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bulgar [2K]
3 years ago
8

A recipe calls for3/4

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
7 0

Answer:

1.00 cup

Step-by-step explanation:

-Given that for every 2 servings 3/4 cups of sugar is needed.

-Let X be the number of cups needed for 5 1/3 servings.

#We equate and cross-multiply the ratios to solve for X:

2 \ servings=\frac{3}{4}\ cups\\5\frac{1}{3}\ servings=X\\\\\therefore X=\frac{5\frac{1}{3}\times \frac{3}{4}}{2}\\\\=2\ cups

-We know that the baker already has 1 cup of sugar:

Balance=2-1\\\\=1\ cup

Hence, the baker needs an additional 1.00 cup of sugar

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Circle 1, Circle 2, and Circle 3 have the same center and have radii, respectively, of r₁ cm, r₂ cm, r₃ cm, where r₁ < r₂ &lt
ira [324]

Answer:

a) A₁ /A₂  =  r₁² / (r₂²   - r₁²)

b) A₂ /A₃  = (r₂²   - r₁²) / (r₃²   - r₂²)

Step-by-step explanation:

We have Circle 1  and area  A₁  

Area of circle 2 outside circle 1     =  A₂

Area of circle 3 outside circle 2    = A₃

On the other hand we have

A₁  = π*r₁²   area of circle 1

A₂´ =  π*r₂² area of circle 2

A₃´ = π*r₃²  area of circle 3

All areas in cm²

a) A₁ /A₂        

A₁  =  π*r₁²

According to problem statement  A₂  = π*r₂²  -   A₁

A₂  =  π*r₂²  -   π*r₁²      ⇒         A₂  =  π* (r₂²   - r₁²)

Then  A₁ /A₂  =   π*r₁² / [π* (r₂²   - r₁²)]

A₁ /A₂  =  r₁² / (r₂²   - r₁²)

b)  A₂ /A₃        

A₂  =   π* (r₂²   - r₁²)

And

A₃   =  π* (r₃²   - r₂²)

Therefore

A₂ /A₃  =   π* (r₂²   - r₁²) / π* (r₃²   - r₂²)  ⇒  A₂ /A₃  = (r₂²   - r₁²) / (r₃²   - r₂²)

A₂ /A₃  = (r₂²   - r₁²) / (r₃²   - r₂²)

6 0
3 years ago
Help please? It’s math.
Umnica [9.8K]
Answer:
X = 7/5
when the value of x is 7/5 the equation will be true
Step-by-step explanation:
To fine the value of x that makes the equation true, we equate the expression to zero to find the value of x.
Check attachment for processes
Therefore when the value of x is 7/5 the equation will be true
8 0
3 years ago
Factor as the product of two binomials.<br> 22 + 11x + 18
Dahasolnce [82]

Answer:

11x +40

Step-by-step explanation:

Add 22 and 18 and the result will be as above.

4 0
3 years ago
If f(x) = 3x^2+ 3x^(1/2) + 3x, then f(-9) is equal to
ivanzaharov [21]

Since

f(x)=3x^2+3\sqrt{x}+3x

the domain of f(x) is the set of non-negative integers, because we can't feed a square root with negative inputs. So, you couldn't comput f(-9)

Unless you're allowed to use complex numbers, in that case we have

f(-9)=3\cdot (-9)^2+3\sqrt{-9}+3\cdot (-9)=3\cdot 81+3\cdot (9i)-27

Which evaluates to

243+27i-27=216+9i

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3 years ago
I need help on the Math question?
mrs_skeptik [129]

Answer:

The answer is D.

Step-by-step explanation:

3x*3x = 9x^2

3x*2= 6x

5*3x=15x

5*2=10

6x+15x=21x

9x^2+21x+10

3 0
3 years ago
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