Answer:
Coordinate of 0 = [tex]\bigg( \dfrac{5a-b}{5},\:\dfrac{5a+b}{5}\bigg)[/tex]Step-by-step explanation:
Let AOB be the line segmentPoint 'O' divides the line segment into m:n = 3:2Given:
Coordinate of a = (a+b, a-b)Coordinate of b = (a-b, a+b)Ratio = 3:2ToFind:
Coordinate of 0 (zero)Solution:
ATQ,
[tex]\dfrac{m}{n}=\dfrac{3}{2}[/tex]Coordinate of a = (x[tex]_{1}[/tex], y[tex]_{1}[/tex])Coordinate of b = (x[tex]_{2}[/tex], y[tex]_{2}[/tex])As we know that,
[tex]\implies\:\:x = \dfrac{mx_{2} + nx_{1}}{m + n}[/tex]
[tex]\implies\:\:x = \dfrac{(a-b)3 + (a+b)2}{3+2}[/tex]
[tex]\implies\:\:x = \dfrac{3a - 3b + 2a + 2b}{5}[/tex]
[tex]\implies\:\:\red{x = \dfrac{5a - b}{5}}[/tex]
Similarly,
[tex]\implies\:\:y = \dfrac{my_{2}+ny_{1}}{m+n}[/tex]
[tex]\implies\:\:y = \dfrac{(a+b)3+(a-b)2}{3+2}[/tex]
[tex]\implies\:\:y = \dfrac{3a+3b+2a-2b}{5}[/tex]
[tex]\implies\:\:\red{y = \dfrac{5a+b}{5}}[/tex]
Hence,
Coordinate of 0 is [tex]\blue{\bigg( \dfrac{5a-b}{5},\:\dfrac{5a+b}{5}\bigg)}[/tex]
A store is having a 20%-off sale on all pairs of shoes. Kurt wants to buy a pair of shoes that have a regular price of x dollars. The sales tax is 7%. Which expression represents the final price of the shoes?
Answer:
[tex]\$ \ \dfrac{428}{500}x[/tex]
Step-by-step explanation:
Regular price of a pair of shoes = $[tex]x[/tex]
Discount offered = 20%
Amount of discount offered = 20% of $[tex]x[/tex]
Discounted price = Regular price - Amount of discount
Discounted price = $[tex]x[/tex] - 20% of $[tex]x[/tex] = 80% of $[tex]x[/tex] = [tex]\$ \frac{4}{5}x[/tex]
Now, it is given that there is a sales tax of 7% as well on the price.
Sales tax is applied on the discounted price.
Therefore, sales tax = 7% of [tex]\$ \frac{4}{5}x[/tex]
Final Price after applying the sales tax = [tex]\$ \frac{4}{5}x[/tex] + 7% of [tex]\$ \frac{4}{5}x[/tex]
[tex]\Rightarrow 107\%\ of\ \$\ \ \dfrac{4}{5}x[/tex]
[tex]\Rightarrow \$ \ \dfrac{428}{500}x[/tex]
Therefore, the expression to represent the final price of the pair of shoes:
[tex]\$ \ \dfrac{428}{500}x[/tex]
Price of Rope
3 The amount a hardware store pays for buying nylon rope
is represented by the equation y = 0.12%, where y is the
price it pays for x feet of rope. The amount the hardware
store charges when selling the rope is represented by
the graph
The profit the store makes on the rope can be found by
subtracting the amount it charges for the rope from the
price it pays for the rope. If the store sells 80 feet of rope,
how much profit does it make on that rope?
Show your work.
y
A
1.80
1.60
1.40
ū1.20
8 1.00
0.80
0.60
0.40
0.20
0 1 2 3 4 5 6
Length (ft)
Answer:
The answer is 2.25 that makes profit
Step-by-step explanation:
ok how is every ones day ok what is 12345 times 23456=
Which equation best represents the relationship between x and y in the graph?
y
A. O y = 4x - 1
B.Oy = 12-1
C.
y = 4x + 1
DO g =
1x +1
u3uwi2i2i3ij3j3ui
Step-by-step explanation:
ii3jj3i3i3i3i3i3ii3u3ieu so
What is the answer to 8w+56?
Answer:
What is w equal to?
Step-by-step explanation:
Given:
Quadrilateral ABCD is similar to Quadrilateral GHIJ.
Find the value of x.
A. 4.5
B. 8
C. 9
D. 12
E. 18
Answer:
A. 4.5
Step-by-step explanation:
A shopkeeper buys 10 television sets from a retailer at a rate of Euro 15,000 per set. He sells half of them at a profit of 25 % and rest half at a loss of 20%. Find the overall profit/loss faced by the shopkeeper.
Answer: Profit of $3,750
Step-by-step explanation:
Sold half of the sets at a profit of 25%;
= (15,000 * 5 sets) * 25%
= $18,750
Sold the other half at a loss of 20%;
= (15,000 * 5) * 20%
= $15,000
Profit (loss) = 18,750 - 15,000
= $3,750
Drag and drop the numbers into the boxes to create an expression that is equivalent to the given expression
213 +35
Answer:
7 and 21
Step-by-step explanation:
If Eugene can buy three cantaloupes for $7. Then how many can you buy with $14
If anyone could help me please on number 4
help plzzzz ill give extra points
Answer:
12x
16x, 320
20
Step-by-step explanation:
Hope this helps
Total equation ,
[tex]\displaystyle\sf\to 4x+\boxed{\sf 12}x=\boxed{\sf 320}[/tex]
[tex]\displaystyle\sf\to \boxed{\sf 16}x=\boxed{\sf 320}[/tex]
[tex]\displaystyle\sf\to x =\boxed{\sf 20}[/tex]
I need help please thank you
Answer:
its b i think
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
They can't add 5 into it because they are not like terms if it was 5h instead then yes you could but it is just 5.
Help mee cuz if you help me I will give you brain last
Answer:
it is c
Step-by-step explanation:
tom swims at a rate of 50 meters in 40 seconds at this rate how many meters can he swim in 1 minute
Answer:
75
Step-by-step explanation:
-4/5 divided by 1/3
Answer:
-12/5 or -2.4
Step-by-step explanation:
(-4/5) / (1/3) =
(-4/5) x (3/1) =
-12/5
-12/5 = -2.4
Answer:
[tex]\frac{-(\frac{4}{5})}{\frac{1}{3}} = -(\frac{4}{5}) * (\frac{3}{1} )= -\frac{12}{5}[/tex]
Step-by-step explanation:
1. Dividing fractions means multiplying the reciprocal-- so turn the fraction upside down and multiply by the first.
which number line shows the solution of 5x - 25 greater than -15
Answer:
you need to add number lines, but if you want the equation to be written and solved, then...
Step-by-step explanation:
5x - 25 > -15
+25 +25
5x > 10
divide both sides by 5
x > 2
Hope this helps!!!
A shop is offering a 15% reduction on the price of a computer .The original price of the computer was $670.what is its reduced price?
Answer:
$569.50
Step-by-step explanation:
15% deduction from the initial price(100%) will have us remaining with 85%
100% = 670
85% = 85% x 670
100%
= $569.50
at Best Buy they have a stereo system at the cells of 22000 and is on sale for 15% and sales tax is 7%. what is the final cost
Answer:
4,840
Step-by-step explanation:
15% of 22000 is 3300 and 7% of 22000 is 1540 so add those together to get 4840.
Answer these PLEASE AND SHOW THE WORK YOU HAVE ONE HOUR PLEASE SAY MY GRADE
Expressed
as a
decimal, 3% is
A
0.03
B
0.3
3.0
D
30.0
Answer:
0.03
Step-by-step explanation:
3% as a fraction is 3/100. as a decimal it is 0.03. notice when you read the decimal aloud, it is three one-hundredths, which is also the same read aloud in a fraction.
Answer:
A
Step-by-step explanation:
3/100=0.03
:))) Helps?
Solve for b.
b=ah
b=a/h
b=ha
b=h/a
Group of answer choices
Answer:
b) b=a/h
Step-by-step explanation:
A=bh
Dividing both side by h,
or, b=A/h
OR,
A=bh
or, b=A/h
Answer:
b
Step-by-step explanation:
uhm
-7(2x-3) equivalent expression
Answer:
-14x+21
Step-by-step explanation:
-7(2x-3)
-14x+21
Answer:
-14x+21
Step-by-step explanation:
Members of a baseball team raised $1199.50 to go to a tournament. They rented a bus for $830.50 and budgeted $30.75 per player for meals. Determine the number of players the team can bring to the tournament.
Answer:
The team can bring 12 players to the tournament.
Step-by-step explanation:
With the information provided, you can say that cost of going to a tournament is equal to the cost of renting the bus plus the result of multiplying the cost per player for meals for the number of players, which is:
c=830.50+30.75x, where:
c is the cost of going to a tournament
x is the number of players
Now, you can replace c with $1199.50 that is the total amount they raised and solve for x:
1199.50=830.50+30.75x
1199.50-830.50=30.75x
369=30.75x
x=369/30.75
x=12
According to this, the answer is that the team can bring 12 players to the tournament.
52*6854454^((3)/(6))-:82673+476455555365555567-23627457546234*465566=?
Sawarasenai kimi wa shoujo na no?~
Boku Wa yaRcHin BiCChi nO oSu Da YO!~~
2. What is the y-intercept of this graph?
25 points
O A1
OB. 2
O c. 2
O 0.4
The price of a leather coat is $150.00 plus 8% sales tax. What is the sales tax on the leather coat?
Answer:
$12
Step-by-step explanation:
To find this, you just need to find 8 percent of 150. You can do this by multiplying 150 by .08, or multiplying 150 by 8/100.
The price of a ticket, in dollars, on the local commuter train can be determined from the expression 2.75 + 0.50(s), where s is the number of stops for which the passenger will be on the train. Use this expression to find the price of a ticket to ride the train for 13 stops.
Answer:
$9.25
Step-by-step explanation:
2.75+ .5(13)
.50 (13)= 6.5
6.5 +2.75= 9.25
HELP ASAP!!!!!!!
what does 97= -3 (6n - 5) - 8 equal?
Answer:
n = -5
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: 97-(-3*(6*n-5)-8)=0
97 - ((0 - 3 • (6n - 5)) - 8) = 0
Pull out like factors: 18n + 90 = 18 • (n + 5)
Solve : n+5 = 0
Subtract 5 from both sides of the equation: n = -5
Hope this helps! Please mark as brainlest.
Thanks!
Answer:
n=-5
Step-by-step explanation:
Distribute the -3 into the parenthesis to get.
97=-18n+15-8
Next combine like terms to get.
97=-18n+7
Next isolate the variable to get.
90=-18n
Now Isolate the variable term to get.
n=-5
Brainliest Plz.
the question is on the sheet.
area of the whole figure
[tex] = (x + 1)(2x + 3) \\ = x(2x + 3) + 1(2x + 3) \\ = 2 {x}^{2} + 3x + 2x + 3 \\ = {2x}^{2} + 5x + 3[/tex]
area of the unshaded region
[tex] = x(2x) \\ = {2x}^{2} [/tex]
area of the shaded region
[tex] = {2x}^{2} + 5x + 3 - {2x}^{2} \\ = ( {2x}^{2} - {2x}^{2} ) + 5x + 3 \\ = 5x + 3[/tex]
THEREFORE,
THE AREA OF THE FRAME IS C. 5x + 3
Which values from this set {−30, −20, −10, 0, 10, 20} satisfy this inequality?
−1/5x+3 ≤ 7
please solve asap im so confused
Answer:
Step-by-step explanation:
-1/5 x+3 ≤7
-1/5 x≤7-3
-1/5 x≤4
x≥-20
{-20,-10,0,10,20}
Pleeeeeaaaasee help
The difference of a number and 8 is 46 less the number. Find the number
Answer:
54
Step-by-step explanation:
what u gotta do is add 46 with 8 and you can check my answer with 54-46=8
difference means you subtract
sum means you add
product means you multiply
and quotiant means you divide
The required number is 27.
Given that,
To determine the number the difference of a number and 8 is 46 less than the number
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Let the number be x
The difference between a number and 8 is 46 less than the number
8 - x = x - 46
2x = 54
x = 27
Thus, the required number is 27.
Learn more about arithmetic here:
brainly.com/question/14753192
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