a recipe requires 2/3 cup of sugar to make one cake what is the maximum number of cakes that can be made using 4 1/2 cups of sugar​

Answer:

35 and 24

Step-by-step explanation:

35 + 24 = 59

35 - 24 = 11

Answer:

24 and 35

Step-by-step explanation:

x + y = 59

x - y = 11,    then x = y + 11

substitute for x:

y + 11 + y = 59

simplify:

2y + 11 = 59

subtract 11 from each side of the equation:

2y = 48

divide both sides by 2:

y = 24

x = 35

Answer:

Notice that the written functions are mostly incorrectly written, after a short online search i've found the correct ones, which are the ones i will write in this answer.

A general exponential equation can be written as:

f(x) = A*(r)^x

Where A is the initial value, r is the rate of growth, and x is our variable.

If r > 1,  the function represents a growth.

if 0 < r < 1, the function represents a decay.

1) f(x) = 3^x

Here we have r = 3

This is clearly larger than 1, then this function represents a growth.

2) f(x) = (0.25)^x

Here we have r = 0.25, which is smaller than 1 and larger than zero, then this function represents a decay.

3) f(x) = (2/3)^x

here we have r = 2/3 = 0.66

This is larger than zero and smaller than 1, then this function represents a decay.

4) f(x) = (3/2)^x

Here we have r = 3/2 = 1.5

This is larger than 1, then this function represents a growth,

Answer:

11

first you use a number tree

34 374

/\ /\

2 17 2 187

/\

11 17

express the numbers in prime factors

374=2×11×17

34 =2×17

in finding LCM you use the highest prime factors in this case the highest prime factors are 2, 11 and 17

So m factors are 2 and 11

which means m is 2×11=22

22 in its smallest form is 11

Answer:

650%

Step-by-step explanation:

Answer:

h ≈ 235

Step-by-step explanation:

We know there is a tower with h height. There is also a wire (that's diagonal) travelling to the ground. It touches the ground. The angle it makes with the ground is 57°.

Refer to the image below of what the problem should look like.

Refer to the trigonometric ratios:

tangent = opposite side/adjacent side

sine = opposite side/hypotenuse

cosine = adjacent side/hypotenuse

We can use sine because we are looking for the opposite side (to the angle) and we have the hypotenuse. So:

sine = opposite side/hypotenuse

sin(57) = h/280

sin(57) / 1 = h / 280

Cross multiply:

sin(57) (280) = 1 (h)

Input to calculator:

h = 234.827759...

h ≈ 235

Answer:

surface area of prism= 2(lb+bh+lb)

surface area of prism= 2(6×6+6×5+5×6)

surface area of prism= 168cm²

formula=2(lb+bh+hl)

sides=12 sides

total surface area =168cm²

volume of prism=l×b×h

volume of prism=6×6×5

volume of prism=180cm³

Answer

cos(θ) = –313√(13)

Step-by-step explanation:

There is a rule we are to establish first to get the answer right.

If the terminal side of an angle θ in standard position intersects a unit circle A(x, y), then cos(θ) = x and sin(θ) = y.

Therefore, given that the terminal side of angle θ goes through the point (−313√13,−213√13) on the unit circle:

cos(θ) = –313√(13)

Answer:

Hello There!!

Step-by-step explanation:

The answer is that there was once a demon king called Hiranyakashyap, who believed that he was more powerful than the all the gods and he wanted everyone like all the people to worship him but his son, Prahlad, did not worship his father.

hope this helps,have a great day!!

~Pinky~

Answer:

B. 9.99 + 1.29n [tex]\leq[/tex] 50

Step-by-step explanation:

The inequality of [tex]\leq[/tex] means less than or equal to. Her limit is $50. She has already spent $9.99. Therefore if $1.29 is the cost each song, then n is the number of songs she can afford below the cost of $50.

The function is f(n)=50n, where f(n) gives the number of meters, Nadia swims given the number of minutes she swims.

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

We are given the function f, where f(n) is the number of meters Nadia swims given the number of minutes she swims, n, can be written as ;

f(n)=50n.

This function that represents a linear relationship, where the output (the number of meters Nadia swims) is directly proportional to the input (the number of minutes she swims).

Therefore if Nadia swims for 10 minutes, the function will output 500 meters;

10 minutes x 50 meters/minute = 500 meters

Thus, the required function is;

f(n)=50n.

Learn more about the function here:

brainly.com/question/12431044

#SPJ1

Answer:

[tex]x^{-2}[/tex]

Step-by-step explanation:

[tex]\frac{x^{6}}{x^{8}}\\ = x^{6-8} = x^{-2}[/tex]

Answer:

Step-by-step explanation:

The point-slope form of the equation that describes the line with a slope of m and containing the point (x₀, y₀) is: y - y₀ = m(x - x₀)

m = ³/₄

(-8, -2)  ⇒    x₀ = -8,  y₀ = -2

Therefore:

y - (-2) = ³/₄(x - (-8))

y + 2 = ³/₄(x + 8)

Answer:

62.8

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

you want to divide the circumference by pi which is 3.14 which is 10 and that is the diameter. Now divide by 2 and the answer is 5. Hope this helps :)

Answer:

negative because any positive number multiplied by a negative number will be negative, the only way to make it positive is to multiply a negative number by another negative number.

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

1/4 of 28 = 7

9514 1404 393

Answer:

Step-by-step explanation:

A group of 6 quarters and 1 dime has a value of $1.60. Then there are ...

  $28.80/$1.60 = 18

groups like that in the piggy bank.

The number of quarters is 18×6 = 108.

The number of dimes is 18×1 = 18.

There are 108 quarters and 18 dimes in the piggy bank.

Answer:

C.)5/12

Step-by-step explanation:

Tan= opposite/ adjacent

Opposite is 15

Adjacent is 36

Simplify 15/36=5/12

Hope this helps! :)

Answer:

Option A is the next step in the series.

Answer:

FORMULA FOR SURFACE AREA OF SPHERE = 4 pi r^2  

r = 6 " area = 4 pi X 6 X 6 = 144 pi " squared  

r = 12 "  

area = 4 X pi X 12 X 12 = 576 pi" squared  

ANSWER Area will be 4 times the original

Step-by-step explanation:

Answer:

The answer is D. 8.7

Step-by-step explanation:

A=4πr2

Solving fore

r=1

2A

π=1

2·951.1

π≈8.69978in

Answer:

Faye's probability of pulling out a white marble is 3/80.

Step-by-step explanation:

To find the probability, we must first add everything up.  10 + 13 + 16 + 10 + 11 = 60 marbles.  Now we divide 60 by the amount of white marbles there are.  60 ÷ 16 = 3.75% or 3/80.  Therefore, the probability of Faye pulling out a white marble is 3/80.

Answer:

8 red beads, 72 green beads

Step-by-step explanation:

1  = x

6 = 48

9 = x

to get from 6 to 48 you multiply by 8 so do that for 1 and 9 to get the answer

1 · 8 = 8

9 · 8 = 72, 72+8 = 80  

Answer:

$47.15

Step-by-step explanation:

41x15%=6.15

6.15+41=47.15

Answer: $47.15

Step-by-step explanation:

[tex]41 (1+.15)\\41 (1.15)\\= 47.15[/tex]

or you could do it in pieces

[tex]41(.15)= 6.15\\41+6.15= 47.15[/tex]

Answer:

165 inches

Step-by-step explanation:

Answer:

the missing side length = 3

Step-by-step explanation:

Hello There!

This is a 30 - 60 - 90 degree special right triangle

We know this because in these types of triangle the hypotenuse is equal to twice the short leg

[tex]\sqrt{3} *2=2\sqrt{3}[/tex]

to calculate the missing side length (which is the long leg)

we multiply the short leg by [tex]\sqrt{3}[/tex]

[tex]\sqrt{3} *\sqrt{3} =3[/tex]

so the missing side length is 3