There is 1/3 of a pan of cornbread left. Four children are going to share it equally. What fraction of the whole pan of cornbread will each child get?

Step-by-step explanation:

There are 36 equally likely pairs: (1,1);(1,2);(1,3),…(6,4);(6,5);(6,6). The corresponding sums: 2,3,4,….10,11,12. are best observed with an addition table for 1-6 with 1-6. 3 is simple enough because only (1,2) and (2,1) can sum to 3. So P= 2/36 = 1/18. P(SUM =4) = 3/36 because (1,3);(2,2);(3,1) are the only pairs that sum to 4. The best way to see this is look at the first die. To get a sum of 4, the first die must be 1,2 or 3. Each of those first rolls forces one outcome for the second die. P(10) = 3/36 because the first die must be 4,5,or6.

Answer:

Line A.

Step-by-step explanation:

When you put x as zero into 3x-2, you get 3(0)-2. That equals -2. Therefore, y = -2. When x=0, that is the y-intercept, so the y-intercept is -2. Line A crosses the y-axis at -2, so line A has that y-intercept.

Slope is always y/x. On a graph, that is the number of squares UP over the number of squares ACROSS. Counting, we get, 3 squares up over 1 square across for line A. 3/1= 3. The slope is the number we multiply by x. In the equation, that is 3, because we see 3x, and no sign or space between 2 numbers automatically means we multiply. So line A also has the correct slope.

In linear equations (straight lines), the same slope and y-intercept are enough to tell you that the equation matches the line.

Therefore, the answer is A!

9514 1404 393

Answer:

  x = 24

Step-by-step explanation:

The two angles are complementary, so their sum is 90°.

  x° +(3x -6)° = 90°

  4x = 96 . . . . . . . . . . . . divide by °, add 6

  x = 24 . . . . . . . . . . . . . divide by 4

Answer:

P =33.6 m

A = 70.56 m^2

Step-by-step explanation:

The perimeter of a square is given by

P =4s = 4(8.4) =33.6 m

The area of a square is given by

A = s^2 = (8.4) ^2 =70.56 m^2

Answer:

Perimeter = 8.4×4 = 33.6 meters

Area = 8.4^2 = 70.56 square meters

Answer: the answer is even.

Answer:

I don’t know

Step-by-step explanation:

Step-by-step explanation:

(A U B) = {1,2, 4, 6, 7}

(A U B)'= U- (A U B) = { 3,5}<------- Answer

Answer:

x=49 or B)49

Step-by-step explanation:

its is a linear pair so that means it is equal to 180 degrees

you equation will be

x-18+149=180 simplify

x+131=180 subtract 131 from both sides

x=49

Answer:

π and f. 125

Step-by-step explanation:

for the circle its π or 3.1415926535....

for the triangle its f. 125

Answer:

y > (1/2)x + 2

Step-by-step explanation:

The line rises 1 in y for each run of 2 in x

slope = rise/run

slope = 1/2

---------------------

The y-intercept is 2

-----------------------------

The graph is shaded above the dashed line

-----------------------------

Therefor

y > (1/2)x + 2

Answer:

y>1/2x+2

Step-by-step explanation:

The answer is y>1/2x+2. The shaded red part is the graph of y>1/2x+2. Because the slope is 1/2 and the y-intercept is 2, this is the correct answer.

If this helps please mark as brainliest

Answer:

See Below.

Step-by-step explanation:

Problem A)

We have:

[tex]\displaystyle \csc^2\theta \tan^2\theta -1=\tan^2\theta[/tex]

When in doubt, convert all reciprocal trig functions and tangent into terms of sine and cosine.

So, let cscθ = 1/sinθ and tanθ = sinθ/cosθ. Hence:

[tex]\displaystyle \left(\frac{1}{\sin^2\theta}\right)\left(\frac{\sin^2\theta}{\cos^2\theta}\right)-1=\tan^2\theta[/tex]

Cancel:

[tex]\displaystyle \frac{1}{\cos^2\theta}-1=\tan^2\theta[/tex]

Let 1/cosθ = secθ:

[tex]\sec^2\theta -1=\tan^2\theta[/tex]

From the Pythagorean Identity, we know that tan²θ + 1 = sec²θ. Hence, sec²θ - 1 = tan²θ:

[tex]\tan^2\theta =\tan^2\theta[/tex]

Problem B)

We have:

[tex]\sin^3x=\sin x-\sin x \cos^2 x[/tex]

Factor out a sine:

[tex]\sin x(\sin^2 x)=\sin x-\sin x\cos^2 x[/tex]

From the Pythagorean Identity, sin²θ + cos²θ = 1. Hence, sin²θ = 1 - cos²θ:

[tex]\sin x(1-\cos^2 x)=\sin x-\sin x\cos^2x[/tex]

Distribute:

[tex]\sin x- \sin x \cos^2 x=\sin x-\sin x\cos^2 x[/tex]

Problem C)

We have:

[tex]\displaystyle \frac{\cos 2x+1}{\sin 2x}=\cot x[/tex]

Recall that cos2θ = cos²θ - sin²θ and that sin2θ = 2sinθcosθ. Hence:

[tex]\displaystyle \frac{\cos^2 x-\sin^2 x+1}{2\sin x\cos x}=\cot x[/tex]

From the Pythagorean Identity, sin²θ + cos²θ = 1 so cos²θ = 1 - sin²θ:

[tex]\displaystyle \frac{2\cos^2 x}{2\sin x\cos x}=\cot x[/tex]

Cancel:

[tex]\displaystyle \frac{\cos x}{\sin x}=\cot x[/tex]

By definition:

[tex]\cot x = \cot x[/tex]

Answer:

28

Step-by-step explanation:

Thank you

See below for the examples of combinations

Combinations are instances where items and objects are chosen or selected from a collection or group of items and objects such that the order in which the items and objects are selected does not matter

There are several applications of combinations in our daily activities.

Some of them include:

An example of combination with repetition is the selection of a food item from a food menu

While an example of combination without repetition is the selection of students to represent the school in a debate competition

Read more about combination at:

https://brainly.com/question/11732255

#SPJ1

Correct Work

4x+8 +3(x-4)

4x +8 + 3x-12

4x+3x+8 -12

7x -4

Mistake Made

Step-by-step explanation:

Given that,

x=4y - 12 ....(1)

And

-2y= x- 6 ....(2)

Put equation (1) in equation (2). So,

-2y= (4y - 12)- 6

-2y = 4y - 12 -6

-2y-4y = -12-6

-6y = -18

y = 3

So, substituting x=4y - 12 into the equation -2y= x- 6 will produce y = 3.

Answer:

Solution given:

Annie needs 250 lb of cement to fix the outer step.

Each bag hold 40 lb of cement.

Now

40 lb =1bag

we need

250lb= ? bag.

we have

no of bag =needed lb/1 bag's lb=250/40=250/40=6.25

we do not need more than 7 bags

Annie needs 7 bags.

So

The required inequality is:

b≥7.

Answer:

45

135

Step-by-step explanation:

x-y = 90

x = 3y

3y - y = 90

2y = 90

y = 45

x = 3×45 = 135

Answer:

[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

Hi there!

In the given equation [tex]y=2x+5[/tex], the slope of the line is 2.

Perpendicular lines always have slopes that are negative reciprocals, like negative "flipped" fractions.

Example: The negative reciprocal of [tex]\frac{3}{1}[/tex] (which is the same as 3) is [tex]-\frac{1}{3}[/tex].

Example 2: The negative reciprocal of [tex]-\frac{4}{3}[/tex] is [tex]\frac{3}{4}[/tex].

Using this logic, the negative reciprocal of 2, or [tex]\frac{2}{1}[/tex], is [tex]-\frac{1}{2}[/tex]. Therefore, the slope of a line perpendicular to the line [tex]y=2x+5[/tex] is [tex]-\frac{1}{2}[/tex].

I hope this helps!

300ml.

60×5=300 so yea, that's ur answer

Answer:

x = 3

[tex]x=-1\frac{1}{3}[/tex] or [tex]x=-\frac{4}{3}[/tex]

Step-by-step explanation:

3x² - 5x - 12 = 0

Method 1: Factoring

3x² + 4x - 9x - 12 = 0

(3x² + 4x) + (- 9x - 12) = 0

x(3x + 4) - 3(3x + 4) = 0

(x - 3)(3x + 4) = 0

Two separate equations

x - 3 = 0

3x + 4 = 0

x - 3 = 0

x - 3 + 3 = 0 + 3

3x + 4 = 0

3x + 4 - 4 = 0 - 4

3x = - 4

[tex]\frac{3x}{3} :-\frac{4}{3}[/tex]

[tex]x=-1\frac{1}{3}[/tex]

Method 2: Quadratic Formula

Ignore the A before the ±, it wouldn't let me type it correctly.

[tex]x=\frac{-b±\sqrt{b^{2} -4ac} }{2a}[/tex]

3x² - 5x - 12 = 0

a = 3

b = - 5

c = - 12

[tex]x=\frac{-(-5)±\sqrt{(-5)^{2} -4((3)(-12))} }{2(3)}[/tex]

[tex]x=\frac{-(-5)±\sqrt{25 -4((3)(-12))} }{2(3)}[/tex]

[tex]x=\frac{-(-5)±\sqrt{25 +144} }{2(3)}[/tex]

[tex]x=\frac{-(-5)±\sqrt{169} }{2(3)}[/tex]

[tex]x=\frac{-(-5)±13}{2(3)}[/tex]

[tex]x=\frac{5±13}{6}[/tex]

Two separate equations

One must have a + (positive) and the other will have a - (negative).

[tex]x=\frac{5+13}{6}[/tex]

[tex]x=\frac{18}{6}[/tex]

x = 18 ÷ 6

x = 3

[tex]x=\frac{5-13}{6}[/tex]

[tex]x=\frac{-8}{6}[/tex]

x = - 8 ÷ 6

[tex]x=-1\frac{1}{3}[/tex]

Answer:

y = -1/4x + 6

Step-by-step explanation:

Answer:

y = -1/4x + 6

Step-by-step explanation:

Get y alone:

x + 4y = 24

-x = -x

4y = -x + 24

Divide:

4y = -x + 24

4 = 4

Distribute division:

y = -1/4x + 24/4

Reduce fractions:

y = -1/4x + 6

Answer:

6-2x+5+4x

2x+11

hope this helps

have a good day :)

Step-by-step explanation:

The only step you need to do is add like terms

Answer:

Infected = itself + itself

Healthy = 200 - infected

y axis = weeks

x axis = # of people

use green for healthy and red for infected

and mark going by weeks

green:

(1, 199)

(2, 198)

(3, 196)

(4, 192)

(5, 184)

(6, 168)

(7, 136)

(8, 72)

(9, -56)

red:

(1, 1)

(2, 2)

(3, 4)

(4, 8)

(5, 16)

(6, 32)

(7, 64)

(8, 128)

(9, 256)

(10, 512)

Step-by-step explanation:

πr²= Area of a circle

In this case:

π16²

So therefore, the answer is A

Hope this helped!

Answer:

b

Step-by-step explanation:

h

Answer:

0.6154 = 61.54% probability that the student is an undergraduate

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Foreign

Event B: Undergraduate.

There are four times as many undergraduates as graduate students

So 4/5 = 80% are undergraduate students and 1/5 = 20% are graduate students.

Probability the student is foreign:

10% of 80%

25% of 20%. So

[tex]P(A) = 0.1*0.8 + 0.25*0.2 = 0.13[/tex]

Probability that a student is foreign and undergraduate:

10% of 80%. So

[tex]P(A \cap B) = 0.1*0.8 = 0.08[/tex]

What is the probability that the student is an undergraduate?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.08}{0.13} = 0.6154[/tex]

0.6154 = 61.54% probability that the student is an undergraduate

Answer:

False

Step-by-step explanation:

You can have more than one line of symmetry to divide figures into more than two equal parts.

Answer:

I think the manager is correct because Jenny should not order the belts according to its sold quantity or according to the demand of other people.She must choose the size according to her waist size and the other's for whom she is going to buy.

Will you mark it the brainliest please because I answered your question inspite of being in class:)