how many gallons of a 15% sugar solution must be mixed with 5 gallons of a 40% sugar solution to make a 30% sugar solution

Answers

Answer 1
Final answer:

To find the number of gallons of a 15% sugar solution needed to mix with a 40% sugar solution to make a 30% sugar solution, set up an equation.

Explanation:

In order to solve this problem, we can set up an equation based on the given information.

Let's say we need to mix 'x' gallons of the 15% sugar solution with the 5 gallons of the 40% sugar solution to get a 30% sugar solution.

The equation would be: 0.15x + 0.40(5) = 0.30(x + 5).

Solving this equation will give us the value of 'x', which represents the gallons of the 15% sugar solution needed.

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Related Questions


Estimate how many minutes Jessica must practice basketball free throws if she has to shoot a total of 50 successful free throws, and he
average is 3 successful free throws a minute.
A.3
B.17
C.47
D.53
E.150

Answers

B.17 is the answer

Explanation:
50 divided by 3 = 16.6666667 rounded is 17

Answer:

17

Step-by-step explanation:

average per minute is 3, and you need 50, so 3x?=50

to know "?" we change how the question is, so it ends 50/3=?

50/3= 16.6666666667 and the closest is 17

1 1/3 x 6/7 (the 1 in the front is a whole)

Answers

Look at the attached picture

Hope it will be helpful to you

Answer:

well it would be 9 over 14 hope this helps

Step-by-step explanation:

Pip and Sara win some money and share it in the ratio 7:3. Pip gets £36 more than Sara. How much did they get altogether?

Answers

Answer:

I think its 90 but im not sure.

Step-by-step explanation:

Final answer:

To find the total amount won by Pip and Sara, a ratio problem was solved by establishing an equation from the given ratio 7:3 and the fact that Pip gets £36 more than Sara, resulting in a total amount of £90.

Explanation:

The question involves solving a problem based on a ratio and determining the total amount of money shared by Pip and Sara. The ratio in which Pip and Sara share the money is 7:3, and since Pip gets £36 more than Sara, we can set up equations to find the individual and total amounts.

Let's denote Sara's share as S, hence Pip's share will be S + £36.

According to the ratio given, Pip's share to Sara's share is 7 to 3, so we can write the equation:

7S = 3(S + 36)

7S = 3S + 108

4S = 108

S = 27

So Pip's share is £27 + £36 = £63.

Adding both shares, the total amount is £63 + £27 = £90.

Therefore, Pip and Sara got £90 altogether.

PLZZZ HELP AND HURRY MARK BRAINLIST IF CORRECT
What is due to acids formed when atmospheric and volcanic gases mix with water

A chemical weathering
B mechanical weathering
C root- pry
D pedalfer

Plzz and thank youu

Answers

Answer:

Answer is D

Step-by-step explanation:

Due to the pedalfer by the formation of the acid at the time when atmospheric and volcanic gases mix with water.

What is a pedalfer?

Pedalfer should be comprise of the  aluminum and iron oxides. It should be considered as the subdivision of the order of zonal soil that contains the wide range of soils where sesquioxides increase with respect to the silica at the time of forming the soil. Also it should be arise when the area is humid.

Therefore, we can conclude that the option d is correct.

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Leeza’s aquarium holds 55 gallons of water. She is filling the tank and has already put in 22 gallons. Write and solve an inequality to find out how many more gallons she might put in the tank.

Answers

Step-by-step explanation:

the answer is 55 is less than or equal to 22

Solve for the volume of the cylinder.
(Use picture below)

Answers

The volume is 3.14*5.4^2*16 = 1464.998
this is rounded to the nearest tenth

Find the value of x ​

Answers

I think it is x equals 10
B. X= √55

To solve this, you do the Pythagorean theorem.

a^2+b^2=c^2

Since the entire leg equals to 6, you split it in half to find the short length of the right triangle. Which would equal to 3.

3^2+b^2=8^2

9+b*2=64

Subtract 9 from both sides

b^2=55

So x would equal to √55

After decoding the clues on the map, they found out that they needed to go to the
Island of Mysteries which was 120 miles away. To get there, they could either
take a plane for $600 or a boat for $254. How much money can they save if they
took a boat to the island?​

Answers

Answer:

$346.00

Step-by-step explanation:

We know that the price to take a plane to the Island of Mysteries is $600 and the price to take a boat is $254.

To find how much money they will save if they were to take a boat, you would subtract the cost of the boat ride from the plane ride to find the difference.

$600 - $254 = $346.00

Simplify the expression:Two-thirds divided by (negative 4) minus (one-sixth minus StartFraction 8 over 6 EndFraction)

1

StartFraction 29 over 24 EndFraction

StartFraction negative 24 over 17 EndFraction

StartFraction 23 over 24 EndFraction

Answers

we have been given an expression [tex]\frac{\frac{2}{3}}{-4}-\left(\frac{1}{6}-\frac{8}{6}\right)[/tex]. We are asked to simplify our given expression.

Using quotient rule [tex]\frac{\frac{a}{b}}{c}=\frac{a}{bc}[/tex], we will get:

[tex]\frac{2}{3\cdot -4}-\left(\frac{1}{6}-\frac{8}{6}\right)[/tex]

[tex]\frac{2}{-12}-\left(\frac{1}{6}-\frac{8}{6}\right)[/tex]

Now, we will combine like terms:

[tex]\frac{2}{-12}-\left(\frac{1-8}{6}\right)[/tex]

[tex]\frac{2}{-12}-\left(\frac{-7}{6}\right)[/tex]

[tex]-\frac{2}{12}+\frac{7}{6}[/tex]

[tex]-\frac{1}{6}+\frac{7}{6}[/tex]

Let us combine like terms:

[tex]\frac{-1+7}{6}[/tex]

[tex]\frac{6}{6}=1[/tex]

Therefore, our expression simplifies to 1.

Answer:

1

Step-by-step explanation:

Brainliest please

1) During skating practice, Sasha landed 7 out of 12 jumps. What is the experimental
probability that she will land her next jump?​

Answers

Answer:

14 maybe

Step-by-step explanation:

How do you calculate probability?

Answers

Step-by-step explanation:

write it as a fraction.

Example:

What is the probability of drawing a diamond from a deck of cards?

The number on the bottom of the fraction is the total number of objects/possibilities.There are 4 suits in a deck of cards (spades, clubs, hearts, diamonds) so that is the number that goes on the bottom of the fraction (the denominator)

?/4

diamonds is only 1 of the four suits so the number on the top of the fraction (the numerator) will be 1

1/4

you can express this in many ways such as a fraction or percentage

I HOPE THIS WAS HELPFUL :-)

Final answer:

To calculate the probability of an event A when all outcomes in the sample space are equally likely, count the number of outcomes for event A and divide by the total number of outcomes in the sample space.

Explanation:

To calculate the probability of an event A when all outcomes in the sample space are equally likely, count the number of outcomes for event A and divide by the total number of outcomes in the sample space. This is known as the theoretical probability of A.

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Becky and Cathy are sisters. Becky is four years older than Cathy. The following shows how Becky's age, y, changes as Cathy's age, x, changes.

Answers

Answer:

the answer would be B.

Step-by-step explanation:

Study island I did this one

solve for a 7a - 2b =5a + b​

Answers

Answer:

a = 3/2 b​

Step-by-step explanation:

7a - 2b =5a + b​

Subtract 5a from each side

7a-5a - 2b =5a-5a + b

2a -2b = b

Add 2b to each side

2a-2b+2b = b+2b

2a = 3b

Divide each side by 2

2a/2 = 3b/2

a = 3/2 b​

Solve the system of equations :
2x -5y=-22
X+7y=27

Answers

The answer/ solution for the system of equations is: x=-1 y=4

Answer:

x=−1 y=4

Step-by-step explanation:

Let's solve your system by substitution.

2x−5y=−22; x+7y=27

Rewrite equations:

x+7y=27;2x−5y=−22

Step: Solve x+7y=27for x:

x+7y=27

x+7y+−7y=27+−7y(Add -7y to both sides)

x=−7y+27

Step: Substitute−7y+27 for x in 2x−5y=−22:

2x−5y=−22

2(−7y+27)−5y=−22

−19y+54=−22(Simplify both sides of the equation)

−19y+54+−54=−22+−54(Add -54 to both sides)

−19y=−76

−19y

−19

=

−76

−19

(Divide both sides by -19)

y=4

Step: Substitute 4 for y in x=−7y+27:

x=−7y+27

x=(−7)(4)+27

x=−1(Simplify both sides of the equation)

GIVING BRAINLIEST BRAINLIEST!!!! Easy mathhh DO NUMBER 4

Answers

Answer:

I got 1/2

Step-by-step explanation:

The height of a tree increases by 60% each year. When planted the tree was 40cm tall. How tall will the tree be in 5 years time.

Answers

Answer:

≈419.4 cm.

Step-by-step explanation:

To solve this problem, you will need to set up an exponential graph as shown:

y= 40 ·[tex](1.6)^{x}[/tex]

The 40 represents the initial height of the tree, while (1.6) represents the annual growth rate. 'x' represents the amount of years elapsed.

We can simply solve this by substituting 5 for x:

y= 40· [tex](1.6)^{5}[/tex]

y ≈ 419.4 cm.

PLEASE ANSWER MY QUESTION IT IS URGENT I AM BEING TIMED

Write each fraction as a percentage. Include a fraction in the hundredths place if needed.
Example: 12 3/4%
First question: 1/2
second question: 1/4

Answers

Answer: The 1st one is 0.5%

The 2nd one is 0.25%

Step-by-step explanation:

A pizza has a circumference of 37.68 inches. What is the area of the pizza?

Answers

Answer:

118.31

Step-by-step explanation:

because the circumference is 3.14 and you have to do 37. 68 x 3.14 and you get your answer

Jana predicts that the population, y, will grow according to y = 12 log(x + 1) + 10, where x is the time in minutes. How much greater does Kirk’s model predict the population will be after 60 minutes than Jana’s model?

Answers

Answer:

Greater by about 50 bacteria

Step-by-step explanation:

Greater by about 50 bacteria

Answer:

Greater by about 50 bacteria

Step-by-step explanation:

Joan receives a 9% commission on appliances she sells. Last month she sold $18,500 worth of appliances. How much did Joan earn in commissions last month?

Answers

Answer:

She earned $1,665.

Step-by-step explanation:

x / 18500 = 9/100

What did you do to transform 18500 into 100? Divide by 185

Since you divided the denominator 185, you must do the same to the numerator.

x / 185 = 9 OR 9 * 185 = x

x = 1665

8x-72=2x-36
I need the answer​

Answers

Answer: [tex]x=6[/tex]

Subtract 2x from both sides

[tex]8x-72-2x=2x-36-2x\\6x-72=-36[/tex]

Add 72 to both sides

[tex]6x-72+72=-36+72\\6x=36[/tex]

Divide both sides by 6

[tex]6x/6=36/6\\x=6[/tex]

Answer:

x=6

Step-by-step explanation:

first thing first you always need to get x alone and since you have an X on both side we need to move one of them to the same side as the other one.

8x-72=2x-36

add 72 on both sides ( the opposite of subtracting is adding)

8x=2x-36+72  

8x=2x+36

then we subtract 2x on both sides to get X alone

8x-2x=36

6x=36

then we divide 36 by 6 to get our answer for x

X= 6

and that's your answer, hope this helped

MATH HELP PLEASE !50 POINTS!

Answers

Answer: 108

Step-by-step explanation: You take the x and the 2/3x and combine them to get 1 2/3x, so 1 2/3x=180. 180 divided by 5 is 36, and 36 times three is 108

Answer:

108

Step-by-step explanation:

Angles on a line add up to 180 degrees.

x + 2/3x = 180

5/3x = 180

x = 180 × 3/5

x = 108


Devaughn's age is three times Sydney's age. The sum of their ages is 76. What is Sydney's age?

Answers

Answer:

22

Step-by-step explanation:

Basically you can think of Devaughn as 3x and Sydney as 1x, which gives you 4x=88. 88/4= 22, so Sydney is 22

PLEASE HELP!!!!!!! PLEASE!!
Find the indicated limit, if it exists. (2 points)
limit of f of x as x approaches negative 10 where f of x equals negative 4 minus x when x is less than negative 10, 6 when x equals negative 10, and x plus 16 when x is greater than negative 10

6
0
16
The limit does not exist.

Answers

Answer:

limit does not exist

Step-by-step explanation:

From the left: f(x) = x + 10 (for x < 8), as x --> 8, f(x) --> 18

From the right: f(x) = 10 - x (for x >= 8), as x --> 8, f(x) --> 2

Since the limits on either side do not converge to the same point, the limit does not exist

What is the value of x

Answers

Answer:

x= ?

Step-by-step explanation:

Answer:

depends on the equation u didnt give us

Step-by-step explanation:

Which statements about this system of equations are true? Check all that apply
.
2x - 7y=-13
- 2x + 11y = 1
The x-variable will be eliminated when adding the system of equations.
The y-variable will be eliminated when adding the system of equations.
The sum of the system of equations is 4y = -12.
Ox=17
y=-3
There are infinitely many solutions to the system of equations.

Answers

Answer:

the x-variable will be eliminated when the adding the system of equations. The sum of the system of equations is 4y = -12.

x= - 17

y= - 3

Step-by-step explanation:

Solve the system. -3x + 4y = -22 2x + 7y = 5 A) (6, -1) B) (-1, 6) C) (-6, 1) D) (-1, -6)

Answers

Answer:

A

Step-by-step explanation:

We have the system of equations:

-3x + 4y = -22

2x + 7y = 5

Let's solve this using elimination, so multiply the first equation by 2 and the second equation by 3:

2 * (-3x + 4y = -22)  ⇒  -6x + 8y = -44

3 * (2x + 7y = 5)  ⇒  6x + 21y = 15

Our equations are now:

-6x + 8y = -44

6x + 21y = 15

Add these two together to eliminate the x term:

    -6x + 8y = -44

+    6x + 21y = 15

______________

     0x + 29y = -29

y = -29/29 = -1

Plug this back into one of the equations to find x:

-3x + 4y = -22

-3x + 4 * (-1) = -22

-3x - 4 = -22

-3x = -18

x = -18/(-3) = 6

The answer is (6, -1) or A.

Answer:

A. (6,-1)

Step-by-step explanation:

-3x + 4y = -22

2x + 7y = 5

x = (5 - 7y)/2

-3[(5 - 7y)/2] + 4y = -22

-15/2 + 21y/2 + 4y = -22

29y/2 = -29/2

y = -1

x = (5 - 7(-1))/2

x = 12/2

x = 6

Caren has 6 oranges to share. If she
gives one third of an orange to each
person, how many people can share
Caren's oranges?

Answers

Answer:

6/ 1/3

6 x 3/1

6 x 3 = 18

Hope this helps Your answer is 18

Step-by-step explanation:

Answer:

she can share with 18 people

a length of clothesline is 3 1/3 ft long. how would you report its length in inches?

Answers

Answer:

40 inches

Step-by-step explanation:

Simply multiply the length value by 12

1 foot = 12 inches

40 inches is your answer....

The names of nine boys and six girls from your class are put into a hat. What is the probability that the first two names chosen will both be girls?

Answers

Final answer:

The probability that the first two names chosen will both be girls from a hat that contains the names of nine boys and six girls is 1/7.

Explanation:

The question involves determining the probability of selecting two girls' names from a hat that contains the names of nine boys and six girls. We are dealing with a situation of probability without replacement, which means that once a name is drawn, it is not put back into the hat.

To calculate the probability of the first name drawn being a girl, we have 6 girls out of the total 15 students, which gives us a probability of 6/15. If a girl's name is drawn first, there will then be 5 girls' names left and 14 names total. So, the probability of the second name drawn being a girl as well is then 5/14.

To find the overall probability of both events happening, we multiply the two probabilities together: (6/15)
x (5/14) = 30/210 = 1/7. Therefore, the probability that the first two names chosen will both be girls is 1/7.

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