Answer:
y= 1/4x -3
Step-by-step explanation:
point-slope form: y-y1=m(x-x1)
y-2=1/4(x-4)
y-2= 1/4x - 1
y= 1/4x - 3
The equation of a line in point-slope form with slope 1/4 and point (4, 2)
is y - 2 = (1/4)(x - 4).
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
The equation of a line is point-slope form is y - y₁ = m(x - x₁).
Given, Slope is 1/4 and has point (x₁, y₁) = (4, 2).
∴ The equation of the given line is y - 2 = (1/4)(x - 4).
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HELP!!!!!!!!!! I don't have much time
0.03 × n = 0.018 what does n equal?
pls answer I give brainliest
Answer:
0.6
Step-by-step explanation:
To find the answer, do 0.018 divided by 0.03 which equals 0.6
Hope this helps you!! :)
n= 0.6
Answer:n=0.6
Step-by-step explanation: you divide 0.03 on both sides which gives you the answer to n
Find measure of the angle - Please help for a test review today!!!
Answer:
same side interior angles
and we have parallel lines so
x+17+x+117=180°
HELP plz! and please explain! ty<3
Answer:
6f
Step-by-step explanation:
Combining like terms is easy. Just think it like this: 4+3-1, and add the f on later. That is 6, and add the f on and you get 6f. It's like adding variables.
Hope this helps plz mark brainliest if correct :D
In which of these situations do the quantities combine to make 0?
A. A car is filled with 10 gallons of gas. Half of the 10 gallons are then used on a day's drive
B. A rock climber goes 40 feet down into a valley. She then goes 40 feet up a cliff o C. Glenn spends $8 on a tutor, and then he spends $8 on a new book
D. A player in a game earns 5 points for getting an answer right. She then earns 5 points for making it around the board
Answer:
b
Step-by-step explanation:
only one that makes sense lol. a is only losing half 10-5= 5. c is spending $8 twicce so it goes to -$16. d earns 10 points
F(x)=2/3x+3
What is the value of f(12)?
Answer:
f=1/18x+1/4 x=-9/2+18f
z+17=7 solve the equation
Answer:
Hi mate,
Step-by-step explanation:
the answer is - 10
pls mark me as the brainliest
There is a spinner with 12 equal areas, numbered 1 through 12.. If the spinner is spun once, what is the probability that the result is a multiple of 3 or a multiple of 4
Answer:
[tex]\dfrac{1}{2}[/tex]
Step-by-step explanation:
Given that, spinner has 12 equal areas, so there are 12 possibilities of occurrences i.e. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
Multiples of 3 are: {3, 6, 9, 12}
Multiples of 4 are: {4, 8, 12}
To find the multiple of 3 or 4, we need to find the union of the above two sets.
Multiples of 3 or 4: {3, 4, 6, 8, 9, 12}
Number of multiples of 3 or 4 = 6
Formula for probability of an event E can be observed as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
Here, number of favorable cases are 6 and
Total number of cases are 12.
Therefore the required probability is:
[tex]P(\text{Multiple of 3 or 4}) = \dfrac{6}{12}\\P(\text{Multiple of 3 or 4}) = \bold{\dfrac{1}{2}}[/tex]
Marking brainless!! Explain how to solve this problem.
-5x + 12 > 32
Answer:
x < - 4
Step-by-step explanation:
-5x + 12 > 32
- 12 > - 12
-5x > 20
-5x/-5 < 20/-5
x < - 4
Determine whether the triangles are similar. If so, name the postulate or
theorem you used.
Find the missing length.
Plzzz help
the value of x that satisfies the equation 2/3x + 4 = 3/2(x-4) is?
Answer:
A solution to an equation is a value of a variable that makes the equation true. From the statement "Which value of x satisfies the equation", we need to understand that, we have to find the value of x from the given question.
Let us see some example problems based on the above concept.
Example 1 :
Which value of x is the solution of the equation
(2/3) x + (1/2) = (5/6) ?
Solution :
(2/3) x + (1/2) = (5/6)
(2x/3) + (1/2) = (5/6)
(4x + 3)/6 = (5/6)
Multiply 6 on both sides
4x + 3 = 5
Subtract 3 on both sides
4x + 3 - 3 = 5 - 3
4x = 2
Divide by 4 on both sides
4x/4 = 2/4
x = 1/2
Hence the value 1/2 will satisfy the above equation.
Example 2 :
Which value of x is the solution of the equation
(2/3) x + (x/6) = 5 ?
Solution :
(2x/3) + (x/6) = 5
(4x/6) + (x/6) = 5
(4x + x)/6 = 5
5x/6 = 5
Multiply by 6 on both sides
5x = 5 (6)
5x = 30
Divide by 5 on both sides
x = 30/5 = 6
Hence the value 6 will satisfy the above equation.
Example 3 :
The number of people on the school board is represented by x. Two subcommittees with an equal number of members are formed, one with (2x/3) − 5 members and the other with x/4 members. How many people are on the school board?
Solution :
From the above question, we come to know that we have to solve for x, that makes the statement true.
(2x/3) − 5 = x/4
(2x - 15)/3 = x/4
Multiply 3 on both sides
2x - 15 = 3x/4
Multiply by 4 on both sides
4(2x - 15) = 3x
8x - 60 = 3x
Subtract 3x on both sides
8x - 3x - 60 = 0
5x - 60 = 0
Add by 60 on both sides
5x - 60 + 60 = 0 + 60
5x = 60
Divide by 5 on both sides
x = 60/5
x = 12
Example 4 :
What is the value of x in the equation
(x − 2)/3 + 1/6 = 5/6 ?
Solution :
(x − 2)/3 + 1/6 = 5/6
(2(x - 2) + 1)/6 = 5/6
multiply by 6 on both sides
(2x - 4 + 1) = 5
2x - 3 = 5
Add 3 on both sides
2x - 3 + 3 = 5 + 3
2x = 8
Divide by 2 on both sides
x = 8/2
x = 4
Step-by-step explanation:
A dress is on sale for d dollars. The regular price is 3 times as much.
Janine has enough money to buy 2 dresses at the regular price.
How many dresses can Janine buy at the sale price?
A.
1 dress
B.
3 dresses
C.
6 dresses
D.
9 dresses
Answer:
6
Step-by-step explanation:
hope this helps, have a good day
Solve for x: 2/5 (X-4) = 2x
Use trigonometric identities to solve each equation within the given domain.
a) –sin^2(x) = cos(2x) from [–π, π]
b) 3 tan(x) = 2 sin(2x) from [0, 2π)
c) sec(x) cos(3x) = 0 from [–pi/2,pi/2]
d) 1 – cos(x) = 2 – 2 sin^2(x) from (–π, π)
e) 4cos^4(x) – 5cos^2(x) + 1 = 0 from [0, 2π)
Answer:
A) X=pi/2 or X=-pi/2
B) X=pi/6 or X=-pi/6
C) X=pi/4 , 3pi/4, 5pi/4 and 7pi/4
D) X= 1-cos^2(x/2)
E) X= pi/3 +2pi N, 5pi/3+2pi N
Step-by-step explanation:
Don't even bother asking. :)
Your distance from lightning varies directly with the time it takes you to hear thunder. If you hear thunder 10 seconds after you see the lightning, you are about 2 miles from the lightning. Write the equation for the given situation in its simplest form. a y= 10x+2 b y=1/5x c y=2x+10 d y=5x
Answer:
y = 1/5x
Step-by-step explanation:
Here, we have a direct relationship between the distance from lightning and the time it takes to hear thunder
Let the distance from lightning be y and the time it takes to hear thunder be x
If k is the proportionality constant, then;
y = kx
Now, let’s calculate k , given x 10 seconds and y = 2 miles
2 = 10k
k = 2/10 = 1/5
So the equation for the given situation is;
y = 1/5x
At a grocery store, Mary bought five cans of corn and paid $1.50. Larry bought 8 cans of corn and paid $2.40. What is the constant of proportionality that relates to the cost per can?
Answer:
30 cents
Step-by-step explanation:
If you divide 1.50 by 5 you get .30 and if you divide 2.40 by 8 you also get .30 keep smiling, have a good day
The constant of proportionality that relates to the cost per can is $0.3.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, At a grocery store, Mary bought five cans of corn and paid $1.50.
Therefore, The cost of each can is,
= $(1.50/5).
= $0.3.
And, Larry bought 8 cans of corn and paid $2.40.
Therefore, The cost of each can is,
= $(2.40/8).
= $0.3.
So, The constant of proportionality is $0.3.
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A: There there are two pencils boxes in a desk for their own purposes in a drawer then total number of pencils in the drawer is more than 14 how many passes are in each drawer
B:
event is being built in the shape of a isosceles triangle the fence needs to be at least 14 yards long the length of the unequal sides of the triangle is 4 yards what is the length of each equal side
C: Sheyla is older than 14 years old. her brother Tom is 4 years old. Sheyla also has twin sisters, Diana and Briana. how old is each of the twin sisters.
D:a total of 14 students are being split into three teams team one has four students vs. students are split into two teams in three how many students are in each of two and three
Answer:
C
Step-by-step explanation:
I got it right
Molly and Jacob are meeting at the pool to go swimming. The pool is 3.22 kilometers from Molly's house and 2.81 kilometers from Jacob's house. How much farther does Molly live from the pool than Jacob? *
Answer:
cookie
Step-by-step explanation:
Question 6: CONSUMER MATH
Answer:
A. 18.99
Step-by-step explanation:
Times 75.95 by .25 and you get the amount taken off
******20 POINTS**********
Jada has a scale map of Kansas that fits on a page in her book. The page is 5 inches by 8
inches. Kansas is about 210 miles by 410 miles. Select all scales that could be a scale of
the map. (There are 2.54 centimeters in an inch.)
A. 1 in to 1 mi
B. 1 cm to 1 km
C. 1 in to 10 mi
D. 1 4 to 100 mi
E. 1 cm to 200 km
F. 1 in to 100 mi
G. 1 cm to 1000 km
A DVD player is on sale for 15% of the regular price of $135. After the
price reduction, a 5% sales tax is added.
How much will a customer pay?
Answer:
the correct answer would be 13.5
Find an integer x such that 2/3 < x/5 < 6/7
Answer:
Step-by-step explanation:
x=4. 2/3 is .6 6/7 is .85. 4/5 is .8. it fits perfectly in this inequality
Walter purchased a 2010 model sedan for $24,000. The dealership offered him a $199/month payment plan for 48 months, at the end of which the unpaid balance will be due. If the interest rate is 6%, find the total cost of this vehicle, including the balloon payment.
Answer:
199x48 = 9552
24000-9552=14448
14448 x- 6% = 866.88
14448+866.88= 15314.88
The overall payment is 24000+6%
Step-by-step explanation:
The total cost of the vehicle is $29760
What is Interest Rate ?The % at which a loan is given or the % at which your investment will give return is the Interest Rate.
It is given that
Walter purchased a 2010 model sedan for $24,000.
The dealership offered him a $199/month payment plan for 48 months,
Principal = $24000
Rate = 6%
Time =48 months = 4 years
The Simple interest =
24000 * 6 * 4 / 100
Interest = $5760
The payment done in 48 moths is
199 * 48 = $9552
The balloon payment due at the end of 48 months is 24000 + 5760 - 9552 = $20208
The total cost of the vehicle is $ 24000+ 5760 = $29760.
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Greeting cards (c) and gift bags (b) are the same price (p). Cassie purchased greeting cards and gift bags, the price of which can be expressed by p(c + b).
Select all the expressions that also represent the price of the greeting cards and gift bags.
A. pcb
B. pc + b
C. pc + pb
D. (b + c)p
Answer:
C...
Step-by-step explanation:
Equivalent expressions are expressions of the same value.
The equivalent expressions of p(c + b) are (d) (b + c){p) and (c) pc + pb
The expression is given as:
[tex]\mathbf{p(c + b)}[/tex]
Rewrite as:
[tex]\mathbf{p(c + b) = (b + c)p}[/tex]
Open brackets
[tex]\mathbf{p(c + b) = pc + pb }[/tex]
Hence, the equivalent expressions of p(c + b) are (d) (b + c){p) and (c) pc + pb
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PLEASEEEEEEEE HELPPPP MEEEEE
Tyler is going on a hiking trip. At the end of the first day he has 5,250 feet left to climb. He plans to climb 500 feet each day.
Write an explicit formula to model the situation.
Answer:500x=5,250
Step-by-step explanation:
He climbs 500 steps a day so the answer will be 500x=5250
What is the total surface area, in square feet, of the net shown below? HELP ME I GIVE BRIANEST ASAP
Answer:
408square feet is total surface area of given figure
Step-by-step explanation:
area of two triangle=120square feet
area of 2 outer rectangle=208square feet
area of inner rectangle =80square feet
sum of all shape=120+208+80=408square feet
Two times the sum of nine and a number is the opposite of 9.
Monica rode her bike 35 kilometers in 2.5 hours. What was her average speed
Answer:
14 kilometers
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
35÷2.5=14
have a goodnight
