Given:
For gym A, initiation fee = $12 and cost = $10 per month.
For gym B, initiation fee = $20 and cost = $6 per month.
To find:
The equation that aims to find when these two gyms will cost the same amount of money,
Solution:
Let the number of months be x.
Cost function = Initiation fee + (cost)(x)
Cost function for gym A is
[tex]f(x)=12+10x[/tex]
Cost function for gym B is
[tex]g(x)=20+6x[/tex]
Cost of these two gyms are equal if f(x)=g(x).
[tex]12+10x=20+6x[/tex]
Therefore, the required equation is [tex]12+10x=20+6x[/tex].
On solving this equation, we get
[tex]10x-6x=20-12[/tex]
[tex]4x=8[/tex]
[tex]x=2[/tex]
Hence, after 2 months the cost of these two gyms are same.
A girl’s club held a fundraiser last year and raised $600 for the local soup kitchen. This year they raised $960. What is the percent change in the total amount raised by the girl’s club?
The percent change is 0.38%.
The percent change is 0.6%.
The percent change is 38%.
The percent change is 60%.
Answer: option D
Step-by-step explanation:
Answer:
D.) The percent change is 60%
Step-by-step explanation:
I know this because 960-600= 360
360÷600= .6
.6= .60
.60= 60%
Hope this helped!!! :)
can someone please answer these 2
Answer:
the second one is C
Step-by-step explanation:
Mrs moretti is making welcome bags to give to the 18 students in his homeroom on the first day of school. He puts m mechanical pencils in each bag. He puts twice as many regular pencils in each bag. Which expressions represent the total number of pencils Mr Moretti gives to his students? CHOOSE ALL THAT APPLY: a.) m+2m b.) 18(m+2m) c.) 18+m+2m d.) 18m+18(2m) e.) 54m f.) 18+3m
Answer:
b.) 18(m+2m)
d.) 18m+18(2m)
e.) 54m
Step-by-step explanation:
Given;
total number of Mr Moretti's students = 18
number of mechanical pencils for each student = m
total number of mechanical pencils for all the students = 18m
number of regular pencils for each student = 2m
total number of regular pencils for all the students = 18(2m)
The total number of pencils given to all the 18 students by Mr Moretti is given by;
T = Total mechanical pencils + total regular pencil
T = 18m + 18(2m)
T = 18(m + 2m)
T = 18(3m)
T = 54m
Therefore, based on the expressions above, the correct options include;
b.) 18(m+2m)
d.) 18m+18(2m)
e.) 54m
Answer:
18(m+2m)
18m+18(2m)
54m
Step-by-step explanation:
I took the quiz.
*Eight is added to three times a number 'x' gives 15".
Answer:
x+8 =15
x=15-8
x=7 .
this is the answer
Answer:
3x + 8 = 15
(If you wanted to solve it then:) x = 7/3
Step-by-step explanation:
Let's convert that into an equation.
Let "x" be the number.
3x + 8 = 15
If the question was to answer it, look below:
3x + 8 = 15
3x = 7
x = 7/3
Hope this helped! If not, please let me know! <3
Pictures, x
5
6 7
8
Profit, y
20
24
28
32
whats the fraction after being simplifyed?
Which expression is equivalent to 5 (h + 9)?
Answer:
5(m+9) = 5m+25
Answer:
5(m+9) = 5m+25
Step-by-step explanation:
durrrrrrrrrrrrrrr
What is the domain for a continuous function
Answer: the third one
Step-by-step explanation: C
PLEASE HELP ILL UP THE POINTS AND VOTE BRAINLIEST What is the equation of a line that has an undefined slope and passes through point (3,2)?
Answer:
x=3
Step-by-step explanation:
A line with an undefined slope is a vertical line where for each and every value of y ; x has the same value.
In this problem the x value is 3
Therefore the equation for the line is:
x = 3
please help me!! :)
Answer:
1/2
Step-by-step explanation:
hope this helps :o
The straight line 4x+5y-20 = 0 cuts the X-intercept, Y-intercept and hence find area of traingleAOB
Answer:
The area of the triangle AOB is 10
Step-by-step explanation:
The line 4x+5y-20=0 forms a triangle AOB as shown in the figure below. The points A and B are the y-intercept and x-intercept respectively, and the point O is the origin.
To find the intercepts, we set the other variable to zero and solve the resulting equation.
Set x=0, the y-intercept is found as follows:
4(0)+5y-20=0
5y=20
y=20/5=4
The y-intercept is y=4
Set y=0, the x-intercept is now found:
4x+5(0)-20=0
4x=20
Solve:
x=20/4=5
The x-intercept is x=5
Now, knowing the base b and the height of the triangle h are 5 and 4 respectively, the area of the triangle is:
[tex]\displaystyle A=\frac{bh}{2}[/tex]
[tex]\displaystyle A=\frac{5\cdot 4}{2}=10[/tex]
The area of the triangle AOB is 10
A model of a rectangular patio and is a landscaping business will be enlarged by a scale factor of 2 when is installed in the customers backyard. The area of the new and larger I know they want to see square feet which is the area of the landscapers model
Answer:
The answer is "40 square feet".
Step-by-step explanation:
The formula of the area:
[tex]\bold{A = (2L \times 2W)}\\\\[/tex]
[tex]= 4LW \\\\[/tex]
if:
[tex]\to 4A = 160 \\\\[/tex]
[tex]= \frac{160}{4} \\\\ = 40 \ \ sq \ ft[/tex]
(1,9)
Write the interval as an inequality.
Answer:
1<x<9
Step-by-step explanation:
The parenthesis means that the inequality symbols are simply less than rather than less than or equal to. From there on, you just plug in the values on either side of x and you have your inequality.
14. Using 1 inch = 15 feet as the scale factor, what are the blueprint dimensions of a room in a model house that is actually 30 feet x 45 feet?
O2 in x 3 in.
O 3 in 2 in
O2 in x 2 in
O 3 in x 2 in
Please can anyone help me
Find the missing coordinate if the ordered pair is to be a solution to the given equation.
(-3, ?) for the equation 4x + y = 5
Answer:
17 (I think)
Step-by-step explanation:
substitue -3 in for x so 4(-3) + y = 5
-12+ y =5
+12 +12
y=17
Help me please I need to answer this
Tylond puts $5,000 into a savings account that earns 4%
simple interest. How much interest does he earn after 3
years?
Answer:
125,000
Step-by-step explanation:
What operation is happening in an additive pattern??
Multiplication
Subtraction
Addition
Division
Roses are sold for 1.50 each or 4 for $6.00 on a graph of roses vs the total price of the roses what would be the slope
Answer:
no
Step-by-step explanation:
unu
Step-by-step explanation:
do you have the answer now I need it please
Help plz if someone could answer this problems soon as possible that would be great. It is a geometrical proof Given: angle 1 and angle 2 are complementary angle 1 is congruent to angle 3 and angle 2 is congruent to angle 4 prove: angle 2 and 3 are complementary
Answer:
<2 + <3 = [tex]90^{o}[/tex]
Thus, angles 2 and 3 are complementary.
Step-by-step explanation:
Complementary angles are two or more angles that their sum equals [tex]90^{o}[/tex]. Given that: i. <1 and <2 are complementary
ii. <1 ≅ <3
iii. <2 ≅ <4
Prove that: <2 and <3 are complementary
Proof:
<1 + <2 = [tex]90^{o}[/tex] (complementary angles)
<1 ≅ <3 (congruent property)
<2 ≅ <4 (congruent property)
⇒ <3 + <4 = [tex]90^{o}[/tex] (complementary angles by congruent property)
Since <1 ≅ <3,
∴ <2 + <3 = [tex]90^{o}[/tex]
Thus, angles 2 and 3 are complementary
A bus makes a stop at 2:30, letting off 11 people and letting on 8. The bus makes another stop ten minutes later to let off 5 more people. How does the number of people on the bus after the second stop compare to the numbers of the people on the bus before the 2:30 stop ?
Answer:
The actual number of passengers on the bus falling by 8 after the second stop
Step-by-step explanation:
Assume that the total passengers on the bus before 2:30 was x
At 2:30:
11 passengers got off and 8 got on.
So, the number of passengers
= x - 11 + 8
= x - 3
10 minutes later:
5 passengers got off the bus
So, the number of passengers
number of passengers = (x - 3) - 5
number of passengers = x - 8
now by comparing,
The actual number of passengers on the bus falling by 8 after the second stop
What is the value of b in this diagram?
A. 12
B. 10.2
C. 9
D. 8
Answer:
It is NOT c
Step-by-step explanation:
I clicked c and it was wrong lol.
Answer:
its D
Hope this helps ⊂◉‿◉つ
Can someone please Help me. ( picture included)
Answer:
The height of the flagpole is 20 feet.
Перечислите все целые числа, расположенные между числами –6,6 и –1,2.
Answer:
-6, -5, -4,-3,-2
Step-by-step explanation:
Целые числа - это просто целые числа, положительные или отрицательные. Целые числа - это числа без дробных частей. Целые числа от -6,6 до -1,2 следующие:
-6,-5,-4,-3,-2
Help me solve this problem please
Answer:
-8
Step-by-step explanation:
[tex] \frac{8 - 2x}{12} = 2[/tex]
[tex]8 - 2x = 24[/tex]
[tex] - 2x = 16[/tex]
[tex]x = - 8[/tex]
8- 2x/12 = 2
Multiply both sides by 12:
8 - 2x = 24
Subtract 8 from both sides:
-2x = 16
Divide both sides by -2:
X = -8
if the weight of an object is 900 newton what is its mass. plz tell answer fast I will mark you as the brainlest.
≈ 92 kg
Step-by-step explanation:Hi there !
w = m×g => m = w/g
g = 9.8m/s² = 9.8m·s⁻²
w = 900N = 900kg⋅m⋅s⁻²
m = 900kg⋅m⋅s⁻²/9.8m·
= 91.83 kg
≈ 92 kg
Good luck !
The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume of a gas is 600 cubic centimeters (cc) when the pressure is 300 millimeters of mercury (mm hg) , find the volume when the pressure is 400 mm hg
Answer:
V₂ = 450 cm³
Step-by-step explanation:
The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P.
[tex]V\propto \dfrac{1}{P}[/tex]
If V₁ = 600 cm³, P₁ = 300 mm hg, P₂ = 400 mm hg
We need to find a new volume. Using the above concept,
[tex]V_1P_1=V_2P_2\\\\V_2=\dfrac{V_1P_1}{P_2}\\\\V_2=\dfrac{600\times 300}{400}\\\\V_2=450\ cm^3[/tex]
So, when the pressure is 400 mm hg, its volume is 450 cubic centimeters
Which statement is TRUE? A) The area of the blue circle is greater than the sum of the areas of the green square and black circle. B) The area of the blue circle is less than the sum of the areas of the green square and black circle. C) The area of the blue circle is equal to the sum of the areas of the green square and black circle. D) The area of the blue circle is twice the sum of the areas of the green square and black circle.
Answer:
C. The area of the blue circle is equal to the sum of areas of green square and black circle.
Step-by-step explanation:
The area of a circle is the circumference of the circle measured with its diameter. In the given scenario the area of the blue circle is greater than the area of black circle. This is because of the difference in diameter of the two circles. The area of green square plus the area of black circle equals the blue circle.
who ever answers i will give brainliest :>
Answer: a) 4 b) -3 c) 2
Step-by-step explanation:
a) m = (6 - 2)/(1 - 0) = 4
b) (0, 3), (1, 0)
m = (0 - 3)/(1 - 0) = -3
c) (1, 3), (2, 5)
m = (5 - 3)/(2 - 1) = 2
Jack feeds his dog 34 cups of dog food every day. How many days will 6 cups of dog food feed Jack's dog?
Answer:
Dog food will be enough for 8 days
Brainliest pls
Step-by-step explanation:
Solve the absolute value equation. |2x-31| = 17
Answer:
x = 24 x = 7
Step-by-step explanation:
|2x-31| = 17
Absolute value equations have 2 solutions, one positive and one negative
2x-31 = 17 and 2x-31 = -17
Add 31 to each side
2x-31+31 = 17+31 and 2x-31+31 = -17+31
2x = 48 2x = 14
Divide by 2
2x/2 = 48/2 2x/2 = 14/2
x = 24 x = 7
Answer:
24
To find:
x
Step-by-step explanation:
2x-31 = 17
2x=17+31
2x=48
x=48/2
x=24
hope it helps you!