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2 years ago

11

The average of three test scores is 82. The scores on the first test and the third test are the same. The score on the second te

st is 6 less than the score on the first test. What is the score on the first test?

1 answer:

kondaur [170]2 years ago

5 0

Answer:

84

Step-by-step explanation:

Let x = the test

(x + x + ( x - 6))/3=82

((3x - 6)/3) • 3= 82 • 3

3x - 6 + 6 = 246 + 6

<u>3x</u> = <u>252</u>

3 3

x = 84

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Least to greatest;]

alexandr1967 [171]

Answer:

Least to greatest is: 0.0625, 6.75% and $\frac{7}{10}$ .

Step-by-step explanation:

Given:

The three quantities to compare are:

6.75%, 0.0625, and $\frac{7}{10}$

Let us convert each into percentage.

6.75% is already in percentage.

We multiply a number by 100 to convert it to percentage form.

So, $0.0625\times 100=6.25\%$

$\frac{7}{10}\times 100=\frac{700}{10}=70\%$

Now, on comparing all the three percentage, we conclude that,

70% is the greatest and 6.25% is the least.

So, order from least to greatest is:

$6.25\%$

5 0

2 years ago

Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form. S

Harman [31]

ANSWER

$y = \frac{3}{2} x + 8$

EXPLANATION

The line given to us has equation,

$2x + 3y = 9$

We need to write this equation in the slope intercept form to obtain,

$3y = - 2x + 9$

$\Rightarrow \: y = - \frac{2}{3}x + 3$

The slope of this line is

$m_1 = - \frac{2}{3}$
Let the slope of the perpendicular line be

$m_2$

Then
$m_1 \times m_2 = - 1$

$- \frac{2}{3} m_2= - 1$

This implies that,

$m_2 = - 1 \times - \frac{3}{2}$

$m_2 = \frac{3}{2}$

Let the equation of the perpendicular line be,

$y = mx + b$

We substitute the slope to get,

$y = \frac{3}{2} x + b$

Since this line passes through
$(-2,5)$
it must satisfy its equation.

This means that,

$5= \frac{3}{2} ( - 2)+ b$

$5 = - 3 + b$

$5 + 3 = b$

$b = 8$

Wherefore the slope-intercept form is

$y = \frac{3}{2} x + 8$

6 0

3 years ago

What is the line of a slope that has an equation of y=x-3?

Dovator [93]

The slope is the number in front of the x. In this equation it is 1.

4 0

3 years ago

Read 2 more answers

Which system of the inequalities is shown in the graph

jolli1 [7]

Answer:

C

Step-by-step explanation:

the equation of the parabola is : y = x² - 3x

the equation of the line is y = x + 1

and the shaded area is between those graphs

therefore y ≥ x² - 3x and y ≤ x + 1

6 0

3 years ago

Is this graph linear or exponential

barxatty [35]

Its a graph linear i believe

3 0

2 years ago