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
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Find the measure of the angle marked with a question mark using inverse trig
functions. Round your answer to the nearest degree. Enter the number only.
I need the answer quick
Applying the tangent ratio, the value of x in the right triangle is approximately: 5.
What is the Tangent Ratio?Tangent ratio that can be applied to solve a right triangle is expressed as: tan ∅ = opp/adj.
Given the following:
∅ = 63°Opp = 10 Adj. = xtan 63 = 10/x
x = 10/tan 63
x ≈ 5
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what is half of 56 ft or 56 mm
Do you want the half of 56 ft or 56 mm? In both the case, you'll get the same value...you just need to change the unit.
Half of 56 ft
= ½ × 56
= 56/2
= 28 ft
Half of 56 mm
= ½ × 56
= 56/2
= 28 mm
_______
Hope it helps ⚜:))
What is dehydrogenation ?
Answer:
Dehydrogenation is the a chemical reaction that involves the removal of hydrogen, usually from an organic molecule. It is the reverse of hydrogenation. Dehydrogenation is important, both as a useful reaction and a serious problem.
What is the value of x in the equation ?
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
This is our equation
[tex]2.5\left(6x-4\right)=10+4\left(1.5+0.5x\right)[/tex]
First off we can distribute the 2.5 and the 4
Now our equation is [tex]15x-10=10+6+2x[/tex]
subtract [tex]2x[/tex] from both sides
[tex]13x-10=16[/tex]
add [tex]10[/tex] to both sides
[tex]13x=26[/tex]
Divide both sides by [tex]13[/tex]
[tex]x=2[/tex]
Given that p varies directly as q and
[tex] \sqrt{q} [/tex]
varies inversely with t², show how p varies with t.
Answer:
p varies inversely with t⁴Step-by-step explanation:
Direct variation:
y = kx, where k is constantInverse variation:
y = k/x, where k is constantGiven:
p = kq (1)and
√q = k/t² (2)From the first equation we can see:
kq = p ⇒ q = (1/k)p ⇒ q = np, where n is a constantIt means if p varies directly as q, then q directly varies as p.
Square the second equation:
q = k²/t⁴ = m / t⁴, where m is constantSince p varies directly as q and q varies inversely with t⁴, we can state p varies inversely with t⁴.
please someone help. I really need help with this question. I will give brainliest
Answer:
3/200
Step-by-step explanation:
total medicine = 9/50 liter
evenly divided into 12
so 1 prescription = 9/50 / 12
= 9/50*12
=3/50*4
=3/200
Which expressions are equivalent to 35x + 3. Select the TWO that apply.
25x + 315x
45x - 15x + 3
25x + 335x - 1
1 + 35x + 2
1 + x5+ 2
1 + 25x + 3
help plssss PLSS I BEG YOu
Answer: Just Try to Do somthing because i cant tell you the Answer
Step-by-step explanation:
Pls solve this I don't get it
David was thinking of a number. David doubles it, then adds 3 to get an answer of 81. 6. What was the original number?.
Answer:
The answer is 39.3
Step-by-step explanation:
81.6 - 3 = 78.6
78.6 ÷ 2 = 39.3
Samir's sister goes for kathak dance lessons on Tuesday ,Thursday and Saturday every week .If each lesson lasts 50 minutes ,how much time did he practice dance at her class in 3 weeks?
Answer:
450 minutes or 7.5hours
Step-by-step explanation:
for 1 week = 50 *3 (min)
=150 minutes
for 3 weeks = 150* 3(min )
=450 minutes
Artem drives 12.6 miles in 12 minutes. He passes a sign which gives the speed limit as 50 mph. By how much, in mph, did Artem's average speed exceed the speed limit?
Consider the number 9,953. Is this number divisible by 2, 3, 4, 5, 9, or 10? Provide justification for each number without using a calculator. Hint: If a number is not divisible by 2, then what other numbers is it also not divisible by?
Answer:
Divisible by none
Step-by-step explanation:
9,953 is odd
9+9+5+3 = 2 + 6 = 8 (not divisible)
53/4 is not a whole number
9,953 doesn't end with 5 or 0.
9 + 9 + 5 + 3 = 26 (not divisible by 9)
9,953 has no 0 at end.
You are welcome!
Kayden Kohl
8th Grade Student
The number 9,953 is divisible by neither of the digits 2, 3, 4, 5, 9, 10.
What is the importance of knowing divisibility rules?The importance of knowing divisibility rules is that we can determine whether a number is divisible by certain numbers generally from 1 to 20 or not without actually dividing.
Given, 9,953. Is this number divisible by 2, 3, 4, 5, 9, 10 or not.
A number is divisible by 2 if it's unit digit is divisible by 2.
A number is divisible by 3 if the sum of the digits is divisible by 3.
A number is divisible by 4 if the last two digits is divisible by 4.
A number is divisible by 5 if its unit digit is 5 or 0.
A number is divisible by 9 if the sum of the digits is divisible by 9.
A number is divisible by 10 if its unit digit is 0.
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Nicole makes $26,400 per year. Her monthly rent is 25% of her monthly income. (find the monthly income to find the monthly rent) What is her monthly rent? I assume $26,375?
a line passes through the point (10,-5) and a slope of -3/2
Write an equation in slope-intercept form for this line.
Answer:
y = -3/2x + 10
Step-by-step explanation:
The slope = -3/2
Using the slope = -3/2 and the point (10, -5) substitute into y = mx + b and solve for "b"
y = mx + b
-5 = -3/2(10) + b -3/2 · 10 = -30/2 = -15
-5 = -15 + b
-5 + 15 = b
10 = b
The equation of the line is y = -3/2x + 10
Nick sketches the graph of y = 0.5' for x 20 y 0.5 of Make one criticism of his sketch.
Answer:
the graph would just be a straight line going up at points (0, 0.5)
Step-by-step explanation:
This would have no slope
GIVING BRAINLIEST PLEASE HELP! :D
Answer:
x+20=41
Step-by-step explanation:
You already have some number of seashells, x, and add 20. Then you have 41, so:
x + 20 = 41
Hope that helps! :)
-8,-8,-6,-2,4,12,22
What. Is the answer
Answer:
-8-8-6-2= -24, -24+4+12+22=14
Find the GCF of the set of numbers.
8 and 12
Enter the correct answer in the box.
Answer:
4
Step-by-step explanation:
prime factorization of 8 is 2x2x2
prime factorization of 12 is 2x2x3
2x2 are the only common factors, therefore GCF is 4
Answer:
4 is the GCF
Step-by-step explanation:
12/4 = 3
8/4 = 2
what is the coordinates of the point?
Answer:
Step-by-step explanation:
3,2
Answer:
2,3 because the point is inside the origin or equivalent so the answer has to be 2,3
help me pleaseeeeee!!!!!!
Answer:
A' (1, -1) B' (4, -5) C' (6, -2)
Step-by-step explanation:
Since you're reflecting over the x (horizontal) axis, the y value has to change to show the height is increasing or decreasing (Decreasing in this case).
A (1, 1) --> A' (1, -1) So (x,y) becomes (x,-y)
Hope this helps!
Your visually impaired friend asked you to enlarge your notes from class so he can study. You took notes on 8.5-inch by 11-inch paper. The enlarged copy has a smaller side with a length of 10 inches. What is the scale factor of this dilation?
Find the scale factor.
Answer:FINDING A SCALE FACTOR Your visually impaired friend asked you to enlarge your notes from class so be can study. You took notes on 8.5-inch by 11-inch.
Step-by-step explanation:thank you
The scale factor is 20/17.
According to the question, you took notes on a paper with dimensions 8.5 inches × 11 inches.
the breadth of the paper is 8.5 inches
the length of the paper is 11 inches
Now, to make an enlarged copy, you used a paper that has its smaller side dimension of 10 inches.
Which means the breadth of the new paper is 10 inches.
So, if we calculate the ratio of the breadths we get the scale factor.
k = 10 / 8.5
k = 20/17 is the scale factor of dilation.
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Richard sold cupcakes and cookies yesterday. Each cupcake sold for $1.75 and each cookie sold for $0.75. At the end of the day, Richard had sold $49.25 worth of cookies and cupcakes. If he sold 35 cupcakes and cookies combined, how many cupcakes were sold and how many cookies were sold?
Answer:
20 cupcakes
15 cookies
Step-by-step explanation:
20*$1.75=$35
15*$0.75=$14.25
$35+$14.25=$49.25
Answer:
23 cupcakes and 12 cookies
Step-by-step explanation:
Nate earns extra money on the weekends mowing lawns. He charges $14.00$ to work for the first hour. He charges $10.50 for each additional hour. Let hh equal the number of hours after the first hour. Which expression represents how much Nate charges?
Answer:
m=14+10.50h
Step-by-step explanation:
h represents hours. m represents how much he makes
he's going to get 14 dollars, plus 10.50 times however many hours he works.
A single basket basketball match will be organized by forming 3 teams in equal numbers from a group of 9 students. In how many ways can these three teams be formed?
~combination
[tex] \large \sf C(n,r) = \frac{n!}{(n-r)! .r!} [/tex]
[tex] \large \sf = C(9,3) = \frac{9!}{(9-3)!.3!} [/tex]
[tex] \large \sf = \frac{9!}{6!.3!} [/tex]
[tex] \large \sf= \frac{(9.8.7.6.5.4.3.2.1)}{(6.5.4.3.2.1).(3.2.1)} [/tex]
[tex] \large \sf = \frac{362880}{720.6} [/tex]
[tex] \large \sf = \frac{362880}{4320} [/tex]
[tex] \large \sf = \boxed{84}\: ✓[/tex]
~ nice to help you ^^
On the accompanying grid, draw and label quadrilateral ABCD with points A(1,2), B(6,1), C(7,6), and D(3,7). On the same set of axes, plot and label quadrilateral A′B′C ′D′, the reflection of quadrilateral ABCD in the y-axis. Determine the area, in square units, of quadrilateral A′B′C′D′.
Answer: Refer to figure 1 for the diagram needed.
A ' = (-1, 2)
B ' = (-6, 1)
C ' = (-7, 6)
D ' = (-3, 7)
Area = 24 square units
============================================================
Explanation:
Start by drawing an xy axis. Plot the given points A,B,C,D on this grid.
To reflect any given point over the y axis, we apply this rule
[tex](x,y) \to (-x,y)[/tex]
which means we change the sign of the x coordinate, but keep the y coordinate the same. For example, a point like A(1,2) moves to A ' (-1,2). The other points are handled in a similar fashion.
After all of the points have been reflected, you'll get what is shown in figure 1.
------------------
To find the area of quadrilateral ABCD, we can form a bounding box as small as possible around the quadrilateral. Refer to figure 2.
The area of rectangle FEHG is 6*6 = 36 square units
Then we subtract off the areas of these four outer triangles
Triangle AED = 5*2/2 = 5Triangle AFB = 1*5/2 = 2.5Triangle BCG = 1*5/2 = 2.5Triangle CDH = 1*4/2 = 2Meaning we'll end up with 36-5-2.5-2.5-2 = 24 as the area of quadrilateral ABCD. Because a reflection is a mirror copy, quadrilateral A'B'C'D' will have the same area as ABCD.
what is the slope of the line
Answer:
slope = 3/2
Step-by-step explanation:
Step 1: Select two points from the graph.
(3,0) and (1,-3) are two points on the graph.Step 2: Apply the formula to find slope- [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]\frac{-3-0}{1-3}[/tex] [tex]\frac{-3}{-2}[/tex] [tex]\frac{3}{2}[/tex]Therefore, the slope is 3/2.
What is the length of segment AB?
A-5
B-6
C-8
D-10
(ASAP) I HAVE C- IN MATH RIGHT NOW AND I NEED TO GET UP MY GRADE PLSSS HELP
Answer:
Step-by-step explanation:
The product of a number, n, and 0.4 is 8:
(n)(0.4) = 8
n = (8/0.4)
n = 20
Please help me answer this ASAP
Answer:
1.15x - 0.7x
Step-by-step explanation:
You take the manufacturer’s price and add 15 percent, then subtract 70 percent of the used price from the retail price to get the answer.