Answer:
n= 98/3
Step-by-step explanation:
1. Complete distributive property *5(n-14)* and *2(n+14)*
5n-70=2n+28
2. Subtract 5n from both sides
-70=-3n+28
3. Subtract -70 from both sides
-98=-3n
4. Divide the variable from both sides *-3n*
-98/-3
5. Simplify
98/3
Final Answer:
98/3
On Gabriela's first birthday, her parents gave her a $50 savings account on every birthday after that her parents added to the account,
increasing the amount they deposited by $25 each year. Complete the recursive definition for the sequence that represents this situation by
finding the values for a, and d.
Initial amount , a = $50 .
Increase in price , d = $25 .
We need to find the recursive relation of the sequence .
If we notice it is an arithmetic progression with common difference $25 .
Which means that difference between any two consecutive term is 25 .
So , T(n) - T(n-1) = 25
T(n) = T(n-1) + 25 .
Hence , this is the required solution .
The midpoint of AB is M(1,1). If the coordinates of A are (-2,5), what are the coordinates of B?
Answer:
Step-by-step explanation:
(x - 2)/2 = 1
x - 2 = 2
x = 4
(y + 5)/2= 1
y + 5 = 2
y = -3
(4, -3) Coordinates of B
The coordinates of endpoint B is (4,-3).
What is the line segment?In geometry, a line segment is a part of a line that is bounded by two end points, and contains every point on the line that is between end points.
Now it is given that,
Mid point of line segment = M(1,1) i.e. (x,y)
coordinates of A = (-2,5) i.e. (x₁ ,y₁ )
So we have,
x = 1
y = 1
x₁ = -2
y₁ = 5
Let the coordinates of the end point be B(x₂,y₂)
Since,
x = (x₁+x₂)/2
⇒ x₂ = 2x - x₁
Put the values we get,
⇒ x₂ = 2*1 - (-2)
⇒ x₂ = 2 + 2
⇒ x₂ = 4
Similarly,
y = (y₁+y₂)/2
⇒ y₂ = 2y- y₁
Put the values we get,
⇒ y₂ = 2*1- 5
⇒ y₂ = 2 - 5
⇒ y₂ = -3
Hence, the coordinates of endpoint B is (4,-3)
To learn more about midpoint of line segment :
brainly.com/question/12774890
#SPJ2
Find the product of (3.7 × 104) and 2.
A. 7.4 x 10^3
B. 0.74 x 10^4
C. 7,4 x 10^4
D. 74 x 10^4
Answer:
A. The answer is 7.4x10^3
Answer:
A. The answer is 7.4x10^3
Step-by-step explanation:
median of 2.5, 2.3, 2.3, 1.8, 2.3, 1.5 please help its due today ;(
Answer:
I got 2.3
Step-by-step explanation:
line them up in order and count from the outside
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2.3}}}}}[/tex]
Step-by-step explanation:
[tex] \star{ \tt{ \: Given \: data}}[/tex] :
[tex] \sf{2.5 \: , \: 2.3 \: , \: 2.3 \: , \: 1.8 \: , \: 2.3 \: , \: 1.5}[/tex]
[tex] \star{ \sf{ \: Arranging \: the \: given \: data \: in \: ascending \: order}}[/tex] :
[tex] \sf{1.5 \: , \: 1.8 \: , \: 2.3 \: , \: 2.3 \: , \: 2.3 \: , \: 2.5}[/tex]
[tex] \star{ \sf{ \: n \: ( \: Total \: number \: of \: observation \: ) \: = \: 6}}[/tex]
Finding the position of median
[tex] \bold{ \boxed{ \sf{ \: Position \: of \: median = ( \frac{n + 1}{2} ) ^{th} item}}}[/tex]
[tex] \longmapsto{ \sf{position \: of \: median = ( \frac{6 + 1}{2} ) ^{th} item}}[/tex]
[tex] \longmapsto{ \sf{position \: of \: median \: = \: ( \frac{7}{2} ) ^{th} item}}[/tex]
[tex] \longmapsto {\sf{position \: of \: median = {3.5}^{th} item}}[/tex]
[tex] \sf{ {3.5}^{th} }[/tex] item is the average of 3rd and 4th items.
[tex] \sf{∴Median = \frac{ {3}^{rd} item + {4}^{th} item}{2} }[/tex]
[tex] \longmapsto{ \sf{median = \frac{2.3 + 2.3}{2}}} [/tex]
[tex] \longmapsto{ \sf{median = \frac{4.6}{2} }}[/tex]
[tex] \longmapsto{ \sf{median = 2.3}}[/tex]
∴ Median = 2.3
-------------------------------------------------------------
[tex] \star \: \underline{ \tt{Remember ! }}[/tex]
▪️If n is odd , the median is the value of the [tex] \sf{( \frac{n + 1}{2} ) ^{th} }[/tex] observation.
▪️If n is even, the median is the average of [tex] \sf{( \frac{n}{2} ) ^{th}} [/tex] and [tex] \sf{( \frac{n}{2} + 1) ^{th} }[/tex] observation.
Hope I helped!
Best regards! :D
~TheAnimeGirl
Can you help please
Expand each expression and combine like terms if possible
2/3 (x+ 18 - 2x)
Answer:
This is the expression expanded
Step-by-step explanation:
0= -5/4(x - 6/5) find the solution to x
Answer:
x = 6/5
Step-by-step explanation:
Solve for x:
0 = (-5 (x - 6/5))/4
Hint: | Put the fractions in x - 6/5 over a common denominator.
Put each term in x - 6/5 over the common denominator 5: x - 6/5 = (5 x)/5 - 6/5:
0 = (-5)/4 (5 x)/5 - 6/5
Hint: | Combine (5 x)/5 - 6/5 into a single fraction.
(5 x)/5 - 6/5 = (5 x - 6)/5:
0 = (-5)/4 (5 x - 6)/5
Hint: | In (-5 (5 x - 6))/(5×4), divide -5 in the numerator by 5 in the denominator.
(-5)/5 = (5 (-1))/5 = -1:
0 = (-1 (5 x - 6))/4
Hint: | Reverse the equality in 0 = (-(5 x - 6))/4 in order to isolate x to the left hand side.
0 = (-(5 x - 6))/4 is equivalent to (-(5 x - 6))/4 = 0:
(-(5 x - 6))/4 = 0
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of (-(5 x - 6))/4 = 0 by -4:
(-4 (-(5 x - 6)))/4 = -4×0
Hint: | In (-4 (-(5 x - 6)))/4, divide -4 in the numerator by 4 in the denominator.
(-4)/4 = (4 (-1))/4 = -1:
--1 (5 x - 6) = -4×0
Hint: | Multiply all instances of -1 in -(-(5 x - 6)).
(-1)^2 = 1:
5 x - 6 = -4×0
Hint: | Any number times zero is zero.
0 (-4) = 0:
5 x - 6 = 0
Hint: | Isolate terms with x to the left hand side.
Add 6 to both sides:
5 x + (6 - 6) = 6
Hint: | Look for the difference of two identical terms.
6 - 6 = 0:
5 x = 6
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 5 x = 6 by 5:
(5 x)/5 = 6/5
Hint: | Any nonzero number divided by itself is one.
5/5 = 1:
Answer: x = 6/5
Brad drives 527 miles on 17 gallons. How many miles does Brad drive on one gallon? (5 points + Brainiest!)
a
31 miles per gallon
b
527 miles per 17 gallons
c
5.27 miles per gallon
d
1 over 31 miles per gallon
Answer:
d
Step-by-step explanation:
527 / 17 = 31
202·87–100·87–2·87=
Step-by-step explanation:
202·87–100·87–2·87
=99.13
Answer:
8700
Step-by-step explanation:
If you want it evaluated, this is the answer. 202 ·87-100·87-2·87= 17574-100·87-2·87=17574-8700-2·87=17574-8700-174= 8700
4). A rectangle is twice as long as its width. One way to write an expression to find the perimeter
would be w+w+2w + 2w. Write the expression in two other ways.
Step-by-step explanation:
p= 2(L+w)
= 2(2x+y)
or
P=L+L+L+L
=2x+y+2x+y
what is 5.2 divided by 0.8
Answer:
Hey There!
5.2 divided by 0.8 IS 6.5!
Step-by-step explanation:
This means that 0.8 goes into the number exactly 6.5 times...
I HOPE THIS HELPS!!
What is the image of (-7, -9) after a reflection over the x-axis?
Answer:
(-7,9)
Step-by-step explanation:
When you flip over the x-axis, the y-value changes its sign. Vice versa.
[tex]\huge\boxed{\boxed{\bold{(-7, 9)}}}[/tex]
[tex]\hrulefill[/tex]
To reflect a point across the [tex]x[/tex]-axis, multiply or divide its [tex]y[/tex] coordinate by [tex]-1[/tex]:
[tex]P'=(-7, -9*-1)[/tex]
Multiply:
[tex]P'=\large\boxed{(-7, 9)}[/tex]
An image is attached showing the original point ([tex]P[/tex]) and its image ([tex]P'[/tex]).
multiply a+b, 7a^2b^2
Answer:
7a²b²(a + b)
Step-by-step explanation:
(a+b) (7a²2b²)
apply the exponential rule:
= 7(a + b) (ab)²
= 7a²b²(a + b)
Ben buys bottles of sports drinks from the store for $2 each and takes them to his school's football games. He sells
them to the crowd for $5 each.
How many bottles
does he need to sell to make a profit of $75?
Answer:
15
Step-by-step explanation
We divide the amount he's selling them for, by the amount of money he needs to make.
75 divided by 5 equals 15.
He needs to sell 15 sports drinks to make $75.
Answer:
25
Step-by-step explanation:
75:(5-2)=25
and to check it
2×25=50
25×5=125
profit = 125-50
profit=75
answer is 25
What is the sum of the arithmetic sequence 3, 9, 15 …, if there are 34 terms?
Lets subtract 3 from each term we get 0,6...
Now we have muplitles of 6
6*0
6*1
Now we can find last number whcich is 6*33=198
now use formula to find sum
How do you solve a problem involving squeeze theorem?
Answer:
Step-by-step explanation:
if two functions are squeezed together at a particular point , then any function trapped between them will get squeezed to that point. the squeeze theorem deals with limit value , rather than function value. the squeeze theorem sometimes called Pinch Theorem.
The sides of a triangle are (x + 3) cm, (2x - 1) cm, and (3x + 4) cm. What is the perimeter of the triangle? *
Answer:
Step-by-step explanation:
Perimeter is all sides added together...
X+3+2x-1+3x+4
Combine like terms
X+2x+3x.. 6x
3-1+4.. 2+4.. 6
Answer:
6x+6
In a triangle the longest side is 3 inches longer than twice the shortest side. The third side is 2 inches less than twice the shortest side. If the perimeter of the triangle is 61 inches, which equation should be used to find the length of the shortest side, s?
Answer:
your face
Step-by-step explanation:
:)
Let's let A, B, C represent the sides of the triangle from shortest to longest, then:
A = ?
B = A + 2
C = A + 3
To find the perimeter we add all the sides p = A + B + C, and based on the problem
p = A + B + C
26 = A + (A + 2) + (A+3)
26 = 3A + 5
21 = 3A
7 = A
Now we can use the fact that A = 7 in, which is the shortest side, to find all three sides:
A = 7
B = 7 + 2 = 9
C = 7 + 3 = 10
The lengths of the sides are 7 in, 9 in, and 10 in.
May I get brainliest please? :)
PLEASE HELP ASAP!!!!!!!!!!!!!!!!
Answer:
ok hold on lemme go get something then ill edit my answer
Step-by-step explanation:
Ann's Paycheck showed a regular weekly salary of $835.50 a deduction of 13.29 a bonus of 34.35 and 28.95 for overtime. what is ANN's final pay?
Answer:
$885.01
Step-by-step explanation:
Answer:
$885.51
Step-by-step explanation:
$835.50-$13.29= $822.21
-The first step is to subtract the deduction. Deduction always means subtract.
$822.21+$34.35= $856.56
-Once you get the new total by subtracting the deduction, you have to add the bonus. Bonus always means add.
$856.56+$28.95= $885.51
-Finally, when you work overtime at a job, your employer is required by law to pay you extra. Add the overtime and get the final total of $885.51.
Tom has a cube a rectangular prism. Triangular prism Which of his shapes have more than six vehicles
How could you write the numerical expression “4x + 1.25” in words?
y varies directly with x, and y=24 when x=-15. what is x when y=16? a) 10 b) -22.5 c) -10 d) -25.6
Answer:
c
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 24 when x = - 15, then
24 = - 15k ( divide both sides by - 15 )
k = [tex]\frac{24}{-15}[/tex] = - [tex]\frac{8}{5}[/tex] = - 1.6 , thus
y = - 1.6x ← equation of variation
When y = 16, then
16 = - 1.6x ( divide both sides by - 1.6 )
x = - 10 → c
Which inequality represented the situation: clint has to spend a minimum of $75 in order to use his coupon at the store
Answer:
i think its c
Step-by-step explanation:
I think thats its C because 75 is the lowest it can go.
All functions are relations. True False
Determine the domain of the relation.
{(3.0), (2,8), (17,10)}
Answer:
work is pictured and shown
4(x-6)=-4 I'll give you brainly
Answer: X = 5
Step-by-step explanation:
solve by multiplying the inside ( )
4x -24 = -4
add 24 to both sides
4x = 20
divide by 4
x = 5
WILL GIVE BRAINLYIEST Which item, A or B has a higher overall net force? Show your work and include units.
Answer:
a does because 5-3= 2 net force to the right and b would total out to 1 to the right
Step-by-step explanation:
Which of these numbers rounds to 7.6? 7.546 7.630 7.670 7.720
Answer:
Step-by-step explanation:
only 7.630 round to 7.6
Quadrilateral KLMN is similar to quadrilateral WXYZ. K Y Z W N M Complete the statements below. 1. Angle NKL is congruent to angle
Angel nkl is congruent to what angle
Answer:
Angle NKL is congruent to angle XYZ.
Step-by-step explanation:
I took the test and it was right
Hope this helped
Graph the solution on the number line 3x + 3) - 244 or 1-**-1
I need answer