The ratio of boys to girls in the entire 7th grade is 7 to 8. Given this ratio, which two class compositions are possible?

A. 40 boys; 35 girls

B. 48 boys; 42 girls

C. 56 boys; 64 girls

D. 67 boys; 68 girls

E. 84 boys; 96 girls

The equivalent expression to -1/3-(-5/12) is 1/12.

From the information, the expression given is -1/3-(-5/12).

Therefore, this will be computed thus:

= -1/3-(-5/12)

= - 1/3 + 5/12

= 5/12 - 1/3

= 5/12 - 4/12

= 1/12

Therefore, the equivalent expression to -1/3-(-5/12) is 1/12.

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Answer: get a verified 340

Step-by-step explanation:

Answer:

f(8) = 108

Step-by-step explanation:

Hello!

Substitute 8 for x in the equation.

f(8) is 108.

The length of the side EF will be 18 inches as the sides opposite to the equal angles are also equal.

We are given a triangle EFG.

In this triangle, we can see that:

∠ E = ∠ F = 23°

Now, we know that the sides opposite to the equal angles are also equal.

So, the side opposite to angle E is GF

And the side opposite to angle F is EF.

This means that EF will be equal to GF.

EF = GF

Now, we are also given that GF = 18 inches.

So, EF will also be:

EF = 18 inches.

Therefore, we get that, the length of the side EF will be 18 inches as the sides opposite to the equal angles are also equal.

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Answer:

horizontal shift 5 units left

Vertical shift 1 unit down

reflection on the x-axis: Reflected

Vertical stretch: stretched

Step-by-step explanation:

The intersection of three sets A,B and C is {₋2 , 11}.

Given set A = {₋2,7,8,11}

set B = {₋2,7,11}

set C = {₋2,8,11}

we need to find A∩B∩C.

The components shared by all the sets A, B, and C are given by the intersection of A and B as a set. A ∩ B ∩ C is a notation that can be used to indicate the intersection of A, B, and C.

To obtain A intersection B intersection C, first determine the common elements of sets A and B, or A ∩ B. Then determine the common elements of sets B and C, or B ∩ C. Finally, compute the common elements of these two results.

we first find:

A∩B = {₋2,7,8,11} ∩  {₋2,7,11}

=  {₋2,7,11}

then B ∩ C =  {₋2,7,11} ∩  {₋2,8,11}

= {₋2 , 11}

now (A∩B) ∩ (B∩C) =  {₋2,7,11} ∩ {₋2 , 11}

= {₋2 , 11}

hence we get the intersection of three sets as {₋2 , 11}

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Based on the number of seals that were tagged near Avila Beach, the approximate number of seals near Avila Beach is 44 seals

The number of seals near Avila beach can be said to be x. If it is x, then the formula is:
12 = 27% x ×

27%x = 12

0.27x = 12

Solving for x then gives:

x = 12 / 0.27

x = 44.44

= 44 seals

In conclusion, there are approximately 44 seals near Avila beach.

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Answer:

50.96 days can be rounded to 51

73381
1223
51

Step-by-step explanation:

Too bad I can't see the choices. I will give the numbers both as exact figures rounded to integers and you have to choose the closest to these.

Part A

50.96 days

Part B

6.6043 x 10⁵ gallons at 9 gallons per minute = (6.6043 x 10⁵)/9 = 660,430/9 = 73,381.11 gallons per minute  rounded to 73,381 minutes

73,381 minutes = 73,381 /60 = 1223.02  hours 1223  hours

1223 hours = 1223/24 = 50.96 days rounded to 51 days

Hope that helps. Ask if you need further info

The specific volume is 0.0135 ft^3

The density is 74.07 lb/ft^3

Here,

A 2-lb sample of an unknown liquid occupies a volume of 47.6 in^3.

We have to find the specific volume and density.

What is Specific volume?

Volume is a measure of the amount of space occupied by an object.

Now,

Mass = 2 lb

Volume = 47.6 in^3

            = 0.027 ft^3

Hence, Specific volume = volume/ mass = 0.027/2 = 0.0135 ft^3

And, Density = mass/ volume = 2/ 0.027 = 74.07 lb/ft^3

So, The specific volume is 0.0135 ft^3

The density is 74.07 lb/ft^3

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Check the picture below.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2 + b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{7}\\ b=\stackrel{opposite}{\sqrt{95}}\\ \end{cases} \\\\\\ c=\sqrt{7^2~~ + ~~(\sqrt{95})^2}\implies c=\sqrt{49+95}\implies c=\sqrt{144}\implies c=12 \\\\[-0.35em] ~\dotfill\\\\ sin(C )=\cfrac{\stackrel{opposite}{\sqrt{95}}}{\underset{hypotenuse}{12}}\implies sin(C)\approx \text{\LARGE 0.81}[/tex]

Answer:

1. x = 9

2. x = 4

3 x =

4. x = 10

5. x =

6. x = 11

7. x = -1

8.x =

9. x = -4

10. x =

11. x = 10

12.x = -10

When compared to other scheduling methods for real-time systems, EDF is quite effective. It can maintain all work deadlines while increasing CPU utilization to around 100%.

The earliest deadline first (EDF) algorithm is a dynamic priority scheduling algorithm that is used in real-time systems.

EDF is an optimal algorithm, it will schedule a task set if possible. EDF is also independent of the task's period and can be used to schedule aperiodic tasks because it makes no assumptions about job periodicity. If two jobs have the same absolute deadline, choose one at random.

When compared to fixed priority scheduling techniques such as rate-monotonic scheduling, EDF can guarantee all system deadlines at higher loading. On non-preemptive uniprocessors, EDF is also an optimal scheduling algorithm, but only among scheduling algorithms that do not allow inserted idle time.

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The total amount spent on gas is $9.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. Multiplication is the method that is used to add a number by itself a particular number of times. The sign used to denote multiplication is x. Other mathematical operations are subtraction, division and addition.

In order to determine the total amount spent on gas, multiply the cost of one gallon by the number of hours skied and the amount of galloons used per hour.

The total amount spent on gas = cost of one gallon of gas x number of hours skied x number of gallons used per hour

2 x 3 x $2.25 = $9

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Answer:

Step-by-step explanation:

The total amount spent on gas is $9.How much is spent on gas?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. Multiplication is the method that is used to add a number by itself a particular number of times. The sign used to denote multiplication is x. Other mathematical operations are subtraction, division and addition. In order to determine the total amount spent on gas, multiply the cost of one gallon by the number of hours skied and the amount of galloons used per hour. The total amount spent on gas = cost of one gallon of gas x number of hours skied x number of gallons used per hour 2 x 3 x $2.25 = $9To learn more about multiplication, please check:

Answer:

a) P(X < 24) = 0.1151

b) P(24 < X < 36) = 0.7698

c) X value for P(x < X) = 0.95 is X = 38.225

Step-by-step explanation:

a) P(X < 24)

Since μ = 30  and   σ = 5 we have:

[tex]\text {z value = } \dfrac{24-30}{5}} = -1.2[/tex]

P(X < 24) =  P(Z < -1.2) = 0.1151
You can use a calculator or the standard normal tables to determine P(Z < -1.2)

b) P(24 < X < 36)

First find P(X < 36) using the technique detailed in part a)

For 36, the Z value is  
[tex]\dfrac{36-30}{5} = 1.2[/tex]

P(X < 36) = P(z < 1.2) = 0.8849

P(24 < X < 36) = P(X < 36) - P(X < 24) = 0.8849 - 0.1151 = 0.7698

c) X value below which 95% of the area is covered

Using a calculator (or tables) the z value corresponding to P(z < Z) = 0.95 is Z = 1.65(approx)

[tex]\text{We have } \dfrac{X - \mu}{\sigma} = z\\\\\dfrac{X - 30}{5} = 1.645\\\\\text{Multiplying both sides by 5: }\\\\X - 30 = 1.645 \times 5 = 8.225\\\\X = 30 + 8.225 = 38.225[/tex]

So X value is 38.225-

Answer:

15.75

Step-by-step explanation:

1/2 * b*h*l

1/2 * 4.5 * 3.5 * 2

Answer:

10.5

Step-by-step explanation:

Firstly, you must multiply the length and width of the rectangular base to get its area.

Then, you certainly must multiply the base area with the height of the pyramid.

Last but not least, divide the result from step 2 by three, and you will get the volume of a rectangular pyramid.

62°

A line is a simple, one-dimensional shape that can go on forever in the opposing directions. A line may be vertical or horizontal. It can be drawn either top to bottom or left to right.

When the ends of two rays collide at a single location, an angle is the geometry that results. They are measured in degrees (°) or radians. A 360-degree angle is the same as a whole rotation. It is symbolized by the character "∠"

∠1+∠2 = 35° +27°

             =62°

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The inequality 20 ≥- 3.2(c - 4.3) can be represented as c  ≥ -1.95

The inequality is given as:

20 ≥- 3.2(c - 4.3)

Divide both sides of the inequality by -3.2

So, we have:

20/-3.2 ≥ -3.2(c - 4.3)/-3.2

Evaluate the quotient

-6.25 ≤ (c - 4.3)

Remove the bracket in the above inequality

So, we have:

-6.25 ≤ c - 4.3

Rewrite the above inequality as

c - 4.3 ≥ -6.25

Add 4.3 to both sides of the inequality

c  ≥ -1.95

This means that the inequality 20 ≥- 3.2(c - 4.3) can be represented as c  ≥ -1.95

See attachment for the graph of the inequality

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The total goal distance Sarah run is 7/8.

The distance covered by Sarah is found to be more than Tori.

A number's exponent indicates what many times a number has been multiplied by itself. For instance,  2×2×2×2 can be composed as 2⁴.

If a fraction does have a negative exponent, we take its reciprocal to make this same exponent positive.

If a fraction does have a negative exponent, we take its reciprocal to create the exponent positive.

Some properties of exponents are-

Now, as pet the given question;

Tori has covered 2⁻³ of the total distance;

Thus, it can be written as;

= 1/2³

= 1/8

Lets consider the total distance covered by both of them is 1.

Then, the distance covered by Sarah will be;

= 1 - 1/8

= 7/8

Thus, the distance covered by Sarah is 7/8.

As, 7/8 > 1/8

Therefore, the distance covered by Sarah is more than Tori.

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The time it will take for the money in the bank to reach a total of 29500 dollars would be = 30 years.

To calculate the time for the interest compounded annually the formula below is used:

Simple interest = principal× time×rate/ 100

Simple interest = principal× time×rate/ 100Simple interest = total amount in the bank - principal amount

= 29500 - 10000

= $19,500

Principal = $10000

Rate = 6.5%

Time = ?

From the given formula, make t that subject of formula;

T = $19,500 ×100/$10000×6.5

T = 1950000/65000

T = 30 years.

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The percentage of fat in this hamburger sample is 15 %.

Percentage is the value per hundredth.

According to the given question a sample of hamburger had a total mass of 200. g, of which 30.0 g was found to be fat.

To find what percentage of the hamburger contains fat we put amount of fat in the numerator and total amount on the denominator and multiply this fraction by 100 to obtain the result in terms of percentage.

∴ (30/200) × 100

= 3000/200

= 30/2

= 15 %.

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Based on the baths, nail trims, brush-outs, and ear cleanings the pet groomer gave, for every 5 nails, the groomer gave 3 baths.

The pet groomer gave out a total of 15 nail trims. To find out the service that the pet groomer gave 3 of for every 5 nail trims, find out the number that takes 15 nail trims to 5 nail trims and then use this number to divide the number of the other services given.

The service that comes to a quantity of 3 would be the answer.

= 15 nail trims / 5

= 3

Use 3 to divide the rest. When baths are divided by 3 we get:

= 9 / 3

= 3 baths

In conclusion, for every 5 nail trims, the groomer gave out 3 baths.

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The linear equation to calculate the height is H(t)=33t.

Given that the elevator descends at the speed of 33 feet/second.

If a person gets on the elevator at the observer deck and after 10 seconds he finds himself at 1490 feet above the ground then height descended  in 10 seconds= 33×10

                                         = 330 feet

The height of the observer deck from the ground = 1490+330

                                                                             = 1820 feet

The required equation to calculate the height of above the ground H(t)=33t.

We can calculate  the height of the elevator at any instant using the above expression.

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The given triangle is 6.5 ft2.

Having three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object. A polygon includes a triangle. Triangles have three sides. The sides of the triangle ABC are AB, BC, and CA.

The given triangle can be redraw as

Area of the rectangle is (39/2) × 48 (in)2 = 936 in2

1 ft = 12in

1/12 ft = 1in

(in)2 = (1/12)2 (ft)2

          = 1/144 (ft)2

936 (in)2 = 936 × 1/144 (ft)2

          =6.5 (ft)2

Hence, the given triangle is 6.5 ft2.

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The solution of the given linear equation 2r−2p= n in two variables for p is r -n/2.

According to the given question.

We have a linear equation in two variables 2r - 2p = n.

Here we have to solve the given linear equation 2r - 2p = n in two variables for p.

So, the solution of the equation 2r - 2p = n for p is given by

2r - 2p  = n

⇒ 2(r - p) = n    (taking 2 as a common)

⇒ r - p = n/2     (dividing both the sides by 2)

⇒ r - n/2 - p = 0     (subtracting n/2 from both the sides)

⇒ r - n/2 = p            (adding p both the sides)

⇒ p = r -n/2

Hence, the solution of the given linear equation 2r−2p= n in two variables for p is r -n/2.

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Blaise Pascal invented the statistical method known as regression. False. The author learned through the reading that adding a bathroom increases home prices more than adding a bedroom does.

What does a statistical regression mean?

What does regression mean?

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Answer:

Step-by-step explanation:

Discussion

The numbers on each die are 1 to 6.

They are all equally likely to turn up. There are 36 possibilities in all 6*6

So getting a 10 can be done in 3 ways.

6 + 4 = 10

4 + 6 = 10

5 + 5 = 10

You can't get 10 any other way.

So of the 36 ways of throwing 2 dice, only 3 will work.

Answer

P(10)= 3/36 = 1/12 = 0.0833333...

The function shows that the cost of hotdogs is 1.75 and the cost of hamburger is 1.5.

Let hotdogs = h

Let hamburger = x

The expression will be:

h + x = 3.25

h + 7x = 12.25

Subtract the functions

6x = 9

x = 1.5

Therefore, hot dogs will be:

= 3.25 - 1.5

= 1.75

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At a concession stand, one hot dog and one hamburger cost $3.25; one hot dog and seven hamburger cost $12.25. Find the cost of one hotdog and the cost of one hamburger.

Each child would get 1/12 th part of the whole watermelon.

For given question,

8 children have to share two thirds of a watermelon equally .

This means we need to equally distribute 2/3 of whole watermelon to 8 children.

To divide 2/3 part of of a watermelon equally into 8 parts, we need to divide 2/3 by 8.

(2/3) ÷ 8

= [tex]\frac{(\frac{2}{3} )}{8}[/tex]

We know that in 8 = 8/1

So, we rewrite the denominator of above fraction as,

[tex]\frac{(\frac{2}{3} )}{8} \\\\= \frac{(\frac{2}{3} )}{(\frac{8}{1} )} \\\\=\frac{2}{3} \times \frac{1}{8} \\\\=\frac{1}{12}[/tex]

This means, each child will get 1/12 part of the whole watermelon.

Therefore, each child would get 1/12 part of the whole watermelon.

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Answer:

x = 5

Step-by-step explanation:

3x + 15 = 30  Subtract 15 from both sides of the equation

3x = 15  Divide both sides by 3

x = 5