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3 years ago

A) 10 - 3(2a + 3) + 4(a - 6) Simplify

Mathematics

2 answers:

Veseljchak [2.6K]3 years ago

7 0

2becaude 10a -3 =7 colonial

ra1l [238]3 years ago

6 0

Answer:

-2a - 23

Step-by-step explanation:

10 - 3(2a+3) + 4(a-6)

10-6a-9 + 4(a-6)

10-6a-9 + 4a - 24

-23-6a+4a

-23-2a

Therefore, -2a - 23 is the answer

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Simplify <br>99=2(-7b-3)+7

Arisa [49]

Answer:

b=-7

Step-by-step explanation:

Simplifying

99 = 2(-7b + -3) + 7

Reorder the terms:

99 = 2(-3 + -7b) + 7

99 = (-3 * 2 + -7b * 2) + 7

99 = (-6 + -14b) + 7

Reorder the terms:

99 = -6 + 7 + -14b

Combine like terms: -6 + 7 = 1

99 = 1 + -14b

Solving

99 = 1 + -14b

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '14b' to each side of the equation.

99 + 14b = 1 + -14b + 14b

Combine like terms: -14b + 14b = 0

99 + 14b = 1 + 0

99 + 14b = 1

Add '-99' to each side of the equation.

99 + -99 + 14b = 1 + -99

Combine like terms: 99 + -99 = 0

0 + 14b = 1 + -99

14b = 1 + -99

Combine like terms: 1 + -99 = -98

14b = -98

Divide each side by '14'.

b = -7

Simplifying

b = -7

5 0

3 years ago

Read 2 more answers

7,,,,,,,,,,,,,,,,,,,,please help

Goryan [66]

Answer:

Step-by-step explanation:

The given expression is

$\frac{2^{\frac{11}{2} }\times 2^{-7}\times 2^{-5}}{2^3\times 2^{\frac{1}{2} }\times 2^{-10}}$

Recall and use

$a^m\times a^n=a^{m+n}$

$\frac{2^{\frac{11}{2} -7-5}}{ 2^{3+\frac{1}{2} -10}}$

$\frac{2^{-\frac{13}{2}}}{ 2^{-\frac{13}{2}}}$

Same bases are dividing, so we write one base and subtract the exponent.

$2^{-\frac{13}{2}+\frac{13}{2}}$

$2^0=1$

8 0

3 years ago

tickets for a harlem globetrotter show cost $28 general admission, $43 courtside, or $173 bench seats. Nine times as many genera

densk [106]

Answer:

general admission tickets 1170

courtside tickets 985

tickets bench seats. 130

Step-by-step explanation:

To solve the problem, it is necessary to generate a system of equations with the information provided by the statement.

First be

x = # general admission tickets

y = # courtside tickets

z = # tickets bench seats.

The first equation would be that they sold nine times more general admission tickets than bench seats tickets.

That is: x = 9 * z (1)

And the second equation is that the number of general admission tickets sold was 55 more than the sum of the number of courtside tickets and bench seats tickets.

That is: x = 55 + y + z (2)

Now the third equation would be the money raised.

28 * x + 43 * y + 173 * z = 97605 (3)

Now if I replace I rearrange (1):

z = x / 9 (4) and replacement in 2, I have:

x = 55 + y + x / 9, rearranging:

y = (8/9) * x - 55 (5)

Now replacing (4) and (5) in 3, we have:

28 * x + 43 * ((8/9) * x - 55) + 173 * (x / 9) = 97605

Solving the above:

x = 1170, therefore

y = (8/9) * 1170 55 = 985

z = 1170/9 = 130

We can confirm this with equation (3)

28 * x + 43 * y + 173 * z = 97605

28 * 1170 + 43 * 985 + 173 * 130 = 97605

5 0

3 years ago

Solve the following system of equations. (Hint: Use the quadratic formula.) f(x) = 2x² 3x g(x)=-3x² + 20 (0.-10) and (1, 17) (-2

jasenka [17]

The solution of the system of equation is the intersection point of the two quadratic equations, so we need to equate both equations, that is,

$2x^2-3x-10=-3x^2+20$

So, by moving the term -3x^3+20 to the left hand side, we have

$5x^2-3x-30=0$

Then, in order to solve this equation, we can apply the quadratic formula

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

In our case, a=5, b=-3 and c=-30. So we get

$x=\frac{3\pm\sqrt{(-3)^2-4(5)(-30)}}{2(5)}$

which gives

$\begin{gathered} x=2.76779 \\ and \\ x=-2.16779 \end{gathered}$

By substituting these points into one of the functions, we have

$f(2.76779)=-2.982$

and

$f(-2.16779)=5.902$

Then, by rounding these numbers to the nearest tenth, we have the following points:

$\begin{gathered} (2.8,-3.0) \\ and \\ (-2.2,5.9) \end{gathered}$

Therefore, the answer is the last option

4 0

1 year ago

A baby gains 11 pounds in its first year of life. The baby gained 4 1/4 pounds during the first four months and 3 1/2 pounds in

FromTheMoon [43]

Yhe baby gained 3 1/4 pounds

4 0

3 years ago

Read 2 more answers