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3 years ago

8

Helppp I need the right answer quick

1 answer:

MissTica3 years ago

7 0

1. Two consecutive integers means that the values are whole numbers and they are located right after the other (eg. 2, 3).

Now, let us call the smaller value x. The consecutive value will be one greater than x, thus the larger value may be written as x + 1.

2. We know that the product of the two values is 420. Given that the smaller value is x and the larger value is x + 1, we can write this as:

x(x + 1) = 420

3. Now we can expand to get:

x^(2) + x = 420

4. Now subtract 420 from both sides to get:

x^(2) + x - 420 = 0

Therefor, the constant of the quadratic expression is -420.

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A restaurant worker server earns a base salary of $6 per hour plus tips. If he averages $12 per hour in tips, how many hours mus

zhannawk [14.2K]

18.5 hours

To solve this problem, you first need to figure out the average amount of money per hour the worker earns.

That would be the base salary plus the average tips per hour. So

$6 + $12 = $18

Then to figure out how many hours the worker needs to work, divide the goal by the hourly earnings. So

$333 / $18 = 18.5 hours.

Therefore on average, it will take 18.5 hours to earn $333, assuming a base salary of $6/hour and an average of $12 in tips per hour.

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3 years ago

What percent of the students prefer superhero movies? Round your answer to the nearest whole number percent Delta Math

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Step-by-step explanation:

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2 years ago

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PIT_PIT [208]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

How can I factor 5x^2 + 26x - 24 = 0 using the completing the square method.

kifflom [539]

<h2><u>QUADRATIC EQUATION</u></h2>

<h2> $\mathbb{ANSWER:}$ </h2>

$\bold{x = 0.8 \: } \: \sf \: {\color{grey}or} \: \: \: \bold{ x= \frac{4}{5} } \\$

$\bold{x = - 6}$

— — — — — — — — — —

<h3>Step-by-step explanation:</h3>

<u>How can </u><u>we</u><u> factor 5x^2 + 26x - 24 = 0 using the completing the square </u><u>method?</u>

Let's solve your equation step-by-step.

$\bold{Given \: Equation: \color{brown} 5x²+26x-24=0}$

First, add 24 to both sides.

$\bold{5x²+26x-24 - \purple{ 24} = 0 + \purple{24}}$

$\bold{ \implies \: 5x²+26x = 24 }$

Since the coefficient of 5x² is 5, divide both sides by 5.

$\bold{ \frac{5 {x}^{2} + 26x }{5} = \frac{24}{5} } \\$

$\bold{ \implies \: {x}^{2} + \frac{26}{5} x = \frac{24}{5} } \\$

The coefficient of 26/5x is 26/5. So, let b=26/5.

Then we need to add (b/2)²=169/25 to both sides to complete the square.

Add 169/25 to both sides.

$\bold{ {x}^{2} + \frac{26}{5} x + \frac{ \purple{169}}{ \purple{25}}= \frac{24}{5} + \frac{ \purple{169}}{ \purple{25}} } \\$

$\bold{ \implies \:\bold{ {x}^{2} + \frac{26}{5} x + \frac{ 169}{ {25}}= \frac{289}{25} } } \\$

Factor the left side.

$\bold{(x + \frac{13}{5} ) {}^{2} = \frac{289}{25} } \\$

Take square root.

$\bold{x + \frac{13}{5} = ± \: \sqrt{ \frac{289}{25} }} \\$

Then, add (-13)/5 to both sides.

$\bold{x + \frac{13}{5} + \frac{\purple{ - 13} }{\purple{ 5}} = \frac{{ - 13} }{{ 5}} ± \: \sqrt{ \frac{289}{25}}} \\$

$\bold{ \: x = \frac{ - 13}{5} ± \sqrt{ \frac{289}{25} } } \\$

$\implies \: \underline{ \boxed{ \bold{ \frac{4}{5} } \sf \: \: or \: \: \bold{ x = - 6}}} \\$

_______________❖_______________

3 0

2 years ago

Read 2 more answers

Please help me answer and explain number 55

melamori03 [73]

Answer:

D

Step-by-step explanation:

An operation of two real numbers is defined by the rule

$a\bigotimes b=b^a+2ab$

Calculate $2\bigotimes (1\bigotimes 3).$ First evaluate the expression in brackets:

$1\bigotimes 3=1^3+2\cdot 1\cdot 3=1+6=7$

Now,

$2\bigotimes (1\bigotimes 3)=2\bigotimes 7=2^7+2\cdot 2\cdot 7=128+28=156$

6 0

3 years ago