MATHEMATICS HIGH SCHOOL

An object travels 8 miles in 20 min at a constant speed. What is the objects speed in miles per hour? A. 32
B. 28
C. 24
D. 20

Answers

Answer 1
Answer: 20x3 = 60 mins/ one hour
8x3 =24
24mph

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Mercury is about 57,000,000 from the sun,whereas neptune is about 4.5 x 10 to the 9th power km from the sun. What is the difference between mercury and neptune's distance from the sun

Answers

Answer:

4,443,000,000 or 4.443 * 10^9 km.

Step-by-step explanation:

Neptune's distance from the sun = 4.5 * 10^9

=  4,500,000,000 km.

The required difference is

4,500,000,000 - 57,000,000

= 4,443,000,000  or 4.443 * 10^9.

Final answer:

The difference in distance from the sun between Mercury and Neptune is approximately 4,443,000,000 kilometers.

Explanation:

To find the difference in distance between Mercury and Neptune from the sun, we first need to understand that these distances are given in kilometers (km). Mercury is roughly 57,000,000 km from the sun, and Neptune is approximately 4.5 x 10 to the 9th power km from the sun. The 9th power, or exponent, denotes how many times a number (in this case, 10) is used in a multiplication. Hence, Neptune's distance from the sun is 4.5 x 10^9 km, or 4,500,000,000 km. To get the difference, we subtract Mercury's distance from Neptune's i.e., 4,500,000,000 km - 57,000,000 km = 4,443,000,000 km. So, the difference in distance from the sun between Mercury and Neptune is approximately 4,443,000,000 km.

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The equatorial diameter of a model of earth is 25.6 cm. What is the total surface area of the model​

Answers

Answer:

2059.7\,\,cm^2

Step-by-step explanation:

Diameter of a model of earth (D) = 25.6 cm

Radius of a model of earth (r) = (D)/(2)=(25.6)/(2)=12.8\,\,cm

Earth has the shape of a sphere.

Total surface area of a sphere = 4\pi r^2

Put \pi=(22)/(7)\,,\,r=12.8\,\,cm

So,

Total surface area of the model =4((22)/(7))(12.8)^2=2059.7\,\,cm^2

Which measurement is equivalent to 80 cm?

8,000 mm
0.8 m
0.08 km
8 m

Answers

The answer is the second one, 0.8m





Hope it is helpful :)
0.8m is the answer because 0.1m is 10cm

What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?

Answers

For this case we have the following inequality:

-4 (3 - 5x) \geq-6x + 9

To solve the inequality, we have as a first step to apply the distributive property on the left side of the inequality.

We have then:

Rewriting we have:

Then, the following steps will only be mentioned:


1) Group variable terms on the left side of the inequality


2) Group constant terms on the right side of the inequality


3) Add the variable terms


4) Add the constant terms


5) Clear the value of x.


Answer:

a correct first step in solving the inequality is:

Distributive property:

-12+ 20x \geq -6x + 9

Horatio has taken out a $12,450 unsubsidized Stafford loan to pay for his four-year undergraduate education. The loan has an interest rate of 7.3%, compounded monthly, and a duration of ten years. Horatio will allow interest capitalization. Making monthly payments, how much interest will Horatio have paid in total by the time the loan is paid in full? Round all dollar values to the nearest cent.

Answers

I'll just give you an answer based on my understanding.
I'll use the formula for compounding interest.

A = P(1+r/n)^nt

A = future value of the loan including interest
P = principal of the loan
r = interest rate
n = number of times the interest is compounded per year (monthly=12)
t = number of years the money is loaned for

Given: 
P = 12,450
r = 7.3%, compounded monthly
t = 10 years

A = 12,450 (1+0.073/12)^12*10
A = 12,450 (1.006)¹²⁰
A = 12,450 (2.05)
A = 25,522.50

25,522.50 - 12,450 = 13,072.50 total interest paid.

The correct answer will be option A.

Solve the following simultaneous equations : 5m - 3n = 19; m - 6 = -7​

Answers

Answer:

m = -1

n= -8

Step-by-step explanation:

5m -3n = 19

m - 6 = -7

solve for m:

m = -7+6

m = -1

plug in m

5(-1) - 3n = 19

-5 - 3n = 19

-3n = 24

n = -8
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