Answer:
y = -6x + 7
Step-by-step explanation:
In this question, we need to find the equation of a line with the given information.
We know that the line passes through (2, -5).
We also know that the line is parallel to the line 6x + y = 6, which means that it has to have the same slope.
To make it simpler to understand, we can change the equation into slope format:
y = -6x + 6
This means that our new line should have a slope of -6.
With the information above, we can plug in our new values to get the y-intercept of our equations, since we don't have that information.
Plug in your slope and coordinates to the y = mx + b equation and solve for b:
-5 = -6(2) + b
-5 = -12 + b
Add 12 to both sides.
7 = b
Our y-intercept would be b.
Now, we can plug in all our information to get our new equation:
y = -6x + 7
Your answer would be y = -6x + 7
toni can carry up to 15 lbs in her backpack. her lunch weights 1 lb, her gym clothes weight 2 lb, and her books (b) weight 3 lb each. How many books can she carry in her backpack?
Answer:
4 books
Step-by-step explanation:
15-3=12
12/3=4
Find the value of x 105,160,110,105,115
Answer:
dzxfchgjvhkbjl
Step-by-step explanation:
Reuben bought 5CDS that were each the same priceIncluding sales tax, he paid a total of \$81.50. Each CD had a tax of $0.60. what was the price of each cs before tax ?
Answer:
The price of each CD before tax is $15.70
Step-by-step explanation:
Given that:
Number of CDs bought by Reuben = 5
Cost of five CDs = $81.50
Sales tax on each CD = $0.60
Sales tax on 5 CDs = 0.60*5 = $3.00
Price of CDs without tax = 81.50 - 3.00 = $78.50
Price of each CD = [tex]\frac{Cost\ of\ CDs}{No.\ of\ CDs}[/tex]
Price of each CD = [tex]\frac{78.50}{5}[/tex]
Price of each CD = $15.70
Hence,
The price of each CD before sales tax is $15.70
So I just need help.
Answer:
a = 100 + 45t
Step-by-step explanation:
$100 is a one time addition so it will be a constant
100
$15 is added three times a month, so $45 a month
t stands for months as shown in the question
100 + 15(3)t
100 + 45t
Is the equation proportional?
y = 2x + 6
Answer:
yep
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
2x + 6 is equal
John and his best friend found some money. They split the money evenly, each getting $14. How much money did they find?
Answer:
$28
Step-by-step explanation:
John and his best friend each got $14, so in total there are $14+$14=$28.
Answer:
$28
Step-by-step explanation:
If they split the money evenly then both of them got half.
So, multiply 14 by 2 to find the answer:
(14)(2) = 28
John and his best friend found a total of $28.
I hope this helps!!
- Kay :)
If DF=61 and EF=18, find DE.
5+3w+3-w combine like terms to simplify
Answer:
8 + 2w
Step-by-step explanation:
⇒ Change all signs to addition (subtraction is the same as adding a negative):
5 + 3w + 3 + -w
⇒ Since the expression is now all addition, you can rearrange them in any order. So group the terms together by their type:
5 + 3 + 3w + -w
⇒ Simplify:
8 + 2w
Answer: 8 + 2w
Hope this helps! :)
Max has a drawer full of green and red socks. He has three times times as many red socks subtracted from four times as many green socks which he believes is 50 socks. Half the number of green socks plus one-third of the number of red socks is 36. How many of each colour does he have?
Answer:
There are 42 red colour socks and 44 green color socks
Step-by-step explanation:
Let there are r red socks and g green socks.
ATQ,
He has three times times as many red socks subtracted from four times as many green socks which he believes is 50 socks.
4g-3r=50 ....(1)
Half the number of green socks plus one-third of the number of red socks is 36.
[tex]\dfrac{g}{2}+\dfrac{r}{3}=36\\\\3g+2r=216\ .....(2)[/tex]
Multiply equation (1) by 2 and equation (2) by 3.
8g-6r = 100 ....(3)
9g +6r = 648 ....(4)
Add equation (3) and (4)
8g-6r + 9g +6r = 100+648
17g = 748
g = 44
Put the value of g in equation (1).
4(44)-3r=50
176-3r = 50
176-50 = 3r
r = 42
Hence, there are 42 red colour socks and 44 green color socks.
what is the scientific notation for 92100
Answer:
9.21*10^4
Step-by-step explanation:
which is an equation for the line passing through the points (-3,3) and (6,9)
Answer:
y=2/3x +5
hope this helps
Answer:
[tex] \red{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]
Explanation
[tex] slope \:of \:the\: required\:\: line \implies\\\frac{9-6}{6-(-3)}=\frac{6}{9} [/tex]
[tex] equation \:of \:the\: required\:\: line\implies\:\\y - 3 = \frac{6}{9} (x + 3)[/tex]
[tex] \implies \: 9y - 27 = 6x + 18[/tex]
[tex] \implies \: 6x - 9y + 45=0[/tex]
[tex] \implies\:2x-3y+15=0[/tex]
Hence the equation of the line is
[tex] \green{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]
r = 4 in., θ = 11 rad; find s
Answer:
The arc length s = 44 inches
Step-by-step explanation:
We are given:
r = 4 in
Ф = 11 radians
We need to find s
The formula used is: [tex]s=r\theta[/tex]
where s represents arc length, r is radius and Ф is angle in radians
Putting values and finding s
[tex]s=r\theta[/tex]
Put r = 4 and Ф = 11
[tex]s=4\times 11\\s=44[/tex]
So, the arc length s = 44 inches
A machine produces 264 bolts in 42 minutes. At the same rate, how many minutes would it take to produce 308 bolts?
minutes
Answer:
49.6 minutes to create 308 bolts
Step-by-step explanation:
hope this helps :)
idk this please help me
Answer:
Pretty sure it is c
Step-by-step explanation:
Write the ratio
2/3 /5
in simplest form
Answer:
A) 2/15
Step-by-step explanation:
So just divide it normally, do keep change flip
2/3*1/5
2/3 keep
divison change
Denomeinator, flip it, 5 to 1/5
now multiply
2/15
Given the conditional statement: "If it is Wednesday, then Kayden doesn't
have baseball practice." What is the hypothesis of this statement? *
Answer:
if it's wednesday
Step-by-step explanation:
Mr. Gonzalez invested $4,200 into an account that earns a simple interest rate of 3% per year.
What is the amount of interest Mr. Gonzalez will earn at the end of one year?
Answer:
4326
Step-by-step explanation:
4200/100x3=126
4200 + 126=4326
Answer:
b
Step-by-step explanation:
4326
You and your friend join a new gym that requires a one-time joining fee and monthly payments. Your friend chooses the 1 year plan and pays $687, while you elect the 18 month contract which costs $981. Use this information to determine the linear model used to calculate cost from months of membership.
Answer:
C = 99 + 49m
x = $99
y = $49
Step-by-step explanation:
Let
x = one time joining fee
y = monthly payment
Your friend:
1 year = 12 months
x + 12y = $687
You:
x + 18y = $981
x + 12y = 687 (1)
x + 18y = 981 (2)
Subtract (1) from (2)
18y - 12y = 981 - 687
6y = 294
Divide both sides by 6
y = 294 /6
= 49
x = $49
Substitute y = 49 into
x + 12y = 687
x + 12(49) = 687
x + 588 = 687
x = 687 - 588
= 99
x = $99
C = 99 + 49m
Where,
C = total charges
m = number of months
99 = a one time joining fee
49 = charges per month
which is the graph of x-y=1
The volume of a cylinder is 401.92 cubic inches.
If the height of the cylinder is 2 inches, what is
its radius?
Write the Slope-Intercept and Point-Slope forms of the line passing through the point (-3, 2) and having a slope of -4/5
Answer:
slope-intercept: [tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]
point-slope: [tex]y-2=\frac{-4}{5} (x+3)[/tex]
Step-by-step explanation:
The slope-intercept form of a line is written as y = mx + b, where m is the slope and b is the y-intercept.
The point-slope form of a line is written as y - y1 = m(x - x1), where (x1, y1) is a given point and m is the slope.
Here, we see that the slope is -4/5, which means that m = -4/5. Since we're given a point (-3, 2), let's go ahead and just write the point-slope form already. (x1, y1) = (-3, 2) so x1 = -3 and y1 = 2. Then:
y - y1 = m(x - x1)
y - 2 = (-4/5) * (x + 3)
[tex]y-2=\frac{-4}{5} (x+3)[/tex]
Now, we want to find the slope-intercept form, so we need to figure out the y-intercept. Well, first, let's plug in what we know:
y = mx + b
y = (-4/5)x + b
Any point on this line will satisfy the above equation. Since (-3, 2) is on this line, if we plug -3 in for x and 2 in for y, the equation should hold true, so we can solve for b:
y = (-4/5)x + b
2 = (-4/5) * (-3) + b
2 = 12/5 + b
b = -2/5
So, the y-intercept is -2/5. Then the slope-intercept form is:
[tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]
Thus, our two equations are:
slope-intercept: [tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]
point-slope: [tex]y-2=\frac{-4}{5} (x+3)[/tex]
Simplify.
9/3x + 4+ 2x
Answer:
5x+4
Step-by-step explanation:
Norma made 16 braided bracelets. She split them evenly among g gift boxes. Write an expression that shows how many bracelets were in each box.
Answer:
16/g
Step-by-step explanation:
Answer:
the correct answer is 16÷g
Step-by-step explanation:
why 16÷g because the explanation said 16 braided bracelets. and the gift boxes was g so i think its 16÷g
YOU GET 60 POINTS!! Ronald rents a car from Cheap Rent-a-Car for $25 plus $0.05 per mile. Dixon rents a car from Great Cars for $40 plus $0.03 per mile. How many miles must they both drive for their rental fees to be the same?
Answer:
750 miles
Step-by-step explanation:
25+0.05x=40+0.03x
0.02x=15
x=750
Someone help!
Three customers have accounts owing money. The table shows the account balances.
Which customer owes the least amount of money?
Customer Balance
M. Palmer –$56.72
B. Leftwich –$74.19
R. Jordan –$54.31
M. Palmer
B. Leftwich
R. Jordan
what is x in 4x²-12x+ 9 = 0
Answer: x = √9/8
answer is x = square root of 9/8
Step-by-step explanation:
Answer this question quickly plz
Answer:
a.
1 quarter=0.25
240*0.25=60
again,
b.349/60=5.81 weak
Answer:
Step-by-step explanation:
a) he saves £60 per week
b) 60 x 6= 360
he needs to save £60 for 6 weeks to have enough money to buy a bike
Order from least to greatest, (15 points) and brainy award.
Answer:
pi/2 ... 2pi -square root 9..... and then pi +3
Step-by-step explanation:
pretty much the opposite of what it is now
A baseball bat factory produces 24,000 bats per day and uses 50 boxes for packing the bats. If the number of boxes needed for packing is proportional to the number of bats produced, how many boxes would be needed on a day when 36,000 bats are produced?
Answer:
Total boxes= 75
Step-by-step explanation:
Giving the following information:
A baseball bat factory produces 24,000 bats per day and uses 50 boxes for packing the bats.
First, we need to determine the number of bats that fits into a box:
Bats per box= 24,000 / 50
Barts per box= 480
Now, the number of boxes for 36,000 bats:
Total boxes= total bats / bats per box
Total boxes= 36,000/480
Total boxes= 75
Answer:75
Step-by-step explanation:
Bats 24000/50
Box 480
Perry currently has $238 dollars and is spending $6 per day. Nick has no money but is earning $8 each day. After how many days will they have the same amount of money?
Answer:
are you sure it is not 180? if it is it is 12.87
but if it is 238 it is 21 days or something close