Answer:
A-1/P=n
Step-by-step explanation:
step 1. look at the parentheses and use inverse operations on both sides
A=P(1+n)
-1 -1
step 2. divide both sides by P
A-1=P(n)
/P /P
n= A-1/P
The value of n on solving the equation A = P (1 + n) is A / P - 1.
What is equation?An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.
Given:
A = P (1 + n),
Here we can solve the parentheses by using the distributive property as shown below,
A = P × 1 + P × n
A = P + nP
Transform as shown below,
nP = A - P
n = (A - P) / P
n = A / P - 1
Thus, the value of n is A / P - 1.
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Drag and drop formal proof. Prove the Polygon Exterior Angle Sum Theorem for the enclosed triangle, that is ∠1+∠2+∠3=360°
.
Answer:
The sum of all the external angles of a triangle is 360°.
Step-by-step explanation:
Let there are n sides in a polygon.
So, there are n internal angles in the polygon, let ∠i1, ∠i2, ∠i3, ..., ∠in are the measure of n internal angles of the polygon.
The measure of external angle corresponding to ∠i1, ∠1= 180°-∠i1,
The measure of external angle corresponding to ∠i2, ∠2 = 180°-∠i2,
Similarly, the measure of external angle corresponding to ∠in, ∠n = 180°-∠in.
Now, the sum of all the external angles of the polygon,
(∠1+∠2+...+∠n)=(180°-∠i1)+(180°-∠i2)+...+(180°-∠in)
=(180°+180°+...n times)-(∠i1+∠i2+...+∠in)
=n x 180° - (∠i1+∠i2+...+∠in)
As ∠i1+∠i2+...+∠in is the sum of all the internal angles of the polygon.
So, the sum of all the external angles of the polygon =
(n x 180°) - (sum of all the internal angles of the polygon).
In the case of a triangle, n=3 and the sum of all the three internal angles, ∠i1+∠i2+∠i3 = 180°.
Therefore, the sum of all the external angles of a triangle,
∠1+∠2+∠3 =3x180°-(∠i1+∠i2+∠i3)
=540°=180°
=360°.
Hence, the sum of all the external angles of a triangle is 360°.
the solution of 3x+5=x+9 is ____
Answer:
x=2
Step-by-step explanation:
move x to the 3x side and move 5 to 9 side.
you get 2x=4
then you divide 2 from both sides and get 2
Answer:
x=2
Step-by-step explanation:
•Original Expression;
3x+5=x+9
•Group like terms;
3x-x=9-5
•Simplify
3x-x
=2x
Then
9-5
=4
Which is going to be;
2x=4
•Divide both sides by 2 to find x
4 can be divided by 2 two times so;
x=2
8y + 4y = 24 in function form some one please help 8th grade math
Answer:
y=2
Step-by-step explanation:
I think
it's been a while since I did functions
Answer:
the answer is y=2
Step-by-step explanation:
you add 8y+4y=12y
and then divide 12 on each side
which 24/12=2
1
222
2
599
3
209
Helpppopo
Answer:
∠1 = 36°
∠2 = 122°
∠3 = 122°
∠4 = 38°
Step-by-step explanation:
∠2 = 180°-58° (Supplementary angles add up to 180°)
= 122°
∠2 = ∠3 (Vertically opposite angles are equal)
= 122°
∠1 = 180°-122°-22° (Sum of angles in a triangle is 180°)
= 36°
∠4 = 180°-122°-20° (Sum of angles in a triangle is 180°)
= 38°
Which table shows a proportional relationship between x and y?
х
7
14
o
28
35
у
2
4
5
X
1
4
7
o
3 5
у
2
CO
14
х
2.5
الم
5
6
o
y
5
6
10
15
1
2
3
4
O
4
10
12
у
16
The first table shows a proportional relationship between x and y.
Proportional relationshipA proportional relationship exist between two entities if an increase in one causes an increase in another or vice versa.
First tablex y
7 28
14 35
Second tablex y
1 2
4 4
7 5
The first table shows a proportional relationship between x and y, for every value of x, y increases by almost 2 times.
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Evaluate the function for the given value of x.
A bus driver drives 147 miles on her route each day. She drove the bus 23 days last month. How many miles did the bus driver drive the bus last month?
A: 3,381
B: 3,161
C: 2,381
D: 2,161
Answer:
Step-by-step explanation:
147 x 23 = 3381
=>
Answer:
B: 3381
Step-by-step explanation:
147 X 23 = 3,381. if she drove 147 miles for 23 days that's 3381 miles in one month
which following equal to forty and two hundred seventy four thousandsths?
A. 40.274
B.40.074
C.40.274
D.40.0274
Answer:
The answer to this question is C. 40.274.
Find the equation of the linear relationship
answer is 10---- i think
Answer:
y = -2x + 170
Step-by-step explanation:
(30, 110) (40, 90) y = mx + b
x1 y1 x2 y2 90 = -2 (40) + b
90 - 110 = -20 = -2 90 = -80 + b
40 - 30 10 +80 +80
170 = b
really hope this helps :)
Is this correct??? Someone please help
Answer:
the line is inconsistent:)
Step-by-step explanation:
Three numbers are in the ratio 2:3:4. What are the numbers if their sum is 72?
Step-by-step explanation:
2N+3N+4N=9N
9N=72
N=72/9
N=8 ANS
hope it helps!
.......
Answer:
16:24:32
Step-by-step explanation:
2+3+4 = 9
72÷9 = 8
One part of the ratio is therefore worth 8.
8 x 2 = 16
8 x 3 = 24
8 x 4 = 32
16:24:32
What is 15/22 as a repeating decimal?
Answer:
0.6818
Step-by-step explanation:
Solve each equation. Check your solution.
3(n - 7) = -30
question is in png pls help me
Answer:
30 is the answer
Step-by-step explanation:
i hope it help you
Answer:
30 is the correct answer
hope it helps u dear ❤
The original Volkswagen Beetle follows
a quadratic curve, write an equation if
the height is 5 feet long and the length
is 14 feet long. Show your work in the
sketchpads below.
Answer:
[tex]y= -\frac{5}{49}x^{2}+5[/tex]
Step-by-step explanation:
In order to solve this, we need to start by drawing a sketch of what the problem looks like (see attached picture).
From the picture, we can see that the graph of the equation should be a parabola with a vertex located at the point (0,5) and x-intercepts located at (-7,0) and (7,0) respectively.
So, there are two ways in which we can build a quadratic equation:
Standard form:
[tex]y=ax^{2}+bx+c[/tex]
or
Vertex form:
[tex]y=a(x-h)^{2}+k[/tex]
Since we already have the vertex and two points on the equation, we can directly use the vertex form. Where vertex is located at the coordinates (h,k)
So in this case: h=0 and k=5, which simplifies our equation a lot:
[tex]y=a(x-0)^{2}+5[/tex]
[tex]y= ax^{2}+5[/tex]
So we only need to find the value of a for our equation to be complete. We can use either x-intercept to find this. Let's use the point (7,0) so we get:
[tex]0=a(7)^2+5[/tex]
and now we can solve for a:
[tex]-5=49a[/tex]
[tex]a=-\frac{5}{49}[/tex]
so this completes our equation:
[tex]y= -\frac{5}{49}x^{2}+5[/tex]
whose graph looks like the one in the attached picture.
Johnny filled a 5 gallon bucket with water. How many quarts of water does Johnny have?
Answer:
20 quarts
Step-by-step explanation:
Five gallons is equal to 20 quarts.
I hope it helps.
Answer:
20 quarts
Step-by-step explanation:
in 1 gallon there is 4 quarts so if theres 5 gallons there would be 4 quarts for each, so multiply 5 by 4, becuase you need 4 quarts in every gallon, the product (answer to a multiplication problem) to that is 20. :)
-9h - 15 = 93 Need help. Not that good at solving two step equations. Algebra's tricky. Please solve.
Answer:
h=12
Step-by-step explanation:
first you want to isolate the variable. since you are subtracting 15, you wanna add fifteen to the 93 and cancel it out on the other side of the equation symbol. that equals 108. how since you are doing 9*h you divide on the opposite side of the equation so 108/9=12. the 9 cancels out meaning h=12
6y=3y-18 What is thee slope intercept and what is the slope
Answer:
y = (1/2)x - 3
The slope is m = 1/2 and the y-intercept is (0, -3).
Step-by-step explanation:
Assuming that you meant 6y = 3x - 18, we solve this equation for y to obtain the slope-intercept formula y = mx + b for this particular case:
y = (3/6)x - (18/6), or
y = (1/2)x - 3
The slope is m = 1/2 and the y-intercept is (0, -3).
Help!! I need an answer asap!!
Given a∥b, find m∠1 = 71º.
Find: m∠5, m∠8
Answer:
m<5 = 71 and m<8 = 109
Step-by-step explanation:
m<1 is equivalent to m<5 and m<2 is equivalent to m<8.
Answer:
∠5 = 71°
∠8 = 109°
Step-by-step explanation:
∠1 = 71°
∠5 = 71° (the same as ∠1 = 71°) its a corresponding angle
∠8 = 180 - ∠5
∠8 = 180 - 71
∠8 = 109°
please answer fast! teehee
Answer:
y = 9
Step-by-step explanation:
∆KLH is congruent to ∆FLH by the Hypotenuse-Leg Congruence Theorem.
Therefore,
m<KHL = m<FHL
Thus:
6y = 4y + 18
6y - 4y = 18 (subtraction property of equality)
2y = 18
y = 18/2 (division property of equality)
y = 9
Answer: teeheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
Yo u soooo cool wannaaaaaa be be friends itsa song LOL..........
A drought effects 9 out of 12
Midwestern states. What percent
of midwestern states are affected
by
the drought?
Answer:
You just have to divide 9 by 12 to get your answer of 75%
Answer:
75 %
Step-by-step explanation:
Simplify. 3 x 25 4 X 25 100 Write the numerator with a percent symbol. So, 75% of the midwestern states are affected by the drought.
Rachel can walk 2.5 miles in 40 minutes at this rate how far can she walk in one hour
3.75 miles
Explination~first you would start by finding out how many miles she walks in 1 minute by dividing 2.5 by 402,5 ÷ 40 =
0.0625
Then you would times that by 60, because 60 minutes equals 1 hour0.0625 × 60 =
3.75
So, Rachel can walk 3.75 miles in 1 hour :))------------------------------------------------------------------------Hope I helped!!
The amount of gasoline at a gas station change from 58432.4 gallons to 56495.2 gallons from 2 o'clock p.m. to 4 o'clock p.m. what rational number represents the average change in amount of gasoline per hour
Answer:
thanks 4 the points
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
PLEASEEEEE IM DESPITE Xd-
Anyone
Will mark branliest
Answer:
B 8.42 seconds
Step-by-step explanation:
421 in 50 seconds
421//50
8.42 seconds
Hope this helps!
what is Evaluate 3 × 5 to the 2 power?
Answer:
225
Step-by-step explanation:
3x5 is 15, 15 to the 2nd power is 225
Which of the following represents the greatest percent of change?
A. Boots that were originally priced at $90 are on sale for $63
B. A baby that weighed 7 pounds at birth now weighs 10 pounds
C. A bracelet that costs $12 to make is sold for $28
D. A savings account increased from $500 to $600 in one year
Answer:
c
Step-by-step explanation:
a. 63(new) - 90(old) = -27 / 90 = 0.4285*100 = 42.9%
b. 10(new) - 7(old) = 3 / 7 = -0.3*100 = -30 = 30%
c. 28(new) - 12(old) = 14 / 12 = 1.166 * 100 = 116.6%
d. 600(new) - 500(old) = 100 / 500 = 0.2 = 20%
The greatest percentage change will be a bracelet that costs $12 to make and is sold for $28 as 133.33% thus option (C) is correct.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
% change = (change)/original x 100
A): (90 - 63)/90 x 100 = 30%
B): (10 - 7)/10 x 100 = 30%
C); (28 - 12)/12 x 100 = 133.33%
D):(600 - 500)/500 x 100 = 20%
Hence "The greatest percentage change will be a bracelet that costs $12 to make and is sold for $28 as 133.33%".
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|There is 1/2 of a liter of soda left after a class party. The 3 students on the clean-up crew are going
to split the soda equally. How many liters of soda does each student get?
Answer:
Each student will get 1/6 liters of soda.
Step-by-step explanation:
In order to do this, we need to divide 1/2 by 3.
All we had to do is multiply 2 by 3.
1/6 is smaller than 1/2, and because 6 is 2 x 3, it's 3 times smaller, or less.
Therefore, each student will get 1/6 liters of soda.
Hope this helps! :D
PLEASE HELP ME!!!!!! Write the information in the table as ordered pairs. Graph the relationship from the table.
Answer:
(3, 60) (5, 100) (8, 160) (9, 180) (12, 240)
Step-by-step explanation:
5⋅7⋅4=5⋅4⋅7
is that
associative property of multiplication or is it
commutative property of multiplication
Answer:
Commutative property of multiplication is shown above. This is because no matter how you put them, the answer will still be 140
HOPE THIS HELPS TOUCH THANK FOR ME PLEASE
Please help if u know
Answer:
(-3,0), (1,0),(-5,0)
Step-by-step explanation: