Answer:
Equation of line passing through (3,2) and parallel to line [tex]y = \frac{1}{3}x-3[/tex] is:
[tex]y = \frac{1}{3}x+1[/tex]
Step-by-step explanation:
Given equation of line is:
[tex]y = \frac{1}{3}x-3[/tex]
Slope-intercept form of a line is given by:
[tex]y = mx+b[/tex]
Comparing the given equation of line with general form we get
m = 1/3
Let m1 be the slope of line parallel to given line
Then the equation of line will be:
[tex]y = m_1x+b[/tex]
We know, "Slopes of two parallel lines are equal"
Which means
[tex]m_1 = m\\m_1 = \frac{1}{3}[/tex]
Putting the value of slope
[tex]y = \frac{1}{3}x+b[/tex]
Putting the point (3,2) in the equation
[tex]2 = \frac{1}{3}(3)+b\\2 = 1+b\\b = 2-1\\b = 1[/tex]
Final equation of line is:
[tex]y = \frac{1}{3}x+1[/tex]
Hence,
Equation of line passing through (3,2) and parallel to line [tex]y = \frac{1}{3}x-3[/tex] is:
[tex]y = \frac{1}{3}x+1[/tex]
Thomas buys a case of bottled water. A case contains 36 bottles of water and it costs $4.68. How much does each water bottle cost? *
Answer:
13 cents per bottle
Step-by-step explanation:
Please help me!
I need help really fast
Answer:
75
Step-by-step explanation:
Jim will finish in 6 days because 300/50=6
So you know that Sam needs to finish the book in at exactly 4 days
300/4= 75 pages per day
Answer:
a lot
Step-by-step explanation:
a lot
-8n - 4 = -2 +n -n please I need the answer by tomorrow
Answer:
n= -3/4 (0.75)
Determine the correct inequality for the unknown side of the triangle.
A
B
C
D
which graph represents the solution for the equation 1/6x=-2x+5
Answer:
Pllsssss Pllsssss Pllsssss
Step-by-step explanation:
Pllsssss Pllsssss Pllsssss
about 7/10of the surface of the earth is covered with water. express this as an equivalent fraction with 100 as the denominator. the fraction with 100 as the denominators are known as per cent. 50/100 means 50 per cent. so what percentage of the earth's surface is covered with water? what percentage is covered with the land?
Answer:
70%
Step-by-step explanation:
PLEASE HELP ME I NEED HELP THIS IS DUE BY TODAY AND IF I DONT GET IT DONE MY MOM WILL KILL ME
Answer: it's just a black screan
Step-by-step explanation:
Answer:
5.8
Step-by-step explanation:
5+8(3+x)=
5+24+5x
29+5x=
5x= Negative 29
divide 29 by 5
identify like terms 2d 5f 2g 7 3g g
Answer:
Step-by-step explanation:
The degrees of the terms in the order given are 2, 4, 1, 3, 0. The second-highest of these numbers is 3, and the corresponding term is ...
B: -g^3
(3g+5)(2g-7)
(3g+5)(2g-7)=6g²-21g+10g-35 = 6g²-11g-35
An art teacher has a total of 5/8 pound of clay.The teacher puts 1/32 pound of clay at each work station.How many total work station will the art teacher be able to set up
Answer: Total work stations = 20
Step-by-step explanation:
Total clay = [tex]\dfrac58[/tex] pound
Clay at each work station = [tex]\dfrac1{32}[/tex] pound
Total work stations = (Total clay ) ÷ (Clay at each work station )
[tex]=\dfrac58\div\dfrac{1}{32}\\\\=\dfrac58\times32\\\\= 5\times4\\\\= 20[/tex]
Hence, Total work stations = 20
An Avon sales lady buys a make-up kit for $120 and sells it for $65 more. What is the percent of markup? 37.5%
Answer: 54.2%
Step-by-step explanation:
The percent mark-up refers to how much higher you sell a product than what you bought it for expressed as a percentage of what you bought it for.
In this case, the woman bought it for $120 and sold it for $65 more.
Cost = $120
Markup = $65
Markup percentage = 65 / 120 * 100%
= 54.2%
Which of the following expressions are equivalent to 4 to the third radical
Answer:
good luck.......................
Simplify (-w^3/6)^-2
Write your answer using only positive exponents. Evaluate any numerical powers
36/w^6 is the correct answer
The simplified form of the given expression is -1/w¹.
What is a positive exponent?A positive exponent tells us how many times to multiply a base number, and a negate
ve exponent tells us how many times to divide a base number. We can rewrite negative exponents like x⁻ⁿ as 1 / xⁿ.
The given expression is [tex](-w^{\frac{3}{6} })^{-2}[/tex]
Here, [tex](-w^{\frac{3}{6} })^{-2}[/tex]=[tex]-w^{\frac{-6}{6} }[/tex]
= -w⁻¹
= -1/w¹
Therefore, the simplified form of the given expression is -1/w¹.
To learn more about the positive exponent visit:
https://brainly.com/question/1773695.
#SPJ2
Help ill mark u brainliest pls
Answer:
a = 151
Step-by-step explanation:
Both angles make a supplementary angle meaning their angles will add up to 180°.
a + 29 = 180
a = 151
b) Expand 3p(p+5)
c( Solve 4(k-6) = 20
Solve for r. 5(r - 10) = -51 Enter the answer in the box.
Select the correct text in the passage,
What is the opportunity cost in this scenario?
Mikael has saved $4,000 for his trip to Brazil. He has calculated that his total transportation expenses will be $1,000. The hotel will cost him
another $1,500. He will spend about $500 on food. He plans on spending the remaining $1,000 for sightseeing and buying souvenirs.
While booking his plane ticket
, he realizes that the price has gone up. His total transportation expenses will go up by $200. He realizes that he
cannot cancel his hotel reservation. He also doesn't want to go cheap on food. Finally, he decides to give up visiting the popular Ouro Preto
during his stay in Brazil
Reset
Next
mentum All rights reserved
Answer:
Sightseeing
Step-by-step explanation:
p=1/2 q=-1/4 r=1/6 evaluate this: 48pqr(p+q+r)/(p+q)(p+r)
Answer:
-2
Step-by-step explanation:
48pqr x (p + q + r) / (p + q) x (p + r)
48(1/2)(-1/4)(1/6) x (1/2 + (-1/4) + 1/6) / (1/2 + (-1/4)) x (1/2 + 1/6) dear lord..
48(1/2)(-1/4)(1/6) x (0.4) / (0.25) x (0.7)
-1 x (0.4) / (0.25) x (0.7)
-0.4 / 0.2
= -2
i really hope this is right because my brain hurts
ANSWER QUICK HANKS I WILL GIVE BRAINLIEST
Answer:
2 2/9
Step-by-step explanation:
Answer: 2 2/9
Step-by-step explanation:
16/9÷4/5=80/36 simp 2 2/9
The second of two numbers is two more than the first.
The sum is 40. Find the numbers.
Answer:
19 + 21 = 40.
Step-by-step explanation:
A sandbox is located at (-8, -3). How many UNITS apart on the coordinate plane are the locations of the swing set and the sandbox?
125 is 30% of what number
Answer:
24
Step-by-step explanation:
Answer:
125 is 30% of the number 24, hope this helps
Step-by-step explanation:
We have, 125% × x = 30
or, 125/100 × x = 30
Multiplying both sides by 100 and dividing both sides by 125,
we have x = 30 × 100/125
So your answer is X=24
If each soda sells for $2.50, what is the expected daily total dollar amount taken in by the vendor from the sale of sodas?
Answer:
$34.38
Step-by-step explanation:
Y: A random variable that indicates the amount of money that the seller will receive.
p=2,50$
if x=0 → y=0.2,50=0$
if x=5 → y=5.2,50 = 12,5 $
if x=10 → y=10.2,50= 25$
if x=15 → y=15.2,50= 37,5$
if x=20 → y=20.2,50= 50 $
if x=25 → y=25.2,50= 62,5$
Y= { 0$ ; 12,5$ ; 25$ ; 37,5$ ; 50$ ; 62,5$ }
E(Y)= ∑Y.P(Y)
= 0.P(0)+12,5.P(12,5)+ 25.P(25)+ 37,5.P(37,5)+ 50.P(50)+ 62,5.P(62,5)
= 0.0,01+ 12,5.0,15+ 25.0,25+ 37,5.0,3+ 50.0,25+ 62,5.0,04
= 0 + 1,875 + 6,25 + 11,25 + 12,5 + 2,5
= 34,38$ expected value of the amount of money the seller receives.
An airplane flew 1100 miles in 2.5 hours. How
fast was it flying in miles per hour?
Answer:
fast
Step-by-step explanation:
Find the missing angle measures
m∠3
m∠4
m∠5
m∠6
Please show work
Answer:
75
Step-by-step explanation:
x+45+60=180
x+105=180
x=180-105
x=75
The circumference of a circle is 9.37cm.
Find the length of the diameter.
Give your answer rounded to 2 DP
Answer:
9.37 divide by two = 4.685
4.685 in 2DP = 4.68
Step-by-step explanation:
i hoped this helps.
Answer:
2.98 :)
Step-by-step explanation:
the circumference is when you do pi times diameter.
do 9.37 divided by 3.14(pi) to work out the diameter.
9.37/3.14=2.984
rounded its 2.98
85 out of 350 books in the library are about Mysteries.
What percent of the books are Mystery books?
Answer:
nearly 24%
Step-by-step explanation:
85=350×a/100
85=3.5a
a=85/3.5
nearly 24%
one pound of cherries costs $ 2.25. alice purchased 8.2 pounds of cherries for a party. how much money did she spend on the cherries.
Answer:
18.45
Step-by-step explanation:
You multiply 2.25 by 8.2
1 pound/$2.25
x 8.2 x 8.2
Answer: 8.2 pounds/$18.45
Alice purchased $18.45 of 8.2 pounds of cherries.
what is n in the equation 2(2n + 3)
Answer:
n=-1.5 or -3/2
Step-by-step explanation:
4n+6
4n=-6
n=-1.5 or -3/2
?? anyone know thank you❤️
Answer: 9/8
Step-by-step explanation:
you turn 1/2 into 4/8 and add that to 5/8 to get 9/8
Dexter has four different coins in his pocket. He has 1 quarter 1 nickel 1 dime and 1 penny he randomly selects a coin from his pocket, replaces it, and selects another coin. What is the probability that both coins are dimes
