The ratio of a : b : c in its simplest form is 5 : 12 : 30 respectively
How to solve ratio?a : c = 1 : 6b : c = 2 : 5So,
a / b = 1/6
b/c = 2/5
lowest common multiple of c in both ratio1/6 + 2/5
=(5 + 12) /30
a : b and b : c
= 5/30 and 12/30
Therefore,
a : b : c = 5 : 12 : 30
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6. Suppose you decide to make and sell silk flower arrangements. You spend $220.00 on materials. You sell each flower arrangement for $10.50 each. How much profit would you make if you sold 23 silk flower arrangements?
The profit would you make if sold 23 silk flower arrangements be $21.5.
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
spend on materials = 220
Price for each flower =10.50
If 23 flowers are sold price would be,
= 10.50*23
=241.5
Hence, the profit would be = 241.5-220
= $21.5
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Help my semester ends in 17 hours
i'm so confused this is all they put
Apply the Pythagorean Theorem to determine
unknown side lengths in right triangles in real
world and mathematical problems in two and
three dimensions
Given the two rectangles below. Find the area of the shaded region. 4 4 9 3
Answer:
60
Step-by-step explanation:
The shaded region's area is the difference between the area of the outer rectangle and the white rectangle.
area = LW - lw
area = (4 + 4)(9 + 3) - (4)(9)
area = (8)(12) - 36
area = 96 - 36
area = 60
Please Help if you know!
An equation that can be used to determine how much each cookie cost originally is ($13.32 + $7) / 16.
What is the equation that determines the cost of each cookie?
A coupon reduces the price of an item. Thus, the amount paid by Louis would be lower than the original price.
Original price = coupon + price paid
($13.32 + $7)
The cost per cookie, can be determined by dividing the original price by the total number of cookies bought.
($13.32 + $7) / 16
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Answer:
Step-by-step explanation:
Givens
Number of cookies = 16
Deduction = 7
Final Cost = 13.31
Equation
16c - 7 = 13.31
Solution
You are not asked for a solution but I'll put it here anyway.
16c - 7 = 13.32 Add 7 to both sides
16c -7+7 = 13.32+ 7 Combine
16c = 20.32 Divide by 16
16c/16 = 20.32/16
c = 1.27
A TV costs R14 000 you made a 15% deposit and pay the remainder over a 3 year period at 10% interested p.a
Calculate the deposit amount? and Determine the remainder to be paid over the 3 years
Answer:
deposited rs. 2100 of a tv and rs. 3570 paid remainder after 3 years
Which graph shows the line y-4 = 3(x + 1)?
-5
5
D
O A. Graph A
B. Graph B
O C. Graph C
D. Graph D
5
B/A//C
Answer:
The answer is graph D since y int = 3(1)+4 which is 7, that graph crosses y at 7
Write in the form ( x + p ) ^2 + q x^ 2 − 10 x
Answer:
(x - 5)² - 25
Step-by-step explanation:
using the method of completing the square
x² - 10x
add/subtract ( half the coefficient of the x- term )² to x² - 10x
x² + 2(- 5)x + 25 - 25
= (x - 5)² - 25
The value of x is 50% more than the value of t.
the value of y is 10% less than the value of w.
x = y
work out t/w
Answer:
To hard sorry
Step-by-step explanation:
Given quadrilateral A(2,-1) B(1,3) C(6,5) D(7,1), you want to prove that it is a parallelogram by showing opposite sides are parallel. What formula would you use?
Answer: Slope formula
Step-by-step explanation:
You could show the slopes of the opposite sides are equal, and thus they are parallel.
1. letica started an online store selling hand made blankets. she sold 92 in her first month. how did she make if each blanket cost $49
Answer:
92 x 49 = 4,508
Step-by-step explanation:
According to the texts, she sold 92 blankets in her first month, bringing her total sales to 92, and each blanket cost $49.
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Describe the graph of y= 3x+14/x-2. Define the horizontal and vertical asymptotes and several points on either side.
The vertical asymptotes are x = 2 and horizontal asymptotes are y = 3 and the parent graph is shifted two to the right and three to the top.
What is hyperbola?It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.
We have a graph of a hyperbola:
[tex]\rm y=\dfrac{\left3x+14\right}{x-2}[/tex]
The above equation represents the hyperbola.
We can write the above equation as:
[tex]\rm y=3+\dfrac{\left20\right}{x-2}[/tex]
The vertical asymptotes: x = 2
The horizontal asymptotes: y = 3
Thus, the vertical asymptotes are x = 2 and horizontal asymptotes are y = 3 and the parent graph is shifted two to the right and three to the top.
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what is the name of the algebraic expression
Answer:
There are 3 main types of algebraic expressions which include: Monomial Expression. Binomial Expression. Polynomial Expression.
Which of these statements is true for f(x) = 2.3x?
A. The y-intercept is (0, 1).
OB. It is always decreasing.
OC. The domain is x > 0.
OD. The y-intercept is (0, 2).
Answer:D
Step-by-step explanation:when x is 0 we get y=2x3^0=2x1=2
The correct option is D.
What is a function?A function is defined as a relation between a set of inputs having one output each. a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range.
Given is a function f(x) = 2·3ˣ, we need to select the correct options regarding the function,
The properties are =
y intercept: y = 2
domain: (-∞, ∞)
decreasing interval: no
Hence the correct option is D.
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what's the square root of 2
Answer:
The square root of 2 is 1.41421
Answer:
The square root of 2 is 1.414
Need help please !!!
Answer:
2.4 is the answer I think
Step-by-step explanation:
I got you I think
Answer:
1) h= 19.4
2) p=1/2
3) k= 75
4) k= 75
5) m=18
6) t= -11
Step-by-step explanation:
wyatt has a square garden. he adds 3 feet to one side and 1 foot to the other and now it is a rectangle with an area of 24 ft^2 what are the new dimensions of the garden
Answer:
6x4 feet
Step-by-step explanation:
6 x 4 = 24
6 - 3 = 3
4 - 1 = 3
2. A used PlayStation 4 is on sale for 10% off the regular price of $160.00. If the sales tax rate is 9%, how much would I pay for the DVD player?
Answer:
$156.96
Step-by-step explanation:
10% off of $160.00 would be $16.00 so minus that by $160.00. Which then equals $144.00. Sales tax should be reduced to the sale price. So that would make it 144 times 0.09 for the 9% which equals $12.96 then add the $144.00 which then makes it $156.96. Hope it helps and I'm not wrong about sales tax:)
How many 4 digit numbers consisting of only the digits 2,4,6 and 8 are divisible by 4
Answer:
2
Step-by-step explanation:
4 and 8
Answer:
digits used once: 12repeated digits: 128Step-by-step explanation:
In order for a number to be divisible by 4, its last two digits must be divisible by 4. This will be the case if either of these conditions holds:
the ones digit is an even multiple of 2, and the tens digit is eventhe ones digit is an odd multiple of 2, and the tens digit is odd.We must count the ways these conditions can be met with the given digits.
__
Since we only have even numbers to work with, the ones digit must be an even multiple of 2: 4 or 8. (The tens digit cannot be odd.) The digits 4 and 8 comprise half of the available digits, so half of all possible numbers made from these digits will be divisible by 4.
digits used onceIf the numbers must use each digit exactly once, there will be 4! = 24 of them. 24/2 = 12 of these 4-digit numbers will be divisible by 4.
repeated digitsEach of the four digits can have any of four values, so there will be 4^4 = 256 possible 4-digit numbers. Of these, 256/2 = 128 will be divisible by 4.
identify the slope and y intercept of the function y = - 8x + 1
Answer:
Slope: -8
Y intercept: (0,1)
Step-by-step explanation:
^^^^
Answer:
[tex]\star\mathtt{Ans.\:\#1:\:Slope:-8}[/tex]
[tex]\star\mathtt{Ans.\:\#2:\:y\:intercept:\:1}[/tex]
Step-by-step explanation:
Hi student, let me help you out.
................................................................................................................
First note that the equation we are working with is in slope intercept form. Do you remember the slope intercept form equation? It's [tex]\mathtt{y=mx+b}[/tex].
In the slope intercept form equation, "m" denotes "slope" and "b" denotes "y intercept".
Looking back at our equation, let's work out the slope & y intercept.
Let's put these two equations together:
[tex]\mathtt{y=mx+b}[/tex]
[tex]\mathtt{y=-8x+1}[/tex]
See what I mean? The y intercept of this equation is 1 and the slope is -8.
Hope this helped you out! Ask in comments if any queries arise.
Best wishes from "reflect"!
[tex]\star\bigstar\underline{\overline{\overline{\underline{\textsf{Reach far. Aim high. Dream big.}}}}}\bigstar\star[/tex]
[tex]\underline{\rule{300}{6}}[/tex]
Part A: Solve for the "h." Show all work
Answer:
2.7 m
Step-by-step explanation:
Corresponding sides of similar triangles are proportional. This figure shows similar triangles ∆ABC ~ ∆ADE.
__
The proportion that can be used to find h = DE is ...
DE/BC = DA/BA
h/(0.9 m) = (12 m+6 m)/(6 m) . . . . . filling in the values given
h = (0.9 m)(18/6) . . . . . multiply by 0.9 m
h = 2.7 m
The value of "h" is 2.7 m.
Based on the diagram, which expresses all possible
lengths of segment AB?
OAB = 25
27
OAB = 85
OAB< 27 or AB > 81
MEDA
The expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81
Properties of a triangleFrom the question, we are to determine the expression that expresses all possible lengths of segment AB
From one of the properties of a triangle,
The third side of any triangle is greater than the difference of the other two sides; and the third side of any triangle is lesser than the sum of the two other sides
Then, we can write that
AB < 27 + 54
and
AB > 54 - 27
Putting the two inequalities together, we get
54 - 27 < AB < 27 + 54
27 < AB < 81
Hence, the expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81
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Over What Interval is The Function In This Graph Increasing?
The correct answer is option D.which is -4 ≤ x ≤ 1.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
in the graph, we can see that the value of x is increasing from -4 coordinate of x to the 1 coordinate of x so the interval will be given as -4 ≤ x ≤ 1.
Therefore the correct answer is option D.which is -4 ≤ x ≤ 1.
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find the equivalent expression of 2 to the power of 4
Answer:
16
Step-by-step explanation:
2^4=2*2*2*2=16
Answer:
16
Step-by-step explanation:
2^4=2*2*2*2=16
2 raise to the power of 4, which means 2*2*2*2
Which of the following expressions is equivalent to (x5 y3 z2) (x4 y3 z6) for all real values of x y, and z ?
a. x9y6z8
b. x9y9z8
c. x20y6z8
d. x20y9z12
e. x21y6z12
The product of the expressions (x⁵y³z²) and (x⁴y³z⁶) is equivalent to the expression x⁹y⁶z⁸. Then the correct option is A.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
The expression is given below.
(x⁵y³z²) and (x⁴y³z⁶)
Then the product of the expression will be
⇒ (x⁵y³z²) (x⁴y³z⁶)
⇒ x⁵x⁴y³y³z²z⁶
⇒ x⁵⁺⁴y³⁺³z²⁺⁶
⇒ x⁹y⁶z⁸
Then the correct option is A.
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which expression is equivalent to 3 x5y ?
Answer:
2nd answer is correct
Step-by-step explanation:
We know that,
[tex]\sqrt{x} =x^{\frac{1}{2} }[/tex]
[tex]\sqrt[3]{x}=x^{\frac{1}{3} }[/tex]
By following the above, we can solve the answer to the question.
Let us solve this now
⇒ [tex]\sqrt[3]{x^5y}[/tex]
⇒ [tex]x^\frac{1}{3}^*^5y^\frac{1}{3}[/tex]
⇒ [tex]x^\frac{1*5}{3}y^\frac{1}{3}[/tex]
⇒ [tex]x^\frac{5}{3}y^\frac{1}{3}[/tex]
David bought a computer that was 25% off the regular price of $1,080. If an8% sales tax was added to the Cost of the computer what was the total price David pay for
Answer:
$878.80
Step-by-step explanation
Multiply 1080 by 0.25 for the 25% which then should equal $810. 810 times 0.08 would equal 64.8. Add the 64.8 to the 810 and it should be $874.80. Hope it helps and is not wrong. :)
james has decided to start saving for a cruise over the summer. his money is currently in the local bank modeled by the function sx equals 102. he is able to do work around the neighborhood to earn extra money that the function would be a x equals eight times x +2 where x is measured in hours. explain how james can we create a function to combine the two and describe any simplification that can be done
In the scenario above, James can we create a function to combine the two by f ( x ) = 8 x + 118.
What is the simplification about?In the question above, to be able to create a function, we have to show that;
s ( x ) = 102
a ( x ) = 8 ( x + 2 )
So, a function that combines the two will be:
f ( x ) = s ( x ) + a ( x ) = 102 + 8 ( x + 2 ) =
= 102 + 8 x + 16
Therefore f ( x ) = 8 x + 118
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The mean number of stereos sold per day at a store for 6 days was 13. Which statement must be true about the stereo sales at the store?
O The store sold 19 stereos for the 6 days
O The store sold 78 stereos for the 6 days
O The store sold 13 stereos on at least half of the 6 days
O The store sold 13 stereos on at least two of the days
Answer:
well I don't know the options, but I do know that 105 would have been sold in a week.
Step-by-step explanation:
Select the correct answer from each drop-down menu.
Consider the function f(x) = 3x4 − 5x2.
This function is
1. even
2. odd
3. neither even or odd
because
1. f(x)-f(x)
2. f(x)=f(x)
3. -f(x)=f(-x)
Using the classification for even and odd functions, it is found that the function is even, because f(-x) = f(x).
How we verify if the function is even, odd, or neither?If for all values of x, f(x) = f(-x), the function is even.If for all values of x, f(-x) = -f(x), the function is odd.If neither of these statements are true, the function is neither even nor odd.Graphing the function [tex]f(x) = 3x^4 - 5x^2[/tex], for every value of x, f(x) = -f(x), that is, the function is symmetric over the y-axis, hence it is even.
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3D TRIGONOMETRY PLS HELP ME HELP