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jekas [21]
3 years ago
7

What is the value of x in the equation 1/5 x - 2/3 y = 30 when y=15

Mathematics
1 answer:
zubka84 [21]3 years ago
4 0
To determine the value of X in the given equation substitute the value of y into the equation and solve for x.

1/5x - 2/3y = 30
1/5x - 2/3(15) = 30
1/5x -10 = 30
1/5x - 10 + 10 = 30 + 10
1/5x = 40
1 = 5x • 40
1 = 200x
X = 1/200.
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M(d)=-0.123x^2+148.83x-21.07<br> When will it reach maximum height of 45000 feet
Setler [38]

Answer: time to reach maximum height = 605

Step-by-step explanation:

The expression that relates height with time is

M(d)=-0.123x^2+148.83x-21.07

Where time = x

d = height

The expression is a quadratic equation. If height of the object is plotted against time, the resulting graph is a parabola whose vertex is equal to the maximum height attained by the object. The time, x corresponding to the vertex is the time for it to reach maximum height.

To find x,

x = -b/2a

Where a= 0.123

b = 148.83

x = - 148.83 / -2 × -0.123

x = -148.83 / -0.246

= 605

Substituting x = 605 in the equation,

M(d)=-0.123x^2+148.83x-21.07

d = -0.123 × 605^2 + 148.83×605

= - 45021.075+ 90042.15

= 45020.4

Approximately 45000 feet

6 0
3 years ago
Write an equivalent equation that does not contain fractions 2/3 x + 9 equals 3/4
AlekseyPX

Answer:

8x + 108 = 9

Step-by-step explanation:

Given

\frac{2}{3} x + 9 = \frac{3}{4}

Multiply through by the lowest common multiple of 3 and 4, that is 12 to clear the fractions.

8x + 108 = 9 ← equivalent equation with no fractions

6 0
3 years ago
Which fraction can be expressed as a non-terminating decimal? ​
3241004551 [841]

Answer:

\frac{7}{9} = 0.777777 ..

\frac{1}{3} = 0.33333..

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Non -terminating decimals are the one that does have an end term. it has infinite number of terms

Example :-

\frac{7}{9} = 0.777777 ..

\frac{1}{3} = 0.33333..

5 0
3 years ago
You work a part-time job at $7.85/hr for 10 hours per week. Your deductions are FICA (7.65%), federal tax withholding (9.8%), an
Dmitrij [34]
Here, My initial salary = 7.85 

FICA deduction amount = 7.85 * 7.65% = 7.85 * 0.0765 = 0.60
Federal Tax amount = 7.85 * 9.8% = 7.85 * 0.098 = 0.77
State tax amount = 7.85 * 5.5% = 7.85 * 0.055 = 0.43

So, Total deducted amount = 0.60 + 0.77 + 0.43 = 1.80
Net hourly wage = 7.85 - 1.80 = 6.05

In short, Your Answer would be $6.05

Hope this helps!
4 0
3 years ago
Which equation below would be perpendicular to the line y = 2?
nadya68 [22]
Answer:
A) y=1/5x
Step-by-step explanation:
Coz, the way you identify a perpendicular line is by looking for its negative reciprocal. The neagtive reciprocal of 5= 1/5
Now, to check the ans we can multiply the negative reciprocal by "m"
(m in y=mx+c or y=mx+b)
in this case the "m" is stated as 5, so all we need to do is 1/5*5 if the ans is 1 then your ans is right....and over here it is
So thats how you identify & check perpendicular lines!
3 0
3 years ago
Read 2 more answers
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