what is the common difference of the arithmetic sequence 5,8,11,14?

Answer:

Margarine = 210 gram

Sugar = 180 gram

Syrup = 150 ml

Oats = 360 gram

Raisins = 75 grams

Step-by-step explanation:

Given:

Recipe for 8 flapjacks

140 g margarine

120 g sugar

100 mL syrup

240 g oats

50 g raisins

Find:

Recipe for 12 flapjacks

Computation:

Margarine = [140/8]12

Margarine = 210 gram

Sugar = [120/8]12

Sugar = 180 gram

Syrup = [100/8]12

Syrup = 150 ml

Oats = [240/8]12

Oats = 360 gram

Raisins = [50/8]12

Raisins = 75 grams

Given:

Radius of the circle = 10 in

Central angle of the sector = 45 degrees

To find:

The area of the sector.

Solution:

Area of a sector is

[tex]A=\dfrac{\theta}{360^\circ}\pi r^2[/tex]

Where, [tex]\theta[/tex] is the central angle in degrees.

Putting r=10 and [tex]\theta=45^\circ[/tex], we get

[tex]A=\dfrac{45^\circ}{360^\circ}\pi (10)^2[/tex]

[tex]A=\dfrac{1}{8}\pi (100)[/tex]

[tex]A=12.5\pi[/tex]

Therefore, the area of the sector is 12.5π sq. inches.

Answer:

5, -7, 18, 14

Step-by-step explanation:

1) x = 5

2) x = -7

3) x = 18

4) x = 14

Answer:

29

Step-by-step explanation:

Answer:

(a) Earnhardt (40%), Gordon (29%), Waltrip (18%), and Petty (13%)

(b) 144, work is below

(c) No

Step-by-step explanation:

(b)

convert 40% to a decimal by dividing by 100 = 0.4

360 x 0.4 = 144 people voted for Earnhardt

(c) converting Petty's percentage to a decimal, we get 0.13. 360 x 0.13 = 46.8, or 47 people, not 65.

Waltrip's percentage, 0.18 x 360 = 64.8, or 65 people.

Step-by-step explanation:

Let the amount of money Andre has be $A.

Answer:

+25

Step-by-step explanation:

I know this is old but since it says his uncle GAVE him 25$ as a present, that means he earned money not lost money. So it would be +25.

Answer:

dont spread Spanish but 187 + 165= 352

Answer:

(4y/3, 0) or if there are no options, it's probably (0, 0)

Step-by-step explanation:

2x + 3y = 5x - y

So we are trying to find the missing value in the solution (_, 0)

We are looking for the x-intercept/root if the coordinate is in this way:  (_, 0)

So to find the root, We are solving for x

2x + 3y = 5x - y

First, subtract 5x from bth sides

2x + 3y - 5x = 5x - y - 5x

2x + 3y - 5x = -y

Add like terms

-3x + 3y = -y

Now, subtract 3y from both sides

-3x + 3y - 3y = -y - 3y

-3x = -4y

Divide both sides by -3

-3x/-3 = -4y/-3

x = -4y/-3

We are not done yet because the answer above is not quite right. A negative number divided by a negative number results in a positive number.

So x = 4y/3

Now that we found x, we can input it to the coordinate

(4y/3, 0)

I put it on Sesmos graphing calculator and the answer seems to be (0, 0)

Answer:

5

Step-by-step explanation:

14+35=49 and we are looking for the number times 7 that gives us 49.

So, we already have 2. 2+ what times 7 gives us 49? 2 + 5 = 7 and so now our equation looks like this:

14+35 =7 (2+5)

Or

14+35= 7x7 becuase 7x7 is 49 and 14+35 is also 49.

(If you need more help, let me know!)

Answer:

Parallel

Step-by-step explanation:

Let the required lines be y-x = 5 and y = x-1

If y-x = 5

y = x + 5

The slope m = 1

For the line y = x - 1

The slope m is also 1

Since the slope of both lines are the same, hence both liens are parallel

Answer: y = 3x + 1

Step-by-step explanation:

3 is the slope and 1 is the y-intercept

Answer:

X = 18

Step-by-step explanation:

X - 7 = 11

Add 7 to both sides

X - 7 + 7 = 11+7

X = 18

Answer:

measure or arc BAC should be 297 degrees (with assumptions)

Step-by-step explanation:

Assumption 1: the cap Z in your question is actually an angle symbol

Assumption 2: A is the center of the circle

IF these assumptions are true, then the measure of arc BAC is 36 - 63 = 297 degrees

Answer:

The three gallon container is the better buy. See below.

Step-by-step explanation:

8 pints

2 pints = 1 quart.

8 pints = 4 quarts.

4 quarts = 22.64   Divide by 4

1 quart = 5.66

3 gallons.

1 gallon = 4 quarts

3 gallons = 12 quarts.

The cost of 1 quart = 54.48/12 = 4.54

Answer:

2x+3y=4 I don't know the variables so I use x and y

Answer:

i got -252

remember pemdas! i dont think youll fail good luck :D

Answer:

46

Step-by-step explanation:

180-134=46

Answer:

They're both 46 degrees

Step-by-step explanation:

Angle b and 134 are right next to each other so they're supplementary and have to equal 180 degrees.

180-134=46, and since Angle c is is a vertical angle with Angle b, it also equals 46^^

60% as a decimal is 0.60

Multiply the distance by 0.60:

150 x 0.60 = 90 miles.

Answer:

90

Step-by-step explanation:

60 percent is the same as 0.6

150 * 0.6 = 90

Answer:

Step-by-step explanation:

f(9) = 3(9)^2 - 1 = 242

f(-2) = 3(-2)^2 - 1 = 11

Answer:

BAQ = 36 cm

PDA = 51 cm

x = 8/3 cm

Step-by-step explanation:

I've attached an image below, I'm not completely sure if im right but hope this helps!

Answer:

x-intercept(s):

None

y-intercept(s):

(0,7+√11),(0,7−√11)Step-by-step explanation:

Answer:

True

(Angle-Side-Angle)

The triangles shown below must be congruent is a True Statement.

We have two Triangles in which

There are three angles Congruent in both Triangles.

Also, the side of the triangle is congreunt.

As we know that there is no Criteria which as congruency rule AAA Criteria.

So, we can take two Congruent angles and one Congruent side.

Thus, the statement is True.

Learn more about Congruency here:

https://brainly.com/question/7888063

#SPJ7

Answer:

2 or ii

Step-by-step explanation:

Answer: 12°

Step-by-step explanation:

add together 7 and 5 to get the change since 7 is negative

5 to -7 is 12 units

Answer:

18-x=6

Step-by-step explanation:

because

if you have eighteen and some were borrowed and 6 were left so it will be subtracted

Answer:

18 - x = 6

Step-by-step explanation:

In any equation x is the unkown you are trying to figure out.

In a word-problem-solving question its helpful to set out what you know and what you dont know:

You know the original number of pens = 18

You know the final number of pens = 6

You dont know how many pens were taken.

Therefore x is the difference between 18 and 6.

18 pens take away x pens is equal to 6

hence 18 - x =6

Answer:

-4(3v - 10)(3v + 10)

Step-by-step explanation:

You must find the factored form of 400 - 36v^2.

You can rearrange this to - 36v^2 + 400 to make it less confusing.

So you have - 36v^2 + 400.

The next step is to see what you can take out of this. You can take out a GCF, a greatest common factor. This is basically a number that goes into both 36 and 400. This number is 4.

36 / 4 = 9 and 400 / 4 = 100.

Since it is a negative 36, you need to take out a negative 4.

So you put a 4 outside parenthesis and divide - 36 / 4 and 400 / 4.

-4(9v^2 - 100).

Now you must factor the inside of the parenthesis.

9v^2 - 100.

This is the same as 9v^2 + 0v - 100.

What are 2 numbers that multiply to get -100 and add to get 0?

These numbers are -10 and +10.

2 terms that multiply together get 9v^2 are 3v and 3v.

So the answer is:

-4(3v - 10)(3v + 10).

This is the factored form.

Answer:

the answer is 1:30pm/am

Answer: The actual area of the base of the building = 4418 square feet.

Step-by-step explanation:

Dimensions of model: 2 inches in length and 1 inch in width.

The scale on the model is 1 inch = 47 feet.

Actual length = 2 x (47 feet) = 94 feet

Actual width = 1 x 47 feet = 47 feet

Actual area of base of building  = (Actual length) x (Actual width)

= 94 x 47 square feet

= 4418 square feet

Hence, the actual area of the base of the building = 4418 square feet.