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Illusion [34]
3 years ago
11

What is -16+4 (2g-18)=0

Mathematics
2 answers:
UNO [17]3 years ago
8 0

First, we multiply the parentheses by 4: 4x2= 8g, 4x18= 72

-16+8g-72=0

Now, calculate the difference: -16-72 = 16+72= -88

-88+8g=0

Move: -88+8g+88=0+8. And then eliminate the opposites (and the zero) 8g=88.

Divide between eight, so, is equal to g=11

(I'm bad explaining lol)

IgorLugansk [536]3 years ago
5 0

-16 + 4(2g - 18) = 0

Distribute 4 inside the parentheses.

-16 + (8g - 72) = 0

Combine like terms (-16 - 72).

-88 + 8g = 0

Add 88 to both sides.

8g = 88

Divide both sides by 8.

\boxed {g=11}

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Erin created a scale drawing for a garden that will be 10 ft by 5 ft. She plans to include a section in the garden for herbs, wh
Hitman42 [59]

Answer:

The dimensions of the herb garden on the scale drawing are 2.4 by 6 inches

Step 1 (finding the scale factor):

12/10 (inches/feet) or 1.2 (inches/feet)

(1.2 inches<em> </em>in the <em>drawing</em> represent 1 foot in real life)

Step 2 (finding the dimensions of the herb garden on the scale drawing):

Real life dimensions are 2ft by 5ft so we multiply by the <em>scale factor</em>:

2ft = 2 x 1.2 = 2.4 inches

5ft = 5 x 1.2 = 6 inches

So the dimensions of the herb garden on the scale drawing are 2.4 by 6 inches.

4 0
2 years ago
A walkway forms one diagonal of a square playground. The walkway is 18 m long.
olga55 [171]

18m x 4 = 72m

Walkway = 72 meters.

6 0
3 years ago
Solve the equation<br> 56 ÷ (-8)= ?
Hunter-Best [27]

Answer:

-7

Step-by-step explanation:

Because for dividing one positive and one negative number, the rule is that the answer is going to be negative. So, what you can do is just do 56÷8 which equals 7 then add the negative sign to make it -7.

3 0
3 years ago
The following values of (x) and f(y) are given. Find the best value of (dy/dx) at
velikii [3]

Answer:

dy/dx at x=6 is 0.334

Step-by-step explanation:

The center difference method requires that the values of the function are given in equal intervals which is the case, and allows one to find the value for x = 6 using those of the function for x = 5.5 and for x = 6.5 as follows:

\frac{dy}{dx} =\frac{3.7436-3.4096}{6.5-5.5} =0.334

4 0
2 years ago
The distance from Parrot Point Airport to the Ivy Cliffs is 178 miles at and angle of 7.1 degrees northeast. There is a wind blo
Hitman42 [59]

Answer:

The speed is 74.0 miles per hour and the angle is 65.1° north-east

Step-by-step explanation:

We resolve the distance moved by the wind and plane into horizontal and vertical components. The direction moved horizontally by the plane is 178sin7.1 = 22 miles.

Since the wind is moving south east, it is at 45 south of east or a bearing of 135.

Since the wind speed is 30 mph and it takes 2 hours to complete the trip, the horizontal distance moved by the wind is vtcos135 = 30 × 2cos45 = 42.43 miles

Also, the vertical displacement moved by the wind is vtsin135 = -30 × 2 sin45 = -42.43 miles

The displacement moved vertically by the plane is 178cos7.1 = 176.64 miles

The total horizontal displacement of the plane is 22 miles + 42.43 miles = 62.43 miles

The total vertical displacement of the plane is 176.64 miles - 42.43 miles =   134.21 miles

The resultant displacement is thus d = √(62.43² + 134.21²) = 148.02 miles

The direction of this displacement is thus

Ф = tan⁻¹(total vertical displacement/total horizontal displacement)

= tan⁻¹(134.21/62.43)

= tan⁻¹(2.1498)

= 65.05°

= 65.1° to the nearest tenth degree.

The speed is thus v = distance/ time = 148.02 miles/ 2 hours = 74.01 mph ≅ 74 mph. Since the direction of the displacement is the direction of the velocity, the velocity is thus 74 miles per hour at 65.1° north-east.

So the speed is 74.0 miles per hour and the angle is 65.1° north-east

8 0
3 years ago
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