1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
astra-53 [7]
3 years ago
14

7. Marie can make 12 small mango pies for every 10 mangoes. How many pie

Mathematics
1 answer:
Marysya12 [62]3 years ago
8 0

Answer:

D. <em>Marie can make 60 pies</em>.

Step-by-step explanation:

In this problem, we know that amount of small mango pies is directly proportional to the amount of mangoes. The amount needed for preparing an amount of pies is calculated by simple rule of three:

A. <em>Marie can make 30 pies</em>.

x = \frac{10\,mangoes}{12\,pies}\times 30\,pies

x = 25\,mangoes

25 mangoes are required for producing 30 pies.

B. <em>Marie can make 40 pies</em>.

x = \frac{10\,mangoes}{12\,pies}\times 40\,pies

x = 33.333\,mangoes

34 mangoes are required for producing 40 pies.

C. <em>Marie can make 50 pies</em>.

x = \frac{10\,mangoes}{12\,pies}\times 50\,pies

x = 41.667\,mangoes

42 mangoes are required for producing 50 pies.

D. <em>Marie can make 60 pies</em>.

x= \frac{10\,mangoes}{12\,pies}\times 60\,pies

x = 50\,mangoes

50 mangoes are required for producing 60 pies.

The complete statement is: <em>Marie can make 12 small mango pies for every 10 mangoes.How many pies can she make with 50 mangoes. </em>

Hence, correct answer is D.

You might be interested in
It's in the attachment <br> URGENT
maxonik [38]

Step-by-step explanation:

\frac{2a}{a + b - c}  =  \frac{2b}{b + c - a}  =  \frac{2c}{a + c - b}  = k \\  \\ by \: theorem \: on \: equal \: ratios \\   \\ \frac{2a + 2b + 2c}{a + b - c + b + c - a + a + c - b}  = k \\  \\  \frac{2(a + b + c)}{a + b + c}  = k \\ \\   \therefore \: k = 2

5 0
3 years ago
1
MrRa [10]

Answer:

2,995 or 35,940(?)

Step-by-step explanation:

I don't exactly remember how to do this so, I'll show you two different ways I solved this

Use the formula I=P*r*t

I=Interest

P=Principal

r=rate

t=time

To solve this you'll have to...

The principal is 29,950, the rate is 5% but it'll become a decimal which is 0.05, and the time is 2

Put it into the formula form 29,950*0.05*2= 2,995 in interest

Or...

You'll use the same formula, but this time multiply 0.05 by 12 since there are 12 months in one year which is 0.6, so...

29,950*0.6*2=35,940 in interest

I hope one works!

4 0
3 years ago
30 POINTS FOR SOMEONE WHO ANSWERS MY QUESTIONS PLS IM FAILING
ziro4ka [17]

Answer:

ok i will answer only two which two do you want me to answer

Step-by-step explanation:

7 0
2 years ago
Use lagrange multipliers to find the point on the plane x â 2y + 3z = 6 that is closest to the point (0, 2, 4).
Arisa [49]
The distance between a point (x,y,z) on the given plane and the point (0, 2, 4) is

\sqrt{f(x,y,z)}=\sqrt{x^2+(y-2)^2+(z-4)^2}

but since \sqrt{f(x,y,z)} and f(x,y,z) share critical points, we can instead consider the problem of optimizing f(x,y,z) subject to x-2y+3z=6.

The Lagrangian is

L(x,y,z,\lambda)=x^2+(y-2)^2+(z-4)^2+\lambda(x-2y+3z-6)

with partial derivatives (set equal to 0)

L_x=2x+\lambda=0\implies x=-\dfrac\lambda2
L_y=2(y-2)-2\lambda=0\implies y=2+\lambda
L_z=2(z-4)+3\lambda=0\implies z=4-\dfrac{3\lambda}2
L_\lambda=x-2y+3z-6=0\implies x-2y+3z=6

Solve for \lambda:

x-2y+3z=-\dfrac\lambda2-2(2+\lambda)+3\left(4-\dfrac{3\lambda}2\right)=6
\implies2=7\lambda\implies\lambda=\dfrac27

which gives the critical point

x=-\dfrac17,y=\dfrac{16}7,z=\dfrac{25}7

We can confirm that this is a minimum by checking the Hessian matrix of f(x,y,z):

\mathbf H(x,y,z)=\begin{bmatrix}f_{xx}&f_{xy}&f_{xz}\\f_{yx}&f_{yy}&f_{yz}\\f_{zx}&f_{zy}&f_{zz}\end{bmatrix}=\begin{bmatrix}2&0&0\\0&2&0\\0&0&2\end{bmatrix}

\mathbf H is positive definite (we see its determinant and the determinants of its leading principal minors are positive), which indicates that there is a minimum at this critical point.

At this point, we get a distance from (0, 2, 4) of

\sqrt{f\left(-\dfrac17,\dfrac{16}7,\dfrac{25}7\right)}=\sqrt{\dfrac27}
8 0
3 years ago
Drag an answer to each box to complete this paragraph proof.
kramer
1.substitution property
4 0
3 years ago
Other questions:
  • Can a right triangle have two angles that measure 25 and 65
    8·1 answer
  • How many quarts in a pint
    14·2 answers
  • horatio climbed to the top of a ladder thst is 10 feet high. which number is the opposite of the number that represents horatios
    9·1 answer
  • Find the x 2x - 3 = 1
    9·2 answers
  • Solving Systems by Elimination
    9·1 answer
  • What is the perimeter of the triangle shown on the coordinate plane,to the nearest tenth of a unit ?
    9·1 answer
  • Please help me find the y-intercept! :(
    12·1 answer
  • HELPPPPPPPPPPPPPPPPPPPP QUICK PLEAAAAAAAAAAAASE
    8·1 answer
  • PLEASE HELP ME
    12·1 answer
  • PLEASE HELP ME WITH MY HOMEWORK I WILL GIVE Brainliest !!!!!
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!