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4 years ago

What is -8c+7+4c=-24

Mathematics

2 answers:

Goryan [66]4 years ago

8 0

Answer: c=31/4

Step-by-step explanation:

konstantin123 [22]4 years ago

4 0

Answer:

c= 7 3/4

Step-by-step explanation:

-8c+7+4c=-24

We move all terms to the left:

-8c+7+4c-(-24)=0

We add all the numbers together, and all the variables

-4c+31=0

We move all terms containing c to the left, all other terms to the right

-4c=-31

c=-31/-4

c=7+3/4

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there 7 adult adult chaperones and two third of the participants rode a large bus but if 54 people rode a large bus how students

statuscvo [17]

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~

54 * (2/3) = 36 students were on the bus.

54 - 36 = 18 chaperones were on the bus.

3 0

4 years ago

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Let f be a function of two variables that has continuous partial derivatives and consider the points

Sergeu [11.5K]

Answer:

The directional derivative of f at A in the direction of $\vec{u}$ AD is 7.

Step-by-step explanation:

Step 1:

Directional of a function f in direction of the unit vector $\vec{u}=(a,b)$ is denoted by $D\vec{u}f(x,y)$ ,

$D\vec{u}f(x,y)=f_{x}\left ( x ,y\right ).a+f_{y}(x,y).b$ .

Now the given points are

$A(8,9),B(10,9),C(8,10) and D(11,13)$ ,

Step 2:

The vectors are given as

AB = (10-8, 9-9),the direction is

$\vec{u}_{AB} = \frac{AB}{\left \| AB \right \|}=(1,0)$

AC=(8-8,10-9), the direction is

$\vec{u}_{AC} = \frac{AC}{\left \| AC \right \|}=(0,1)$

AC=(11-8,13-9), the direction is

$\vec{u}_{AD} = \frac{AD}{\left \| AD \right \|}=\left (\frac{3}{5},\frac{4}{5} \right )$

Step 3:

The given directional derivative of f at A $\vec{u}_{AB}$ is 9,

$D\vec{u}_{AB}f=f_{x} \cdot 1 + f_{y}\cdot 0\\f_{x} =9$

The given directional derivative of f at A $\vec{u}_{AC}$ is 2,

$D\vec{u}_{AB}f=f_{x} \cdot 0 + f_{y}\cdot 1\\f_{y} =2$

The given directional derivative of f at A $\vec{u}_{AD}$ is

$D\vec{u}_{AD}f=f_{x} \cdot \frac{3}{5} + f_{y}\cdot \frac{4}{5}$

$D\vec{u}_{AD}f=9 \cdot \frac{3}{5} + 2\cdot \frac{4}{5}$

$D\vec{u}_{AD}f= \frac{27+8}{5} =7$

The directional derivative of f at A in the direction of $\vec{u}_{AD}$ is 7.

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3 years ago

Write a real world problem for: 80-3x=53

Oxana [17]

Answer:

Sam had 80 dollars in his pocket. He was feeling generous, so he handed out equal amount of money to each of his friends. After he handed out the money, he had 53 dollars left. How much did Sam give out to each one of his friends?

Step-by-step explanation:

In this real-world problem, the money he had at the beginning resembles the 80 in the equation. The -3x is the money he gives out to each of his friends. The 53 on the right-hand side is the money he has left after he gives the money away.

6 0

3 years ago

I need help someone help me please

Licemer1 [7]

Answer:

it is 130 thats my answer

Step-by-step explanation:

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3 years ago

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Find the volume of the sphere. Either enter an exact answer in terms N(Pi) Or ya 3.14 for N(pi)

xz_007 [3.2K]

Full Question:

Find the volume of the sphere. Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth. with a radius of 10 cm

Answer:

The volume of the sphere is ⅓(4,000π) cm³ or 4186.67cm³

Step-by-step explanation:

Given

Solid Shape: Sphere

Radius = 10 cm

Required

Find the volume of the sphere

To calculate the volume of a sphere, the following formula is used.

V = ⅓(4πr³)

Where V represents the volume and r represents the radius of the sphere.

Given that r = 10cm,.all we need to do is substitute the value of r in the above formula.

V = ⅓(4πr³) becomes

V = ⅓(4π * 10³)

V = ⅓(4π * 10 * 10 * 10)

V = ⅓(4π * 1,000)

V = ⅓(4,000π)

The above is the value of volume of the sphere in terms of π.

Solving further to get the exact value of volume.

We have to substitute 3.14 for π.

This gives us

V = ⅓(4,000 * 3.14)

V = ⅓(12,560)

V = 4186.666667

V = 4186.67 ---- Approximated

Hence, the volume of the sphere is ⅓(4,000π) cm³ or 4186.67cm³

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4 years ago