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horrorfan [7]
3 years ago
7

Frances solves the inequality 5g≥ 35. She says that 7 is a solution to the inequality. Is Frances correct? Explain

Mathematics
1 answer:
AlekseyPX3 years ago
7 0

Answer:

<u>Step 1:  Divide both sides by 5</u>

<u />5g / 5 \geq  35 / 5

g \geq  7

So... the line underneath the > means that 7 is included.  Therefore, Frances is correct.

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Which coordinate plane shows the graph of f(x)=2x+3?
andreev551 [17]

Answer:

NOT the graph A and the graph B.

Step-by-step explanation:

y = mx + b

m - slope

b - y-integer

If m > 0 then the function is increasing.

if m < 0 then the function is decreasing.

We have y = -2x + 3

m = -2 < 0 the function is decreasing

b = 3 y-intercept = 3

The x-intercept: y = 0. Substitute

0 = -2x + 3     add 2x to both sides

2x = 3    divide both sides by 2

x = 1.5

Therefore your answer is C or D (look at the picture)

3 0
4 years ago
Find the opposites of 1/3 and -7/12
iragen [17]
The opposites of 1/3 and -7/12 is -1/3 and 7/12
3 0
4 years ago
Challenge A gold mine has two elevators, one for equipment and another for the miners. The
OLEGan [10]

Step-by-step explanation:

The equipment elevator is at a depth of 176 feet (-176 feet), while the miners elevator is at a depth of 210 feet (-210 feet) below the surface

ii. The miners elevator is deeper than that of the equipment.

The speed of an object is the rate at which the object moves.

i.e speed = \frac{distance}{time}

time

distance

Thus,

Speed of the equipment elevator = 4 feet per second

Speed of the miners elevator = 15 feet per second.

Time of descent of the equipment elevator = 30 + 14

= 44 seconds

So that, the distance of the elevator at this time is;

speed = \frac{distance}{time}

time

distance

⇒ distance = speed x time

= 4 x 44

= 176

distance = - 176 feet

The distance of the miners elevator after 14 seconds is:

speed = \frac{distance}{time}

time

distance

⇒ distance = speed x time

= 15 x 14

= 210

distance = - 210 feet

Thus after another 14 seconds, the equipment elevator is at a depth of 176 feet (-176 feet), while the miners elevator is at a depth of 210 feet (-210 feet) below the surface.

Therefore, the miners elevator is deeper than that of the equipment.

6 0
3 years ago
P, Q &amp; R form a right-angled triangle.
kvasek [131]

Answer:

∠RPQ = 27

Step-by-step explanation:

In ΔSRQ,

∠R = 90

∠SQR = 36°

∠R + ∠SQR + ∠RSQ = 180    {Angle sum property of triangle}

90 + 36 + ∠RSQ = 180

126 + ∠RSQ = 180

         ∠RSQ = 180 - 126

        ∠RSQ = 54°

∠PSQ +∠RSQ = 180   {Linear pair}

∠PSQ + 54 = 180

 ∠PSQ = 180 - 54

∠PSQ = 126

In ΔPSQ,

SQ = PS ,

So, ∠SQP = ∠SPQ    {Angles opposite to equal sides are equal}

∠SQP = ∠SPQ   =x

∠PSQ + x +x = 180  {Angle sum property of triangle}

126 + 2x = 180

2x = 180 - 126

2x = 54

x = 54/2

x = 27

∠RPQ = 27°

5 0
3 years ago
Please help I have quite a bit of points
mixer [17]

Answer:

The star equals 96

Step-by-step explanation:

The star will be equal to 5x-14 because they are vertically opposite.

The two exterior angles are supplementary.  Set up the equation

5x - 14 + 3x + 18 = 180        Combine the terms on the left.

8x + 4 = 180                        Subtract 4 from both sides

8x = 180 - 4                         Combine

8x = 176                               Divide by 8

x = 176 / 8

x = 22

===================

5x - 14

5*22 - 14

96

5 0
3 years ago
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