One canned juice drink is 30 percent orange juice, another is 10 percent orange juice. how many liters of each should be mixed together in order to get 20l, that is 12 perfect orange juice

Final answer:

The 11th term of the sequence, where each term is the sum of the three previous terms starting with 1, 2, and 3, is 423.

Explanation:

The sequence is defined such that each term is the sum of the three previous terms, starting with 1, 2, and 3. To find the 11th term, we continue the sequence based on its pattern:

1 (given)

2 (given)

3 (given)

6 (1+2+3)

11 (2+3+6)

20 (3+6+11)

37 (6+11+20)

68 (11+20+37)

125 (20+37+68)

230 (37+68+125)

423 (68+125+230)

Therefore, the 11th term of the sequence is 423.

Answer:

She has a total of $3.75 left

Step-by-step explanation:

Step 1

Express the amount of money Luis had in the beginning as follows;

A=E+R

where;

A=initial amount he had at the beginning

E=total expenditure

R=total remainder after spending

In our case;

A=(1×10)+(3×5)=$25

E=Amount spent at amusement park+amount spent on snacks

E=(12.75+8.50)=$21.25

R=unknown=r

Step 2

Substitute the values in the expression and solve for A;

25=21.25+r

r=25-21.25=3.75

r=3.75

She has a total of $3.75 left

Answer:

A. $4.29

B. $1.44

Step-by-step explanation:

A. We have been given that Larry goes to gym twice a week for 13 weeks. Let us multiply 13 by 2 to find the number of times Larry visited the gym for first 3 months.

[tex]\text{The number of Larry's visits to gym for the first 3 months}=13\times 2=26[/tex]

Since there are 12 months in a year, then Larry has gone to gym only 9 times for rest of month as 12-3=9.

Now let us add 26 and 9 to get the total number of Larry's visits to gym.

[tex]\text{Larry's total visits to gym}=26+9[/tex]

[tex]\text{Larry's total visits to gym}=35[/tex]

Now let us divide total cost (150) by total number of visits (35) to get the each visit's cost.

[tex]\text{Each visit's cost}=\frac{150}{35}[/tex]

[tex]\text{Each visit's cost}=4.2857142857142857\approx 4.29[/tex]

Therefore, each visit to the center costs $4.29 to Larry.

B. If Larry continued going twice a week all year, then total number of Larry's visits to center will be 52 times 2.

[tex]\text{Larry's total visits to center}=52\times 2[/tex]

[tex]\text{Larry's total visits to center}=104[/tex]

Now let us divide total cost (150) by total visits (104) to find the cost of each visit.

[tex]\text{Each visit's cost}=\frac{150}{104}[/tex]  

[tex]\text{Each visit's cost}=1.4423076923076923\approx 1.44[/tex]

Therefore, If Larry continued going twice a week all year, it would cost  him $1.44 for each visit.

Translations are part of rigid motions which also include reflection and rotation. For these three, we can then assume that neither the perimeter nor the area of an object would change. This means that, once an object is translated it is not biased or distorted (either enlarged or diminished). Thus, making the perimeter of the original and the image are equal. So for this problem, the perimeter of the image would be the same as the pre-image, and that would be 44 units. 

In the context of geometric transformations, the shape and size do not change, only position. Therefore, if the trapezoid's pre-image has a perimeter of 44 units, the image, as a result of translation, will have the same perimeter of 44 units.

In the context of geometric transformations like translations, rotations, or reflections, the shape and size of the object do not change--only its position does. The pre-image and the image are congruent, so their perimeters are the same.

In the situation described in your question, Penny's trapezoid is translated so that one of its vertices is at the origin. Because a translation is a type of isometry (a transformation that preserves distance), the shape of the trapezoid and the lengths of its sides will not change in the translation process. As a result, if the perimeter of the pre-image is 44 units, then the perimeter of the image will also be 44 units, regardless of where the vertices are located.

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The perfect square expression is (b) 6^2

A perfect square is any expression that can be represented as:

x^2

Where x is a real number

From the list of options, we have: 6^2

i.e.

x^2 = 6^2

Hence, the perfect square expression is (b) 6^2

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Answer: 563.37 hahaha

Step-by-step explanation:

The person's average daily savings is $2.00. The correct answer is option b $2.00.

Step 1

To find the average daily savings, we need to divide the total amount saved by the number of days over which the savings occurred.

Calculation:

1. Total savings: $70

2. Number of days: 35 days

Step 2

The average daily savings is calculated as:

[tex]\[\text{Average daily savings} = \frac{\text{Total savings}}{\text{Number of days}} = \frac{70}{35} = 2\][/tex]

The person's average daily savings is $2.00.

Complete question : In 35 days, a person saved $70. What was the person's average daily savings?

a $0.70

b $2.00

c $1.50

d $1.05

e $2.33

f none of these

The conjecture that any real number squared is a nonnegative number is correct. This is because squaring a positive number gives a positive result, squaring a negative number also gives a positive result, and squaring zero equals 0, which is nonnegative.

This mathematical conjecture proposes that for any real number, when squared, the result is a nonnegative number. Given n is a real number, the conjecture n^2 is a nonnegative number is indeed true. In mathematics, a real number is considered nonnegative if it is greater than or equal to zero.

To provide more insight, let's look at a few examples: If we take a positive number such as 3, and you square it (3^2), you get 9, which is a positive number. Equally, if you take a negative number like -3 and square it (-3^2), you get 9 again, which is also a positive number. Even if you take the number zero (which is neither positive nor negative) and square it, you get 0, which is still considered nonnegative. Thus, any real number when squared is always a nonnegative number.

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Answer:

676pi units ^2

Step-by-step explanation:

apex

The surface area of a sphere with a radius of 13 units is 676π²

explaination;

Given radius = 13 units

surface area of a sphere = 4πr²

                                          = 4 * 13*13 π²

                                          676π² answer.

The floor region of a strong object is a measure of the full vicinity that the floor of the item occupies. The mathematical definition of surface vicinity within the presence of curved surfaces is extensively extra involved than the definition of arc length of 1-dimensional curves, or of the floor area for polyhedra for which the surface place is the sum of the areas of its faces. clean surfaces, such as a sphere, are assigned floor region using their representation as parametric surfaces. The definition of floor area is based totally on methods of infinitesimal calculus and includes partial derivatives and double integration.

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The amount of the money that is in total removed from the account would be $69.

As per the question, the bank charges an out-of-network service fee of $3.00, and you withdraw $20 from each of three out-of-network ATMs, how much money in total will be removed from your account is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Amount withdrew from the ATM three times,
= 3 × 20
= $60
The total service fee charged on out of network 3 times
= 3 × 3
= $9

Now, total money withdrew from the account = 60 + 9 = $69

Thus, the amount of money that is in total removed from the account would be $69.

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The total amount of money that will be removed from your account is $9.00.

To find the total amount of money that will be removed from your account, you need to multiply the out-of-network service fee by the number of withdrawals you made. In this case, the out-of-network service fee is $3.00 and you made three withdrawals. So, the total amount of money that will be removed from your account is $3.00 x 3 = $9.00.

Answer:

D) Rhoda's Method

Step-by-step explanation:

-2(3x - 12)

Using the distributive property a(b - c) = ab - ac

-2(3x -12) = -2(3x) -2(-12)

= -6x + 24

Which means-2(3x - 12) and -6x + 24 are equal.

To check this, we have to substitute the same x value for both the expression and evaluate them.

Both expression will have the same value.

Therefore, Rhoda is correct.

Thank you.

If two sides of a triangle are congruent , then the angles opposite to these sides are congruent.

∠P≅∠Q∠P≅∠Q

Proof:

Let SS be the midpoint of PQ¯¯¯¯¯PQ¯ .

Join RR and SS .

Since SS is the midpoint of  PQ¯¯¯¯¯PQ¯ , PS¯¯¯¯¯≅QS¯¯¯¯¯PS¯≅QS¯ .

By Reflexive Property ,

RS¯¯¯¯¯≅RS¯¯¯¯¯RS¯≅RS¯

It is given that PR¯¯¯¯¯≅RQ¯¯¯¯¯PR¯≅RQ¯

Therefore, by SSS ,

ΔPRS≅ΔQRSΔPRS≅ΔQRS

Since corresponding parts of congruent triangles are congruent,

∠P≅∠Q∠P≅∠Q

The converse of the Isosceles Triangle Theorem is also true.

If two angles of a triangle are congruent, then the sides opposite those angles are congruent.

If ∠A≅∠B∠A≅∠B , then AC¯¯¯¯¯≅BC¯¯¯¯¯AC¯≅BC¯ .

x + 4

Given:

The expression x³ - 11x² + 16x + 84

Question:

Which binomial is not a divisor of x³ - 11x² + 16x + 84?

The Process:

This is a problem about Remainder Theorem.

If x = a or (x - a) is one of the roots or factors (divisors) of the function f (x), then f(a) = 0.

Let us test one by one of the options available into the polynomial function.

[tex]\boxed{ \ x + 2 \ } \rightarrow \boxed{ \ x = -2 \ }.[/tex]

[tex]\boxed{ \ x + 4 \ } \rightarrow \boxed{ \ x = -4 \ }.[/tex]

[tex]\boxed{ \ x - 6 \ } \rightarrow \boxed{ \ x = 6 \ }.[/tex]

[tex]\boxed{ \ x - 7 \ } \rightarrow \boxed{ \ x = 7 \ }.[/tex]

From the test results above, it was clearly observed that (x + 4) is not a divisor of x³ - 11x² + 16x + 84 because [tex]\boxed{ \ f (-4) \neq  0 \ }[/tex].

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Alternative Steps

We will use Horner's rule for polynomial division in finding factors as well as divisors.