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3 years ago

Evaluate the following, expressing your answer as a decimal: 3/8 - -0.2

Mathematics

1 answer:

lozanna [386]3 years ago

8 0

Answer:

0.575

Step-by-step explanation:

I divided 3÷8 and got 0.375 to get the decimal of the fraction. Then since there is a subtraction and negative sign they cancel out to a positive where I added the 0.2 to 0.375 and got that as my answer.

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PLS HELP IM BEING TIMED 2 FOR BRAINLIEST

taurus [48]

Answer:

figure skates will be $1 cheaper.

Explanation:

given equation:

to rent figure skates : f(x) = 1.50x + 2

to rent hockey skates : h(x) = 2x +1.5

solve for rent of figure skates:

f(x) = 1.50x + 2.00

f(3) = 1.50(3) + 2.00

f(3) = 6.5

solve for rent of hockey skates:

h(x) = 2x + 1.5

h(3) = 2(3) +1.5

h(3) = 7.5

cheaper - figure skates than hockey skates:

$7.5 - $6.5

4 0

2 years ago

Write an equation that represents the line. Use exact numbers

mestny [16]

The equation that represents the line is:

$y = \frac{5}{6}x+\frac{8}{3}$

Step-by-step explanation:

We have to observe the graph to find the points on line

So the points on line are:

(x1,y1) = (4,6)

(x2,y2) = (-2,1)

First of all we have to find the slope

$m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{1-6}{-2-4}\\=\frac{-5}{-6}\\=\frac{5}{6}$

Equation of line is given by:

$y=mx+b$

Putting the value of slope

$y = \frac{5}{6}x +b$

Putting (4,6) in the equation

$6 = \frac{5}{6}(4)+b\\6 = \frac{20}{6} +b\\b = 6 - \frac[20}{6}\\b = \frac{36-20}{6}\\b = \frac{16}{6}\\b = \frac{8}{3}$

Putting the value of b

$y = \frac{5}{6}x+\frac{8}{3}$

Hence,

The equation that represents the line is:

$y = \frac{5}{6}x+\frac{8}{3}$

Keywords: Equation of line, slope

Learn more about equation of line at:

#LearnwithBrainly

7 0

3 years ago

Solve equation: –6 + 3x = –9

ICE Princess25 [194]

3x=-9+6
3x=-3
x=-3/3
x=-1

3 0

3 years ago

Read 2 more answers

1) A dog runs from one side of a park to the other. The park is 80.0 meters across. The dog takes 16.0 seconds to cross the park

irina1246 [14]

All you really have to do is divide 80.0 by 16.0

80.0 divided by 16.0= 5

so 5 is your answer!

7 0

3 years ago

Read 2 more answers

The graph of a quadratic function passes through the points (-1,0), (-2,0), and (0,2). Write the quadratic function in general f

ddd [48]

Answer:

$f(x)=x^2+3x+2$

Step-by-step explanation:

step 1

we have the points

(-1,0), (-2,0), and (0,2)

Plot the points

using a graphing tool

see the attached figure

The graph of a quadratic function must be a vertical parabola open upward

The vertex is a minimum

The quadratic function in general form is equal to

$f(x)=ax^2+bx+c$

Substitute the value of x and the value of y of each given ordered pair in the general equation and solve for a,b and c

(0,2)

For x=0, y=2

substitute

$2=a(0)^2+b(0)+c$

$c=2$

(-1,0)

For x=-1, y=0

substitute

$0=a(-1)^2+b(-1)+2$

$0=a-b+2$ ----> $a=b-2$ ----> equation A

(-2,0)

For x=-2, y=0

substitute

$0=a(-2)^2+b(-2)+2$

$0=4a-2b+2$ ----> equation B

we have the system

$a=b-2$ ----> equation A

$0=4a-2b+2$ ----> equation B

substitute equation A in equation B

$0=4(b-2)-2b+2$

solve for b

$0=4b-8-2b+2$

$2b=6$

$b=3$

Find the value of a

$a=3-2=1$

therefore

The quadratic function in general form is equal to

$f(x)=x^2+3x+2$

see the attached figure N 2 to better understand the problem

7 0

3 years ago