Answers
With the 3c, the total weighs 2.25 lb. That means:
3c + empty jug = 3c + 0.75 = 2.25
3c = 2.25 - 0.75
3c = 1.5
and 1c = 0.5 (so c is a constant -or the slope-)
Then the equation is:
y = 0.5x + 0.75
Related Questions
10 more than the quotient of a number and 8 is at least 12
Answers
A quotient of a number and 8 - X/8
10 more than that - + 10
Is at least 12 - >_ 12
X/8 + 10 >_ 12
>_ = greater than or equal to.
Write an inequality for the given statement: The sum of y and 20 is more than 50.
Answers
Hey!
Hope this helps...
~~~~~~~~~~~~~~~~~~~~~~~~
We know that we will be using the greater than symbol...
By know this we can assume that the start of the problem looks like this:
> 50
This is because the answer of said question MUST be greater than 50...
We also know that the question states "the sum of y and 20"
So... that will look like this:
y + 20
We also know that it says "the sum of y and 20 is more than 50", so we set that up like this:
y + 20 > 50
So the inequality for this is: y + 20 > 50
Chad bought 8 pounds of strawberries for $25.25. What is the cost, c, of 1 pound of strawberries?
Answers
In this case, you know that a number of strawberries (8 pounds) and the cost ($25.25). Then to find out how much the cost of 1 pounds strawberry you just need to divide the cost with 8. Since the unit used is all same(all use pounds), you don't need to do any conversion. The calculation would be:
$25.25 / 8 = $3.15625
***PLEASE HELP*** ***50 POINTS***
Construct a system of two linear equations where (−2, 3) is a solution to the first equation but not to the second equation, and where (5, −2) is the solution to your system.
You need to write the equations of your system and graph them on the same graph.
Explain how your graph shows that your system satisfies the 2 required conditions.
Answers
see attached picture:
Find the equation in standard form of the line with slope − 4 7 -47 that passes through the point ( 2 , 5 ) (2,5)
Answers
y = mx + b
where m = the slope
b = y-intercept
The slope is -47, therefore
y = -47x + b
The line passes through (2,5), therefore
-47*2 + b = 5
-94 + b = 5
Add 94 to each side.
b = 5 + 94 = 99
The equation is y = -47x + 99
Answer: y = -47x + 99
Which expression means 7 more than a number?
A.
d × 7
B.
d + 7
C.
d ÷ 7
D.
d – 7
Answers
whenever you hear a seven (or any other number) MORE THAN, think of adding that number!
Hope this helps :)
A box has dimensions of 17 inches long 1.3 feet wide and 8 inches high what is the volume of the box the formula of the volumes is v=l•w•h
Answers
Factor polynomial 2x^2-11x+15
Answers
2x^2-11x+15
x^2-11x+30
(x-6)(x-5)
(x-6/2)(x-5/2)
(x-3)(2x-5)
Final answer: (2x-5)(x-3)
━━━━━━━☆☆━━━━━━━
▹ Answer
(2x - 5) * (x - 3)
▹ Step-by-Step Explanation
2x² - 11x + 15
Rewrite:
2x² - 5x - 6x + 15
Factor:
x(2x - 5) - 6x + 15
x(2x - 5) - 3(2x - 5)
Factor:
(2x - 5) * (x - 3)
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
A right triangle has exterior angles at each of its acute angles with measures in te ratio 13:14. find the measures o the two acute angles of the right triangle.
Answers
The equation that would allow us to determine the values of the angles are,
13x + 14x = 270
x = 10
The exterior angles are 130 and 140°. The exterior angle and the interior angle always add up to 180°.
Interior angle 1: 180° - 130° = 50°
Interior angle 2: 180° - 140° = 40°
Therefore, the measures of the two acute angles of the triangle are 50° and 40°.
Find an equation of the line that satisfies the given conditions. through (−5, −13); perpendicular to the line passing through (−2, −1) and (2, −3)
Answers
HIJK is a rectangle. Find the value of x and the length of each diagonal. HJ=x and IK= 2x-7
Answers
By definition of rectangle, the diagonals are congruent or equal.
HJ=IK
x=2x-7
-x+x=2x-x-7
0=x-7
0+7=x-7+7
7=x and 2x-7=2 (7)-7=14-7=7
Diagonals are equal and are equal to 7
The value of x will be equal to 7 for the two diagonals HJ and IK.
What is geometry?Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position. A geometer is a mathematician who works in the field of geometry.
Given that the length of each diagonal is HJ=x and IK= 2x-7
HJ and IK are diagonals.
By definition of the rectangle, the diagonals are congruent or equal.
HJ=IK
x=2x-7
-x+x=2x-x-7
0=x-7
0+7=x-7+7
7=x and 2x-7=2 (7)-7=14-7=7
For the two diagonals, the value of x is 7.
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Can you write a linear inequality whose solution contains only points with positive x-values and y-values? why or why not?
Answers
Yes, a linear inequality can be written whose solution contains only points with positive x-values and y-values.
Explanation:A linear inequality is a mathematical statement that expresses a relationship between two linear expressions using inequality symbols (>, <, ≥, or ≤). It describes a region of values that satisfy the inequality, often represented on a coordinate plane as a shaded area.
Yes, a linear inequality can be written whose solution contains only points with positive x-values and y-values. One example of such an inequality is y > 0. This inequality represents all the points above the x-axis in the coordinate plane, where both x-values and y-values are positive.
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The length of a rectangle is twice its width. if the area of the rectangle is 162 m2 , find its perimeter.
Answers
A = L * W
A = 162
162 = 2W(W)
162 = 2W^2
162/2 = W^2
81 = W^2
sqrt 81 = W
9 = W
L = 2W
L = 2(9)
L = 18
P = 2(L + W)
P = 2(18 + 9)
P = 2(27)
P = 54 <===== perimeter is 54 m
The width of the rectangle is 9m and the length is 18m. The perimeter of the rectangle is 54m.
Explanation:Let's assume the width of the rectangle as 'w'. According to the given information, the length would be twice the width, so the length can be represented as '2w'.
The formula for the area of a rectangle is length multiplied by width, which can be written as 'A = lw', where 'A' is the area. By substituting the given area value of 162m2, the equation becomes '162 = 2w * w'.
Solving this equation, we get 'w = 9m' which represents the width. The length can be found by doubling the width, so the length is '2 * 9m = 18m'.
The perimeter of a rectangle can be calculated using the formula 'P = 2(l + w)', where 'P' is the perimeter, 'l' is the length, and 'w' is the width. Plugging in the values, the perimeter of the rectangle is 'P = 2(18m + 9m) = 54m'.
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What is the common term for the set of all points with x- coordinate zero?
A. X axis
B. Y axis
C. Coordinate plane
D. Origin
Answers
Can someone help me with 11? I’m confused on how to solve for the rest of the problem. I don’t know how to get rid of the 3
Answers
Use the slip and slide method:
Multiply a by c.
x^2-7x+6
Factor
(x-1)(x-6)
Divide the two factors by the a value and simplify.
(x-1/3)(x-6/3)
(x-1/3)(x-2)
Put any remaining denominators at the beginning of the binomial.
(3x-1)(x-2)
Final anwer: (3x-1)(x-2), Roots= 1/3, 2
The line segments are translated 2 units to the left to form J′K′ and M′N′. Which statement describes J′K′ and M′N′?
Answers
Answer:
Step-by-step explanation:
the line segments J'K' and M'N' do not intersect and are the same distance apart as JK and MN.
if a right triangle has side lengths x + 9, x + 2, x + 10 is the hypotenuse, find the value of x
Answers
To determine the value of x for the right triangle, we applied the Pythagorean theorem to the side lengths and solved the resulting quadratic equation, revealing x to be -1.
Explanation:To find the value of x for the side lengths of a right triangle with side lengths x + 9, x + 2, and x + 10 as the hypotenuse, we use the Pythagorean theorem, which states that in a right triangle, a² + b² = c², where c is the length of the hypotenuse and a and b are the lengths of the two other sides.
Here's the step by step solution:
Write the Pythagorean theorem with the given side lengths: (x + 2)² + (x + 9)² = (x + 10)².Expand the squares: x² + 4x + 4 + x² + 18x + 81 = x² + 20x + 100.Combine like terms and move all terms to one side: x² + 22x + 85 = 0.Solve the quadratic equation, which yields x = -1 or x = -85. However, since side lengths cannot be negative, the only logical value of x is -1.
Final answer:
To find the value of x in a right triangle with sides x + 9, x + 2, and hypotenuse x + 10, the Pythagorean theorem is used. After applying the theorem, we simplify and solve the resulting quadratic equation, which gives us a positive value of x = 3.
Explanation:
The student is asking how to find the value of x in a right triangle with sides x + 9, x + 2, and x + 10, where x + 10 is the hypotenuse. To solve this problem, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².
For this particular triangle:
Identify the legs and the hypotenuse of the triangle: Leg 1 is x + 9, Leg 2 is x + 2, and the Hypotenuse is x + 10.Apply the Pythagorean theorem: (x + 9)² + (x + 2)² = (x + 10)².Simplify and solve for x. Expand the squares: x² + 18x + 81 + x² + 4x + 4 = x² + 20x + 100.Combine like terms and move all terms to one side of the equation:(2x² + 22x + 85) - (x² + 20x + 100) = 0x² + 2x - 15 = 0Factor the quadratic equation: (x + 5)(x - 3) = 0Find the possible values for x: x = -5 or x = 3. Since a side length can't be negative, the value for x must be 3.Therefore, the value of x is 3.
What is m∠D ?
Enter your answer in the box. __°
Answers
Answer
Find out the m∠D .
To proof
In Δ ABE
∠EAB + ∠ABE + ∠AEB = 180 °
(By using the angle sum property of a triangle.)
As given and shown in the diagram
∠EAB = 14° , ∠ABE = 45 °
Put in the above equation
14° + 45° + ∠AEB = 180 °
∠AEB = 180 °- 59°
∠AEB = 121 °
∠AEB = ∠DEC = 121°
(by using the vertical opposite angles property)
Now in ΔCED
∠DEC + ∠EDC + ∠ECD = 180 °
(Angle sum property of a triangle)
(as given ∠DEC = 121° ,∠ECD = 27° shown in the diagram )
∠EDC = 180 ° - 27 ° - 121 °
∠EDC = 32°
therefore
∠ D = 32 °
Hence proved
Sam's bedroom has a perimeter of 46 feet. If the length of the bedroom is 11 feet, what is the width of the bedroom?
Answers
=24/2
= 12
There are 3 in. of snow on the ground when it begins to snow 0.5 in. /h.
Which linear equation represents the total depth of the snow, in inches, after x hours?
A. y=0.5x
B. 3+y=0.5x
C. y=0.5x+3
D. x=0.5y
Answers
Answer:
c. i took the test
Step-by-step explanation:
The required linear equation y = 0.5x + 3 represents the total depth of the snow, in inches, after x hours which is the correct answer would be option (C).
What exactly is a linear equation?A linear equation is one in which the greatest power of the variable is always one.
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
We have been given that there is 3 in. of snow on the ground when it begins to snow 0.5 in. /h.
Let the total depth of the snow, in inches, after x hours
As per the given information, translate the phrase into an algebraic form:
y = 0.5x + 3
Here y represents the total depth of the snow.
Therefore, the correct answer would be option (C).
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Evaluate the expression below when x = -1.
2x2 − 5
x + 9
-7
8
-3
8
-1
8
-1
Answers
-1+9 is 8
the second to last choice is the correct solution.
Answer:
-3/8
Step-by-step explanation:
plato
The product of some negative number and 3 less than twice that number is 209. find the number
Answers
let the negative number be x,
3 less than twice that negative number would be (2x-3)
hence,
equation form
x multiply by (2x-3) equals to 209
it would result in equation
2x^2-3x=209
2x^2-3x-209=0
hence using quadratic eqn
x=11 ( rej since qn stated x is a negative number)
x=-19/2
The cost of a movie ticket is $5. it costs a group of friends $105 to go to the movies. which equation describes the number of people that went to the movies?
Answers
Please correct me if I'm wrong.
The equation that describes the number of people that went to the movies could be 5x = 105
What is a solution to a system of equations?For a solution to be solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs,
So solution to a system is the intersection of all its equation at single point(as we need common point, which is going to be intersection of course)(this can be one or many, or sometimes none)
Given; The cost of a movie ticket is $5. it costs a group of friends $105 to go to the movies.
Each ticket cost is $5,
The tickets were $105.
So, multiplied 5 x 105 = 525.
Let x be the number of people that went to the movies.
So, 105 / 5 = x = 21
OR
5x = 105
Therefore, the equation that describes the number of people that went to the movies could be 5x = 105
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I need Help with 9??
Answers
7 7
J_______K_________L
|__________________|
4x - 2
since K is the midpoint, it splits the segment in 2 equal parts
JK + KL = JL
7 + 7 = 4x - 2
14 = 4x - 2
14 + 2 = 4x
16 = 4x
16/4 = x
4 = x <====
KL = 7 <===
JL = 4x - 2....4(4) - 2.....16 - 2 = 14 <==
A parabola has vertex (2, 3) and contains the point (0, 0). find an equation that represents this parabola.
Answers
y= a(x - 2)^2 + 3 where a is some constant.
We can find the value of a by substituting the point (0.0) into the equation:-
0 = a((-2)^2 + 3
4a = -3
a = -3/4
so our equation becomes y = (-3/4)(x - 2)^2 + 3
The required equation is y = (-3/4)(x - 2)² + 3 that represents given parabola.
What is Parabola?A parabola is a U-shaped curve this is drawn for a quadratic function,
f(x) = ax² + b x + c.
The parabola equation into the vertex form:
(y-k) = a(x-h)²
Where (h,k) are the x and y-coordinates of the vertex.
The parabola has vertex (2, 3) which is given in the question
Here h = 2,and k = 3
Substitute the values of h = 2 and k = 3 in the above equation
y - 3 = a(x - 2)²
y = a(x - 2)² + 3
If the parabola contains the point (0, 0)
Substitute the point (0, 0) in the above equation
0 = a((-2)² + 3
4a = -3
a = -3/4
Thus, the equation becomes y = (-3/4)(x - 2)² + 3
Hence, the required equation is y = (-3/4)(x - 2)² + 3 that represents given parabola.
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Which of the following does not have a measure of 40 degrees?
∠AOX
∠DOA
∠COA
Answers
Answer:
the correct answer is C) COA
How many 3 digit positive integers are odd and do not contain the digit 5?
Answers
Assume n=a*100+b*10+c un integer positive odd with no 5.
a∈{1,2,3,4,6,7,8,9} ,#8
b∈{0,1,2,3,4,6,7,8,9},#9
c∈{1,3,7,9},#4
Number of integers searched: 8*9*4=288
2(x+3) + 6 = 3x - 9 written in word form? HELP!!!
Answers
Which equation is related to the equation shown? x + 3 = 12
a. x = 12 + 3
b. x = 12 ÷ 3
c. x = 12 − 3
d. x = 12 • 3 open study?
Answers
9+3=12
c. x=12-3
A particle's position is r⃗ =(ct2−2dt3)i^+(2ct2−dt3)j^,
where c and d are positive constants. Find expressions for times t > 0 when the particle is moving in the x-direction.
Answers
∴ v = (vx=0,vy)
vy = 0ms^-1
vy = (dr/dt)y = 0ms^-1
ry→ = (2ct^2 -dt^3)j
dr/dt = 4ct - 3dt^2
4ct - 3dt^2 = 0
4c = 3dt
t = 4c/3d