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
Grace [21]
3 years ago
14

Manuel bought 9 pounds of apples. He has eaten three fourths of a pound so far and has​ $15 worth of apples left. Write and solv

e an equation to find the cost of the apples per pound to the nearest dollar. How much did the apples cost per​ pound?
Mathematics
2 answers:
leonid [27]3 years ago
8 0
8.25x= 15 so.... 15/8.25=x so.... 1.81~=x so.... To the nearest dollar it 2$/lb
julia-pushkina [17]3 years ago
7 0

Answer: Cost of apples per pound is $6.67.

Step-by-step explanation:

Since we have given that

Number of pounds of apples = 9

Fraction of pounds of apples he has eaten = \dfrac{3}{4}

Number of pounds of apples he has eaten is given by

\dfrac{3}{4}\times 9\\\\=\dfrac{27}{4}

Number of pounds of apples left is given by

9-\dfrac{27}{4}\\\\=\dfrac{36-27}{4}\\\\=\dfrac{9}{4}

Cost of remaining apples = $15

Let the cost of each apple be 'x'.

According to question, our equation becomes,

\dfrac{9}{4}\times x=15\\\\x=15\times \dfrac{4}{9}\\\\x=\$6.67

Hence, cost of apples per pound is $6.67.

You might be interested in
(5x10^3)x(9x10^7) can someone please answer this for me.
Anna11 [10]
4.5 times 10^10

1. Multiply 5times ten to the third

2. Multiply 9 times ten raised to the seventh

Then multiply them together
5000 times 90000000
5 0
3 years ago
Two lines, C and D, are represented by the following equations:
guapka [62]

Answer:

(−2, 3), because both lines pass through this point

Step-by-step explanation:

The meaning of "solution to the system of equations" is that both lines intersect at the solution point. That is, they both pass through that point.

8 0
3 years ago
Read 2 more answers
Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of
tresset_1 [31]

Because I've gone ahead with trying to parameterize S directly and learned the hard way that the resulting integral is large and annoying to work with, I'll propose a less direct approach.

Rather than compute the surface integral over S straight away, let's close off the hemisphere with the disk D of radius 9 centered at the origin and coincident with the plane y=0. Then by the divergence theorem, since the region S\cup D is closed, we have

\displaystyle\iint_{S\cup D}\vec F\cdot\mathrm d\vec S=\iiint_R(\nabla\cdot\vec F)\,\mathrm dV

where R is the interior of S\cup D. \vec F has divergence

\nabla\cdot\vec F(x,y,z)=\dfrac{\partial(xz)}{\partial x}+\dfrac{\partial(x)}{\partial y}+\dfrac{\partial(y)}{\partial z}=z

so the flux over the closed region is

\displaystyle\iiint_Rz\,\mathrm dV=\int_0^\pi\int_0^\pi\int_0^9\rho^3\cos\varphi\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=0

The total flux over the closed surface is equal to the flux over its component surfaces, so we have

\displaystyle\iint_{S\cup D}\vec F\cdot\mathrm d\vec S=\iint_S\vec F\cdot\mathrm d\vec S+\iint_D\vec F\cdot\mathrm d\vec S=0

\implies\boxed{\displaystyle\iint_S\vec F\cdot\mathrm d\vec S=-\iint_D\vec F\cdot\mathrm d\vec S}

Parameterize D by

\vec s(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec k

with 0\le u\le9 and 0\le v\le2\pi. Take the normal vector to D to be

\vec s_u\times\vec s_v=-u\,\vec\jmath

Then the flux of \vec F across S is

\displaystyle\iint_D\vec F\cdot\mathrm d\vec S=\int_0^{2\pi}\int_0^9\vec F(x(u,v),y(u,v),z(u,v))\cdot(\vec s_u\times\vec s_v)\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^{2\pi}\int_0^9(u^2\cos v\sin v\,\vec\imath+u\cos v\,\vec\jmath)\cdot(-u\,\vec\jmath)\,\mathrm du\,\mathrm dv

=\displaystyle-\int_0^{2\pi}\int_0^9u^2\cos v\,\mathrm du\,\mathrm dv=0

\implies\displaystyle\iint_S\vec F\cdot\mathrm d\vec S=\boxed{0}

8 0
3 years ago
Mrs. thomas has 18 cups of popcorn. she wanted to divide the popcorn into 2/3 cup bags.how many bags can she make ?
Usimov [2.4K]
18 ÷ (2/3) = 18 × (3/2) = 18×3/2 = 9×3 = 27
The answer is 27
3 0
3 years ago
38.3 cm<br> Р<br> 0 12.6 cm R
nasty-shy [4]

Answer:

Step-by-step explanation: F 50.9 cm (H 25.7 cm. G 46.3 cm. -38.3 cm. G 46.3 cm. 921.3 cm. Ø 12.6em Å ... Р. 3 - с. 2, +6:48 348 р. 8. Find the distance between P(2, 8) and Q15, 3). F9 ... REVIEW VOCABULARY!!!!! R=0 tre of the two angles. Atab=180. 2 ДО - Чx 49.

7 0
2 years ago
Other questions:
  • In the diagram of circle C, m∠VWX is 43°. What is measure of arc vx?
    7·2 answers
  • 8-2x=5<br> Please help in the next ten minutes
    7·2 answers
  • Find all solutions to the following equation. If there are any extraneous solutions, identify them and explain why they are extr
    11·1 answer
  • If one leg of a right triangle measures 3 centimeters and the other leg measures 6 centimeters, what is the length of the hypote
    12·2 answers
  • What are partial products of 1274x2=2548
    8·1 answer
  • How many triangles exist with the given side lengths?
    14·1 answer
  • In the diagram, StartFraction V Z Over Y Z EndFraction = StartFraction W Z Over X Z EndFraction.
    10·1 answer
  • Bills plant grew at the rate of 1 1/2. How tall would the plant be after 3 weeks
    11·2 answers
  • Use the distributive property to write equivalent expressions. <br><br> Someone please help, ty!
    10·1 answer
  • Please help! Help Will Give 100 PTS
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!