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stiv31 [10]
3 years ago
6

Solve each equation. check your solution. -1/2x-7=-11

Mathematics
2 answers:
boyakko [2]3 years ago
6 0
- \frac{1}{2} x-7=-11\

- \frac{1}{2} x=-11+7          |adding 7 on both sides

- \frac{1}{2} x*2=-4*2         |multiplying by -2 on both sides

-x = -8                                |dividing by -1 on both sides

x = 8

So, the solution is x =8
cupoosta [38]3 years ago
4 0
I'll offer you a deal in return for your 5 points:  I'll solve it . . . . You check it.

<u>-1/2x - 7  = -11</u>

Add  7  to each side:            -1/2 x  =  -4

Multiply each side by  2 :      - x  =  -8

Multiply each side by  -1 :     <em> x  =  8</em>

Take it Allalala !

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According to one study, the average American shower lasts for 8.2 minutes and uses 17.2 gallons of water (Alliance for Water Eff
Alex_Xolod [135]

Answer:

We conclude that the average American shower needs 2984.8 minutes and 6260.8 gallons of water during the year.

Step-by-step explanation:

We know that the average American shower lasts for 8.2 minutes and uses 17.2 gallons of water. A person showers once a day for a year.

We know that one year have 52 weeks, and one week have 7 days.  

We calculate:

8.2 · 7 · 52= 2984.8 minutes.

17.2 · 7 · 52= 6260.8 gallons.

We conclude that the average American shower needs 2984.8 minutes and 6260.8 gallons of water during the year.

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3 years ago
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<h2>Options A, B and C are correct choices. :) !!</h2>

Step-by-step explanation:

We have been given that Mael 15 ml of bleach with 3.75 liters of water to make a sanitizing solution for a daycare.

Let us see our given options one by one to find which could be combinations of volumes of bleach and water for Mael's sanitizing solution.

Let us compare our given volume proportions with volume proportion of Mael's sanitizing solution.  

A. 12 ml bleach and 3 liters of water.

We can see that both proportions are equal, therefore, option A is a correct choice.

B. 6 ml bleach and 1.5 liters of water.

We can see that both proportions are equal, therefore, option B is a correct choice.

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We can see that both proportions are equal, therefore, option C is a correct choice.

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3 years ago
The graph of $y=ax^2+bx+c$ passes through points $(0,5)$, $(1,10)$, and $(2,19)$. Find $a+b+c$.
MAVERICK [17]

Answer:

a+b+c=10

Step-by-step explanation:

We are given that the graph of the equation:

y=ax^2+bx+c

Passes through the three points (0, 5), (1, 10), and (2, 19).

And we want to find the value of (<em>a</em> + <em>b</em> + <em>c</em>).

First, since the graph passes through (0, 5), its <em>y-</em>intercept or <em>c</em> is 5. Hence:

y=ax^2+bx+5

Next, since the graph passes through (1, 10), when <em>x</em> = 1, <em>y</em> = 10. Substitute:

(10)=a(1)^2+b(1)+5

Simplify:

5=a+b

The point (2, 19) tells us that when <em>x</em> = 2, <em>y</em> = 19. Substitute:

(19)=a(2)^2+b(2)+5

Simplify:

14=4a+2b

This yields a system of equations:

\begin{cases} 5 = a + b \\ 14 = 4a + 2b\end{cases}

Solve the system. We can do so using elimination (or any other method you prefer). Multiply the first equation by negative two:

-10=-2a-2b

Add the two equations together:

(-10)+(14)=(-2a+4a)+(-2b+2b)

Combine like terms:

4 = 2a

Hence:

a=2

Using the first equation:

5=(2)+b\Rightarrow b=3

Therefore, our equation is:

y=2x^2+3x+5

Thus, the value of (<em>a</em> + <em>b</em> + <em>c</em>) will be:

a+b+c = (2) + (3) + (5) = 10

7 0
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