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3 years ago

Solve 4x - 5 > 15can someone please explain how to do these problems

Mathematics

1 answer:

krok68 [10]3 years ago

6 0

Answer:

x>5

Step-by-step explanation:

4x - 5 > 15

Add 5 to each side

4x - 5 +5> 15+5

4x >20

Divide by 4

4x/4 >20/4

x >5

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Problem

Stels [109]

Answer:

The maximum speed of Hal's airplane in still air is:

$v= 250\ miles/h$

The speed of the wind

$c = 50\ miles/h$

Step-by-step explanation:

Remember that the velocity v equals the distance d between time t.

$v=\frac{d}{t}$ and $t*v=d$

The distance that Hal travels when traveling with the wind is:

$(2\ hours)(v + c) = 600$ miles

Where v is the speed of Hal and c is the wind speed.

The distance when traveling against the wind is:

$(3\ hours)(v-c) = 600$ miles

Now we solve the first equation for v

$(2)(v + c) = 600$

$2v + 2c = 600$

$2v= 600-2c$

$v= 300-c$

Now we substitute the value of v in the second equation and solve for c

$3((300-c)-c) = 600$

$3(300-2c) = 600$

$900-6c = 600$

$-6c = 600-900$

$-6c = -300$

$6c = 300$

$c = 50\ miles/h$

Then:

$v= 300-(50)$

$v= 250\ miles/h$

The maximum speed of Hal's airplane in still air is:

$v= 250\ miles/h$

The speed of the wind

$c = 50\ miles/h$

7 0

3 years ago

In the graph below, figure I undergoes a sequence of rotations, reflections, translations, and dilations to transform to figure

Aleksandr-060686 [28]

The answer for the first one is <em><u>Congruent</u></em> and for the second for the second is <em><u>No</u></em>

8 0

3 years ago

Which expression represents the volume of the composite figure? (2)(4.4)(5) (2)(4.4)(3.9) (2)(4.4)(5) – (2)(4.4)(3.9) one-half(2

larisa86 [58]

The expression that represents the volume of the composite figure is (8*6*4)+ 1/3 * (8*6*6).

<h3>What will be the volume of the composite figure?</h3>

The volume of the composite figure will be the sum of the volume of the cube and the volume of the pyramid.

Volume of the cube = length*breadth*height

So, the volume of the cube = 8*6*4

The volume of the pyramid = 1/3 *(area of the base) * (height of the pyramid)

Area of the base of the pyramid = 8*6

Height of the pyramid = total height - height of the cube

Height of the pyramid = 10-4 =6

So, the volume of the pyramid = 1/3 * 8*6*6

So, total volume = (8*6*4)+ 1/3 * (8*6*6)

Hence, the expression that represents the volume of the composite figure is (8*6*4)+ 1/3 * (8*6*6).

To get more about prism visit:

brainly.com/question/23963432

6 0

2 years ago

Read 2 more answers

Please help me out please

ad-work [718]

this is the answer, I guess.

8 0

3 years ago

A, B, C and D are four towns.

djverab [1.8K]

Three of the four towns are on the vertices of the triangle ΔCBD, through

which the bearing can calculated.

<h3>Response:</h3>

The bearing of D from B is approximately <u>209.05°</u>

<h3>Method by which the bearing is found;</h3>

From the given information, we have;

AC = AB = 25 km

∠BAC = 90° (definition of angle between north and east)

ΔABC = An isosceles right triangle (definition)

∠ACD = ∠ABC = 45° (base angles of an isosceles right triangle)

$tan(\angle ABD) = \dfrac{45}{25}$

$\angle ABD = arctan \left(\dfrac{45}{25} \right) \approx 60.945^{\circ}$

The bearing of <em>D</em> from <em>B</em> is the angle measured from the north of <em>B</em> to the

direction of <em>D.</em>

<em />

Therefore;

The bearing of D from B ≈ 90° + (180° - 60.945°) = <u>209.05°</u>

Learn more about bearings in mathematics here:

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5 0

2 years ago