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Lyrx [107]
2 years ago
11

Which of the following is the solution set of the given equation?

Mathematics
2 answers:
N76 [4]2 years ago
4 0

Answer:

x = -10

Step-by-step explanation:

GarryVolchara [31]2 years ago
3 0
Answer is -10
(x-3)-2(x+6)= -5
x-3-2x-12= -5
-x= -5+12+3
-x=10
x= -10
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For a given set of rectangles, the length is inversely proportional to the width. In one of these rectangles, the length is 58 a
goldfiish [28.3K]

Answer:

The width is 87

Step-by-step explanation:

Given

Represent Length with L and Width with W

Variation: Inverse Proportion

L \alpha \frac{1}{W}

L = 58; W = 3

Required

Solve for W when L = 2

First, we need to determine the constant of variation

L \alpha \frac{1}{W}

L = \frac{k}{W}

Where

k = constant of variation

Substitute the following values: L = 58; W = 3

58 = \frac{k}{3}

Solve for k

k = 58 * 3

k = 174

To solve for W when L = 2, we simply substitute values for L and K in the expression L = \frac{k}{W}

2 = \frac{174}{W}

Solve for W

2 * W = 174

2 W = 174

W = 174/2

W = 87

<em>Hence, the width is 87</em>

7 0
2 years ago
67000 dollars is placed in an account with an annual interest rate of 8.25%. how much will be in the account after 28 years, to
anastassius [24]

Answer:

The Amount of money in the account after 28 years is $616,674.5

Step-by-step explanation:

Given as :

The principal amount placed in the account = p = $67,000

The rate of interest = r = 8.25%

The time period of amount in the account = t = 28

Let the Amount of money in the account = $A

Now<u>, From Compound Interest method</u>

Amount = Principal × (1+\dfrac{\textrm rate}{100})^{\textrm time}

A = p × (1+\dfrac{\textrm r}{100})^{\textrm t}

Or, A = $67,000 × (1+\dfrac{\textrm 8.25}{100})^{\textrm 28}

Or, A = $67,000 × (1.0825)^{28}

Or, A = $67,000 × 9.2041

∴ A = $616,674.7

So, The Amount of money in the account = A = $616,674.5

Hence, The Amount of money in the account after 28 years is $616,674.5  Answer

5 0
2 years ago
In a certain Algebra 2 class of 27 students, 18 of them play basketball and 16
Bogdan [553]

Answer:

<em>The probability is 0.89 or 89%</em>

Step-by-step explanation:

<u>Probability</u>

There are n=27 students in a certain Algebra 2 class. 18 out of them play basketball and 16 of them play baseball.

We also know 3 students play neither sport. This leaves 27-3=24 students playing sports.

The probability that a randomly chosen student plays basketball or baseball is:

\displastyle p=\frac{24}{27}

Simplifying:

\displastyle p=\frac{8}{9}=0.89

The probability is 0.89 or 89%

6 0
2 years ago
Determine the slope<br> (5,-4), (19, -17)<br> what is the slope
frutty [35]

Answer:

m= -13/14

Step-by-step explanation:

use y=mx+b formula!

7 0
3 years ago
Write y=10x as a logarithmic function please
Margaret [11]
\bf \textit{exponential form of a logarithm}&#10;\\\\&#10;log_a  b=y \implies   a^y=  b\qquad\qquad &#10;%  exponential notation 2nd form&#10;a^y=  b\implies log_a  b=y \\\\&#10;-------------------------------\\\\&#10;y=10^x\implies log_{10}(y)=x
5 0
3 years ago
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