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.
What is the opposite of negative 21 or -21
Answer:
21
Step-by-step explanation:
thats the opposite of negative 21
Answer:
positive 21
Step-by-step explanation:
Using the scale 1 cm : 5 meters, Tamara calculated the length of her old gym to be 45 meters and the width to be 20 meters.
Using a new scale, 1 cm : 10 meters, she found the length of the new gym to be 90 meters.
The width of the new gym is
meters.
The length and width of the new gym are
times the length and width of the old gym.
Answer:
1.The width of the new gym is 40
2.The length and width of the new gym are
times the length and width of the old gym 2
Answer:
The width of the new gym is 40 meters.
The length and width of the new gym are 2 times the length and width of the old gym.
Step-by-step explanation:
solve simultaneous equations 4x+2y=7
3x-5y=-24
Answer:
x= -1/2
y= 4.5
Step-by-step explanation:
4x+2y=7
3x-5y=-24
First either make the x or y's the same. It is easier here to make the y's the same.
Multiply each of the first equation by 5 and the second one by 2.
x5 4x+2=7 x5 = 20x+10y=35
x2 3x-5y=-24 x2= 6x-10y=-48
20x+10y=35
6x-10y=-48 +both equations
26x=-13
/26
x=-1/2
Now substitute to find y.
4(-1/2)+2y=7
-2+2y=7
+2
2y=9
/2
y= 4.5
Hope this helped :)
-4 = - 17 + x linear equations
add 17 to both sides
13 = x
hope this helps
See attachment for math work and answer.
find the value of:
Answer:
the value is 6
Step-by-step explanation:
substitue
Combining like terms with rati
Combine like terms to create an equivalent expression.
-2.5(4x-3)
Answer: − 10 x + 7.5
Step-by-step explanation:
Answer:
− 10 x + 7.5
Step-by-step explanation:
Hope this helped!
Will give brainliest for the first and the correct answer.
Answer:
x=4
Step-by-step explanation:
Cross multiply both sides to get 2(3x)=(x+20). Simplify to get 6x=x+20. Subtract x from both sides to get 5x=20, and divide both sides by 5 to get 4 as the value of x. The value of x will be your answer.
Answer:
A.) x = 4
Step-by-step explanation:
If [tex]\frac {(x+20)} {2} = 3x[/tex], then we plugin values:
[tex]\frac {(4+20)} {2} = 12[/tex] which is equal to 3(4).
Susan rides her bicycle 5 miles in 1/2 of an hour. At this rate, how many miles could she ride in 2 hours?
Answer:
20 miles
Step-by-step explanation:
to find how many miles she travels in one hour, multiply by 2 to get 10, and then multiply it by 2 again to find 2 hours
Answer:
20 miles
Step-by-step explanation:
To find out how many miles can be ridden in 2 hours, multiply 1/2 and 5 by 4 to get both answers like so:
1/2 (4) = 2 HOURS
5 (4) = 20 MILES
Therefore, Susan can ride her bike 20 miles in 2 hours.
Give one real world example of rate to f change
Answer:
1, A horse runs 27 miles per hour (distance traveled changes by 27 miles for each hour)
Step-by-step explanation:
hope it helps!
1. Alexis went shopping for school supplies with $80 in his bank account. He bought a bunch of binders for $23, pens and pencils for $16, and a new backpack for $37. Did Alexis have enough money to purchase all these supplies? -
Answer: So alexis had $80 And he bought a bunch of binders for $23 So If you do the math you will get: $57 But then he buys pens and pencils for $16 So:
$57 - $16 = $41 And then he buys a new backpack for $37. So : $41 - $37 = $4
So yes he had enough to buy all the stuff and still had a little bit leftover!
Hope this helps!
Step-by-step explanation:
Evaluate x2 - 7xy for x = 7 and y = 3.
Answer:
-98
Step-by-step explanation:
I hope this help
Can someone please help me.
Answer:
linear
Step-by-step explanation:
to be a linear equation it needs to have consistent rate of change for x and y. its constant for x at +4 but not for y at +16 +8 and +16
HHHHHEEEEELLLLLPPPPP. MMMMMEEEEE
Answer:
Sorry if I’m wrong but is it ... 90???
Step-by-step explanation:
========================================================
Work Shown:
The given list is {95, 89, 99, 85, 82, 81, 99}
Sort this list from smallest to largest.
We then have this: {81, 82, 85, 89, 95, 99, 99}
Next we will erase the first and last items in that sorted list above
Doing so leads to this smaller list: {82, 85, 89, 95, 99}
Repeat the step from before. Erase the first and last items
We now have {85, 89, 95}
One more time lets erase the first and last items getting {89}
This shows that 89 is the very center item
Going back to {81, 82, 85, 89, 95, 99, 99} we see that 89 is at the center with three items below it (81,82,85) and three items above it (95,99,99)
Therefore, the median is 89.
----------------------------------
Another route to take is to count the number of items in {81, 82, 85, 89, 95, 99, 99}. You should count 7 items.
Add 1 and divide by 2 to get (7+1)/2 = 8/2 = 4
The median is in slot 4, which is exactly where 89 is located in the list {81, 82, 85, 89, 95, 99, 99}
Note: this trick only works if you have an odd number of items in a set.
Rewrite 8 2/5
as an improper fraction.
Answer:
42/5
Step-by-step explanation:
If you multiply the denominator (5) by the whole number you would get 40, so then, you add this to the numerator (2), you would get 42 after. So the answer would be 42/5 (you keep the denominator). You can trust my answer because I'm n middle school and this was in like elementary school :P
if y =32 when x =8 find y when x =30
Answer:
y = 120
Step-by-step explanation:
If y = 32 when x = 8, then y is 4 times the number of x. If x = 30, then (4)30 = 120.
What number goes before 8 but is not 7?
Answer:
7.01
7.02
7.03
7.04
and on and on till
7.99
or 7 1/100 7 2/100 and on and on
Step-by-step explanation:
ALGEBRA I
1
MODULE 1
A clothing company sells hats online to its customers. The price of each hat is p dollars. The
shipping cost is s dollars. The equation shown below can be used to find the total cost (c), in
dollars, when n hats are purchased.
C = np + S
A. Kayla bought two hats from a clothing store company for $9.99 each.
The cost of shipping for each order is $1.79. Write an equation that
can be used to find the total amount Kayla spent.
1
(use this space for work or to explain)
Equation:
(1 Pt)
Answer: C = (2)(9.99) + 1.79
C = $21.77
Step-by-step explanation:
Answer:
23.56
Step-by-step explanation:
2(9.99)+2(1.79)
2m=-6n-5
Solve for M
m= -3n -5/2
What is mathematical equation?
Equation is defined as the state of being equal and is often shown as a math expression with equal values on either side, or refers to a problem where many things need to be taken into account. An example of an equation is 2+2 = 3+1.
In the given equation,
2m = −6n −5
Divide by 2 on both sides, we get
2m/2 = −6n/2 −5/2
m = -3n - 5/2
Therefore, our value of m is in terms of n, which is -3n - 5/2
Read more about mathematical equation here:
https://brainly.in/question/14933717
#SPJ2
Match the properties with the steps to solving the following equation. 1/2(8x-6) = x+9
Answer:
Step-by-step explanation:
Given equation is,
[tex]\frac{1}{2}(8x-6)=x+9[/tex]
By distribution property,
4x - 3 = x + 9
By subtraction property of Equality,
4x - x - 3 = 9
3x - 3 = 9
By Addition property of equality,
3x = 3 + 9
3x = 12
By division property of equality,
[tex]\frac{3x}{3}=\frac{12}{3}[/tex]
x = 4
What two perfect squares does 11 sit in
between?
hich statements are true? Check all that apply. Negative 2.5 = negative 2 and one-half –1.5 > –0.5 –0.5 < 0 –2.5 < –2 1 and one-half greater-than 1.5
Answer:
Negative 2.5= negative 2 and one-half, -0.5<0, -2.5 < -2.
Step-by-step explanation:
Put the words in numbers and symbols first and separate the sentence
Answer:
A C D
Step-by-step explanation:
Trust me on this I got it correct.
Find the product
(7+2u) (7-2u)
Options:
a) 49+4u
b) 49-4u(square root sign)
c) 4u(square root sign) - 49
Answer:
b
Step-by-step explanation:
if you mean squared and not square root, then it would be b because if you factor it back out, you will get the original expression back because of the subtraction of perfect squares.
Answer:
b) [tex]\boxed{\bold{(7+2u)(7-2u)=49-4u^2}}[/tex]Step-by-step explanation:
[tex](7+2u) (7-2u)=(7)(7)+(7)(-2u)+(2u)(7)+(2u)(-2u)=\\\\=49-14u+14u-4u^2=\ \underline{49-4u^2}[/tex]
What does it mean by "interpret its meaning"? I underlined it for you guys.
Answer:
1: 300 miles/hour; 2: 5$/hour; 3: 10$ sales price/20$ retail price.
Step-by-step explanation:
1: You have to find the amount of distance traveled per hour.
Answer: 300 miles per hour.
2. You have to find the amount of money earned per hour.
Answer: 5$ per hour.
3: You have to find the sales price per retail price.
Answer: 10$ of sales price per 20$ of retail price.
Plz I need your help I don’t understand
Answer:
1). 15.5 miles
2). 8.4 miles
3). 0.08 per ounce
Step-by-step explanation:
213 ÷ 6 = 15.5
25.2 ÷ 3 = 8.4
0.96 ÷ 12 = 0.08
Hope this helps!!
You are preparing a case study on the dallas cowboys. You use many methods of data collection in creating the case study. Here is an excerpt: the dallas cowboys were formed in 1960 and have had seven head coaches since then. I surveyed 100 people and one of the questions was, who is your favorite coach of the dallas cowboys? Seventy people said tom landry, fifteen said jimmy johnson, five said bill parcells, and ten answered other. One of those who answered other was my brother. I asked him which coach was his favorite and he said, "barry switzer because he was the last one to win a championship." i knew he was kidding because he had a smirk on his face. The excerpt relays information gathered from questionnaires, interviews, observations, and historical data. Identify the information from the case study that was collected by each of the four methods.
Answer:
The information that was collected by each of the four methods is;
The participant's favorite coach of the Dallas Cowboys.
Step-by-step explanation:
For each of the four methods listed, the question that stood out was the favorite coach of the Dallas Cowboys among the participants in the study.
Questionnaire: one of the questions was, who is your favorite coach of the Dallas cowboys?
Interview: I asked him which coach was his favorite
Observation: I knew he was kidding because he had a smirk on his face. This observation showed that Barry Switzer was not really his favorite coach.
Historical data: I asked him which coach was his favorite and he said, "Barry Switzer because he was the last one to win a championship." This historical data shows that the reason why Barry Switzer was chosen as the researcher's favorite coach was that he was the last to win a championship.
A line passes through the point (-6,6) and has a slope of 3/2.
Answer:
y=3/2x+15
Step-by-step explanation:
Answer:
y=3/2+15
Step-by-step explanation:
Please help I am so confused!
Answer:
D
Step-by-step explanation:
If you match what the numbers say you will see the answer is D
Estimate the square root of 19 to the nearest tenths place
66°
OT 6
11
12/13
Find the measure of the angle
Given the functions f(x) = 2x2 +5 and g(x) = 8+x find go f(-5)
A. 63
B.3.
C.2
D.23
Answer:
A. 63
Step-by-step explanation:
Given functions:
f(x) = 2x² + 5
g(x) = 8 + x
find:
g o f(-5)
Solution:
Start first by finding f(-5);
f(x) = 2x² + 5
= 2(-5)² + 5
= 50 + 5
= 55
Now
g o f(-5);
g(55) = 8 + 55 = 63