Answer:
There needs to be 300 liters of Drink A and 270 liters of Drink B
Step-by-step explanation:
Let a = the amount of Drink A and b = the amount of Drink B
Multiplying a number by 0.2 is the same as calculating 20% of it and same goes with 15% and 0.15. This makes our equation for the amount of fruit juice:
0.2a + 0.15b = 100.5
We know what the difference between a and b will be 30 liters so:
a - b = 30
Now we have our system of equations
To cancel out a, we can multiply the first equation by -5 so we will now have:
-a - 0.75b = -502.5
a - b = 30
Adding these two equations together, we get:
-1.75b = -472.5
Both sides are negative, so we can take the negative signs away.
1.75b = 472.5
Now divide both sides by 1.75
b = 270
Plugging 270 into b, we have:
a - b = 30
a - 270 = 30
Add 270 to both sides
a = 300
There needs to be 300 liters of Drink A and 270 liters of Drink B
The system of linear equations which could be used to find the amount in litres of drinks A and B are :
(0.2a + 0.15b) = 100.5a - b = 30Let :
Amount of drink A = a
Amount of drink B = b
Percentage of real fruit juice for drink A = 20%
Percentage of real fruit juice for drink B = 15%
Total litres made = 100.5
(Amount of drink A × percentage) + (Amount of drink B × percentage) = Total litres
(0.2a + 0.15b) = 100.5 - - - - - (1)The difference between the amount of drink A and B made :
Drink A is 30 liters more than B :
a - b = 30 - - - - - (2)The system of equations required to determine the amount of drink A and B made are :
(0.2a + 0.15b) = 100.5a - b = 30Learn more : https://brainly.com/question/20379472?referrer=searchResults
In one game of basketball Henry scored 24 points.
How many points would Henry score if he played 3 games of
basketball?
Answer:
72
Step-by-step explanation:
24 x 3 = 72 just like the problem.
Sue juiced oranges from her orange trees. From the first two trees she collected 2/6 gallon of juice from each tree. The last tree yielded 2/3 gallon. After using some of the juice she collected for breakfast, Sue found that she only had 3/4 gallon of juice left. How much juice did she use for breakfast?
Answer:
Step-by-step explanation:
She collected 2/6 gallon of orange juice from two trees and 2/3 from the last tree. To add these two fractions, both must have common denominators.
Multiply both the numerator and denominator of 2/3 by 2. This results in 4/6.
Now you have 4/6 + 2/6 which equals 8/6. This can be converted to 1 and 2/6, further simplified to 1 and 1/3. Therefore, Sue collected a total of 1 and 1/3 gallons of orange juice.
Please help brainiest will give you!
Find the slope of it!
A. -3
B. -1/3
C. 1/3
D. 3
im slow so could somebody help me please
Answer:
Divide the numerator and denominator by 6
an elevator began at an elevation of 85.5 feet and ascended at a rate of 2.75 feet per second. what was the elevation of the elevator after 8 seconds?
Answer:
107.5
Step-by-step explanation:
8 × 2.75ft = 22ft
22ft + 85.5ft = 107.5ft
Answer:
107.1
Step-by-step explanation:
the elevator is at 85.5 feet.
if the ascending (going up) rate is 2.75 and you want to know how far in 8 seconds, it's an easy process.
1. find the direction your going (up or down)
2. how far? (what rate for this one)
3. multiply said problem (2.75 x 8)
4. get your answer (21.6 ft per 8 seconds)
5. add or subtract to the height you are at now (85.5 ft)
6. you now have your answer! (107.1 ft in the air)
Planet X is 1/2 of a light-year away from Earth. Planet Y is 3/10 of a light-year away from Earth. How much farther away is Planet X?
Answer:
1/2= 5/10
5/10 - 3/10 = 2/10 or 1/5
so planet X is 1/5 of a light-year closer
Step-by-step explanation:
Answer:
5/10
Step-by-step explanation:
Simplified
PLEASE HELP AND SHOW WORK
find the value of the expression n+2×m
for m=6 and n =4
Answer:n=4
m=6
Step-by-step explanation:
(solve for bracket first the add)
4+2×6
4+12
16
The slope of the graphed line is . Which formulas represent the line that is graphed? Check all that apply.
y – 1 = (x – 2)
y – 2 = (x – 1)
y – 4 = (x – 4)
f(x) = x +
f(x) = x +
Answer:
B, C, E Is the answer on edge :3
Step-by-step explanation:
Have a good day :3
Answer:
B C E
Step-by-step explanation:
Katsuki Bakugou was here you Extras
9
1 point
The elevator of a building can safely carry no more than 4000 lbs. A worker moves supplies in 50-Ibs boxes from the loading dock to the
fourth floor of the building. The worker weighs 210 lbs. The cart weighs 95 lbs. What is the greatest number of boxes he can move in one
trip?
1
Write an inequality and solve.
2
b choose your answer...
V
type your answer...
3
4
Next
Previous
5
6
7
8
True or false
In order to
calculate interest, it is
the Principal times the
Rate minus any
Overdraft Fees.
Answer:
true
Step-by-step explanation:
Hope this helps. :)
A
Solve the triangle.
19.3
b
45°
105
B
a
you'd like your pendulum to take 20 seconds to complete a cycle how long will the pendulum need to be? is the reasonable in your building which is planned to be 20 feet long?
Answer:
Concept: Mathematical Analysis
The full rotation of a pendulum is attached, plug in the values and solve.Rate brainlist.33.For a car traveling at a constant speed, the distance driven, d
kilometers, is represented by d(t)=80t, where t is the time in hours. The
cost of gasoline, in dollars, for the drive is represented by C(d)=0.09d.
Evaluate C(d(10))
Given:
[tex]d(t)=80t[/tex]
[tex]C(d)=0.09d[/tex]
To find:
The value of [tex]C(d(10))[/tex].
Solution:
We have,
[tex]C(d(10))=C(80(10))[/tex] [tex][\because d(t)=80t][/tex]
[tex]C(d(10))=C(800)[/tex]
Now,
[tex]C(d(10))=0.09(800)[/tex] [tex][\because C(d)=0.09d][/tex]
[tex]C(d(10))=72[/tex]
Therefore, the value of [tex]C(d(10))[/tex] is 72.
fing the sum of the interior angle measures of the polygon
My remainder is 8. My dividend is 80. I am a 1- digit number. What divisor am I?
Answer:
9 is the answer..
Step-by-step explanation:
pls mark me the brainliest
Answer:
The divisor is 9.
Step-by-step explanation:
a) Data and Calculations:
Remainder = 8
Dividend = 80
Number divided evenly without remainder 8 = 80 - 8 = 72
72/9 = 8
b)There are four main numbers under the divisional mathematical rule. The first number is the dividend which is the number 80 that is being divided by the divisor. The divisor (9) is the number that divides 80. The quotient (8) is the result obtained by the division, while the remainder 8 is the number left over after the division.
Zach created a blueprint using only similar parallelograms. Which statement about the parallelograms must be true? A) The parallelograms all have congruent sides and angles. B) The parallelograms have corresponding angles that are not congruent. C) The parallelograms have proportional corresponding sides. D) The parallelograms have corresponding sides that are congruent.
Answer:
A) The parallelograms all have congruent sides and angles.
Step-by-step explanation:
Remember, a parallelogram in simple words is a flat shape (either a square, rectangle, or rhombus) that has four sides of equal length, and whose opposite angles are congruent.
In other words, Zach's blueprint using similar parallelograms would be chosen from either a square, a rectangle, or a rhombus, which all have congruent sides and angles.
Answer:
C
Step-by-step explanation:
I got it wrong because I listened to the other guy :\
Have a great day!
ALSO: PRESS PICTURE TO SEE PROOF, SORRY IT CAME OUT BLURRY, ONCE YOU PRESS IT, IT WILL BE NORMAL.
Estimate the difference.
14One-ninth – 5.89
8
12
16
20
Round 14One-ninth to 14
Round 5.89 to 6
Now subtract: 14-6 = 8
The answer is 8
2 increased by 8 times a number is equal to 5. Write an equation or inequality.
Please help??? Thank you!!!
Answer:
Step-by-step explanation:
The graph that would give the result of an integration and hence f would be the top one. f = x^4/4 - x^3 + a constant (perhaps zero) would look like the top graph. Just to show you that is true, I've enclosed a graph. The graph is of f which is given 2 lines up.
Which of the following expressions results in a positive number?
5. ( - 1)
-30(-8)
-6 (2)
Sect one:
Answer:
-30(-8)
Step-by-step explanation:
A negative times a negative always equals a positive.
The points in the table lie on a line. Find the slope of the line.
Answer:
-7/6
explanation
if the points correlating to the (x,y) functions are plotted out on a graph, using the rise-over-run method will result in finding a slope of -7/6
Write an equation in slope-intercept form for the line parallel to y=3x-2 that passes through the point (5,-2)
Answer:
y = 3x - 17
Step-by-step explanation:
Parallel lines have the same slope.
The slope of the given line, y = 3x - 2 is 3.
The equation we are looking for is of the form
y = mx + b
Since we know the slope, m, is 3, we have
y = 3x + b
To find the value of b, we substitute x and y with the values from the given point and solve for b.
-2 = 3(5) + b
b = -17
The equation is
y = 3x - 17
what is the volume of a regular octahedron inside a cube with the length of its sides measuring 4 centimeters
Answer:
We conclude that the volume of a regular octahedron will be:
[tex]\:\:V\:\approx \:30.17[/tex] cmStep-by-step explanation:
Given
The length of one of the side or edge of a regular octahedron = a = 4 cm
To determine
The volume of a regular octahedron = V
Using the formula to determine the volume of a regular octahedron
[tex]V\:=\:\frac{\sqrt{2}}{3}a^3[/tex]
substituting a = 4 in the volume equation
[tex]V=\frac{\sqrt{2}\cdot \:4^3}{3}[/tex]
[tex]V=\frac{64\sqrt{2}}{3}[/tex] ∵ 4³ = 64
[tex]\:\:V\:\approx \:30.17[/tex] cm
Therefore, we conclude that the volume of a regular octahedron will be:
[tex]\:\:V\:\approx \:30.17[/tex] cmbrainly what is y = 5x + 8; (2, 16)
Answer:
for finding the parallel line its y= 5x+6
Step-by-step explanation:
for the slope and y intercept its slope+5
y intercept its (0,8)
hopes this helps.
Dantes Soccer Team Sells T-Shirts To raise money for new equipment. For Each T-shirt sold the team raises $8. Parents Also make a donation of $100 toward the equipment.
What is The equation That the total amount raised y , if x T-shirts are sold?
A. y= 8x
B. Y=12.5x
C. y= 100x + 12.5
D. y= 8x + 100
Answer:
It would be D
Step-by-step explanation:
If log 2 = x and log 3 = y, write each logarithm in terms of x and y.
a) log 18
b) log 9
Step-by-step explanation:
log18 = log2 + log3 + log3 = x + 2y.
log9 = log3 + log3 = 2y.
Choose a number that is a factor of 900. 25, 27, 31, 32, 44, 45
Answer:
25 is a factor of 900
Step-by-step explanation:
900/25= 36
56 1/4% equals what?
Answer:
This is equal to 14025.
Step-by-step explanation:
Alternative is 1.4025×[tex]10^{4}[/tex]
Brainliest? Thanks!
Mary used one big bag of flour. She baked four loaves of bread. Then, she used the remaining flour to make 48 muffins. How much flour was in the bag when Mary began? Plz help!!!! I have 20 minutes left
Answer is 11.
Step-by-step explanation:
Maria used two loaves of bread , One loaf is equal=2 1/4 cups so two becomes 2 ×2 1/4= 9/2
Maria makes the remaing 48 muffins of the flour left so,
One muffin is equal 3 1/4 cups so two becomes 2×3 1/4=13/2
Add both of them
9/2+13/2=11