Answer:
9, 30, and 15.
Step-by-step explanation:
Let the three numbers be a, b, and c.
The sum of them is 54. So:
[tex]a+b+c=54[/tex]
The third number is 6 more than the first. In other words, c=a+6.
The second number is twice the third. In other words, b=2c.
Let’s write the second number in terms of a. Since b=2c, this means that b=2(a+6).
Let’s substitute them into our equation. So:
[tex]a+2(a+6)+(a+6)=54[/tex]
Solve for a. Distribute:
[tex]a+2a+12+a+6=54[/tex]
Combine like terms:
[tex]4a+18=54[/tex]
Subtract 18 from both sides:
[tex]4a=36[/tex]
Hence, the value of a is:
[tex]a=9[/tex]
So, the first number is 9.
The third number is 6 more than the first, so the third number is 15.
The second number is twice the third. So, the second number is 30.
Therefore, our numbers are:
9, 30, and 15.
The length of a rectangle is three centimeters less than twice its width. If the perimeter of the rectangle is 18 centimeters, find its dimensions. (Perimeter of rectangle P = 2L + 2W)
Answer:
w = 4cm L = 5 cm
Step-by-step explanation:
w = w
L = 2w - 3
P = 18 = 2L + 2w
18 = 2(2w-3) + 2w
18 = 4w -6 + 2w
18 + 6 = 6w
24 = 6w
w = 4 cm
L = 2w - 3
L = 2(4) -3
L = 8 - 3
L = 5 cm
Wacky Wizards offers beginner Advanced magic classes. the beginner costs 6 more than half the cost of the advanced class. Last week they taught 7 beginner classes and 11 advanced classes and earned $390. Write a system that represents the cost of the beginner class, b and the cost od advanced class, a
Answer:
if you’re looking for a equation it could be “ 24c + 15 = 687 “Step-by-step explanation:
Beginner courses cost $18 while advanced courses cost $24.
Let b represent the cost of the beginner classes and a represent the cost of advanced classes.
The beginner costs 6 more than half the cost of the advanced class. Hence:
b = a/2 + 6
2b = a + 12
2b - a = 12 (1)
Last week they taught 7 beginner classes and 11 advanced classes and earned $390, Hence:
7b + 11a = 390 (2)
Solving equations 1 and 2 simultaneously gives: b = 18, a = 24
Beginner courses cost $18 while advanced courses cost $24.
Find out more at: https://brainly.com/question/24169758
Do you like beans I like beans
Answer:
Yea, there alright
Step-by-step explanation:
LOL
Pablo uses 13.5 cups of flour to make 6 batches of muffins. How many cups of flour did he use per batch?
Enter the correct answer in the box.
Answer:
Step-by-step explanation:
how you waiting for help sb help him
2.25 cups of flour he use per patch.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Pablo uses 13.5 cups of flour to make 6 batches of muffins.
For 1 patch amount of flour used
= 13.5 /6
= 2.25 cups
Hence, 2.25 cups of flour he use per patch.
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ6
There are 625 students at Median middle school. If 8% of the students were absent on Tuesday , how many students were absent?
If 8% of students were absent on Tuesday no. of students that were absent was 50.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, There are 625 students at Median middle school and 8% of the students were absent on Tuesday.
∴ No. of students that were absent on Tuesday is 8% of 625 which is,
= (8/100)×625.
= 50.
Learn more about percentages here :
https://brainly.com/question/24159063
#SPJ2
A pink crayon is made with 12 mL of red wax for every 5 mL of white wax.
Which of the following wax mixtures will create the same shade of pink?
(A) 10 mL of red wax mixed wit 24 mL of white wax
(B) 48 mL of red mixed with 12 of white wax
(C) 13 mL of red mixed with 6 mL of white wax
(D) 36 mL of red mixed with 15 mL of white wax
(E) 60 mL of red mixed with 24 mL of white wax
Answer:c
Step-by-step explanation:
Josh and Daniel each want to save $600 to attend a sports camp. Josh has saved 60% of
the amount. Daniel has saved $320. Who has saved more money? How much more?
1. Complete the equivalent ratios to find 60% of $600.
Х
100
Answer:
60% of 600 = (60/100)x600
= 360
While Daniel only has 320
Hence Josh has saved more
Josh saved $360 and $40 more saved by Josh.
Given that, Josh and Daniel each want to save $600 to attend a sports camp.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Here, Daniel has saved $320.
Josh has saved 60% of the amount.
So, 60% of 600
= 60/100 × 600
= 0.6 × 600
= 360
Difference in Josh and Daniel saved money = 360-320
= 40
Therefore, Josh saved $360 and $40 more saved by Josh.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ2
Solve the equation for Y: 3x + 1/5 y equals 7
Answer:
y = 35- 15x
Step-by-step explanation:
To solve for y, first isolate the term containing y.
1/5y = 7 - 3x
Multiply both sides by 5 to cancel out the fraction.
5(1/5y) = 5(7 - 3x)
This will result in:
y = 35- 15x
Do not forget to distribute the 5 when multiplying.
The equation is now solved for y.
Find the solution to the following quadratic
8x^2 + 7x - 2 = 10x – 4 + x2
Answer x=3± i√ 47/14
Step-by-step explanation:
use math away its helpful
Jason is making a fruit salad. He mixes in 3 1/4 cups of orange melon and 2 2/3 cups of green melon. How many cups of melon does Jason put in the fruit salad?
Answer:
5 11/12 cups of melon
Step-by-step explanation:
The cups of melon he puts in the fruit salad is:
Number of cups of orange melon + Number of cups of green melon
= 3 1/4 cups + 2 2/3 cups
3 + 2 + (1/4 + 2/3)
The Least common denominator is 12
5 + (3 × 1 +4 × 2/12)
5 + (3 +8/12)
5 11/12 cups
Therefore, Jason put in 5 11/12 cups of melon in the fruit salad.
What is the missing term in the trinomial expression below?
(2x+2)(7x+8)=14x2+_______+16
A. 14x
B. 30x
C. 9x
D. 5x
Answer:
14 i hope this leads you into the good
What is the factored form of the binomial expansion 64x3 − 336x2y + 588xy2 − 343y3?
(4x – 7y)3
(4x + 7y)3
(8x – 7y)2
(8x + 7y)2
Answer:
(4x-7y)^3
If you want me to explain how I got this answer let me know.
Which pair of expressions are equivalent?
3v + 5 - 9v + 2 and negative 6v + 6
Negative 6n + 3 - 2n + 2 and negative 8 n + 6
Negative 4n + 8 + 9n - 2 and 5n + 6
10n - 5 - 2n + 3 and 5n - 2
whoever answers this gets 50pts pls hurry!!!!!!!!
I NEED HELP ASAP! 10 POINTS
Answer:
rate of change is 1/2
Step-by-step explanation:
formula for rate of change is f(b)-f(a)/b-a
A restaurant offered cooking classes on 24 of the 30 days in November. What decimal is equivalent to the fraction of the days in November that classes were offered at the restaurant?
Answer:
0.8% or 80%
Step-by-step explanation:
24/30 is equivalent to 80/100
80/100 as a decimal is 80%
hope this helps :3
if it did pls mark brainliest
Hi. I need help with these questions.
See image for question.
Answer 20 and 21
Answer:
20. The vertex is (2/3, 14/3) | p = 3, q = -2/3 and r = 14/321. 20x² + 2x - 3 = 0Step-by-step explanation:
20.
Giveny = 3x² - 4x + 6To findThe least value of the y and the corresponding value of xConstants p, q and r such that 3x² - 4x + 6 = p(x + q)² + rSolutionThe given is the parabola with positive a coefficient, so it opens up and the minimum point its vertex.
The vertex has x = -b/2a and corresponding y- coordinate is found below:
x = - (- 4)/2*3 = 2/3, and y = 3(2/3)² - 4(2/3) + 6 = 4/3 - 8/3 + 6 = 14/3So the vertex is (2/3, 14/3)The vertex form of the line has the equation:
y = a(x - h)² + k, where (h, k) is the vertexPlugging in the values:
y = 3(x - 2/3)² + 14/3Comparing with p(x + q)² + r, to find out that:
p = 3, q = -2/3 and r = 14/3=====================================
21.
(i) α and β are the roots of: ax² + bx + c = 0
Show that:
α + β = -b/a and αβ = c/aSolutionKnowing the roots, put the equation as:
(x - α)(x - β) = 0x² - αx - βx + αβ = 0x² - (α+β)x + αβ = 0Comparing this with the standard form:
ax² + bx + c = 0Divide by a to make the constants of x² same:
x² + b/ax + c/a = 0Now comparing the constants:
- (α+β) = b/a ⇒ α+β = - b/aαβ = c/a--------------------------------------------
(ii)
Givenα and β are the roots of: 3x² - x - 5 = 0To Find The equation with roots 1/2α and 1/2βSolutionThe sum and the product of the roots:
α + β = -b/a = 1/3αβ = c/a = -5/3The equation is:
(x - 1/2α)(x - 1/2β) = 0x² - (1/2α + 1/2β)x + 1/(2α)(2β) = 0x² - (α + β)/(2αβ)x + 1/4αβ = 0x² - (1/3)/(2(-5/3))x + 1/(4(-5/3)) = 0x² + 1/10x - 3/20 = 020x² + 2x - 3 = 0what is [(7 raised to -1 - 8 raised to -1) whole raised to -1] -[(3 raised to -1 - 4 raised to -1) whole raised to -1] pls say fast
Step-by-step explanation:
7 raised to -1 - 8 raised to -1 whole raised to -1 is 56
3 raised to -1 - 4 raised to -1 whole raised to -1 is 12
What is a radian? How do radians relate to degrees?
Answer:
Radians are used to measure angles. ... A 360 degree angle is the same as a 2pi radian angle. Radians start being used in geometry and trig as you start using the unit circle. I think marking them in the unit circle is a good way to visualize how they work, and how they can be a good unit to work with in that context.
Step-by-step explanation:
mark me big brain
Answer:a radian is a angle made by taking the radius and wrapping it round the circle and
they relate to degrees because Degrees measure angles by how far we tilted our heads. ... or angle in radians
Step-by-step explanation: The angle made by taking the radius and wrapping it round the circle
What is five million four thousand three hundred in standard form
Answer:
5004300
Step-by-step explanation:
5.004300 this is the answer because it just is
PLEASE HELP ME !! The data set (8,4,3,4,2,5,8,10,6,3) represents the number of points scored by a player in a game,
which class interval will be the highest in a frequency histogram?
A.6-8
B.0-2
C.9-11
2.3-5
Factor completely: 64x^3+1
Answer:
Step-by-step explanation:
Sum of cubes is a^3+b^3=(a+b)(a^2-ab+b^2)
64x^3+1
(4x+1)(16x^2-4x+1)
HELP!!!!! ASAP!!!! TEST NEED TO BE TURNED IN AT 11:30!!!!
Kim is playing an online trivia game. She has 25 points and earns 1 point for each correct answer. She will advance to the next round if her score is over 34 points. Which inequality can Kim use to find how many more questions she must answer correctly to advance to the next round?
answers in the picture
Answer:
umm i think its 9
Step-by-step explanation:
B i think or D can someone help
Can -8 8/15 be simplified? (Answer with yes or no) if it can what number would it be simplified?
Answer:
no
Step-by-step explanation:
it stays the same ok
find the slope of line A: (2,-5) (6,9)
Answer: The answer is m=7/2, please mark me as brainliest. :)
Step-by-step explanation: To find the slope of line A, use this formula to find a slope m: but sorry the slope formula cannot add to the photos. :(
You have 110 inches of yellow ribbon. The diameter of the old Oak tree is 38 inches. Do you have enough yellow ribbon to wrap around the old oak tree? Explain why. (20 points best answer gets 40)
Answer:
I believe that you will not have enough ribbon to wrap the entire tree.
Step-by-step explanation:
You will not have enough ribbon because the circumference of the tree is 119.38, more than the ribbon’s length. Therefore, it is impossible to wrap the entire tree in the ribbon.
#learnwithbrainly
Somone please help me on 9 and 10. I have done the rest but I am so confused on this. please
Answer:
C and A
Step-by-step explanation:
Remember what slope means: [tex]\frac{rise}{run}[/tex].
9. The first slope is 2, or [tex]\frac{2}{1}[/tex]. This means it is moving up 2 and over 1. The second option is the reciprocal, [tex]\frac{1}{2}[/tex]. The second slope moves up 1 and over 2. The first slope is going higher than the second at the same distance. But then we are given the third slope. I'm going to assume here that it does not matter whether the slope is negative or positive, you are only considering steepness. If our first slope moved up 2 and over 1, this slope moves down 4 and over 1, meaning it is covering more area over the same distance. So the steepest slope is option C.
10. Right off the bat we can get rid of option C. The slope is zero, meaning a flat line with no steepness. Next, we need to figure out if A or B is steeper.
First, we can turn them into mixed numbers in order to better be able to tell which is greater.
[tex]\frac{5}{3}=1\frac{2}{3}[/tex]
[tex]\frac{-3}{2}=-1\frac{1}{2}[/tex]
Because we don't care whether the line is ascending or descending, we will compare the absolute value of the slopes.
[tex]1\frac{2}{3} >1\frac{1}{2}[/tex]
So we can see that slope A, [tex]\frac{5}{3}[/tex] is steeper than slope B.
I hope this helps!
In a city in Ohio, the sales tax rate is 5.75%. If the price of a book is $7, what is the total cost of the book including tax?
Answer:
Step-by-step explanation:
Can y’all help me for this test I don’t get it
Answer:
$2.25 per ganola Bar
Step-by-step explanation:
Cost of 4 Bars = $ 9
Cost of 1 Bar = 9/4=2.25
Answer:
The constant of proportionally is 2.25$
Step-by-step explanation:
All you have to do is 9/4=2.25$
Hope this helps!!
Write the quadratic equation in standard form: x^2+x=-4x^2+16
Answer
-3[tex]x^{2}[/tex] +[tex]x[/tex]+16=0
Step-by-step explanation:
The temperature in williamstown is 78°F and the temperature in parkville is 13° cooler. what is the temperature in parkville?
Answer:
I think that the answer would be 65°
Step-by-step explanation:
I did the math in my head so pls don't yell at me if I'm wrong!