5. Which of the following rational numbers does not lie between (2/5 and 3/4 ​

When Tracey pours all the water from the smaller 5-inch cube container into the larger 7-inch cube container, the water will be approximately 7 inches deep in the larger container.

To find out how deep the water will be in the larger container, we need to consider the volume of water transferred from the smaller container. Since both containers are cube-shaped, the volume of each container is equal to the length of one side cubed.

The volume of the smaller container is 5 inches * 5 inches * 5 inches = 125 cubic inches.

When Tracey pours all the water from the smaller container into the larger container, the water completely fills the larger container. The volume of the larger container is 7 inches * 7 inches * 7 inches = 343 cubic inches.

Since the water fills the larger container completely, the depth of the water in the larger container will be equal to the height of the larger container. Since all sides of the larger container have the same length, the height of the larger container is 7 inches.

Therefore, the water will be approximately 7 inches deep in the larger container.

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Answer:

angle y = 60

Step-by-step explanation:

They are equal due to the rule that vertical angles are always equal

"A pair of vertically opposite angles are always equal to each other."

hope this helps

Approximately 204.11 years ago, your great, great, great, great grandmother left you $2 in a bank account that has grown to $150,000 today.

To calculate the number of years, we can use the compound interest formula:

\(A = P(1 + r/n)^ {nt}\)

where A is the final amount, P is the principal amount, r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the number of years.

Given that the principal amount is $2, the final amount is $150,000, the annual interest rate is 5.5% (0.055 as a decimal), and the interest is compounded weekly (n = 52), we can solve for t:

\(50,000 = 2(1 + 0.055/52)^{52t}\)

Dividing both sides by $2 and isolating the exponent, we get:

\(75,000 = (1.0010576923076923)^{52t}\)

Taking the logarithm of both sides, we have:

\(log(75,000) = log(1.0010576923076923)^{52t}\)

Using logarithm properties, we can rewrite the equation as:

log(75,000) = 52t * log(1.0010576923076923)

Solving for t by dividing both sides by 52 * log(1.0010576923076923), we find:

t ≈ 204.11 years

Therefore, approximately 204.11 years ago, your great, great, great, great grandmother left you $2 in the bank account.

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Therefore , the price per ticket is $12,the equation used is y=12x, the theatre made $3936 by selling 328 ticket and the relationship is proportional.

An algebraic equation is a linear equation. Each term in a linear equation is either a constant or the result of a constant plus one variable. In the case of a linear equation with two variables, the graph is a straight line.

Here,

A) From the given  we can find the price per ticket

which is => y/x

=> 60/5

=>12

Therefore the price per ticket is $12

B)The equation can be used to represent the graph is

y= 12x

C) The theater were to sell 328 tickets they would make

=> 328*12=3936

Therefore the money would they make is $3936

D)The relationship proportional as we can see from the graph

Therefore , the price per ticket is $12,the equation used is y=12x, the theatre made $3936 by selling 328 ticket and the relationship is proportional.

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The system of equations solved by the elimination method gives (-2, 1)

From the question, we have the following parameters that can be used in our computation:

y = -4x + 11

y = 1/2x + 2

Subtract the equations to eliminate y

So, we have the following representation

-4 1/2x - 9 = 0

So, we have

-4 1/2x = 9

Divide the equations

x = -2

Recall that

y = 1/2x + 2

So, we have

y = 1/2(-2) + 2

This gives

y = 1

Hence, the solutions are x = 2 and y = 1

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Answer:

427,350

Step-by-step explanation:

so you do 7.25×13=94.25

and then you do 94.25%×220,000=207,350

So you can now do 207,250+220,000 (which) =427,350

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\(7( - 2x + 4) = - 4x\)

\( - 14x + 28 = - 4x\)

Add sides 4x

\( 4x - 14x + 28 = 4x - 4x\)

\( - 10x + 28 = 0\)

Subtract sides 28

\( - 10x + 28 - 28 = - 28\)

\( - 10x = - 28\)

Negatives simplifies

\(10x = 28\)

Divided sides by 10

\( \frac{10}{10}x = \frac{28}{10} \\ \)

\(x = 2.8\)

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Answer:

diameter is 28

Step-by-step explanation:

615.75216/3.14=196.099

\(\sqrt{196}\)=14

14*2=28

Answer:

$10

Step-by-step explanation:

This question has missing details.

The given parameters from the complete question is:

\(Slushy\ Cup = \$5\)

\(Refill = \$1\)

Required

Total amount for 1 cup and 5 refills

Let

\(x \to\) Slushy Cup

\(y \to\) Refill

So, the expression for the total amount is:

\(Total = 5x + y\)

\(x =1\) -- 1 cup

\(y = 5\) -- 5 refills

So, the total is:

\(Total = 5 * 1 + 5\)

\(Total = 5 + 5\)

\(Total = 10\)

Solution: 1/3 + 3/5

Take the LCM of 3 and 5 is 15.

⇛(5+9)/15

⇛14/15 in fractional form.

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Answer:

14/15

Step-by-step explanation:

When you simplify a fraction, you have to divide or multiply the numerator(the top number) and the denominator(the bottom number) by the same number. In order to add or subtract two fractions, both have to have the same denominator. The LCD, or least common denominator, of 3 and 5 is 15. 15÷3=5, so you multiply 1/3 by 5 and and 5 to get 5/15. 15÷3=5, so you multiply 3/5 by 3 and 3 to get 9/15. The denominator stays the same when adding or subtracting fractions, and 5+9=14, so the answer is 14/15.

First, break down the problem.  

Someone can skate 3 miles in 9 minutes.

What is their speed?  How far would they go if they did that speed for 1 minute?

To find speed given time and distance, divide distance by time.

3/9 = 1/3

Speed is 1/3 mile per minute

if they travel one minute, they will travel 1/3 of a mile

hope this helps :)

Answer:

$839.95

Step-by-step explanation:

Before Tax Price: $785.00

Sale Tax: 7.00% or $54.95

Answer:

7/66

Step-by-step explanation:

Given problem,

→ (7/10) × (1/3) × (5/11)

Let's solve the given problem,

→ (7/10) × (1/3) × (5/11)

→ (7 × 1 × 5)/(10 × 3 × 11)

→ 35/330

→ 7/66

Hence, the answer is 7/66.

The Euler's formula solved for the variable V gives . V = 2 + E − F. Option 2

The subject of a formula is the variable or variables that represent the quantity being calculated or solved for.

In mathematical formulas, the subject is typically denoted by a letter or symbol, and the formula shows the relationship between the subject and other variables or constants in the equation.

From the information given, we have that;

V − E + F = 2

To make the variable, V, the subject, take the steps

collect the variable E

V + F = 2 + E

Now, collect the F variable

V = 2 + E - F

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Answer:

$10.89 should be your answer

Convenience sampling is the least likely to produce a representative sample of the students.

Using the convenience sampling technique, individuals are chosen based on their accessibility and availability. This kind of sampling is frequently employed in studies when the objective is to swiftly collect data from a sample group rather than to acquire a representative sample of the population. If a person is willing to engage in the study  to the researcher, they are chosen for convenience sampling. The primary advantage of this strategy is that it is very simple and quick to apply; however, the primary downside is that the sample may not be representative of the population. This can result in skewed or false findings.

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The answer is 30

Step-by-step explanation:

50-2=48 then divide 48 by 1.60 and you get 30!

In order to calculate the tangential speed of the orbiting object   Hannah need the distance of the orbiting object to Earth.

The tangential speed of an object is the linear component of the speed, which is moving in a circular path.

In terms of  the gravitation constant, the tangential speed can be given as,

\(v=\sqrt{\dfrac{Gm}{r}}\)

Here, {G} is the gravitation constant, (m) is the mass and (r) is the radius.

Hannah has information about an object in circular orbit around Earth.

The mass of the earth is.

\(m_E=6. 0 \times10^{24} kg\)

The value of gravitational constant is,

\(G=6. 67\times 10{-11}\rm Nm^2/kg^2\)

The radius of the earth is,

\(r_E=6. 0 \times 10^6 \rm m\)

Here, only the distance of the orbiting object to Earth is need to find the tangential speed of the object.

Hence, in order to calculate the tangential speed of the orbiting object   Hannah need the distance of the orbiting object to Earth.

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The roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x=-7 and x=1.

Any equation in algebra that can be written in the standard form where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation.

In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.

So, the roots of 0 = 2x² + 12x-14 are:

2x² + 12x-14  = 0

2x² + 14x - 2x -14

2x(x + 7) - 2(x + 7)

(2x - 2) (x + 7)

Now, use the zero product property as follows:

2x - 2 = 0

2x = 2

x = 2/2

x = 1

And

x + 7 = 0

x = -7

Therefore, the roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x = -7 and x = 1.

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Correct question:

What are the roots of the quadratic equation 0 = 2x² + 12x-14?

a. 1,6, -7

b. 2,12,-14

c. -7,1

d. -1,7

The equation given, 5x + 10y, does not represent the total amount of fiber in a package containing x apples and y oranges.

To calculate the total amount of fiber in a package containing x apples and y oranges, you would need to know the amount of fiber in each apple and orange and the number of apples and oranges in the package.

For example, if each apple contains 3 grams of fiber and each orange contains 2 grams of fiber, and there are x apples and y oranges in the package, the total amount of fiber in the package would be:

Total fiber = (3 grams of fiber per apple)(x apples) + (2 grams of fiber per orange)(y oranges)

Total fiber = 3x + 2y grams

what is number?

A number is a mathematical concept used to represent quantity or magnitude. Numbers can be used to count objects, measure distances or sizes, perform calculations, and describe various other mathematical concepts. The most basic types of numbers are the natural numbers, which include all positive integers (1, 2, 3, ...), and sometimes zero (0) as well. Other types of numbers include fractions, decimals, negative numbers, complex numbers, irrational numbers, and more. Numbers are a fundamental concept in mathematics and are used extensively in many fields, including science, engineering, economics, and finance.

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Answer:

distance between a and b is 1

distance between b and c is 3

distance between b and a is 1

6,-3

2-,5

-10,-3

-2-11

3

Answer:

Lol question for me only

Real Answer:

A and B = 1

B and C = 3

B and A = 1

Four points that are four points

6,-3

-2,5

-10,-3

-2,-11

Distance between some points

3

Answer:

Remember that if u draw a line in the middle your square will form two triangles.

The line u forming will be your diagonal.

Then u use the Theorem of Pythagoras as the diagonal in the middle forms two right angle triangles.

Then it's going to be 4 squared plus 4 squared Then your answer you square root it.

Since it's from corner to centre you will take your answer and divide it by 2.As your answer will be 2 square root 2.

The relation R satisfies all three properties of a partial order relation (reflexivity, antisymmetry, and transitivity), we can conclude that R is indeed a partial order relation on the integers.

To determine if the relation R defined on the integers is a partial order relation, we need to verify if it satisfies the three properties of a partial order: reflexivity, antisymmetry, and transitivity.

1. Reflexivity: For a relation to be reflexive, every element must be related to itself. In this case, for any integer n, we need to check if n R n holds. According to the definition of R, n R n if n * n is even. Since the product of an integer with itself is always even, n R n holds for all integers. Therefore, R is reflexive.

2. Antisymmetry: For a relation to be antisymmetric, if m R n and n R m hold, then m must be equal to n. Let's assume m R n and n R m. By the definition of R, m R n means m * n is even, and n R m means n * m is even. Since multiplication is commutative, m * n = n * m. Therefore, if m R n and n R m, then m * n = n * m is even. This means that the product of m and n is even, and since an even number times any other number is even, it implies that both m and n are even. Thus, if m R n and n R m, then m = n. Therefore, R is antisymmetric.

3. Transitivity: For a relation to be transitive, if m R n and n R p hold, then m R p must also hold. Let's assume m R n and n R p. By the definition of R, m R n means m * n is even, and n R p means n * p is even. To show transitivity, we need to prove that m * p is even. Since m * n is even and n * p is even, we can express them as follows: m * n = 2k and n * p = 2j, where k and j are integers.

Now, multiplying both sides of the equations, we get:

(m * n) * (n * p) = (2k) * (2j)

m * n * n * p = 4kj

m * n^2 * p = 4kj

Since n^2 is always non-negative, m * n^2 * p is also even, as it can be written as (2 * (m * n^2 * p/2)). Therefore, m * p is even, which implies m R p. Thus, R is transitive.

Since the relation R satisfies all three properties of a partial order relation (reflexivity, antisymmetry, and transitivity), we can conclude that R is indeed a partial order relation on the integers.

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Answer:

-15

Step-by-step explanation:

if its just asking for what number would represent a loss of 15 it would be negative 15

i dont know if there's more to the problem or not

Answer:

-15

Step-by-step explanation:

This is because whatever much water was in the tank is now decreasing by 15, therefore, you can write it as -15,

hope this helps!

Answer:

c. Might not be congruent

There is No congruence between ABC and DEF.

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved.

From the figure we have given that

<A = <D

<B = <E

<C = <F

As, all the angles are equal but there is no Criteria which have AAA congruence rule.

Thus, there is no Congruence.

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Answer:

The volume of the tumor experimented a decrease of 54.34 percent.

Step-by-step explanation:

Let suppose that tumor has an spherical geometry, whose volume (\(V\)) is calculated by:

\(V = \frac{4\pi}{3}\cdot R^{3}\)

Where \(R\) is the radius of the tumor.

The percentage decrease in the volume of the tumor (\(\%V\)) is expressed by:

\(\%V = \frac{\Delta V}{V_{o}} \times 100\,\%\)

Where:

\(\Delta V\) - Absolute decrease in the volume of the tumor.

\(V_{o}\) - Initial volume of the tumor.

The absolute decrease in the volume of the tumor is:

\(\Delta V = V_{o}-V_{f}\)

\(\Delta V = \frac{4\pi}{3}\cdot (R_{f}^{3}-R_{o}^{3})\)

The percentage decrease is finally simplified:

\(\%V = \left[1-\left(\frac{R_{f}}{R_{o}}\right)^{3} \right]\times 100\,\%\)

Given that \(R_{o} = R\) and \(R_{f} = 0.77\cdot R\), the percentage decrease in the volume of tumor is:

\(\%V = \left[1-\left(\frac{0.77\cdot R}{R}\right)^{3} \right]\times 100\,\%\)

\(\%V = 54.34\,\%\)

The volume of the tumor experimented a decrease of 54.34 percent.

The expression for the sequence of operations described would be:

(10 x (u + 6))

We have,

(u + 6):

This part of the expression adds 6 to the variable "u".

It represents the addition operation between "u" and 6.

10 x (u + 6):

This part multiplies the result of the previous step by 10.

It represents the multiplication operation between 10 and the result of

(u + 6).

By combining these operations, the overall expression calculates the result of adding 6 to "u" and then multiplying the sum by 10.

In this expression,

"u" represents a variable or a value.

The sequence first adds 6 to "u" and then multiplies the result by 10.

Thus,

The expression for the sequence of operations described would be:

(10 x (u + 6))

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The probability that every even number appears at least once before the first occurrence of an odd is 1/20.

Given:

A fair 6-sided die is repeatedly rolled until an odd number appears.

There are 6! ways to order the 6 numbers and 3!(3!) ways to order the evens in the first three spots and the odds in the next three spots.

so the probability = 3!*3! / 6!

= 3!*3! / 6*5*4*3!

= 3*2*1 / 6*5*4

= 6*1 / 30*4

= 6/120

= 1/20

Therefore the probability that every even number appears at least once before the first occurrence of an odd is 1/20.

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