Esther cycles 70 miles over 4 days.

Mathematics

1 answer:

Travka [436]2 years ago

7 0

Answer:

Step-by-step explanation:

70 - 14 - 32 = 24 (Which is the amount of miles she cycled on both Day 3 and 4)

x + x*2 = 24

8 + 8*2 = 24

8 + 16 = 24

Therefore, she cycles 24 miles on Day 4.

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7x + 2y = 17<br>2x - 2y = 1<br>=

DerKrebs [107]

Answer:

$(2,\frac{3}{2}})$

Step-by-step explanation:

For finding the system of equations you can use one of two methods. There's the elimination method and also the substitution method. For this I think the best way we could go at solving this is by using the elimination method. Since we can eliminate the 2y. We can then solve for x and then we'll go from there.

$\left \{ +{{7x+2y=17} \atop {2x-2y=1}} \right. \\\\9x=18\\x=2$

Now that we know what x is we can substitute it for one of the equations and then we will be able to solve for y.

$7x+2y=17\\7(2)+2y=17\\14+2y=17\\2y=3\\y=\frac{3}{2}$

So now we have the x and the y and once we place them together we can get the solution of those two equations, and the solution is $(2,\frac{3}{2}})$ .

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3 years ago

If emily eats 18 cookies, which represents 30% of the bag, how many cookies are in the bag

antoniya [11.8K]

Answer:60

Step-by-step explanation:

18 x 100= 1800. 1800/30= 60. 60 x %30= 18

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3 years ago

An open box is made from a 20 cm x 3 cm piece of tin by cutting a square from each corner and folding up the edges. The area of

Marta_Voda [28]

Answer:

Length of the final sides: 6 cm and 16 cm

Step-by-step explanation:

The lengths of the sides of the original box are

$L=20 cm\\W=10 cm$

Later, a piece of tin is cut out from each corner; the piece cut out has the shape of the square: we can call the length of its generic side x. Therefore, the dimensions of the box will now be:

$L'=L-2x\\W'=W-2x$