is 4y=16x a Direct variation
In the given equation, as the value of y increase, the value of x also
increases.
Yes, 4·y = 16·x is a direct variationReasons:
A direct variation is a relationship that exists between two variables. It is
also known as a direct proportion which can be expressed as; y = k·x
Where k is a number
The given equation is 4·y = 16·x
Dividing both sides by 4 gives;
[tex]\displaystyle \frac{4 \cdot y}{4} = \frac{16 \cdot x}{4} = \frac{4 \times 4 \cdot x}{4}[/tex]
Which gives;
y = 4·x
Comparing the above equation with the equation for a direct variation gives;
y = 4·x
y = k·x
Therefore;
k = 4
The equation, y = 4·x, and therefore, the equation from which it is derived, 4·y = 16·x, is a direct variation.
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Max correctly starts solving the linear equation 1/2(x+8) = - 3 by writing x+8= - 6. Which of the following properties justifies what Max wrote?
1) The distributive property
2) The commutative property of addition
3) The addition property of equality
4) The multiplication property of equality
Adam works for an agency.
His normal hourly rate is £8.32
The agency asks Adam to work 6 hours for a new company.
Adam will be paid time and a third of his normal hourly rate.
How much will Adam get paid in total when working for the new company
Adam receives 13.762 euros
What is division?One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction.
Given
Adam normally earns 8.32 an hour.
1. 832 * 6 = 10.992 for 6 hours
Adam will be payed = 8.32 *1/3 = 2.77
Total payment = 10.992 + 2.77 = 13.762
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a video game system was on sale for $350. if the discount was 10% off, how much money did they take off the price?
Answer:
they took off 35$
Step-by-step explanation:
hope this helps
Answer:
$35
Step-by-step explanation:
10 divided by 350 = $35
16. The perimeter of a rectangular garden is 90 feet. The gardens lengin s5 feci less than 4 messen What are the length and width of the garden?
Suppose x and y are positive integers that satisfy the following equation: 7xy + 7y - 9x + 10 = 2019 Find the sum of x and y.
A. 15
B. 18
C. 21
D. 34
E. No possible values
Cost to cross the bridge(one-way): Truck (2 or 3 axles): $3.00 Truck (4 or 5 axles): $6.25 Truck (6 or more axles): $10.00. One morning, 3 trucks, each with 5 axles, and 1 truck with 8 axles, crossed the bridge in one direction. write a math problem and solve it to answer. HOW MUCH WAS THE TOLL FOR THE CROSSING OF THE BRIDGE.
Truck (2 or 3 axles): $3.00
Truck (4 or 5 axles): $6.25
Truck (6 or more axles): $10.00
Day1= 3 trucks with 5 axles and 1 truck with 8 axles passed the bridge
What we need to find:
Part a: an expression that represents the first passing of the 4 trucks and
a solution to the the first expression
Part b: a modification of first expression that includes the return passing of the 4 trucks and a solution for the trucks passing both times.
Part a:
3(6.25)+1(10.00)
3(6.25)+1(10.00)=$28.75
Part b:
2[3(6.25)+1(10.00)]
2[3(6.25)+1(10.00)]=2[28.75]=$57.50
From 7x^2+5xy-3y^2 subtract the sum of 2x^2+3xy-5y^2 and x^2-7xy-4y^2
Answer:
4x^2 +9xy +6y^2
Step-by-step explanation:
Combine like terms. I find it useful to factor out the variable part of the expression so I can see what coefficients are being combined.
7x^2+5xy-3y^2 - (2x^2+3xy-5y^2 + x^2-7xy-4y^2)
= (7 -2 -1)x^2 +(5 -3+7)xy +(-3 +5 +4)y^2
= 4x^2 +9xy +6y^2
PLS HELP!! Ill mark brainliest!
Answer:
120 cm^3
Step-by-step explanation:
1. 9 times 5 =45
2. 45 divided by 3 = 15
3. 15 times 8 = 120
A grocery store sells steak for $6.10 per pound. What would be the cost of 2 3/5 lb. of steak?
Answer:
$15.86
Step-by-step explanation:
Make 2 3/5 improper fraction (5 times 2 and add 3 equals 13)
13/5 times 6.1 ( or 6 1/10 or 61/10)
equals 793/50
divide
answer is 15.86
PLS SHOW ME HOW U GET THE ANSWER AND WILL GIVE BRAINLYEST
Answer:
38 degrees
Step-by-step explanation:
all triangles length added up are 180 degrees.
add 52 and 90 to get 142. Subtract to get 38 degrees.
Paula has $3,281 in a savings account that earns 8% interest, compounded annually.
To the nearest cent, how much interest will she earn in 1 year?
(compound interest Formula)
Answer:
$262.48Step-by-step explanation:
Given:
Saving amount P = $3281Interest rate r = 8% or 0.08Compound number n = 1Time t = 1 yearFind the total amount in 1 year:
[tex]I = P(1 + r/n)^{nt}-P[/tex][tex]I = 3281*(1 + 0.08/1)^{1*1} -3281 = 3281*1.08 - 3281= 3281*0.08=262.48[/tex]
23.2 x 0.14 can somebody help quick
Answer:
2.78
Step-by-step explanation:
you could have used a calculator
Answer:
23.2 times 0.14 is 3.248
Please help fast
5. A mixture of paint is prepared by combining /2 parts of yellow paint with % parts
of blue paint. In the following table, find the missing values.
Parts of yellow paint
Parts of blue paint
Total parts
1/2
3/4
1 1/4
1
4 1/2
8
Answer:
I need helpw with this is too
Step-by-step explanation:
Dividing 3/5 into what number gives you 20
Answer:
12
Step-by-step explanation:
Set up equation like this with x being the number
X / (3/5) = 20
X * (5/3) = 20
so multiply both sides by 3/5 so
X = 20 (3/5)
therefore,
X = 12
we can check to make sure this is right by plugging it back in:
12 / (3/5) = 20 so it is true
Suppose that 13 inches of a wire cost $.78 at the same rate how much in cents will 31 inches of wire cost
Answer:
1.86
Step-by-step explanation:
Important Info:
13 inches of wire cost = .78
Question to Answer:
How much in cents will 31 inches of wire cost?
Explanation/Solution:
Since, 13 inches of wire cost .78 then Find the Cost of 1 Inches..
To do that we have to Divide..
.78 ÷ 13
=
0.06
So, 1 Inches of Wire Cost 0.06.
Hence, 31 · 0.06
= 1.86
Therefore, 31 Inches of wire cost 1.86.
[ RevyBreeze }
Write an equation for the graph
Answer:
y=3x +4
Step-by-step explanation:
your y intercept is 4, go 3 down 1 across and that is the slope.
Evaluate
12: (2+2)
67
4
3
111
Help me and I will give u 20 points
Answer:
it is 27/16 or 1 11/16
Step-by-step explanation:
WILL GIVE YOU 50 POINT
Find M AFE.
Answer:
The answer is C
Step-by-step explanation:
25 + 57 + 34 = 116, so at least 116, not 116.
The angle is close to 90+45 = 135
assuming with this, the asnwer is C
Answer:
B. 173
Step-by-step explanation:
just add them all up! for DFE, BFC has the same sign, which i assume means it is the same thing
Can someone please take time out of their day and help me with this
what is the answer, A, B, D, or E? Please Let me know????
Answer:
B and D
Step-by-step explanation:
B -> -1.4z multipled by 40 is - 56z, 0.7 multipled by 40 is 28, thus giving us - 56z + 28.
D -> When we expand (8z - 4)(-7) we will get -56z + 28 as 8z multipled by - 7 is - 56z (remember positive times negative equals negative) and - 4 multipled by - 7 is 28 (negative times negative equals positive)
Samir sold 4 of his old Star Leaper video games at Trading Post Game Shop. Before he left, he spent $23.65 of his earnings on a controller. Samir had $6.35 remaining.
Which equation can you use to find the amount of money, v, Samir received for each video game? Also, can you solve for v?
The equation you can use to find the amount of money, v, Samir received for each video game is;
4v - 23.65 = 6.35 and v = $7.5
Algebraic word problemsSamir sold 4 oh his old star leaper video games.
He spent $23.65 of his earnings on a controller and has $6.35 left.If the amount received for each video game is v, the total cost of the 4 video games is; 4v
He spent $23.65 out of 4v and is left with $6.35Thus, this equation is;
4v - 23.65 = 6.35
Solving this gives;
v = $7.5
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the base of a 15 ft ladder is 12 feet from the base of a building. a 25 foot ladder rests against the building at the same angle. how high up the wall does the 25 foot ladder reach
Answer:
The ladder reaches [tex]15ft[/tex]
Step-by-step explanation:
In the first case we have
[tex]cos\theta =\frac{12}{15}[/tex]
In second case let the height be [tex]x[/tex]
We have
[tex]sin\theta =\frac{x}{25}[/tex]
We know that
[tex]cos\theta =\frac{12}{15}\\\\sin\theta =\sqrt{1-\frac{12^{2}}{15^{2}} } \\\\sin\theta =\sqrt{\frac{81}{225} } \\\\sin\theta =\frac{9}{15} }[/tex]
Substituting
[tex]\frac{9}{15} =\frac{x}{25}\\\\x=\frac{25\times9}{15} =15[/tex]
The ladder reaches [tex]15ft[/tex]
What is the domain and range
Answer:
Step-by-step explanation:
Domain means what x's are on this graph, or what x's can you put into this equation. Range means what y's are in this graph or what y's can you get out if this equation. For y=x you can literally put in any x and get out any y, so the domain and range are both all real numbers. I couldn't see the choices on your drop down and there's several ways to write "all real numbers" as an answer. The absolute value graph y=|x| is a V-shaped graph so again, you can put in any x, but you only get positive numbers out (and 0, if you input 0) so the range us just all the y's that are 0 and bigger. That is y>=0. Again, there are several ways to write that such as {y | y>=0} or [0, infinity symbol)
Solve the equation below for q.
V=1/4xq
Answer:
q=4v/x
Step-by-step explanation:
Brinda has come to her aunt's place and wants to play a game on the computer. The computer is shown in the figure. She presses the button marked A and is surprised to find that the computer starts immediately and there is already a file open. Which of the following is the best explanation of what happened?
Answer:
she clicks the file
Step-by-step explanation:
Student Council sponsors weekly dances at their school on Friday nights. The admission price for each person is $4 for Student Council members. Members pay an annual fee of $50 for membership dues.
A. Write a function that can be used to determine c, the total cost, for a member to attend n, number of dances a year.
B. How much will a member pay if they attend 15 dances during the school year.
1. Summarize the given situation in your own words. (What do you notice?)
2. Explain: What is the essential information you can use to find the solution?
3. Find the Solutions to parts A and B above. Show your thinking in the space below.
The total cost during a school year to attend a given number of daces is a
linear function of the number of dances attended.
The correct responses are;
Part A; The function for the total cost is; c = 50 + 4·nPart B; The total cost for attending 15 dances is; c = $1101. The initial cost is $50 and the rate is $42. The annual fee, the admission price, and the number of dances attended3. The solution are: Part A; c = 50 + 4·n, Part B; c = $110Reasons:
The given parameter are;
Admission price per person = $4
The annual fees members pay = $50
A. The function that can be used to determine c is a linear function, with a y-intercept (initial value) of 50 and a rate (slope) of 4
The total cost to attend n dances a year, c = 50 + 4·n
B. If a member attends 15 dances a year, we have;
n = 15
Therefore;
The total cost, c = 50 + 4 × 15 = 110
The total cost for 15 dances a year, c = $110
1. As the number of dances attended increase, the total cost increase, and the cost when no dance is attended by a member during the year is $50.
2. The essential information that can be used to find the solution are;
The admission price for each person.The annual fee for membership dues.The number of dances a member attends in a year.3. Part A; c = 50 + 4·n
Part B; c = $110
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x = 16 - 4y
3x + 4y =8
substitution method
Answer:
i think x = -4, y = 5
Step-by-step explanation:
x = 16 - 4y
3x + 4y = 8
3(16 - 4y)+4y = 8
48-12y+4y = 8
48-8y = 8
48-8 = 8y
40 = 8y
5 = y
so
x = 16 - 4y
x = 16 - 4(5)
x = 16 - 20
x = -4
Please anyone help me
Answer:
cant tell what ths says
Step-by-step explanation:
The students in Gwen's class got to choose between pizza and burgers for the celebration on
the last day of school. 28 students picked the pizza. If there are 35 students in all in Gwen's class, what percentage of the students picked the pizza?
Write your answer using a percent sign (%).
Answer:
80% of the class picked the pizza
Step-by-step explanation:
In order to find a percentage, you are supposed to divide the amount of how much someone has picked by the total amount (in this case pizza's). Here is how I got 80%,
28/35 = 0.8
0.8*100 = 80
So the answer is 80%