Answer: a/c = 1
a/b = 1/2 => a = 1/2 .b
b/c = 2 => c = 1/2 .b
=> a/c = (1/2.b)/(1/2.b) = 1
Step-by-step explanation:
If a is half b, and b is twice c, then the fraction a:c will be 1.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
In another word, if we divide two numbers by each other then the upper word is called the numerator, and the lower word is called the denominator.
As per the given,
a is half b ⇒ a = b/2
b is twice c ⇒ b = 2c
By substitution,
a = (2c)/2
a = c
a:c = 1:1 = 1
Hence "If a is half b, and b is twice c, then the fraction a:c will be 1".
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Dalia used a balancing move to begin to solve the
equation below.
6x + 12 = 10x - 4
The result of Dalia's first step was 12 = 4x – 4.
Describe the first step Dalia made to solve the equation.
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Robert wants to make a scarf and matching hat for his sister. The patterns call for 4/6 yard of fabric for the scarf and 1/6 yard of fabric for the hat. How much fabric should robert buy?
5/6 yards
Step-by-step explanation:
[tex] \frac{1}{6} + \frac{4}{6} = \frac{5}{6} [/tex]
Answer:
5/6 yards of fabric
Step-by-step explanation:
4/6 yards + 1/6 yards = 5/6 yards
A T-shirt company charges a design fee of $25 and then sells the shirts for $10 each. The total cost y can be represented by the equation y = 10x + 25, where x represents the number of T-shirts. The graph of the equation is shown. Describe what the slope and y-intercept represent.
Answer:
y-intersept is the design fee
An entire pumkin pie (16 Slices ) has 3,840 calories. If the pie is cut into 16 slices how many calories are in each slice?
Answer:
240
Step-by-step explanation:
Answer:
240 calories
Step-by-step explanation:
3,840 divided by 16 is 240 :)
Tali is trying to find the thickness of a page of his telephone bookTo do this, he takes a measurement and finds out that 550 pages measure 1.25 inches. What is the thickness of one page of the phone book ?
Answer:245
Step-by-step explanation:
hope this helps
g(x) = -4x2 + 4x – 2
What is the maximum or minimum step by step
We want the maximun or minimum of [tex]g(x)=-4x^2+4x-2[/tex]
Firstly, notice that we have a leading coefficient of -4, wich means our parabola is concave down. Thus, our function will have a maximum.
To find what is the maximum, let's firstly find on wich value of x it happens. We'll start by taking the first derivative of the function:
[tex]g'(x)=-8x+4[/tex]
To find the extremes of the function, we just need to find where the derivative equals zero. Setting g'(x)=0 we have
[tex]0 = -8x+4\\8x=4\\x=\frac{1}{2}[/tex]
So we found that the x coordinate of the maximum is x=1/2. To find the y coordinate we just need to substitute the value of x into the original function.
[tex]g(1/2)=-4(1/2)^2+4(1/2)-2\\g(1/2)=-1+2-2\\g(1/2) = -1[/tex]
Therefore, the maximum point [tex]M[/tex] of the function is
[tex]\boxed{M=(0.5,-1)}[/tex]
Glad to help! Wish you great studies.
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Desmond bought 7 1/2 pints of ice cream for his party. He is going to serve each guest 3/4 pint
Answer:
10 guests
Step-by-step explanation:
Step one:
Desmond bought 7 1/2 pints of ice cream
each guest gets a 3/4 pint
Required
The number of guests that Desmond can serve
Step two:
let us convert 7 1/2 to a simple fraction
= 15/2
The number of guests to be served is
=15/2/3/4
multiply the numerator by the inverse of the denominator
=15/2*4/3
=60/6
=10 guests
9/10 of alien races think invading Earth is a bad idea.
What percentage of alien races think invading Earth is a bad idea?
____%
Bob bought the 24 fish for $51.36. How much did each fish cost him? Show your calculation.
Answer:
2.14
Step-by-step explanation:
2.14x24=51.36
Order -3/4, 3/8, -1 1/8, -1/2 from least to greatest.Which is correct?
-1 1/8, -3/4, -1/2, 3/8
-1/2, -3/4, 1 1/8, 3/8
3/8, 1 1/8, -3/4 , -1/2
Answer:
the first one
Step-by-step explanation:
because the negative number is the least, and the positive is the greatest
Hi I rlly could use some help with this! I'm not the best at math and I'm rlly struggling with this assignment its a couple questions long! I will give brainiest and 10 given points!
Info:In this activity, you will find out how many cars the baseball team needs to wash before it starts making a profit. The team spent $75 setting up the car wash, and they are charging $5 per car for a wash.
1.The first step in modeling this situation is to track how much money the baseball team will take in. Write an equation to represent the amount of money collected in dollars, y, in terms of the number of cars washed, x. Ignore the setup cost.
2.The equation you wrote in part A accounts for money collected. However, it does not account for the money the baseball team spent to set up the car wash. What do you need to do to the equation in part A to account for the setup cost?
3.Now that you have an idea of how much money the baseball team will collect and how much it will spend, you’re ready to write an equation modeling the situation. Write an equation representing the profit made on the car wash in dollars, y, in terms of the number of cars washed, x, after expenses.
4.You now have an equation to model the finances of the car wash. What is the value of the profit when the baseball team washes 0 cars? What point represents this value? What does the y-value of this point mean in terms of the problem?
5.The baseball team will break even when the amount of money it has received equals the amount of money it spent. In other words, the team breaks even when the profit is equal to zero. How many cars does the baseball team have to wash to break even? What point represents this value? What does the x-value of this point mean in terms of the problem?
Pls help!!!
1. Let y represent the amount of money earned, and x the number of cars they wash. Then
y = 5x
Why? Each car wash costs $5. So no car washes means no earnings; 1 car wash earns $5; 2 washes earn $10; 3 washes earn $15, and so on, so that x car washes generate $5x.
2. No matter how many cars they end up washing, they will have spent $75 to set up the operation, so you subtract 75 from the equation is part (1).
3. Taking into account the setup cost of $75, the profit they make is given by
y = 5x - 75
4. When x = 0, meaning no cars get washed, the profit is -$75, meaning the team loses $75.
5. Set the profit function equal to 0 and solve for x :
5x - 75 = 0
5x = 75
x = 75/5
x = 15
So the team has to wash at least 15 cars to break even.
Answer:
The setup cost is $75. To account for the setup cost, you need to subtract 75 from the right side of the equation obtained in part A.
Step-by-step explanation:
The cost to rent a moving van is $61 plus an additional $26 per hourIf a moving van rented for 17 hours, what is the cost? Write and solve an equation to find the answer.
Answer:
y = 503
Step-by-step explanation:
y=mx+b
y=26(17)+61
y=442+61
y=503
please help!!!
W +2/3 = -1/6
simplify your answer as much as possible
solve for W
Answer:
w= -5/6
Step-by-step explanation:
That the right answer
Which expression is equivalent to 8(x + 2)?
(A was wrong) C 8x + 16
B 8 + x + 8 + 2 D 8x + 10
I don't understand math please help me
Answer: I cant really read the questions.
Step-by-step explanation:
What is 2/3 - 2/5 =
Answer:
2/3 - 2/5 = 4/15
Step-by-step explanation: 2/3 x 5/5 = 10/15 2/5 x 3/3 = 6/15
Hope this helps!
If mZMRT = 133º , then which equation can be used to find g?
Answer:
D
Step-by-step explanation:
We know that MRT = 133 which means that is the total. Angle MRN and NRT are what makes the total angle which is 133. To find what each angle is individually, we can add them both together.
(2g - 2) + (4q - 9) = 133
6q - 11 = 133
6q = 144
q = 24
Best of Luck!
D. (2g - 2)+(4g -9) = 133
Because,
Given, angle MRT = 133°
and MRN = 2g - 2 °
and NRT = 4g - 9°
and MRT = MRN + NRT .........(equation (i))
Placing values in equation (i) we get,
133° = (2g - 2)° + (4g - 9)°
=> 133 = (2g - 2) + (4g - 9)
=> (2g - 2) + (4g - 9) = 133
The slope of a line on the coordinate plane can be calculated using any two points on the line and one outside point.
O True
O False
Answer:
true i think
Step-by-step explanation:
A ball is thrown from a height of 130 feet with an initial downward velocity of 6ft/s. The ball's height h (in feet) after t seconds is given by the following.
h=130-6t-16t^2
How long after the ball is thrown does it hit the ground?
See attachment for math work.
Find a set of parametric equations of the line with the given characteristics. (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) The line passes through the point (3, 1, 2) and is parallel to the line given by x
This question is incomplete, the complete question is;
Find a set of parametric equations of the line with the given characteristics. (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) The line passes through the point (3, 1, 2) and is parallel to the line given by x = y = z.
Answer:
the set of parametric equations of the line with the given characteristics are; x = t+3, y = t+1, z = t+2
Step-by-step explanation:
Given that;
line x = y = z and point ( 3, 1, 2 )
the given line can be written as;
[x-0 / 1] = [y-0 / 1] = [z-0 / 1]
if two lines are parallel directional ratios are equal.
so DIRECTIONAL RATIOS of given line is ( 1, 1, 1 )
therefore required line is;
[x-3 / 1] = [y-1 / 1] = [z-2 / 1] = t
⇒ [x-3 / 1] = t
x = t+3
[y-1 / 1] = t
y = t+1
[z-2 / 1] = t
z = t+2
Therefore the set of parametric equations of the line with the given characteristics are; x = t+3, y = t+1, z = t+2
1. A business records its net profits for the week by subtracting the operating costs from the revenue. The function P(x) = (140x) – (30x + 1200) represents the profits for one week, where x is the number of products sold. Which statement is true?
a) The slope of the function is 110, and it represents the change in net profit per product sold.
b) The slope of the function is 140, and it represents the initial operating costs of the business
c) The slope of the function is 110, and it represents the initial operating costs of the business.
d) The slope of the function is 140, and it represents the change in net profit per product sold.
At a bakery every 4th coustmer recives a free cookie snd every 10th customer recives a free drink. Which customer will be the first to recive a free cookie and a free drink
Answer:
40th costumer
Step-by-step explanation:
The 40th costumer will receive a free cookie and drink. You need to find factors of 4 and factors of 10. Then when you find 4 and 10 have the same factor that’s your answer. So you do 4,8,16,24,32,36,40,44,48, etc. (counting up by 4) now do it to 10,20,30,40,50,60,70, etc. (counting up by 10) Now you notice that the first number that is the same is 40. So that means the 40th costumer will be the first one to receive a free drink and cookie.
Customer first to receive a free cookie and a free drink is 20th number customer
Given that;Number of customer received free cookie = 4th
Number of customer received free drink = 10th
Find:Customer first to receive a free cookie and a free drink
Computation:Customer first to receive a free cookie and a free drink = LCM of 4 and 10
Customer first to receive a free cookie and a free drink = 20th number customer
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Before your trip to the mountains your gas tank was 7/9 full. When you returned home, the gas gauge registered 1/3 of a tank. If your gas tank holds 18 gallons did you use to drive to the mountains and then back home?
Jalen had read 14 chapters out of the book .. if this is 56% of the chapters, how many chapters are in the book?
Answer:
25 Chapters
Step-by-step explanation:
We are given:
Number of Chapters read = 14
Percentage of Book finished = 56%
Number of Chapters in the Book:
Since 56% of 'x' chapters is 14:
[tex]x*\frac{56}{100}[/tex] = 14
[tex]x = \frac{14 * 100}{56}[/tex] [multiplying both sides by 100/56]
[tex]x = \frac{100}{4}[/tex] [since 14*4 = 56]
x = 25
Therefore, the book has 25 chapters
Answer:
The book has a total of 25 chapters.
Step-by-step explanation:
We are given that Jalen has read 14 chapters of his book. We are also given that 14 chapters is 56% of the entire book. We need to find how many chapters are in the book.If 14 is 56% of the book, we can set up a proportion that can find the total number of chapters in the book.
A proportion looks like:
[tex]\displaystyle \frac{a}{b} = \frac{c}{d}[/tex]Our first fraction will be the two values we are given: 14 chapters and 56% of the book.
[tex]\displaystyle \frac{14}{56}[/tex]Then, our second fraction will contain an unknown variable. We would need to complete this many chapters to complete the book, so 100% of the book would be read once a certain number of chapters are reached. Therefore, we don't know how many chapters are needed to complete the book, so this is our unknown variable. We can define this as x.
Therefore, our second fraction is:
[tex]\displaystyle \frac{x}{100}[/tex]Now, we can set these fractions equal to each other.
[tex]\displaystyle \frac{14}{56} = \frac{x}{100}[/tex]Then, we can cross multiply our fractions to create an equation. Following our sample proportion, we would get:
[tex]{ac = bd}[/tex]So, we can follow the same policy with our proportion.
[tex]\displaystyle (14)(100) = (56)(x)\\\\1400 = 56x\\\\56x = 1400\\\\\frac{56x}{56} = \frac{1400}{56}\\\\x = 25[/tex]
Therefore, 56% of the book is 14 chapters. With this information, we have determined that 100% of the book is 25 chapters.
find slope please help
Answer:
slope = -5/2
Step-by-step explanation:
rise/run
down 5
right 2
Is there a proportional relationship between x and y? Explain.
8 10 12 14
х
y
5
9
11
A.
Mo
at 2
No; all ratios
are not equivalent.
B.
Yes; each x value and y value increases by 2.
C.
Yes; the difference between each x value and y value is 3.
D
202
No; all ratios
are greater than 1.
Answer:
The answer is B. Hope it helps :)
ASAP!!!!!!!!!! List three figures that you have learned about estimating area
What is the z-statistic for the sample? Round the answer to the nearest hundredth. z =
Answer:
What is the z-statistic for the sample? Round the answer to the nearest hundredth.
z =
2.07Step-by-step explanation:
on edge :)
Answer:
2.07
Step-by-step explanation:
3) In what quadrant is the point (5, −8) located?
A) I
B) II
C) III
D) IV
Answer:
D) Quadrant IV
Answer:
Quadrant IV
Step-by-step explanation:
Given an array of points:
Quadrant I := [x > 0, y > 0]
Quadrant II := [x < 0, y > 0]
Quadrant III := [x < 0, y < 0]
Quadrant IV := [x > 0, y < 0] (our case)
in [tex]P(5, -8)[/tex] [tex]x > 0, y < 0[/tex]
Which mapping diagram does not represent a function?
Answer:
A.
Step-by-step explanation:
The definition of a function is that each input has only 1 output. That does not mean that 2 different inputs can not have the same output. A. shows that the number 3 has 2 outputs. My explaining is not that good but trust me.