Answer:
y = -¹/₂ x - 6Step-by-step explanation:
Two lines are perpendicular if the product of theirs slopes is equal -1:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇒ m₁×m₂ = -1
y = 2x + 3 ⇒ m₁=2
2×m₂ = -1 ⇒ m₂ = -¹/₂
The y-intercept is b=-6 so the equation in slope-intercept form:
y = -¹/₂ x - 6
At the market you can buy 6 bags of apples for$31.02. At the orchard you can get 5 bags of apples for $25.40. Which is the better deal
Buying bags of apples from orchard will be the better deal.
What is unit price?Unit price cab be found by using formula ,dividing the total price by the price of of one quantity.
Formula used for finding unit price[tex]price of one item=\frac{total price }{total number of items}[/tex]
According to the given question
At the market:
Cost of 6bags of apples=$31.02
⇒ Cost of 1bag of apples [tex]=\frac{31.05}{6} =5.17[/tex]
At the orchard:
Cost of 5bags of apples =$25.40
⇒ Cost of 1bag of apples=[tex]\frac{25.40}{5}[/tex]=$5.08
Therefore, unit price of a bag of apples from orchard is less as compared to the bag of apples from market.
Hence, buying bags of apples from orchard will be the better deal as compared to the buying bags of apples from market.
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i need help please right answers only
Answer:
-3/2
Step-by-step explanation:
Count up three times and to the left twice. Let me know if you need help with other questions!
The height of a triangle is 6 units less than twice the base length if the height is 18 units, what is the base length
Answer:
12 units
Step-by-step explanation:
h=2x-6
18=2x-6
24=2x
12=x
factories:
y(x+y)-(1+x)
Answer:
[tex](y - 1)(x + y + 1)[/tex]
Step-by-step explanation:
[tex]y(x + y) - 1(1 + x)[/tex]
Lets expand it.
[tex] = > xy + {y}^{2} - x - 1[/tex]
Lets re-arrange it.
[tex] = > xy - x + {y}^{2} - 1[/tex]
Lets split [tex] {y}^{2} - 1[/tex]
So,
[tex] = > x(y - 1) + (y + 1)(y - 1)[/tex]
[tex] = > (y - 1)(x + y + 1)[/tex]
Answer:
hope it helps you have a great day keep smiling be happy stay safe
78=6 f please help solve ion have much time
Answer:
hii
Step-by-step explanation:
Which statement explains why 49 is a perfect square?
49 can be multiplied by 49.
49 is equal to 7 plus 7
49 betweern 36 and 64
49 is equai to 7 times 7
On edge
Answer:
the statement that shows that 49 is a perfect square 49 is equal to 7 times 7
Identify the terms, like terms, coefficients,
and constants in 5n - 2n – 3 + n.
Answer:
5n - 2n - 3 + n
3n - 3 + n
3n + n = 3
4n = 3
N= 4 ➗ 3
N = 1.33
Step-by-step explanation:
Simplify:
2 11/12 + 5 1/2 + 3 3/8
Write you answer as a mixed number.
Answer:
[tex]2\frac{11}{12} +5 \frac{1}{2} + 3\frac{3}{8}[/tex] (write them out and convert them all into mixed fractions)
[tex]\frac{35}{12} + \frac{11}{2} + \frac{27}{8}[/tex] (find the LCD aka least common denominator)
[tex]\frac{70}{24} + \frac{132}{24} + \frac{81}{24}[/tex] (add all numerators together)
[tex]\frac{283}{24}[/tex] (this is improper, so you need to convert back to mixed by dividing)
[tex]11\frac{19}{24}[/tex] (this is your answer)
will give brainliest
Which of these options are linear?
Answer:
B table
Step-by-step explanation:
The B table is a linear table because with each x value, the y value is moving steadily with addition/subtraction. Table A is moving steadily with multiplication.
(WILL GIVE BRAINLIEST IF YOU SHOW THE WORK!) The Jones family just ate at a new restaurant and the bill came to $52.75. They want to leave a 15% tip for the waiter. How much is the tip? What is the total amount that they spent including the tip?
Answer:
Total: $60.66
Step-by-step explanation:
tip: $52.75 x 0.15 = $7.91
tip+bill: $52.75 + $7.91 = $60.66
What’s the solution for x/3 = 3
Answer:
x=9
Step-by-step explanation:
x/3=3
1. Multiply both sides by 3
x/3 * 3 = 3*3
2. 3 and 3 cancel out
x=9
Answer:
What's the question?
Step-by-step explanation:
for what value of x is d parallel to e?
A) 20
B) 25
C) 35
D) 37
Mark wants to continue using whole liters of paint and thinks he can create a mixture of green paint the is 38 liters. Evaluate Mark's thinking using mathematical reasoning.
The ratio from blue to yellow paint is 2:3
I need helpppppp ASAP
Answer: It's not possible to create 38 liters of green paint with whole liters of blue and yellow paint.
======================================================
Explanation:
The ratio of blue to yellow is 2:3. We have 2 parts blue and 3 parts yellow.
Multiply both parts by x to get 2x:3x
We have 2x parts of blue paint, and 3x parts of yellow paint.
x is some positive whole number.
In total, we have 2x+3x = 5x liters of paint. Set this equal to 38 and solve for x to get
5x = 38
x = 38/5
x = 7.6
We don't get a whole number, which contradicts how we set up x earlier. This must mean that Mark must use a fractional liters, instead of whole liters.
-------------------------
Here's another way to look at it:
Lets say he uses 2 liters of blue and 3 liters of yellow. This mixes to 2+3 = 5 liters of green.
Now let's say he uses 4 liters of blue and 6 of yellow. I multiplied both parts by 2. This mixes to 4+6 = 10 liters of green.
We continue this process to get the following
6 liters of blue + 9 liters of yellow = 15 liters of green8 liters of blue + 12 liters of yellow = 20 liters of green10 liters of blue + 15 liters of yellow = 25 liters of green12 liters of blue + 18 liters of yellow = 30 liters of green14 liters of blue + 21 liters of yellow = 35 liters of green16 liters of blue + 24 liters of yellow = 40 liters of greenAs you can see, we don't land on 38 liters of green. We can get to 35 liters or 40 liters, but not 38. Each of the amounts of green are a multiple of 5.
This is confirmation that Mark will have to use some fractional amount of liters of blue and yellow paint.
PLEASE DON'T JUST WRITE AN ANSWER!!! I WOULD REALLY APPRECIATE A STEP BY STEP EXPLANATION SO I CAN UNDERSTAND IT MYSELF :)) <3
I've gotten this problem wrong three times and can't seem to figure out what I'm doing wrong :(
Castel and Gabriella are selling pies for a school fundraiser. Customers can buy apple pies and lemon meringue pies. Castel sold 6 apple pies and 4 lemon meringue pies for a total of $80. Gabriella sold 6 apple pies and 5 lemon meringue pies for a total of $94.
Could someone please walk me through the process of writing two systems of equations that represents the number of each type of pie????
Let x = cost of each apple pie; y = cost of each lemon meringue pie.
Thank you thank you so so much!
Step-by-step explanation:
Since Castel sold 6 apple pies and 4 lemon meringue pies for $80, we have 6x + 4y = $80.
Also Gabriella sold 6 apple pies and 5 lemon meringue pies for $94, we have 6x + 5y = $94.
6x + 5y = $94
- (6x + 4y = $80)
=> y = $14.
Therefore 6x + 5($14) = $94, 6x = $24, x = $4.
Hence each apple pie costs $4 and each lemon meringue pie costs $14.
Eugene had $24 to spend on three pencils.
After buying them he had $18. How
much did each pencil cost?
Answer:
$2
Step-by-step explanation:
First, we find the total he spent on the three pencils.
$24 - $18 = $6
He spent $6 on the 3 pencils.
Now we find how much each pencil cost.
$6/3 = $2
Answer: $2
Answer:
Each pencil cost 2$
First I did what he has to spend 24 then subtracted 18 from it what he had left that gave me 6. Next knew that he had bought three pencils so I did 6 divided by 3 and that left me with an answer of 2 so 2$
Hope this helped and if its not a problem could i gt brainliest?
1. The distance (d) from the center of the seesaw varies inversely as the weight (w) of a person.
JB who weighs 50 kg sits 3 feet from the fulcrum. How far from the fulcrum must JP sit in order to
balance with JB if he weighs 35 kg?
2. The number of pages (p) that Ethan reads varies directly as the number of hours (1) he is
reading.
A. write the variation equation
B. If he can read 21 pages in 14 minutes, how many pages can he read in 21 minutes?
3. The pressure of the gas is directly proportional to the temperature and inversely proportional to
its volume.
A. Write the variation equation.
B. What will happen to the pressure if the volume is reduced to half and the temperature is
doubled?
4. Given the equation y = k ma, where k is the constant of variation, which of the following
statements are TRUE or FALSE.
A. y and r varies directly.
B.y and q are directly proportional
C.y and pq2 varies jointly
D. p and r are inversely proportional
E. y and p varies directly.
pasagot naman mga prii
Answer:
1) 43/10
3) p = kt/v
4) C
1. The distance (d) from the center of the seesaw varies inversely as the weight (w) of a person.
[tex]\rm d\times w = constant[/tex]
JB who weighs 50 kg sits 3 feet from the fulcrum.
Distance of JP from the fulcrum in order to balance with JB if he weighs 35 kg?
[tex]\rm JB \times 3 = JP \times 35 \\50\times 3 = JP \times 35 \\JP = 4.28\; feet[/tex]
So JP must sit at a distance of about 4.28 feet from the fulcrum
2. The number of pages (p) that Ethan reads varies directly as the number of hours (1) he is reading.
A. write the variation equation
let the number of pages read by Ethan be p
let the number of hours he is reading be h
According to the given situation
[tex]\rm p \; \alpha\; h \\So \; equation\; is \; p = ch[/tex]
B . According to the given condition
[tex]\rm 21 = c \times 14\\c = 3/2 = 1.5[/tex]
hence the constant of proportionality c = 1.5
So let us consider he reads p' pages in 21 minutes
[tex]\rm p' = 1.5 \times 21 = \bold{31.5\; pages}[/tex]
3. The pressure of the gas is directly proportional to the temperature and inversely proportional to its volume.
A. Write the variation equation.
Let P = Pressure , V = Volume and T = Temperature
The equation is
[tex]\rm P \; \alpha \; \dfrac{T}{V}........(3.1)[/tex]
B. What will happen to the pressure if the volume is reduced to half and the temperature is doubled?
Since the temperature is doubled and volume is halved so putting 2T and and volume V/2 in equation (3.1) we get
[tex]\rm P \; \alpha \; \dfrac{4T}{V}[/tex]
So the values of new pressure become 4 times the value.
4. Given the equation y = k ma, where k is the constant of variation, which of the following
statements are TRUE or FALSE.
A. y and r varies directly.
B.y and q are directly proportional
C.y and pq2 varies jointly
D. p and r are inversely proportional
E. y and p varies directly.
It seems that Question 4 has an ambiguity since the equation y = k ma
does not signifies any of the option
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EASY POINTS ASAP:
The table shows a function. Is he function linear or nonlinear ?
WRITE AN EQUATION THAT MODELS EACH STATEMENT :
John is five years more than twice as old as his sister :
Step-by-step explanation:
Take John's sister's age as "x"
So, so twice his sister's age means = 2x
And 5 years more, means = 2x + 5
So finally John's age = 2x + 5
Answer:
y=2x+5
Step-by-step explanation:
What are three ways a seed can be taken from one place to another?
Answer:
The most common methods are wind, water, animals, explosion and fire. Dandelion seeds float away in the wind.
Step-by-step explanation:
Because plants cannot walk around and take their seeds to other places, they have developed other methods to disperse (move) their seeds.
Answer:
Seeds with wings
Hitchhikers
Going with the flow
help from animals
Step-by-step explanation:
divide round and nearest hundredths place 4.05 / 0.07
Answer:
divide round and nearest hundredths place 4.05 / 0.07 the answer would be:
57.86
Np.
Circle C has radius 5 and center C(6,-2). What is the equation of circle C ?
The equation of the circle C is [tex](x-6)^{2}+(y+2)^{2} =25[/tex]
Equation of a circle
The equation of a circle is [tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex] where r is the radius and (h,k) is the center of a circle.
How to find the equation of a circle for the given condition?The radius of a circle is 5.
Also, the center of a circle is (h,k) = (6,-2)
So, the equation of a circle is [tex](x-6)^{2}+(y-(-2))^{2} =5^{2}[/tex]
Simplify further the above equation.
[tex](x-6)^{2}+(y+2)^{2} =25[/tex]
Thus, the equation of the circle C is [tex](x-6)^{2}+(y+2)^{2} =25[/tex]
Hence, option (D) is correct.
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Pls helpppp what’s the y in the solution
Answer:
Y axis
Step-by-step explanation:
Answer:
Y axis
Step-by-step explanation:
Out of 80 students, 26 are bus riders. What percent of students ride the bus?
Answer:
32.5%
Step-by-step explanation:
26/80*100
0.325*100
32.5%
Hope this helps. Have a nice day you amazing bean child.
Express in the form n : 1.
Give n as a decimal.
6:4
Answer:
[tex]Ratio = 1.5 : 1[/tex]
Step-by-step explanation:
Given
[tex]Ratio = 6 : 4[/tex]
Required
Express as [tex]n : 1[/tex]
[tex]Ratio = 6 : 4[/tex]
Divide ratio by 4
[tex]Ratio = 6/4 : 4/4[/tex]
[tex]Ratio = 6/4 : 1[/tex]
Express 6/4 as 1.5
[tex]Ratio = 1.5 : 1[/tex]
Hence, the equivalent of [tex]6:4[/tex] is [tex]1.5 : 1[/tex]
(-1,-4) and (3, -4) slope intercept equation
Answer: y = 0 - 4
Step-by-step explanation:
In a cookie jar containing 6 chocolate chip cookies, 8 wafer cookies and 10 double chocolate cookies, what is the probability that a person who isn't looking when they get a cookie will get a chocolate chip cookie?
Answer:
25% chance
Step-by-step explanation:
Which expression is equivalent to - 2/3 (6x + 15) ?
A.
4x + 10
B.
4x – 10
C.
-4x - 10
D.
- 4x + 10
Answer:
-4x - 10
Step-by-step explanation:
Given the expression -2/3(6x+ 15)
Open the bracket
-2/3(6x+ 15)
= -2/3 (6x) -2/3(15)
= -2(2x) - 2(5)
= -4x - 10
hence the equivalent expression is -4x - 10
Jessica borrows $1500 at 7% simple interest per week. If she ends up owing $2235, how may weeks did it take her to pay back the loan?
a. 6
b. 7
c. 8
d. 9
e. 10
Answer:
7 Weeks
Step-by-step explanation:
Each week is 105 because 1500*.07=105
Then through the process of elimination I found it would take 7 weeks.
Tristan has already taken 18 pages of notes on his own, and he will take 1 page during each
hour of class. In all, how many hours will Tristan have to spend in class before he will have
a total of 31 pages of notes in his notebook?
Please help like please, please 30 PTS to anyone that gets it correct+ plus brainly
Answer:
2 and 1/2
Step-by-step explanation: