Step-by-step explanation:
I sent you the picture above oncluding the steps.
In the equation given, just put the value of x and you will find the value of y.
Write each phrase as an algebraic expression
1. Jenny is 5 times as old
2. Brandon spent 10 dollars more
Answer:
1. "5 times as" means multiply by 5.
Jenny = x * 5
2. "10 dollars more" means add 10
Brandon = x + 10
In a game show, players play multiple rounds to score points. Each round has 3 times as many points available as the previous round.
Round 0 1 2 3 n
Points 25 75 225 675
Which equation shows the number of points available, p, in round n of the game show?
Answer:
[tex]p = 25(3)^n[/tex]
Step-by-step explanation:
Given
Round 0 1 2 3
Points 25 75 225 675
Required
Determine the equation
Let n = rounds and p = points.
So, we have:
[tex](n_1,p_1) = (0,25)[/tex]
[tex](n_2,p_2) = (1,75)[/tex]
[tex](n_2,p_2) = (3,225)[/tex]
The above shows a geometric progression.
So, we solve using
[tex]p = ab^n[/tex]
In [tex](n_1,p_1) = (0,25)[/tex]
n = 0 and p = 25
Substitute these values in [tex]p = ab^n[/tex]
[tex]25 = ab^0[/tex]
[tex]25 = a*1[/tex]
[tex]25 = a[/tex]
[tex]a = 25[/tex]
In [tex](n_2,p_2) = (1,75)[/tex]
n = 1 and p = 75
Substitute these values in [tex]p = ab^n[/tex]
[tex]75 = ab^1[/tex]
[tex]75 = ab[/tex]
Substitute 25 for a
[tex]75 = 25*b[/tex]
Make b the subject
[tex]b = \frac{75}{25}[/tex]
[tex]b = 3[/tex]
So, we have:
[tex]a = 25[/tex] and [tex]b = 3[/tex]
The equation [tex]p = ab^n[/tex] becomes
[tex]p = 25(3)^n[/tex]
Equation representing the number of points 'P' in 'n' games will be [tex]P=25(3)^{n}[/tex].
Explicit formula of the Geometric sequence:a, ar, ar², ar³........arⁿ
There is a common ratio of 'r' in each successive term to the
previous term.
Therefore, it's a geometric sequence.
Explicit formula of a geometric sequence is given by,[tex]T_n=ar^{n-1}[/tex] (For n ≥ 1)
Here, [tex]a=[/tex] First term
[tex]r=[/tex] Common ratio
[tex]n=[/tex] nth term
Given in the table,
Common ratio (r) of any successive term to the previous term,[tex]r=\frac{75}{25}=3[/tex]
First term of the sequence 'a' = 25Explicit formula of the sequence will be,
[tex]P=25(3)^{n}[/tex] [For n ≥ 0]
Therefore, equation representing the number of points 'P' in 'n' games will be [tex]P=25(3)^{n}[/tex].
Learn more about the geometric sequence here,
https://brainly.com/question/11385300?referrer=searchResults
Please help answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!
Answer:
i think its 360.......
Step-by-step explanation:
i hope it helps
mark invested 125 he earned a simple interest of 3% per year on the initial investment if no money was added or removed from the investment what was the amount of interest mark received at the end of two years
Answer:
$7.50
Step-by-step explanation:
formula for simple interest:
I = prt
I = ($125)(0.03)(2)
I = $7.50
Answer:
You time 125 by 1.03 twice subtract 125 from that awnser to get the amount of money from interest 7.6125 is the awnser
Step-by-step explanation:
Which fraction divided by 3/6 is equal to -9/10? A-9/20. B9/20. C-3/2. D9/40
Answer: -9/20 is equal to -9/10 when divided by 3/6 (1/2)
Step-by-step explanation:
Begin by reducing the fraction you're dividing with. In this case 3/6 can be reduced to 1.2, also known as 0.5 Beginning with -9/20, as it is the first answer option, we can put the problem into the following equation: -9/20 * 2/1 = -9/10.It is always good to verify all of your answer options are not possible answers. However, in a question like this, the math evenly works out in most cases, eliminating any other possible answer options.
By submitting this answer and referring to the work and resources given I trust you're in accordance with the Brainly Honor Code and I take no responsibility for any laws or rules broken with you using this platform.
Please help...it due ASAP
Show workings please
Answer:
36.5 i believe.
Step-by-step explanation:
you divide 986 by 27 and it equals 36.5.
hope you get it right!
if this is wrong then you can report me i guess. ='(
What is the slope of the line that passes through the points (-4,5) and (0, -5)? Choose the BEST answer!
m = -10/4
m = -5/2
m= 0
m = 5/2
Answer:
m= -5/2
Step-by-step explanation:
formula for slope(m) : ΔY/ΔX (change in y coordinates - change in x coordinates)
change in y coordinates: 5-(-5) = 10
change in x coordinates: -4-(0) = -4
10/-4 = -5/2= -2.5
please help 20 points !!!! right answers please
Answer:
0.6 inch
Step-by-step explanation:
The volume of a sphere is calculated through the equation,
V = 4πr³/3
Which means that the radius is calculated by the equation,
(3V/4π)^(1/3) = r
Substituting,
Sphere A, (3x30/4π)^(1/3) = r = 1.927 in
Sphere B, (3x10/4π)^(1/3) = r = 1.336 in
When we subtract the radius, we get an answer of 0.59 inch. Therefore, the answer to this item is approximately 0.6 inch.
Need help pleaseeeee!!
Answer: z 1/2
Step-by-step
:) 100%
pls help how many terms r there?
Answer:
3
Step-by-step explanation:
TWVU is a trapezoid with midsgment FG find the value of x please help
Answer:
Find each measure.
1.
SOLUTION:
The trapezoid ABCD is an isosceles trapezoid. So,
each pair of base angles is congruent. Therefore,
ANSWER:
101
2. WT, if ZX = 20 and TY = 15
SOLUTION:
The trapezoid WXYZ is an isosceles trapezoid. So, the
diagonals are congruent. Therefore, WY = ZX.
WT + TY = ZX
WT + 15 = 20
WT = 5
ANSWER:
5
COORDINATE GEOMETRY Quadrilateral
ABCD has vertices A(–4, –1), B(–2, 3), C(3, 3),
and D(5, –1).
3. Verify that ABCD is a trapezoid.
SOLUTION:
First graph the points on a coordinate grid and draw
the trapezoid.
Use the slope formula to find the slope of the sides of
the trapezoid.
The slopes of exactly one pair of opposite sides are
equal. So, they are parallel. Therefore, the
quadrilateral ABCD is a trapezoid.
ANSWER:
ABCD is a trapezoid.
4. Determine whether ABCD is an isosceles trapezoid.
Explain.
SOLUTION:
Refer to the graph of the trapezoid.
Use the slope formula to find the slope of the sides of
the quadrilateral.
The slopes of exactly one pair of opposite sides are
equal. So, they are parallel. Therefore, the
quadrilateral ABCD is a trapezoid.
Use the Distance Formula to find the lengths of the
legs of the trapezoid.
The lengths of the legs are equal. Therefore, ABCD
is an isosceles trapezoid.
ANSWER:
isosceles;
5. GRIDDED REPSONSE In the figure, is the
midsegment of trapezoid TWRV. Determine the value
of x.
SOLUTION:
By the Trapezoid Midsegment Theorem, the
midsegment of a trapezoid is parallel to each base
and its measure is one half the sum of the lengths of
the bases.
are the bases and is the
midsegment. So,
Solve for x.
16 = 14.8 + x
1.2 = x
ANSWER:
1.2
CCSS SENSE-MAKING If ABCD is a kite, find
each measure.
6. AB
SOLUTION
Plz look at the photo for geometry
Answer: m<C = 45, m<M = 50, m< B = 85.
Step-by-step explanation:
Adjacent angles on a line sum to 180 degrees.
m<C + m<M + m<B = 180. 45 + (8x+10) + (12x+25) = 180. Combine like terms. 80+ 20x =180. Subtract 89 from both sides. 20x = 100. Divide both sides by 20. X = 5. Substitute x back into the angle measures. m<C = 45, m<M = 50, m< B = 85.
Select the correct answer.
Look at the graph below.
Which of the following statements are true, based on the graph?
A. The number of hours depends on the number of boxes manufactured.
B. The number of boxes manufactured depends on the number of hours.
C. The number of pens depends on the number of boxes manufactured.
D. The number of pens depend on the number of hours.
Answer:
B. The number of boxes manufactured depends on the number of hours.
Step-by-step explanation:
The graph shows that as more time passes, more boxes are being manufactured. Therefore, the number of boxes relies on the number of hours.
Hope this helps :)
what does 2(3x − 7) + 18 = 10 equal
Answer:
x = 1
Step-by-step explanation:
We have an expression and are asked to find x perhaps?
2(3x - 7) + 18 = 10
To solve this, we need to get x alone.
Distribute :
(2(3x) - 2(7)) + 18 = 10
6x - 14 + 18
Add like terms :
6x + 4 = 10
Subtract 4 from both sides :
6x = 6
Divide 6 from both sides :
x = 1
Answer:
First you do 2x3 and then 2x7 that would be 6x and 14 so add 18 to 14 and that woukd be 32 so Try 32+6x... I would thnk i'm correct Can I also get Branliest..?
A total of 150 tickets were sold for the annual concert. Student tickets were $4 and non-students $8. If the total revenue was $840, how many tickets of each type were sold ?
Answer:
x = 90
y = 60
Step-by-step explanation:
Let x = student
Let y = non-student
x + y = 150
4x + 8y = 840 <—— Use elimination/addition ethos for both equations
8 (x + y = 150)
-1 (4x + 8y = 840) <—— Let’s eliminate y
8x + 8y = 1200
+ -4x - 8y = -840
—————————————
4x = 360
x = 90
x + y = 150 <— substitute for x from above
90 + y = 150
- 90 = - 90 <— subtract from both sides
y = 60
show step by step......
Answer:
Step-by-step explanation:
Amount paid for first 100 watches = (65% of 80) *100
[tex]=\frac{65}{100}*80*100\\\\= 65*80\\= 5200[/tex]
Amount paid for next 50 watches = (55% of 80) * 50
[tex]= \frac{55}{100}*80*50\\\\= 55 * 8 * 5\\\\= 2200[/tex]
Remaining watches = 280 -(100+ 55)
= 280 - 155 = 125
Amount paid for 125 watches = (45% of 80) *125
[tex]= \frac{45}{100}*80*125\\\\= 45 * 20 * 5\\\\= 4500[/tex]
Amount received by the watch maker = 5200 + 2200 + 4500
= £ 11900
60% of ___ =39
I NEED AN ANSWER ASAP PLEASE HELP
Answer:
The answer is 65
Step-by-step explanation:
jack is making a triangle shaped deck,one side is 5ft and the other is 7ft. he is going to make the third length 14ft. is jack correct about his third length?
Answer:
no
Step-by-step explanation:
The discriminant of a quadratic equation is 0. Which statement is true?
a. there are two real solution
b. there are no real solution
c. there is one real solution
Answer:
A
Step-by-step explanation:
two real solutions! hope this helped!!
b = -4g + 52
Hi can u help me thanks
Answer:
54wy35syrdhtrd
Step-by-step explanation:
oy86t4s2r4ssuc78t87y8ma769798bowss668768
please help(: ( 8th grade lesson)
Step-by-step explanation:
Since angle 1 is on a straight line and we know that angle 4 is 160, and a straight line has a sum of 180 degrees, simply subtract 160 from 180 to get angle 1.
Angle one would be 180-160 = 20
Since the sum of angles in a triangle is 180 and we already know 2 of them, angle 1 is 20 and angle 3 is 30, just add them together and then subtract that from 180. 20 + 30 = 50, and 180 - 50 = 130.
So in conclusion:
Angle 1 is: 20
Angle 2 is: 130
In EFG, L is the centroid. If LJ=9 find EL.
Answer:
LG=LE=LF since it is the centroid. So I think it would also be 9.
Express and simplest radical form.
Answer:
4 square root 5 is the answer
root(20*4)
2 × root(5×4)
4×root(5)
The length of a rectangle is 1 foot less than 3 times the width. The area is 310 ft². Find the dimensions of the rectangle.
Ms. Myrie gave her class 20 minutes to read. Carrie read 5 1/2
pages in that time. At what rate, in pages per hour, did Carrie read?
Answer:
16.5
Step-by-step explanation:
60 minutes = 1 hour
20 minutes * 3 = 60.
That means, by multiplying by a factor of 3, we can see exactly what Carrier's pg/hr speed is.
5.5 * 3 = 16.5
Answer:3.63 pagers per hour
Step-by-step explanation:
5 1/2 is the same as 5.5
20/5.5=3.63
Need help on these please
Answer:
1)16(x+y) is not equal to 4x+12y, it is equal to 16x+16y
2)2x^2-y+5+3 is not equal
3)3x & 3y
4)15x+15
5)commutative
please help me on this will give you brainliest!!
Answer:
bc= 6
Step-by-step explanation:
since the triangles are similar, the sides are in a ratio
xz/ac = 20/4 (5:1)
yx/ba = 15/3 (5:1)
yz/bc = 5:1 = 30/6
if you spin the spinner 40 times, how many 4'
Answer:
10
Step-by-step explanation:
Answer:
Your prediction would be eight 4's
Step-by-step explanation: I just solved it!
How far is the portion of her route from H to A? Round to the nearest whole number. Explain. PLS HELP ME I NEED IT BY TONIGHT
Answer:
2089
Step-by-step explanation:
15
Evaluate
T
1 when T-5.
Answer:
T= 6
Step-by-step explanation:
T-5=1
find T
+5 to both sides
T= 6