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Rudiy27
3 years ago
14

Samuel has run for 45 minutes. If he has completed 60% of his run, how many minutes will Samuel run in all?

Mathematics
1 answer:
Irina18 [472]3 years ago
6 0

Answer:

27

Step-by-step explanation:

45÷10= 4.5

4.5×6= 27 minutes

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an angle measures 27.4 more than the measure of its complementary angle what is the measure of each angle
Arisa [49]

Hello!

<h2>31.3° and 58.7°</h2><h2></h2>

To solve, we can set up an algebraic expression.

Complementary angles add up to 90°, and in this instance, one angle is 27.4° more than the other. Therefore:

∠1 = x

∠2 = x + 27.4°

∠1 + ∠2 = 90°

x + (x + 27.4°) = 90°

Combine like terms:

2x + 27.4° = 90°

Subtract 27.4 from both sides:

2x = 62.6°

Divide both sides by 2:

x = 31.3°

Therefore, one of the angles is 31.3°. Solve for the measure of the other angle:

(31.3°) + 27.4° = 58.7°

3 0
3 years ago
Solve the following quadratic equation:<br><br>x/x+3 = 5/2x+6​
Leni [432]

Answer:

x=5/2, x=-3\\

Step-by-step explanation:

x(2x+6)=5(x+3)\\2x^2+6x=5x+15\\2x^2+6x-5x-15=0\\2x^2+x-15=0\\2x^2+6x-5x-15=0\\2x(x+3)-5(x+3)=0\\(2x-5)(x+3)=0\\2x-5=0, x+3=0\\x=5/2, x=-3\\

7 0
3 years ago
what is the slope- intercept form of the equation of the line that passes through the points (-3,2) and(1,5)
erma4kov [3.2K]

Answer:

y = \frac{3}{4} x + \frac{17}{4}

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (1, 5)

m = \frac{5-2}{1+3} = \frac{3}{4}, hence

y = \frac{3}{4} x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (1, 5 ), then

5 = \frac{3}{4} + c ⇒ c = 5 - \frac{3}{4} = \frac{17}{4}

y = \frac{3}{4} x + \frac{17}{4} ← in slope-intercept form


6 0
3 years ago
Please help me!!!!!!!!!!!!
Novay_Z [31]

Answer:

131

Step-by-step explanation:


5 0
3 years ago
Write the sentence as an inequality <br><br> The sum of twice a number n and 8 is at most 25
Marta_Voda [28]

2n  + 8  \leqslant 25
5 0
4 years ago
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