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3 years ago

12

Petra jogs 3 miles in 30 minutes. At this rate, how long would it take her to jog 13 miles?

1 answer:

Oliga [24]3 years ago

6 0

Answer:

390 minutes I do believe.

Step-by-step explanation:

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How to expand and simplify 5(3p+2)-2(5p-3)

Luda [366]

5(3p+2) - 2(5p-3) Distribute the 5 and the 2
(5*3p) + (5*10) + (-2*5p) + (-2*-3)
15p + 50 - 10p + 6 Combine like terms
5p + 56

5 0

3 years ago

Read 2 more answers

I NEED HELP FAST what is y+1=5/6(x-2) in standard form?

Irina18 [472]

Answer:

$\large\boxed{5x-6y=16}$

Step-by-step explanation:

The standard form of an equation of a line:

$Ax+By=C$

We have the equation in the point-slope form. Convert:

$y+1=\dfrac{5}{6}(x-2)\qquad\text{multiply both sides by 6}\\\\6y+6=6\!\!\!\!\diagup^1\cdot\dfrac{5}{6\!\!\!\!\diagup_1}(x-2)\\\\6y+6=5(x-2)\qquad\text{use the distributive property}\\\\6y+6=(5)(x)+(5)(-2)\\\\6y+6=5x-10\qquad\text{subtract 6 from both sides}\\\\6y+6-6=5x-10-6\\\\6y=5x-16\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\-5x+6y=5x-5x-16\\\\-5x+6y=-16\qquad\text{change the signs}\\\\\boxed{5x-6y=16}$

6 0

3 years ago

You have a 4 in. X 6in. family picture that you want to resize. You can choose from a 16 in. X 20 in. or an 18 in. X 24 in. Whic

yarga [219]

Answer:

16 in × 20 in

Step-by-step explanation:

Finding the % of the picture that can fit in 16×20 frame

Area of picture= length by width

=4*6=24 in²

Area of frame=Length by width

=16*20=320 in²

% of the picture in the frame will be

(24/320) * 100% =7.5%

2. Finding the % of the picture that can fit in 18 × 24 frame

Area of picture=24 in²

Area of frame =Length by width

=18*24=432 in²

% of the picture in the frame will be;

(24/432)*100%=5.6%

The frame 16 by 20 in will keep 7.5% of the original picture

The frame 18 by 24 in will keep 5.6% of the original picture

Hence you should use the frame of 16 by 20 in because it will keep more of the original picture.

6 0

3 years ago

What is the slope and y-intercept of the liner function y = -2/3x+3?

IrinaVladis [17]

Answer: (-2/3 , 3) is the answer

6 0

3 years ago

Your school wants to take out an ad in the paper congratulating the basketball team on a successful season, as shown to the rig

iogann1982 [59]

Answer:

$x_1 =-14.43 in, x_2 = 2.426in$

Since the measurement can't be negative the correct answer for this case would be $x =2.426 in$

Step-by-step explanation:

Let's assume that the figure attached illustrate the situation.

For this case the we know that the original area given by:

$A_i = 7 in *5 in = 35in^2$

And we know that the initial area is a half of the entire area in red $A_i = \frac{A_f}{2}$ , so then:

$A_f = 2 A_ i =2*35 = 70$

And we know that the area for a rectangular pieces is the length multiplied by the width so we have this:

$70 = (x+7) (x+5)$

We multiply both terms using algebra and the distributive property and we got:

$70 =x^2 +12 x +5$

And we can rewrite the expression like this:

$x^2 +12 x -35 = 0$

And we can solve this using the quadratic formula given by:

$x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}$

Where $a = 1, b =12 and c=-35$ if we replace we got:

$x = \frac{-12 \pm \sqrt{(12)^2 -4(1)(-35)}}{2*1}$

And the two possible solutions are then:

$x_1 =-14.43 in, x_2 = 2.426in$

Since the measurement can't be negative the correct answer for this case would be $x =2.426 in$

3 0

3 years ago