Answer:Find the distance between the parallel lines m and n whose equations are y = x + 4 and y = x - 6, respectively.
There are several ways to do this...here's one
Let (0, 4) be a point on the first line
Then.......a line with a negative reciprocal slope going through this point will have the equation :
y = -x + 4........so......we can find the intersection of this line with y = x - 6....set both equations equal
-x + 4 = x - 6 add x, 6 to both sides
10 = 2x divide both sides by 2
5 = x
So...using -x + 4, the y value at intersection = -1.......
So...we just need to find the distance from (0,4) to ( 5, -1) =
√[ (5)^2 + (4 + 1)^2 ] = 5√2 ≈ 7.07 units
Here's a pic....AB is the distance with A = (0,4) and B = (5, -1)
Step-by-step explanation:
mary robertson sells tires at a large car service center. She earns 10% commission on the first $1000.15 percent on the next $2000 and 20% on sales for more than $3000 last week she sold $3400 worth of tires what is her total commission
Answer:
$1530 = 45% commission
Step-by-step explanation:
First, jot down the important facts:
• first $1000 = 10% comm.
• next $2000 = 15% comm.
• total more than $3000 = 20% comm.
• total comm. = $3400
Then, go in order with your jotted facts to withdraw the total commission amount. Here's what I mean:
$3400 ← total is more than $3000 = +20% comm.
- $1000 ← the first $1000 = +10% comm.
$2400
- $2000 ← the next $2000 = +15% comm.
$400
Then, add together the commission percentages:
20% + 10% + 15% = 45% comm.
Convert the percentage to a decimal:
45% × 100 = 0.45
And multiply it with the total amount to find the commission amount:
$3400 × 0.45 = $1530
If the sum of 8 and 5x is 11, what is the value of 2x?
Please explain the steps.
Answer:
2x = 1.6 as decimal
2x = 6/5 as fraction.
Step-by-step explanation:
Okay so just write it as an equation.
5x + 8 = 11 (minus 8 on both sides)
5x = 3 (divide by 5)
x = .6 or 3/5
NOW if you want to find what 2x equals. We already know what x equal so just multiply x by 2.
x = .6 (multiply by 2 on each side)
2x = 1.2 or
2x = 6/5
Did this help??
14. In order for Carlton's Car Dealership to make a profit, it must mark up the dealer price of cars by 14%. After the increase, a new sedan at Carl's Car Dealership is marked to sell for $14,600. What is the dealer price of the sedan? F. $12,807 G. $12,556 H. $13,114 J. $13,200 K. $14,586
Answer:
14586 i think
Step-by-step explanation:
14,600-14%= 729993/50
simplify you get 14599 43/50
pic the closest answer
x+3y=10 is a quadratic equation or NOT
Answer:not
Step-by-step explanation:
Quadratic equations involve exponents
-3 < 3x ≤ 9
explain how you got the answer
Answer:
-3/3<3x/3less than or equal to 9/3
-1<x less than or equal to3
this is the answer I say less than or equal to coz I don't get the mathmatical sign on my keyboard
A farmer has a field that 40 yards long by 20 yards wide what is the total area of the field
Answer:
2400
Step-by-step explanation:
A= length x width
A=40x20
A=2400
Answer:
800
Step-by-step explanation:
40 times 20=800
What is the solution to the equation
5(x-2)-(x+3)=x-8
Answer:
5(x-2)-(X+3)=x-8
5x-10-x-3=x-8
4x-13=x-8
4x-x=(-8)+13
3x=5
X=5/3
hope you like the answer
please mark the answer as brainliest
Answer:
-5
Step-by-step explanation:
3. During last season, Fairfield Farms sold strawberries as follows: 800 boxes at $1.25/box in the early part of the season; 1600 boxes at $0.90/box and 2000 boxes at $0.75/box at the height of the season, and 600 boxes at $1.10/box during the late season. a) What was the average price charged? (b) What was the average price per box?
a)
Average price charged :
[tex]P=\dfrac{1.25+0.90+0.75+1.10}{4}\\\\P=\$1[/tex]
b)
Total income, T =$ 800×1.25 + 1600×0.90 + 2000×0.75 + 600×1.10
T = $4600 .
Total number of box, n = 800 + 1600 + 2000 + 600 = 5000.
Average price per box, [tex]A=\dfrac{4600}{5000}=\$0.92/box[/tex] .
Hence, this is the required solution.
10x-15=6x-43
Is this Infinitely Many Solutions
One Solutions
Or No solution
Answer:
one solution
Step-by-step explanation:
Given
10x - 15 = 6x - 43 ( subtract 6x from both sides )
4x - 15 = - 43 ( add 15 to both sides )
4x = - 28 ( divide both sides by 4 )
x = - 7 ← one solution
A square has an area of 200 square feet. Between which two consecutive integers would the length of each side fall? *
A.) 12 and 14
B.) 13 and 14
C.) 14 and 15
D.) 15 and 16
Answer:
B (My guess)
Step-by-step explanation:
Please help me out :/
Answer:
(f × g)(x) = 3x^3 - 14x^2 -27x + 18
Step-by-step explanation:
That is f(x) × g(x). You have to multiply them as separate polynomials.
(f × g)(x) = (3x^2 + 4x - 3)(x - 6)
Use the foil method.
(f × g)(x) = 3x^3 - 18x^2 + 4x^2 - 24x - 3x + 18
Finally, simplify.
(f × g)(x) = 3x^3 - 14x^2 - 27x + 18
Find the selling price of a sled with an original price of $99.50 and a 95% markup
School fees for a popular high school have been increasing by 9.5% per year. When Antoinette started the school, the annual fees were $6230. By the time Antoinette leaves the school 8 years later, how much have her parents paid in school fees in total? Give your answer to the nearest $100.
Answer:
Antoinette's parents paid $ 70000 by the time she left the school.
Step-by-step explanation:
Antoinette's parents paid at the beginning ([tex]t = 0[/tex]) $ 6230, and each year paid annual fees including increases seven times. ([tex]0 <t \leq 7[/tex]) We find that annual fee paid at a given year is represented by the following formula:
[tex]C(t) = C_{o}\cdot \left(1+\frac{r}{100} \right)^{t}[/tex]
Where:
[tex]C_{o}[/tex] - Initial annual fees, measured in US dollars.
[tex]C(t)[/tex] - Current annual fees, measured in US dollars.
[tex]r[/tex] - Yearly increase rate, dimensionless.
If we know that [tex]C_{o} = \$\,6230[/tex] and [tex]r =9.5[/tex], first 8 annual fees paid by Antoinette's parents are:
[tex]C(0) = \$\,6230[/tex]
[tex]C(1) =\$\,6821.85[/tex]
[tex]C(2) = \$\,7469.93[/tex]
[tex]C(3) = \$\,8179.57[/tex]
[tex]C(4) = \$\,8956.63[/tex]
[tex]C(5) = \$\,9807.51[/tex]
[tex]C(6) = \$\,10739.22[/tex]
[tex]C(7) = \$\,11759.45[/tex]
Now, we sum each yearly fees to determine the total paid by Antoinette's parents when she leaves the school at the end of the 8th year.
[tex]C_{T} = C(0) +C(1)+C(2) + C(3)+C(4)+C(5)+C(6)+C(7)[/tex]
[tex]C_{T} = \$\,6230+\$\,6821.85+\$\,7469.93+\$\,8179.57+\$\,8956.63+\$\,9807.51+\$\,10739.22+\$\,11759.45[/tex]
[tex]C_{T} = \$\,69964.16[/tex]
Antoinette's parents paid $ 70000 by the time she left the school.
Round 43,628 to the thousands place. 40,000 43,600 43,000 44,000
Answer:
44,000
Step-by-step explanation:
did I did right.
Joey went to the Walmart and brought 5 skateboards. He spent a total of 115$. How much does each skateboard cost
Answer:23
Step-by-step explanation:5×23=115
Answer:
Each skateboard costs $23
Step-by-step explanation
We divide 115 by 5, then we get $23.
What is the value of the expression when
X = 5
32X - 4) - X
Answer:151
Step-by-step explanation:
Answer:
151
Step-by-step explanation:
A teacher wants to buy supplies to make kits for students that each contains a pencil, a pen, an eraser, and a notebook. Write and solve an equation to find the greatest number of kits the teacher can make by spending $35. Explain your reasoning.
The pencils cost $0.10
The pens cost $0.25
The poster boards cost $1.50
The notebooks cost $ 3.00
The erasers cast $0.10
How many of each can the teacher by with the $ 35.
Answer: 7
Step-by-step explanation:
please please help asap!!
Answer:
y = 1000 or y = 1300
Step-by-step explanation:
im not really sure but i had this problem and i said that and he took it as a answer
pls help asap
i am timed
Answer:
It's 5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
(36-(5-3)⁴) / 4 = (36 - 16)/4
= 20/4 = 5
Selene's checking account balance was -$27, and then she withdrew $43 more. What is her checking account balance after the withdrawal?
Answer:
-$70
Step-by-step explanation:
how do you do least from greatest in decimals and greatest from least too....
what ever is bigger So if 12 and 20 which is bigger 20
PLEASE HELP ASAP!
With Solution Please!
Given the function f(x) = 4ˣ
evaluate f (1)
Answer:
4
Step-by-step explanation:
Any base raised to the power of 1 is that base.
f(x) = 4^x
f(1) = 4^1 = 4
Answer:
I think it is 4 (correct me if I'm wrong)
Step-by-step explanation:
the answer is 4 because the the f(1)
this means that the (x) is replaced by f(1)
then you see the 4^{x} is replaced by 4^{1}
4^{1} = 4
PLease explain this to me in your answer. It's the same as the previous post, don't answer unless if you actually know how to do this.
Answer:
the first point is (-3,0) the second is (0,-1)
Step-by-step explanation:
Tom has a faulty light switch. If he calls an electrician to come and fix it, the electrician will
charge him $65 for the house call plus $60 per hour for parts and labor. Tom wants to spend no
more than $100 to repair the switch. The electrician estimates it will take her half an hour to fix
the switch. Should Tom hire her?
Answer:
yes.
Step-by-step explanation:
tom should hire the electrition to get his light fixed even though it will go 25 dollars over his budget.
Lucerne to $50 the first day he open his Lemonade Stand he earn $4 on the second day he and he earned $5.50 on the third day if this pattern continues how much money will Louis earn on the fifth day
Answer: 8.50 dollars
Step-by-step explanation:
The pattern is that he earns $1.50 a day. That means that on the 5th day, he will earn $8.50.
10*5+8= what I know the answer but people need points
Answer:
58
Step-by-step explanation:
lol
use pemdas
50 + 8
58
Answer:
58
Step-by-step explanation:
Solve for x.
8(x + 1) - 3(x + 4) = 7(2 - x)
a. x = 1 1/2
b. x = 1 1/4
c. x = -1 1/4
d. x = -1 1/2
Answer:
A. x=1 1/12
Step-by-step explanation:
8x+8-3x-12=14-7x
5x-4=14-7x
5x+7x=14+4
12x=18
x=18/12
x=1 1/2
Answer:
1 1/12
Step-by-step explanation:
Recall that the domain of a function is the set values for the independent variable (x-values).
What is a reasonable domain for this problem situation?
Answer: reasonable domain 0 ≤ x ≤ 10
Or more specifically Real numbers between 0 and 10
Step-by-step explanation: Look at the x-values in the graph. Use the lowest number and the highest number to describe the reasonable domain.
Four times the sum of f and g is identical to six times g.
Answer:
4 * f + g = 6g
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
Answer: 4(f+g)=6g
Step-by-step explanation:
Please answer all questions
Answer:
1, D
2,D
3,B
hopefully this helps you! I'm not too sure but sure enough :)
steps:
1. The answer is none of the above because if you multiply for example 51 x 10 8 it'd be 51 x 80 which is not the answer because 51 x 80 is 4080 which is not 510 000 000.
2. The answer is none of the above because if you divide 0.0763/1.85+4.7x8 it would equal 37.6 which unfortunately isn't an answer above.
3. Finally the answer for this one is B because if you have 8/9 - 5/7 it would equal 11/63 I subtracted 8 and 9 and made sure the bottom numbers were the same, and I simplified.
hopefully THIS helps you?