Answer:
y=3x+5
Step-by-step explanation:
y-y1=m(x-x1)
y-5=3(x-0)
y-5=3(x)
y-5=3x
y=3x+5
Note that the slope intercept form is y=mx+b where m=slope and b=y-intercept.
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Sarah has 150 marbles. Of the marbles, 2/5 are blue, 3/10 are clear, and the rest are green. What is the ratio of blue marbles to clear marbles to Green marbles in simplest form?
Answer:
4 : 3 : 3
Step-by-step explanation:
2/5 of 150 = 300/5 or 60; therefore, there are 60 blue marbles
3/10 of 150 = 450/10 or 45; therefore, there are 45 clear marbles
150 - (60 + 45) = number of green marbles; there are 45 green marbles
Blue : Clear : Green ratio is 60 : 45 : 45 or 4 : 3 : 3
How many angles are formed with a pair of parallel lines and a transversal
Answer:
what i learned was 8 are formed
Step-by-step explanation:
Solve x/2 - 8 = y for x
Answer:
B) x=2y + 16
Step-by-step explanation:
First, you'd multiply the x/2 by 2 to get x by itself.
You do the same throughout the whole equation.
Then isolate the x by getting rid of the -16 to the other side by adding 16
Your final answer should be:
B) x=2y + 16
The value of x for the given equation x/2 - 8 = y will be x = 2y + 16 thus option (B) is correct.
What is the equation?A formula known as an equation uses the same sign to denote the equality of two expressions.
In another word, the equation must be constrained with some constraints.
As per the given equation,
x/2 - 8 = y
Add 8 both sides,
x/2 - 8 + 8 = y + 8
x/2 = y + 8
Multiply by 2 both sides,
x/2 × 2 = (8 + y) × 2
x = 2y + 16
Hence "x = 2y + 16 will be the value of x in the equation x/2 - 8 = y".
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how to factorize 5x^2-20y^2
Answer:
Step-by-step explanation:
[tex]5x^2-20y^2\\=5(x^{2} -4y^2)\\=5[x^{2} -(2y)^2]\\=5(x+2y)(x-2y)[/tex]
Answer:
Step-by-step explanation:
Need someone to help me with this
What is the domain of f(x) = (x + 2)2 – 1?
Simplify
[tex]\\ \tt\Rrightarrow f(x)=(x+2)^2-1[/tex]
[tex]\\ \tt\Rrightarrow f(x)=x^2+4x+2-1[/tex]
[tex]\\ \tt\Rrightarrow f(x)=x^2+4x+1[/tex]
The Domain is set of all real numbers
[tex]\\ \tt\Rrightarrow Domain\in R[/tex]
2 x 3 2 x 7 = what Prime Factorization ?
A. 42
B. 84
C. 126
D. 252
Answer:
It's B
And Prime Factorization is when 2 numbers have the same answer.
Example: 3x8=24 and 4x6=24
Step-by-step explanation:
A bag has 25 beads in it.the probability of picking a white bead is 3/5.how many white beads are in the bag
x+y=5
x-1=y
Please help
Luis made an error when he used the distributive property to write an equivalent expression.
Which sentence describes the error?
35x−15====(5⋅7)−(5⋅3)5(7−3)5(4)20
Answer:
35x does not equal 5 times 7Step-by-step explanation:
The second step ''(5 × 7) - (5 × 3)'' has an error.
Given that;
Luis made an error when he used the distributive property to write an equivalent expression.
Here the expression is,
35x - 15
It can be written as;
(5 × 7)x - (5 × 3)
Take 5 as common,
5 (7x - 3)
Therefore, the second step ''(5 × 7) - (5 × 3)'' has an error.
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The area of a rhombus is 40 sq cm and one of its diagonals is 8 cm long. Find the length of the other diagonal.
Answer: The length of the other diagonal is 10 cm...
So the diagonal formula is - 1/2* (d1*d2) d1 is the first diagonal and d2 is the second diagonal.
So,
1/2 * (8*d2) = 40
8d2= 40*2
d2= 80/8
d2= 10
The area of a rectangular pool is 5628 m^(2). If the width of the pool is 67m, what is its length?
Answer: 84 m
Step-by-step explanation:
To find area, you multiply the width by the length ( A = L x W). Here, it is asking for the length, giving the area of the pool and the width. With this information, you can inverse operation ( division) to find the length of the pool. So:
5628 / 67 = 84
This tells us that the length of the pool is 87 meters. To check this answer, multiply 67 and 84. If it's equivalent to 5628, the given area, then 84 is indeed the length of the pool.
67 x 84 = 5628.
Thus, the length of the pool is 84 m.
A company that teaches self-improvement seminars is holding one of its seminars in Middletown. The company pays a flat fee of $117 to rent a facility in which to hold each session. Additionally, for every attendee who registers, the company must spend $14 to purchase books and supplies. Each attendee will pay $15 for the seminar. Once a certain number of attendee register, the company will be breaking even. How many attendees will that take? What will be the company's total expenses and revenues?
Answers:
To reach the breakeven point, how many attendees will that take? 117
What will be the company's total expenses and revenues? $1755 for each
=============================================================
Explanation:
x = number of attendees
C(x) = cost function for the company
C(x) = 14x+117
This is because the company pays $14 per person, so x of them accounts for 14x dollars. Then we add on the flat fee of $117 to get 14x+117 dollars overall.
In contrast, the revenue is
R(x) = 15x
because each attendee brings in $15 for the company
The breakeven point is when the cost and revenue are the same. This produces a profit of $0.
R(x) = C(x)
15x = 14x+117
15x-14x = 117
x = 117
If 117 people attend the seminar, then the company breaks even.
To check this, we'll compute the cost and revenue
C(x) = 14x+117
C(117) = 14*117+117
C(117) = 1755
R(x) = 15x
R(117) = 15*117
R(117) = 1755
The cost and revenue is $1755 for each. Because we get the same value, this confirms the correct x value.
Since 117 people is the breakeven point, the company should aim for an attendee count above this, so they can get a positive profit. At some point, there is a max capacity so x can't go up forever.
A truck left a station at 6:00am traveling at a rate of 45km/h. A van left the same place 2 hours later heading in the same direction at a rate of 54km/h. At what time will the van catch up with the truck?
The Van would catch up with the truck at 6:00 pm
Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Let us say the van catch up with the truck after t hours at a distance d.
For the truck:
45 = d/t
d = 45t
For the Van:
54 = d / (t - 2)
d = 54t - 108
45t = 54t - 108
9t = 108
t = 12 hours
The Van would catch up with the truck at 6:00 pm
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Answer:
The Van would catch up with the truck at 6:00 pm
Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Let us say the van catch up with the truck after t hours at a distance d.
For the truck:
45 = d/t
d = 45t
For the Van:
54 = d / (t - 2)
d = 54t - 108
45t = 54t - 108
9t = 108
t = 12 hours
The Van would catch up with the truck at 6:00 pm
Consider the figure below. Write the equation of the line of reflection.
_____ = ______
Answer:
y = 0
Step-by-step explanation:
Bailey and Elena compete in a swim race. Their times are
shown below.
Round each time to the nearest whole second. Then estimate how
many seconds Bailey won the race by.
50-m Freestyle Results
Time
Swimmer
(seconds)
Bailey 35.78
DONE
Elena
39.51
11
Complete
&
ty
Answer:
3.7
Step-by-step explanation:
39.5 - 35.8 is 3.7
[tex]39.51=40\\ 35.78=36\\\\ 40-36=16 more seconds more than Bailey.[/tex]
if its any number from 5 and larger, you can round it up to a whole.
please answer!!!!!!!!!!!!!!!!!
Shania bought a $1,455 drum set on an installment plan. The Installment agreement included a 15% down payment and 18 monthly payments of $80.78 each
a. How much is the down payment
b. What is the total amount of the monthly payments?
c. What is the total cost of the plan?
d. What is the finance charge?
The down payment will be $218.25, the total amount of the monthly payments is $1454.04.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
Shania bought a $1,455 drum set on an installment plan.
The installment agreement included a 15% down payment and 18 monthly payments of $80.78 each
Down Payment = (15/100)x1444
= $218.25
The total amount of the monthly payment = $80.78x18
= $1454.04
Total cost of the plan = $1454.04 + $218.25
= $1672.29
Finance charge = $1672.29 - $1455
= $217.29
Thus, the down payment will be $218.25, the total amount of the monthly payments is $1454.04.
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I will give these ponts for free if u answer 100+100x100. (help me get brnliest)
Answer:
10,100
Step-by-step explanation:
100*100=10000+100=10,000
Write the fraction 35/42 simplest form
Answer:
5/6
Step-by-step explanation:
Solving Quadratic Equations by Factoring
Answer:
are those 4 all answers or are they separate?
Step-by-step explanation:
1 1/3 x 5 Multiply and answer with a mixed number in the simplest form.
Answer:
The answer is 55/3
Step-by-step explanation:
11 should be divided by 3 and 5 should be multiplied later..
pls help me answer this
Step-by-step explanation:
hope it would help you...
8:07, 8:58, ?, 10:43, 11:37
9:51
9:50
9:53
9:49
Answer:
9:50
Step-by-step explanation:
because, 8:07 ->8:58 +51
...+52
...+53
A pattern can either follow an arithmetic sequence, a geometric sequence or a user defined sequence.
The term that completes the sequence is (d) 9:49
The sequence is given as:
8:07, 8:58, ?, 10:43, 11:37
The above sequence follows an arithmetic sequence, and the common difference (d) is calculated using:
d = 8:58 - 8:07
This gives
d = 51 seconds
The missing term (which is the third term) is then calculated using:
T3 = 8:58 + 51 seconds
This gives
T3 = 9:49
Hence, the term that completes the sequence is (d) 9:49
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Describe the possible length of the third side of the triangle given that the links of the other two sides of 5 inches and 12 inches
___in.
Answer:
60
Step-by-step explanation:
your welcome
An exponential growth function has an asymptote of y = –3. Which might have occurred in the original function to permit the range to include negative numbers?
A whole number constant could have been added to the exponential expression.
A whole number constant could have been subtracted from the exponential expression.
A whole number constant could have been added to the exponent.
A whole number constant could have been subtracted from the exponent.
The right choice is: A whole number constant could have been subtracted from the exponential expression.
Let be an exponential function of the form [tex]y = A\cdot e^{B\cdot x}[/tex], where [tex]A[/tex] and [tex]B[/tex] are real numbers. A horizontal asymptote exists when [tex]e^{B\cdot x} \to 0[/tex], which occurs for [tex]B\cdot x \to - \infty[/tex].
For this function, the horizontal asymptote is represented by [tex]y = 0[/tex] and to change the value of the asymptote we must add the parent function by another real number ([tex]C[/tex]), that is to say:
[tex]y = A\cdot e^{B\cdot x} + C[/tex] (1)
In this case, we must use [tex]C = -3[/tex] to obtain an horizontal asymptote of -3. Thus, the right choice is: A whole number constant could have been subtracted from the exponential expression.
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Answer: C. A whole number constant could have been added to the exponent.
Step-by-step explanation: On Edge!
i wake up at 6:00 am gianna wakes up 35 minutes later john wakes up 7 minutes before gianna at what time does john wake up
Find the number of minutes Hohn wakes up after you:
35 minutes - 7 minutes = 28 minutes
6:00 am + 28 minutes = 6:28 am
John wakes up at 6:28am
Answer: 6:28am
Step-by-step explanation: If you wake up at 6 and Gianna wakes up 35 mins later then Gianna woke up at 6:35. If John wakes up 7 mins before Gianna the 35mins -7mins=28. So John woke up at 6:28 am.
I need these answers in 5 MINUTES PLZ HELP
Answer: 1. w=-30%
2. c=361
Step-by-step explanation: 1. 15+15=30 2. a looks the same size as c so c is 361 or same as a
3+2+6= what pls ls help
(6) Arrange the decimals in increasing order..
(a) 0.8, 0.25, 0.21
(b) 0.85, 3/4' 0.857
A) 0.21, 0.25, 0.8
B) 3/4, 0.85, 0.857
hope this is helpful!