A recipe calls for 13 cup of flour and 25 cup of cinnamon. How many cups of cinnamon are needed for each cup of flour?

Answer:

x = 80 / 79 [improper fraction]

x = 1 ¹⁄₇₉ [mixed fraction]

x = 1 + [tex] 0.\overline{0126582278481} [/tex]

[decimal]

x ≈ 1.01 [decimal to nearest hundredth]

Step-by-step explanation:

10.3x + 4.5x = 15

(10.3 + 4.5)x = 16

(15.8)x = 16

(15.8)x / 15.8 = 16 / 15.8

x = 16 / 15.8

x = (16) / (15 + ⁸⁄₁₀)

x = (16) / (15 + ⅘)

x = (16) / (15 ⅘)

x = (16) / (79 / 5)

x = (16) × (5 / 79)

x = 80 / 79

x = 1 ¹⁄₇₉

x = 1 + ¹⁄₇₉

x = 1 + [tex] 0.\overline{0126582278481} [/tex]

x ≈ 1.01

Answer: 900

Step-by-step explanation:

The number of seconds it will take both the crew together to make 38 sandwiches is 900.

The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.

The time taken by the afternoon crew to make a sandwich is 45 seconds. The time taken by the evening crew to make a sandwich is 50 seconds. Taking the LCM of the timing of the two crew, to know at what time they both will finish making a sandwich together.

LCM of 45 and 50 is 450.

Therefore, the number of sandwiches made by the afternoon crew in 450 seconds is 10, while the number of sandwiches that will be made by the evening crew is 9. Thus, in a time period of 450 seconds, both crews together will make 19 sandwiches.

Now, since it takes 450 seconds to make 19 sandwiches the time it will take to make double the number of sandwiches therefore, 38 sandwiches will also be double.

Hence, the number of seconds it will take both the crew together to make 38 sandwiches is 900.

Learn more about LCM:

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Answer:

The answer is 1710

Step-by-step explanation:

To find the volume of a shape, multiply the length by width by height.

V = LxWxH

Answer:

810in^3

Step-by-step explanation:

(6*19)/2 = 54

54*15 = 810

Answer:

84

Step-by-step explanation:

What I did was simple. I just plugged it into my calculator and let it get to work. If you don't have a calculator, use your phone or computer. There should be calculators on both of these.

Please let me know if you need any more help. Hope this helps!

Answer:

x=2

Step-by-step explanation:

1. AB=AC (The triangle is isosceles. This means that at least two of its sides are equal in length. Looking at the triangle in the picture, sides AB and AC look the same, so we will assume that they are equal. Note that as you get more advanced, assuming isn't the best strategy. You should always try to look for hints if you are ever unsure. For example, if there are two angles that are the same measure in a triangle, the two sides that are only touching one of these angles are equal in length. This is called the base angles theorem converse.)

2. 9x-3=6x+3 (Rewrite sides AB and AC as the values given in the picture. This is called substitution.)

3. 9x=6x+6 (Add 3 to each side)

4. 3x=6 (Subtract 6x from each side)

5. x=2 (Divide each side by 3)

let me know if i did anything wrong, hope this helps!!

Answer:

x = 7

Step-by-step explanation:

x + 8 = 15

7 + 8 = 15

15 = 15

LHS = RHS

Answer:

BGC and FGE are cmplimentary so FGE = 45 degrees

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

Since all the angles in any give triangle adds up to 180, we can make an equation from this geometry question. x+5+7x-5+x=180 (Adding all the angles). If you simplify this, it becomes 9x=180, or x=20.

Answer:

Answer: The length of string from kite to the ground is 111.5 feetStep-by-step explanation:Given ... of the ground, and its string is pulled tout. The angle of elevation of the kite is 43. Find the length of the string. Round your answer to the ... The height from the ground at which kite is flying = BC = h = 76 feet.

Step-by-step explanation:

Answer:

x=-6

Step-by-step explanation:

The only thing to do is to transpose 4 and it will become negative,so-2-4=-6

Answer:

X = -6

Step-by-step explanation:

The equation is x + 4 = -2. Make the (+4) to cross over the equal sign which makes a new equation :- x = -2 - 4

Work out the new equation:-

x = -2 - 4

NOTE: -2 - 4 = -6

Therefore x = -6

Answer:  6000ft2

Step-by-step explanation: Multiply 15*20*20 to find the area of a figure.

Answer:

2 and 2/3 mph

Step-by-step explanation:

The computation of the speed when he wants to keep the same distance is shown below:

Given that

Jenny left her house at 8:00AM

Went for a school at a speed of 2 and 2/3 mph

And, her brother left the house minutes later

So here the speed would be the same i.e.  2 and 2/3 mph

Answer:

Step-by-step explanation:

6+12+18+....6n=3n(n+1)

Proof by induction

True for n = 1

6 = 3(1)(1+1)

Assume true for n = k

6+12+18+....6k=3k(k+1)

Then show that

6+12+18+....6(k+1)= 3(k+1)(k+1+1)

We add 6(k+1) to both sides of

6+12+18+....6k=3k(k+1)

6+12+18+....6k +6(k+1) =3k(k+1) + 6(k+1)

= 3(k+1)(k + 2)

= 3(k+1)(k+1+1)

So true for n = k+1

Since true for n=1 it is true for n=2,3,...

Thus true for all natural numbers n by mathematical induction

Answer:

9.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

the answer is B.the equation of the line

Answer:

3*∑ (1/2)^n = 6

Step-by-step explanation:

We have the summation from n = 1 to n = ∞, for:

∑ 3/(2)^(n - 1)

We know that the summation between k = 0, and k = N - 1 for:

∑ r^k = (1 - r^N)/(1 - r)

if we have the summation between k = 0 and k = ∞ - 1 = ∞

(here we used that ∞ is really big, then ∞ - 1 = ∞)

In the numerator we will have the term r^∞, if 0 < r < 1, then r^∞ = 0.

Then if we assume that 0 < r < 1 we can write:

∑ r^k =  1/(1 - r)

In our case, we can rewrite our summation as:

3*∑ (1/2)^n

for n = 0 to  n = ∞

You can see that i changed the limits for n, this does not really matter because we are summing between a number and infinity, the only thing you need to take care is that now the power is n, instead of (n - 1)

Then we have r = (1/2) which is clearly smaller than 1.

then (1/2)

Then this summation is equal to:

3*∑ (1/2)^n = 3*( 1/(1 - 1/2)) = 3*( 1/( 2/2 - 1/2)) = 3*( 1/(1/2)) = 3*2 = 6

3*∑ (1/2)^n = 6

Answer:

i think the ratio for the first is 1:5 and the other is 1:1

Step-by-step explanation:

have a nice day

Answer:

yeah i dont know i want my points xd 494 4944

Step-by-step explanation:

Answer:

113 inches

Step-by-step explanation:

13 times 9 is 117 inches (this is the area for the whole cake)

2 times 2 is 4 (this is just the middle)

But since the brother ate the middle you will have to subtract the area of the middle piece from the whole area.

117-4 is 113 so the area now is 113 inches

Answer:

A.

irrational numbers

Step-by-step explanation:

Name the set(s) of numbers to which each number belongs.

1/33......the number is rational

7........Natural Number....whole number

-20/4=-5........integer

-7.34.........rational

[tex]\sqrt{5}[/tex]......... irrational number

all above numbers belong to the "REALS"

Use the definitions in order to categorize the numbers as either natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers.

Irrational Numbers, Real Numbers

Answer: A. Irrational Numbers

Step-by-step explanation:

Gradpoint.

Answer:

(-3,1.5) (0,3) (3'3)

Step-by-step explanation:

multiply all the coordinates by 1/2

Answer:

D. 49.35

Step-by-step explanation:

[tex]\frac{4935}{100 X 100}[/tex] X 100 = 49.35

Answer:

First, we know that the 0 in the horizontal axis corresponds to the noon.

Then:

a) Lin's elevation at noon in meters.

We need to see the elevation when x = 0.

This is the point that is just on top of the y-axis, we can see that when x = 0, we have y = 6.

Then at noon, her altitude was 6 meters.

b) At 8:00 am, her elevation was 2m

Remember that the x-component represents time, and x = 0 represents the noon.

8:00 am is 4 hours before noon, then 8:00am is represented with x = -4

and at this time her elevation is 2m, then y = 2.

This means that the point that represents this is (-4, 2)

c) At 4:00 pm Lin was at sea level (her elevation was 0m)

Same reasoning than before: x = 0 is the noon, then 4:00 pm is four hours after this, then 4:00 pm is represented with x = 4.

And here her altitude is 0m, then y = 0.

This point is written as (4, 0)

d) Here we can see that at 6:00 am her elevation was negative, and at 4:00pm her elevation is 0.

And we know that:

0 > negative numbers.

Then her altitude increased in this interval of time.

Answer:

Its 0

Step-by-step explanation:

Answer:

54%

Step-by-step explanation:

129/240 =  0.5375  (divided to find the % change)

0.5375 * 100 (to convert decimal to percent form)

53.7 which is rounded to 54 percent (I needed to round it to the nearest whole percent number)

Answer:

She would make $35.

Step-by-step explanation:

If you do 10 x 3.5, you will get the answer of $35.

Answer:

$30

Step-by-step explanation:

She would be getting paid by the HOUR, and she has worked 3.5 hours. If she gets paid every HOUR, that means that she would be paid three times when working 3.5 hours. The answer would be $30.

The person who wrote the question might want $35 dollars as the answer, but logically the answer should be $30.

Answer:

Sorry the pictures re not clear. Could u zoom in? :)

Answer:

225 ft²

Steps:

(20×10)+5² = 200+25 = 225 ft²

Answer: 225ft^2

Step-by-step explanation: