Answer:
31:5
Step-by-step explanation:
A ratio is "the quantitative relation between two amounts," according to the Oxford Dictionary. We usually put a colon (:) between the two amounts in a ratio. In the scenario given, we have 31 gold coins for every 5 silver coins. We can represent this with the ratio 31:5.
If you have any more questions, let me know! :)
Answer:
Well 31 gold coins
5 silver
basically
31:5
1. Given f(x) = 3x -4 and g(x)=-2x + 7. evaluate:
g(f(-2))
Answer:
[tex]f(x) = 3x - 4 \\ g(x) = - 2x + 7 \\ g(f(x)) = - 2(3x - 4) + 7 \\ g(f(x)) = - 6x + 8 + 7 \\ g(f(x)) = -6 x + 15 \\ g(f( - 2)) = - 6( - 2) + 15 \\ g(f( - 2)) = 12 + 15 \\ \boxed{g(f( - 2)) = 27}[/tex]
The manager of a 100-unit apartment complex knows from experience that all units will be occupied if the rent is $500 per month. A market survey suggests that, on average, one additional unit will remain vacant for each $10 increase in rent. What rent should the manager charge to maximize revenue?
Answer:
750$
Step-by-step explanation:
lets say the increase is x times 10$. it means manager asks for (500+10x) and earns it from (100-x) apartments. Revenue will be the product of the two:
[tex](500 + 10x)(100 - x) = 50 \: 000 - 500x + 1 \: 000x - 10 {x}^{2} = 50000 + 500x - 10 {x}^{2} [/tex]
its a parabola, and its maximum is on the vertex, or at
[tex]x = - \frac{b}{2a} = - \frac{500}{ - 20} = 25[/tex]
so he should add 10$ 25 times, or ask 750$
I don’t understand this :(
Step-by-step explanation:
Sum of two interior Angles equals to exterior angle . So ,
1 = 65 + 47 = 112°
And , angle sum property of a ∆ is 180° . Hence ,
2 = 180 - 65 - 68 = 47°
Pizza House offers 3 different salads, 7 different kinds of pizza, and 4 different desserts. How many different three-course meals can be ordered?
What is 2x + 45?
Plz help, Wanna T.a.l.k?
Answer:
It is linear
Step-by-step explanation:
I don't know if you needed it graphed or what was needed to solve your question
A tree that was 30 meters high was broken so that the broken part was 7 times the length of the part that was left
standing. Find the length of each part.
Please help step by step please
Answer:
Broken = 7x
Step-by-step explanation:
Left = x
x(7x) = 30
(7x² = 30)⅐
x² = 4.285
√x² = √4.285
x = 2.07
Left = 2.07 meters
Broken = 7 x 2.07 = 14.49 meters
i hope this is correct!
good luck on ur test!
please answer a and b fast
15 marks
Answer:
a) $670
b) $6600
Step-by-step explanation:
a) The decrease by 9.4% means that the price of 1 kg of silver is 90.6% of the original price
0.906P = 607, P is the price of 1 kg of silver on 1st January 2015
P = 607/0.906 = 669.9779249 ≈ $670
b) The decrease of the price was $1320, which is 20%.
0.80P = P - 1320, P is the price of 1 tonne of copper on 1st January 2010
-0.20P = 1320
P = 1320/(-0.20) = $6600
Rearrange to make x the subject
4(x-3) =y
pls help
The 4th grade class met their goal of reading of certain amount of hours during the fall. They earned their skiing trip this winter sponsored by the parent-Teacher organization. if each ski ticket costs $28 and there are 86 fourth grades, how much does PTO need to pay for the tickets?
Answer:
$2408.
Step-by-step explanation:
28 * 86
(Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)
Answer:
The length of the missing side is 7.5
Step-by-step explanation:
let the missing side be x
[tex] {9.9}^{2} = {6.5}^{2} + {x}^{2} [/tex]
98.01 = 42.25 + x^2
x^2 = 98.01 - 42.25
x^2 = 55.76
[tex] \sqrt{x {}^{2} } = \sqrt{55.76} [/tex]
x = 7.5 or 7.47
Complete the statements about the linear equation 10x + 4y =
-20. Enter the intercepts as Coordinate points.
The x-intercept is
choose your answer...
and the y-intercept is
choose your answer.…
Answer:
x-intercept: (-2, 0)
y-intercept: (0, -5)
Step-by-step explanation:
Note:Since the options were not included in the original post, I will be providing the solutions (coordinates of the intercepts).
Given the linear equation in standard form, 10x + 4y = -20, where we must determine the x- and y-intercepts of the graph:
X-intercept:The x-intercept, in the form (a, 0), is the point on the graph where it crosses the x-axis. Thus, it is the value of x when its corresponding y-coordinate is: y = 0.
In order to find the x-intercept, set y = 0 and solve for the value of x:
10x + 4y = -20
10x + 4(0) = -20
10x + 0 = -20
10x = -20
Divide both sides by 10 to solve for x:
[tex]\displaytext\mathsf{\frac{10x}{10}\:=\:\frac{-20}{\:10}}[/tex]
x = -2
Hence, the x-intercept is (-2, 0).
Y-intercept:The y-intercept, in the form (0, b ), is the point on the graph where it crosses the y-axis. Thus, it is the value of y when its corresponding x-coordinate is: x = 0.
In order to find the y-intercept, set x = 0 and solve for the value of y:
10x + 4y = -20
10(0) + 4y = -20
0 + 4y = -20
Divide both sides by 4 to solve for y:
[tex]\displaytext\mathsf{\frac{4y}{4}\:=\:\frac{-20}{\:4}}[/tex]
y = -5
Hence, the y-intercept is (0, -5).
x-40+9x-5 simplified
Answer:
your answer would be 10x-45
Step-by-step explanation:
F = 1.8 C + 32
(a) Work out the value of F when C = -8
Answer:
17.6°
Step-by-step explanation:
1.8x-8=-14.4
-14.4 + 32= 17.6°C
what’s the answer to this?
Drag and drop each reason next to the corresponding statement to prove ∠B ≅ ∠C, given point M is the midpoint of BC.
Answer:
1. Given
2. Definition of midpoint
3. Given
4. Reflexive property of congruence
5. SSS
6. CPCTC
Step-by-step explanation:
Data gathered on the shopping patterns during the months of April and May of high school students from Peanut Village revealed the following. 38% of students purchased a new pair of shorts (call this event H), 15% of students purchased a new pair of sunglasses (call this event G) and 6% of students purchased both a pair of short and a pair of sunglasses.
Where's your question?
While Dr. Andy operated, he thought of consecutive odd integers. His intensas
such that 4 times the sum of the first and fourth was 12 greater than 3 times them
the second and third. What were the first four integers on Dr. Andy's list?
Let's start with the two consecutive numbers. We don't know what are the two numbers that are side by side (consecutive), so we'll use variables but with a twist...instead of x and y, we'll use x for the first number and x+1 for the other number because the other number is 1 more than the value of x. So part of the problem looks like this: (x)+(x+1).
The problem says "the sum of one-third of the first and one-fourth of the second equal 9." One-third of the first would be 1/3(x) and one-fourth of the second would be 1/4(x+1) so if the sum is 9, then the problem is:
1/3(x)+1/4(x+1)=9.
Since we need to solve for x, we must remove the fractions. Right now they have different denominators so we need to make them the same. The least common denominator is 12 so that's the denominator to use, thus...
1/3x becomes 4/12(x) and 1/4(x+1) becomes 3/12(x+1).
Now the equation is 4/12(x)+3/12(x+1)=9
Multiply both sides by 12 so the denominators are gone:
[12•]4/12x+3/12(x+1)=9•12
4x+3(x+1)=108
Using distribution, it's now 4x+3x+3=108. Continuing on with the math...
7x+3=108
7x=105
x=15
We found x! If x=15 the the next number must be 16. Let's check the math: Does 1/3(15)+1/4(16)=9?
5+4=9 and 9=9 so YES! The numbers are 15 and 16
Find the length of the third side. If necessary, round to the nearest tenth.
what’s 4x+9-x-3x=9 ?
Answer:
x=0
Step-by-step explanation:
4x+9-x-3x=9
4x-x-3x=9-9
0x=0
x=0
PLEASE LAST ONE HELP!!!
Answer:
JKN and ONK
Step-by-step explanation:
Hope this helps :)
divide four into twelve
Answer:
3
Step-by-step explanation:
Four circles and 12 dots, divide them equally into the circles.
Answer:
3
Step-by-step explanation:
It's kinda like multiplying 3 and 4 then get 12
Make y the subject of the formula
w=x^2-2yz
Answer:
Solve for y by simplifying both sides of the equation, then isolating the variable.
y = x^2/2^z - w/2z
Step-by-step explanation:
Answer:
w=x^2-2yz
x^2-w=2yz
x^2-w=y
2z
Step-by-step explanation:
If 2x +4= 36, what is the value of x?
Answer:
2x + 4 = 362x = 36-42x = 32x = 32/2x = 16Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Estimate the sum of 462+526+856
Answer: 1844 because you just simply add 462+526+856=1844.
8th Grade Math
Janelle is saving $6 per week to buy a new bike. she has $85 on week five. How do you write this in slope intercept form?
May I please receive help?
Answer:
74 meters
Step-by-step explanation:
The table shows the portions of copper
Ring
Portion that is Copper
Red gold
25%
Pink gold
0.2
Rose gold
9
40
Which ring has the highest portion of copper?
Answer:
Red Gold
Step-by-step explanation:
Assuming you mean 9/40
Red gold = 25%
Pink Gold = .2 which is 20%
Rose gold is [tex]\frac{9}{40}[/tex] = .225 which is 22.5%
what pattern do you noticed for each column
Answer:
If you look at the "Standard Form" column, you can take any number from an upper row and divide it by 4 to get the number in the row below it.
For example: You can take 256 and divide it by 4, and that will give you 64. Like wise, if you take 64 and divide it by 4 you will get 16.
This tells us that every time you add 4 to the equation, your answer will keep increasing 4 times.
Step-by-step explanation:
Hope that makes sense :)
If you still don't get it, please let me know.
Someone returned a pair of sunglasses for a refund of $14.75.
What number represents the effect on the store's earnings?
Answer:
-14.75
Step-by-step explanation:
i did it on iready & got it wrong .
Answer:
-14.75
Step-by-step explanation:
which numbers belong to the solution set of the inequality x+6=45
