Answer:
LCM= 154
Step-by-step explanation:
1. Two ski rental companies have different pricing systems. Company A charges a flat fee of $10 plus $5 per hour. Company B does not charge a flat fee but charges $7 per hour rented. After how many hours do both companies charge the same amount?
a. Fill in the equation for the cost of renting skis from Company A.
y = ____ + _____ x
b. Fill in the equation for the cost of renting skis from Company B.
y = _____ x
c. Circle the best method for the cost of renting skis from Company B.
Graphing Substitution Elimination
d. Solve the system using the method you chose.
Rewrite your two equations here. -----------
After ______ hours, both companies charge _____.
e. Check your answer.
Answer:
1a. y = $10 + $5x (With $10 as the flat fee, Company A charges $5 an hour, so the equation should be $10, base, plus $5x, the amount charged after you paid the flat fee.)
1b. y = $7x (Every hour $7 translates to $7x as the total. Nothing more, nothing less.)
1c. Substitution (This will allow us to substitute in one of the equations with y, since the question asks for the same amount charged, with the other equation.)
1d. $10 + $5x = $7x
$7x - $5x = $10
$2x = $10
x = [tex]\frac{\$10}{\$2}[/tex]
x = 5
Therefore, after 5 hours, both companies charge $35 dollars.
1e. To check whether this is correct, let's sub in the amount of hours for both equations.
For Company A:
y = $10 + $5x
y = $10 + $5(5)
y = $35
For Company B:
y = $7x
y = $7(5)
y = $35
Since both are equal to $35, we can definitively say the answer is 5 hours.
Step-by-step explanation:
Hope this helped!
A large chess tournament begins with 256 players. After each round. . half of the players remain.
I cant see the image very well. Could you explain your question?
-5y-9 =-(-1)
A.- 1/2
B. -2 1/2
C. -2
D. -2/5
Answer:
-5y=1+9
-5y=10
Y=-2
Your answer is C
An object is launched into the air and follows a path described by:
x = 4t and y = –16t2 + 8t
Which Cartesian equation contains these two equations?
Answer:
answer is in photo
Step-by-step explanation:
The numbers 2 and 7 are factors of 42. Which statement is true?
A.
The number 42 is neither a multiple of 2 or 7.
B.
The number 42 is a multiple of 7 but not 2.
C.
The number 42 is a multiple of both 2 and 7.
D.
The number 42 is a multiple of 2 but not 7.
18% is what number of 63?
Answer:
[tex] 18 \%\: of \: x = 63 \\ \frac{18}{100} x = 63 \\ x = \frac{63 \times 100}{18} \\ x = 350[/tex]
350 is the right answer.Answer:
350
Step-by-step explanation:
To figure out the number, divide 63 by 18%
63/0.18 = 350
You can check by doing the opposite operation with your answer:
350 · 0.18 = 63
Select all the equations below that have a slope of -5.
A
y = 2x – 5
B
y = – 5x + 2
C
y = 10 – 5x
D
y = 10x – 5
Answer:
B and C
Step-by-step explanation:
they have -5x, it doesn't really matter on their order
What is CD??
A.7
B.10
C.13
D.21
Answer:
13
Step-by-step explanation:
Is there more info to this problem? I'm assuming both triangles are congruent. If so then you can assume that BC = CD
If that's the case then set them equal to each other to solve for x then plug x back into the side for CD to get the value
6x-5 = 4x+1
2x = 6
x = 3
Plug into CD 4(3) +1
= 13
THIS IS ASSUMING TRIANGLE ABC = ADC
The length of a rectangle is the sum of the width and 4. The area of the rectangle is 32
units. What is the width, in units, of the rectangle?
Answer:
The width of rectangle w = 4 units
Step-by-step explanation:
We are given:
Width of rectangle = w
Length of rectangle = w+ 4
Area of rectangle = 32 units
We need to find width of the rectangle
The formula used is: [tex]Area\:of\:rectangle=Length\times Width[/tex]
Putting values and finding width of rectangle
[tex]Area\:of\:rectangle=Length\times Width\\32=(w+4)\times w\\32=w^2+4w\\w^2+4w-32=0[/tex]
We need to solve this quadratic equation to find width (w)
We will use factorisation and break the middle term.
[tex]w^2+4w-32=0\\w^2+8w-4w-32=0\\w(w+8)-4(w+8)=0\\(w-4)(w+8)=0\\w-4=0\:or\:w+8=0\\w=4\:or\:w=-8[/tex]
Since width of rectangle can't be negative, so rejecting w=-8
Therefore, the width of rectangle w = 4 units
which of these are equivalent ways of expressing -3/5 choose ALL that apply
A( -3/5
B( -3/-5
C( -3 divided by -5
D( 3/-5
E( -3 divided by 5
F( 3 divided by -5
Reggie started a running program to prepare for track season. Every day for 60 days, he ran a half hour in the morning and a half hour in the evening. He averaged 6.5 miles per hour. At this rate, what is the total number of miles Reggie ran over the 60-day period?
Answer: 390 miles
Step-by-step explanation:
Reggie ran for half an hour in the morning and half an hour in the evening.
That is a total of 1 hour for the day.
He runs 6.5 miles in one hour.
In 60 days he would have ran;
= 60 * 6.5
= 390 miles
Which is larger, the sum of the areas of square A and B or the area of Square C, and how do you know
Answer:
I believe they are equal but I'm not for sure
Pls help will give brainiest
Answer:
2
Step-by-step explanation:
and I need help with these too please! I need to find the area of the shaded region please
Answer:
14m²
Step-by-step explanation:
The shaded triangles are congruent using SAS congruency
So
The area of shaded is
(½×2×7)×2 m²
(7)×2 m²
14m²
Find the area of this triangle.
7
19°
12
? ] square units
Round to the nearest tenth.
Answer:
area is 13.7^2
Step-by-step explanation:
7×12=84
84÷2=42
sin(19°)=0.3256
42×0.3256=13.7
Answer:
the area is 13.7^2
Step-by-step explanation:
can you please add me on brainlist
The value of a car is $15,000 and the depreciates at a rate of 10% per year. What's the car value by the 8th year
Answer: $3,000.
Step-by-step explanation: The 10% of $15,000 is %1,500, so the value of the car drops by $1,500 each year. So, in eight years (8 years x $1,500), the value will drop by $12,000. Therefore, the price of the car in eight years will be the original amount minus the depreciating amount ($15,000 - $12,000), this will be $3,000.
Which statement is true of the function f(x) = -3^sqrt x ? Select three options.
The function is always increasing.
The function has a domain of all real numbers.
The function has a range of {y|–infinity < y < infinity }.
The function is a reflection of y = .3^sqrt x
The function passes through the point (3, –27).
Do you mean [tex]f(x)=-3^{\sqrt x}[/tex], as in the negative of 3 to the power of √x ? Or [tex]f(x)=-\sqrt[3]{x}[/tex], as in the negative cube root of x ?
If you mean [tex]f(x)=-3^{\sqrt x}[/tex], then, going through each option:
• no: the square root component is defined only for x ≥ 0, for which we have √x ≥ 0 and hence f(x) < 0 for all x in the domain. √x is an increasing function, so the powers of 3 get successively larger, so f(x) would be always decreasing;
• no: as mentioned above, the domain would be all non-negative numbers;
• no: at minimum, x = 0 which gives f (0) = -3⁰ = -1, and because f(x) is decreasing over its entire domain, the range would be {y | y ≤ -1};
• no: again, a bit of ambiguity, but assuming you mean to say here [tex]y=3^{\sqrt x}[/tex], yes, f(x) would be a reflection of y across the x-axis;
• and finally, no: [tex]f(3)=-3^{\sqrt3}\approx-6.705[/tex]
so that only the fourth option would be true.
On the other hand, if you mean [tex]f(x)=-\sqrt[3]{x}[/tex], then:
• no: the function is always decreasing;
• yes: the domain is all real numbers;
• yes: the range is {y | -∞ < y < ∞};
• yes: f(x) is a reflection of y=∛x, also about the x-axis; and
• no: f (3) = -∛3 ≈ -1.442
I suspect you mean the second case, since it's a bit simpler to approach.
Answer:
b,c,d
Step-by-step explanation:
Just took the test
PLEASE HELP ME, THIS IS DUE IN 10 MINS
Answer:
2 looks good I & IV
Step-by-step explanation:
Can someone help me solve this
Answer: x=-30
Step-by-step explanation: -1/5x(-5)=6(-5) x=-30
2. Find the distance between the points K(-2, 3) and L(4,7)
Answer:
7.21 (7.211103 exact)
Step-by-step explanation:
In this question, we have to find the distance of the two points.
To do so, we would use this equation: d = √(x2-x1)² + (y2-y1)²
Plug in your coordinates and solve:
d = √(4+2)² + (7-3)²
d = √(6)² + (4)²
d = √36 + 16
d = √52
Now, get the square root of 52:
d = 7.211103
The distance of each coordinate would be around 7.21
A tennis ball is in a cylindrical container. The ball has a radius of 5 inches and the cylinder has a height of 8 inches. How much wasted space (air) is there in the container? The tennis ball touched the sides, top, and bottom of the container.) Give your answer in terms of pi. *
Answer:
104.7 in^3
Step-by-step explanation:
Step one:
given data
The ball has a radius of 5 inches and
the cylinder has a height of 8 inches
Step two:
The volume of the cylinder
[tex]v= \pi r^2 h[/tex]
substitute our data
[tex]v= 3.142*5^2*8\\\\v=628.4in^3[/tex]
The volume of the ball
[tex]v=4/3 \pi r^3[/tex]
substitute our data
[tex]v= 4/3 *3.142*5^3\\\\v= 523.7 in^3[/tex]
The space will have a volume of
=628.4-523.7
=104.7 in^3
Solve the inequality.
10. -3p > -48 (1 point)
O p<16
O p>-51
O p<-16
O p> 16
What one
Answer:
p < 16
Step-by-step explanation:
-3p > -48
Divide both sides by -3. Remember to change the direction of the inequality sign when you multiply or divide by a negative number.
-3p/(-3) < -48/(-3)
p < 16
Answer: p < 16
Please solve!!!!!!!!!
Answer:
Y - Adds by -5X - Adds by 2Step-by-step explanation:
It adds by negative 5 because if you add up all of the math and equations, it will all fit together.
Here's an example.
The first one is 3 and -2, so lets add -2 by 5.
-2 + 5 = 3 --- 1st row
We can figure this out by subtracting 2 by 5, which equals 3.
( This does not apply to all equations. )
Let's add all of them by 5 now.
-7 + 5 = -2 --- 2nd row
-12 + 5 = -7 --- 3rd row
On the last row, we add -12 by -5 and you get -17.
-17 + 5 = -12 --- 4th row
That's how you figure it out.
Hope this helps! <3
Given: -3(x - 6) + 4(x + 1) = 7x - 14
Step 1: -3x + 18 + 4x + 4 = 7x - 14
Step 2: -3x + 4x + 18 + 4 = 7x - 14
Step 3: 1x + 22 = 7x - 14
Step 4: 1x - 1x + 22 = 7x - 1x - 14
Step 5: 22 = 6x - 14
I need help with this I am confused!?
Answer:
it is correct step
Step-by-step explanation:
it has no wrong in it b/c it subtract 1x from both side
Joséphine noticed that out of 10 e-mails she
of advertisements she will receive in the next100 e-mails?
evedl were
nents. WVhat can she predict about the numbe
O She will receive 7 advertisements
O She will receive 10 advertisements
O She will receive 70 advertisements
O She will receive 90 dvertise ements
Answer:
The answer is C
I did the quiz on edge
help me! giving brainliest if u get it right, also show explanation (it isnt 34)
Hope this will help you
Answer:
x = 34°Step-by-step explanation:
Use property of exterior angles:
Exterior angle = sum of non-adjacent interior anglesHere we have:
∠D + ∠E = ∠EFG∠EFG = ∠EFH + ∠HFG = 90° + 42° = 132°So the equation is:
2x + 64° = 132°2x = 132° - 64°2x = 68°x = 68°/2x = 34°If you think it is not 34°, then your question must be asking to find something else (e.g. angle D, which is 68°)
evaluate 13 - 0.75y + 8x when w =12 and x=1/2
Note: I am assuming you meant to write the value of y = 12 instead of w = 12.
So, I am assuming y = 12
Answer:
The value of 13 - 0.75y + 8x when we substitute y = 12 and x = 1/2 will be: 8
Step-by-step explanation:
Given the expression
[tex]13\:-\:0.75y\:+\:8x[/tex]
Given
y = 12x = 1/2substituting y = 12 and x = 1/2 in the expresion
[tex]13\:-\:0.75y\:+\:8x=13\:-\:0.75\left(12\right)\:+\:8\left(\frac{1}{2}\right)[/tex]
[tex]=13-0.75\cdot \:12+8\cdot \frac{1}{2}[/tex]
[tex]=13-9+4[/tex]
[tex]=8[/tex]
Therefore, the value of 13 - 0.75y + 8x when we substitute y = 12 and x = 1/2 will be: 8
which one is greater 3.406 or 3.501
Answer:
hi its 3.501
Step-by-step explanation:
Catron evaluates the expression (-9)(2 2/5 using the steps below
Answer:
The answer is "-21.6".
Step-by-step explanation:
In the given question, there is a mistype in the equation so, its correct equation can be defined as follows:
Given:
[tex]\to (-9) (2 \ and \ 2/5) = (-9)(2+ \frac{2}{5})[/tex]
[tex]= (-9 \times 2 )+ (-9\times \frac{2}{5})\\\\= (-18 )+ ( -\frac{18}{5})\\\\= -18 -\frac{18}{5}\\\\= \frac{-90-18}{5}\\\\= - \frac{108}{5}\\\\=- 21.6[/tex]
OR
[tex]\to (-9)(2+ \frac{2}{5})= (-9) (\frac{10+2}{5})[/tex]
[tex]= (-9) (\frac{12}{5})\\\\= (-9) (2.4)\\\\=-21.6[/tex]
5. The length of two sides of a right triangle are leg: 9
m and hypotenuse: 16 m. Find the length of the
third side. Round to the nearest tenth if necessary.
A. 28.8 m
B. 13.2 m
C. 104 m
D. 14.4 m
Answer:
B. 13.2 m
Step-by-step explanation:
Using the Pythagorean theorem, which is a^2 + b^2 = c^2, you can substitute in 9 for a and 16 for c. This puts it at 9^2 + b^2 = 16^2, which equals 81 + b^2 = 256. Subtract 81 from both sides to get b^2 = 175. Take the square root of both sides to get b = sqrt 175. The sqrt of 175 rounded to the nearest tenth is 13.2