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2 years ago

What -79.54 divided by -9.7

Mathematics

2 answers:

Paha777 [63]2 years ago

8 0

It is 8.2. One way to get it is to use long division and you get 794.5/97 and solve that.

vodka [1.7K]2 years ago

6 0

(-79.54) / (-9.7) = 8.2

Steps:

Conversion: 79.54 = 7954/100 = 3977/50
Unary minus: -79.54 = -3977/50
Conversion: 9.7 = 97/10
Unary minus: -9.7 = -97/10
Divide: -3977/50 / (-9710) = -397750 · 10-97 = -3977 · (-10)50 · 97 = 397704850 = 415

To divide one fraction by another, invert (turn upside-down) the second fraction, then multiply.

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A salesperson at a car dealership has a base salary of $25,000 per year and earns 5% commission on total sales.

Effectus [21]

So the person makes $50,000 minus the base salary of $25,000 which means he must make $25,000 in commissions.

So we have to figure out $25,000 is 5% of how much. There are many ways to do this.

5% is like saying 5/100. So $25,000 x 100/5 = $500,000

Or, to go from 5% to 100% you multiply by 20. Therefore your answer is $25,000 x 20= $500,000

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2 years ago

What is the solution to the system below? y = -3x - 2 6x + 2y = -4

Alja [10]

Answer:

Infinitely many solutions

Step-by-step explanation:

Since y=-3x-2, plug it in (2)

6x+2(-3x-2)=-4.

Distribute:

6x-6x-4=-4

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Hope this helps :)

4 0

2 years ago

2,000.h for h = 0.004 2,000 h =

Gekata [30.6K]

Answer:

$h=2\times 10^6$

Step-by-step explanation:

We need to find h for the following condition.

2,000×h = 0.004

Dividing both sides by 2000

$\dfrac{2000h}{2000}=\dfrac{0.004}{2000}\\\\h=0.000002\\\\h=2\times 10^6$

So, the value of h is equal to $2\times 10^6$ .

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2 years ago

Find the error in the following sample of work, if one exists.

ch4aika [34]

Answer:

D. There is no mistake.

Step-by-step explanation:

The following lines show the process of factorization by using common factor.

Line 1:

In line 1, the equation is given and is completely fine.

$y^{2}+8xy+2y+16x=0$

The only thing missing was equate to zero, but the options below talk about correct factors only, therefore this can't be considered as a mistake and can be ignored completely.

Line 2:

In line 2, the terms are grouped, from which we can factor out common terms.

$(y^{2}+8xy)+(2y+16x)=0$

This is also fine.

Line 3:

In line 3, the common term y is taken out from group 1 and 2 from other group.

$y(y+8x)+2(y+8x)=0$

which is exactly what is given in line 3.

Line 4:

In line 4 the common factors can be seen and easily split into 2 factors.

$(y+2)(y+8x)=0$

which is exactly what is given in line 4.

Options:

A. The grouping is correct in line 2. So this option is does not hold.

B. Common factor was factored correctly from group 1. So this option does not hold.

C. Common factor was factored correctly from group 2. So this option does not hold.

D. There is no mistake. This is correct. Thus we choose this option as correct answer.

3 0

2 years ago

1. Jeremy has $12000 cash to invest in the bank compounded at 4% interest annually.

gavmur [86]

Answer:

$A(x) = 12000(1.04)^x$

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

$12000 cash

This means that $P = 12000$