A school event requires at least 3 parents for every 8 kids. How many parents for 40 kids



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Answer: 340

Step-by-step explanation: +the answer is $340 to find the answer you need to take $600 and since its twice the cost plus $40 you divide $600 by 2 then you add $40 $600/2 +$40=$340

Answer: The Answer Is $340

Step-by-step explanation:

The computation shows that the the hospital in-patient admission rate for the employees of the Prendergast Corporation is 104.5 admissions per 1000 employees.

The in-patient admission rate for Ramsey Manufacturing company = 100 admissions per 1000 employees.

It is given that the in-patient rate of Prendergast will be 10% higher than Ramsey's.

So, in-patient rate of Prendergast:

= 100 + 10% of 100

= 110 admissions

Now, it is also given that out of total in-patients, 5% are for tonsillectomies (which are not in-patient).

So, in-patient admission rate for Prendergast:

= 110 - 5% of 110

= 110 - 5.5

= 104.5 admissions per 1000 employees

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Complete question:

The hospital in-patient admission rate for employees of the Ramsey Manufacturing Company is 100 admissions per 1000 employees per year.

The Prendergast Corporation has older employees and is told that its hospital in-patient admission rate will be 10% higher than Ramsey’s. At the same time, however, all tonsillectomies will be done in the hospital’s outpatient department instead of requiring the patient to be admitted as an in-patient. Given that 5% of all in-patient admissions are for tonsillectomies, what is the hospital in-patient admission rate for the employees of the Prendergast Corporation?

A. 110.0 B. 115.0 C. 109.5 D. 100.0 E. 104.5 F. 117.0

Answer: A)12

Step-by-step explanation:

The line YZ must be half the size of the line QS, so double the length of YZ should be equivalent to the value of QS

2(x+2)=2x+4

Now we can set them equal to each other and solve for x

\(2x+4=3x-8\\2x+4+8=3x-8+8\\2x+12=3x\\2x-2x+12=3x-2x\\12=x\)

Answer:

First term = -8.5.

Common difference = 7.

Step-by-step explanation:

The third term = a1 + 2d where a1 = first term and d is the common difference so we have

a1 + 2d + a1 + 3d = 18

2a1 + 5d = 18............(1)

Also:

7th term - 5th term = 14 giving

a1 + 6d - ( a1 + 4d) = 14

2d = 14

d = 7.

So the common difference is 7 and substituting for d in (1) we have:

2a1 + 5*7 = 18

2a1 =  18-35 = -17

a1 = -8.5.

The first term and the common difference of the sequence are -8.5 and 7 respectively.

The sum of the 3rd term and 4th term of an arithmetic sequence is 18.

Using Arithmetic progression formula,

aₙ = a + (n- 1)d

where

n = nth term

a = first term

d = common difference

a₃ = a + 2d

a₄ = a + 3d

Therefore,

a + 3d + (a + 2d) = 18

2a + 5d = 18

The 7th term exceeds the 5th term by 14. Therefore,

a₅ = a + 4d

a₆ = a + 6d

a + 6d - (a + 4d) = 14

a + 6d - a - 4d  = 14

2d = 14

d = 14 / 2

d = 7

2a + 5d = 18

2a + 5(7) = 18

2a + 35 = 18

2a  = 18 - 35

2a = -17

a = -17 / 2

a = -8.5

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Step-by-step explanation:   \(2x^{2} +3x+5=0\\\\x=-3±\sqrt{b^{2}-4ac} /2a\\x=-3±\sqrt{3^2-4*2*5/2*2}\\\\x=-3/4 ± \sqrt{31} * (1/4*i)\\x=-3/4 + \sqrt{31} * (-1/4*i)\\\)

Answer: Using the Quadratic Formula, the answer would be x = -3/4 + \sqrt{31} * ([-]1/4*i)

Grogg's dad is currently 52 years old.

Let's represent Grogg's current age as "g" and Grogg's dad's current age as "d".

From the given information, we can set up two equations based on the conditions:

Seven years ago, Grogg's dad was 6 times as old as Grogg:

d - 7 = 6(g - 7)

Two years ago, Grogg's dad was 4 times as old as Grogg:

d - 2 = 4(g - 2)

To solve this system of equations, we can simplify and solve for one variable in terms of the other.

From equation 1, we can expand and simplify:

d - 7 = 6g - 42

d = 6g - 35

Substituting this expression for "d" into equation 2, we have:

6g - 35 - 2 = 4(g - 2)

6g - 37 = 4g - 8

6g - 4g = 37 - 8

2g = 29

g = 14.5

Now, we can substitute the value of "g" back into equation 1 to find "d":

d = 6g - 35

d = 6(14.5) - 35

d = 87 - 35

d = 52

Therefore, Grogg's dad is currently 52 years old.

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Answer:

Step-by-step explanation:

The proportional relationship formula for this situation is:

We just substituted k with 10 to represent hourly earning.

Let hours be x

Hence the expression is

\(\\ \sf\longmapsto y=10x\)

The length of the guy wire is equal to 48 ft.

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given here: Distance of stake to the pole=14 feet and Distance from the pole to the tower as =25 ft. And height of the pole=10 feet.

Now let the angle that the guy wire makes with the stake is θ

Then we have Tanθ= 10/14

                                 =5/7

Again we also have Tan θ= height of the tower /base of the tower

Thus h/39=5/7 ( where h is the height of the tower).

    or, h=27.85

 Therefore using pythagoraes theorem we get the length of the wire as

=\(\sqrt{27.85^2+39^2}\)

=47.92 feet or 48 ft. (Approx)

Hence, The length of the guy wire is equal to 48 ft.

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Answer:

21

Step-by-step explanation:

1 side = 6 plants (including one in the corner)

3 sides = 5 plants each

6+15 = 21

The volume of the tower is 224 in³, which is not listed among the given options.

To find the volume of the rectangular block, we need to multiply its length, width, and height. Therefore, the volume of the single block is:
8 x 3.5 x 2 = 56 cubic inches.
Since we are stacking four blocks to create a tower, we need to multiply the volume of a single block by 4.

Thus, the volume of the tower is:
56 x 4 = 224 cubic inches.
The volume of a rectangular block can be found using the formula,

V = length × width × height.

In this case, the length is 8 inches, the width is 3.5 inches, and the height is 2 inches.

V = 8 × 3.5 × 2 V

= 28 × 2 V

= 56 in³

Now that we know the volume of one block, we can find the volume of the tower created by stacking four blocks. Tower volume = block volume × number of blocks Tower volume = 56 in³ × 4 Tower volume = 224 in³

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Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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The amount of mail that is remaining for Bobby to deliver is = 1/10.

Fraction is defined as the representation that shows part of an expression which is usually represented by a numerator and a denominator.

The numerator is usually located above the division line while the denominator is located below the division line.

From the given value for the number of mails delivered which is = 9/10. This shows that out of 10 mails only 9 has been delivered remaining 1 mail.

Therefore, 1/10 of the mail is yet to be delivered.

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If rectangle has an area of 114cm squared and a perimeter of 50 cm, the dimensions of the rectangle are approximately 5 cm by 22.8 cm.

Let's assume the length of the rectangle is "l" and the width is "w". We can start by using the formula for the area of a rectangle, which is A = lw. From the given information, we know that the area is 114cm².

So, we have:

lw = 114

Next, we can use the formula for the perimeter of a rectangle, which is P = 2l + 2w. From the given information, we know that the perimeter is 50cm.

So, we have:

2l + 2w = 50

We now have two equations with two variables, which we can solve using substitution or elimination. Let's use substitution by solving the first equation for l:

l = 114/w

We can then substitute this expression for l in the second equation:

2(114/w) + 2w = 50

Multiplying both sides by w to eliminate the fraction, we get:

228 + 2w² = 50w

Rearranging and simplifying, we get a quadratic equation:

2w² - 50w + 228 = 0

We can solve for w using the quadratic formula:

w = [50 ± √(50² - 4(2)(228))]/(2(2)) ≈ 11.4 or 5

Since the length and width must be positive, we can discard the solution w = 11.4. Therefore, the width of the rectangle is approximately 5 cm. We can then use the equation lw = 114 to solve for the length:

l(5) = 114

l ≈ 22.8

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The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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Answer:

Step-by-step explanation:

it just means that the parabola never touches the x axis is all

Answer:

Step-by-step explanation:

!od

7x=96

Answer:

20 Kg

Step-by-step explanation:

let b represent the weight of 1 bag of sand

after using \(\frac{1}{4}\) of 1 bag there is \(\frac{3}{4}\) bag left along with the unused bag , then

\(\frac{3}{4}\) b + b = 35 ( multiply through by 4 to clear the fraction )

3b + 4b = 140

7b = 140 ( divide both sides by 7 )

b = 20

that is one full bag weighs 20 Kg

Answer: 3 dollars for a book.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Step-by-step explanation:

The answer is 5/6 ÷ 1/3 = 5/18

because

5/6 × 1/3 = 5/18 and it's true

Answer: x=10

Step-by-step explanation:

5x+3=53 subtract 3 from 3 and 53

5x=50 divide both sides by 5

50/5=10

now lets check to be sure

5*10=50+3=53

the solution is correct

hoped this help =)

Explanation

We are required to solve each equation till we arrive at the one that satisfies the "x=12" question.

First equation:

Second equation:

Third equation:

Last equation:

Hence, the last equation is the solution.

According to the information, this number on an abacus would look like this: tens of a thousand = 10,000, units of a thousand = 6,000, hundreds = 500, tens = 10, and units = 6.

To illustrate this value on an abacus we must find the number of this operation as shown below:

Now we must express it in an abacus, then we must separate each number by classifying it in the type of units to which it corresponds as shown below:

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Ok, so

Let me draw the situation here below:

For this problem, we have to use the trigonometric relations.

In this case, it would be useful to use sin(x).

Sin(x) relations the opposite side of the angle and the hipotenuse of the triangle so:

Sin(60) = (7√3) / c

And c = (7√3) / Sin(60)

Remember that sin(60) is a number, whose value is √3/2.

So,

And finally, c = 14 feet

The value of `near twentyfive` is approximately equal to 25.3 and is calculated by taking the square root of the product of `e` raised to the power of\($2\pi$\), and 30\($\pi$\).

The designation "e" for the natural logarithm's base, which is around 2.71, is provided by the math module. We must take the square root of the product of "e" raised to the power of $2 pi and of "30 pi" in order to determine the value of "near twentyfive." The mathematical notation for this is sqrt(e(2)pi, pi). 'near twentyfive' has a value that is roughly equivalent to 25.3. This is due to the fact that $e2pi$ is roughly equivalent to 19.7, and $30pi$ is roughly equivalent to 94.2. 1867.4 is the result of adding these two integers together, while 43.4 is the result of taking 1867.4 as its square root. Finally, when 43.4 is divided by 2, the result is 25.3

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Answer:

approx 3.3 miles

Step-by-step explanation:

The distance to the horizon from an observer on the ground depends on the observer's height above the ground. Since the skydiver is 1.4 mi above the ground, we need to take this into account when calculating the distance to the horizon.

To find the distance to the horizon, we can use the following formula:

distance = √(2 * height * Earth's radius + height^2)

where "distance" is the distance to the horizon, "height" is the observer's height above the ground, and "Earth's radius" is the radius of the Earth.

Since the Earth has a radius of approximately 3959 miles, we can plug this value into the formula to find the distance to the horizon from the skydiver's viewpoint:

distance = √(2 * 1.4 * 3959 + 1.4^2)

This simplifies to:

distance = √(10509.6 + 1.96)

which is equal to:

distance = √10561.56

Finally, we can round this value to the nearest tenth to get the final answer:

distance ≈ 3.3 mi

Therefore, from the skydiver's viewpoint, the distance to the horizon is approximately 3.3 miles.

Try again

The similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12

Similar shapes are two or more shapes that have the same shape, but different sizes. In other words, they have the same angles, but their sides are proportional to each other. When two shapes are similar, one can be obtained from the other by uniformly scaling (enlarging or reducing) the shape.

Given that the shape EFGH is a smaller shape of JKLM, and they are similar, then:

the measure of angle Z is equal to 65°

the side EF corresponds to JK and side FG corresponds to KL, so:

8/20 = 11/x

x = (11 × 20)/8 {cross multiplication}

x = 27.5

the side EF corresponds to JK and EH corresponds to JM, so:

8/20 = y/30

y = (30 × 8)/20 {cross multiplication}

y = 12

Therefore, the similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12

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Answer

Step-by-step explanation:

what's the question?

Answer:

The entire clock measures 360 degrees. As the clock is divided into 12 sections. The distance between each number is equivalent to 30 degrees (360/12)

I hope this helps you!