Gale makes two gallons of a punch solution that contains 25% orange juice. How many gallons of orange juice should gayle add to make the solution 40% orange juice

Answers

Answer 1

Answer:

  0.5 gallons

Step-by-step explanation:

Let x represent the amount of orange juice (in gallons) Gayle must add to the mix. Then the total amount of orange in the mix is ...

  0.25(2) +x = 0.40(2+x)

  0.50 +x = 0.80 +0.40x . . . . eliminate parentheses

  0.60x = 0.30 . . . . . . . . . . . .  subtract 0.50+0.40x

  x = 0.5 . . . . . . . . . . . . . . . . . divide by 0.60

Gayle should add 0.5 gallons of orange juice to make a 40% solution.


Related Questions

Raj builds a side table in the shape of a cube. Each edge of the cube measures 30inches. Raj wants to cover the top and four sides of the table with ceramic tiles. Each tile has an edge length of 6inches. How many tiles will we need?

Answers

Answer:

deportation

Step-by-step explanation:

deport raj

Find the surface area of the pyramid. The side lengths of the base are equal.
17 cm
12 cm
These are
square centimeters.​

Answers

Answer:

The answer is 204 square cm.

Step-by-step explanation:

You are asking for the surface area, and while calculating the surface area you will multiply the quantities.

Surface Areas: 17 cm multiply 12 cm

17 X 12 = 204

The answer is 204 sq. cm

Answer:

204

Step-by-step explanation:

What is the value of x in the equation x - y = 30, when y = 15?

Answers

Step-by-step explanation:

x-y=30

then y should be 15

x-15=30

x=30+15

x=45

The circumference of a circle is 20 cm. What is the approximate radius of the circle?

Answers

Answer:

[tex]3.18cm[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

QUICK!!
Convert r = 6cscθ to rectangular form.

Answers

Answer:

x2+y2−6y=0

Step-by-step explanation:

what’s the answer to this !!

Answers

The answer is letter A

What is 4+5 devices by two

Answers

The equation can be written as:

4 + 5 / 2

Remember to follow PEMDAS.

4 + 5 / 2

4 + 2.5

6.5

Best of Luck!

Answer:

If you mean whats 4+5/2 the answer is 6.5 because PEMDAS says to Divide first . So 4+(5/2). 5/2 is 2.5. so 4+(2.5) which equals 6.5

A cylinder is 20 inches long and has a diameter of 10 inches. What is the approximate volume of the cylinder?

Answers

Answer:

V=π(d/2)^2·h

=π·(10/2)^2 · 20

≈1570.79633in³

this is the correct answer!!!

The approximate volume of the cylinder is 1570.796 inches³.

What is Volume?

Volume of a three dimensional shape is the space occupied by the shape.

A cylinder is a geometrical shape has two circular bases which are parallel and they are connected with a curved surface.

Given that,

Height of the cylinder = 20 inches

Diameter of the base = 10 inches

Radius = Diameter / 2 = 10/2 = 5 inches

Volume of the cylinder = π r² h, where r is the radius and h is the height.

Volume = π (5)² (20)

             = 500π

             = 1570.796 inches³

Hence the volume is approximately 1570.796 inches³.

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a mini dvd has a radius of 4 centimeters. there is a hole in the middle of the mini dvd with a radius of 1 centimeter. what is the area of one side of the mini dvd

Answers

Answer:

Area of one side of mini DVD = 15π or 47.12 cm²

Step-by-step explanation:

The radius of the mini DVD is;r = 4cm.

Area of a circle = πr²

Thus, Area of mini DVD = π × 4² = 16π

Now,we are told the mini DVD has a hole with a radius of 1 cm.

Area of hole = π × 1² = π

To find the area of one side of the mini DVD, we have to subtract the area of the hole from the area of the DVD.

Thus;

Area of one side of mini DVD = 16π - π

= 15π = 47.12 cm²

Jessica has 4/8 of a bottle of Robitussin syrup on hand. The pharmacist instructs Jessica to reduce the syrup by 1/2 so he can prepare a patient’s prescription. How much Robitussin does the pharmacist need to prepare the prescription?

Answers

Answer:

2/4 i think but im not sure

In the equation -2 - 6b = 32, the negative coefficient is ___________________.

Answers

Answer:-2

Step-by-step explanation:

It’s not -6b because that is showing that it’s getting subtracted

Hope I helped

need math help please!!

Answers

Answer:

  3

Step-by-step explanation:

That BD is a bisector means the angles on either side of it are congruent.

  9x = 8x +3

  x = 3 . . . . . . . subtract 8x

The value of x is 3.

Including Jose, there are eight people in his family.
If order matters, how many ways can he arrange his family members into a row of five seats if Jose must sit in the first seat?
O 35
O 840
O 1,680
0 2,620

Answers

Answer:

840

Step-by-step explanation:

Since the order matters, we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

The first seat is Jose's.

The remaining four are organized among the other 7 members. So

[tex]P_{(7,4)} = \frac{7!}{(7-4)!} = 840[/tex]

So the correct answer is:

840

Answer:

The answer is B on Edge 2020

Step-by-step explanation:

I did the Exam

Please answer this correctly without making mistakes I want helping hand people to answer this

Answers

Answer:

k = 6

Step-by-step explanation:

Since the figures are similar, we can use ratios to solve

4         28

----- = -------

k         42

Using cross products

4 * 42 = 28k

Divide each side by 28

4*42/28 = 28k/28

6 = k

Answer: k = 6mm

Step-by-step explanation:

The shapes are similar, which means that each side on the triangle is proportionally similar to its corresponding side on the other triangle.

We can use proportions to solve for k:

[tex]\frac{4}{28} = \frac{k}{42}[/tex]

4 and k are proportionally similar and 28 and 42 are proportionally similar.

You can then cross-multiply to get this:

28k = 168

k = 6

The missing side is 6 mm long.

( NEED HELP ASAP)

If parallelogram ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A' lie?

[Hint: Place your coordinates in the blank with no parentheses and a space after the comma in the form: x, y]

Parallelogram ABCD is shown.
A is at negative 4, 1.
B is at negative 3, 2.
C is at 0, 2.
D is at negative 1, 1.

Answer:

(Fill in the blank)

Answers

Answer:

  A' is at (-4, 1)

Step-by-step explanation:

Reflection over both axes is equivalent to rotation by 180°. Then rotation by 180° returns the point to its original location. The original location of point A is (-4, 1), so the location of its image is A'(-4, 1).

Which equation has a constant of proportionality equal to 1

Answers

Answer:

Step-by-step explanation:

Is in

Diagram 3 circles Help give u brainly

Answers

Answer:

20%

Step-by-step explanation:

2/10 cm are blue.

Solve for m.

774 = m − 15

Answers

Answer:

[tex]m = 789[/tex]

Step-by-step explanation:

[tex]774 = m - 15 \\ 774 + 15 = m \\ 789 = m[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

So the right answer is 789

look at the attached picture

Hope it will help you

Good luck on your assignment

Can someone help me?


Select the elements in A . A = { x : 1 < x < 50 } ξ = { x : x is a cube number } A 64 B 50 C 1 D 8 E 49 F 27 ?

Answers

Hey!!!!

The right answer is 27.

It is cube of 3.

Hope it will help you...

Good luck on your assignment...

-Pragya```

i pretty sure its 27

my entry test is coming soon i prepard my exams maths english

Answers

Answer:

good luck !!

Step-by-step explanation:

Answer:

Good luck

Step-by-step explanation:

When playing roulette at the Venetian casino in Las Vegas, a gambler is trying to decide whether to bet $5 on the number 27 or to bet $5 that the outcome is any one of these five possibilities: 0, 00, 1, 2, 3. From Example 6, we know that the expected value of the $5 bet for a single number is -26. For the $5 bet that the outcome is 0, 00, 1, 2, or 3, there is a probability of 5>38 of making a net profit of $30 and a 33>38 probability of losing $5.
a. Find the expected value for the ​$5 bet that the outcome is 00, 0, or 1.
b. Which bet is​ better: a $5 bet on the number 25 or a $5 bet hat the outcome is any one of the numbers 00, 0, or 1? Why?

Answers

Answer:

Step-by-step explanation:

Given that:

To bet $5 that the outcome is any one of these five possibilities: 0, 00, 1, 2, 3.

Let Y represent the Amount of net profit

Then, Y= {-5, 30}

The probability distribution of Y is:

Y                        -5                        30

P(Y=y)                [tex]\dfrac{33}{38}[/tex]                        [tex]\dfrac{5}{38}[/tex]

a)  The expected value of X is given by:

[tex]E[Y] =\sum y P(Y=y)= 30*\dfrac{5}{38}-5*\dfrac{33}{38}[/tex]

[tex]=-0.39[/tex]

[tex]= -39 \ cents[/tex]

b)

On a bet of $5 on the number 25 we are expected to loose 24 cents.

While on a $5 bet that the outcome is any one of the numbers 0,00, or 1 we are expected to loose 39 cents.

Hence,  $5 bet on the number 27 is better. Because the expected loss is less in this bet

A circular swimming pool has a radius of 15ft. There is a path all the way around that pool that is three feet wide. What is the circumference of the outer edge of the path around the pool? Use 3.14 for pie

Answers

Answer:

94.2 ft.

Step-by-step explanation:

The equation to find circumference is 2 times pie times radius. We subsitute  pie for 3.14. Now the equation is 2(3.14)r. The radius is 15. When we subsitute 15 for r the answer will be 2(3.14)15. Another way to write it is 2 times 3.14 times 15. The answer would be 94.2

After finishing college, Daniel had interviews with SeaWorld and the Central Park Zoo. The probability of receiving an offer from SeaWorld is 35%. The probability of receiving an offer from the Central Park Zoo is 48%. The probability of Daniel getting an offer from both SeaWorld and the Central Park Zoo is 15%.
Determine the probability of receiving an offer from either SeaWord or Central Park Zoo but not both. ____________


Answers

Answer:

[tex]68\%[/tex]

Step-by-step explanation:

Let A be the event that Daniel receives call from SeaWorld.

Probability of event A, P(A) = [tex]35\%[/tex]

Let B be the event that Daniel receives call from Central Park Zoo.

Probability of event B, P(B) = [tex]48\%[/tex]

Probability that Daniel receives calls from both SeaWorld and Central Park Zoo:

[tex]P(A \cap B) = 15\%[/tex]

We know that formula:

Probability that Daniel receives call from either SeaWorld or Central Park Zoo but not both:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)\\\Rightarrow P(A \cup B) = 35\% + 48\% - 15\%\\\Rightarrow P(A \cup B) = 68\%[/tex]

Hence, required probability is [tex]68\%[/tex].

Answer:

Step-by-step explanation:

Isi makes sandwiches to sell at a football game.
The graph shows her costs and income from making and selling the sandwiches.

Select the three statements that are true, based on the graph.

Answers

Answer: 1)The more sandwiches you sell the more you income goes up. 2)If you sell 24 sandwiches  the cost will be the same as your income. 3) If you sell 0 sandwiches you will get zero income.

Step-by-step explanation:

plz Help your fav. Marshmello i wasn' t,,,,, xx born yesterday.

Answers

Answer:

[tex] \boxed{D. \: x = 5} [/tex]

Step-by-step explanation:

[tex] = > 1 - 2x - 1 = - 10 \\ \\ = > 1 - 1 - 2x = - 10 \\ \\ = > 0 - 2x = - 10 \\ \\ = > \cancel{ - }2x = \cancel{ - }10 \\ \\ = > 2x = 10 \\ \\ = > x = \frac{10}{2} \\ \\ = > x = 5[/tex]

Answer:

the answer is attached to the picture

Use algebraic methods to find as many intersection points of the following curves as possible. Use graphical methods to identify the remaining intersection points.
r = 5 sinθ and r = 5 cosθ

Answers

Answer:

Step-by-step explanation:

r =5sin i

r=5 cos i

divide

tan i=1=tan (π/4),tan(π+π/4)

or tan i=tan (π/4),tan(5π/4)

or  tan i=tan (2n π+π/4),tan (2nπ+5π/4)

or tan i=tan ((8n+1)π/4),tan((8n+5)π/4)

i=(8n+1)π/4,(8n+5)π/4

where n is an integer.

so we get infinite points of intersection.

The diameter of this beach ball is 12 inches.

A beach ball.

Apply the formula for the volume of a sphere to determine how much air it can hold. Use the calculator to multiply by π. Round to the nearest hundredth.

Sphere V = 4
3
πr3

How much air can the beach ball hold?

Answers

Answer:

288π or 904.78

Step-by-step explanation:

We know that the diameter of this beach ball is 12 inches and we want to determine how much air it can hold using the formula for the volume of a sphere which is [tex]\frac{4}{3}[/tex] × π × r³ where 'r' is the radius. In the question we are given the diameter not the radius but we can half the diameter to find the radius so 12 ÷ 2 = 6. The radius of the beach ball is 6 inches so let's work out how much air it can hold.

Volume = [tex]\frac{4}{3}[/tex] × π × r³

→ Let's substitute in the values

Volume = [tex]\frac{4}{3}[/tex] × π × 6³

→ Simplify

Volume = [tex]\frac{4}{3}[/tex] × π × 216

→ Simplify further

Volume = 288π or 904.78

The amount of air can the sphere shape beach ball hold is 208π or 904.78 inches.

What is sphere?

The "set of all  points  in 3 dimensional space is lying the same distance from the given points or center" is called sphere.

According to the question,

Diameter of sphere shape beach ball is 12inches

Radius of sphere shape beach ball is 12/2 = 6inches

Volume of sphere = [tex]\frac{4}{3}[/tex] × π × r³  

= [tex]\frac{4}{3}[/tex] × [tex]\frac{22}{7}[/tex] × (6)³

= 904.78inches

Hence, the amount of air can the sphere shape beach ball hold is 208π or 904.78 inches.

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How much does the granite top on the island weigh, in pounds?
1 lb= 454 grams

Answers

What is the question

An insurance policy charges a regular risk premium, , at Years 0,1,2,3,…,9 from today. The policy pays a claim of 2 (i.e. × ) in 15 Years from today. Calculate the value of (to 2 decimal places), assuming an interest rate of 2% per annum.

Answers

Answer:

x = 12.29

Step-by-step explanation:

present value of the claim = x² / (1 + 2%)¹⁵ = 0.743x²

present value of the 10 premiums:

x + x/1.02 + x/1.02² + x/1.02³ + x/1.02⁴ + x/1.02⁵ + x/1.02⁶ + x/1.02⁷ + x/1.02⁸ + x/1.02⁹ = x + 0.9504x + 0.9612x + 0.9423x + 0.9238x + 0.9057x + 0.888x + 0.8706x + 0.8535x + 0.8368x = 9.1323x

0.743x² = 9.1323x

x² / x = 9.1323 / 0.743

x = 12.29

Answer

x = 12.29

Step-by-step explanation:

Given that the policy claims x² in 15 years, at 2% = 0.02, the present value of the claim is given as:

x²/(1 + 0.02)^15

= x²(1/1.02)^15

= 0.743x²

The present value of the 10 premiums:

x + x/1.02 + x/1.02² + x/1.02^3 + x/1.02^4 + x/1.02^5 + x/1.02^6 + x/1.02^7 + x/1.02^8 + x/1.02^9

= x + 0.9504x + 0.9612x + 0.9423x + 0.9238x + 0.9057x + 0.888x + 0.8706x + 0.8535x + 0.8368x

= 9.1323x

Now,

0.743x² = 9.1323x

x²/x = 9.1323/0.743

x = 12.29

This is what we are looking for.

13)
A piece of pipe that is 8 feet long is cut into
ft pieces. How many pieces can be cut from the pipe?

Answers

Answer:

22

Step-by-step explanation:

did the test with that question

Answer:

22

Step-by-step explanation:

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