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Nataliya [291]
3 years ago
7

How do you convert this mixed fraction 8 21/40 into a decimal

Mathematics
1 answer:
klemol [59]3 years ago
7 0
8\frac{21}{40}=8\frac{21\cdot5}{40\cdot5}=8\frac{105}{200}=8\frac{105\cdot5}{200\cdot5}=8\frac{525}{1000}=\boxed{8.525}
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Find the equation of the line that is parallel to x=6y-5 and that passes through (5,-3). express answer in standard form
Anestetic [448]

Answer:

Final answer is x-6y=23

Step-by-step explanation:

We need to find the equation of the line that is parallel to x=6y-5 and that passes through (5,-3).

So first we need to find the slope of given line.

rewirite x=6y-5 in y=mx+b form

x+5=6y

\frac{1}{6}x+\frac{5}{6}=y

Compare given equation with y=mx+b

we get: m=1/6

We know that parallel equations has equal slope.

Then slope of required line m=1/6

Now plug the given point (5,-3) and slope m=1/6 into point slope formula:

y-y_1=m\left(x-x_1\right)

y-(-3)=\frac{1}{6}\left(x-5\right)

y+3=\frac{1}{6}x-\frac{5}{6}

y=\frac{1}{6}x-\frac{5}{6}-3

y=\frac{1}{6}x-\frac{23}{6}

Now we need to rewrite that equation in standard form. Ax+By=C.

6y=x-23

x-23=6y

x-6y=23

Hence final answer is x-6y=23

6 0
3 years ago
Question 8: Find the equation of the straight line that:
Scorpion4ik [409]

Answer:

y=4x+6

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope (also called the gradient) and b is the y-intercept (the value of y when x is 0)

<u>1) Plug the gradient into the equation (b)</u>

y=mx+b

We're given that the gradient of the line is 4. Plug this into y=mx+b as m:

y=4x+b

<u>2) Determine the y-intercept (b)</u>

y=4x+b

Plug in the given point (1,10) as (x,y) and solve for b

10=4(1)+b\\10=4+b

Subtract 4 from both sides to isolate b

10-4=4+b-4\\6=b

Therefore, the y-intercept of the line is 6. Plug this back into y=4x+b as b:

y=4x+6

I hope this helps!

8 0
2 years ago
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What is the slope of -2x + 4y = 12 ?
Daniel [21]

Answer:

Slope:  1/4

Step-by-step explanation:

6 0
3 years ago
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Does the point (5, 2) satisfy the inequality y &lt; 9x + 4?
Allushta [10]

Answer:

yes

Step-by-step explanation:

2< 9(5) + 4

2 < 45 + 4

2 < 49

6 0
3 years ago
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Use the diagram to help you solve the problem. Mark is a receptionist for Exclusive Auto Sales. His base salary is $21,000. He h
olga55 [171]
The answer is 22,260

6 0
3 years ago
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