Mai the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there were 3 clients who did Plan A and 2 who did Plan B. On Tuesday there were 8 clients who did Plan A and 4 who did Plan B. Mai trained her Monday clients for a total of 7 hours and her Tuesday clients for a total of 17 hours.


Required:

How long does each of the workout plans last?

The required net total of purchase with sale tax of 7% is $98.92.

A sales tax is a consumption tax that local or state governments apply on the purchase price of products or services from consumers. When a company has some sort of link to the jurisdiction, it is their job to collect sales tax and send payments to the government.

We have,

Price of two notebooks = 2($8. 75) = $17.5

Price of one textbook = $74. 95

Then,

Total price = $17.5 + $74. 95

= $92.45

If the sales tax for 7% the total of Allen’s purchase

7% of $92.45

=  $6.47

Now,Net total of purchase is

= $92.45 + $6.47

= $98.92

Thus,required Net total of purchase is $98.92.

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Answer:

x - 7 = 65

(x is rhonda's score)

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

u need to add more wording but that is my best guess

To answer this question, we can see that we have mixed fractions here. Then we have:

Therefore, we have:

Now, we need to find the least common multiplier of 3 and 4. In this case, it is 12. Using this, we can obtain two fractions with the same denominator, and it is easier to add both fractions algebraically.

Then, we need to divide 12 by 3 - in the first fraction, and then we need to multiply the result by 7 (the numerator). We can do the same with the other fraction:

Therefore, in (a) we can express the result as:

Then the result for the first case can be expressed as:

We can proceed similarly as before:

We got this result in the previous case.

And we also know that:

Then we have:

Therefore:

In summary, we can say that:

In case (a) the result of the operation is:

As an improper fraction:

As a mixed fraction:

In case (b) the result of the operation is:

Answer:

x=3

Step-by-step explanation:

1. Rearrange terms

1 - 6x = -17

-6x + 1 = -17

2. Subtract 1 from both sides of the equation (we want to get rid of 1)

3. Simplify

In the end, you should get x=3.

The absolute value of the error in the instructor's estimate is 0.644.

To find the absolute value of the error in the instructor's estimate, we need to calculate the difference between the sample mean and the population mean.

Given:

Population mean (μ) = 3.15

Sample mean (\(\bar{X}\)) = (3.89 + 4.00 + 3.85 + 3.77 + 3.81 + 3.43 + 3.28 + 3.27 + 3.56 + 3.92) / 10

= 36.78/10

= 3.678

Absolute value of the error = |\(\bar{X}\) - μ|

|\(\bar{X}\) - μ| = |3.678 - 3.15| = 0.528

Therefore, the absolute value of the error in the instructor's estimate is 0.644.

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Answer:

B

Step-by-step explanation:

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Answer:

B

Step-by-step explanation:

Answer:

The answer should be 10:7.

Hey there!

40:28

= 40 ÷ 2 : 28 ÷ 2

= 20 : 14

= 20 ÷ 2 : 14 ÷ 2

= 10 : 7

Therefore, your answer is: 10:7

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

a. The length of the arc is 6.28cm

b. The area of the sector is 25.12cm²

The arc of a circle is defined as the part or segment of the circumference of a circle. A sector is the space bounded by the arc and the radii of the circle. The smaller area is known as the minor sector and the bigger area is known as the major sector.

The length of an arc = tetha /360 ×2πr

= 45/360 × 2×3.14× 8

= 2×3.142 = 6.28cm

The area of a sector = tetha / 360 × πr²

= 45/360 × 3.14 × 8× 8

= 3.14× 8

= 25.12 cm²

Therefore, the length of the arc is 6.28cm and the area of the sector is 25.12cm²

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there are 4,200 possible distributions of the 10 different types of cookies among Anthony, Misha, and Lizard, considering the given conditions.

To determine the number of possible distributions of the 10 different types of cookies among Anthony, Misha, and Lizard, we can use combinatorial analysis.

First, let's consider the distribution of 3 cookies to Anthony. Since there are 10 cookies to choose from, the number of ways to select 3 cookies for Anthony is given by the combination formula:

C(10, 3) = 10! / (3! * (10 - 3)!) = 10! / (3! * 7!) = 10 * 9 * 8 / (3 * 2 * 1) = 120

Next, we consider the distribution of 3 cookies to Misha. Since there are 7 remaining cookies after Anthony's selection, the number of ways to select 3 cookies for Misha is:

C(7, 3) = 7! / (3! * (7 - 3)!) = 7! / (3! * 4!) = 7 * 6 * 5 / (3 * 2 * 1) = 35

Finally, the remaining 4 cookies are automatically assigned to Lizard.

To find the total number of possible distributions, we multiply the number of ways to distribute the cookies to Anthony, Misha, and Lizard:

Total number of possible distributions = 120 * 35 = 4,200

Therefore, there are 4,200 possible distributions of the 10 different types of cookies among Anthony, Misha, and Lizard, considering the given conditions.

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Answer:

try with this link https://es.symbolab.com/solver/square-roots-calculator

Step-by-step explanation:

Answer:

Step-by-step explanation:

$105.20

(x, y) is an element of the set c × d, since x is an element of c and y is an element of d.

Since (x, y) was an arbitrary element in a × b, we can conclude that every element in a × b is also in c × d. Thus, we have shown that if a ⊆ c and b ⊆ d, then a × b ⊆ c × d.

To show that if a ⊆ c and b ⊆ d, then a × b ⊆ c × d, follow these steps:

Step 1: Understand the notation.
a ⊆ c means that every element in set a is also in set c.
b ⊆ d means that every element in set b is also in set d.

Step 2: Consider the Cartesian products.
a × b is the set of all ordered pairs (x, y) where x ∈ a and y ∈ b.
c × d is the set of all ordered pairs (x, y) where x ∈ c and y ∈ d.

Step 3: Show that a × b ⊆ c × d.
To prove this, we need to show that any ordered pair (x, y) in a × b is also in c × d.

Let (x, y) be an arbitrary ordered pair in a × b. This means that x ∈ a and y ∈ b.

Since a ⊆ c, we know that x ∈ c because every element in set a is also in set c.
Similarly, since b ⊆ d, we know that y ∈ d because every element in set b is also in set d.

Now, we have x ∈ c and y ∈ d, so the ordered pair (x, y) belongs to c × d.

Step 4: Conclusion
Since any arbitrary ordered pair (x, y) in a × b also belongs to c × d, we can conclude that a × b ⊆ c × d.

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Answer:A: -8

Step-by-step explanation

More on the left of the number line then -5

The terms empty set, null set, and void set are all used to describe a set that is empty of any elements.

The empty set is the only set in mathematics that possesses no items; its size or cardinality is 0. While in other theories, its existence can be inferred, some axiomatic set theories guarantee the presence of the empty set by introducing an axiom of empty set.

An empty set is a set that contains no elements and can be represented by the symbol, which indicates that it is empty of elements. It has a definite number of elements since the finite set contains a countable number of items and the empty set has none. An empty set is a finite set since it has a cardinality of zero.

Therefore, the correct answer is option (c) (even prime numbers).

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The conditioned response (CR) in this scenario is the feeling of illness that Jack experiences whenever he sees bread. It is a learned response that has been associated with the moldy bread incident and has become triggered by the sight of bread.

When Jack unknowingly ate the sandwich with moldy bread, he formed an association between the moldy bread and feeling ill. This association was established through classical conditioning, where an unconditioned stimulus (the moldy bread) became paired with an unconditioned response (feeling ill) due to its natural properties.

Over time, this association became learned, and the bread itself became a conditioned stimulus (CS).

As a result, whenever Jack now sees bread, the conditioned stimulus (CS), it triggers the conditioned response (CR) of feeling ill.

The association between the moldy bread and feeling ill has been generalized to bread in general, leading to the automatic and involuntary response.

The CR in this scenario demonstrates the power of conditioning and how an initially neutral stimulus (bread) can come to evoke a response (feeling ill) due to its association with an aversive experience (eating moldy bread).

This learned response can persist even after the initial incident and continue to affect Jack's emotional and physiological reactions to bread in the future.

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Answer:

each person can get 3/12 if you split the 3.4 twice.

Step-by-step explanation:

make a circle

split one line down the middle and the other horizontal.

color is one of the corners. you will not use it. this is the part of the cake they already ate.

now you have three remaining parts.

split each one of the remaining heart down the middle.

now you have six remaining slices.

6 is not divisible by 4.

split the sixths down the middle one more time.

now you should have 12.

12 is divisable by 4.

give each person 3 out of 12 slices of cake.

it is just enough to feed all 4 people.

4/5% of 192 is approximately 1.536. The best estimate among the given answer choices is A. 2, which is the closest whole number to the actual value.

To find 37% of 293, we can start by using a proportion. We can set up the proportion as follows:

37/100 = x/293

To solve for x, we can cross-multiply and simplify:

37 x 293 = 100 x

x = 10841/100 ≈ 108.41

So, 37% of 293 is approximately 108.41. The best estimate among the given answer choices is B. 120, which is close to the actual value but slightly overestimated.

To find 4/5% of 192, we can first convert 4/5% to a decimal by dividing by 100:

4/5% = 4/5 ÷ 100 = 0.008

We can then multiply 0.008 by 192 to get the answer:

0.008 x 192 = 1.536

So, 4/5% of 192 is approximately 1.536. The best estimate among the given answer choices is A. 2, which is the closest whole number to the actual value. The other answer choices are too high and would overestimate the value.

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The length of ST is 3.61 units.

The length of TU is 3.16 units.

Distance between two points is the length of the line segment that connects the two points in a plane.

The formula to find the distance between the two points is usually given by:

d=√((x₂ – x₁)² + (y₂ – y₁)²)

Length of ST:

The coordinates of S and T are:

S(0, 0) : x₁ = 0 , y₁ = -5

T(2, 3) : x₂  = 2 , y₂  = -2

Using the distance formula with the given values:

d=√((x₂ – x₁)² + (y₂ – y₁)²)

d=√((2 – 0)² + (-2 – (-5))²) = 3.61 units

Thus, the length of ST is 3.61 units.

Length of TU:

The coordinates of S and T are:

T(0, 0) : x₁ = 2 , y₁ = -2

U(2, 3) : x₂  = 3 , y₂  = -5

Using the distance formula with the given values:

d=√((x₂ – x₁)² + (y₂ – y₁)²)

d=√((3 – 2)² + (-5 – (-2))²) = 3.16 units

Thus, the length of ST is 3.16 units.

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Answer:

I believe that it is B

The farmer has 90 meters of fencing available to create a rectangular garden in the middle of an open field. The solution depends on how the farmer decides to allocate the fencing among the length and width.

To maximize the area of the rectangular garden, the farmer needs to determine the dimensions that will utilize the given 90 meters of fencing most effectively. Let's assume the length of the garden is L and the width is W. For a rectangular shape, the perimeter is given by P = 2L + 2W. Since the farmer has 90 meters of fencing, we can write the equation as 2L + 2W = 90. To maximize the area, we need to solve for L and W. Since the perimeter is fixed, the longer one side becomes, the shorter the other side needs to be. The solution depends on how the farmer decides to allocate the fencing among the length and width.

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The two triangles below are similar and the value of x is 2.5mm

To determine the value of x, we can use the concept of similar triangles, which states that corresponding angles of similar triangles are equal, and corresponding sides are proportional.

In the given diagram, we have two triangles, one with sides measuring 12 mm, x mm, and 10 mm, and the other with sides measuring 3 mm, x mm, and an unknown side (which we'll label as y mm).

Since the triangles are similar, we can set up the following proportion based on their corresponding sides:

12 mm / 3 mm = 10 mm / y mm

To solve for y, we can cross-multiply:

12 mm * y mm = 3 mm * 10 mm

12y = 30

Dividing both sides of the equation by 12, we find:

y = 30 / 12

Simplifying the fraction, we get:

y = 5 / 2

Therefore, the value of x is equal to y, which means x = 5/2 or 2.5 mm.

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Using the inscribed angle theorems, the measure of the indicated angles are:

1. m∠BOA = 26°

2. m∠BDA = 13°

3. m∠BCA = 13°

Based on the inscribed angle theorem, the following relationships are established:

Given:

Intercepted arc BA = 26°

1. ∠BOA is central angle

Thus:

m∠BOA = 26° (inscribed angle theorems)

2. ∠BDA is inscribed angle.

m∠BDA = 1/2(30) = 13° (inscribed angle theorems)

3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)

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Answer:

d and e

Step-by-step explanation:

Answer:

60°

Step-by-step explanation:

Let m<R = x.

Let m<Q = 2x.

m<Q + m<R = 90

2x + x = 90

3x = 90

x = 30

m<Q = 2x = 2(30) = 60

Answer: 60°

Answer:

Step-by-step explanation:

answer would be

x = -3 + Square root of 6 divided by 3

or

x = - (3 + square root of 6) divided by 3

Solve with the quadratic formula

Answer:

12 years old

Step-by-step explanation:

3x+5=41

3 times a number and 5 more

'more' usually means adding

41-5 =36

36/3 =12

Answer:

Equation: 41 = 3x + 5

x = 12

Step-by-step explanation:

Hello!

Betty is 5 more than 3 times Jadyn's age. Since Jadyn's age is unknown, we'll call that unknown variable x.

Betty is 5 more than 3 times x. Betty is also 41 years old.

Equation: 41 = 3x + 5

Now we have to solve for x

Solve for x:

Jadyn is 12 years old.

9514 1404 393

Answer:

  C

Step-by-step explanation:

The ellipse y-intercepts are ±3, the x-intercepts are ±9, eliminating choices A and B. The parabola is shaded inside, eliminating choice D.

The correct choice is the third one.

Answer:

The temp at 6P.M. Is -14°C

Step-by-step explanation: