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3 years ago

What is the solution to the equation? 4 + 3s – 9s = 22 A. s = –3 B. s = –1.5 C. s = 1.5 D. S= 4 2/3=

2 answers:

8 0

Hello!

First, let's write the problem.
$4+3s-9s=22$
Add like terms,
$4-6s=22$
Subtract 4 from both sides.
$4-6s-4=22-4$
$-6s=18$
Divide both sides by -6.
$\frac{-6s}{-6}=\frac{18}{-6}$

Our final answer would be,
$s=-3$

You can feel free to let me know if you have any questions regarding this!
Thanks!

- TetraFish

cestrela7 [59]3 years ago

5 0

4 + 3s - 9s = 22
4 - 6s = 22
-6s = 22 - 4
-6s = 18
s = -18/6
s = - 3 <===

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What is the percent increase of 16 to 20

mojhsa [17]

Hey You!

16 - 20 / 16 * 100 = 25

The percentage increase from 16 to 20 is 25%. =)

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3 years ago

What is the slope of (-2,7); (-5,3)

Vinvika [58]

Answer:

1 1/3

Step-by-step explanation:

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2 years ago

What are the numerical measures of each angle in the diagram? 1 and 3 measure degrees. 2 and 4 measure degrees. (3x - 1)º (2x +

Tanya [424]

Answer:

Step-by-step explanation:

In the diagram shown, the measure of angle 1 is oppositely directed to angle 2 and oppositely directed angles are equal.

Hence <1 = <3

Given < 1 = 3x-1 and <3 = 2x+9

Hence 3x-1 = 2x+9

collect like terms

3x-2x = 9+1

x = 10°

Since <1 = 3x-1

on substituting x = 10

<1 = 3(10)-1

<1 = 30-1

<1 = 29°

<1+<2 = 180 (angle on a straight line)

29+<2 = 180

<2 = 180-29

<2 = 151°

Similarly, on substituting x = 10 into <3

<3 = 2x+9

<3 = 2(10)+9

<3 = 20+9

<3 = 29°

<3+<4 = 180 (angle on a straight line)

29+<4 = 180

<4 = 180-29

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3 0

3 years ago

Read 2 more answers

A boat is heading towards a lighthouse, whose beacon-light is 136 feet above the

alexandr1967 [171]

The distance between the points A to B is 899.9 feet. After rounding off the nearest integer we get 900 feet as the final answer.

Given we know that CD is perpendicular to AD.

The distance between CD is 139 feet.

As from points A the boat's crew measure the angle of elevation to the beacon as 6°

therefore, m∠A = 6°

Another time the angle of elevation is measured from point B which is 19°.

therefore, m∠DBC = 19°

tan 19° = CD/BD

BD = CD/tan19°

BD = 136/tan 19°

now for tan 6° = CD/AD (tangent is opposite over adjacent)

AD = CD/tan 6°

AD = 136/tan 6°

AB = AD ₋ BD

AB = 136/tan 6° ₋ 136/tan 19°

AB = 1295.2 ₋ 395.3

AB = 900 feet

hence the distance from point A to B is 900 feet.

Learn more about Heights and distances here:

brainly.com/question/2004882

#SPJ9

5 0

1 year ago

At noon, the minute and the hour hands of a clock overlap. In how long will they again overlap?

kati45 [8]

Answer:

Okay. At noon, the hour and minute hand overlap. First, let’s calculate the speed of the hands.

The minute hand rotates once around the clock every hour. It goes 360 degrees in 60 minutes, so it rotates 360/60 or 6 degrees per minute. The hour hand goes once around the clock every 12 hours. Because there are 60 minutes in an hour, it goes 360 degrees 12*60 or 720 minutes. This means it travels at a speed of 360/720 or 0.5 degrees per minute.

Once the clock starts, the minute hand goes ahead and rotates ahead of the hour hand. At 1:00, the minute hand is at 12, and the hour hand is ahead at 1. This is where we will start our calculations.

Now, we have a variable, m, which is the minutes that have passed since the clock started. So, our minute hand speed is 6m, and our hour hand speed is 0.5m. However, because the hour hand is at one, it is at 30 degrees. (360/12 * 1.) This means our equation is 6m = 0.5m+30.

Now, we calculate.

6m = 0.5m+30

5.5m = 30

m = 30/5.5

m = 5.45

So at 5.45 minutes, the minute hand is at the hour hand. However, because one hour has passed since we started, we have to add on one hour.

So, our final total is 1 hour 5 minutes and 27 seconds.

Step-by-step explanation:

4 0

3 years ago