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miv72 [106K]
3 years ago
5

42 < –6d solve the inequality.

Mathematics
2 answers:
QveST [7]3 years ago
6 0

Answer:

d\:>\:-7

Step-by-step explanation:

The given inequality is

42\:

We need to divide both sides of the inequality by -6 and reverse the inequality sign.

\frac{42}{-6} \:>\:\frac{-6d}{-6}

We now cancel out the common factors to get;

-7\:>\:d

We can rewrite this as;

d\:>\:-7

tia_tia [17]3 years ago
4 0

Answer:

-7d

Step-by-step explanation:

42 divided by -6 =7d

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8 0
3 years ago
. If y varies directly with x, and y = -35 and x=7, what is x when y = -85?
sertanlavr [38]

Answer:

x = 17

Step-by-step explanation:

Direct variation is given by

y = kx  where k is the constant of variation

-35 = k*7

-35/7 = k

-5 = k

y = -5x

We know y = -85

-85 = -5x

Divide each side by -5

-85/-5 = x

17 =x

3 0
3 years ago
What is the slope of a line that passes through (–8,–16) and (18,5)?
kap26 [50]

slope=(-16-5)/(-8-18)=21/26

8 0
3 years ago
What is the right answer
bazaltina [42]

Answer:

1. B- Two quarters

2. B-Two quarters

3. A- One half

5 0
2 years ago
Read 2 more answers
A bank loaned out $14000, part of it at the rate of 9% per year and the rest at 17% per year. If the interest received in one ye
WINSTONCH [101]

Using simple interest, it is found that $13,872 was loaned at 9%.

<h3>Simple Interest</h3>

The amount of money after t years in simple interest is modeled by:

A(t) = P(1 + rt)

In which:

  • P is the initial amount.
  • r is the interest rate, as a decimal.

The interest earned is:

I(t) = Prt

A bank loaned out $14000, in two parts, hence:

P_2 = 14000 - P_1

Part of it at the rate of 9% per year and the rest at 17% per year, hence:

r_1 = 0.09, r_2 = 0.17

The interest received in one year totaled $2000, hence:

I_2 = 2000 - I_1

Then:

I_1 = 0.09P_1

I_2 = 0.17I_2

14000 - P_1 = 0.17(2000 - I_1)

Isolating I_1 as a function of P_1, then we can replace on the equation for the first interest.

14000 - P_1 = 340 - 0.17I_1

0.17I_1 = -13660 + P_1

I_1 = \frac{P_1 - 13660}{0.17}

Then:

I_1 = 0.09P_1

\frac{P_1 - 13660}{0.17} = 0.09P_1

P_1 - 13660 = 0.0153P_1

0.9847P_1 = 13660

P_1 = \frac{13660}{0.9847}

P_1 = 13872

$13,872 was loaned at 9%.

To learn more about simple interest, you can take a look at brainly.com/question/25296782

3 0
2 years ago
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