2 3 4 cups of oatmeal and makes one dozen muffins. If he makes 3 dozen muffins for a club meeting and 2 1 2 dozen muffins for a family reunion, how much oatmeal will he use?

Answer:

x^2 + 11x - 13

Step-by-step explanation:

A = 3x^2 + 5x - 6

B = 2x^2 - 6x + 7

=> A - B = (3x^2 + 5x - 6) - (2x^2 - 6x + 7)

             = (3x^2 - 2x^2) + (5x + 6x) - (6 + 7)

             = x^2 + 11x - 13

I hope this helps!

Answer:

x= -10

Step-by-step explanation:

Please see attached picture for full solution.

to do this all you have to do is make the denominator 1 and the numerator should be 1.566666667

Answer:

19 inches is the correct answer.

Step-by-step explanation:

Side 1 = 10 inches

Side 2 = 15 inches

It is given that it is an obtuse angle triangle i.e. the largest angle of the triangle is more than [tex]90^\circ[/tex].

Let us suppose, that the triangle be a right angle triangle, then the largest angle will be [tex]90^\circ[/tex]. The largest side is known as Hypotenuse.

As per pythagoras theorem:

[tex]Hypotenuse^{2} = Base^{2} + Height^{2}[/tex]

[tex]\Rightarrow 10^{2} + 15^{2} = Hypotenuse^2\\\Rightarrow 325 = Hypotenuse^2\\\Rightarrow Hypotenuse = 18.04\ inches[/tex]

So, largest side comes out be 18.04 inches.

But actually, the largest angle is more than [tex]90^\circ[/tex] so the largest side will also be greater than 18.04 inches.

Hence, the answer is:

Smallest possible whole number length of unknown side will be 19 inches.

Answer:

I did the test and thecorrect option was 18.

Answer:

Step-by-step explanation:

The next term of a Fibonacci sequence is generated by taking the sum of the 2 preceding value of the sequence. Given the the first and third term of a Fibonacci sequence to be x and y

x, _, y...

let the second term be a, fourth term be b and fifth term be c to have the sequence;

x, a, y, b, c...

According to the definition;

x+a = y... 1

a+y = b... 2 and;

y+b = c... 3

From equation 1, a = y-x

Substituting a = y-x into equation 2 to get b we have;

(y-x)+y = b

2y-x = b

b = 2y-x

Substituting b = 2y-x into equation 3 to get 'c'

y +  2y-x = c

3y-x = c

c = 3y-x

The second term of the sequence is y-x

The fourth term of the sequence is 2y-x

The fifth term of the sequence is 3y-x

Answer:

Shape

Step-by-step explanation:

Shape because if you make the boat the right shape, it has a better chance of floating.

Answer:

Step-by-step explanation:

(f+g)(x) = f(x) + g(x)

           = 4x + 1 + x² - 5

            = x² + 4x  - 4

Answer:

x^2 +4x -4

Step-by-step explanation:

f(x) = 4x+1

g(x) = x^2-5

(f+g)(x) =  4x+1 + x^2 -5

Combine like terms

            = x^2 +4x +1-5

              =x^2 +4x -4

Answer:

B

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

The formula for the area of a parallelogram is the base times height.

We know the base is 5, and the area is 30, so:

5x=30

x= 6

So the height is 6

Answer:

The area of a parallelogram is A= bh so since the base is 5, the height is 6

6 x 5 = 30^2

Step-by-step explanation:

Answer:

r=8

Step-by-step explanation:

Because 16 divided by 2 is 8

The radius of a circle has a circumference of 16 at r = 8.

Given: the formula for the circumference of a circle is C = 2r, where r is the radius and C is the circumference.

The circumference of a circle is equal to π.

π ≈ 3.14

multiplied by the diameter of the circle.

Therefore, the diameter has twice the length of the radius.

In equation form:

2r = d.

2r = 16.

r = 8.

Note, 2r = d,

Then, the equation C = 2πr holds and can be used in place of C = πd.

The radius of a circle has a circumference of 16 at r = 8.

Learn more about the radius of a circle

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Answer:

The answer is D.

Step-by-step explanation:

Angle 1 and 2 are equivalent to the measure of angles 3+4. We know this because both sides on the middle line form a 90 degree angle

I hope this helps :)

Answer:

13 times

Step-by-step explanation:

78 divided by six

(could be wrong)

Answer:

11.5 years old

Step-by-step explanation:

Let's call Michael's current age m, and Brandon's current age b.

m=3b

m-18=9(b-9)

Substituting:

3b-18=9(b-9)

3b-18=9b-81

6b=63

b=11.5

Hope this helps!

Answer: 1412 vehicles.

Step-by-step explanation: I calculated my answers and I approximately got this anwse so... Hope it helps.

Answer:

0.9617

Step-by-step explanation:

√0.925

= 0.9617

Answer:

the answer is 0.96176920308

Step-by-step explanation:

do you need working hope it helps I would have answered first but I wanted to ask whether you needed workings.

Answer:

298.90 - 29.95 = (ANSWER) divide it by 11 then you will have the monthly cost

Step-by-step explanation:

Answer:

monthly paid= 24.45

Step-by-step explanation:

if we take membership join fee=x=29.95

and the monthly fee=m

so the equation will be

11 m + x =298.90

so by substitute x

m=24.45 $/month

Answer:

[tex]n^{26}[/tex]

Step-by-step explanation:

[tex]n^{3 \times 2} \times n^{5 \times 4}[/tex]

[tex]n^{6} \times n^{20}[/tex]

[tex]n^{6+20}[/tex]

[tex]n^{26}[/tex]

Answer:

N^26

Step-by-step explanation:

N ^3^2 = n^6

N^5^4 = n^20

Multiply. Use laws of exponents

N^6 x n^20 = n^20+6 = n^26

Hope this helps

Answer:

Step-by-step explanation:

1) Let x represent the sale price.

normal price = $39.95. This week they are on sale for 25% off the regular price. The amount taken off is

25/100 × 39.95 = 9.9875

Sale price = 39.95 - 9.9875 = $29.9625

2) number of games played by the tigers is 11 + 4 = 15

Percentage of games won is

11/15 × 100 = 73.3%

number of games played by the cubs is 10 + 3 = 13

Percentage of games won is

10/13 × 100 = 76.9%

3) increase in stock price = 61.5 - 52.63 = $8.87

Percentage increase = 8.87/52.63 × 100 = 16.85%

4) if 28 percent of seven graders went

to a movie theater over the weekend and there are 800 students in the seventh grade, then the number of seven graders that saw

the movie is

28/100 × 800 = 224

Mrs. Thomas has $71.00 to purchase bottles of juice for her class. If the bottles of juice cost $3.55 each, how many bottles can she buy?

2 bottles

5 bottles

20 bottles

25 bottle

the is c 20 bottles          

Answer:

15

Step-by-step explanation:

the formula for area is l×w=a so when you multiply the length with the width, you get 15.

Answer:

15 feet

Step-by-step explanation:

Since you are finding the AREA, you always have to multiply length by width. So, 5 ft x 3 ft= 15 ft

Answer:

[tex] \frac{400 \times 5 \times 2}{100} [/tex]

Answer A is correct

Step-by-step explanation:

[tex]p = 400 \\ r = 5\% \\ t = 2 \: \: years[/tex]

Now let's find the simple interest.

[tex] \frac{prt}{100 } \\ = \frac{40 0 \times 5 \times 2}{100} \\ = 40[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

It's a).

Step-by-step explanation:

I = PRT/100

- where I = the interest , P = initial amount, R = annual rate and T is the time in years.

So the answer is (400*5*2) / 100.

Answer:

.........................................

Step-by-step explanation:

.........................................

Answer:

Both brothers will have the same amount of money is their saving accounts after six months.

Step-by-step explanation:

I worked this out by finding out the first 8 months of savings for both brothers:

Patrick:               His brother:

200                     150

225                     185

250                     220

275                     253

300                     290

325                     325

375                     360

400                     395

I then looked across my results to see that at 6 months both brothers had $325.

Hope this helped.

Answer:

41

Step-by-step explanation:

Matrix Multiplication follows a row-column format. In order to compute this, you must be familiar with vector dot products.

With that in mind, lets get straight into it.

The order that matrix multiplication follows means that the terms in the result are filled in left to right, then top to bottom.

Therefore, a21 will be the 3 value that is computed. This is important becuase this allows to directly compute a21, instead of using up a lot of time computing all the values before.

As a21 is located in the bottom row 1st column, we take the dot product of the 2nd row in matrix 1 and the 1 column in matrix two.

So we have:

(7 2) dot (5 3) = 7*5 + 2*3 = 41

Is that 6 or negative 6? I'll do both situations, as I can't tell (sorry!)

With negative 6:

-6 < 3 < 5

With positive 6:

3 < 5 < 6

Answer:

The correct answer is D. 360°

Step-by-step explanation:

The sum of all the exterior angles of a regular n-gon or a polygon is always equal to 360°.

Let us consider the image attached.

First of all let us consider the triangle.

As per the property of exterior angles: The exterior angle is equal to the sum of 2 opposite interior angles.

[tex]\Rightarrow \angle 1=\angle B + \angle C\\\Rightarrow \angle 2=\angle A + \angle C\\\Rightarrow \angle 3=\angle A + \angle B[/tex]

Where [tex]\angle A, \angle B\ and\ \angle C[/tex] are the interior angles of the triangle.

Adding the above equations:

[tex]\angle 1 +\angle 2 +\angle 3 = 2 \times (\angle A +\angle B +\angle C )[/tex]

The sum of interior angles of a triangle is always equal to 180°

[tex]\angle A +\angle B +\angle C = 180^\circ[/tex]

[tex]\angle 1 +\angle 2 +\angle 3 = 2 \times 180^\circ\\\Rightarrow \angle 1 +\angle 2 +\angle 3 = 360^\circ[/tex]

Hence, proved that the sum of exterior angles is [tex]360^\circ[/tex].

So, the correct answer is D. [tex]360^\circ[/tex]

Answer:

[tex]C.[/tex]  [tex]400[/tex]

Step-by-step explanation:

[tex]19.7/0.0485[/tex]

[tex]=406.18556701030927835051546391752577319587628865979381443298969[/tex]

The number closest in value to 19.7/0.0485 is 400.

The correct option is C.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given:

We have the expression,

19.7/0.0485 = 406.1855

From the options,

400 is closest to 406.1855.

Therefore, 400 is closest to 406.1855.

To learn more about the fractions;

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Answer:

To find the y-intercept, graph the points, and draw a line that passes through them. the place that it passes the y-axis is the y-intercept. To find the slope, find two points on the line. Take the increase in the y-coordinate and divide it by the increase in the x-coordinate.

Step-by-step explanation:

Answer:

B

Step-by-step explanation: