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Paraphin [41]
3 years ago
13

benny has a total of 64 quarters and pennies in his pocket. these coins total $4.00 how many pennies are in Benny's pocket

Mathematics
1 answer:
levacccp [35]3 years ago
8 0
I think its 14 quarters and 50 pennies
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Please help solve please
irina1246 [14]
You just solved it.... do u need the work shown?
8 0
3 years ago
Solve this system using matrices:
sweet [91]

Answer:

Step-by-step explanation:

A system of linear equations is one which may be written in the form

a11x1 + a12x2 + · · · + a1nxn = b1 (1)

a21x1 + a22x2 + · · · + a2nxn = b2 (2)

.

am1x1 + am2x2 + · · · + amnxn = bm (m)

Here, all of the coefficients aij and all of the right hand sides bi are assumed to be known constants. All of the

xi

’s are assumed to be unknowns, that we are to solve for. Note that every left hand side is a sum of terms of

the form constant × x

Solving Linear Systems of Equations

We now introduce, by way of several examples, the systematic procedure for solving systems of linear

equations.

Here is a system of three equations in three unknowns.

x1+ x2 + x3 = 4 (1)

x1+ 2x2 + 3x3 = 9 (2)

2x1+ 3x2 + x3 = 7 (3)

We can reduce the system down to two equations in two unknowns by using the first equation to solve for x1

in terms of x2 and x3

x1 = 4 − x2 − x3 (1’)

1

and substituting this solution into the remaining two equations

(2) (4 − x2 − x3) + 2x2+3x3 = 9 =⇒ x2+2x3 = 5

(3) 2(4 − x2 − x3) + 3x2+ x3 = 7 =⇒ x2− x3 = −1

8 0
3 years ago
Read 2 more answers
Let u = <-4, 3>. Find the unit vector in the direction of u, and write your answer in component form. (2 points)
lana66690 [7]

Answer:  < -4/5,  3/5>

This is equivalent to writing < -0.8, 0.6 >

======================================================

Explanation:

Draw an xy grid and plot the point (-4,3) on it. Draw a segment from the origin to this point. Then draw a vertical line until reaching the x axis. See the diagram below.

We have a right triangle with legs of 4 and 3. The hypotenuse is \sqrt{4^2+3^2} = \sqrt{16+9} = \sqrt{25} = 5 through use of the pythagorean theorem.

We have a 3-4-5 right triangle.

Therefore, the vector is 5 units long. This is the magnitude of the vector.

Divide each component by the magnitude so that the resulting vector is a unit vector pointing in this same direction.

Therefore, we go from < -4, 3 > to < -4/5,  3/5 >

This is equivalent to < -0.8, 0.6 > since -4/5 = -0.8 and 3/5 = 0.6

Side note: Unit vectors are useful in computer graphics.

6 0
1 year ago
a pond at a hotel holds 4290 gallons. the groundskeeper drains the pond at a rate of 78 gallons per hour. how long will it take
Studentka2010 [4]
55 hours to drain it
5 0
3 years ago
some species of bacteria can copy their DNA and divide every 40 minutes. If a COLONY of 100 of these such bacteria begins with a
VikaD [51]

Answer:

The answer is 51,200 bacterium.

Step-by-step explanation: So you need to figure out the time between 12 and 6pm, then divide it by 40. 12-6 is 360 minutes, you divide by 40 and you get 9 divisions. Multiply the 100 x 2=200, 200 x 2 =400, and so on for 9 times.

You get a result of 51,200 bacterium.

8 0
2 years ago
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