A cooking teacher needs to give each student in his class three eggs to use in a recipe. There are 44 students in the class. How many dozens should the teacher buy?

Given:

The compound inequality is:

[tex]2<x+5<7[/tex]

To find:

The integer solutions that satisfy the given inequality.

Solution:

We have,

[tex]2<x+5<7[/tex]

Subtracting 5 from each side, we get

[tex]2-5<x+5-5<7-5[/tex]

[tex]-3<x<2[/tex]

All the real numbers between -3 and 2 are in the solution set but -3 and 2 are not included in the solution set.

The integers between -3 and 2 are -2, -1, 0, 1.

Therefore, the integer solution of the given inequality are -2, -1, 0, 1. The answer as an inequality is [tex]-3<x<2[/tex].

Answer:

Eu não entendo inglês!!

Answer:

y = -1/3x + 7

Step-by-step explanation:

x + 3y = 9 ⇒ y = -1/3x + 3

Use point-slope form and substitute the values:

[tex]y-y_1=m(x-x_1)\\y-5=-\frac{1}{3}(x-6)\\y-5=-\frac{1}{3}x+2\\y=-\frac{1}{3}x+7[/tex]

Answer:

0.2143 = 21.43% probability that a contestant wins the game if he/she gets to select 4 of the buckets.

Step-by-step explanation:

The buckets are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

8 covered buckets, so N = 8.

4 buckets are selected, so n = 4.

2 contain a ball, which means that k = 2.

Find the probability that a contestant wins the game if he/she gets to select 4 of the buckets.

This is P(X = 2). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,8,4,2) = \frac{C_{2,2}*C_{6,2}}{C_{8,2}} = 0.2143[/tex]

0.2143 = 21.43% probability that a contestant wins the game if he/she gets to select 4 of the buckets.

Answer:

y = 4

Step-by-step explanation:

A horizontal line at

y = 4

is perpendicular to the y-axis and includes all values of x

Answer:

[tex]area = \pi {( \frac{d}{2}) }^{2} \\ = 3.14 \times {22}^{2} \div 4 \\ = 379.94 \: {yd}^{2} [/tex]

Answer:

150.72² yds

Step-by-step explanation:

We know that they want a 2 yd around the whole pool.  We also know that the diameter is 22yds (the raidus is therefore 11 yds).  We can solve this by first finding the area of the pool.  

3.14 × 11² = 379.94

Now we can solve for the area of the circle, with the 2 yd path around the whole pool.  We can do this by adding 2 yds to our radius.

3.14 × 13² = 530.66

Now our final step is to subtract the area of the pool from the area of the entire circle.

530.66 - 379.94 = 150.72

Therefore, the area of the walk is equal to 150.72 yds²

Answer:

18 inches

Step-by-step explanation:

A=L·H

108 in²=L·6 in

L=[tex]\frac{108}{6}[/tex]

L=18 inches

Answer:

-11/2 = x

Step-by-step explanation:

5-2(3-x)=4x+10

Distribute

5 - 6 +2x = 4x+10

Combine like terms

-1 +2x = 4x+10

Subtract 2x from each side

-1 +2x-2x= 4x-2x+10

-1 = 2x+10

Subtract 10 from each side

-1-10 = 2x+10-10

-11 = 2x

Divide by 2

-11/2 = 2x/2

-11/2 = x

Answer:

See below

Step-by-step explanation:

5 - 2 * (3 - x) = 4x + 10

5 - 6 + 2x = 4x + 10

-2x = 11

x = -5.5

Answer:

Hobbies give teenagers a chance to meet new people, discover new passions, develop skills outside of school, and do something all kids (yes, teens are part kid) should do: have fun. ... That's where hobbies come in. Hobbies are a great way for teens to form an identity outside their family.

Step-by-step explanation:

Answer:

ok ok ok ok ok ok ok ok

Step-by-step explanation:

i don't know

9514 1404 393

Answer:

  a) ADC

  b) ABC

  c) ACB

  d) CAD, DAB

  e) CDm, BDA

  f) ABD

Step-by-step explanation:

a) Any of the letters on lines going through point D could be used to name an angle with DC as one side. (Letters s and C would name an angle of measure zero, so might not be of interest.)

  ∠ADC has side DC

__

b) Any angle name with B in the middle will have B as its vertex.

  ∠ABD is an angle with vertex B

__

c) Ray CE is coincident with ray CD, so ...

  ∠ACE is another name for ∠ACD

__

d) Adjacent angles share a side, typically between the two angles. A linear pair of angles will be adjacent angles.

  ∠BAD and ∠CAD are adjacent angles

__

e) In order to properly name a pair of vertical angles, we need to be able to name two sets of opposite rays that share end points. Opposite rays emanate from points C and D, but no named points are seen outboard of those intersections. If we use 'm' as the name of a point on line m, then we can say a pair of vertical angles is ...

  CDm and BDA are two vertically opposite angles

__

f) The supplement to EBD will be the other angle that makes a linear pair with angle EBD. It is defined using point A on the ray opposite ray BE.

  ∠ABD is the supplement of ∠EBD

Answer:

17

Step-by-step explanation:

Not lying like other ppl

Answer:

x=-3

Step-by-step explanation:

because f(x) is "y" now because y is 6 if you look properly where the coordinate of y is 6 x is -3

Answer:

10yd

Step-by-step explanation:

area= 1/2bh

area=32yd²

b= 6.4, ¹/2b=3.2

therefore, 32= 3.2h

h= 32/3.2

= 10yd

Answer:

A

Step-by-step explanation:

edge 2021

The value of which of the mean will not be known for certain but can be inferred is called; Mu(μ)

When dealing with statistics, we have sample mean and population mean.

Sample mean is defined as the arithmetic mean of a random sample values drawn from the population. Meanwhile, Population mean is a mean that represents the actual mean of the whole population.

Sample mean is denoted as x-overbar while population mean is represented as μ.

Read more about Population Mean at; https://brainly.com/question/251701

#SPJ2

9514 1404 393

Answer:

  √145 ≈ 12.04

Step-by-step explanation:

The length of the space diagonal is the root of the sum of the squares of the prism edge lengths:

  d² = a² +b² +c² = 6² +3² +10² = 145

  d = √145 ≈ 12.04 . . . inches

__

The face diagonal is found using the Pythagorean theorem in the usual way:

  f² = a² + b²

The space diagonal is the hypotenuse of the right triangle whose sides are the face diagonal and the remaining edge:

  d² = f² +c²

  d² = a² +b² +c²

__

Here is a diagram.

Answer:

She can choose her electives in 20 ways.

Step-by-step explanation:

The order in which she chooses the courses is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

How many ways can she choose her electives?

3 electives from a set of 6. So

[tex]C_{6,3} = \frac{6!}{3!(6-3)!} = 20[/tex]

She can choose her electives in 20 ways.

Answer:

Step-by-step explanation:

g(r) = 0 ⇒ [tex]r^{2} -2r-17=0[/tex]  ⇒r=[tex]1+3\sqrt{2}[/tex]và r=[tex]1-3\sqrt{2}[/tex]

Answer:

b = 29.0, A = 123.9°, C = 20.1°

9514 1404 393

Answer:

  b = 29.0; A = 123.9°, C = 20.1°

Step-by-step explanation:

The given angle lies between the given sides, so the Law of Cosines is the appropriate relation.

  b² = a² +c² -2ac·cos(B)

  b² = 1681 +289 -1394cos(36°) ≈ 842.2303

  b ≈ √842.2303 ≈ 29.021

__

The Law of Sines can be used to find angle C:

  sin(C)/c = sin(B)/b

  C = arcsin(c/b·sin(B)) = arcsin(17/29.021×sin(36°))

  C ≈ 20.1°

  A = 180° -36° -20.1° = 123.9°

The remaining side and angles are ...

  b ≈ 29.0; A ≈ 129.9°; C ≈ 20.1°

_____

Additional comment

By choosing to find the smaller angle C first, we avoid having to deal with the ambiguity associated with the arcsine when the angle is greater than 90°.

Answer:

35° Celsius

Step-by-step explanation:

Answer:

45 percent

Step-by-step explanation:

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: x = ±8}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

➺ [tex] {x}^{2} = 64[/tex]

➺ [tex] \: x = \sqrt{64} [/tex]

➺ [tex] \: x = \sqrt{8 \times 8} [/tex]

➺ [tex] \: x = \sqrt{ ({8})^{2} } [/tex]

➺ [tex] \: x = ±8[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

x = 63, y = 27

Step-by-step explanation:

x and 117 are adjacent angles and sum to 180°

x + 117 = 180 ( subtract 117 from 180 )

x = 63

x and y sum to 90°

x + y = 90

63 + y = 90 ( subtract 63 from both sides )

y = 27

Answer: x=63 y= 27

Step-by-step explanation:

180-117=63

x+y=90

63+y=90

90-63 = 27

hope this helps :)

Answer:  1 in 18

This is the same as writing the fraction 1/18

==============================================================

Explanation:

Since she has 36 marbles total, and the probability of picking green is 1 in 2, this means (1/2)*36 = 18 marbles are green.

Then she also has (1/3)*36 = 12 red marbles and (1/9)*36 = 4 blue marbles.

So far, that accounts for 18+12+4 = 34 marbles in all. That leaves 36-4 = 2 marbles left over that must be black, as it's the only color left.

From that, the probability of choosing a black marble is 2/36 = 1/18.

There's a 1 in 18 chance of Maddy picking a black marble.

1/18 = 0.0556 = 5.56% approximately

Answer:

b = 19 inches

h = 5 inches

A =  95 inches^2

Step-by-step explanation:

The area is given by

A = bh  where b is the base and h is the height

b = 19 inches

h = 5 inches

A = 19 inches * 5 inches =  95 inches^2

Answer:

91.8 feet^3

Step-by-step explanation:

We can find out the area of a circle and then multiple that by the height to get the volume of the tree trunk (which is a cylinder).

Area of circle formula: pi x r^2

3.14 x 1.5^2 = 7.065

Now we can multiple it by the height and round to the nearest 10th.

7.065 x 13 = 91.845

91.845 -> 91.8

Hope this helps! Brainliest?

Answer:

Step-by-step explanation:

Givens

h = 13 feet

r = 1.5 feet

pi = 3.14

Equation

V = pi r^2 *h

V = 3.14 * 1.5^2 * 13

V = 91,8 cubic feet.

Answer: [tex]72.95 =6.00+5.15x[/tex]  , Required equation

The number of  people Mark invited to the party = 13

Step-by-step explanation:

According to the question,

Total amount spent = (Price of bunch of ballons)+(cost per gift) x (Number of persons)

Given: Total amount spent =$72.95 , Price of bunch of ballons =$6.00 ,

cost per gift =$5.15

thus,

[tex]72.95 =6.00+5.15x[/tex]  , Required equation

To solve , first

subtract 6 from both sides, we get

[tex]66.95=5.15x\\\\\Rightarrow\ x=\dfrac{66.95}{5.15}\\\\\Rightarrow\ x=13[/tex]

The number of  people Mark invited to the party = 13

Answer:

10

Step-by-step explanation:

We know there are 5 quarts.

There are 2 pints for each quart.

This can be though of as a ratio of:

2 : 1

There are 5 quarts, which is 5 times bigger than the ratio of 1.

So this means we need to mutliply both sides of the ratio by 5, to make the quarts equivelent to 5:

2*5 : 1*5

=

10 : 5

So for every 5 quarts there are 10 pints.

Hope this helps!

Answer:

3/14

Step-by-step explanation:

1st subtract the y's

the subtract the x's in the same order

-9 - 5 = -14

put the first result over the second

-3/-14 = 3/14

Answer:

94 marbles

Step-by-step explanation:

46 green marbles + (6 bags x 8 pieces of marbles) = 94 marbles

Step-by-step explanation:

You can prove it by pythegoras use unit and you will get

Ef=gh

And FG=EH