Given : 3x + 2(x — 5) = 32<br> prove : x = 84

Find the inequality represented by the graph.

DaniilM [7]

From the graph,

$y = \frac{1}{2}x + 2$

But this one is inequality so you gotta remember this:

When y > x/2+2

- The shade/region is above the graph itself.

When y < x/2+2

- The shade/region is below the graph.

Therefore, the inequality as shown in the picture is

$y > \frac{1}{2} x + 2$

6 0

2 years ago

Dottie’s art class began at 9:35 a.m. and ended at 1:42. How long was the art class? A. 3 hours, 7 minutes B. 4 hours, 7 minutes

mylen [45]

Your answer will be (B) simply use military time and subtract them and you'll get your answer best of luck.

8 0

2 years ago

Read 2 more answers

Determine the quotient: 2 4/7 ÷ 1 3/6

Scilla [17]

First we must change these numbers to improper fractions:

$2\frac{4}{7}=\frac{18}{7}$

$1\frac{3}{6}=\frac{9}{6}$

So then we set it up:

$\frac{18}{7}$ ÷ $\frac{9}{6}$

When we divide fractions like this, we must flip the second fraction and change the sign from division to multiplication like so:

$\frac{18}{7}*\frac{6}{9}$

Then we solve:

$\frac{108}{63}$

Then if we divide the numerator and the denominator by 9, we get:

$\frac{12}{7}$ or, in mixed-number form, $1\frac{5}{7}$ .

4 0

2 years ago

Vanessa deposits $24,000 into each of two savings accounts. Account I earns 2. 4% interest compounded annually. Account II earns

ikadub [295]

The sum of the balances of these accounts at the end of 5 years is given by: Option B: $53,901.59 (approx)

<h3>How to calculate compound interest's amount?</h3>

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

$CI = P(1 +\dfrac{R}{100})^T - P$

The final amount becomes:

$A = CI + P\\A = P(1 +\dfrac{R}{100})^T$

<h3>How to calculate simple interest amount?</h3>

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:

$I = \dfrac{P \times R \times T}{100}$

For the considered case, we're given that:

Initial amount in both accounts deposited = $24,000 = P
Type of interest: Compound interest in first account and simple interest in second account
Unit of time: Annually
Rate of interest = 2.4% annually = R
Total unit of time for which amount is to be calculated: 5 years = T

In first account, the final amount at the end of 5 years is evaluated as:

$A = 24000(1 + \dfrac{2.4}{100})^4 = 24000(1.024)^4 \approx 27021.59\: \rm (in \: dollars)$

In second account, the final amount at the end of 5 years is evaluated as:

$A = 24000 + \dfrac{24000 \times 2.4 \times 5}{100} = 24000 + 2880 = 26880 \text{\: (in dollars)}$

Total amount after 5 years in these accounts = $27021.59 + 26880 = 53901.59$ (in dollars)

Thus, the sum of the balances of these accounts at the end of 5 years is given by: Option B: $53,901.59 (approx)

Learn more about compound interest here:

brainly.com/question/11897800

4 0

1 year ago

For some particular website, the password must start with one of the letters W, X, Y, or Z. Then there must be 5 more charaters,

k0ka [10]

241,864,704 many different passwords are possible.

The total characters of the password is six in which it is given that first character should start with W, X, Y or Z. So the first character can be filled in 4 ways.

For next five characters it can be any letter of the alphabet or any numeric digit so it will be 26 + 10 = 36.

So second, third, fourth, fifth and sixth space can be taken by 36 characters.

Therefore the total no. of passwords will be 4 * 36 * 36 * 36 * 36 * 36 that is equal to 241,864,704.

To solve more questions like this

brainly.com/question/14767366

#SPJ1

3 0

10 months ago

Given : 3x + 2(x — 5) = 32 prove : x = 84