John's membership in the gym and Madison's party are illustrations of linear equations.
1. John's equation
The given parameters are:
[tex]\mathbf{Base = 75}[/tex]
[tex]\mathbf{Monthly = 30}[/tex]
The monthly expression is:
[tex]\mathbf{f(m) = Base + Monthly \times m}[/tex]
So, we have:
[tex]\mathbf{f(m) = 75+ 30 \times m}[/tex]
[tex]\mathbf{f(m) = 75+ 30m}[/tex]
For 6 months, we have:
[tex]\mathbf{f(6) = 75+ 30 \times 6}[/tex]
[tex]\mathbf{f(6) = 255}[/tex]
Hence, the expression that represents the situation is [tex]\mathbf{f(m) = 75+ 30m}[/tex], and the amount for 6 months of membership is $255
2. Madison's party
The given parameters are:
[tex]\mathbf{Cake = 18.50}[/tex]
[tex]\mathbf{Balloon = 20}[/tex]
[tex]\mathbf{Total = 63.50}[/tex]
Let n represent the cost of each balloon.
So, the equation is:
[tex]\mathbf{Cake + Balloon \times n = Total}[/tex]
This gives:
[tex]\mathbf{18.50 + 20 \times n = 63.50}[/tex]
Subtract 18.50 from both sides
[tex]\mathbf{ 20 \times n = 45}[/tex]
Divide both sides by 20
[tex]\mathbf{ n = 2.25}[/tex]
Hence, the expression that represents the situation is [tex]\mathbf{18.50 + 20 \times n = 63.50}[/tex], and the cost of each balloon is $2.25
Read more about linear equations at:
https://brainly.com/question/11897796
Twenty-five friends share equally the cost of buying a $200 gift. How much money does each person contribute?
Answer:
Each friend contributes 8 dollars
Step-by-step explanation:
200 ÷ 25 = 8 dollars
so each friend contributes 8 dollars
Answer:
Each person contributes $8
Step-by-step explanation:
200/25= 8
hihii who knows the answer to this question??
Part A
x = some unknown number
2x = doubling that number
2x+11 = adding on eleven
Answer: 2x+11 = 25=============================================================
Part B
If we knew what x was, then we can compute 2x+11 using the order of operations PEMDAS. Because x is unknown, we follow PEMDAS in reverse to isolate x.
So we'll undo the addition first by subtracting 11 from both sides. Then we undo the multiplication by dividing both sides by 2.
2x+11 = 25
2x+11-11 = 25-11 ..... subtract 11 from both sides
2x = 14
2x/2 = 14/2 ...... divide both sides by 2
x = 7
The number the person thought of was 7. Double 7 to get 14. Add on eleven to get 14+11 = 25.
Answer: x = 7Write an equation for the line that goes through (-2,6) and is parallel to the line y=1/2x+9
Answer:
y = 1/2x + 7
Step-by-step explanation:
Parallel lines have the same slope.
Therefore the new equation will have a slope(m) = 1/2
Substitute m = 1/2 and point (-2, 6) into y = mx + b to solve for "b"
y = mx + b
6 = 1/2(-2) + b
6 = -1 + b
7 = b
The new equation: y = mx + b
y = 1/2x + 7
What is the length of MN
PLZ HELP
1.) A desk at Target sales for $150.00. Sales tax is 8.5%. What is the total cost
the desk including sales tax? (1 pt)
Answer
Answer:
$162.75
Step-by-step explanation:
150 * 1.085 = 162.75
Nadia charges $7.00 an hour for babysitting. She babysits 19.50 hours the first week of the month and 19 hours the second week of the month. Suppose Nadia raises her rate by $0.70 an hour. How many hours would she need to work to earn the same amount of money she made in the first two weeks of the month?
Answer:
35
Step-by-step explanation:
19+19.50=38.5
38.5×7=269.5
269.5÷7.70=35
Examine the linear relationships.
Linear equation A: y=45x
Linear equation B is represented by this graph.
A line that passes through points (0, 2) and (5, 4).
© 2017 StrongMind. Created using GeoGebra.
Which statement is entirely correct?
Equation A has a steeper slope, because 45 is greater than 25.Equation A has a steeper slope, because 4 fifths is greater than
Equation B has a steeper slope, because 45 is greater than 25.Equation B has a steeper slope, because 4 fifths is greater than
Equation A has a steeper slope, because 52 is greater than 45.Equation A has a steeper slope, because 5 halves is greater than
Equation B has a steeper slope, because 52 is greater than 45.
Using linear functions, it is found that the correct option is:
Equation A has a steeper slope, because [tex]\frac{4}{5}[/tex] is greater than [tex]\frac{2}{5}[/tex].
A linear function has the following format:
[tex]y = ax + b[/tex]
In which:
a is the slope, which is the rate of change.The higher the slope, the steeper the function is:Linear equation A is given by:
[tex]y = \frac{4}{5}x[/tex]
Linear equation B passes through points (0, 2) and (5, 4). Since the slope between two points is given by change in y divided by change in x, we have that:
[tex]m = \frac{4 - 2}{5 - 0} = \frac{2}{5}[/tex]
Equation A has a higher slope, hence, it is steeper, and the correct option is:
Equation A has a steeper slope, because [tex]\frac{4}{5}[/tex] is greater than [tex]\frac{2}{5}[/tex].
A similar problem is given at https://brainly.com/question/20386726
2. The perimeter of a rectangle is 56m. The length is two less than four times the width. Find the length.
Answer:
Length=22 cm
Step-by-step explanation:
Perimeter=56 cm
let width=x
According to given condition:
length=4x-2 ...........(A)
Perimeter=2(length+width)
Substitute the values in above formula:
56cm=2(4x-2+x)
56cm=2(5x-2)
56cm=10x-4
(56+4)=10x
60 cm=10x
x=60cm/10
x=6cm
For the value of length :
Substitute the value of x in equation (A):
Length=4x-2
Length=4(6)-2 cm
Length=24-2 cm
Length=22 cm
If you have any confusion in this question, please let me know.
A pool is being filled at the rate of 66 gallons per hour. ?hours = 22gallons 1.5hours = ?gallons
Answer:
1/3 hours : 22 gallons
1.5 hours : 99 gallons
Step-by-step explanation:
set a proportion fo all of them
x hours : 22 gallons:
66 22
--- = ---
60 x
22/66 = 0.3333333333333 x 60
= 20 and convert to fraction
20/60 simplified is 1/3
1.5 hours : x gallons
66 x
-- = ---
1 1.5
1.5 / 1 = 1.5
1.5 x 66 = 99
x = 99
2315 x 584 / 591 x 841
Answer:
About 2.72 rounded
Step-by-step explanation:
PEMDAS
:))
ummmm help me cause i am the queen ya know
Answer:
80 square units
Step-by-step explanation:
I am in a rush so this might not be right but probably is
What is the square root of r^64
Answer:
the answer is 8
Step-by-step explanation:
because the (8)²is 8×8is 64
Find x in terms of the other letters a( x + b ) = c( x + d )
Answer:
[tex]x=\frac{cd-ab}{a-c}[/tex]
Step-by-step explanation:
The question is worded in a complicated way. All it says is to solve the equation for x. Do this by isolating x on one side of the equation.
First step is to distribute the a and c on either side,
ax+ab=cx+cdSubtract cx from both sides,
ax+ab-cx=cdNext, subtract ab from both sides,
ax-cx=cd-abThen, factor out x from the left side,
x(a-c)=cd-abFinally, divide both sides by a-c,
[tex]x=\frac{cd-ab}{a-c}[/tex]I need help with this what is 4x58
Answer:
232
Step-by-step explanation:
4*58=232
Solve the equation-10 +1 +7x =37
Answer:
Answer in Explanation
Step-by-step explanation:
-10 + 1 + 7x = 37
-9 + 7x = 37
Add 9 on both sides to leave 7x alone
7x = 46
Divide by 7 to leave x alone
x = 46/7 or 6.57
If the equation is positive 10 at the beginning instead of -10 then this is the answer for that:
10 + 1 + 7x = 37
11 + 7x = 37
Subtract 11 from both sides to leave 7x alone
7x = 26
Divide by 7 to leave x alone
x = 26/7 or 3.7
A number pattern was created by subtracting 28 from the previous term. If the starting value for the pattern was 117, which of the following shows the resulting pattern?
A.
117, 89, 61, 5...
B.
117, 89, 61, 33...
C.
117, 89, 63, 5...
D.
117, 89, 63, 33..
Answer:
B. 117, 89, 61, 33...Step-by-step explanation:
Starting point is 117 and common difference is - 28.
The first 4 terms are:
117117 - 28 = 8989 - 28 = 6161 - 28 = 33Correct sequence is B
Camilla thinks that -5 is less than -7 because 5 is smaller than 7.explain why Camilla is correct
Think of a vertical number line. The positive values count down as we move down this number line. The negative numbers count up, so to speak, as we move down the number line. So we have -1, -2, -3, ... as we move down. This indicates that -5 is not smaller than -7.
Diagram is below.
Can someone help me plzzzzz
1. Examine your selected object and the construction you made from 1.08. What transformations (translations, reflections, or rotations) can you find in the construction? (10 points)
Answer:
In this this construction reflections is present on the 2 line posts by the side. Why I say this is because the line post on the right reflected or translated to the right. Also the little line in the middle was a rotation and dilation, to stay between the posts. So this is why this stool took a translations, reflections, and rotations.
Hope this helps
Step-by-step explanation:
What is the value of the first term in an=n+6?
The answer please it’s from khan academy
Answer:
Step-by-step explanation:
Before removing brackets, multiply everything inside them by two.
2*1/5 m - 2 * 2/5 + 3/5
2/5 m - 4/5 + 3/5
2/5 m - 1/5
That's as much as you can do. No further reduction is possible.
Answer:
[tex]\frac{2m-1}{5}[/tex]
Step-by-step explanation:
[tex]2(\frac{1}{5} m-\frac{2}{5} )+\frac{3}{5}[/tex]
First, simplify [tex]\frac{1}{5} m[/tex] to [tex]\frac{m}{5}[/tex]:
[tex]2(\frac{m}{5} -\frac{2}{5} )+\frac{3}{5}[/tex]
Merge the denominators:
[tex]2(\frac{m-2}{5} )+\frac{3}{5}[/tex]
Simplify:
[tex]\frac{2m-4}{5} +\frac{3}{5}[/tex]
Merge the denominators again:
[tex]\frac{2m-4+3}{5}[/tex]
Simplify one final time:
[tex]\frac{2m-1}{5}[/tex]
Please mark brainliest if this helps you, and I can provide more information if needed.
Hello, this is my brother's homework. I'm a little bit confused since I studied this lesson a long time ago..Can someone help me? I am not sure about my answer..
Answer:
Length of side of square=25ftLength of three sides=3(25)=75ft
3ft=1m75ft=15mCost per metre=15.00
Total cost:-
[tex]\\ \sf\longmapsto 15(15)=225.00[/tex]
pls pls pls helpe with this:((((((
Step-by-step explanation:
9. option B
3,13
13 = 5(3) - 2
13 = 15 - 12 → 13 = 13
easy one for you folks.
Answer:
2/5
Step-by-step explanation:
Six out of 15 are full.
[tex]\dfrac{6}{15}=\dfrac{2*3}{5*3}=\dfrac{2}{5}[/tex]
Does 2/3 = 4/9? Explain
Answer:
No
Step-by-step explanation:
2/3 > 1/2
4/9 < 1/2
Answer:
The left side ( [tex]\frac{2}{3}[/tex] )
0.6 (bar notation)
does not equal to the right side ( [tex]\frac{4}{9}[/tex] )
0.4 (bar notation)
, which means that the given statement is false.
False
Two legs of a right triangle are each 70 cm. If one leg grows at the rate of 3cm/min and the other
shrinks at the rate of 5 cm/min.
A)how fast is the hypotenuse of the triangle changing 2 minutes later?
B)how fast is the area of the triangle changing 2 minutes later?
Answer: Let x = length (in cm) of the decreasing leg at time t seconds
Step-by-step explanation: I hope this was any help ϵ( ‘Θ’ )϶
how do i turn
[tex] \frac{63}{56} [/tex]
to a mixed fraction?
Step-by-step explanation:
63/56 = 9/8 = 1⅛.
hope this helps you.
Answer:
1 1/8.
Step-by-step explanation:
First divide 63 by 56 .
This gives 1 with a remainder of 7.
So we can write the mixed number as 1 7/56.
This simplifies to 1 1/8.
Mrs. Burns purchased 12 ears of corn for $5.76. What is the price per ear of corn?
Answer: 0.48
Step-by-step explanation: 5.76 divided by 12 equals 0.48 because that determined how much an ear of corn costs.
12 of the 28 dogs at the shelter are purebred what percent of the dogs are pure breed?HELP!
Answer:
57.142%
Step-by-step explanation:
28-12=16
16/28*100=57.142%
If x = 100, what is the value of x(x-4)?
Answer:
9,600
Step-by-step explanation:
100-4 is 96
96 times 100 is 9600