Answer:
27
Step-by-step explanation:
If Fiona's age is x, Dan and Gavyn's ages respectively are x + 8 and x - 9. We can write:
x + x + 8 + x - 9 = 56
3x - 1 = 56
3x = 57
x = 19
The eldest is Dan (because x + 8 > x and x + 8 > x - 9). His age is x + 8 = 19 + 8 = 27.
can someone help ???
Answer: 450
Step-by-step explanation:
971 = B + (T+71)
971-71 = 2 B
450 = B
what is the solution to the inequality a-3>5
Answer:
a > 8
Step-by-step explanation:
a-3>5
Add 3 to each side
a-3+3>5+3
a > 8
Answer:
a > 8
Step-by-step explanation:
a - 3 > 5
Add 3 on both parts.
a - 3 + 3 > 5 + 3
The a variable must be on one side.
a > 8
Can someone plzz help ASAP !!!
Answer & Step-by-step explanation:
First, we must evaluate each number so we can see the value of them.
π = 3.141592...
√10 = 3.162277...
-5/2 = -2.5
10/3 = 3.3333....
-1/4 = -0.25
Now, let's order these numbers from greatest to least just as the problem has asked.
1st: 10/3
2nd: √10
3rd: π
4th: -1/4
5th: -5/2
Two boxes are similar, the length of the side of the small box is 4cm, the length of the side of the big box is 16cm. The volume of the big box is 320cm3 what is the volume of the small box?
Answer:
80cm^3
Step-by-step explanation:
16/4 = 4
This means that the scale factor = 4
320cm^3 = Volume of BB
BB/4 = Volume of SB
320/4 = 80
Therefore, the volume of the small box = 80cm^3.
15
Find the values of x in this equation: x-
-= 2.
х
A.
-7,3
B.
-5, 2
C.
-7,5
D.
-2,5
E.
-3,5
Reset
Next
Answer:
Option (E)
Step-by-step explanation:
Expression given in the attachment,
[tex]x-\frac{15}{x}=2[/tex]
By multiplying with x on both the sides of the given equation,
x² - 15 = 2x
x² - 2x - 15 = 0
x² - 5x + 3x - 15 = 0
x(x - 5) + 3(x - 5) = 0
(x + 3)(x - 5) = 0
(x + 3) = 0
x = -3
And (x - 5) = 0
x = 5
Therefore, x = -3, 5 are the solutions of the given equation.
Option (E) will be the answer.
Which compound inequality can be used to solve the inequality 13x+2 >7?
RE
-7 <3x+2> 7
ОООО
-7> 3x+2> 7
3x + 2 >-7 or 3x + 2 >7
3x + 2<-7 or 3x + 2 >7
Answer:
(D)[tex]3x+2 < -7$ or $3x+2 >7[/tex]
Step-by-step explanation:
Given the absolute inequality: [tex]|3x+2| >7[/tex]
When solving absolute inequalities, if the problem has a greater than sign we set up an "OR" compound inequality that looks like this:
(Expression inside absolute value) < - (number on other side) OR (Expression inside absolute value) > (number on other side)Therefore, for the absolute inequality |3x+2| >7, we have:
[tex]3x+2 < -7$ or $3x+2 >7[/tex]
The correct option is D.
Situation:
Find the age of the mammal hide to the nearest
year.
A farmer in China discovers a mammal
hide that contains 76% of its original
amount of C-14.
Enter the correct answer.
DONE
N= Noekt
DOO
GO
No = inital amount of C-14 (at time
t = 0)
N = amount of C-14 at timet
k = 0.0001
t = time, in years
Find the age of the mammal hide to the nearest
The answer is 3425.
Be safe!
-Eli
:))
An: The person above is wrong the answer is actually 2744.
Step-by-step explanation:
Pls hurry
For what value of the variable is the value of the expression:
8-y two times greater than the value of the expression 7+y?
Answer:
-2
Step-by-step explanation:
8--2=8+2=10
7+-2=7-2=5
5x2=10.
PLEASE ANSWER QUICK! I REALLY NEED HELP!
Answer:
a) Angle 1 = Value in degree = 95°
b)Angle 2 = Value in degree = 77°
c) Angle 3 = Value in degree = 85°
d) Angle 4 = Value in degree = 103°
Step-by-step explanation:
We use circle theorems to solve for this above question.
a) Angle 1 = Value in degree = 95°
Inscribed Angle is 1/2 of an Intercepted Arc
From the diagram, Angle 1 intersects at Arc B and Arc C
This means Angle 1 = (B + C)/ 2 =
Arc B = 100°
Arc C = 90°
Angle 1. = (100° + 90°)/ 2 = 190/ 2 = 95°
b)Angle 2 = Value in degree = 77°
From the diagram, Angle 2 intersects at Arc C and Arc D
Inscribed Angle is 1/2 of an Intercepted Arc
This means Angle 1 = (C+ D)/ 2
C = 90°
D = 64°
Angle 1. = (90° + 64°)/ 2 = 154/ 2 = 77°
c) Angle 3 = Value in degree = 85°
From the diagram, we can see that Angle 1 is opposite Angle 3, hence,
Opposite angles are supplementary which means their addition = 180°
Mathematically:.Angle 1 + Angle 3 = 180°
Angle 1 = 95°
95° + Angle 3 = 180°
Angle 3 = 180° - 95° = 85°
d) Angle 4 = Value in degree = 103°
From the diagram, we can see that Angle 2 is opposite Angle 4,
Hence,
Opposite angles are supplementary which means their addition = 180°
Mathematically:.Angle 2 + Angle 4 = 180°
Angle 2 = 77°
77° + Angle 3 = 180°
Angle 4 = 180° - 77° = 103°
pls help answer the question in the picture attatched!
Answer:
N27W
Step-by-step explanation:
Add vectors
w = u+v = <-4,3>+<1,3> = <-3,6>
Cartesian Direction
theta = atan(6,-3) (second quadrant) = 180-63.4 degrees = 116.6 degrees
Bearing = 90-theta = -26.6 degrees from north = N26.6W
Answer:
Answer:
N27W
Step-by-step explanation:
Add vectors
w = u+v = <-4,3>+<1,3> = <-3,6>
Cartesian Direction
theta = atan(6,-3) (second quadrant) = 180-63.4 degrees = 116.6 degrees
Bearing = 90-theta = -26.6 degrees from north = N26.6W
Step-by-step explanation:
Here are the first 5 terms of a sequence 3,8,17,30,47 find an expression, in terms of n for the nth term of this sequence
Answer:
The first differences are 5, 9, 13, 17, and so the second differences are all 4.
Halving 4 gives 2, so the first term of the sequence is 2n^2.
Subtracting 2n^2 from the sequences gives 1,0,-1-2,-3 which has the nth term -n+2.
Therefore, the formula for this sequence is 2n^2 -n +2.
Answer:
2n^2 - n +2
Step-by-step explanation:
3,8,17,30,47
-------------
this is the final form I got after playing for a while:
1. 3= 4*1 + 1 - 2= 4*(1+0) + 1 -2 = 4*(1 + (1-2)(1-1)/2) + 1- 22. 8= 4*2 + 0 = 4*(2+0)+0= 4*(2+0) + 2-2= 4*(2+ (2-2)(2-1)/2) + 2-23. 17= 4*4 + 1= 4*(3+1) +1= 4*(3+1) + 3-2= 4*(3+ (3-2)(3-1)/2) + 3-24. 30= 4*7 +2= 4*(4+3)+2= 4*(4+3) + 4-2= 4*(4+ (4-2)(4-1)/2) + 4-25. 47= 4*11+ 3= 4*(5+6)+3 = 4*(5+6) + 5-2= 4*(5+(5-2)(5-1)/2) + 5-2.....
n. an= 4*(n+(n-2)(n-1)/2)+ n- 2= 4n + 2(n^2 -3n+2) + n-2==4n +2n^2 - 6n +4 + n - 2= 2n^2 - n +2an= 2n^2 - n +2-------------
tested in excel and works:
1 2 3 4 5 6 7 8 9 10
3 8 17 30 47 68 93 122 155 192
Last weekend 270 movie tickets were sold. This weekend 216 tickets were sold.
Find the percent of change in the number of tickets sold from last weekend to
this weekend.
Answer:
brainliest appreciated
Step-by-step explanation:
270- 216 = 54
so ...the percentage becomes
54/270 × 100 = 20%
What is the y-intercept of the line with the equation y = one-half x minus 3?
a.-3
c.-6
b.6
d.One-half
Answer: A
Step-by-step explanation:
The equation given is y=1/2x-3. The y-intercept is the contant. It does not have any variable attached to it. The y-intercept is -3.
Answer:
A. -3
Step-by-step explanation:
The y intercept of a equation will always be the one that's has no variable beside it
Example: y=2x+5
In this equation, 5 is your y intercept
And 2 is your slope
Hope this helps!
What is the center of the circle that has a diameter whose endpoints are (4, 1) and (-6, 5)?
Answer:
(-1,3)
Hope this helps
the qestion is in the picture
Answer:
25 students are in the class.
Step-by-step explanation:
There are 3/5 girls, and there are 10 boys, so there are 2/5 boys. 5/5 is the whole class, so here is how we would solve it: 2/5=10 3/5=15, 10+15=25. Hope this helps!
Help, I’m stuck on this question
Answer: 33 degrees
Step-by-step explanation: Angle x=angle m
Answer:
the triangle on the left is named XYZ
the triangle on the right is named MNL
therefore ∠X ≅ ∠M, ∠Y ≅∠N, and ∠Z ≅ ∠L
since ∠X = 33º, then ∠M = 33º
hope this helps :)
what is the square root of 9/49
Answer:
[tex] \pm \frac{3}{7} [/tex]
Step-by-step explanation:
[tex] \huge \sqrt{ \frac{9}{49} } = \pm \frac{3}{7} \\ [/tex]
help me please.............
Answer:
6^(x)-x+8Step-by-step explanation:
(f+g)x=(6^(x)-4)+(12-x)
(f+g)x=6^(x)-4+12-x
(f+g)x=6^(x)-4+12-x
(f+g)x=6^(x)+8-x
(f+g)x=6^(x)-x+8
This is option 2 or the one you picked
Fiona draw a circle with a diameter of 14 meters. What is the area of Fiona circle?
Answer:
153.938 meters
Step-by-step explanation:
The area of a circle is Pi * (Radius)^2. The radius is the diameter/2.
14/2=7
Pi * (7)^2
153.938 m
Answer:
154 cm^2Step-by-step explanation:
[tex]d =14\\Area = \pi \times r^2\\r = d/2\\r = 14/2\\r= 7\\A = 22/7 \times 7^2\\\frac{22}{7} \times 49\\Simplify\\\frac{22}{1} \times 7\\Area =154[/tex]
[tex]A =\frac{1}{4} \pi \times d^2\\A = \frac{1}{4} \times \frac{22}{7} \times14^2\\A = 1/4\times22/7\times196\\A = 154cm^2[/tex]
Horatio is solving the equation Negative three-fourths + two-fifths x = StartFraction 7 Over 20 EndFraction x minus one-half. Which equations represent possible ways to begin solving for x? Check all that apply. Two-fifths x = StartFraction 7 Over 20 EndFraction x + one-fourth Two-fifths x = StartFraction 7 Over 20 EndFraction x + five-fourths Negative three-fourths = negative StartFraction 1 Over 20 EndFraction x minus one-half Negative three-fourths = three-fourths x minus one-half Negative three-fourths + StartFraction 1 Over 20 EndFraction x = negative one-half
Answer:
x = 5
Step-by-step explanation:
Step 1: Write equation
-3/4 + 2/5x = 7/20x - 1/2
Step 2: Subtract 7/20x on both sides
-3/4 + 1/20x = -1/2
Step 3: Add 3/4 to both sides
1/20x = 1/4
Step 4: Divide 1/20 on both sides
x = 5
Answer: Answer: The answer is A,C,E
A: 2/5x = 7/20 x+ 1/4
C: -3/4 = -1/20 x -1/2
E: -3/4 + 1/20 x= -1/2
AWARDING BRAINIEST
Find the perimeter of the following shape, rounded to the nearest tenth:
a coordinate plane with quadrilateral ABCD at A negative 2 comma 0, B 0 comma negative 2, C negative 3 comma negative 5, D negative 5 comma negative 3
A) 10
B) 11.3
C) 12
D) 14.1
What is the equation of a trend line that passes through the points (7,450) and (14,401).
Answer:
y = -7x + 499
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope Formula: [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Step 1: Find slope m
m = (401 - 450)/(14 - 7)
m = -49/7
m = -7
y = -7x + b
Step 2: Find b
450 = -7(7) + b
450 = -49 + b
499 = b
Step 3: Rewrite equation
y = -7x + 499
Which set of side lengths forms a right triangle?
Answer:
15, 36, 39
Step-by-step explanation:
Use the Pythagorean theorem.
a² + b² = c²
2² + 3² ≠ 13²
4² + 6² ≠ 10²
9² + 12² ≠ 18²
15² + 36² = 39²
Answer:
15 , 36 , 39Step-by-step explanation:
[tex]Lets -test-using ;\\Pythagoras -Theorem=\\a^2+b^2=c^2\\\\(A.) 2,3,13\\2^2 +3^2 = 13^2\\13 = 169\\WRONG\\\\(B.) =4,6,10\\4^2+ 6^2 =10^2\\16+ 36 = 100\\52 = 100\\WRONG\\(C.) 9,12,18\\9^2+12^2=18^2\\225 = 324\\WRONG\\\\(D.) 15 , 36 ,39\\15^2 +36^2 = 39^2\\1521=1521\\\\CORRECT[/tex]
Help pleaaaseee and thanks
Answer:
Its B!..not much help lol but hope u get it right.
A line has a slope 2/3 and a y- intercept -2 witch answer is the equation of the line
Answer:
y = 2/3x - 2
Step-by-step explanation:
I'm pretty sure this is asking about the slope intercept form, since you didn't give us the actual answers. If not, comment below. Slope intercept form follows the y = mx + b form, where m is the slope and b is the y-intercept. By plugging your givens in, you get y = 2/3x - 2
please help, having a hard time
Answer:
The balcony seat costs $9, the orchestra seat costs $9 + $6 = $15.
Step-by-step explanation:
Let x is the cost/price of one balcony seat, in dollars.
Then the cost of one orchestra seat is (x+6) dollars, according to the condtion.
The total cost of tickets is
250x + 400*(x+6) = 8250.
Simplify it step by step.
250x + 400x + 2400 = 8250,
650x = 8250 - 2400 = 5850 ====> x = 5850/650 = 9.
Answer. The balcony seat costs $9, the orchestra seat costs $9 + $6 = $15.
Check. 9*250 + 15*400 = 8250. Correct.
Answer:
C
Step-by-step explanation:
Let x = price of one balcony seat and y = price of one orchestra seat
Price of orchestra seat = Price of balcony seat + 6
Or y = x + 6
[tex]400 \times price \: of \: orchestra \: seat \: + \: 250 \times price \: of \: balcony \: seat \: = 8250[/tex]
Or 400y + 250x = 8250
Now that we have to two equations with two variables, we can use either substitution, elimination or graphing to find the prices of the seats.
I attached a picture of the graph. Remember since we set y as the price of the orchestra seat, the y coordinate in the point of intersection will be the price for one orchestra seat. This will be the same for the price of a balcony seat and the x coordinate.
Therefore, the price of one balcony seat is $9 and the price of one orchestra seat is $15.
Check all of the infinite geometric series that diverge.
27 + 9 + 3 + 1 + . . .
2.2 + 0.22 + 0.022 + . . .
ANSWER B&D
Answer: b and d
Step-by-step explanation:
On edge
good morning :)
I want to exchange $500 to yen. How many yen will I receive if the rate of a Japanese yen to the U.S. dollar is 116.22 to 1?
A. 58,115 yen
B. 58,110 yen
C. 5,811 yen
D. 4.3 yen
Answer: B ¥58,110
Step-by-step explanation:
$1 = ¥116.22
$500 = ?
= 500 x 116.22
= 58,110
Answer:
B
Step-by-step explanation:
please help me
thx.......
Answer:
a) (-2,-1) b) (-3,0) & (-1,0)
Step-by-step explanation:
For the first part, the turning point is simply where the graph curves. We can see that that happens on (-2, -1).
For the second part, the roots of the equation are simply when the graph crosses the x-axis. This happens twice, at (-3,0) and (-1,0)
Answer:
see explanation
Step-by-step explanation:
(a)
The turning point is where the curve reaches its lowest point before increasing again.
The coordinates of the turning point are (- 2, - 1 )
(b)
The roots are the points on the x- axis where the graph crosses.
The coordinates of the roots are (- 3, 0 ) and (- 1, 0 )
Select the correct answer from each drop-down menu.
ABCD is a parallelogram
M
M
M
Answer:
x=63
z=72, y=45
Step-by-step explanation:
Angles "z+y" and "x" add up to 180°, so they are supplementary angles.
angle B=72+b+63=180⇒b=180-135=45
angle B=72+45=117
angle A+angle B=180
x+117=180
x=180-117=63
angle D+angle A=180
z=72, y=45 alternate angles (opposite angle of parallelogram are congruent)
x+z=117 = angle B