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lidiya [134]
3 years ago
10

You have 4 pounds of peanuts. You want to put it in the bags so that there is 2/3 pounds in each bag. How many bags can you fill

?
Mathematics
1 answer:
topjm [15]3 years ago
7 0

Answer:

6 bags

Step-by-step explanation:

This problem is essentially asking how many (\frac{2}{3}) peanut bags can one fill with (4) pounds of peanuts. This problem can be solved by divided (4) by (\frac{2}{3}). Set up the problem,

4 ÷ \frac{2}{3}

In order to divide by a fraction, one must change the multiplication sign to a division sign, then take the reciprocal of the second number, the fraction. In order to take the reciprocal of a fraction, switch the numerator (number on top) and the denominator (number on the bottom).

4 * \frac{3}{2}

Multiply,

\frac{12}{2}

Simplify,

6

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Solve the system of equations by graphing. x+y=-9 4x+y=-19
shutvik [7]

For this case we have the following system of equations:

x + y = -9\\4x + y = -19

We multiply the first equation by -4:

-4x-4y = 36

We have the following equivalent system of equations:

-4x-4y = 36\\4x + y = -19

We add the equations:

-4x + 4x-4y + y = 36-19\\-3y = 17\\y = - \frac {17} {3}

We find the value of the variable "x":

x = -9-yx = -9 - (- \frac {17} {3})\\x = -9 + \frac {17} {3}\\x = \frac {-27 + 17} {3}\\x = - \frac {10} {3}

Thus, the solution of the system is:

(x, y): (- \frac {10} {3}, - \frac {17} {3})

See the graphic in the attached image

ANswer:

(x, y): (- \frac {10} {3}, - \frac {17} {3})

See the graphic in the attached image

4 0
3 years ago
One angle of an isosceles triangle measures 100°. Which other angles could be in that isosceles triangle? Choose all that apply.
Ivenika [448]

Answer:

40 degrees

Step-by-step explanation:

The sum of the angles is 180.

A 100 degree angle cannot be a base angle because then

the sum of the base angles would be 200 degrees.

The 100 must be the vertex angle.

Equation:

x + x + 100 = 180

2x = 80

x = 40 degrees.

Each of the base angles is 40 degrees.

5 0
3 years ago
All three sides of a triangle are initially 5.0 long. One of the triangle's sides is oriented horizontally. The triangle is scal
zlopas [31]

Answer:

h = 3.62

Step-by-step explanation:

First, as both triangles have the same angles we can use the relationship of areas and sides corresponding to similar triangles as follows:

relation\ between\ areas=( relation\ between\ sides)^2\\\frac{0.7A}{A}=(\frac{s}{5})^2\\s= 5\sqrt0.7= 4.18

Now we know that the new triangle has sides of 4.18. Then, as these triangles are equilateral we can use the Pythagorean Theorem to find the height:

4.18^2=h^2+(\frac{4.18}{2})^2\\h=\sqrt (4.18^2-2.09^2)=3.62 m\\h= 3.62

Finally the height of this new triangle is 3.62 cm

6 0
2 years ago
Write an explict equation of how a computer at 2500$ depricates at the rate of 14% per year​
ahrayia [7]

Answer:

V(t)  = 2500(0.86)^t  where t = the year.

Step-by-step explanation:

Each year the  value will be 100 - 14 = 86% ( - 0.86) of the previous year.

6 0
3 years ago
8) 3/
Vaselesa [24]

Answer:

0.0085× 100= 0.85℅

Step-by-step explanation:

okay so you want 3/8 from 44 as percentage but how can you put the 3/8 on top of the 44 to multilply it by 100 to get the percentage, ofcourse we will have to change the 3/8 into a whole number. To do that we are going to do the following.

= 3 ÷ 8 = 0.375, so here you got a number that you can put on the 44.

Now to get the percentage we are going to do this:

0.375/44 × 100

= 0.0085 × 100 ( I solved the 0.375/44 as you know that division always comes first in maths)

= 0.85℅ ( I solved the 0.0085 × 100)

°•°•° I hope this helped sorry for taking long °•°•° May I get brainliest if you liked my ans im trying to lvl up ty and its okay if you don't want to

7 0
1 year ago
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