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:
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What is the total weight of the steel gate
Answer:
Simple. since we know the weight per given length, we simply need to know the total length of all steel used. the perimeter is easy as it is given, 2×12 and 2×5 for a total perimeter of 24+10 or 34m. now the diagonals must be calculated...
since this is a right triangle, one could easily use a trig function to calculate, but to keep it simple pathag. theorum a2+b2=c2, where the 2 means squared. rearrange to c=sqrt(a2+b2), or 12 squared + 5 squared...giving 144+25=169. then take square rt of 169. this is length of one diagonal, remember to multiply by 2 since there are two diagonal pieces. add this to total perimeter of 34m above.
now that total length is known, simply multiply by weight/m for total weight
**remember units, as problems become complex keeping up with units can help u know if you are using right solving methods, like in heat transfer, energy equations, etc.
another mathh question
where is the Question!!!
can you plz give me brainliest I really need it
Your question is incomplete.
Please if you need help I will try to help you :)
Have a Good Day.
Graph the line passing though (-6,-1) whose slope is m= -4/3
y=-4/3x-9
hope it helps
Simplyfy (4^7/5^2)^3
need help with this.
First one is for number 2 and vice versa.
A box contains 6 black pens, 4 blue pens, and 7 red pens. Without looking, Clarissa randomly picks a black pen out of the box. If she chooses another pen out of the box without replacing the first one, what is the probability that she will pick a black pen both times? Write your answer as a percent.
Group of answer choices
Answer:
31.35%
Step-by-step explanation:
Initial reading:In the box, there are:
6 Black pens4 blue pens7 red pensTotal number of pens in the box = 6 + 4 + 7
= 17
If we count pens as outcomes the total number of possible outcomes are 17.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
New reading:Clarissa takes out a black pen from the box.
That reduces the number of black pens by 1 which increases the total number of pens by 1 as well.
So now:
Number of black pens = 6 - 1 = 5 Total number of pens = 17 - 1 = 16- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Probability:[tex] \boxed{ \mathsf{probability = \frac{favorable \: outcomes}{total \: outcomes} }}[/tex]
If we want her to pick up a black pen, and she ends up picking one. So, we can say that the outcome is in our favor.
That makes it,
the number of favorable outcomes = number of black pens= 5
and total outcomes = Total number of pens= 16
[tex] \implies\mathsf{probability = \frac{5}{16} }[/tex]
For showing it as some percent we'll just multiply the fraction by 100
[tex] \implies \mathsf{ \frac{5}{16} \times 100 }[/tex]
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
As a percent:[tex] \implies \mathsf{ \underline{ 31.25 \: \% } }[/tex]
how many teaspoons are in 15 milliliters? 1 tsp = 5 mL
Answer:
The number of teaspoons in 15 ml is 3 tsp.
Step-by-step explanation:
All you have to do is divide 15 by 5 and get 3. This is because for every 5 ml there is 1 tsp. So for the 15 ml, there is 3 tsp.
Which of the following is another way to express the difference between -5 and 8?
O-5+8
O-5-(-8)
O-5+(-8)
08-5
At Fenway park, they can sell 5000 hot dogs at $4 per dog. They also know that for each quarter (25 cents) they raise the price, they will sell 200 less hot dogs. How many hot dogs should they sell to make profit? Please I need this question by 11:30 pm I’ve been looking everywhere but can’t find answers.
2500 hot dogs must be sold to make a profit
If they can sell 5000 hot dogs at $4 per dog, the selling price for the 5000dogs will be expressed as:
SP= 4 * 5000
SP = 4 + 0.25x
Total number hot dog sold = 5000 - 200x
Revenue = Sales price*Total number hot dog sold
When the price is increased by $0.25 then the revenue will be expressed as [tex]g(x) = (4+0.25x) (5000 - 200x)[/tex]
Taking the product, the resulting function will be;
[tex]g(x) = -50x^2 + 1250x + 20000[/tex]
To get the maximum profit, we need to maximize the revenue by differentiating the function and equating it to zero to have:
[tex]g'(x) = -100x + 450\\0=-100x + 1250\\100x = 1250\\x = 12.5[/tex]
Substittute x = 12.5 into the total number hot dog sold function
Recall that n = 5000 - 200x
n = 5000 - 200(12.5)
n = 5000 - 2500
n = 2500
Hence 2500 hot dogs must be sold to make a profit
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HELP 25 POINTS LIKE HELP SOLVE THIS ASAP!!!
Answer:
nahhhh why did you report me I did nun wrong
Step-by-step explanation:
Helppppppppppp asapppppppppppp
Answer:
Step-by-step explanation:
First, you have to use the law of cosines which is c² = a² + b² - 2abcosФ where Ф is the angle measure between sides a and b. So, just plug-in a = 10, b = 12, and Ф = 72 into the equation and you will get (I won't show all the calculations):
c = 13.0321
Then plug that into the area formula to get:
(0.5)(10)(12)(0.225496911)
Which is about:
13.53
3 less than the quotient of a number and 5 is -7
Answer: The number is -20
Step-by-step explanation:
Take each part of the sentence and write what it is telling us:
3 less than the quotient of a number and 5 is -7
The quotient of a number and 5 is (X/5), where X is the "number."
3 less than is (X/5) - 3
is -7 is = -7
Therefore:
3 less than the quotient of a number and 5 is -7 is: (X/5) - 3 = -7
---
(X/5) - 3 = -7
(X/5) = -4
X = -20
===
See if this works:
3 less than the quotient of -20 and 5 is -7
(-20/5) = -4
Three kless than -4 is -7: It works
What is the opposite of the opposite of -1.9 situated on a number line?
Like whattt
The opposite of -1.9 on a number line would be 1.9.
The opposite of the opposite of -1.9 would be -1.9.
That is a super weird trick question... what kinda teacher would give that to you???
find all of the remaining angles
Step-by-step explanation:
angle 1 = 73°
angle 2 = 107°
angle 3 = 73°
angle 4 = 107°
angle 5 = 73°.
hope this helps you.
Can you write 8x=1 as a quadratic equation?
Answer:
yes
Step-by-step explanation:
The root of the given linear equation can be made to be a repeated root of a quadratic equation:
(8x -1)² = 0
Which equation matches the graph shown?
Answer:
Vertex form: y = -2(x - 1)²
Standard form: y = -2x² + 4x - 2
Step-by-step explanation:
Given the x-intercept as the vertex, (1, 0), and the y-intercept, (0, -2) as the two points on the graph of a parabola:
We can determine the equation by substituting these given values into the vertex form of the quadratic equation:
y = a(x - h)² + k
where:
a = determines the direction of where the graph opens, and the wideness or narrowness of the parabola.
(h, k) = vertex
Solve for the value of a:Use vertex: (1, 0) and y-intercept, (0, -2):
y = a(x - h)² + k
-2 = a(0 - 1)² + 0
-2 = a(-1)²
-2 = a(1)
-2 = a
Quadratic Equation:Vertex form:The quadratic equation in vertex form that matches the graph is:
y = -2(x - 1)² + 0 or y = -2(x - 1)² ⇒ This is the quadratic equation in vertex form.
Standard form:To transform the vertex form into the standard form, y = ax² + bx + c:
Simply expand the perfect square, (x - 1)², through FOIL method before distributing -2:
y = -2(x - 1)²
y = -2(x - 1)(x - 1)
y = -2(x² -2x + 1)
y = -2x² + 4x - 2 ⇒ This is the quadratic equation in standard form.
The price of a stock was $24.56 per share. An investor decided to spend $5,000 to buy shares of the stock. To the nearest whole number, what is the maximum number of shares of stock that the investor can buy
Answer:
203 i just did it
Step-by-step explanation:
Answer:
the answer is 203
Step-by-step explanation:
Just got it right on edge 22
Write 1 over 9 as a decimal and round it to 2 decimal places
Answer:
0.111
Step-by-step explanation:
1/9 as a decimal is 0.11111111 but rounded to 2 decimal places is 0.111.
Hope this helps :)
Have a good day / night
Step-by-step explanation:
1/9 converted to a decimal is 0.11111111111 to round it to any place if it is 5 or greater like this 0.55 rounded would be 0.6 because the second five is greater than four if not greater than four like this: 0.44 the rounded form will be 0.4 then get your answer!
Can you please answer this world problem? And please don't mind the numbers on top.
Answer: 5 1/15 feet
Step-by-step explanation:
For this you have to add fractions.
First find a common denominator between the factions which can be will turn into 15.
The fraction is now: 1 10/15 + 3 6/15
Now that the denominator is the same add the fractions.
1 10/15 + 3 6/15 = 5 1/15
Make the answer negative since its under sea level
Answer = -5 1/15 feet
solve: 9x-7≤28+4x;x€W
we have 9x - 7 ≤ 28 + 4x
⇔9x - 4x ≤ 28 +7
⇔5x ≤ 35
⇔x ≤ 7
ok done. Thank to me :>
I have an exercise that asks me: answer true or false, are the Italian regions washed by the sea a whole?
Answer:
Select an answer for each item. If you do not know the answer, you should make an educated guess. At the bottom of the test, you will be given your results. Questions 1-5. Read the following early draft of an essay and then choose the best answer to the question or the best completion of the statement. (1) Seaweed-based fuel could one day power ...
Step-by-step explanation:
Answer:
Is false because the Italian regions are partly bathed by the sea
Step-by-step explanation:
Help me pls I don't get it
Answer:
maybe A
Step-by-step explanation:
kim can mow the greens at the golf course twice as fast as shayla can. Working together, they can mow the greens in 4 hours. How long does it take kim to mow the greens alone
Answer: Kim can mow the greens alone in 6 hours.
Step-by-step explanation:
Let K be the rate Kim mows the greens, and S the rate for Shayla. The rates K and S will be in greens/hour.
We know they can mow 1 green in 4 hours. We can state this as a sum of their rates times the 4 hours equals one green:
(4 hours)*(K + S) = 1 green
We are told that K = 2S [Kim is twice as fast as Shayla]
Subsititute:
(4 hours)*(K + S) = 1 green
(4 hours)*(2S + S) = 1 green
4*(2S + S) = 1 green
12S = 1 green
Shalya's rate is 1 green/12 hours
Kim is twice as fast: K = 2S
Kim's rate is 1 green/6 hours.
Anrnav was 1.5m tall in the last couple years his height increased by 20%
How tall is anrav today?
Answer:
1.8 meters
Step-by-step explanation:
It was easy for me
Find the coordinates of the point(s) of intersection between the following functions: y=x-1 and y=117/x-5
Answer:
(-8.-9) and (14,13).
Step-by-step explanation:
y=x-1
y=117/x-5
As the 2 terms in x are both equal to y:
x-1 = 117/x-5
(x-1)(x-5) = 117
x^2 - 6x + 5 - 117 = 0
x^2 - 6x - 112 = 0
(x + 8)(x - 14) = 0
x = -8, 14.
When x = -8, y = -8-1 = -9
When x = 14, y = 14-1 = 13.
The required coordinate points are (-8.-9) and (14,13).
Functions and valuesGiven the following equations
y=x-1
y=117/x-5
Equating both function will give
x-1 = 117/x-5
(x-1)(x-5) = 117
x^2 - 6x + 5 - 117 = 0
x^2 - 6x - 112 = 0
(x + 8)(x - 14) = 0
x = -8, 14.
When x = -8, y = -8-1 = -9
When x = 14, y = 14-1 = 13.
Hence the required coordinate points are (-8.-9) and (14,13).
Learn more on intersection of function here: https://brainly.com/question/343077
Which is the correct quotient with a letter as the remainder?
Answer:
A
Step-by-step explanation:
876 divided by 43 = 20
and the remainder is 16
in the case of other options, the quotients are correct but the remainders are wrong.
Therefore, A is the option with both correct quotient and remainder.
solve this equation:
x+9=23
Answer: 14
Step-by-step explanation:
x + 9 = 23
-9 -9
x = 14
A baker baked some loaves of bread. 240 loaves were sold by the end of the day. The baker was left with 9/25 of the number of loaves that were baked. How many loaves of bread did the baker bake on that day?
Please do this in a easy way and explain no algebra
Answer:
The baker baked 375 loaves of bread that day.
Step-by-step explanation:
The baker baked a total of x loaves of bread.
240 loaves were sold by the end of the day.
The baker was then left with 9/25 of the number of loaves that were baked.
We get the equation:
x-240 = 9x/25
When you solve the equation, you will see that x=375.
Therefore, the baker baked 375 loaves of bread that day.
The rectangle below has been enlarged by a scale of 3.5.
A rectangle with a length of 8 and width of 6.
Multiply the original dimensions by the scale:
8 x 3.5 = 28
6 x 3.5 = 21
New dimensions: length = 28, width = 21
Kardal used the line of best fit to predict that a man 80 inches tall would wear about a size 16 shoe. What can be concluded about this prediction? Check all that apply. The prediction is reasonable. The prediction is an interpolation. No data is given in the scatterplot for a height of 80 inches, but a shoe size can still be predicted. A prediction cannot be made for a man who is 80 inches tall. A man who is 80 inches tall will likely wear a size 12. 5 shoe.
Answer:
A and C
Step-by-step explanation:
A. The prediction is reasonable.
C. No data is given in the scatterplot for a height of 80 inches, but a shoe size can still be predicted.
__________________________________________________________
Based on the average height-to-shoe size ratio, it is rational to predict that a man who is 80 inches tall would wear a size 16 shoe, even without there being a scatterplot for a height of 80 inches.