Chang wants to rent a boat and spend at most $44. the boat cost $8 per hour, and chang has a discount coupon for $4 off. what are the possible numbers of hours chain could rent the boat? Use "t" for number of hours .
Answer:
6 hours.
Step-by-step explanation:
Here's my work.
Chang only wanted to spend $44, and the boat costs $8/hr. So, the variable would only be 8t, and you would put 44 on the other side.
Then, you'd put -4 on the side with 8t, because you can take off $4.
So, the setup would be;
44 = 8t - 4.
How do I find out 4)?
Answer:
Step-by-step explanation:
Given expression is,
[tex]\lim_{m \to \infty} \frac{4m^2-6m+1}{3m^2+5m+7}[/tex]
By dividing denominator and numerator of the given fraction by m²,
[tex]\lim_{m \to \infty} \frac{\frac{4m^2-6m+1}{m^2} }{\frac{3m^2+5m+7}{m^2} }[/tex]
= [tex]\lim_{m \to \infty} \frac{4-\frac{6}{m} +\frac{1}{m^2} }{3+\frac{5}{m} +\frac{7}{m^2} }[/tex]
We know that [tex]\lim_{n \to \infty} \frac{1}{n}=0[/tex]
[tex]\lim_{m \to \infty} \frac{4-\frac{6}{m} +\frac{1}{m^2} }{3+\frac{5}{m} +\frac{7}{m^2} }=\frac{4-0+0}{3+0+0}[/tex]
[tex]=\frac{4}{3}[/tex]
Therefore, We can evaluate the limit of the expression by substituting ∞ in for m.
A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready function tomorrow the situation. Determine the percent increase of the population of most of each month.
Answer:
[tex]y=120 * 1.1^x[/tex] --- function
The monthly rate is 10%
Step-by-step explanation:
Given
Let
[tex]x \to months[/tex]
[tex]y \to mice[/tex]
So, we have:
[tex](x_1,y_1) = (0,120)[/tex] --- Monday
[tex](x_2,y_2) = (1,132)[/tex] --- One month later
Required
The function
The function is represented as:
[tex]y=ab^x[/tex]
In [tex](x_1,y_1) = (0,120)[/tex], we have:
[tex]120 = a * b^0[/tex]
[tex]120 = a * 1[/tex]
[tex]120 = a[/tex]
[tex]a=120[/tex]
In [tex](x_2,y_2) = (1,132)[/tex], we have:
[tex]132 = a * b^1[/tex]
[tex]132 = a * b[/tex]
Substitute: [tex]a=120[/tex]
[tex]132 = 120 * b[/tex]
Solve for b
[tex]b = \frac{132}{120}[/tex]
[tex]b = 1.1[/tex]
So, the function is:
[tex]y=ab^x[/tex]
[tex]y=120 * 1.1^x[/tex]
To calculate the monthly rate (r), we have:
[tex]y =a(1 + r)^x[/tex]
Compare to: [tex]y =ab^x[/tex]
[tex]1 + r = b[/tex]
Make r the subject
[tex]r = b-1[/tex]
Substitute [tex]b = 1.1[/tex]
[tex]r = 1.1-1[/tex]
[tex]r = 0.1[/tex]
Express as percentage
[tex]r = 0.1*100\%[/tex]
[tex]r = 10\%[/tex]
Pls help I don’t know how to do this
Answer:
the answer is D
BECAUSE it satisfied the conditions
i need help with this
Answer: x=32
Step-by-step explanation:
The angles in a triangle add up to 180 degrees.
Since we know a=10 the other two angles must add up to 170 degrees.
[tex]2x+3x=170[/tex]
We can now solve for x
[tex]2x+3x=170\\5x=170\\\frac{5x}{5} =\frac{170}{5}\\x=34[/tex]
We can sub in x to both angles to see if they angles add up to 180
[tex]2(34)+3(34)+10=180\\68+102+10=180\\180=180[/tex]
Select the correct answer.
What is the slope of the line represented by the equation f(x) = -3x + 7?
ОА.
-7
OB. 3
O C. 3
OD. 7
Answer:
The slope should be -3.
Step-by-step explanation:
:)
please help me if you can. please show how you got the answer.
Answer:
Step-by-step explanation:
The area of a circle is A = πr², where r is the radius. That means in order to solve this we have to find the value of x, which is the diameter of the lake, and then divide it in half to get the radius. To find x we will use similar triangles and proportions. x is the height of the big triangle and 4.5 is the height of the smaller triangle; 15.3 + 7.4 is the hypotenuse of the big triangle and 7.4 is the hypotenuse of the smaller triangle. Setting up our proportion:
[tex]\frac{x}{4.5}=\frac{15.3+7.4}{7.4}[/tex] which simplifies a bit to
[tex]\frac{x}{4.5}=\frac{22.7}{7.4}[/tex] and cross multiply to solve for x:
7.4x = 102.15 so
x = 13.8 That is the diameter of the lake. Divide it in half to get 6.9, the radius. Applying the area formula for a circle:
A = (3.14)(6.9)² and
A = 3.14(47.61) so
A = 149.5 which rounds to 150, Choice C
Brainliest goes to whoever answers correctly
Answer:
1/9
Step-by-step explanation:
6/9 is 1/9th bigger than 5/9
Answer:
B
Step-by-step explanation:
6/9-5/9=1/9
What is the solution to this system?
x - y = 6
y = 2x - 5
Solve for f: efg - h = i
Given:
The equation is:
[tex]efg-h=i[/tex]
To find:
The value of f.
Solution:
We have,
[tex]efg-h=i[/tex]
We need to isolate f to find the value of f.
Adding h on both sides, we get
[tex]efg-h+h=i+h[/tex]
[tex]efg=i+h[/tex]
Dividing both sides by [tex]eg[/tex], we get
[tex]\dfrac{efg}{eg}=\dfrac{i+h}{eg}[/tex]
[tex]f=\dfrac{i+h}{eg}[/tex]
Therefore, the value of f is [tex]f=\dfrac{i+h}{eg}[/tex].
if f(x) = 3x + 2, what is f(5)?
Answer:
f(x)=3x+2 what is f(5)
f(5)=3(5)+2 = 17
Step-by-step explanation:
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]f(5)=17[/tex]
»»————- ★ ————-««
Here’s why:
Replace the 'x' with the given value (in this case 5) and solve.⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer....}}\\\\\rightarrow f(x)=3x+2; f(5)\\-------------\\\rightarrow f(5)=3(5)+2\\\\\rightarrow f(5)=15+2\\\\\rightarrow \boxed{f(5)=17}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
The picture is above I’ll mark as brainliest.
Answer:
8
Step-by-step explanation:
32 ÷ 4 = 8
32 ÷ 8 = 4 :D
4x8 = 32
32 divided by 4 is 8. 8 is your answer.
Emily and her sister packed a turkey sandwich for their lunch. Emily makes a turkey sandwich
every 4 days. Her sister makes a turkey sandwich every 8 days. How many days will pass before
they both pack a turkey sandwich on the same day again?
Answer:
ok so lets make a list of what days each sister will make sandwiches
Emily:4,8,12,16,20
Sister:8,16,24,32,40
from looking at this we know that they will both make sandwiches on the 8th day
Hope This Helps!!!
help asap Please show working
Answer:
(a) -12
(b) 37
(c) -840
Step-by-step explanation:
We simply have to plug in the values for each expression.
2 + -3(3) - 5 = 2 + -9 - 5 = -7 - 5 = -12
5(2) - 4(-3) + 3(5) = 10 - -12 + 15 = 10 + 12 + 15 = 22 + 15 = 37
7(2^3)(-3)(5) = 7(8)(-15) = 56(-15) = -840
If a = 27, b = -10 and c = 40, show that a-(6-c) +(a - b)-C.
Answer:
58
Step-by-step explanation:
a = 27, b = -10 and c = 40
= a - (6 - c) + (a - b) - C
= 27 - (6 - 40) + (27 - (-10)) - 40
= 27 - (-34) + (37) - 40
= 27 + 34 + 37 - 40
= 58
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{a - (6 - c) + (a - b) - c}[/tex]
[tex]\large\textsf{= 27 - (6 - 40) + (27 - (-10)) - 40}[/tex]
[tex]\large\textsf{6 - 40 = \bf -34}[/tex]
[tex]\large\textsf{= 27 - (-34) + (27 - (-10)) - 40}[/tex]
[tex]\large\textsf{= 27 + 34 + 27 + 10 - 40}[/tex]
[tex]\large\textsf{27 + 34 = \bf 61}[/tex]
[tex]\large\textsf{= 61 + 27 + 10 - 40}[/tex]
[tex]\large\textsf{61 + 27 = \bf 88}[/tex]
[tex]\large\textsf{88 + 10 - 40}[/tex]
[tex]\large\textsf{88 + 10 = \bf 98}[/tex]
[tex]\large\textsf{98 - 40}[/tex]
[tex]\large\textsf{= \bf 58}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 58}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Please help ASAP
A map uses a scale of 3 centimeters to represent 20 miles. The distance between Mt. Hope and
Camden is 56 miles. Which proportion can be used to find 2, the distance between Mt. Hope and
Camden on the map?
Answer:
Option B is correct
Step-by-step explanation:
Hope that helped u
hello i give points!
Describe how the data is dispersed in a box plot with the following data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.
Answer:
i would say that the box plot will look somewhat in the middle between 18 and 36 with 36 being the largest and 18 as the smallest
the data will also wont have a major difference in them
hope this helps<3
expand and simplify (x-5)^2
^2= to the power of 2
Step-by-step explanation:
thats my answer thankyou
mark me as BRAINLIEST
follow me
carry on learning
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
[tex] \large{ \tt{✤ \: FIRST ,\: MEMORISE \: THESE}} : [/tex]
[tex](a + b)^{2} = {a}^{2} + 2ab + {b}^{2} [/tex][tex] (a - b) ^{2} = {a}^{2} - 2ab + {b}^{2} [/tex][tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex][tex] {a}^{2} + {b}^{2} = {(a + b)}^{2} - 2ab \: [/tex] or [tex] {(a - b)}^{2} + 2ab[/tex][tex] \large{ \tt{❁ \: LET'S \: START}} : [/tex]
[tex] \large{ \tt{⋆ \: (x - 5) ^{2} }}[/tex]
Use the formula of ( a - b ) ². Assume ' x ' as ' a ' & ' 5 ' as ' y ' :[tex] \large{ \tt{↦ {x}^{2} - 2 \times x \times 5 + {5}^{2} }}[/tex]
[tex] \boxed{ \large{ \tt{↦ \: {x}^{2} - 10x + 25 }}}[/tex]
Hence , the required answer is x² - 10x + 25And we're done! ♡
[tex] \large{ \# \: \mathfrak{StayInAndExplore \: ☂}}[/tex]
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
HELP HELP HELP HELP HELP HELP HELP HELP
Answer:
first option is correct
Step-by-step explanation:
3x+12+x=180 degree (being linear pair)
4x+12=180
4x=180-12
x=168/4
x=42
Which of the following are equivalent to
a^2•a^10
Select all that apply
A) a^8•a^4
B) a^4•a^5
C) a^12
D) a^7•a^5
E) a^20
F) a^2•a^6
Find the difference.
(3 - 13x - 7x2) - (5x2 + 12x - 10)
A.
-12x2 - 25x - 7
B.
-12x2 - 25x + 13
C.
-12x2 - x - 7
D.
3x2 - 25x - 2
Answer:
Is that the letter (x) or Is that times?
If it is times; then the difference is:
Option "C" -12x2-x-7
Step-by-step explanation:
why, because it is not solvable
Answer:
the person above me is wrong,
Step-by-step explanation:
its
Simplify the expression.
12x2 - 25x + 13
HELPP HELPPP PLEASEEE
the table shows the result of a survey asking 48 students what type if pet they prefer.
if one student in the survey Is selected at random, what is the probability the student will prefer cat or dog?
Answer:
12/5
Step-by-step explanation:
The total number of students divided by the number of students who prefer dogs.
Mathematically:
48/20
=12/5
Therefore, that's the probability
Kayden is a stunt driver. One time, during a gig where she escaped from a building about to explode, she drove at a constant speed to get to the safe zone that was 160 meters away. After 3 seconds of driving, she was 85 meters away from the safe zone. Let D(t) denote the distance to the safe zone D (measured in meters) as a function of time t (measured in seconds).
Which of the below formulas is the correct function's formula?
A. D(t) = -25t + 160
B. D(t) = 25t + 160
C. D(t) = -25t - 160
D. D(t) = 25t - 160
Step-by-step explanation:
A. D(t) = -25t + 160
this is the correct answer because if you substitute 3 you get 85
Help please
Identify the vertex and the y-intercept of the graph of the function.
y = 0.5(x – 3)²
Answer:
7
Step-by-step explanation:
Write an equation in the standard form of the line that passes
through (7, -3) and has a y-intercept of 2.
Answer:
[tex]5x + 7y = 14[/tex]
Step-by-step explanation:
1: Formulate equations/expressions:
[tex]based \: on \: the \: given \: conditions \: formulate \\ b = 2[/tex]
2: Write the equations:
[tex]write \: the \: equation \: of \: linear \: function \\ y = mx + b[/tex]
3: Substitute:
[tex]y = mx + b \\ b = 2 \: (7 \: - 3) \\ - 3 = m \: . \: 7 + 2[/tex]
4: Solve the equation:
[tex] - 3 = m \: . \: 7 + 2 \\ multiply \: the \: monomials \\ - 3 = 7m + 2 \\ rearrange \: unknown \: terms \: to \: the \: left \: of \: the \: equation \\ - 7m = 2 + 3 \\ calculate \: the \: sum \: or \: differences \\ - 7m = 5 \\ divide \: both \: sides \: of \: the \: equations \: by \: the \: coefficient \: variable \\ m = 5 \div ( - 7) \\ calculate \\ m = - \frac{5}{7} [/tex]
5: Substitute:
[tex]y = mx + b \\ b = 2 \: m = - \frac{5}{7} \\ y = - \frac{5}{7} x + 2[/tex]
6: Rewrite the equations:
[tex]y = - \frac{5}{7} x + 2 \\ standard \: forms \\ find \: the \: required \: form \\ 5x + 7y = 14[/tex]
find the volume of the larger one pls
Answer:
284 u^3
Step-by-step explanation:
a b c d e f g h i j k l m n o p q r s t u v w x y z
simplified, -14xy − (-3xy) is
Answer:
-11xy
Step-by-step explanation:
-14xy -(-3xy)
multiply the bract first - sign * minus sign is plus sign
-14xy+3xy
since they are like terms u can subtract them.u should subtract them because minus and plus means subtract and we should put minus sign in front of the answer because 14 is the highest number and it's sign is negative .
-11xy
If AC = 28 meters and BC = 21 meters, what is the measure of angle C?*
A
B В
41.41
0 ОО
48.59
none of the other choices
0.99
Ο Ο
36.87
A birthday hat in the shape of a cone has a diameter of 28cm and a height of 48cm. The radius is?
Answer:
14
Step-by-step explanation:
the radius is always half the diameter.
but i could be wrong ,beacause im not sure why they gave you the height.
Answer:
Radius is 14 cm
Step-by-step explanation:
To find the radius, you divide the diametre by 2
28 ÷ 2 = 14
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Have a great summer :)
which of the following is equivalent to the quotient below
Answer:
B
Step-by-step explanation:
Hope it helps and if you need explanation let it in the comments
Answer:
B
Step-by-step explanation: