sorry if I got it wrong but from what I understand it is 11
What is the equation of the line shown in the graph?
Answer:
y = -1/5x + 3
Step-by-step explanation:
y=mx+b
I need help with this question ( see image). Please show workings.
Answer:
(a) AC = 12.565 m
(b) bearing of C from A is 90°
(c) BT = 9.373 m
Step-by-step explanation:
(a) extend North line down & perpendicular to AC.
Call that perpendicular intersection "P".
∠BAC = 90° - 53° = 37°
cos 37° = AP/15
0.7986 = AP/15
AP = 11.979 m
∠PNC = 180° - 161° = 19°
∠BCP = 90° - 19° = 71°
18 cm = 0.18 m (red flag note: 18 cm looks very out of scale for the picture)
cos 71° = CP/0.18
0.3256 = CP/0.18
CP = 0.586 m
AC = 11.979 + 0.586 = 12.565 m
(b) The bearing to C from A is 90°
(c) tan 58° = 15/x
1.6003 = 15/x
x = 9.373 m