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tester [92]
2 years ago
12

Steve leaves the corner of First and Maple on his bicycle and travels an average speed of 9 mi/hr. Two hours later,his brother l

eaves from First and Maple, following him on a moped traveling 27 mi/hr. How long will it take him to catch up with steve?
Mathematics
1 answer:
just olya [345]2 years ago
3 0

Answer:

Two hours later his brother leaves from first and maple and comes after him on a moped travelling 27 mph, His uphill speed was 8 miles per hour slower than his downhill speed.

Step-by-step explanation:

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Solve the inequality 2-x<7​
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Answer:

x > -5

Step-by-step explanation:

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Brad earns $12.75/hr and works 40 hours a week. What is his gross annual income?
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$12.75/hr x 40hrs = $510
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7 is 28% of what number
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(3,4) and (12,19) find the equation of the line that passes through it
harina [27]

Answer:

The equation of the line will be:

y=\frac{5}{3}x-1

Step-by-step explanation:

Given the points

  • (3, 4)
  • (12, 9)

Finding the slope between (3, 4) and (12, 9)

\left(x_1,\:y_1\right)=\left(3,\:4\right),\:\left(x_2,\:y_2\right)=\left(12,\:19\right)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

m=\frac{19-4}{12-3}

m=\frac{5}{3}

The equation of the line can be obtained using the point-slope form of the equation of the line

y-y_1=m\left(x-x_1\right)

substituting the values m = 5/9 and the point (3, 4)

y-4=\frac{5}{3}\left(x-3\right)

y-4+4=\frac{5}{3}\left(x-3\right)+4

y=\frac{5}{3}x-1

Therefore, the equation of the line will be:

y=\frac{5}{3}x-1

5 0
3 years ago
Please help!!!<br><br> i need help with this
goblinko [34]

Answer:

Step-by-step explanation:

Combine like terms. Like terms have same variable with same power

a) (2xy + 4x) + (15xy - 5x)  = <u>2xy + 15xy</u> +<u> 4x - 5x</u>

                                         = 17xy - x

b) (6a + 4b² - 3) + (3b² - 5) = 6a + <u>4b² + 3b²</u>  <u>- 3 - 5 </u>

                                           = 6a + 7b² - 8

c) (4x³ - 3x² +4x) + (8x² - 5x ) = 4x³ <u>- 3x² + 8x²</u>  <u>+ 4x - 5x</u>

                                               = 4x³  + 5x² - x

d) (7b - 6a  + 9y) - (12b + 5a - 2y) =

In subtraction, add the additive inverse of (12b + 5a - 2y)

additive inverse = - 12b  - 5a  + 2y

(7b - 6a  + 9y) - (12b + 5a - 2y) = 7b - 6a + 9y  -12b -5a + 2y

                                                   = 7b - 12b  -6a - 5a  + 9y + 2y

                                                   = -5b - 11a + 11y

e) (2x² + 7x - 2 + 9y) - (13x + 4x² + 5 - 6y)

Additive inverse of  13x + 4x² + 5 - 6y = -13x + 4x² - 5 + 6y

(2x² + 7x - 2 + 9y) - (13x + 4x² + 5 - 6y)= 2x² + 7x - 2 + 9y -13x - 4x² -5 +6y

                    = 2x² - 4x² + 7x -13x -2 - 5 + 9y + 6y

                    = -2x²  - 6x  - 7 + 15y

5 0
2 years ago
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