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stellarik [79]
3 years ago
5

A second number is six more than half on the first number. The sum of the two numbers is 42. What are the 2 numbers?

Mathematics
1 answer:
andrew11 [14]3 years ago
6 0
One number is f and the other should .5f+6
They need to have the same variable

SO then the equation is f= .5f+6. I think now you can solve it. Let me know i you need more help
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Mike, Chris, and John decided to go running. Mike can run 4 miles per hour, Chris
dimaraw [331]

Answer:

21.5 miles total

Step-by-step explanation:

First, identify what you know:

1) Mike can run 4 mph, and runs a total of 1 hour, and 45 minutes (105 min)

2) Chris can run 6 mph, and runs a total of 70 minutes.

3) John can run 5 mph, and runs a total of 1 hour, and 30 minutes (90 min)

We need to calculate how many miles each person ran, and then add the miles ran, to find the total!

Mike: 1 hour and 45 minutes it equal to 1.75! So, in one hour, Mike ran 4 miles. He ran 3/4 of 4 mph, in 3/4 of an hour! Thus, Mike ran 7 miles. Simply multiply 1.75 by 4, to get 7 mph.

Chris: Chris ran 6 mph for 70 minutes. 6 mph, means that Chris can run one mile per every ten minutes! In 70 minutes, he'll have run 7 miles.

John: If john ran 90 minutes, that means he ran 1.5 hours! Simply multiply 1.5 by 5 mph, to get 7.5 miles!

Now, all we need to do, is add the totals!

7 + 7 + 7.5 = 21.5

In total, Mike, Chris, and John ran 21.5 miles!

Hope this helps! :)

4 0
3 years ago
Read 2 more answers
2 sin^2 + sin x - 3 = 0
denpristay [2]

Answer:

x = 2 π n_1 + π/2 for n_1 element Z

or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z

Step-by-step explanation:

Solve for x:

-3 + sin(x) + 2 sin^2(x) = 0

The left hand side factors into a product with two terms:

(sin(x) - 1) (2 sin(x) + 3) = 0

Split into two equations:

sin(x) - 1 = 0 or 2 sin(x) + 3 = 0

Add 1 to both sides:

sin(x) = 1 or 2 sin(x) + 3 = 0

Take the inverse sine of both sides:

x = 2 π n_1 + π/2 for n_1 element Z

or 2 sin(x) + 3 = 0

Subtract 3 from both sides:

x = 2 π n_1 + π/2 for n_1 element Z

or 2 sin(x) = -3

Divide both sides by 2:

x = 2 π n_1 + π/2 for n_1 element Z

or sin(x) = -3/2

Take the inverse sine of both sides:

Answer:  x = 2 π n_1 + π/2 for n_1 element Z

or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z

3 0
3 years ago
Differentiate the following functions y=4x^3-2x^2+5x^-3.7-6
Katarina [22]
I don't think you copied it correctly, but I'll assume that you did.

y = 4x³ - 2x² + 5('x' to the -3.7 power) - 6

"y-prime" (the first derivative) =  12x² - 4x - 18.5('x' to the -4.7 power)
5 0
3 years ago
Read 2 more answers
Find the area of the figure. Use 3.14 for A.
Masteriza [31]

Answer:

38.13 m^2

Step-by-step explanation:

the area of a triangle =b*h/2

b=base

h=height

area triangle=(4m*3m)/2=(12m^2)/2=6m^2

the area of a rectangle =b*h

b=base

h=height

area of a rectangle=6m*3m=18m^2

area of a semi circle=(pi*r^2)/2

r=radius

area of a semi circle==(3.14*(3m)^2)/2=14.13m^2

area of the figure=6m^2+18m^2+14.13m^2=38.13m^2

the answer is 38.13m^2

8 0
4 years ago
Factor completely. x 3 + 6x 2 - 4x - 24
Eddi Din [679]
I really suck at explaining with words so here a photo, I hope you understand
A

7 0
4 years ago
Read 2 more answers
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