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lesantik [10]
4 years ago
5

3g+5=20 how do you solve that equation

Mathematics
1 answer:
german4 years ago
3 0
3g+5=20
-5. -5

3g=15
Divide both numbers by three
g=5
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A cleaning company charges a fee of &65 in addition to $10.50 per hour of cleaning, let x represent the number of hours clea
photoshop1234 [79]
Fee of $65
$10.50 per hour

'x' represents hours

Therefore we have:

y = 10.50x + 65

Because 10.50 is the cost per hour, and x represents hours, so we put these together. 65 is a one-time fee, so we just add it on.
3 0
3 years ago
An electronics store has two options for liquidating televisions that have not sold.
Oksanka [162]
Answser: first option <span>350(0.95)^x + 30x - 350

Explanation:

You can figure out the </span><span>function that shows the difference in price between option 1 and option 2 if you make a table simulating the behavior for a few months:

month                 price as per option 1          price as per option 2

start                     350                                     350

1                          350 - 5% (350) =                350 - 30
                            = 350 (0,95)

2                          350 (0,95)×(0,95) =
                            350 (0,95)²                         350 - 30(2)

3                           350 (0,95)³                        350 - 30(3)

So now you can figure out the price with each option after x months:

                             350 (0.95)ˣ                        350 - 30x

And the difference is 350 (0.95)ˣ - [350 - 30x]

Which, expanding the square brackets, is 350 (0.95)ˣ + 30x - 350 ↔ the first option.
</span>
7 0
3 years ago
Read 2 more answers
If two consecutive angles of a parallelogram are congruent, what is the measure of each angle?
Debora [2.8K]

Answer:

Measure of each angle is 90 degree.

Step-by-step explanation:

Given : If two consecutive angles of a parallelogram are congruent.

To find the measure of each angle:

There are 6 important properties of parallelograms:

  • Opposite sides are congruent.
  • Opposite angles are congruent
  • Consecutive angles are supplementary.
  • If one of the angle is right angle, then all angles are right.
  • Diagonals of a parallelogram bisect each other
  • Also, each diagonal of a parallelogram separates it into two congruent.

let A and D be two consecutive angle.

then, by the given condition

\angle A \cong \angle D           ......[1]

From the  property of parallelogram:

Consecutive angles are supplementary

Then;

\angle A + \angle D = 180^{\circ}

From equation [1];

\angle A + \angle A = 180^{\circ}

Combine like terms :

2\angle A = 180^{\circ}

Divide both sides by 2 we get;

\frac{2 \angle A}{2} = \frac{180^{\circ}}{2}

Simplify:

\angle A = 90^{\circ}

From the given property of parallelogram : if one of the angle is right, then all the angles in the parallelogram are right angle.

∴ \angle A = \angle B = \angle C = \angle D = 90^{\circ}

Therefore, the measure of each angle is 90^{\circ}

4 0
3 years ago
Let P be a point not on the line L that passes through the points Q and R. The distance d from the point P to the line L is d =
Goshia [24]

Answer:

Distance from point (0,1,1) to the given line is zero.

Step-by-step explanation:

Given parametric equations of line,

x=2t, y=5-2t, z=1+t

To find distance from (0,1,1), we have to eliminate t from above equations so that,

y=5-2t=5-x\implies x+y=5=4+1=4+z-t=4+z-\frac{1}{2}x

\implies 3x+2y-2z-8=0\hfill (1)

whose direction ratioes are (l,m,n)=(3,2,-2) and distance fro point (a,b,c)=(0,1,1) is given by,

\frac{al+bm+cn}{\sqrt{l62+m^2+n^2}}=\frac{(3\times 0)+(2\times 1)+(-2)(1)}{\sqrt{3^2+2^2+(-2)^2}}=\frac{0+2-2}{\sqrt{17}}=0

Distance between point (0,1,1) and (1) is zero. That is point 90,1,1) is lies on the line (1).

8 0
3 years ago
Okay, sorry I posted the question wrong, heres a screenshot of the real one.
KATRIN_1 [288]

Answer:

7.6

14.8

23.2

Step-by-step explanation:

a = 1.6, a = 4, a = 6.8

3a + 2.8 when a = 1.6

= 3(1.6) + 2.8

= 4.8 + 2.8

= 7.6

3a + 2.8 when a = 4

3(4) + 2.8

= 12 + 2.8

= 14.8

3a + 2.8 when a = 6.8

= 3(6.8) + 2.8

= 20.4 + 2.8

= 23.2

5 0
3 years ago
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