Answer: [tex]y=2x+7[/tex]
Step-by-step explanation:
Let's introduce couple variables [tex]m_{1}[/tex] (slope of your equation) and [tex]m_{2}[/tex] (slope of the equation we need to find.
Parallel lines have the same slope, therefore: [tex]m_{1} = m_{2}[/tex], where [tex]m_{1}=2[/tex] and this means that [tex]m_{2} = 2[/tex] as well.
Given that we will use point-slope equation form with the point (0,7):
[tex]y-y_{1} =m(x-x_{1} )\\[/tex] where [tex](x_{1}, y_{1} )[/tex] is the point
Let's substitute:
[tex]y-7=2(x-0)\\[/tex]
And calculate:
[tex]y-7=2x\\[/tex]
Now we just need to isolate [tex]y[/tex] by subtracting 7 from both sides:
[tex]y=2x+7\\[/tex]
That's it!
Here's the graph to show the results:
Grace buys notebooks at a price of four for $5 and sells them at a price of three for $6. How many notebooks must she sell in order to make a profit of $120
Answer:
125 I think
I'm a lil slow
Grace needs to sell 160 notebooks to make a profit of $120
What is an equation?Two algebraic expressions having the same value and the symbol '=' in between are called as an equation.
Given:
Grace buys notebooks at a price of four for $5.
Unit cost price,
= $5 / 4
= $1.25
And sells them at a price of three for $6.
Unit cost price,
= 6/3
= $2.
Profit = sales - cost
So, the equation,
120 = 2x - 1.25x
0.75x = 120
x = 120/0.75
x = 160
Therefore, 160 notebooks need to sell to maker profit of $120.
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12. A jet stream can move a particle of air
11 miles in 5 minutes. At this rate, how far
will the particle move in 1 hour?
(5 minutes = 1 hour) (Example 1)
Answer:
132 particles
Step-by-step explanation:
5 minutes = 11 miles
1 hour (60 minutes)
11*x = 11 x 60 = 660
11x = 660/5=132
The distance of a jet stream can move a particle of air 132 miles in 1 hour.
Here,
A jet stream can move a particle of air 11 miles in 5 minutes.
We have to find, The distance of particles move in 1 hour.
What is distance?
The length along a line or line segment between two points on the line or line segment.
Now,
A jet stream can move a particle of air 11 miles in 5 minutes.
5 minutes = 11 miles
Then, for 1 minute a jet stream can move a particle of air = 11 / 5 miles
Hence, In 1 hour ( 60 minutes) a jet stream can move a particle of air;
⇒ [tex]\frac{11}{5} * 60 = 132[/tex]
So, The distance of a jet stream can move a particle of air 132 miles in 1 hour.
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Name a point that is coplanar with points H, D, and A.
E
F
P
B
How to do problem 17
Kate collected a sample of monthly rents and recorded the following numbers:
$500, $525, $550, $600, $600, $750, $775, $800, $1350.
If Kate drops the unusually high rent of $1350 from the data set, which of the following would NOT be affected?
a.) The highest monthly rent
b.) The average monthly rent.
c.) The most frequent monthly rent.
d.) The spread of the monthly rents
The property that they would never be affected by is the most frequent monthly rent. Option C is correct.
Given that,
Kate collected a sample of monthly rents and recorded the following numbers: $500, $525, $550, $600, $600, $750, $775, $800, $1350. Kate drops the unusually high rent of $1350 from the data set, which of the following would not be affected is to be determined.
The statistic is the study of mathematics that deals with relations between comprehensive data.
Here,
If the rent of $1350 is dropped by Kate, definitely affect the average, highest monthly rent, and the spread of the monthly sheet, but it won't affect the most frequent monthly of rent because the most frequent rent is $600.
Thus, the property that they would never be affected by is the most frequent monthly rent. Option C is correct.
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i need the answers for all three of those
Answer:
1) = -10
3) = 4
Step-by-step explanation:
Chow,...!
30 points!
You start at (-2, 2). You move left 3 units and right 10 units. Where do you end?
Answer:
The answer is (5, 2)
Step-by-step explanation:
I. If move left = -x
move right = +x
So -2 - 3 = -5 => move left
-5 + 10 = 5 => move right
I suggest that move left and right is x cordinate
The answer is (5,2)
Is that correct?
real life example of a ray
sun ray in space with the sun being the endpoint
WHOEVER ANSWERS FAST AND CORRECT GETS BRAINLIEST! (PICTURE INCLUDED)
Write an algebraic expression for 4 more than 3 times a number. (5 points) Part B: Write a verbal expression for 2(n + 9). (5 points)
Answer:
2n+18
Step-by-step explanation:
2xn=2n
2x9=18
2n+18
Answer:
A) 3x+4
B) Twice of sum of a number and 9.
Write the scientific notation for 127.5. Please! And tell me how so I can learn too.
PLS HELPP , i tried solving this and i wrote 56 but it was wrong so i don’t know anymore pls pls help
Answer:
y = 68
A = 44
Step-by-step explanation:
No matter what may be true, that doesn't look like an a to me.
x = y = 68 x and y are opposite equal sides and are therefore =.
68 + 68 + A = 180 all triangles are 180 degrees.
136 + A = 180 Subtract 136 from both sides
A = 180 - 136
A = 44
Simplify: show all your steps 30 POINTS!
Suzie determined the range of a quadratic function to be y ≤ –5. Choose the correct interval notation.
The range of equation is
interval :(-5, ∞)interval :[-5, ∞)interval: (-∞, -5)interval: (-∞, -5]What is interval?A interval is a set of real numbers that contains all real numbers lying between any two numbers of the set.
Given function : y ≤ –5
if, y > -5 then,
interval :(-5, ∞)
if y ≥ -5 then
interval :[-5, ∞)
if y < -5 then
interval: (-∞, -5)
if y ≤ -5 then
interval: (-∞, -5]
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Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.) {-4, 8/3, -16/9, 32/27, -64/81, . . . } an =
Step-by-step explanation:
a1 = -4 = -4/1, a2 = 8/3
r = a2/a1 = (8/3) / (-4/1) = -2/3
the formula :
an = a1. r^(n-1)
so,
an = (-4). (-2/3)^(n-1)
Step-by-step explanation:
[tex]-4, \dfrac{8}{3}, -\dfrac{16}{9}, \dfrac{32}{27}, -\dfrac{64}{81},..., (-1)^n\dfrac{2^{n + 1}}{3^{n - 1}}, ...[/tex]
1.What is the number?
The number is not an odd number
It has exactly four factors
If you reverse the digits, a prime number is formed
The sum of the digits is a two digit prime number
The number is less than the square root of 10^4
One of the digits is a square number
Prime number or u also can write palindromic number
Answer:
15647569
Step-by-step explanation:
1+1
The expression 1/x+y
is equal to which quantities?
(1/x) + y
1/x + y
1/(x + y)
The equivalent form of the given expression is 1 /(x + y)
The given expression:
[tex]\frac{1}{x+y}[/tex]
To find:
the equivalent form of the expression:The equivalent form of the expression can be written as follows:
[tex]\frac{1}{x+y} = 1 /(x + y)[/tex]
For example, if x = 1 and y = 2, the inverse of the expression can be written as;
[tex]\frac{1}{x + y} = \frac{1}{(1 + 2)} = \frac{1}{3}[/tex]
Also, if x = 2 and y = 3, the inverse of the expression can be written as;
[tex]\frac{1}{x + y} = \frac{1}{(2 + 3)} = \frac{1}{5}[/tex]
Thus, the equivalent form of the given expression is 1 /(x + y)
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Please help me with number 2?
Answer:
y= 2× +4
Step-by-step explanation:
Slope intercept form y = mx +b
4x -2y = -8
-2y = -4x-8
y = 2x +4
slope = 2x
y intercept = 4
Multply 7/8 to 2-1/3
Answer:
17/12
Step-by-step explanation:
7/8 x 2-1/3
7/4-1/3
17/12
2. Which type of variation is represented by the following equation?
indirect variation
Verification
[tex]\\ \rm\Rrightarrow s\propto \dfrac{1}{y}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{s_1}{t_2}=\dfrac{s_2}{t_1}[/tex]
[tex]\\ \rm\Rrightarrow s_1t_1=s_2t_2[/tex]
Answers Please i gave the most amount of points i could!!!
Answer:
its c
Step-by-step explanation:
chose all that apply
Answer:
Rational
Integer
Step-by-step explanation:
B AND C NOT SURE IF ITS CORRECT
What is a rational number between 1/3 and 1/9?
Answer:
1/4
Step-by-step explanation:
its 0.25 which is rational. and its between the two.
There are five boys to every three girls in an introductory chinese course. If there are 384 students enrolled in the course. how many are boys?
HELPPPP! PLEASEEEEE!
A mountain climber ascends a mountain to its peak. The peak is 10,740 ft above sea level. The climber then descends 400 ft to meet a fellow climber. Find the climber's elevation above sea level after meeting the other climber.
A. 10,740 ft above sea level.
B. 10.340 ft above sea level.
C. 11,140 ft above sea level.
D. 400 ft below sea level.
Answer:
10,340 ft
Step-by-step explanation:
the peak is 10,740 ft and since the climber is at the peak, that's their elevation.
he goes down 400 ft so its 10,470 - 400 which is 10,340
Answer:
B. 10,340
Step-by-step explanation:
The peak is 10,740, since they descend 400, it is subtraction. 10,740 - 400 is 10,340.
Describe how the graph y = 2x is the same and different from the graph
y = 2x + 7. Explain or show your reasoning.
Answer:
The slope is the same, whereas b is the y-intercept on the graph, so the y=2x+7 line would be on 7 on the y-axis
Step-by-step explanation:
4/8 divided by 4/6
thank you for your answer
Answer:
[tex] \frac{3}{4} [/tex]
Step-by-step explanation:
[tex] \frac{4}{8} \div \frac{4}{6} [/tex]
[tex] \frac{4}{8} \times \frac{6}{4} [/tex]
[tex] \frac{1}{4} \times 3[/tex]
[tex] = \frac{3}{4} [/tex]
Hi fellow Army^^
if a metalic cylinder having volume 18cm3 is melted to form a hemisphere. find the radius of the hemisphere.
Answer:
R = 2.05 cm
Step-by-step explanation:
Volume of a hemisphere
V = ½(4/3)πR³ = (2/3)πR³
18 = (2/3)πR³
R³ = 27/π
R = 2.04835218...
George has $15. He tries to buy a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each) but he does not have enough money. Look at the numerical expression George used: 15-9+2.65+1.35+2(1.74)
Why does George need to fix the expression?
George needs to fix the expression because if you did the equation as is, it wouldn't subtract the added value from 15.
George always requires $1.48.
How to estimate the value of the expression?The order of operations exists as a law that tells the correct sequence of measures for considering a math expression. We can determine the mandate utilizing PEMDAS: Parentheses, Exponents, Multiplication, and Division (from left to right), Addition, and Subtraction (from left to right).
Given: George tries to purchase a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each)
9 + 2.65 + 1.35 + 1.74 + 1.74 = 16.48
Subtract 15 to 16.48
15 - 16.48 = 1.48
George always needs $1.48.
Therefore, the proper answer is $1.48.
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You and your family are planning a vacation of a lifetime around the world that will cost $25,000. You borrowed this amount from your bank with an annual interest rate of 10.5%. You decided to pay it back in 5 years. What is the interest that will accrue on this loan?
$3,125.00
$131,250
$13,125.00
$312.50
Answer:
$13,125
Step-by-step explanation:
The value of the interest that will accrue on this loan will be;
⇒ $13,125
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that;
You and your family are planning a vacation of a lifetime around the world that will cost $25,000.
And, You borrowed this amount from your bank with an annual interest rate of 10.5%.
Now,
Since, You borrowed this amount from your bank with an annual interest rate of 10.5%.
Hence, The total interest amount after five years is,
⇒ 5 × (10.5% of $25,000)
⇒ 5 × (10.5/100 × 25,000)
⇒ 5 × 2,625
⇒ $13,125
Thus, The total interest amount after five years = $13,125
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3. Write a word phrase using 10x(14+11)
Answer:
10 multiplied by the sum of 14 and 11
Step-by-step explanation:
[tex].[/tex]