A company produces fruity drinks that contain a percentage of real fruit juice. Drink
A contains 20% real fruit juice and Drink B contains 15% real fruit juice. The
company used 100.5 liters of real fruit juice to make 30 more liters of Drink A than
liters of Drink B. Write a system of equations that could be used to determine the
number of liters of Drink A made and the number of liters of Drink B made. Define
the variables that you use to write the system.
Answer:
x = amount of real fruit juice used to make Drink A
y = amount of real fruit juice used to make Drink B
Step-by-step explanation:
Let
x = amount of real fruit juice used to make Drink A
y = amount of real fruit juice used to make Drink B
1. The company used 100.5 liters of real fruit juice, then
2. Drink A:
x = amount of real fruit juice used
percentage of real fruit juice
Then
5x = amount of drink A produced
Drink B:
y = amount of real fruit juice used
percentage of real fruit juice
Then
amount of drink B produced
The company makes 30 more liters of Drink A than liters of Drink B, so
The system of two equations is
If cosθ = 8/17 then find tanθ . *
1 point
8/15
15/17
17/15
15/8
Answer:
15/8
Hope it helps
Please mark me as the brainliest
Thank you
please help me, if you're correct i'll mark brainliest :)))))
Answer:
Answer below
Step-by-step explanation:
right
acute
i believe this is correct :)
A store wants to display 45 boxes of plates. Each shelf can fit 6 boxes of plates. The store will display as many boxes on each shelf as possible.
How many shelves does the store need to display all the boxes?
Answer: 7
Step-by-step explanation: because 45 divided by 6 is 7.5
A taco charges $2.50 plus a fee of $0.05 for each mile traveled. If the ride costs $7.50, how many miles was the ride?
Answer:
100 miles
Step-by-step explanation:
7.50-2.50=5.00
100x0.05=5.00
Answer:
2.9 miles or 3 miles
Step-by-step explanation:
1. Add 2.50 & 0.05 (dont forget to line up the decimals!)
2. Divide 7.50 & 2.55
3. You then get your final answer. ( round to the nearest tenths-)
A- im sorry if this is wrong T-T
1.02 quiz sinusoidal graphs
The characteristics of the sinusoidal function can be found from the given
graph of the function.
Correct Response;The minimum of the sinusoidal function is 1Method used to arrive at the above response;The sinusoidal function is the sine function that has the following general equation;
y = a·sin(b·(x - h)) + ka = The amplitude
b = Angular frequency
h = The horizontal shift
k = The vertical shift
Required:The minimum value of the sinusoidal function.
Solution;From the given graph, we have;
The amplitude, a = 2
The period, T = 10 = 2·π/b
b = π/5
The vertical shift, k = 3
The horizontal shift = 0
The minimum value of the function = k - a
Therefore;
The minimum value of the function is; 3 - 2 = 1Learn more about sinusoidal functions here:
https://brainly.com/question/6666829
Answer:
[tex]\displaystyle 1[/tex]
Step-by-step explanation:
[tex]\displaystyle \boxed{y = 2cos\:(\frac{\pi}{5}x - \frac{\pi}{2}) + 3} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{2\frac{1}{2}} \hookrightarrow \frac{\frac{\pi}{2}}{\frac{\pi}{5}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{10} \hookrightarrow \frac{2}{\frac{\pi}{5}}\pi \\ Amplitude \hookrightarrow 2[/tex]
OR
[tex]\displaystyle \boxed{y = 2sin\:\frac{\pi}{5}x + 3} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{10} \hookrightarrow \frac{2}{\frac{\pi}{5}}\pi \\ Amplitude \hookrightarrow 2[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 2cos\:\frac{\pi}{5}x + 3,[/tex] in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle 2\frac{1}{2}\:units[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle 2\frac{1}{2}\:units,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{2\frac{1}{2}} = \frac{\frac{\pi}{2}}{\frac{\pi}{5}}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2cos\:(\frac{\pi}{5}x - \frac{\pi}{2}) + 3.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph approximately hits [tex]\displaystyle [-10, 3],[/tex]from there to the y-intercept of [tex]\displaystyle [0, 3],[/tex]they are obviously approximately [tex]\displaystyle 10\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 10.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 3,[/tex]in which each crest is extended two units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
**Now, the minimum value is the lowest possible value the graph touches, and in this case, the graph's lowest peaks cycle around [tex]\displaystyle y = 1,[/tex]therefore the minimum of his sinusoidal function is [tex]\displaystyle 1.[/tex]
I am delighted to assist you at any time.
Find the value of x in the angle pair.
Answer:
x=30
Step-by-step explanation:
180-55=125
5x-25=125
125+25=150
5x=150
5/150=30
x=30
factorise fully 18x-9
Answer:
9(2x-1)
Step-by-step explanation:
common factor of both 9 and 18 is 9
thus, you can take a 9 out
9(2x-1)
(to check if it is correct, you can expand it, and if it is the same as original then it is correct )
Answer:
9 (2x-1)
Step-by-step explanation:
Grouping
1. Common factor:
18x-9
Solution:
9 (2x-1)
Two Forest Ranger stations are located 9.8 miles apart. They both receive the same distress call. They determine that from Ranger Station 1 the distress call is at an angle of 46° and from Ranger Station 2 it is at angle of 52°. Which ranger station is closer to the distress call and by how much?
Answer:
Ranger station 2 is closer by 3.47 miles
Step-by-step explanation:
tan(46)=O/9.8
O (ranger station 2 to distress call)=10.15 miles
sin(46)=9.8/H
H (ranger station 1 to distress call)=13.62 miles
13.62-10.15=3.47 miles
So, ranger station 2 is closer by 3.47 miles
The floor of hexagonal barn has a perimeter 1260
feet. The sides of the barn are of equal length. Find
the total area of the floor.
Answer: 5040
Step-by-step explanation: There are 4 sides which is equal to 1260, 1260 x 4 = 5040
The original scale factor for a scale drawing of a house plan is 1/80, and the length of the original scale drawing is 12 inches. What is the length of the actual house if the scale factor is 1/80? PLEASE HELP!
Answer:3
Step-by-step explanation : because i division
(+3 120-130'+ 24c +8
Answer:
whats your question? its hard to answer a question without info man
Step-by-step explanation:
In circle O, chords AC and BD intersect at E. If MCD= 120 and MAB=100, what is BEC?
Answer:
D. 70°Step-by-step explanation:
∠BEC is supplementary with ∠BEA
Find the measure of ∠BEA
m∠BEA = 1/2(mCD + mAB)m∠BEA = 1/2(120° + 100°) = 110°Supplementary angles sum to 180°
m∠BEC + m∠BEA = 180°m∠BEC = 180° - 110° = 70°Correct choice is D
Easy brainly!!! Please Help!!
Answer:
64
Step-by-step explanation:
Given :
h α 1 / sqrtk
h = k/sqrt(d)
Obtain the value of k, when. d = 4 and h = 20
20 = k / sqrt(4)
20 = k / 2
20 * 2 = k
k = 40
Therefore, the value of d when h = 5
h = k/sqrt(d)
5 = 40 / sqrt(d)
Square both sides
25 = 1600/d
25d = 1600
d = 1600 / 25
d = 64
d = 64
Va rog ajutați ma cand trebuie sa scriu temele!
Answer:
nudaw HAHABSASASNA
Step-by-step explanation:[tex]x^{2} g[/tex]
hggggguuuuugs berte bhu jira yuwa
Determine the volume of the entire Charter School.11 points
Answer: 512m³
Step-by-step explanation:
v = whl
The volume for left building:
v = w x h x l
v = 4 x 10 x 8
v = 320 m³
The volume for right and lower building:
v = w x h x l
v = 8 x 4 x 6
v = 192 m³
The total volume for the entire Charter School is: 320m³ + 192m³ = 512m³
What is the slope between the points (-1,3) and (2, 5)?
Answer:
2 is the slope
you have to use this: y2-y1
x2-x1
y2= 5 y1= 3
x2= 2 x1= -1
5-3=2
2-1=1
Is -6.743743… a rational or irrational number?
Your answer:
Rational because .743 repeats
Rational because the 6 is negative
Irrational because the number never ends
Irrational because the 6 is negative
It's rational because it contains a repeating digit pattern, 743 (first option).
In particular, if
x = -6.743743…,
then
1000x = -6,743.743743… .
Subtracting, we can eliminate the trailing end and solve for x exactly:
1000x - x = -6,743.743743… - (-6.743743…)
999x = -6,737
x = -6,737/999
19+7 divided by 2 - 5 with brackets to equal 8?
Answer:
8
Step-by-step explanation:
Given that
19 + 7 divided by 2 - 5
So if we solve this we have to apply proper brackets
= (19 + 7) ÷ 2 - 5
= 26 ÷ 2 - 5
= 13 - 5
= 8
After solving this the answer is 8
Which of the following was a consequence of the U.S.-Mexican War?
Idea of Manifest Destiny
Debate over slavery in the territories
Annexation of Texas
Election of James K. Polk as president
I need help with this question it's for a important grade and if anyone can help that will be great.
Step-by-step explanation:
33+13+90=136+?=180
136-180=44
X=44
Help needed for assignment
Can someone please help its asking for solution to the system of linear equations ?
Answer:
there are not solutions because they never cross each other
* Countdown
Series 5 / Page 6
Justin has a paper parallelogram with a
lotted line drawn on it. He will use scissors
o cut along the line, forming a triangle and
pentagon
7 cm
8 cm
3 cm
3 cm
Which equation can be used to find p. the
area of the pentagon?
A p= (7 6 / (3.3)
Bp=(7-6)-(3.3)
cp-417.6.3.3)
Dp = (7 + 6) - (3 + 3)
Answer:
A
Step-by-step explanation:
Area of pentagon = Area of parallelogram - area of triangle
= (base * height ) - [tex]\frac{1}{2}*b*h[/tex]
= (7 * 6) - [tex]\frac{1}{2}[/tex] * 3 * 3
if i had 8 cents and i divied it bye 8 how much will it be help
Answer:
1 simple
Step-by-step explanation:
hi, please help thank you !
A randomly selected group of 80 high school students was surveyed to see if Math or English was their favorite subject.
Part A: What percent of students surveyed are in the 10th grade? Round your answer to the nearest percent.
A)29%
B)14%
C)71%
D)15%
Answer:
A because 11 +12 is 23 and A is the closest
list the sides of the triangle in order from smallest to largest
Answer:
p,q,r
Step-by-step explanation:
Name the property illustrated.
(4 + 6) + 9 = 4 + (6 + 9)
Find the pair of numbers that will multiply to give you the bottom number and add to the top number
Answer:
4 and 3
4 and 5
4 and 6
3 and -8
-4 and -21
4 and 36
4 and -7
Step-by-step explanation:
1)
4 + 3 = 7
4 × 3 = 12
2)
4 + 5 = 9
4 × 5 = 20
3)
4 + 6 =10
4 × 6 = 24
4)
3 - 8 = -5
3 × (-8) = -24
5)
-4 - 21 = -25
-4 × (-21) = 84
6)
4 + 36 = 40
4 × 36 = 144
7)
4 - 7 = -3
4 × (-7) = -28
What is the measure for ECD
Answer:
118
Step-by-step explanation:
a triangle is 180 degrease and two sides that are equal to each other which means the angles across from them have the same thing.
so. 180-31-31=118