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4 years ago

2.5x - 1.75 = 5 (7 - 0 5x)

Mathematics

1 answer:

Softa [21]4 years ago

8 0

Answer:

For 2.5 x - 1.75 = 5 (7 - 0 5 x) , x = 1.47/1.1

Step-by-step explanation:

Here, the given equation is : 2.5 x - 1.75 = 5 (7 - 0 5x)

By <u>DISTRIBUTIVE PROPERTY:</u>

A(B - C) = AB - AC

Solving for the value of x , we get:

2.5 x - 1.75 = 5 (7 - 0 5 x)

⇒ 2.5 x - 1.75 = 5 (7) - 5 (05 x)

⇒ 2. 5 x - 1. 75 = 35 - 25 x

or, 2. 5 x + 25 x = 35 + 1. 75

or, 27 . 5 x = 36.75

⇒ x = 36.75/ 27.5 = 7.35/ 5.5 = 1.47/1.1

or, x = 1.47/1.1

Hence, for 2.5 x - 1.75 = 5 (7 - 0 5 x) , x = 1.47/1.1

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Valleywood Golf course offers classes Monday through Saturday. The Saturday classes last 75 minutes. If they offered 705-minutes

Alisiya [41]

Answer:

Step-by-step explanation:

To make the problem easier to solve, we will set it up as the equation of the length of time of each class times the number of classes equals the total amount of minutes. However, since we don't know the number of classes, we'll symbolize our two unknowns with two variables.

75x + 45y = 705

(75x + 45y)/15 = 705/15

5x + 3y = 47

y = (47-5x)/3

It looks like we can't simplify the equation any more, so now it is a matter of trial and error. The minimum number of Saturday classes means the maximum number of weekday classes. We first will test for the maximum by assuming there are no Saturday classes, then will work our way up until x is an integer.

If x = 0

(47-5(0))/3 = 47/3 = 15.6666

If x = 1

(47-5(1))/3 = 42/3 = 14

This works. Therefore, the maximum number of weekday classes is 14, or choice b.

3 0

4 years ago

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth. A rocket is launched from atop a

umka2103 [35]

When it hits the ground, then h=0
find the xintercept or in this case the tintercepts
c=76
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h=-16t^2+135t+76
use quadratic formula

ax^2+bx+c=0
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a=-16
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x= $\frac{-135+/- \sqrt{135^2-4(-16)(76)} }{2(-16)}$
x= $\frac{-135+/- \sqrt{18225+4864} }{-32}$
x= $\frac{-135+/- \sqrt{23089} }{-32}$
aprox
x=-0.5297 or 8.967
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3 years ago

The sum of 6 consecutive odd numbers is 204. What is the fourth number in this sequence?

Korolek [52]

204 /6 = 34

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6 0

3 years ago

Read 2 more answers

67 hundreds into standard form

Svetach [21]

There's a difference between "hundredths" and "hundreds". I'm going to assume you mean 6,700.

Answer:

6.7*10^3

Step-by-step explanation:

Write out the number.

6700

Bring the decimal to the left. However many times you move over to the left until you get between 6 & 7 should be your exponent for 10.

6.7*10^3

7 0

3 years ago

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Solnce55 [7]

Answer:

Step-by-step explanation:

You plug in the given values and compute s:

s = ut + 1/2 at^2

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= 5 + -1*1/4

= 4 3/4.

7 0

3 years ago