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3 years ago

15

Johnny and Mark's combined age is 26 years old. Johnny is two years older than twice Mark's age. Write a system of equations and

solve for each of their ages

1 answer:

yaroslaw [1]3 years ago

6 0

m * 2 + 2 = j

Answer:

Mark is 8

Johnny is 18

Step-by-step explanation:

m * 2 = j - 2

26 - 2 = 24

24 / 3 = 8

8 * 2 + 2 = 18

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Shelby spends 2/7 of her salary on her monthly rent and has $3455 left over. How much does she spend on her rent each month?

Zepler [3.9K]

Answer:

$1382

3455 is 5/7 of salary so divide 3455/5 = 691

then multiply 691x2 because rent is 2/7 of salary

691x2 = 1382

5 0

2 years ago

A salesperson earns a salary of $700 per month plus 2% of the sales. Which inequality correctly represents the total sales if th

My name is Ann [436]

Answer:

C. $x\geq 55000$

Step-by-step explanation:

Let x be the total monthly sales.

We have been given that a salesperson earns a salary of $700 per month plus 2% of the sales. The salesperson want to have a monthly income of at least $1800.

This means that 700 plus 2% of total monthly sales should be greater than or equal to 1800. We can represent this information in an equation as:

$700+(\frac{2}{100})x\geq 1800$

$700+0.02x\geq 1800$

Let us solve our inequality to find the monthly sales (x).

Subtract 700 from both sides of our inequality.

$700-700+0.02x\geq 1800-700$

$0.02x\geq 1100$

Divide both sides of inequality by 0.02.

$\frac{0.02x}{0.02}\geq \frac{1100}{0.02}$

$x\geq \frac{1100}{0.02}$

$x\geq 55000$

Therefore, the total monthly sales must be greater than or equal to 55,000 and option C is the correct choice.

5 0

3 years ago

Help please explain in detail

yaroslaw [1]

Answer:

1. (n + 3)(5n + 8)

2. (x - 4)(7x - 4)

3. (k + 8)(7k + 1)

Step-by-step explanation:

1. We have to factorize 5n² + 23n + 24.

Now, 5n² + 23n + 24

= 5n² + 15n + 8n + 24

= 5n (n + 3) + 8 (n + 3)

=(n + 3)(5n + 8) (Answer)

2. We have to factorize 7x² - 32x + 16

Now, 7x² - 32x + 16

= 7x² - 28x - 4x + 16

= 7x (x - 4) - 4 (x - 4)

= (x - 4)(7x - 4) (Answer)

3. We have to factorize 7k² + 57k + 8

Now, 7k² + 57k + 8

= 7k² + 56k + k + 8

= 7k (k + 8) + 1 (k + 8)

= (k + 8)(7k + 1) (Answer)

4 0

3 years ago

Which sequence could be described by the explicit definition: t_n=2^n+1t n = 2 n + 1

yuradex [85]

Answer:

2. 27

3. Option C. 3, 5, 9, 17, 33, ...

Step-by-step explanation:

2. The sequence is defined by the explicit function $t_{n} = 2^{n} - n$

Therefore, the 5th term i.e. $t_{5}$ of the sequence.

$t_{5} = 2^{5} - 5 = 32 - 5 = 27$ (Answer)

3. The explicit definition is $t_{n} = 2^{n} + 1$

Hence, $t_{1} = 2^{1} + 1 = 3$

$t_{2} = 2^{2} + 1 = 5$

$t_{3} = 2^{3} + 1 = 9$

$t_{4} = 2^{4} + 1 = 17$

Therefore, the option C is the right sequence. (Answer)

4 0

3 years ago

Read 2 more answers

A data set of with whole numbers has a low of 20 and a high value of 89

Vikentia [17]

Answer:

The range is 69

Step-by-step explanation:

We have that the least value of the data set is 20 and the highest value is 89.

From the available information, we can only find the range of the data set.

The range is the highest value minus the least value.

This implies that, the range is $89-20=69$

7 0

3 years ago