Answer:
36 movies.
Step-by-step explanation:
45
+
2.50
x
=
3.75
x
Here
x
=
NUMBER OF MOVIES
45
=
Annual rate
2.50
=
price of movie with annual fee
3.75
=
price of movie with no fee
Now we solve for
x
. Move
x
to one side by subtracting
2.50
x
on each side
45
=
1.25
x
We want
x
by itself, so divide
45
by each side.
45
1.25
=
x
x
=
36
The interval of movies watched, x, for which Plan A is cheaper than Plan B is 0 < x < 4
Let x represent the number of movies watched per month.
Plan A costs $31 per month plus $1.50 per movie watched, hence:
A = 1.5x + 31
Plan B costs $35 per month plus $0.50 per movie watched, hence:
B = 0.5x + 35
For plan A to be cheaper than plan B:
1.5x + 31 < 0.5x + 35
x < 4
But the number of movies watched must be greater than 0, hence:
0 < x < 4
Therefore, the interval of movies watched, x, for which Plan A is cheaper than Plan B is 0 < x < 4
Find out more at: https://brainly.com/question/25285332
A line with a slope of 3 passes through (2,5). Which choice is an equation of this line?
Answer:
y=3x-4
Step-by-step explanation:
a slope of 3 means that the equation will definitely start like this
y=3x +/- b
to find b, substitute the coordinates given, so
5=3 x 3 +/- b
5=9 +/- b
5-9=b
-4=b
so the equation would be
y=3x-4
Mila reads at a rate of 3 paragraphs per minute.
After reading for 4 minutes, she had read a total of 12 paragraphs.
This situation can be represented with a linear equation written in point-slope form, where x represents the number of minutes and y represents the number of paragraphs.
Use this information to complete each statement about the linear equation.
Answer:
y= 3x
Step-by-step explanation:
This is honestly your basic times tables if we are being honest. We know that she read 3 paragraphs per minute. We also know that in 4 minutes, she read 12 paragraphs. 4 times 3 = 12. So the answer is y=3x.
Answer:
slope of the linear equation is 3
a point on the graph of a linear equation is (4,12)
linear equation can be written as y-12 = 3 (x-4)
Step-by-step explanation:
Cuz it is
Evaluate the expression
2 − 52 ÷ 5 + 8
Answer:
32
Step-by-step explanation:
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Answer:
decimal= -0.4
exact form=-2/5
Step-by-step explanation:
Is 4/8 equal to 6/12?
Answer:
yes becauseeee:
4/8 if we divide both by 4 be get 1/2
and with 6/12 if we divide both by 6 we also get a half
Find the values of x and y if
Answer:
see explanation
Step-by-step explanation:
Since the triangles are congruent then corresponding sides are congruent, then
CA = NE , that is
4x + 3 = 11 ( subtract 3 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2
----------------------------------------
AR = EW, that is
4y - 12 = 10 ( add 12 to both sides )
4y = 22 ( divide both sides by 4 )
y = 5.5
-------------------------------------------
NW = x + y = 2 + 5.5 = 7.5
CR = NW = 7.5
science pls answer I give brainliest
Answer:
I would say B
Step-by-step explanation:
Some inland areas can be warm but cold where-as some places near the coast stay warm most of the time
Bob is hiking down a 15-mile country trail. He could hike at 5 mph for the first 2 hours and then go the rest of the way at 3 mph or he could just go the whole way at 4 mph. How long would each of these options take?
Answer:
1) 11/3 hours or about 3.67 hours.
2) 3.75 hours.
Step-by-step explanation:
Let’s determine the time it will take for Bob to hike for each of the options.
Option 1) Hiking 5mph for 2 hours, then 3mph.
The total distance is 15 miles.
If Bob hiked 5mph for 2 hours, then after two hours, Bob would’ve covered 5(2)=10 miles out of 15.
Therefore, 15-10 or 5 miles still needs to be covered.
To find how long that will take, we can simply divide the distance by the rate.
We are now going at a rate of 3mph. So, 5/3 is about 1.67 hours.
So, it will take another 1.67 hours to complete the hike.
So, the total time it will take is 2+1.67 or abou 3.67 hours. More specifically, it will be 2+5/3 or 11/3 hours.
Option 2) Hiking 4mph the entire way.
The total distance is 15 miles.
If Bob hiked 4mph the entire way, to find how long it will take, we can simply divide the total distance by the rate.
So: 15/4=3.75.
Therefore, it will take 3.75 hours to hike the entire distance going 4mph.
Answer:
1) 11/3 hours or about 3.67 hours.
2) 3.75 hours.
Step-by-step explanation:
Let’s determine the time it will take for Bob to hike for each of the options.
Option 1) Hiking 5mph for 2 hours, then 3mph.
The total distance is 15 miles.
If Bob hiked 5mph for 2 hours, then after two hours, Bob would’ve covered 5(2)=10 miles out of 15.
Therefore, 15-10 or 5 miles still needs to be covered.
To find how long that will take, we can simply divide the distance by the rate.
We are now going at a rate of 3mph. So, 5/3 is about 1.67 hours.
So, it will take another 1.67 hours to complete the hike.
So, the total time it will take is 2+1.67 or abou 3.67 hours. More specifically, it will be 2+5/3 or 11/3 hours.
Option 2) Hiking 4mph the entire way.
The total distance is 15 miles.
If Bob hiked 4mph the entire way, to find how long it will take, we can simply divide the total distance by the rate.
So: 15/4=3.75.
Therefore, it will take 3.75 hours to hike the entire distance going 4mph.
Step-by-step explanation:
5x≥7 solve the equation plz I need help
Answer:
Step-by-step explanation:
5x≥7
Divide both sides by 5
x ≥7/5
What inputs of this function have an output of -2?
Answer:
-7 and 5
Step-by-step explanation:
The output of a function is seen as the y-value so when you find the y-value of -2 they are on the x-values (or inputs) -7 and 5
Evaluate (2 * x - 4) for x = 2
Answer:
0
Step-by-step explanation:
The expression we are given is (2 * x - 4).
We need to find the value of expression when x = 2.
Let's substitute 2 in as x.
Now our expression is (2 * 2 - 4).
First, let's multiply our 2 with our substituted 2.
1. 2 * 2 = 4
We're left with (4 - 4).
Finally, let's evaluate this expression.
2. (4 - 4) = 0.
Our answer is 0.
So (2 * x - 4) when x = 2 is 0.
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Brainliest!! Pls help
Answer:
its c
Step-by-step explanation:
that one is shaded down other one is shaded up (up = greater)( down= less)
1
The area of a rectangular dog pen is 8-square feet.
2
2
If the width is 3 feet, what is the length, in feet?
Scientific notation The table shows the amount of money raised by each region the four regions used a total of $ (5.38×10^4) How much money did the West Raise?
9514 1404 393
Answer:
$8.65×10^3
Step-by-step explanation:
The amount the West raised is the difference between the total and the sum of the other amounts raised. It is convenient to use a multiplier of 10^4 for each of the numbers, so the number for South can be rewritten as 0.675×10^4.
West = 5.38×10^4 -1.46×10^4 -2.38×10^4 -0.675×10^4
= (5.38 -1.46 -2.38 -0.675)×10^4
= 0.865×10^4 = 8.65×10^3
West raised $8.65×10^3.
_____
Your calculator can figure this for you. You can set the final display to scientific notation format, if you need to.
Eloise is baking cupcakes and cookies for a birthday party. He baked 2.5 times as many cookies as cupcakes for a total of 56 items. How many of each item did she bake?
A. 16 cookies and 40 cupcakes
B. 35 cookies and 21 cupcakes
C. 35 cupcakes and 21 cookies
D. 16 cupcakes and 40 cookies
Answer:
D 16 cupcakes and 40 cookies
Step-by-step explanation:
I wrote an equation to solve for this
2.5x + x = 56
x represents cupcakes
3.5x = 56
x = 16
16 represents cupcakes.
16*2.5 = 40 (cookies)
Raina drove 936 miles in 13 hours.
At the same rate, how long would it take her to drive 576 miles?
Answer:
8 hours
Step-by-step explanation:
72 miles per hour
576/72= 8
Find the equationof a circle whose centre is (-3-15) and passing point (5,-1) find the equation of circle..
Answer: [tex](x+3)^{2} +(y+15)^{2}=260[/tex]
Step-by-step explanation:
The centre is (-3,-15), so we can say the equation of circle is [tex](x+3)^{2} +(y+15)^{2}=r^{2}[/tex]. put (5,-1) at this equation.
then, we can know [tex]r^{2}=260[/tex].
∴ [tex](x+3)^{2} +(y+15)^{2}=260[/tex]
how do I solve 9x-4= -44
We can describe 15x-10 as an expression
We would describe 9x+5=32 as an
We would describe 9x+5=32 as an equation.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given, We can describe 15x-10 as an expression, We would describe 9x+5=32 as an:
A function is a collection of ordered pairs where each input (x-value) has a single relationship to each output (y-value). An equation need not always be a function. If an equation satisfies the criteria for a function, then it is a function. However, not all equations are functions.
A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.
Therefore, We would describe 9x+5=32 as an equation or a function.
Learn more about expression here:
https://brainly.com/question/14083225
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A car is moving at a steady rate. The distance it travels is proportional to the amount of time, in hours, it has been driving. It has traveled a total of 168 miles in 3 hours. (a) What is the ratio of the distance to the number of hours? Express as a fraction and as a unit rate with appropriate units.
Step-by-step explanation:
let distance travelled be d miles and time be t hours.
d = kt where k is a constant, k ≠ 0
168 = 3k
k = 56
d/t = k
hence it's ratio is 56 : 1 and fraction is 168/3 = 56/1 and fraction with unit is 56miles/hour.
Topic: direct & inverse proportions
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Started at 10° and rose 1° each minute
Answer:
1, -2, 2, [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Which graph is the solution of the following systems
HELP ON ON GRADPOINT
What are the excluded values of x for
Answer:
x = - 2, x = 9
Step-by-step explanation:
Given
f(x) = [tex]\frac{x^2-9x}{x^2-7x-18}[/tex]
The denominator of f(x) cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the values that x cannot be.
x² - 7x - 18 = 0
(x - 9)(x + 2) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 9 = 0 ⇒ x = 9
The excluded values are x = - 2, x = 9
The perimeter of a rectangle is equal to 163 yard. The width is 8 more than twice the length. Find the length and width.
Answer:
l = 29.4 yards
w = 66.8 yards
General Formulas and Concepts:
Order of Operations: BPEMDASPerimeter of a Rectangle: P = 2w + 2lStep-by-step explanation:
Step 1: Define
P = 163 yards
w = 2l + 8
l = l
Step 2: Set up equation
P = 2w + 2l
163 = 2(2l + 8) + l
Step 3: Solve for l
Distribute 2: 163 = 4l + 16 + lCombine like terms: 163 = 5l + 16Subtract 16 on both sides: 147 = 5lDivide both sides by 5: 147/5 = lRewrite: l = 147/5Evaluate: l = 29.4 yardsStep 4: Find w
Define: w = 2l + 8Substitute: w = 2(29.4) + 8Multiply: w = 58.8 + 8Add: w = 66.8 yardsA baker, in 70 minutes, iced 40 cupcakes and, in 49 minutes, iced 28 cupcakes. What is the constant of proportionality? Express your answer in decimal form.
Answer:
2/5
Step-by-step explanation:
3. Roger runs 8 miles per hour. He ran for h
hours to run 6 miles.
Write the equation for this situation
Answer:
8h
Step-by-step explanation:
8 miles per hour
h hours
plug in h for how many hours
8 divided by 6 is 1.3
1.3 hours to run 6 miles
Penny compared the price of gumdrops at two stores. At Save-More Market, gumdrops are $3.95 per pound. At the Buy-Here Warehouse, the price is two pounds for $6.50. Which store has the better buy? Explain your answer.
Answer:
Buy-Here Warehouse has the better deal.
Step-by-step explanation:
divide
$6.50 divided by 2 = $3.25
$3.25 costs less than $3.95 for a pound
Orchestra Tonight is selling tickets for its local performance. Orchestra fans can buy tickets to sit in the balcony or on the top floor of the concert hall. Tickets for balcony seats are $83 each. Tickets for seating on the floor are 60% of the price of the balcony tickets. Which inequality represents all possible combinations of f, the number of tickets for floor seats and b, the number of tickets for balcony seats, that a person can buy and spend no more than $560. a 83b+138.33f>560 b 83b+49.8f>560 c 83b+49.8f\le560 d 83b+138.33f\le560
Answer:
c
Step-by-step explanation:
Given that:
Cost of balcony seat = $83
Cost of seating on floor = 60% of balcony seat = 0.6 * $83 = $49.8
Number of tickets for floor seat = f
Number of tickets for balcony seat = b
Total amount to spend should not exceed $560;
[(Cost of balcony ticket * number of balcony tickets) + ( cost of floor tickets * number of floor tickets)] ≤ 560
83b + 49.8f ≤ 560
The closest from the options given is :
83b + 49.8 < 560
the polygons in each pair are similiar. help find the missing side length???
Answer:
[tex]x=12[/tex]
Step-by-step explanation:
Since the polygons are similar, we can use the formula: [tex]\frac{x}{15}=\frac{32}{40}[/tex]. Using cross-multiplication , we obtain: [tex]40x=15*32\\x=\frac{15*32}{40}= 12[/tex].
Blaine bought a bag of 20 apples. When she got home, she found that 20%
of the apples were bad. How many bad apples were in the bag?
Answer:
4
Step-by-step explanation:
20 percent * 20 =
(20:100)* 20 =
(20* 20):100 =
400:100 = 4
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[tex] \frac{13x - 37}{2} = 2x + 13 \\ [/tex]
Multiply sides by 2
[tex]2 \times \frac{13x - 37}{2} = 2 \times (2x + 13) \\ [/tex]
[tex]13x - 37 = 4x + 26[/tex]
Subtract sides 4x
[tex] - 4x + 13x - 37 = - 4x + 4x + 26 \\ [/tex]
[tex]9x - 37 = 26[/tex]
Add sides 37
[tex]9x - 37 + 37 = 26 + 37[/tex]
[tex]9x = 63[/tex]
Divide sides by 9
[tex] \frac{9x}{9} = \frac{63}{9} \\ [/tex]
[tex]x = 7[/tex]
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[tex]DE = 2x + 13[/tex]
[tex]DE = 2(7) + 13[/tex]
[tex]DE = 14 + 13[/tex]
[tex]DE = 27[/tex]
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The correct answer is Option four .
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