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melomori [17]
2 years ago
11

In 2015, an autonomous vehicle drove from the Golden Gate Bridge to New York City at an average speed of 15.7 miles per hour. Th

e journey took 9 days. About how far did the vehicle travel?
Mathematics
1 answer:
ivolga24 [154]2 years ago
4 0

The speed is the distance covered by an object at a particular time. The distance that is covered by the vehicle is 3,391 miles.

<h3>What is speed?</h3>

The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.

Speed = Distance / Time

Given that the journey took 9 days. Therefore, the time in hours will be equal to,

Time = 24 hours/day × Number of days

        = 24× 9

        = 216 hours

Also, given that the speed of the vehicle is 15.7 miles per hour, the number of hours for which it travels is 216 hours.

Distance = Speed × Time

              = 15.7 miles/hour × 216 hours

              = 3,391.2 miles

Hence, the distance that is covered by the vehicle is 3,391 miles.

Learn more about Speed here:

brainly.com/question/15100898

#SPJ2

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The projected number of employed writers and authors in 2016 is 153,000. 12. 4% of those will have some college experience but n
GuDViN [60]

Number of Writers and authors with bachelor's degree more than those with only some college experience and no degree is Option b: 109701

<h3>How to form mathematical expression from the given description?</h3>

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

<h3>How to find the percentage from the total value?</h3>

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

\dfrac{a}{100} \times b

For the given case, it is specified that:

  • Total number of employed writers and authors: 153,000
  • Some college experience but no degree : 12.4%
  • Bachelor's degree or higher : 84.1%

Let we have:

writers and authors with bachelor’s degree = N + writers and authors with some college experience and no degree

(so the number of writers and authors with bachelor’s degree is N more than writers and authors with some college experience but no degree)

Number of writers and authors with bachelor's degree = 12.4% of 153000

which is \dfrac{153000}{100} \times 12.4 = 18972

Number of writers and authors with some college experience but no degree = 84.1% of 153,000 which is \dfrac{153000}{100} \times 84.1 = 128673

Thus,

128,673 = N + 18972

or

N = 128,673 - 18972= 109,701

Thus,

Number of Writers and authors with bachelor's degree more than those with only some college experience and no degree is Option b: 109701

Learn more about percentage here:

brainly.com/question/11549320

3 0
3 years ago
Elevator 1 moved up 12 feet from the ground level. Its position is labeled as +12. Elevator 2 moved down 7 feet from the ground
pav-90 [236]

Answer:

-7

Step-by-step explanation:

8 0
4 years ago
Which of the following is a rational number?<br> 148, 49, 50, 51
Katarina [22]

Answer:

50 is the answer because you can divide 2 numbers to get this number.

4 0
3 years ago
Read 2 more answers
If f(x)=x+8 and g(x)=-4x-3 find (f+g)(x)
nydimaria [60]

Answer:

for this case we have the following functions:

f (x) = x + 8

g (x) = -4x - 3

Subtracting the functions we have:

(f - g) (x) = f (x) - g (x)

(f - g) (x) = (x + 8) - (-4x - 3)

Rewriting:

(f - g) (x) = x + 8 + 4x + 3

(f - g) (x) = 5x + 11

Answer:

D. (f - g) (x) = 5x + 11

7 0
3 years ago
Two sides of a triangle are perpendicular. If the two sides are 8cm and 6cm, calculate correct to the next degree, the smallest
Sati [7]

\boxed{Given:}

Length of the perpendicular ( opposite ) = 6 cm.

Length of the base ( adjacent ) = 8 cm.

\boxed{To\:find:}

The smallest angle of the triangle.

\boxed{Solution:}

\sf\purple{C.\:37°} ✅

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}

In a right-angled triangle, if two sides are given, the measure of the unknown angle can be known.

Since the value of opposite and adjacent sides are given, we use the tangent formula.

tan θ = \frac{opposite}{adjacent}

✒ tan θ = \frac{6 \: cm}{8 \: cm}

✒ θ = {tan}^{ - 1} (0.75)

✒ θ = 36.9°

✒ θ = 37°

Now let us find the other unknown angle 'x'.

We know that,

Sum of angles of a triangle = 180°

✒ 37° + x + 90° = 180° (90° since it is a right-angled triangle)

✒ x + 127° = 180°

✒ x = 180° - 127°

✒ x = 53°

Therefore, the three angles of the triangle are 37°, 53° and 90°.

Hence, the smallest angle is 37°.

\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}

7 0
3 years ago
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