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3 years ago

Is it true that for any two nonzero integers the product and quotient have the same sign?

1 answer:

7 0

<span>The rule of signs is the same for multiplication and division. Two numbers with the same sign, multiplied or divided, the answer is positive. Two numbers with different signs, multiplied or divided, the answer is negative. </span>

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Which expression is equivalent to (5x^3)(2x)^3

Taya2010 [7]

Hello:
(5x^3)(2x)^3 = (5x^3)(2)^3(x)^3 = <span>(5x^3)8x^3=40x^6 ... (answer C)</span>

3 0

3 years ago

Read 2 more answers

How many triangles can be formed

Nastasia [14]

Answer:

B. One

Step-by-step explanation:

Since the two angles are already given, the value of the third angle is already fixed. The third angle can be found by the sum of both angles subtracted from 180. Since 2 angles and lengths are already given, there can only be 1 triangle.

Hope this helps!

If not, I am sorry.

6 0

2 years ago

Part of the proceeds from a garage sale was $470 worth of $10 and $20 bills. If there were 14 more $10 bills than $20 bills, fin

Brums [2.3K]

There are 25 $10 bills and 11 $20 bills.

Step-by-step explanation:

Given,

Worth of proceeds from garage = $470

Let,

x be the number of $10 bills

y be the number of $20 bills.

According to given situation;

10x+20y=470 Eqn 1

x = y+14 Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$10(y+14)+20y=470\\10y+140+20y=470\\30y=470-140\\30y=330$

Dividing both sides by 30

$\frac{30y}{30}=\frac{330}{30}\\y=11$

Putting y=11 in Eqn 2

$x=11+14\\x=25$

There are 25 $10 bills and 11 $20 bills.

Keywords: linear equation, substitution method

Learn more about linear equations at:

#LearnwithBrainly

5 0

3 years ago

Please help me I have been stuck for a while now

luda_lava [24]

Answer:

Option 3

Step-by-step explanation:

Pythagorean Theorem:

$A^2 + B^2 = C^2 \\\\300^2 + 400^2 = 500^2$

3 0

3 years ago

Betty decides to set aside $200/month. If her monthly 401(k) savings are earning 5.4% APR compounded monthly, what will the bala

Tatiana [17]

Answer:

(9) $339076.60 (10) $72000 (11) $220800

Note: Kindly find an attached copy of the complete question given below. i solved for 9,10,11 only.

Step-by-step explanation:

Solution

Given that:

Betty set aside $200/month

With a 401 (k) savings

t = 40 years

APR = 5.4%

Now we find the balance in her account after 40 years.

Now,

A = PMT [(1 +r/n)^nt -1]/(r/n)

A = 200 [ (1 + 0.054/12)^(12)(40) - 1]/(0.054/12)

A= $339076.60

(10) Recall that:

t = 40 years

Per month deposit = $150 dollar

The total deposit becomes

t = 40 * 12 = 480 Month

Total deposit = 480 * 150

=$72000

(11) Now we find the less money she received in her paychecks

Thus

Without monthly saving paycheck is =$2300

Now,

For 40 years becomes = $2300 * 40 * 12

=$1,104000

So,

20% of tax deducted = 20/100 * $1,104000

=$220800

Therefore the less amount received in 40 years is $220800

Note:( My research for the complete question was from quiz let, chegg)

3 0

3 years ago