Write an equation for the description.<br> Ten times the sum of half a number x and 7 is 10.

Which of the following is equal to 10-5?

salantis [7]

Answer:

Step-by-step explanation:

$10^{-5}=\frac{1}{10^{5}}=\frac{1}{100000}=0.00001$

4 0

4 years ago

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Consuelo’s living room is in the shape of a rectangle and has an area of 360 square feet. The width of the living room is 5/8 it

andreev551 [17]

Answer:

24 feet

Step-by-step explanation:

Length: x

Width: 5x/8

Area = x(5x/8) = 360

x² = 576

x = 24

6 0

3 years ago

Which system or equation is represented in the graph?

melamori03 [73]

Answer:

$(A)\displaystyle \begin{array} {ccc} \displaystyle y = - 2 \\ x - 2y = 6\\ \end{array}$

Step-by-step explanation:

<h3>Equation of the blue line:</h3>

since the line is horizontal and passes <u>-</u><u>2</u> the equation of the blue line should be

$\displaystyle \large y = - 2$

<h3>Equation of the red line:</h3>

remember The form of equation of a line

$\displaystyle \boxed{ \displaystyle y = mx + b}$

where m is slope of the line and b is the y-intercept we can clearly see that the red line crosses y-axis at (0,-3) therefore b=-3

to figure out m we can consider the following formula:

$\displaystyle m = \frac{ \Delta y}{ \Delta x}$

from the graph we acquire ∆y=1 and ∆x=2

thus substitute:

$\displaystyle m = \frac{ 1}{ 2}$

so we have figured out m and b

therefore our equation of blue line is

$\displaystyle y = \frac{1}{2} x - 3$

our given options are in standard form so

move -3 to left hand side and change its sign:

$\displaystyle y + 3= \frac{1}{2} x$

cross multiplication:

$\displaystyle 2y + 6= x$

move 6 to right hand side and x to left hand side and change its sign

$\displaystyle - x + 2y = - 6$

multiply both sides by -1:

$\displaystyle x - 2y = 6$

hence, our system of linear equation is

$\displaystyle \begin{cases} \displaystyle y = - 2 \\ x - 2y = 6\\ \end{cases}$

3 0

3 years ago

If the fraction 6/10 equals 0.6,then 2/10 equals

Mila [183]

Answer:

0.2

Step-by-step explanation:

2/10=1/5=0.2

hope this helps

5 0

4 years ago

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The Candy Factory sells candy by the pound, charging $1.25 per pound for quantities up to and including 25 pounds. Above 25 p

pantera1 [17]

Answer:

a) 31.25

b) 30

Step-by-step explanation:

The price function is given as:

$\mathbf{P(x) =\left \{ {1.25x \ for \ x \ \leq \ 25} \atop {1.20x \ for \ x \ > \ 25}} \right. }$

Find:

$\mathbf{ \lim_{x \to 25^-} P_{(x)}}$

$\mathbf{ \lim_{x \to 25^+} P_{(x)}}$

$\mathbf{P(x) =\left \{ {1.25x \ for \ x \ \leq \ 25} \atop {1.20x \ for \ x \ > \ 25}} \right. }$

$\mathbf{ \lim_{x \to 25^-} P_{(x)} = 1.25 * 25} \\ \\ =31.25$

$\mathbf{ \lim_{x \to 25^+} P_{(x)} = 1.20 * 25} \\ \\ =30$

8 0

4 years ago

Write an equation for the description. Ten times the sum of half a number x and 7 is 10.