Gabriel is deciding between two different movie streaming sites to subscribe to. Plan 1 costs $22 per month plus $1 per movie watched. Plan 2 costs $14 per month plus $3 per movie watched.
Create a system of equations to represent this situation. Use the graph below and explain how many movies, would cause the two plans would have an equal monthly cost.
Answer:
It takes 4 movies for the costs to be equal.
Step-by-step explanation:
Let y = cost; let x = number of movies.
Plan 1: y = x + 22
Plan 2: y = 3x + 14
System of equations:
y = x + 22
y = 3x + 14
3x + 14 = x + 22
2x = 8
x = 4
Answer: It takes 4 movies for the costs to be equal.
What is distance between -8 and 3 on the number line
Answer:
11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
You do -8 - 3 and you get 11
HELPPPPPP PLS
Which equation represents this graph?
O f(x)=√x-2+3
Of(x)=√x+2+3
Of(x)=√x+2+3
O f(x)=√x-2+3
[tex]Answer:\ f(x)=-\sqrt{x-2}+3[/tex]
Step-by-step explanation:
a cone is created by rotating an isosceles right triangle with leg length 2 about one of its legs. its surface area is $\pi$ times what number?
The surface area is [tex]4\sqrt{2} \pi[/tex] units.
This problem is related to the triangle and solid figures.
If we rotate a triangle alongside one of its legs then it's going to shape a cone and the radius of the cone might be the duration of the bottom of the triangle and the hypotenuse of the triangle may be the slant peak of the cone.
The period of the the triangle legs is given to be 2 units.
Length of the hypotenuse=[tex]\sqrt{2^{2} +2^{2} }[/tex]
= [tex]2\sqrt{2}[/tex] units.
Now the area of the cone is given by [tex]\pi rl[/tex] where r is the radius of the cone and l is the slant height of the cone.
Surface area of cone = [tex]\pi *2*2\sqrt{2}[/tex]
= [tex]4\sqrt{2} \pi[/tex] units
So, the surface area of cone is [tex]4\sqrt{2} \pi[/tex] units.
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Apply the distributive property to create an equivalent expression.
5v+110
Answer: 5(v + 22).
Step-by-step explanation: The distributive property is a property of mathematics that says that multiplying the sum of two or more terms by another term will give the same result as multiplying each term individually by the other term and then adding the products together. Thus, we can factor the given equation and get 5(v + 22).
(01.03 mc) betty and billy are selling cookies at the school bake sale. billy sold twice as many cookies as betty. together, they sold 15 cookies at t
Cookies sold by Billy are 10 and by Betty are 5;
Total cookies sold by Billy and Betty are 15;
Let the cookies sold by Billy be 'C₁' and by Betty be 'C₂';
C₁ + C₂ = 15; -(i)According to question;C₁ = 2C₂; -(ii)Using (ii) in (i);3C₂ = 15;C₂ = 5;C₁ = 10;what is Permutation?
In mathematics, permutation relates to the act of arranging all of the contributors of a hard and fast into a few sequence or order. In other words, if the set is already ordered, then the rearranging of its elements is called the process of permuting. diversifications occur, in extra or less prominent methods, in almost every place of arithmetic. They regularly stand up whilst one of a kind orderings on positive finite sets are considered.
what's a combination?
The mixture is a manner of selecting objects from a collection, such that (not like permutations) the order of selection does now not matter. In smaller instances, it is feasible to be counted the wide variety of combinations. combination refers back to the mixture of n things taken ok at a time with out repetition. to consult combos in which repetition is authorized, the terms k-choice or k-mixture with repetition are regularly used.
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Which decimal is smallest?
Answer:
.8345
Step-by-step explanation:
Which expression is a perfect cube?
Answer:
Step-by-step explanation:
Only is a perfect cube
What is the slope of the line represented by the equation Y equals 4/5X -3?
-3
-4/5
4/5
3
Answer:
We conclude that the slope of the line represented by the equation [tex]y\:=\:\frac{4}{5}x-3[/tex] would be:
m = 4/5Step-by-step explanation:
We know that the slope-intercept of the line equation is
[tex]y=mx+b[/tex]
here
m is the slopeb is the y-interceptGiven the equation
[tex]y\:=\:\frac{4}{5}x-3[/tex]
comparing with the slope-intercept of the line equation
The slope = m = 4/5
Thus, we conclude that the slope of the line represented by the equation [tex]y\:=\:\frac{4}{5}x-3[/tex] would be:
m = 4/5which statement correctly compares the function shown on this graph with the function y = 6x - 1?
A. the function shown on the graph has a smaller rate of change and a lower starting point
B. the function shown on the graph has a greater rate of change and a higher starting point
C. the function shown on the graph has smaller rate of change, but a high starting point
D. the function shown on the graph has a greater rate of change and a lower starting point
Answer:
we conclude that the function shown in the graph has a smaller rate of change and a lower starting point.
Therefore, option (A) is true.
Step-by-step explanation:
FUNCTION
Given the function
y = 6x - 1
Comparing with the slope-intercept form of the graph
y = mx+b
where m is the slope and b is the y-intercept
Thus,
The slope of the function = rate of change = 6
The starting point of the function can be obtained by setting x = 0 and solve for y
i.e
at x = 0, y = 6x-1 = 6(1)-1 = 5
Thus,
The starting point of the function is (0, 5)
LINE GRAPH
Now, consider the line graph
Taking two points to find the slope
(0, -6)(2, 4)[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:-6\right),\:\left(x_2,\:y_2\right)=\left(2,\:4\right)[/tex]
[tex]m=\frac{4-\left(-6\right)}{2-0}[/tex]
[tex]m=5[/tex]
Thus,
The slope of the line graph = rate of change = 5
From the graph, it is clear that at x=0, the value of y=6
Thus,
The starting point of the graph is (0, -6)
Thus,
FOR FUNCTION
The slope of the function = rate of change = 6
The starting point of the function is (0, 5)
FOR LINE GRAPH
The slope of the line graph = rate of change = 5
The starting point of the graph is (0, -6)
Conclusion
Hence, we conclude that the function shown in the graph has a smaller rate of change and a lower starting point.
Therefore, option (A) is true.
I need help on Table of ratios
Answer:
me too
Step-by-step explanation:
Henry showed all the steps he took to solve the equation.
4 (negative one-half x + 7) + 5 x = 15
Step
Simplified Expression
1
-Negative 2 x + 28 + 5 x = 15
2
3 x + 28 = 15
3
3 x = 15
4
x = 5
Sammy tried to verify the solution by substituting x = 5 back into the original equation. It did not result in a true statement. Which explains why Henry’s solution is incorrect?
Step 1 is wrong because the distributive property of equality was used incorrectly.
Step 2 is wrong because the addition property of equality was used incorrectly.
Step 3 is wrong because the subtraction property of equality was used incorrectly.
Step 4 is wrong because the division property was used incorrectly.
Answer:
The correct awnser is C.
Step-by-step explanation:
TRUMP 2024BIDON STINKS HE IS A SOCHALISTjamie drew a scale drawing of the town library. the scale of the drawing was 5 centimeters : 2 meters. the parking lot is 114 meters long in real life. how long is the parking lot in the drawing?
The length of parking lot in drawing will be 285 centimeters.
We are given the ratio of measurement in drawing to the measurement in real. In the ratio, 5 centimeters represents measurement in drawing and 2 meters represent drawing in real. Further, let the length of parking lot in real life be x centimeters.
Representing the mentioned information in ratio and proportion form - 5÷2=x÷114
Now performing cross multiplication of mentioned ratio and proportion to find the value of x.
2 × x = 5 × 114
Performing multiplication on Right Hand Side of the equation
2 × x = 570
Shifting 2 to denominator on Right Hand Side of the equation
x = 570÷2
Performing division on Right Hand Side of the equation
x = 285 centimeters.
Hence, the length of parking lot in drawing will be 285 centimeters.
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Please help ………………… Me
Answer:
The answer is the second answer.
Step-by-step explanation:
FG:
[tex]\frac{4}{5}[/tex] = [tex]\frac{12}{x}[/tex] Since I have to multiply 3 x4 to get 12, I will multiply 5 by 3 to get 15
GH:
[tex]\frac{4}{5}[/tex] = [tex]\frac{16}{x}[/tex] Since I have to multiply 4 by 4 to get 16, I will multiply 5 by 4 to get 20.
HF:
[tex]\frac{4}{5}[/tex] = [tex]\frac{8}{x}[/tex] Since I have to multiply 4 by 2 to get 8, I will multiply 5 by 2 to get 10
The equation y = 0.25x describes a proportional relationship between x and y. What is the constant of proportionality?
Answer:
k = 0.25
Step-by-step explanation:
The standard equation of a proportional relationship is
y = kx ← k is the constant of proportion
y = 0.25x ← is in this form
with k = 0.25
PLEASE HELP I WILL MARK BRAINLIEST
The measure of the supplement of an angle is 12 greater than twice the measure of its complement.
a. Measure of the angle = __________°
b. Measure of the supplement = __________°
a. 12 deg, b. 168 deg
We can create a systems of equations using this information, since supplement angles add up to 180 deg and complementary angles add up to 90 deg, when angle = x deg and supplement = y deg,
x + y = 180
y = 2(90 - x ) + 12
Solving:
x + 2(90 - x) + 12 = 180
-x + 180 + 12 = 180
x = 12
12 + y = 180
y = 168
Solve for x 4x + 6 = 38
Answer:
x = 8
Step-by-step explanation:
Subtract 6 from both sides:
4x = 32
Divide both sides by 4 to isolate x:
x = 8
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Please help. Super easy. Show the work you did also please! Sorry the photo is upside down.
Answer:
The 65% markdown on $158.25 reduces the price by = $102.86
And the new amount price after 65% markdown = $158.25 - $102.86
= $55.39
Step-by-step explanation:
Given the amount
$158.25The Markdown = 65%If the Markdown on $158.25 is 65%
i.e.
65% of $158.25 = 65/100 × 158.25
= 0.65 × 158.25
= $102.86
So, the 65% markdown on $158.25 reduces the price by = $102.86
And the new amount price after 65% markdown = $158.25 - $102.86
= $55.39
I need help on how to solve
Answer:
94 degrees
Step-by-step explanation:
triangle is 180
so 180-74-20=86
The exterior angle is 74+20=94
94 is exterior angle
Answer:
x = 94°
Step-by-step explanation:
Any triangle has three angles whose measures add up to a total of 180°.
This triangle has two known angle measures. First, find the missing interior angle measure.
180 - (74 + 20)
180 - 94
86
The missing interior angle's measure is 86°. An exterior angle is supplementary to its adjacent interior angle, which means that the measure of the interior angle plus the exterior angle measure is 180.
180 - 86
94
Another way to find out a missing exterior angle measure is to simply add the measures of the two nonadjacent interior angles.
74 + 20
94
I hope this helped :)
PLZ help
An image that is 5 inches wide on the transparency is 25 inches wide on a screen. What is the scale factor?
Answer:
Its 5
Step-by-step explanation:
25 divided by 5 is 5
Use the Cross Products Property to solve x/35=2/7
Answer:
x/35 = 2/7
x = 2/7 ×35
x = 2×5
x = 10
Answer:
x = 10
Step-by-step explanation:
Equation Solving
A common strategy to solve equations given in a rational form is to eliminate denominators.
If the equation is given in the form:
[tex]\displaystyle \frac{x}{a}=\frac{b}{c}[/tex]
We use the cross-product property to make it linear:
cx = ab
And solve it easily by dividing by c.
We are given the equation:
[tex]\displaystyle \frac{x}{35}=\frac{2}{7}[/tex]
Cross-multiplying the denominators:
7x = 2*35
Solving:
x = 70/7=10
x = 10
Points G(-3, 8) and H(0, 5) are on a line. Which equation represents a line that is parallel to this line?
a. y=2x-8
b. y=x-5
c. y= -x+5
d. y= -2x+8
c. y = -x+5 represents a line that is parallel to line with points G(-3, 8) and H(0, 5)
First we will find slope of the points G(-3, 8) and H(0, 5) with the point-slope formula that is
y₂ - y₁ = m(x₂ - x₁) where m is the slope
So, substituting the value we get
⇒ 5 - 8 = m(0 - (-3))
⇒ -3 = m(3)
⇒ m = -3/3
⇒ m = -1
Thus, the slope of the line is -1. A parallel line will have the same slope as well, Therefor, we use the slope intercept form that is
(y = mx + b) where b is the y-intercept and m = -1
⇒ y = -1x + b
Out of all the options, only option c y= -x+5 has a slope = -1, therefore
y= -x+5 represents a line that is parallel to line with points G(-3, 8) and H(0, 5)
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Section A-Classwork 1. Let's tell and write the fractions of these decimal numbers as quickly as possible.
a. 0.3 = ____________
Answer:
3\10........................
Sasha hikes into canyon.she takes a break at the rest stations every 1/3 she decades is she started at sea level and has hiked down to the fourth rest station what is sasha elevation now?
What’s the answer????
PLEADE ANSWER QUESTION NO. 2
2. ABCD is a parallelogram. What is the value of x?
[tex]2x+40=60\\2x=20\\x=10[/tex]
A wholesaler requires a minimum of 4 items in each order from its retail customers. The manager of one retail store is considering ordering a certain number of sofas, x, and a certain number of pillows that come in pairs, y. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?
Answer:
D on edge
Step-by-step explanation:
The linear system shown is _____.
inconsistent
independent
equivalent
Answer:
The linear system shown is inconsistent.
Step-by-step explanation:
In the system given, the lines do not cross each other. This means that the system has no solution.
A linear system with no solution is considered to be inconsistent.
Hope this helps.
Answer:
the guy above me is right I had it in a test give him branilest
Step-by-step explanation:
I need help it is easy
Answer:
The correct answer is 39
Answer:
it's 39 I think....️️yh I'm sure- wait am I yhhhh wait noooo
delta math When the function f(x) is divided by 3x+7, the quotient is 3x^2+3x-2 and the remainder is −1. Find the function f(x) and write the result in standard form.
Answer:
x=√3
Step-by-step explanation:
Let's solve your equation step-by-step.
3x2+3x−2=3x+7
Step 1: Subtract 3x from both sides.
3x2+3x−2−3x=3x+7−3x
3x2−2=7
Step 2: Add 2 to both sides.
3x2−2+2=7+2
3x2=9
Step 3: Divide both sides by 3.
3x2
3
=
9
3
x2=3
Step 4: Take square root.
x=±√3
x=√3 or x=−√3
Step-by-step explanation:
what is correct answer plss tell me also