Answer:
$2.50
Step-by-step explanation:
The total amount of money saved will be 50 - 16c
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given are 4 friends who are buying tickets for a concert. The cost to buy one ticket is c dollars. If you buy all the tickets together, there is a discount and the cost is (5c - 12.5) dollars.
When buyed separately, the total cost = $4c
When bought together, the total cost = $4(5c - 12.5)
Money saved = 4c - 4(5c - 12.5) = 4c - 20c + 50 = 50 - 16c
Therefore, the total amount of money saved will be 50 - 16c
To solve more questions on Equation Modelling, visit the link below -
brainly.com/question/14441381
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Cribe how making a list can help you solve a math problem. Write a problem that could be solved by making a list.
Answer:
Step-by-step explanation:
All that making a list does is creates a visible step by step instruction manual on what needs to be done in order to solve the math problem that needs to be solved. Lists are extremely helpful and can be used in every single math problem, for example....
15x - 25 = 275
Get rid of -25 by adding 25 on both sidesDivide 15 on both sides to isolate xCelebrate on solving the problemSee making a list isolates the problem into an easy to read instruction manual.
which system of inequalities is shown in the graph?
A)
[tex]y \leqslant 5 \: \: and \: \: y \geqslant 3x - 2[/tex]
B)
[tex]y > 5 \: \: and \: \: y < 2x - 3[/tex]
C)
[tex]y > 5 \: \: and \: \: y \geqslant 2x - 3[/tex]
D)
[tex]y \leqslant 5 \: \: and \: \: y > 3x - 2[/tex]
Answer:
sry I can't understand how to do this question
The chicken coop at the petting farm is 10 x 14‘. The farm would like to double the current area by adding the same amount, X, to the length and width. What are the dimensions of the new enclosure? Round to the nearest hundredth of a foot
Answer:
x = 4.85 feet
Step-by-step explanation:
Original area of the petting farm = 10 × 14
= 140 square feet
.
New area = double the original area = 140 * 2
= 280 square feet
New area of the petting farm =
Width × length
280 = (10+x) × (14+x)
280 = 140 + 10x + 14x + x²
280 - 140 = x² + 24x
140 = x² + 24x
x² + 24x - 140 = 0
Solve the quadratic equation
x = -b ± √b² - 4ac / 2a
= -24 ± √(24)² - 4*1*-140 / 2*1
= -24 ± √ 576 - (-560) / 2
= -24 ± √ 576 + 560 / 2
= -24 ± √1,136 / 2
= -24 ± 4√71 / 2
= -24/2 ± 4√71/2
= -12 ± 2√71
x = 4.8523 or x = -28.8583
x can not be a negative value
Therefore,
x = 4.85 feet to the nearest hundredth
please help ill give brainliest
Lucas took his bike to a local park to ride on some bike trail.Trail A is 6 3/4 miles long.Trail B is 8 1/2 miles long. How many miles long is Trail B then Trail A
Answer: Trial B is [tex]1\dfrac{3}{4}[/tex] miles longer then Trail A.
Step-by-step explanation:
Length of Trail A = [tex]6\dfrac34[/tex] miles
= [tex]\dfrac{24+3}{4}[/tex] miles = [tex]\dfrac{27}{4}[/tex] miles.
Length of Trail B = [tex]8\dfrac12[/tex] miles
= [tex]\dfrac{16+1}{2}[/tex] miles = [tex]\dfrac{17}{2}[/tex] miles.
Trial B is longer then Trail A by [tex]\dfrac{17}{2}-\dfrac{27}{4}[/tex] miles
[tex]=\dfrac{17\times2}{2\times2}-\dfrac{27}{4}[/tex] miles
[tex]=\dfrac{34}{4}-\dfrac{27}{4}[/tex] miles
[tex]=\dfrac{7}{4}[/tex] miles
[tex]=1\dfrac{3}{4}[/tex] miles
Hence, Trial B is [tex]1\dfrac{3}{4}[/tex] miles longer then Trail A.
An electrician charges $50 to come to your house. He also charges $25 for each hour he spends at your house. The electrician charges you a total of $125. How many hours did he spend at your house? Please also write the equation
Answer:
He was there for three hours
Step-by-step explanation:
$25 times 3=$75
$50+$75=$125
which statement about 2(×+4) is true ?
Answer:
The answer is 2x + 8
Step-by-step explanation:
Find the unknown side length of the rectangle is 3 2/3 and if the area is 11m2
Answer:
The width of the rectangle given is equal to 3m.
Step-by-step explanation:
In order to solve this question we need to know that the areas of the rectangle is equal to [tex]A_{rectangle} = (l)(w)[/tex], where "l" is length and "w" is width. So know in order to solve this question we would have to find out the unknown width by using area and the length of the triangle. Based on the formula I wrote down earlier we can understand the following.....
[tex]A_{rectangle} = (l)(w)[/tex]
[tex]\frac{A_{rectangle} }{l} = \frac{(l)(w)}{l}[/tex]
[tex]w = \frac{A_{rectangle} }{l}[/tex]
Just now we found out the formula that we can use to solve for the width when we know the area and the length of the rectangle. Now in order to get the answer we just have to plug in the values we know, and we get........
[tex]w = \frac{A_{rectangle} }{l}[/tex]
[tex]w = \frac{11m^{2} }{(3\frac{2}{3}m )}[/tex]
[tex]w = 3m[/tex]
2. In the formula y = mx + b, what does "m" stand for?
a) y-intercept
b) slope
O C) x-axis
d) y-axis
Answer:
B.)Slope
In the equation y = mx + b for a straight line, the number m is called the slope of the line.
Write an equivalent expression for 2(1.7x + 3.3) + 5(2.6x + 1.4) by combining like terms
Answer:
16.4x + 13.6
Step-by-step explanation:
Equivalent Expressions
Algebraic expressions can be given in different forms when applying properties of the basic operations.
The given expression is:
2(1.7x + 3.3) + 5(2.6x + 1.4)
Multiplying both parentheses by the outer factor:
3.4x + 6.6 + 13x + 7
Combining like terms:
16.4x + 13.6
The original and the final expressions are equivalent because they produce the same results
find perimeter of semicircle if radius is 22 cm
The perimeter of a circle is equal to 2πR where R is the radius if we want the perimeter of the semicircle we divide by 2 and we get
P=πR=22π=22*3.14=69.08cm
What is the slope of the line that passes through the points
(8,−4) and (6,2)? Write your answer in simplest form.
Answer: -3
Step-by-step explanation:
(this is just my way):
1. First create an equation: 2-(-4) over 6-8
2. Simplify: 6/-2 => -3
Tada, you already go your slope
Have a nice day :)
HELP 50 PTS
(a) Write the expression in expanded form. log(7x^3/z)
(b) Write the expanded form as a simplified single log. 3log(5) + 2log(x) – log(25)
Step-by-step explanation:
log(7x³/z) = log(7) + log(x³) - log(z).
3log(5) + 2log(x) - log(25) = log(125) + log(x²) - log(25) = log(125x²/25) = log(5x²).
Which ordered pair represents the translation of R to S?
Clancy has 423 cups of yogurt to share with his friends at a party. Each guest will receive 1 serving of yogurt which is 34 of a cup. How many people can Clancy invite to his party if he needs a serving of yogurt as well?
Answer:
564 people
Step-by-step explanation:
Total cups of yogurt to share = 423 cups
Each guests get = 3/4 of a cup per serving
How many people can Clancy invite to his party if he needs a serving of yogurt as well?
Number of people Clancy can invite to his party = Total cups of yogurt to share / servings per guests
= 423 cups ÷ 3/4 cups
= 423 × 4/3
= 141 × 4
= 564
Number of people Clancy can invite to his party = 564 people
A triangle has side lengths of (9.8f-8.4)(9.8f−8.4) centimeters, (2.2f+4.9)(2.2f+4.9) centimeters, and (9.8g+9.2)(9.8g+9.2) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answer:
12f + 9.8g + 5.7 centimeters
Step-by-step explanation:
Side A = (9.8f-8.4) centimeters
Side B = (2.2f+4.9) centimeters
Side C = (9.8g+9.2) centimeters.
Perimeter of a triangle = Side A + Side B + Side C
= (9.8f-8.4) + (2.2f+4.9) + (9.8g+9.2)
= 9.8f - 8.4 + 2.2f + 4.9 + 9.8g + 9.2
Collect like terms
= 9.8f + 2.2f + 9.8g - 8.4 + 4.9 + 9.2
= 12f + 9.8g + 5.7 centimeters
Therefore, the expression which represents the perimeter of the triangle 12f + 9.8g + 5.7 centimeters
Which of the following is the position of median? *
(N+1)/4 item
3(N+1)/4 item
3(N+1)/2 item
(N+1)/2 item
Answer:
(N+1)/2 item
Step-by-step explanation:
(N+1)/2 item is the correct answer.
Which of the following is a solution of the function graphed below?
Answer:
Option A
Step-by-step explanation:
It's a point on the function's graph
A juggler tosses a ball into the air. The balls height, h, and the t seconds can be represented by the equation h(t)=16t^2+40t+4. Suppose the juggler missed and the ball hit the ground. Find the maximum height of the ball and the time it took the ball to reach the ground. Round all answers to the nearest hundredth
Answer:
h= -20
t = -0.104 and -2.39s
Step-by-step explanation:
A juggler tosses a ball into the air. The balls height, h, and the t seconds can be represented by the equation h(t)=16t^2+40t+4. Suppose the juggler missed and the ball hit the ground. Find the maximum height of the ball and the time it took the ball to reach the ground. Round all answers to the nearest hundredth
The velocity of the body at its maximum height is zero
V= dh/dt
dh/dt = 32t + 40
0 = 32t+40
-32t = 40
t = 40/-32
t = -1.25s
Substitute t = -1.25 into the expression
h(t)=16t^2+40t+4.
h(-1.25)=16(-1.25)^2+40(-1.25)t+4.
h = 16(1.5625)-50+5
h = 25-45
h =-20
Hence the maximums height is -20m
The ball will reach the ground at h = 0
Substitute
h(t)=16t^2+40t+4.
0 = 16t^2+40t+4
Divide through by 4
0 = 4t²+10t+1
Factorize
-10±√10²-4(4)/2(4)
t = -10±√100-16/8
t = -10±√84/8
t =-10+9.17/8
t = -0.83/8 and -19.17/8
t = -0.104 and -2.39s
Here is a list of ingredients for making 12 small cakes. 108 g margarine 180 g sugar 200 g plain flour 1 teaspoon baking powder 2 eggs. Joe is going to make 24 of the small cakes. Determine how much margarine he will need. Write your answer in a complete sentence.
Answer:
216g of margarine
Step-by-step explanation:
From the above question:
12 small cakes required 108g of margarine
If he would be making 24 of the small cakes, hence, that would be calculated as:
12 small cakes = 108g of margarine
24 small cakes = x
Cross Multiply
12 × x = 24 × 108g
x = 24 × 108g/12
x = 216g of margarine
Therefore, he would need 216g of margarine to make 24 of small cakes
You uncle wants the ratio of flowers and vegetables
planted his garden to be 3 flowers: 4 vegetables. He
has space for 91 plants. How many flowers should he
plant?
Answer:
39 flowers
Step-by-step explanation:
there are 7 parts
1 part is 13
3 parts is 39
Write the simplest polynomial function for each set of zeros
Zeros = -2, 5, -1
Answer:
the answer should be y = x^3 - 2x^2 - 13x - 10
Step-by-step explanation:
x = -2 5 -1
x + 2 = 0
x - 5 = 0
x + 1 = 0
f(x) = (x + 2) (x + 1)
x(x) + 2(x) + x(1) + 2(1)
x^2 + 2x + x + 2
x^2 + 3x + 2
f(x) = (x^2 + 3x + 2) ( x - 5)
x^2(x) + 3x(x) + 2(x) + x^2(- 5) + 3x(- 5) + 2(- 5)
x^3 + 3x^2 + 2x - 5x^2 - 15x - 10
x^3 - 2x^2 - 13x - 10
f(x) = x^3 - 2x^2 - 13x - 10
Step-by-step explanation:
this is your answered give me point
The coordinates of then vertical of parallelograms WXYZ are W(-2,3) , X(-1,0) , Y(5,2) and Z (4,5) the slope of
I’ll give brainliest
Answer:
The slope of WX and WY
Step-by-step explanation:
For us to have a rectangle, the angles at the edges equal 90
What this mean is that the width and the length are at 90 degrees
Hence, we can say that they are perpendicular to one another
Thus, we can calculate the slopes of both to drive home our point
Hence, by calculating the slopes of WX and WY, We can proof that we have a rectangle
When the U.S. government needed 10,000 rifles for the army, Eli Whitney applied for the contract. He took several guns, dismantled them, put the pieces in a box, and shook it. He then randomly selected the pieces he needed, assembled on rifle, and fired it. What did he demonstrate
Answer:
interchangeable parts.
Step-by-step explanation:
Eli Whitney here demonstrates interchangeable parts.He took several guns, dismantled them, put the pieces in a box, and shook it. He then randomly selected the pieces he needed, assembled on rifle, and fired it. popularized in America when Eli Whitney used them to assemble muskets in the first years of the 19th century, allowed comparatively unskilled workers to manufacture vast quantities of arms rapidly and at lower expense, and made repair and replacement of parts exponentially simpler.
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Answer:
hold on what I can't see that sorry it's really blur
A line has a slope of -2 and a y-intercept of –3. Graph the line using the slope and y-intercept.
Which of the following points lie on this same line? Check all that apply.
(–2, 0)
(–1.5, 0)
(–6, 9)
(2, –3)
(3, –9)
(–4, 4)
Answer & Step-by-step explanation:
First write the line equation.
y=mx+b is the format where m=slope, b= y intercept
y=-2x-3
plug each x in to see if they match the point
y= -2(-2) -3 = -4 - 3 = -7 ; the point is (-2,0) so NO
y= -2(-1.5) -3= 3-3 = 0; point is (-1.5, 0) so YES it matches
y= -2(-6) -3 = 12-3 = 0; point matches so YES
y= -2(2) -3 = -4-3 = -7; point is (2, -3) so NO
y = -2(3) -3 = -6-3= -9; point matches so YES
y= -2(-4)-3 = 8-3 = 5; point is (-4, 4) so NO
(-1.5, 0) & (-6, 9) & (3, -9)
please give thanks by clicking the heart button :)
Answer:
the answers are B C E
Step-by-step explanation:
-1,5, 0
-6, 9
3, -9
How many bags of fertilizer are needed to fertilize a yard measuring 60 feet by 80 feet if one bag will cover 100 square feet
1.
How many different three - scoop bowls of ice cream are there?
There is 24 total flavors to choose from
Answer:
i think 126 different bowls
correct me if im wrong
find the selling price: original price of a radio: 53.50 discount: 30
Answer:
48.69
Step-by-step explanation:
Step-by-step explanation:
30% off $53.50
= 70% of $53.50
= $53.50 * (70/100) = $37.45.
Please help me out!!!!!
Answer:
Option (5)
Step-by-step explanation:
f(x) is a function with the degree of 3, having zeros as x = 2, 2t, -2t
And f(1) = -15
Option (1)
f(x) = 2x³- 2x² + 2x - 30
f(1) = 2(1)³ - 2(1)² + 2(1) - 30
= 2 - 2 + 2 - 30
= -28 ≠ -15
Therefore, Option (1) is not the answer.
Option (2)
f(x) = 2x³ + 2x² + 2x - 30
f(1) = 2(1)³ + 2(1)² + 2(1) - 30
= 2 + 2 + 2 - 30
= 6 - 30
= -24 ≠ -15
Therefore, Option (2) is not the answer.
Option (3)
f(x) = 3x³ - 6x² + 12x - 12
f(1) = 3(1)³ - 6(1)² + 12(1) - 12
= 3 - 6
= -3 ≠ -15
Therefore, Option (3) is not the answer.
Option(4)
f(x) = 48x³- 9x² + 12x - 24
f(1) = 48(1)³ - 9(1)² + 12(1) - 24
= 48 - 9 + 12 - 24
= 27 ≠ -15
Therefore, Option (4) is not the answer.
Option (5)
f(x) = 3x³- 6x² + 12x - 24
f(1) = 3(1)³- 6(1)² + 12(1) - 24
= 3 - 6 + 12 - 24
= -15
Therefore, Option (5) is the correct option.
