Answer:
The original price of the coat is $ 73.5Step-by-step explanation:Let x be the original price( in dollars ) of the coat.
Step-by-step explanation:
The sum of the first 10 terms of a linear sequence is 5 and the sumof the next 10 terms is 215. Find the sequence.
Answer:
The first term of the sequence is -8.95 with a common difference of 2.1.
The sequence is:
-8.95, -6.85, -4.75, -2.65...
Step-by-step explanation:
We are given that the sum of the first ten terms of a linear sequence is 5, and the sum of the next ten terms is 215.
And we want to find the sequence.
Recall that the sum of an A.P. is given by:
S = k / 2 ( a + xk)
Where a is the first term, k is the number of terms, and x_k is the last term.
We can represent our term values with the direct formula:
Xn = a + d (n-1)
Where the first term, x₁ = a.
The sum of the first ten terms is 5. Hence, S = 5, k = 10, a = x₁ and x_k = x₁₀:
(5) = 10/2 (a+xk)
5 = 5(a+(a+9d))
2a + 9d = 1
The sum of the next ten terms (that is, from x₁₁ to x₂₀) is 215. Hence, S = 215 when k = 10, a = x₁₁, and x_k = x₂₀:
(215) = (10)/2 (a + xk)
215 = 5((a+d(11-1))+(a+d(20-1)))
2a + 29d = 43
This yields a system of equations:
[tex]\left \{ {{2a+9d=1} \atop {2a+29d=43}} \right.[/tex]
Solve:
(2a + 9d) + (-2a - 29d) = (1) + (-43)
-20d = -42
d = 2.1
Consequently:
a = 1/2(1-9d)
= 1/2(1-9(2.1))
= -8.95
In conclusion, the first term of the sequence is -8.95 with a common difference of 2.1.
The sequence is:
-8.95, -6.85, -4.75, -2.65...
PLZ HELP 100 POINTS AND DUE TODAY I WILL BE SO GRATEFUL!!
Answer:
A) 15(20x14) = 4,200
Step-by-step explanation:
20 pounds each day per horse
so 2 weeks is 14 days
which means 20x14
then there are 15 horse
so 15(20x14)
4,200
Find the perimeter. Simplify your answer.
Answer:
Step-by-step explanation:
let :
a= 8u+1
b=8u+1
c=5
perimeter=a+b+c
perimeter=8u+1+8u+1+5
perimeter=16u+7 units
Answer:
16u+7
Step-by-step explanation:
isosceles triangle has two sides equal. 2(one of the sides)+the base(5)
Answer these question
c = 1 > 7 =
According to very reliable sources.
GEOMETRY PROOFS!
Given: AB ≅ DB; AC ≅ DC
Prove: ABC ≅ DBC
refer to attachments
WILL GIVE BRAINLIEST! PLS HELP!
Given that
In ∆ ABD , AB = BD------(1)
=> Angle B = Angle D
Since the angles opposite to equal sides are equal.
=> Angle A = Angle D
and
BC bisects Angle B
=> Angle BCA = Angle CDB ----(2)
And
BC = BC (Reflexive Property) -----(3)
From Eqⁿ(1),(2)&(3) we have
BA = BD
< ABC = BCD
BC = BC ( Common Side)
Therefore, ∆ ABC =~ ∆ DBC
by SAS property
Hence, proved.
Additional comment:
The angles opposite to equal sides are equal.In two triangles , the two sides and the included angle of the first triangle are equal to the corresponding two sides and the included angle in the second triangle then they are congruent and this property is called Side-Angle-Side (SAS) Property.CPCT - Corresponding parts in the Congruent triangles are equal.Angle bisector divides the angle into two equal parts.The sum of two adajacent angles is 180° they are called Linear Pair.also read similar questions:Given: AD perpendicullar DB, DB perpendicullar BC, AB = CD Prove: AB||DC..
https://brainly.com/question/20369276?referrer
given: AB ≈ DC ; AC ≈ DB PROVE: ABC ≈ DCB THE DIAGRAM SHOWS A 2 COLUM PROOF. ORDER THE REASONS SHOWN IN THE LIST TO MATCH THE STATEMENTS ......
https://brainly.com/question/22172471?referrer
According to the law of demand, when the price of a good or service increases the quantity demanded
A stops
B. increases
C. decreases
D. is unchanged
Answer:
its C
Step-by-step explanation:
b is wrong
WATER The workers at the plant drink 38 gallons of water per day. Write an equation to find the number of gallons g the workers drink in any number of days d?
How do you graph an equation using x and y intercepts.
Answer:
I'm going to use the following as an example.
[tex]2x + 4y = 8[/tex]
To find the y-intercept, set x equal to 0 then solve for y.
[tex]2(0) + 4y = 8[/tex]
two times zero is zero, so we have the following equation.
[tex]4y = 8[/tex]
Solve for y
[tex] \frac{4y}{4} = \frac{8}{4} \\ y = 2[/tex]
Your first point you will graph is (0, 2).
Now solve for the x intercept. To do this, set y = 0.
[tex]2x + 4(0) = 8[/tex]
4(0) = 0, so you can remove it, and solve for x.
[tex]2x = 8[/tex]
[tex] \frac{2x}{2} = \frac{8}{2} \\ x = 4[/tex]
Now the next point you have is (4, 0). plot that point. Connect the two points with a line and you are done.
5. How is each centimeter on a ruler further divided?
tenths
fourths
sixteenths
O eighths.
4) Mason paid $54 for 9 lbs. of steak, and
Isabella paid $72 for 6 lbs. Which person
paid a greater ratio of dollars/lbs. of steak?
Answer:
Isabella paid more.
Step-by-step explanation:
$72/6 = $12.67
She paid twelve dollars for 1 lb of steak while Mason paid 6 dollars for 1 lb.
Answer:
Isabella has a greater ratio of dollars/lbs
Step-by-step explanation:
Mason paid $6/1 lb
Isabella paid $12/1 lb
Hope this helps!
Type the missing digit down below
63,927,_76 is divisible by 8.
Answer:
4
Step-by-step explanation:
Answer:
63,927,476 is divisible by 8.
Resolver para y. 3xy=12*
Answer: 4y-1
Step-by-step explanation:
Simplifying 3xy = 12 Solving 3xy = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '3y'. x = 4y-1 Simplifying x = 4y-1
Hope this helps
HELP PLEASE ASAP WILL GIVE BRAINLIEST
Farmer Hopt started with some alabers on her farm. She had 90 alabers after 5 months. After 16 months, she had 167 alabers. Assume a constant rate of change.
Write an equation in slope-intercept form for total alabers, y, after x months.
Answer:
[tex]y= 11x+35[/tex]
Step-by-step explanation:
Let's find the slope first. It took hopt 11 months (from 5 to 16) to grow 77 trees. It means that each month he grew [tex]\frac{77}{11} = 7[/tex] trees.
At this point you can use the point-slope form and re-write the equation or, let's think about it. It's a direct proportion. If at month 5 she has 90 trees, one month earlier she had 11 less. two month earlier, 22 less. 5 month earlier, or at x = 0 (ie, our intercept!) she had 55 less trees, or 90-55 = 35 trees
The equation is then [tex]y= 11x+35[/tex]
5. Look at the shaded products. What pattern do you see?
Answer:
8+6+4
Step-by-step explanation:
if x/2=6.5 what is x
Answer: 13
Step-by-step explanation: 6.5 x 2=13
Answer:
x=13
Step-by-step explanation:
13/2=6.5
Which expressions are equivalent to
-1/3(12-9+6x)
Answer:
-2x-1
Step-by-step explanation:
first you simplify what is inside the parenthesis to get: -1/3(6x+3)
then, you distribute the -1/3 to each of the numbers inside the parenthesis to get: -2x-1
the ratio 18:24 in its simplest form is?
Answer:
3:4
Step-by-step explanation:
18 = 2 * 3 * 3
24 = 2 * 2 * 2 * 3
HCF = 2 * 3 = 6
Divide by 6
18: 24 = 18÷6 : 24÷6
= 3 : 4
Answer:
it's 3:4
Step-by-step explanation:
18 ÷ 6 : 24 ÷ 6
3 : 24 ÷ 6
=3:4
Plant A Plant B WeeksHeight (inches) WeeksHeight (inches) 06 04 28 27 Part A To graph the two linear relationships, you need to know which variable is the independent variable, x, and which is the dependent variable, y. Of the two variables, weeks and height, which is the independent variable and which is the dependent? Explain your answer.
Answer:
Weeks is the independent variable and height is the dependent variable.
Step-by-step explanation:
The height of the plant depends on the weeks the plant has been growing. So the height is the dependent variable. Because the number of weeks doesn't depend on anything, the number of weeks is an independent variable.
2. Charges imposed on citizens by local, state, and federal governments are called?
A.)debts
B.)income
C.) taxes
D.)tips
Answer:
Compulsory charges imposed on citizens by local, state, and the federal government. Employers withholding allowance certificate provides the percentage of gross to be withheld for taxes. It is a law for employers to withhold taxes from wages.
Can someone please help!!
Answer:
d
Step-by-step explanation:
40 is the exact amount from a,b,back to c
URGENTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT
Answer:
I don't think soo that it make a function
As water evaporates from a bucket, its weight changes at a rate of -11/4 ounces per day.
what's the answer?
Answer:
the five differences are 24.88
Evaluate the equation. d - 4.12 = 12.8
A) d = 8.58
B) d = 8.68
C) d = 16.92
D) d = 17.02
Answer: i think its D
Step-by-step explanation:
How to do the 9 multiplication trick.
Answer:
0123456789
9876543210
Step-by-step explanation:
09
18
27
36
45
54
63
72
81
90
Answer:
Step-by-step explanation:
for each 9 you add, take away 1 from the first number and add 10, like
81
72
63
52
41
32
23
18
9
Help. What is 90% decreased by 10% :/
Is it 81?
Mai skated x miles, and Clare skated farther than that. Write an expression for the distance Clare skated. Write an equation to represent the relationship between the distance Mai skated (x) and the distance Clare skated (y).
Whats the answer?
Answer:
X over y or x/y since y is claire and she skated more
Step-by-step explanation:
Pls brainliest
help me please
−|a+b/2−c when a=123 , b=−1 , and c=−3
Enter your answer as a simplified fraction in the box.
Answer:
64
Step-by-step explanation:
123+(-1)/2-(-3)=
122/2=61
61+3=64
hi guys pls answer this we will pass the tomorrow
Answer:
1. 25/24
2. 7/6
3. 4/3
4. 6/8 or 3/4
5. 5/4
1. 1
2. 1/4
3. 2/10 or 1/5
4. 7/3
5. 13/6
What number president was john quincy adams.
Answer:
6
Step-by-step explanation:
john quincy adams was the 6th president
Enter an expression equivalent to (x^4 y^3 y)^2 in the form x^m y^n
Answer:
Step-by-step explanation: