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PolarNik [594]
3 years ago
10

Running at a constant​ rate, Miguel ran 12 miles in a time of 120 minutes. How many minutes does it take Miguel to run 6 ​miles?

Mathematics
2 answers:
adell [148]3 years ago
7 0

Answer:

  20

Step-by-step explanation:

120/6

Natasha_Volkova [10]3 years ago
6 0

Answer:

60 minutes

Step-by-step explanation:

First, lets write the problem into an equation

12 miles/120 minutes = 6 miles/x minutes

Then, we solve

12/120 = 6/x

12x = 720

x = 60

Therefore, your answer is 60 minutes

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In what time will #250 gain #120 at 2%​
muminat

Answer: 24 years

Step-by-step explanation:

Based on the information given, we've been given,

Principal = #250

Interest = #120

Interest rate = 2%

Time = Unknown

Interest = PRT/100

120 = (250 × 2 × Time)

Cross multiply

120 × 100 = (250 × 2 × T)

12000 = 500T

Time = 12000/500

Time = 24

It will take 24 years.

6 0
3 years ago
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Answer:

d. -19, -3.7, -3/4, 6.05

Step-by-step explanation:

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7 0
2 years ago
Read 2 more answers
What is the factorization of 729^15+1000?
igomit [66]

Answer:

The factorization of 729x^{15} +1000 is (9x^{5} +10)(81x^{10} -90x^{5} +100)

Step-by-step explanation:

This is a case of factorization by <em>sum and difference of cubes</em>, this type of factorization applies only in binomials of the form (a^{3} +b^{3} ) or (a^{3} -b^{3}). It is easy to recognize because the coefficients of the terms are <u><em>perfect cube numbers</em></u> (which means numbers that have exact cubic root, such as 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.) and the exponents of the letters a and b are multiples of three (such as 3, 6, 9, 12, 15, 18, etc.).

Let's solve the factorization of 729x^{15} +1000 by using the <em>sum and difference of cubes </em>factorization.

1.) We calculate the cubic root of each term in the equation 729x^{15} +1000, and the exponent of the letter x is divided by 3.

\sqrt[3]{729x^{15}} =9x^{5}

1000=10^{3} then \sqrt[3]{10^{3}} =10

So, we got that

729x^{15} +1000=(9x^{5})^{3} + (10)^{3} which has the form of (a^{3} +b^{3} ) which means is a <em>sum of cubes.</em>

<em>Sum of cubes</em>

(a^{3} +b^{3} )=(a+b)(a^{2} -ab+b^{2})

with a= 9x^{5} y b=10

2.) Solving the sum of cubes.

(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)((9x^{5})^{2}-(9x^{5})(10)+10^{2} )

(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)(81x^{10}-90x^{5}+100)

.

8 0
3 years ago
luis left home with $5.50 in his wallet. He spent 3.25 on drinks and $2.00 on a magazine. Later, his friend repaid him $3.50 tha
STatiana [176]

$3.75

Step-by-step explanation:

5.50-3.25-2.00+3.50

7 0
3 years ago
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3*10^-1/2*10^2 standard form
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