Answer:
volume left in A is 80ml
Step-by-step explanation:
let original volume in both be x ml
after pouring from A to B
vol in A = x - 120
vol in B = x + 120
now it is given that
vol in B = 4 times vol in A
implies
[tex]x + 120 = 4 \times (x - 120) \\ x + 120 = 4x - 480 \\ 3x = 600 \\ x = 200[/tex]
hence original volume in A is 200ml. after pouring in B it is 200-120 = 80 ml
A music website charges x dollars for individual songs and y dollars for entire albums. Person A pays $5.45 to download 2 individual songs and 3 albums. Person B pays $8.41 to download 5 individual songs and 4 albums. Write a system of linear equations that represents this situation. How much does the website charge to download a song? an entire album?
Answer:
Amount charged for downloading individual songs = x dollars
Amount charged for downloading an entire album = y dollars
In respect to person A:
6x + 2y = 25.92
3x + y = 12.96
y = 12.96 - 3x
In respect to person B:
4x + 3y = 33.93
Putting the value of y from the first equation in the second, we get
4x + 3(12.96 - 3x) = 33.93
4x + 38.88 - 9x = 33.93
- 5x = - 4.95
x = 0.99 dollars
Putting the value of x in the first equation, we get
y = 12.96 - 3x
= 12.96 - 2.97
= 9.99 dollars
Step-by-step explanation:
The surface area of the prism is ______ square units. All measurements in the image below are in units. (Input whole number only.)
Numerical Answers Expected!
Answer for Blank 1:
Answer:
54
Step-by-step explanation:
Surface area of triangular prism = bh + L(s1 + s2 + s3)
Where,
b = 3
h = 4
L = 3.5
s1 = 3
s2 = 4
s3 = 5
Plug in the values into the equation
Area of the triangular prism = 3*4 + 3.5(3 + 4 + 5)
= 12 + 42
= 54 units²
A family decides to hold two Christmas parties, one on Christmas Eve and one on Christmas Day. The youngest person to attend the Christmas Eve party is 15 and the oldest is 29. The youngest person to attend the Christmas Day party is 27 and the oldest is 42. Which party has a larger age range of visitors?
Answer:
Christmas Party
Step-by-step explanation:
Christmas Eve party :
Youngest = 15
Oldest = 29
Therefore , range = 29 - 15 = 14
Christmas Party :
Youngest = 27
Oldest = 42
Therefore, range = 42 - 27 = 15
Christmas Day party has a larger age range of visitors.
Given that: The youngest person to attend the Christmas Eve party is 15 and the oldest is 29. So the range is = 29 - 15 = 14.
Given that: The youngest person to attend the Christmas Day party is 27 and the oldest is 42. So, the range is = 42 - 27 = 15.
Since 15 > 14, so Christmas Day party has a larger age range of visitors.
Learn more: https://brainly.com/question/22739156
¿Qué tiempo será necesario para que $ 2.340.260 se conviertan en $3.393.377 al 1,25% de interés simple mensual?
Answer:
The right solution is "36 years".
Step-by-step explanation:
Given:
Principle,
P = $2,340,260
Amount,
A = $3,393,377
Simple interest,
SI = 3,393,377 - 2,340,260
= $1,053,117
Rate of interest,
r = 1.25%
As we know,
⇒ [tex]SI=\frac{Prt}{100}[/tex]
By substituting the values, we get
⇒ [tex]1053117=\frac{2340260\times 1.25\times t}{100}[/tex]
⇒ [tex]10531170=292532.5\times t[/tex]
⇒ [tex]t=\frac{10531170}{292532.5}[/tex]
⇒ [tex]=36 \ years[/tex]
Traci spent hour eating breakfast and
į hour helping clean up after breakfast.
How much time did she spend in all?
Give your answer in simplest form.
hour
Enter
Plz help
Consider this function in recursive form.
A1 = -8
An = 3 + an-1
Enter an equivalent equation written in explicit form where n is the term number.
Type your response in simplest form. Do not type any spaces in your response.
an
An = _____
Answer:
Step-by-step explanation:
Io
Ann borrowed $800 for 4 years the yearly interest was 16% how much interest did she owe after 4 years
Answer:
$512
Step-by-step explanation:
Interest = 16% of 800
= 16/100 x 800
= $128
Interest for 4 years = 128 x 4
= $512
Nick spends 18% of his monthly budget on his rent payment, which is $700.
Which proportion can be used to calculate Nick’s total monthly budget?
Answer: [tex]\frac{700}{y} =\frac{18}{100}[/tex]
Step-by-step explanation: 18% is a fraction [tex]\frac{18}{100}[/tex]
In this case since 700 18% of the budget we can do the same thing with the budget being valued as y.[tex]\frac{700}{y}[/tex]
Help me plsss!! Thanks
Answer: B or D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The answer must have 5! since it is a combinaiton of letters without any repeats. Since you want two words, its 2/5!
please help asap find x
Answer:
C
Step-by-step explanation:
Given 2 intersecting chords in a circle, then
The product of the parts of one chord is equal to the product of the parts of the other chord, that is
x × x = 4 × 9
x² = 36 ( take the square root of both sides )
x = [tex]\sqrt{36}[/tex] = 6 → C
If I = “-1” then i2 =
Answer:
-2
Step-by-step explanation:
negative times positive equal negative so
-1×2= -2
Answer:
[tex] \large{ \tt{✺ \: EXPLANATION}} : [/tex]
We're provided - i = -1 & we're asked to find out the value of i².Plug the value of ( i ) in ( i ²) , it would be ( - 1 ² ). Now , You must have known that when the two negative integers are multiplied , the result will be a positive integer i.e ( - 1 ) × ( - 1 ) = 1 .[tex] \large{ \boxed{ \boxed{ \tt{↝OUR \: FINAL \: ANSWER: \boxed{1}}}}}[/tex]
☂ Let me know if you have any questions regarding my answer :)▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Please help it's not working
Answer: 582.7526
Step-by-step explanation:
p =3,14
r =13,4:2=6.7
r^2=44.89
SA= 3,14*44.89+3,14*6,7*21= 582,7526
when you dont replace the marble for the second draw what kind of probability is it
Answer:
Dependent
Step-by-step explanation:
The probablity of the second draw depends on the results of the first draw.
Ophelia spins each of the three shown spinners once. What is the probability that the first spinner will land on A, the second on 4, and the third on Green? Enter your answer as a fraction in simplest form. Use / to write your fraction.
Answer:
1 /24
Step-by-step explanation:
Given the 3 spinners :
Probability = required outcome / Total possible outcomes
Probability that Spinner 1 lands on A :
P(spinner 1 lands on A) = 1/2
Probability that spinner 2 lands on 4 :
P(lands on 4) = 1 / 4
Probability that spinner 3 lands on green :
P(lands on green) = 1/3
Combined probability = 1/2 * 1/4 * 1/3 = 1 /24
**PLEASE HELP**
Given: f(x) = 3x - 5, and g(x) = x² - 4x, find g(f(3))
Answer and Step-by-step explanation:
Plug 3 in for f(x), then plug the result of f(x) into g(x).
f(3) = 3(3) - 5
f(3) = 9 - 5
f(3) = 4
g(4) = [tex](4)^2 - 4(4)[/tex]
g(4) = 16 - 16
g(4) = 0
So, g(f(3)) = 0
#teamtrees #PAW (Plant And Water)
Answer:
0 is the final answer
Step-by-step explanation:
Substitute given values for x accordingly
Find the median of 3,4,6,2,2,9,2,10
The answer is 4.75 you just need to add all of the numbers and then divide it to the total sum :)
Carry On Learning (◕ᴗ◕✿)
I need help on this
Answer:
it is FH < HI
Step-by-step explanation:
An office manager buys 34 chairs for the new office. Each chair cost $205. What is the total amount the office manager pays for chairs?
Multiply the number of chairs by the price of the chair:
34 x 205 = 6,970
Total spent = $6,970
For a rollerblading party there are 50 tickets available. Jason buys 6 tickets and Heather buys three times as many as Jason bought. How many tickets are left to be sold?
Show your work
Answer:
There are 26 tickets left to be sold.
Step-by-step explanation:
Jason - 6 tickets
Heather - 6(3) = 18 tickets
6+18 = 24 tickets
50-24 = 26 tickets
V = I ( R + r )
r = ?
Answer:
r = [tex]\frac{V-IR}{I}[/tex]
Step-by-step explanation:
Given
V = I (R + r) ← distribute parenthesis
V = IR + Ir ( subtract IR from both sides )
V - IR = Ir ( divide both sides by I )
[tex]\frac{V-IR}{I}[/tex] = r
A new car is purchased for 18,000 dollars. The value of the car depreciates at 11.5% per year. What will the value of the car be, to the nearest cent, after 10 years?
Answer:
Step-by-step explanation:
The exponential decay function is
[tex]v(t)=a(b)^t[/tex] where b, the rate of decay, for us is (1 - .115) and a is the original value of the car which, for us, is 18000. t is the time in years. Using this information to write the equation we need to solve for the value when the car is 10 years old:
[tex]v(t)=18000(.885)^t[/tex] and we sub in 10 for t:
[tex]v(t)=18000(.885)^{10[/tex] which simplifies to
v(t) = 18000(.2947356754) so
v(t) = 5305.24
Someone please help me with this lol… have no idea what I’m doing
Given:
[tex]\cos \theta =\dfrac{3}{5}[/tex]
[tex]\sin \theta <0[/tex]
To find:
The quadrant of the terminal side of [tex]\theta[/tex] and find the value of [tex]\sin\theta[/tex].
Solution:
We know that,
In Quadrant I, all trigonometric ratios are positive.
In Quadrant II: Only sin and cosec are positive.
In Quadrant III: Only tan and cot are positive.
In Quadrant IV: Only cos and sec are positive.
It is given that,
[tex]\cos \theta =\dfrac{3}{5}[/tex]
[tex]\sin \theta <0[/tex]
Here cos is positive and sine is negative. So, [tex]\theta [/tex] must be lies in Quadrant IV.
We know that,
[tex]\sin^2\theta +\cos^2\theta =1[/tex]
[tex]\sin^2\theta=1-\cos^2\theta[/tex]
[tex]\sin \theta=\pm \sqrt{1-\cos^2\theta}[/tex]
It is only negative because [tex]\theta [/tex] lies in Quadrant IV. So,
[tex]\sin \theta=-\sqrt{1-\cos^2\theta}[/tex]
After substituting [tex]\cos \theta =\dfrac{3}{5}[/tex], we get
[tex]\sin \theta=-\sqrt{1-(\dfrac{3}{5})^2}[/tex]
[tex]\sin \theta=-\sqrt{1-\dfrac{9}{25}}[/tex]
[tex]\sin \theta=-\sqrt{\dfrac{25-9}{25}}[/tex]
[tex]\sin \theta=-\sqrt{\dfrac{16}{25}}[/tex]
[tex]\sin \theta=-\dfrac{4}{5}[/tex]
Therefore, the correct option is B.
Need help with this geometry question
Answer:
I think it's 6 (square root) 2
Chang used a coordinate plane to show where his posters are displayed on his bedroom wall. Three posters are located at E(5, 3), F(–4, 3), and G(–4, 5). Use absolute values of coordinates to find the distances between points E and F, and between points G and F. Enter your answers in the boxes. EF = units GF = units
Answer:
EF = 9
GF = 2
Step-by-step explanation:
For EF, we want to find the distance between their c coordinates, since their y coordinates are the same. We want the distance between -4 and 5, which when you add their distance from 0, is 9.
For GF, they share the same x coordinate, so you're finding the distance between their y coordinates, which are 3 and 5. The distance between the two is 2, so the length of GF is 2.
Please please help me with this
Step-by-step explanation:
i think is k , m , l
bcause 4 is the smallest number,
and 12 is the biggest number.
Marking brainliest
Is it I don’t know much about them, or I don’t know much about it? It or them?
can someone pls help for brainlest
Answer:
6 x 8 = 48 yd2 (square yards)
Step-by-step explanation:
Answer:
Area of triangle is 23 yd².
Step-by-step explanation:
Given :-
Base of triangle = 8 yd
Height of triangle = 6 yd
To find
Area of triangle
Solution :-
we know that,
Area of triangle = 1 / 2 × base × height
substitute the values
Area of triangle = 1/2 × 8 yd × 6 yd
multiplying the values
Area of triangle = 1/2 × 46 yd²
divide the values
Area of triangle = 46 yd ² /2 = 23 yd².
Therefore, Area of triangle is 23 yd ².
please I need help thanks if u helped me
Answer:
Step-by-step explanation:
Hope this helps u !!
Answer:
u just gave that are we meant to solve it is there anything to substitute into it what are we actually meant to do?
Step-by-step explanation:
Find the area of the triangle defined by the coordinates (-3,-4), (-7.0), and (-3, 4).
i think D is the answer 16
Complete the angle addition postulate for the following angle
Given:
A figure and an incomplete equation [tex]m\angle GEM+m\angle MEO+m\angle \_\_[/tex].
To find:
The missing value for the given equation by using the angle addition postulate.
Solution:
A ray EM divides the angle GEO into two parts. The first part is [tex]\angle GEM[/tex] and the second part is [tex]\angle MEO[/tex].
Using the angle addition postulate [tex]\angle GEO[/tex] is the sum of [tex]\angle GEM[/tex] and [tex]\angle MEO[/tex].
[tex]m\angle GEM+m\angle MEO+m\angle GEO[/tex]
Therefore, the missing value is GEO and the complete equation is [tex]m\angle GEM+m\angle MEO+m\angle GEO[/tex].