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3 years ago

Evaluate the quotient of 1.05 x 103 and 1 x 103:

2 answers:

8 0

The answer would be Letter C

(1.05 x 10^3)
-----------------
(1 x 10^3)

Divide the 1.05 by 1 and get 1.05
Divide 10^3/10^3 and get 10^(3-3) = 10^0
So: 1.05 x 10^0

Flauer [41]3 years ago

8 0

Answer:

C) $1.05\times 10^0$

Step-by-step explanation:

Here, the given expression is,

$\frac{1.05\times 10^3}{1\times 10^3}$

$=\frac{1.05\times 10^3\times 10^{-3}}{1}$ $(a^m=\frac{1}{a^{-m}})$

$=1.05\times 10^{3-3}$ $(a^m.a^n=a^{m+n})$

$=1.05\times 10^0$

Which is the required quotient.

Option 'C' is correct.

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Step-by-step explanation:

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2 years ago

Read 2 more answers

7. Veronica is choosing between two health clubs.

vesna_86 [32]

Answer:

The total cost for each health club will be the same after 4 months.

Step-by-step explanation:

Let A = membership fee for studio A

B = membership fee for studio B

x= membership month

$A = 22 + 24.5x$

$B = 47.00 + 18.25x$

We want to when the total cost at each health studio is the same.

In other words, when A = B.

Therefore, the expression becomes

$A = B$

$22\:+\:24.5x=47.00\:+\:18.25x$

Step 1: Simplify both sides of the equation.

$24.5x+22=18.25x+47$

Step 2: Subtract 18.25x from both sides.

$24.5x+22-18.25x=18.25x+47-18.25x$

$6.25x+22=47$

Step 3: Subtract 22 from both sides.

$6.25x+22-22=47-22$

$6.25x=25$

Step 4: Divide both sides by 6.25

$\frac{6.25x}{6.25}=\frac{25}{6.25}$

$x=4$

Therefore, the total cost for each health club will be the same after 4 months.

8 0

2 years ago

A stadium has 45,000 seats. Seats sell for $28 in Section A, $24 in Section B, and $20 in Section C. If section C held 300 fewer

White raven [17]

Answer:

Let's define the variables:

A = number of seats in section A.

B = number of seats in section B.

C = number of seats in section C.

We have the equations:

A + B + C = 45,000.

C - 300 = B/2

A*$28 + B*$24 + C*$20 = $1,139,200

This is a system of equations, the first step to solve this is to isolate one variable in one of the equations, and then replace it in the others.

I will isolate C in the second equation:

C = B/2 + 300.

Now let's replace this in the other two equations:

A + B + B/2 + 300 = 45,000

A*$28 + B*$24 + (B/2 + 300)*$20 = $1,139,200

Let's simplify these equations:

A + B*(3/2) = 44,700

A*$28 + B*$34 + $6,000 = $1,139,200

Now let's isolate A in the first equation:

A = 44,700 - B*(3/2)

Let's replace this in the other equation:

(44,700 - B*(3/2))*$28 + B*$34 + $6,000 = $1,139,200

Now let's solve this for B.

-B*$8 + $1,252,200 = $1,139,200

-B*$8 = $1,139,200 - $1,252,200 = -$113,000

B = $113,000/8 = 14,125

Now we can replace that in the equations:

A = 44,700 - B*(3/2) = 44,700 - 14,125*(3/2) = 23,512.5, that we should round up to 23,513.

And C = B/2 + 300 = 7362.5

As we rounded the previous one up, we should round this one down to 7362.

3 0

2 years ago

* 20 points * help me please.?????........???!

lorasvet [3.4K]

$y=ax^2+bx+c$

A parabola is open up if a > 0.
The vertex formula: $y=a(x-h)^2+k$
(h; k) - the coordinates of the vertex
$B.\ y=x^2+10x+24=x^2+2x\cdot5+24=x^2+2x\cdot5+5^2-5^2+24=(x+5)^2-1$
Therefore h = -5 < 0
Answer: B. y = x² + 10x + 24.

3 0

3 years ago

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bekas [8.4K]

Answer:

I'm pretty sure the answer is 48 feet.

Step-by-step explanation:

It can't be any of the negative answers since the question didn't start with a negative number, and it can't be 14 feet since he started with 15 feet, so it has to be 48 feet.

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2 years ago