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Murrr4er [49]
3 years ago
6

Just need someone to explain how I simplified it to -2a+15b/ 4

Mathematics
2 answers:
nikitadnepr [17]3 years ago
6 0

Answer:

Step-by-step explanation:

3(4a + 6b) = 3*4a + 3*6b = 12a + 18b

-2(7a + b) = -2*7a + (-2)*b = -14a - 2b

\frac{5[3(4a+6b)-2(7a+b)-b]}{20}=\frac{5[12a+18b-14a-2b-b]}{20}\\\\ \frac{5[-2a+15b]}{20}=\frac{15b-2a}{4}

x =1/4

Shtirlitz [24]3 years ago
4 0

X = 1/4 ?

since multiplying fractions is straight across,

1/4 * (15b -2a) would result in the simplification you got.

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Determine the radius and center of the circle with the following equation <br> x^2+y^2-12x+24y-10=6
PolarNik [594]

Answer:

Center: (6, -12)

Radius: 4

Step-by-step explanation:

<u>Complete the squares</u>

<u />x^2+y^2-12x+24y-10=6\\\\x^2-12x-10+y^2+24y=6\\\\x^2-12x-10+46+y^2+24y+144=6+46+144\\\\(x^2-12x+36)+(y^2+24y+144)=196\\\\(x-6)^2+(y+12)^2=196

Comparing with the standard form equation (x-h)^2+(y-k)^2=r^2, since r^2=196, then the radius of the circle is r=14. Also, the center of the circle would be (h,k)\rightarrow(6,-12).

8 0
2 years ago
e. Translate the word problem below into an equation; then solve. It only takes Vera 2 hours to sew 1 dress, but it takes Ivy 4
Daniel [21]

Using the together rate, it is found that it would take them 16 hours to sew 12 dresses.

<h3>What is the together rate?</h3>

The together rate is the <u>sum of each separate rate</u>.

In this problem, we have that:

  • Vera's rate is of 1/2.
  • Ivy's rate is of 1/4.

Hence, the together rate is the time it would take them to produce one dress working together, and is given by:

\frac{1}{x} = \frac{1}{2} + \frac{1}{4}

\frac{1}{x} = \frac{2 + 1}{4}

3x = 4

x = \frac{4}{3}

Then one dress takes \frac{4}{3} of an hour, and the time for twelve dresses is:

t = 12 \times \frac{4}{3} = 4(4) = 16

It would take them 16 hours to sew 12 dresses.

To learn more about the together rate, you can take a look at brainly.com/question/25159431

6 0
2 years ago
The cost of going to a drive-in movie theater is $5. 50 per person plus $2. 75 per car. Use the dropdown menu to create an algeb
Pie

The algebraic equation which shows that the number of <em>x </em>people can go to the drive-in with one car for $19. 25 is,

5.50x+2.75=19.25

<h3>How to write algebraic equation?</h3>

Algebraic equation are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

Steps to write down the simple algebraic equation-

  • Identify all the factors of the expression.
  • Assume a variable for the changing values.
  • Put a coefficient for the variable, if there is any rate of change of variable.
  • Use constant numbers for the fixed values.

The cost of going to a drive-in movie theater is $5.50 per person plus $2.75 per car. It has to create an algebraic equation that shows how many people can go to the drive-in with one car for $19. 25.

Suppose the total number of people in the car for drive-in movie theater is <em>x</em>. Thus, the cost of the<em> </em><em>x</em> person to watch the movie is,

C=5.50x

As the cost of one car is $2.75. Thus, the total cost of watching a movie by x person will be,

C=5.50x+2.75

Now, the total cost, drive-in with one car for $19. 25. This cost must be equal to the above expression for total cost. Therefore,

C=5.50x+2.75=19.25

Hence, the algebraic equation which shows that the number of <em>x </em>people can go to the drive-in with one car for $19. 25 is,

5.50x+2.75=19.25

Learn more about the algebraic expression here;

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7 0
2 years ago
Please help me.Find the value of x in the isosceles triangle shown below​
blagie [28]

There is an isosceles triangle.

The triangle is like two right triangles put together.

To find out the height of the triangle, we remove the other right triangle and we use the other triangle to find the height using the Pythagorean theorem.

Phytagoras Theorem :

b² = c² - a²

x² = 8² - (6÷2)²

x² = 64 - 3²

x² = 64 - 9

x² = 55

x = √55

So, the value of x is √55 (B)

<em>Hope </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>

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3 years ago
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