Answer:
135
Step-by-step explanation:
The value of a car dropped from $23,600 to $21,900 over the last year. Determine the actual and relative change in this situation.
Actual Change: ? This car's value decreased by $
last year.
Round your answer to the nearest dollar.
Relative Change: ? This car's value decreased by
% last year.
Round your answer to the nearest tenth of a percent.
Answer:
The actual change in the car's value is $[tex]1700[/tex] and the relative change is [tex]7.20[/tex]%.
Step-by-step explanation:
It is given that the value of a car is dropped from $[tex]23600[/tex] to $[tex]21900[/tex].
So, the change in the value is the drop in the value of car, which is, [tex]23600-21900=1700[/tex].
So, the actual change in this car's value is $[tex]1700[/tex].
The relative change can be given by the expression,
[tex]\dfrac{\:\rm{Actual Change}}{\:\rm{Original Value}}\times100[/tex]
Substituting values, the relative change can be given by,
[tex]\begin{aligned}\dfrac{1700}{23600} \times 100&=\dfrac{1700}{236}\\&=7.20\end{aligned}[/tex]
I will give extra points
Add The follwing pqr+3pqr
Answer:
4pqr
Step-by-step explanation:
because pqr is 1pqr
so 1pqr + 3pqr is
4pqr
The equation x+9/7 =15 can be solved by performing two operations on both sides. State the operations in order of use. There may be more than one correct answer.
A. Multiply both sides by 7 first, then subtract 9 from both sides
B. Subtract 9 from both sides first, then multiply both sides by 7
C. Divide both sides by 7 first, then subtract 9 from both sides
D. Subtract 9 from both sides first, then divide both sides by 7
E. Multiply both sides by 7 first, then divide both sides by 9
F. None of the above
(b) Give the solution of the equation x+9/7 =15.
X= ?
Fred and Jimmy are brothers. Jimmys age is 5 more than twice the age of Fred. if the total of their ages is 23 years, how old is each one of them?
Answer:
Fred is 6
Jimmy is 17
Step-by-step explanation:
Jimmy's age =2x +5
Fred's age =x
x+2x+5=23
3x=23-5
3x=18
x=6
Jimmy's age =2(6)+5=17
Fred is 6
The hundreds digit of my number is less
than the tens digit. The ones digit is greater than
the tens digit. What could my number be?
Answer:
Step-by-step explanation:
6 7 8 is one possibility
789 is another choice.
123 even works.
So how many numbers are there like this?
You can't have 0 in the 100s place and you can't have 8 0r 9
So there are 7 numbers 1 2 3 4 5 6 7 possible choices for the hundreds.
You can't 0 in the tens place nor 1 nor 9
You can't have 0 or 1 or 2 in the units place
In all I think you could write 84 such numbers.
i need help with this pls
Evaluate the expression when a=5 and b=4.
8a+b
Answer:
44
Step-by-step explanation:
Put in the terms.
8(5)+4
Multiply 8x5
40+4
Add
44
Answer:
44. if a = 5 and b = 4 then 8a = 8(5). 8(5) = 40. 40 + (4) = 44. hope this helps
Step-by-step explanation:
- Zombie
Tim had a balance of -5 in his bank account. After making a deposit. he has $40 in his account. What is the overall change in his account?
Answer:
$45 added
Step-by-step explanation:
-5 + x = $40
40 - (-50) = $45
Answer:the answer is $35
Step-by-step -5-$40=$35
6 more than 2 times a number m
A.2m-6
B.6(2m)
C.8+m
D.6+2m
Answer:
D. 6+2m
Step-by-step explanation:
times means multiplication.
more than means addition.
6 + 2 * m
6 + 2m
Best of Luck!
At 4 p.m., the temperature started to change drastically. Each hour, for three hours, the temperature decreased by 7°F. Which word in the problem indicates that a negative integer should be used?
PLEASE HELP!!
i'm really confused on how to do this...
(this should be 50 points but sometimes the system doesn't put that in for some reason)
I have to solve this absolute value equation: |4x-3| = |x+5|
and I have to check if there is an extraneous solution and show my work. If you can please show all your steps and explain that would be so helpful!
9514 1404 393
Answer:
x = {-2/5, 2 2/3}
Step-by-step explanation:
There are several ways you can solve this. Maybe the simplest is to take advantage of the relation ...
[tex]\sqrt{x^2}=|x|[/tex]
Squaring the absolute value expression on both sides gives ...
(4x -3)^2 = (x +5)^2
15x^2 -34x -16 = 0 . . . . rewrite to standard form
(5x +2)(3x -8) = 0 . . . . . factor
x = -2/5, +8/3
__
Check
To determine if one of these solutions is extraneous, we can try them both in the original equation. We find they both satisfy the equation, so neither found solution is extraneous.
For x=-2/5, |4(-2/5)-3| = |-2/5 +5| ⇒ |-4 3/5| = |4 3/5| . . . . true
For x = 8/3, |4(8/3) -3| = |8/3 +5| ⇒ |(32 -9)/3| = |(8 +15)/3| . . . . true
_____
Additional comment
Often, we solve absolute value equations using piecewise functions:
|4x -3| = {4x -3, for x ≥ 3/4; -4x +3, for x < 3/4}
|x +5| = {x +5, for x ≥ -5; -x -5, for x < -5}
Now, we have three regions in which to look for solutions: (-∞, -5], [-5, 3/4], [3/4, ∞).
In the region (-∞, -5], the equation is ...
-4x +3 = -x -5 ⇒ x = 8/3 . . . . . no solution in the region
In the region [-5, 3/4], the equation is ...
-4x +3 = x +5 ⇒ x = -2/5 . . . . . a solution in the region
In the region [3/4, ∞), the equation is ...
4x +3 = x +5 ⇒ x = 8/3 . . . . . . a solution in the region
Note that this last equation is identical to the equation for the region (-∞, -5] with both sides multiplied by -1.
Effectively, we have found the two solutions to ±(4x -3) = (x +5). The trick is to figure whether either of those solutions lies in the region for which the respective equation is defined.
A Greek mathematician named Pythagoras is said to have discovered the following number pattern. Find the next three sums by using inductive reasoning. Look for the pattern don't just add
1st row:1=1
2nd row: 1+3=4
3rd row: 1+3+5=9
4th row: 1+3+5+7=16
5th row: 1+3+5+7+9=?
6th row: 1+3+5+7+9+11=?
7th row: 1+3+5+7+9+11+13=?
Can you solve this problem so that you can explain me as best as possible to understand the problem?
It is called Combined Operations with fractions and I know that some will get the name confused but I think it is the same
Answer:
Answer: 2
Step-by-step explanation:
[tex] \frac{2}{3} (4 \frac{1}{6} - \frac{7}{6} ) \\ [/tex]
express the mixed fraction into proper fraction:
[tex] { \boxed{4 \frac{1}{6} = \frac{(6 \times 4) + 1}{6} = \frac{25}{6} }}[/tex]
then solve simplify:
[tex] = \frac{2}{3} ( \frac{25}{6} - \frac{7}{6} ) \\ [/tex]
solve the bracket:
[tex] = \frac{2}{3} ( \frac{25 - 7}{6} ) \\ \\ = \frac{2}{3} ( 3)[/tex]
then simplify:
[tex] = \frac{2 \times 3}{3} \\ \\ = 2[/tex]
A telephone company offers service for a monthly fee of $35 in a charge of $.21 per minute of talking. If M represents the number of minutes a person talks in a month and C is the total monthly charge which of these is the correct relationship between M and C
Answer:
C = 35 + (0.21 × M)
Step-by-step explanation:
c = total Monthly charge
M = n of minutes.
How to multiply 8 with 0.9? Show your method. Link = report.
Answer:
you multiply 8 with 0.9 easy like that
2.932789 rounded to the nearest hundredth
20.
Marlene made aprons to sell in her online store.
She paid $164.58 for supplies.
She charged $9.35 for each apron she sold.
Marlene sold 32 aprons. What was Marlene's profit in dollars
Enter your
this also somebody help me optional math
Answer:
hope it helps.stay safe healthy and happy..Given that set C is the negative Integers greater than -10, which elements of set C are less than or equal to -5? (Enter your answers as a comma-
separated list.)
Answer:
{-9,-8,-7,-6,-5}
Step-by-step explanation:
Set C is negative Integers greater than -10
{-9, -8, -7, -6, -5, -4, -3, -2, -1}
Elements less than or equal to -5
{-9, -8, -7, -6, -5}
. Pencils are sold in packages of 10, and erasers are sold in packages of 6. What is the least number of pencils and erasers you can buy so that there is one pencil for each eraser with none left over?
Answer:
3 packs of pencils
5 packs of erasers
Step-by-step explanation:
To solve this problem, find the least common multiple. The least common multiple is the smallest number that both terms are a factor of. In this case, that number is 30. Both 10 and 6 are a factor of 30. So, the answer is the other factor needed to get 30 through multiplication. 10's other factor is 3 and 6's other factor is 5. Therefore, the answers are 3 and 5 respectively.
brainiest to whoever right
Step-by-step explanation:
Since the the two angles are complementary, then
[tex](3x + 2) + (5x - 14) = 90[/tex]
or
[tex]8x - 12 = 90 \Rightarrow 8x = 102[/tex]
[tex]x = 12.75[/tex]
so
[tex]\angle{YXZ} = 5(12.75) - 14 = 49.75°[/tex]
Please help me with this
Answer:
a) AB≅PQ, BC≅QR, CD≅RS, DE≅ST, EA≅TP
b) ∠A≅∠P, ∠B≅∠Q, ∠C≅∠R, ∠D≅∠S, ∠E≅∠T
c) rotated 45° CCW, reflected across a vertical line, translated
Step-by-step explanation:
The congruence relation can be written ...
ABCDE ≅ PQRST
a) Corresponding sides are ...
AB≅PQ, BC≅QR, CD≅RS, DE≅ST, EA≅TP
__
b) Corresponding angles are ...
∠A≅∠P, ∠B≅∠Q, ∠C≅∠R, ∠D≅∠S, ∠E≅∠T
__
c) ABCDE can be rotated 45° CCW, reflected across a vertical line, and translated to the position of PQRST.
Note: it looks like rotation about point D and reflection across the perpendicular bisector of DS would do the job without any additional translation.
f(x) = -4x + 10
g(x) = x2 + 7x+ 5
Composition of functions how to solve value of g [f(4)]
9514 1404 393
Answer:
g(f(4)) = -1
Step-by-step explanation:
Evaluate this the way you would any function. Start with the inner parentheses according to the order of operations. Substitute for the function variable and do the arithmetic.
g(f(4)) = g(-4·4 +10) = g(-6) = (-6)² +7(-6) +5 = 36 -42 +5
g(f(4)) = -1
PLEASE HURRY IM IN A RUSH!!!<3
Answer:
64 and 100 are the squares
Answer:
[tex]8^{2} = 8*8=64\\10^{2} = 10*10=100[/tex]
Step-by-step explanation:
Hope it helps,... Chow,...!
In a small mall, there are
4 shoe stores for every 10 clothing stores. If there
are 280 shoe stores. How many clothing stores
are there?
Answer:
700
Step-by-step explanation:
280÷4=70 or you could do 28÷4=7 then add the 0's afterword.
70•10= 700
this is common thing for students to mix up. in your own words, explain the difference between the statements find f(5) and find f(x) =5
Answer:
i got u
Step-by-step explanation:
Use the midpoint formula to find the midpoint of the segment whose endpoints are
(3,-2) and (-5, 8).
O (4, 5)
.0 (-1, )
O (1, -3)
0 (-1, 3)
Answer:
(-1;3)
(3 - 5)/2 = -1
(-2 + 8)/2 =3
Midpoint of segment (3, -2) and (-5, 8) is (-1, 3).
The midpoint formula allows us to find the point that lies exactly halfway between two given points on a line segment. For two points represented as (x₁, y₁) and (x₂, y₂), the midpoint ([tex]x_m[/tex], [tex]y_m[/tex]) is calculated using the formula:
[tex]x_m[/tex] = (x₁ + x₂) / 2
[tex]y_m[/tex] = (y₁ + y₂) / 2
Now, let's apply this formula to find the midpoint of the segment with endpoints (3, -2) and (-5, 8):
x₁ = 3, y₁ = -2
x₂ = -5, y₂ = 8
[tex]x_m[/tex] = (3 + (-5)) / 2 = (-2) / 2 = -1
[tex]y_m[/tex] = (-2 + 8) / 2 = 6 / 2 = 3
So, the midpoint of the segment is (-1, 3).
In this explanation, we used the midpoint formula, represented by the subscript "m," to find the midpoint ([tex]x_m[/tex], [tex]y_m[/tex]) of the segment with endpoints (x₁, y₁) and (x₂, y₂). By substituting the given coordinates into the formula, we computed the x-coordinate and y-coordinate separately. The midpoint gives the exact center of the segment, dividing it into two equal parts. In this case, the midpoint lies at (-1, 3), which is indeed the point that is equidistant from both (3, -2) and (-5, 8) on the line segment.
To know more about Midpoint here
https://brainly.com/question/29997456
#SPJ2
69. The O'Brien's had $400.0 in a special
checking account for installment payments.
After paying $40.00 a month for three months
and $20.00 a month for two months. How
much was left in the account?
Hello :D
$40.00 x 3 = $120.00
$20.00 x 2 = $40.00
$120.00 + $40.00 = $160.00
$400.00 - $160.00 = $240.00
There is $240.00 left in the account.
How do you write the difference of nine times a number and eight is 64 as an equation?
Step-by-step explanation:
9x-8=64
plss mark brainliestt