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aleksandrvk [35]
2 years ago
7

Kayla walks 3 2/5 miles each day? wich of the following statements correctly describe how far she walks? a kayla walks 14 2/5 mi

les in 4 days b kayla walks 23 4/5 miles in 7 days c kayla walks 34 miles in 10 days d kayla walks 102 miles in 31 days
Mathematics
1 answer:
Inessa05 [86]2 years ago
7 0
We inspect each of the choices and determine which among them is the best answer by multiplying the given time frames to the speed given.
(a) (3 2/5 miles/day) x (4 days) = 13.6 miles (wrong)
(b) (3 2/5 miles/day) x (7 days) = 23 4/5 miles (correct)
(c) (3 2/5 miles/day) x (10 days) = 34 miles (correct)
(D) (3 2/5 miles/day) x (31 days) = 105.4 miles (wrong)

Thus, the answers are B and C. 
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The earth has a mass of approximately 6\cdot 10^{24}6⋅10 24 6, dot, 10, start superscript, 24, end superscript kilograms (\text{
Alex_Xolod [135]

Answer:

0.02

Step-by-step explanation:

The volume of the earth's oceans is approximately 1.34\cdot 10^{9}1.34⋅10

9

1, point, 34, dot, 10, start superscript, 9, end superscript cubic kilometers (\text{km}^3)(km

3

)left parenthesis, start text, k, m, end text, cubed, right parenthesis, and ocean water has a mass of about 1.03 \cdot 10^{12}\,\dfrac{\text{kg}}{\text{km}^3}1.03⋅10

12

 

km

3

kg

​

1, point, 03, dot, 10, start superscript, 12, end superscript, start fraction, start text, k, g, end text, divided by, start text, k, m, end text, cubed, end fraction .

To simplify, we will use the product of powers property of exponents that says that x^a\cdot x^b = x^{a+b}x

a

⋅x

b

=x

a+b

x, start superscript, a, end superscript, dot, x, start superscript, b, end superscript, equals, x, start superscript, a, plus, b, end superscript.

\qquad 1.34\cdot 10^{9}\,\cancel{\text{km}^3} \cdot 1.03 \cdot 10^{12}\,\dfrac{\text{kg}}{\cancel{\text{km}^3}} = 1.3802 \cdot 10^{21}\,\text{kg}1.34⋅10

9

 

km

3

⋅1.03⋅10

12

 

km

3

kg

​

=1.3802⋅10

21

kg1, point, 34, dot, 10, start superscript, 9, end superscript, start cancel, start text, k, m, end text, cubed, end cancel, dot, 1, point, 03, dot, 10, start superscript, 12, end superscript, start fraction, start text, k, g, end text, divided by, start cancel, start text, k, m, end text, cubed, end cancel, end fraction, equals, 1, point, 3802, dot, 10, start superscript, 21, end superscript, start text, k, g, end text

Hint #2

Next we want to know what portion of the earth's mass this represents. We have:

\qquad \begin{aligned} \dfrac{\text{mass of the oceans}}{\text{total mass of the earth}} &= \dfrac{1.3802 \cdot 10^{21}\,\text{kg}}{6\cdot 10^{24}\,\text{kg}} \\\\ &= \dfrac{1.3802}{6\cdot 10^{3}} \\\\ &= \dfrac{1.3802}{6000} \\\\ &= 0.0002300\overline{3} \end{aligned}

total mass of the earth

mass of the oceans

​

​

 

=

6⋅10

24

kg

1.3802⋅10

21

kg

​

=

6⋅10

3

1.3802

​

=

6000

1.3802

​

=0.0002300

3

​

To convert this to a percent, we multiply by 100100100, so the oceans represent 0.02300\overline{3}\%0.02300

3

%0, point, 02300, start overline, 3, end overline, percent of the earth's total mass, according to these figures.

Hint #3

To the nearest hundredth of a percent, 0.020.020, point, 02 percent of the earth's mass is from oceans.

6 0
1 year ago
A scale drawing of a house addition shows a scale factor of 1 in. = 3.3 ft. Josh decides to make the house addition smaller, and
emmasim [6.3K]
It is decreased by a factor of 3. You can determine this by realizing that one inch original equals 3.3 feet, but the equals 1.1 feet, and 3.3/1.1 = 3.
7 0
1 year ago
Read 2 more answers
Write the perimeter of the floor plan shown as an algebraic expression in x.
Nimfa-mama [501]
The perimeter is the sum of the enclosing side.

From the figure, the perimeter is
P = 11 + (x-2) + (11-3) + [(x-2) - (x-11)] + (x-11)
   =  11 + x - 2 + 8 + 9 + x - 11
   = 2x + 15

Answer:  2x + 15

5 0
2 years ago
Grace works as a salesperson at an electronics store and sells phones and phone accessories, and makes a fixed commission for ea
spayn [35]

Answer:

Commissions:

Accessoriy: $2

Phone: $9

Step-by-step explanation:

18p + 21a = 204

6p + 14a = 82

21a = 42

a = 2

p = [82 - 14(2)]/6 = 9

4 0
2 years ago
Read 2 more answers
Meteorologists look for weather trends across US states in the same geographical region. Kentucky and Illinois share a border. T
olya-2409 [2.1K]

The average annual temperatures (°F) from 1991 to 2000 for Kentucky were 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7.

We have to evaluate the measures of center.

Firstly, we will calculate the mean.

Mean = (Sum of all the observations)/ (Total number of observations)

Mean =  \frac{57.5+55.1+52.2+55.6+55.6+54.4+54.5+58.3+57.3+55.7}{10}

= \frac{556.2}{10}

= 55.62

Now, we will calculate mode.

Mode is a statistical term that refers to the most frequently occurring number found in a set of numbers.

Consider the data 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7.

Mode = 55.6

Now, we will calculate the median.

Firstly, we will arrange in the ascending order.

52.2, 54.4, 54.4,55.1 ,55.6, 55.6, 55.7, 57.3, 57.5, 58.3

Since there are 10 terms.

Median = \frac{n}{2}th observation

Median = 5th observation.

Since, the 5th observation is 55.6.

Therefore, the median is 55.6

5 0
2 years ago
Read 2 more answers
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