Answer:
ratio of pure lemon juice to water in the homestyle lemon drink is 5 : 19.
Step-by-step explanation:
In order to solve the final ratio of lemon juice to water, let us start by determining the initial ratio of pure lemon juice to water in the first mix. This is done as follows:
Total volume of mixture = 60 liters
initial volume of water = 60 liters
initial volume of lemon juice = 0 liters
1) She removed 15 liters of the water and replaced it with 15 liters of pure lemon juice.
Volume of water = 60 - 15 = 45 liters
Volume of lemon juice = 15 liters
[tex]\therefore \frac{15}{60}\ = \frac{1}{4}\ of\ the\ first\ mix\ is\ lemon\ juice\\\frac{45}{60}\ = \frac{3}{4}\ of\ the\ first\ mix\ is\ pure\ water[/tex]
2) She removed 10 liters of the new mixture
Let us convert this amount removed into ratio:
[tex]lemon\ juice\ = \frac{1}{4}\ \times 10 = \frac{10}{4} = \frac{5}{2}\ liters.\\ \therefore the\ owner\ removes\ \frac{5}{2}\ liters\ of\ pure\ lemon\ juice\\pure\ water\ = \frac{3}{4}\ \times 10 = \frac{30}{4} = \frac{15}{2}\ liters\\ \therefore\ the\ owner\ removes\ \frac{15}{2}\ liters\ of\ water\ from\ the\ first\ mix.[/tex]
New volumes of water and lemon juice after removing the 10 liters of mixture is calculated as follows:
[tex]lemon\ juice\ = 15 - \frac{5}{2} = \frac{30-5}{2} = \frac{25}{2}\ liters\ of\ lemon\ juice\\pure\ water\ = 45 - \frac{15}{2} = \frac{90-15}{2} = \frac{75}{2}\ liters\ of\ pure\ water[/tex]
3) and replaced it with 10 liters of water.
[tex]New\ volume\ of\ water\ = 10 + \frac{75}{2} = \frac{20+ 75}{2} = \frac{95}{2}\ liters[/tex]
The final ratio of lemon juice to water:
[tex]\frac{25}{2} : \frac{95}{2}\\= 25 : 95\\= 5 : 19[/tex]
Therefore, the final ratio of pure lemon juice to water in the homestyle lemon drink is 5 : 19.
Complete the factorization of 3x2 – 10x + 8.
3x^2 – 10x + 8 = (x – _ )( _ x – 4)
Answer:
picture of answer on edge 2023.
Step-by-step explanation:
why is number multiplied by it self called a square of a number
Answer:
Because it is 2 of the same number.
Step-by-step explanation:
Answer:
I believe this is because a square is symmetrical and even so are numbers we multiply are the same number. And because there are two of the same number.
Step-by-step explanation:
I hope this helps. Have a good day! :)
Sarah invested $3,800 in an account paying an interest rate of 3.6% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 15 years?
Answer:
6500
Step-by-step explanation:
A=P(1+nr)nt
Compound interest formula
P=3800
r=0.036
t=15
n=365
P=3800r=0.036t=15n=365
Given values
A=3800 (1+0.036 365)
365(15)
A=3800(1+365 0.036)
365(15)
Plug in values
A=3800(1.0000986301) 5475
A=3800(1.0000986301)
5475
Simplify
A=6520.65243954
A=6520.65243954
Use calculator
A≈6500
A≈6500
Round to nearest hundred
The amount in account after 15 years will be $6500
What is compound interest ?Compound interest is the interest you earn on interest.
Given that, Sarah invested $3,800 in an account paying an interest rate of 3.6% compounded daily.
Compound interest formula;
A = P(1+r/n)^nt
We have,
P = 3800
r = 0.036
t = 15
n = 365
P = 3800 r = 0.036 t = 15 n = 365
Putting the values and on simplification, we get,
A = 3800(1+0.036 365)365(15)
A = 3800(1+365 0.036)365(15)
A = 3800(1.0000986301)5475
A = 3800(1.0000986301)5475
A = 6520.65243954
A = 6520.65243954
A ≈ 6500
A ≈ 6500
Hence, The amount in account after 15 years will be $6500
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Two secant segments are drawn to a circle from a point outside the circle. The external segment of the first secant segment is 8 centimeters and its internal segment is 6 centimeters. If the entire length of the second secant segment is 28 centimeters, what is the length of its external segment?
Given:
Two secant segments are drawn to a circle from a point outside the circle.
External segment of the first secant segment = 8 centimeters
Internal segment of the first secant = 6 centimeters.
Entire length of the second secant segment = 28 centimeters.
To find:
The length of its external segment.
Solution:
Let x be the length of its external segment.
Entire length of the first secant segment = 8+6 = 14 centimeters.
If two secant segments are drawn to a circle from a point outside the circle, then product of entire length of first secant and external length of first secant is equal to product of entire length of second secant and external length of second secant.
[tex]14\times 8=28\times x[/tex]
[tex]112=28x[/tex]
Divide both sides by 28.
[tex]\dfrac{112}{28}=x[/tex]
[tex]4=x[/tex]
Therefore, the length of external segment of second secant is 4 centimeters.
Please help me! :( I don't understand
Answer:7b^3+9b^2+8b
Step-by-step explanation:
Jaylon makes $57,000 and is getting annual raises of $2,500. Anita makes $64,000 and is getting annual raises of $1,500. How many years, y, will it take for Jaylon and Anita to make the same amount of money?
A. 121
B. 7
C. 1.75
D. 30.25
What are the two things that do NOT prove that triangles are congruent?
Answer:
If the side which lies on one ray of the angle is longer than the other side, and the other side is greater than the minimum distance needed to create a triangle, the two triangles will not necessarily be congruent. to "swing" to either side of point G, creating two non-congruent triangles using SSA.
Step-by-step explanation:
Hope this helped, Have an amazing day!!
Evaluate the arise tic
series described:
12. 0,= 300, n = 25 (please help)
Answer these questions
Answer:
1. -1
2. 25°
3. 26 1/4
Step-by-step explanation:
1. 14-8 is 6, -2 - 4 = -6, 6 ÷ -6 is -1
2. 75 + 80 = 155, 180 - 155 = 25°
3. cross multiply 4/5 = 21/x (4x= 105) = 26 1/4 or 105/4
I hope this helped, please mark Brainliest, thank you!
Answer:
What she said
Step-by-step explanation:
Solve 58 - 10x<20+9x
Answer:
C
Step-by-step explanation:
58-10x≤20+9x
58≤20+19x
38≤19x
2≤x or x≥2
please help!!
Find the measure of angle Q and length of QR.
The perimeter of QRS is 344 cm. m
QR= _______
Answer:
[tex]m\angle {Q}[/tex] = 56°
QR = 167
y = 136
Step-by-step explanation:
The ratio of the number of songs Brody bought to the number of songs Jayliah bought is 2:3. The ratio of the number of songs Jayilah has bought to the number of songs Sadie bought is 4:5. If Sadie has bought 30 songs how many songs has Brody bought.
Answer:
Brody purchased 16 songs.
Step-by-step explanation:
Ratio of the number of songs purchased by Brody(B) and Jayliah(J) = 2 : 3
[tex]\frac{B}{J}=\frac{2}{3}[/tex] ------(1)
Similarly ratio of the songs purchased by Jayliah(J) and Sadie(S) = 4 : 5
[tex]\frac{J}{S}=\frac{4}{5}[/tex] -------(2)
If Sadie bought the songs (S) = 30
From equation (2),
[tex]\frac{J}{30}=\frac{4}{5}[/tex]
J = [tex]\frac{4\times 30}{5}[/tex]
J = 24
By substituting the value J = 24 in equation (1),
[tex]\frac{B}{24}= \frac{2}{3}[/tex]
B = [tex]\frac{2\times 24}{3}[/tex]
B = 16
Therefore, number of songs purchased by Brody = 16.
A radio station sells buttons and bumper stickers at a local fair the buttons cost $2.95 each and the bumper stickers cost three dollars and 50 Cent each new radio station sells the most for $162 worth of buttons and bumper stickers if it’s represents the number of buttons and white represents the number of button bumper stickers which equality represents the scenario
Answer:more information plssss
Step-by-step explanation:
PLS HELP!!! TT
Consider 3 trials, each having the same probability of success. Let X denote the
total number of successes in these trials. If E(X) = 1.8, the smallest possible value of Pr{X = 3}?
Construct a probability scenario that results in Pr{X = 3} having the stated value.
(Hint: For part (b), you might start by letting U be a uniform random variable on (0,1) and then defining the trials in terms of the value of U.)
Solve using hint
Answer:
The smallest possible value of Pr{X = 3} is U = 0
Step-by-step explanation:
The number of trial is n = 3
The mean is E(X) = 1.8
Gnerally given that every probability value lies between 0 and 1 ,
let U be the smallest possible value of Pr{X = 3}
it then mean that U= 0 because in the range which probability values can take , the smallest value is zero
So
The smallest possible value of Pr{X = 3} is U = 0
HELP WILL MARK AS BRAINLIEST! 11 POINTS
Answer:
u=50/11
Step-by-step explanation:
cross multiply and divide on both sides
Answer:
u = [tex]\frac{50}{11}[/tex]
Step-by-step explanation:
Given
[tex]\frac{u}{10}[/tex] = [tex]\frac{5}{11}[/tex] ( cross- multiply )
11u = 50 ( divide both sides by 11 )
u = [tex]\frac{50}{11}[/tex]
What’s the y-intercept of the line graphed on the grid?
Answer:
y-intercept is 4.5
Step-by-step explanation:That is when the line intersects the y-axis
Answer:
y intercept = 5.5
Step-by-step explanation:
The y-axis is the vertical (up and down) line in the center of the graph. When the line passes over it, wherever it passes, will be your y intercept.
In this situation it passes in the middle of 5 and 6 so it would be 5.5.
Hope this helps (:
Which scenario is an example of the transfer of thermal energy by radiation?
A. Leftovers are warmed in a microwave oven.
O B. A person's body temperature falls as the person swims in the
ocean.
C. Warm air near a heater spreads out to the rest of the room.
D. A piece of chocolate melts in a person's hand.
Answer:
A
Step-by-step explanation:
The scenario that is an example of the transfer of thermal energy by radiation is warm air near a heater spreads out to the rest of the room. That is option C.
What is radiation?Radiation is the transfer of heat energy from an environment to another through movement of air in the space between them. There is no medium that is required for this transfer.
From the options, the warm air from the heater spreads out to the rest of the room through the movement of air.
Therefore, the scenario that is an example of the transfer of thermal energy by radiation is warm air near a heater spreads out to the rest of the room.
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help me please!!!!!!!!!!!!!!!!!
Step-by-step explanation:
please ignore the 8.7
and on the graph please don't connect the line with the values with 30000 feet and the graph on the time place is scaled with 1/4 hours so you know one line represents quarter hour . I hope you understood best of luck
please help! will give brainliest if correct :)!
Answer:
its c y
Step-by-step explanation:
I'm doing simplifying expressions with exponents
Was wondering what it meant byexpress as a power of 2?
Answer:
Expressing a number in a power of 2 means that you have to figure out how many times you should multiply 2 by itself so the product will be that number.
The number is expressed as 2^n
For example:
Express 16 as a power of 2:
To get 16, you have to multiply 2 by 4 times.
2 × 2 × 2 × 2 = 16
16 = 2^4
Then the answer is 2^4
Given that BD is the median of ▵ABC, and that ▵ABC is isosceles,
congruence postulate SSS can be used to prove which of the following?
A. ∠BAD = 45°
B. ▵BAD ≅ ▵BCD
C. ▵ABC is an equilateral triangle
D. ▵ABC ≅ ▵BCD
Answer:
B
Step-by-step explanation:
AP3X
pog
What is the slope intercept for the line below?
-4/5 - (-2/5) + 4/7 evaluate the expression help plz
Answer:
6/35
Step-by-step explanation:
-4/5 - ( - 2/5 ) + 4/7
-4/5 - ( - 2/5 ) + 4/7
-4/5 - [tex]\frac{-2}{5}[/tex]+ 4/7
[tex]\frac{-2}{5}[/tex] + 4/7
6/35
True or False: The following pair of ratios forms a proportion.
1/3 and 18/8
Select one:
O True
O False
Answer:
False because for two fractions to be proportional they must be equivalent
Find its notation:
(x +6, y + 3)
Answer: i know the answer but i cant write it all on here
Step-by-step explanation:
Find the missing number so that the equation has no solutions.
5x+19=[BLANK] x+9
Answer:
Easy, 3x + 9
Step-by-step explanation:
It can be anything other than 5.
Evaluate the expression
Answer:
1
Step-by-step explanation:
2+4=6
3*2=6
6/6=1
Answerrr pls I am giving out brainliest :)
Answer:
The answer would be 9
how can you find 10% of any number?
Answer:
Use Desmos!Step-by-step explanation:
Just type 10% into the calculator and it will automatically say
" 10% of " then you can type in any number you want to be
ten percent of!
Hope this helps! <3
Answer: you would do 10 over 100 and equal it to the number u want to find over the number of full amount of what u want.
Step-by-step explanation:
10/100 = x/25 and than you’d cross multiply . And than set x to one side by itself to find what x equals and that should be ur answer
5y - 13 = 12
What does y equal?
Answer:
5
Step-by-step explanation:
5y - 13 = 12
5y = 12+ 13
5y = 25
5y/5 = 25/5
y = 5
Answer:
5
Step-by-step explanation:
5y-13=12
12+13=25
5y=25
25/5=5
