Cedric made 30 cups of soup. How many 1 1/4 cups servings does he have? A. 24 servings. B. 28 servings. C. 30 servings. D. 35 servings

To find the amount deducted from Ms. Everett's paycheck for her health insurance premium, calculate 70% of the annual premium, subtract the employer's contribution, and divide by 12 for the monthly deduction, resulting in $307.60. The correct answer is B.

To calculate the amount deducted from Ms. Everett's paycheck for her health insurance premium, first, find 70% of the annual premium:

70% of $12,304 = 0.70 x $12,304 = $8,612.80

The remainder that Ms. Everett must pay is the annual premium minus the employer's contribution: $12,304 - $8,612.80 = $3,691.20

Since Ms. Everett is paid monthly, divide the annual amount by 12 to find the monthly deduction: $3,691.20 ÷ 12 = $307.60

Therefore, the amount deducted from Ms. Everett's paycheck for her health insurance premium is $307.60.

Answer:

I am 96 percent it is c  

   Hope this helped!!!!

The area of a 2D form is the amount of space within its perimeter. The given statement is true.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Given that radius of the circle is 12 units, and the radius of the sphere is 6 units.

The area of the circle  = π(12)² = 144π units²

The surface area of the sphere = 4π(6)² = 144π units²

As it can be observed that the area of a circle of radius 12 units is equal to the surface area of a sphere of radius 6 units.

Hence, the given statement is true.

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The volume of a cube is found with the following formula:

[tex] l \times w \times h [/tex]

The length, width, and height must all be the same value in a cube. This means that you can replace variables l, w, and h with one variable, s:

[tex] \boxed{s} \times s \times s = s^3 [/tex]

The expression s can represent the length of a side of the cube.

The expression represents s, the length of a side of the cube is [tex]\rm s^3=64[/tex].

The volume of the cube formula is:

The volume of a Cube = Length × Width × Height

The volume of a cube is 64 cubic inches.

where s is the length of a side of the cube.

The side of the cube is;

[tex]\rm The \ volume \ of\ a\ Cube = Length \times Width \times Height \\\\ The \ volume \ of\ a\ Cube =s \times s \times s\\\\The \ volume \ of\ a\ Cube =s^3\\\\s^3=64[/tex]

Hence, the expression represents s, the length of a side of the cube is [tex]\rm s^3=64[/tex].

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Answer:

[tex]\frac{\pi }{3}[/tex]

Step-by-step explanation:

[tex]sin^{-1}(\frac{\sqrt{3} }{2})[/tex]

In, 30-60-90 degree triangle ,

the sides are in the ratio [tex]1: \sqrt{3} :2[/tex]

[tex]sin(60)= \frac{opposite}{hypotenuse}[/tex]

for 60 degree, opposite side = square root (3)

hypotenuse = 2

So [tex]sin(60)= \frac{\sqrt{3}}{2}[/tex]

when we move sin to the other side then it becomes sin^-1

[tex]60= sin^{-1}\frac{\sqrt{3}}{2}[/tex]

angle 60 degree is [tex]\frac{\pi }{3}[/tex]

[tex]sin^{-1}(\frac{\sqrt{3} }{2})=\frac{\pi }{3}[/tex]

The expression that is equivalent to sin⁻¹(sqrt. 3/2) is π/3.

The expression that is equivalent to another is one that yields the same output no matter the arrangement of the figures and signs.

For the expression,  sin⁻¹(sqrt. 3/2), the equivalent can be obtained thus;

sin 60 = opposite/hypotenuse

sin 60 = √3/2

60 = sine⁻¹√3/2

=  π/3.

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Answer:

B. ma

Step-by-step explanation:

In a circle, equal chords are equidistant from the centre.

In the given circle, OE = JR = 3.8.

Therefore, chords OE and JR are equal.

Hence, they should be equidistant from the center.

Their distances from the center are:

ML and MA

So, ML is congruent to MA.

Answer:  The correct option is (A) 42.7 units.

Step-by-step explanation:  Given that the radius of the circle center at O is 24 units and OC is 11 units.

We are to find the length of chord AB.

We have,

in the right-angled triangle OCB (m∠OCB = 90°),

OB = 24 units and OC = 11 units.

Using Pythagoras theorem in ΔOCB, we have

[tex]OB^2=OC^2+BC^2\\\\\Rightarrow BC=\sqrt{OB^2-OC^2}\\\\\Rightarrow BC=\sqrt{24^2-11^2}\\\\\Rightarrow BC=\sqrt{576-121}\\\\\Rightarrow BC=\sqrt{455}\\\\\Rightarrow BC=21.33.[/tex]

Since OC is perpendicular to chord AB, so AC = BC.

Therefore, we get

[tex]AB=AC+BC=2\times BC=2\times 21.33=42.66=42.7.[/tex]

Thus, the required length of AB is 42.7 units.

Option (A) is CORRECT.

Final answer:

The sample size is calculated to be 200 based on the percentage for Candidate A. From the sample, 120 students said they will vote for Candidate C. Predicting based on this sample, 1,500 students in the school will vote for Candidate C.

Explanation:

To find the number of students in the sample who said they will vote for Candidate C, we need to use the percentages given for each candidate. If Candidate A is 25%, Candidate B is 15%, and Candidate C is 60%, and knowing that 50 students in the sample voted for Candidate A, we can determine the total sample size. Since Candidate A represents 25% of the sample, we can calculate the total sample size using the equation 50 = 0.25 × (total sample size). Solving for total sample size gives us 200.

With the sample size known, we can calculate the number of students who said they will vote for Candidate C by taking 60% of 200, which is 120 students in the sample. To predict the number of students in the school who will vote for Candidate C, we use the proportion of the sample who choose Candidate C to estimate the proportion for the entire school population. Since there are 2,500 students in the school, we predict that 60% of 2,500 will vote for Candidate C, which amounts to 1,500 students.

Answer:

The linear equation that represent the situation is [tex]x=20-0.75(10+2)[/tex]

The remaining balance on his gift card is [tex]\$11[/tex]

Step-by-step explanation:

Let

x------> represents the remaining balance

we know that

The linear equation that represent the situation is equal to

[tex]x=20-0.75(10+2)[/tex]

Solve

[tex]x=20-0.75(12)[/tex]

[tex]x=20-9[/tex]

[tex]x=\$11[/tex]

Answer:

its B

Step-by-step explanation:

ayeee i know you i think

Answer:

the answer would be A B and D

Step-by-step explanation:

had to figure it out myself -.-

The bin should contain 30 rock CDs, which constitutes half of the total CDs (60). This conclusion is reached by dividing the total number of CDs by 2, as the question implies an equal probability of picking a rock or classical CD.

The question pertains to the concept of probability in mathematics. Here, the total number of CDs is specified as 60. If choosing a rock CD has the same number of favorable outcomes, it means that half of the CDs are rock CDs (as the other half would then be classical CDs). So, to find the number of rock CDs in the bin, you simply divide the total number of CDs by 2. Here, 60 CDs divided by 2 equals 30. Thus, there are 30 rock CDs in the bin.

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The area of the actual playground is [tex]\( 15000 \)[/tex] square feet. To solve this problem, we need to understand the relationship between the scale drawing and the actual playground dimensions.

Let's denote:

- [tex]\( l \)[/tex] as the length of the scale drawing,

- [tex]\( w \)[/tex] as the width of the scale drawing,

- [tex]\( L \)[/tex]  as the length of the actual playground, and

- [tex]\( W \)[/tex] as the width of the actual playground.

Given that the dimensions of the actual playground are 50 times the dimensions of the scale drawing, we have the following relationships:

[tex]\[ L = 50l \][/tex]

[tex]\[ W = 50w \][/tex]

We are given that the area of the scale drawing is 6 square feet. The area of a rectangle is given by the formula [tex]\( \text{Area} = \text{length} \times \text{width} \).[/tex] So, for the scale drawing:

[tex]\[ \text{Area of scale drawing} = l \times w = 6 \][/tex]

Now, we need to find the length and width of the actual playground and then calculate its area.

From the relationship between the actual playground and the scale drawing, we have:

[tex]\[ L = 50l \][/tex]

[tex]\[ W = 50w \][/tex]

So, we can express [tex]\( l \) and \( w \)[/tex] in terms of [tex]\( L \) and \( W \)[/tex]:

[tex]\[ l = \frac{L}{50} \][/tex]

[tex]\[ w = \frac{W}{50} \][/tex]

Now, let's substitute these expressions into the equation for the area of the scale drawing:

[tex]\[ \text{Area of scale drawing} = \left(\frac{L}{50}\right) \times \left(\frac{W}{50}\right) = 6 \][/tex]

[tex]\[ \frac{L \times W}{2500} = 6 \][/tex]

To find the area of the actual playground, we need to solve for [tex]\( L \times W \):[/tex]

[tex]\[ L \times W = 6 \times 2500 = 15000 \][/tex]

Therefore, the area of the actual playground is [tex]\( 15000 \)[/tex] square feet.

for 1 i got $945.

For 2 i got $826.80.

For 3 i got c.

For 4 i got $2.16.

For 5 i got $52.50

A radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. Set up the formula for the area of a circle. The formula is A = π r 2 it equals the area of the circle, and r equals the radius.

Solve for the radius.

Plug the area into the formula.

Divide the area by.

Take the square root.

Hence, the tax rate is [tex]8[/tex]%.

What is the tax rate?

A tax rate is a percentage at which an individual or corporation is taxed.

The United States, both the federal government and many of the states, uses a progressive tax rate system, in which the percentage of tax charged increases as the amount of the person's or entity's taxable income increases.

Here given that,

Lamar buys $[tex]75[/tex] worth of clothes. He pays $[tex]81[/tex],including sales tax.

So,

Sales Tax = $[tex]81[/tex] - $[tex]75[/tex]

= $[tex]6[/tex]

Then the Sales Tax Rate

= [tex]\frac{6}{75}[/tex]  × [tex]100=8[/tex] %

Hence, the tax rate is [tex]8[/tex]%.

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There is no such sum of two numbers that is a prime number and less than 4.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

It is not possible to have a sum of two numbers that is a prime number and less than 4.

The only possible sums of two numbers less than 4 are:

1 + 1 = 2

1 + 2 = 3

2 + 2 = 4

Out of these, only 2 and 3 are prime numbers.

However, the sum of any two numbers less than 4 that is equal to 2 or 3 necessarily involves at least one number equal to 1, and 1 is not a prime number.

Therefore,

There is no such sum of two numbers that is a prime number and less than 4.

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