Correct Elizabeth needs to gain 7 pounds in order to be able to donate blood. She gained (5)/(8) pound the first week, (5)/(8) the next two weeks, (1)/(4) pound the fourth week, and lost (5)/(6) pound the fifth week. How many more pounds do to gain?

Answer:

E = 10

Step-by-step explanation:

Faces = F = 6

Vertices = V = 6

Edges = E = ?

F + V = E + 2

6 + 6 = E + 2

12 = E + 2

E = 12 - 2

E = 10

Answer:

10

Step-by-step explanation:

There are 6 faces and 6 vertices.

The formula is F + V = E + 2.

So,

6 + 6 = E + 2

12 = E + 2

E + 2 = 12

E = 10

There are 10 edges.

Answer: B (The cost of a notebook is $0.75, and the cost of a folder is $0.25.)

Step-by-step explanation:

No need for explanation. i know i’m right!!

The order of the list from greatest to least is: 3.0, 23%, 2/3, 5/8, "-4/3," "-1."

The first two values, 3.0 and 23%, are easily comparable as they are both expressed in numerical form. 3.0 is a whole number, while 23% is a fraction equivalent to 0.23. Therefore, 3.0 is greater than 23%.

Comparing the next two values, 2/3 and 5/8, can be a bit trickier since they are both fractions. To compare them, we can convert them to decimals or find a common denominator. Converting them to decimals, we get 0.67 for 2/3 and 0.625 for 5/8.

Therefore, 2/3 is greater than 5/8.

Next, we have two negative values, "-4/3" and "-1." Both are expressed as fractions, but "-1" can also be written as "-1/1." To compare them, we can convert them to a common denominator. Multiplying "-4/3" by 3/3, we get "-4/9." "-1/1" is equivalent to "-9/9." Therefore, "-1" is greater than "-4/3."

In summary, the ordered list from greatest to least is 3.0, 23%, 2/3, 5/8, "-4/3," and "-1." The values were compared by converting them to decimals or finding a common denominator.

To compare and order a list of values, it is essential to establish a common basis of comparison. In this case, we used decimals and common denominators to compare fractions and negative numbers. Converting fractions to decimals allowed us to easily compare them, while finding a common denominator helped us compare fractions and negative numbers.

It is also important to remember that percentages are equivalent to fractions and decimals, and that negative numbers follow a specific order, with the smaller (or more negative) number being greater. By following these guidelines, we were able to successfully order the list of values from greatest to least.

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Answer:

x = 3, x = 11

Step-by-step explanation:

Since PR is an angle bisector then it divides the opposite side into segments which are proportional to the other 2 sides, that is

\(\frac{PQ}{PS}\) = \(\frac{QR}{SR}\) , substitute values

\(\frac{x+1}{16}\) = \(\frac{x-2}{x+1}\) ( cross- multiply )

(x + 1)(x + 1) = 16(x - 2) ← expand left side using FOIL

x² + 2x + 1 = 16x - 32 ( subtract 16x - 32 from both sides )

x² - 14x + 33 = 0 ← in standard form

(x - 3)(x - 11) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x - 11 = 0 ⇒ x = 11

The rate of discount is approximately 6.4%.

Given that, the purchase at the store "Tias" come to $428.85 before any discounts and before any taxes.

The total price after a discount and taxes of 13% was $452.98.

The formula to find out the rate of discount is `tag=(1+r*t)(1-r*j)*p`, where `tag` is the total price after a discount and taxes, `p` is the initial price, `r` is the rate of discount, `t` is the tax rate, and `j` is the rate of tax.

So we can say that `452.98=(1-r*0.13)(1+r*0)*428.85`

On solving, we get, `r≈6.4%`

Hence, the rate of discount is approximately 6.4%.

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There were 144 students when the contest began

Equation is formed when an algebraic expression is equated by a constant or another algebraic expression.

On the basis of given data :

Let the total number of students are x

50% of the students are eliminated after the first round

the remaining students are 0.5x

After the second round = (1/3) * 0.5 x were remaining

and

(1/3) * 0.5 x = 24

then solving this equation will give the total number of students

0.5x = 24 * 3

x = 24*3 /0.5 = 144

Therefore there were 144 students when the contest began

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The probability of the event that the number 1 and 2 are separated into the same group is 0.48.

The integer from 1 to 10 are separated into 2 groups. Now, the ways of making two group out of 10 integers is,

= ¹⁰C₅

= 252.

Now, the total possible ways in which 1 and 2 will be in the same group is,

= 1 + 1 + ¹⁰C³

= 1 + 1 + 120

= 122

Now, the probability that 1 and 2 are in same group is,

= 122/252

= 0.48

So, the probability of 1 and 2 being in same group is 0.48.

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Answer:

2? – (-6)x +(-27), x² + 6x – 27 = 0

Step-by-step explanation:

i used a calculator

ANSWER

EXPLANATION

The Chairman and Co-Chairman are specific positions, so order matters. We first select the chairman out of 10 people and then, the Co-Chairman out of the 9 people left,

(a) If a is finite, then we know exactly how many elements are in a. For example, if a = {1, 2, 3}, then we know that a has three elements. In this case, we can tell exactly how big a is.

(b) If a is countably infinite, then we know that a has the same cardinality (size) as the set of natural numbers.

This means that we can put the elements of an in a one-to-one correspondence with the natural numbers.

For example, if a = {2, 4, 6, ...}, then we can list the elements of an as a_1 = 2, a_2 = 4, a_3 = 6, and so on. In this case, we can tell how big a is, but it's an infinite size.

(c) If a is uncountable, then we know that a is larger than the set of natural numbers. This means that we cannot put the elements of an in a one-to-one correspondence with the natural numbers.

For example, if a is the set of all real numbers between 0 and 1 (excluding 0 and 1 themselves), then there are uncountably many elements in a. In this case, we can't tell exactly how big a is, but we know that it's larger than the set of natural numbers.

(d) Finally, if we don't have any information about a, then we can't tell how big a is. It's possible that a could be finite, countably infinite, uncountable, or even something else entirely.

Without more information, we simply can't say for sure.

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Answer: 45

Step-by-step explanation: 9*5=45

Step-by-step explanation:

hope it helps you........

The value of x in the equation 1/4(4 + x) = 4/3 is x = 4/3.

Multiply both sides of the equation by 4 to eliminate the fraction on the left-hand side:

1/4(4 + x) = 4/3

4 * 1/4(4 + x) = 4 * 4/3

Simplifying:

4 + x = 16/3

Subtract 4 from both sides of the equation:

4 + x - 4 = 16/3 - 4

Simplifying:

x = 16/3 - 12/3

x = 4/3

A fraction is a mathematical concept used to represent a part of a whole or a ratio between two quantities. It is typically written in the form of a numerator (top number) over a denominator (bottom number), separated by a horizontal line. For example, the fraction 1/2 represents one out of two equal parts, or half of a whole. Similarly, the fraction 3/4 represents three out of four equal parts, or three-quarters of a whole.

Fractions are an essential part of mathematics and are used in a wide range of applications, including measurements, cooking, and financial calculations. They can be added, subtracted, multiplied, and divided just like whole numbers, but they require a bit more care in their manipulation due to their unique structure.

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Answer:

hxgdhsksuflskjtnsjfbdyfyjagdjxfhhfbejfbodwkkgodl

Answer:

The common ratio of this sequence is 1/3, so to find the next three terms we can continue multiplying by 1/3:

1/3 * 1/3 = 1/9

1/9 * 1/3 = 1/27

1/27 * 1/3 = 1/81

Therefore, the next three terms in the sequence are 1/9, 1/27, and 1/81.

1/9, 1/27, and 1/81 are the next 3 numbers in the Geometric sequence 9, 3, 1, 1/3

The given geometric sequence is 9, 3, 1, 1/3.

To find the common ratio, we divide any term by the previous term. Let's use the second and first terms:

3 ÷ 9 = 1/3

The common ratio is 1/3.

To find the next three terms, we can continue multiplying each term by the common ratio.

1/3 * (1/3) = 1/9

(1/3) * (1/9) = 1/27

(1/9) * (1/27) = 1/81

Therefore, the next three terms in the geometric sequence are 1/9, 1/27, and 1/81.

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The inequality equation for the measurements of the rectangular field must satisfy t<225.

If two real numbers or the algebraic expressions are related by the symbols “>”, “<”, “≥”, “≤”, then the relation is called an inequality.

The length of the rectangle is 2t meters

the breadth of the rectangle is 50 meters

The perimeter of the rectangle is given by 2×(length+breadth)

Here the perimeter of rectangle is less than 1km=1000meter

Forming an equation with the given data

2×(2t+50)<1000

2t+50<\(\frac{1000}{2}\)

2t+50<500

2t<500-50

2t<450

t<\(\frac{450}{2}\)

t<225

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The correct question is "A rectangular field has these measurements kim walks around the edge of the field. she walks less than 1km. form and solve an equality to find the possible values of t when length of the field is 2t meters and breadth is 50 meters"

The interest earned over 20 years by Susan is $50,208.09

The formula to calculate the amount of money accumulated through compound interest is:

A = P(1 + r/n)^(n × t)

Where A is the amount of money accumulated, P is the principal, 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 time period in years.

Given the data in the question;

Substituting these values into the formula, we get:

A = P (1 + r/n)^(n × t)

A = 40,000( 1 + 0.0415/1)^(1 × 20)

A = 40,000(1 + 0.0415)(20)

A = 40,000(1.0415)(20)

A = $90,208.09

The interest earned over 20 years is the difference between the amount accumulated and the initial deposit, which is:

I = A - P

I = $90,208.09 - 40,000

I = $50,208.09

Therefore, the interest earned is $50,208.09.

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The side-angle-side (SAS) theorem, which states that two sides and an included angle of one triangle are congruent if they are comparable to two sides and an included angle of another triangle, is the first of these theorems.

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.

The first such theorem is the side-angle-side (SAS) theorem, which states that two sides and an included angle of one triangle are congruent if they are equivalent to two sides and an included angle of another triangle.

Therefore, the side-angle-side (SAS) theorem, which states that two sides and an included angle of one triangle are congruent if they are comparable to two sides and an included angle of another triangle, is the first of these theorems.

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Answer:

It’s 12.48 but if it is only a number and no decimals it will be 12.

Step-by-step explanation:

The intersection of An and Bn is the empty set.

Let's analyze the sequences An and Bn to understand why their intersection is the empty set.

The sequence An consists of the odd numbers up to 2n-1, where n is a positive integer.

For example, A1 = {1}, A2 = {1, 3}, A3 = {1, 3, 5}, and so on.

As n increases, the sequence An keeps growing with additional odd numbers.

On the other hand, the sequence Bn starts from the positive integer n and continues indefinitely.

For example, B1 = {1, 2, 3, ...}, B2 = {2, 3, 4, ...}, B3 = {3, 4, 5, ...}, and so on. Each Bn sequence includes all the positive integers greater than or equal to n.

When we consider the intersection of An and Bn, we are looking for elements that belong to both sequences.

However, since An consists only of odd numbers and Bn includes all positive integers starting from n, there are no common elements between them.

The  An and Bn do not share any elements, and therefore their intersection is empty (∅).

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The fifth term of the arithmetic sequence is -1190.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. To find the fifth term, we can use the formula for the nth term of an arithmetic sequence:

aₙ = a₁ + (n - 1) * d

where aₙ represents the nth term, a₁ is the first term, n is the position of the term, and d is the common difference.

Given that the 100th term is -1240 and the common difference is -25, we can substitute these values into the formula.

Since the fifth term corresponds to n = 5, we can calculate:

a₅ = -1240 + (5 - 1) * (-25)

= -1240 + 4 * (-25)

= -1240 - 100

= -1340

Therefore, the fifth term of the arithmetic sequence is -1190.

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Answer:

\( z = 12 \sqrt{5} \)

Step-by-step explanation:

By geometric mean property:

\(y = \sqrt{24 \times 6} \\ \\ y = \sqrt{144} \\ \\ y = 12 \)

By Pythagoras Theorem:

\( z = \sqrt{ {12}^{2} + {24}^{2} } \\ \\ z = \sqrt{144 + 576} \\ \\ z = \sqrt{720} \\ \\ z = 12 \sqrt{5} \)

Divide price by quantity:

3.00 / 12 = $0.25 per can.

Answer:

f =38

Step-by-step explanation:

f-3/4=5/6

f-3×6=5×4

f-18 =20

f =20+18

f =38

Answer: (x,y)---> (x+1, y-9). OR T 1, -9

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

6x+7=8x-15

7=2x+15

22=2x

11=x

Answer:

11 =x

Step-by-step explanation:

6x +7=8x -15

Subtract 6x from each side

6x-6x +7=8x-6x -15

7 = 2x -15

Add 15 to each side

7+15 = 2x-15+15

22 =2x

Divide each side by 2

22/2 = 2x/2

11 =x

Answer:

Problem 1:  HI = 12.22

Problem 2:  AB = 16.23

Step-by-step explanation:

Problem 1:

tan = opposite / adjacent

HI = x

tan 42° = 11 / x

multiply both sides of the equation by x

x (tan 42°) = 11

divide both sides of the equation by tan 42°

x = 11 / tan 42°

tan 42° = 0.90 (given)

x = 11 / 0.90

x = 12.22

Problem 2:

cosine = adjacent / hypotenuse

cos 52° = 10 / c

multiply both sides by c

c (cos 52°) = 10

divide both sides by (cos 52°)

c = 10 / cos 52°

cos 52° = 0.616 (given)

c = 10 / 0.616

c = 16.23