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3 years ago

14

William cycles at a speed of 15 miles per hour. He cycles 12 miles from home to school. If he increases his cycling speed by 5 m

iles per hour, how mucg faster will he reach his school?

1 answer:

Elena-2011 [213]3 years ago

7 0

15/1
forty-eight minutes now
20/1
thirty-six minutes then

48-36 equals= 12 minutes faster is the answer

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The first term of a geometric sequence is 32, and the 5th term of the sequence is 818 .

sammy [17]

Answer:

$32,24,18,\frac{27}{2} ,\frac{81}{8}$

Step-by-step explanation:

Let x, y , and z be the numbers.

Then the geometric sequence is $32,x,y,z,\frac{81}{8}$

Recall that term of a geometric sequence are generally in the form:

$a,ar,ar^2,ar^3,ar^4$

This implies that:

a=32 and $ar^4=\frac{81}{8}$

Substitute a=32 and solve for r.

$32r^3=\frac{81}{8}$

$r^4=\frac{81}{256}$

Take the fourth root to get:

$r=\sqrt[4]{\frac{81}{256} }$

$r=\frac{3}{4}$

Therefore $x=32*\frac{3}{4} =24$

$y=24*\frac{3}{4} =18$

$z=18*\frac{3}{4} =\frac{27}{2}$

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3 years ago

Which term does not describe a square?

forsale [732]

Answer: a

Step-by-step explanation:

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3 years ago

An expression is shown below. Which expression is equivalent to the expression shown?

Vera_Pavlovna [14]

Note: In option A, it should be "+" instead of "(".

Given:

The expression is

$-2x(x+y-3)+3(-x+4y)+y(3x+5y-3)$

To find:

The equivalent expression.

Solution:

We have,

$-2x(x+y-3)+3(-x+4y)+y(3x+5y-3)$

Using distributive property, we get

$=-2x(x)-2x(y)-2x(-3)+3(-x)+3(4y)+y(3x)+y(5y)+y(-3)$

$=-2x^2-2xy+6x-3x+12y+3xy+5y^2-3y$

On combining like terms, we get

$=-2x^2+5y^2+(-2xy+3xy)+(6x-3x)+(12y-3y)$

$=-2x^2+5y^2+xy+3x+9y$

The expression $-2x^2+5y^2+xy+3x+9y$ is equivalent to the given expression.

Therefore, the correct option is A.

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3 years ago

Kisachek [45]

Answer:

1/2

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A coin has 2 sides, and it is flipped 3 times. 3 x 2 = 6. Each flip only has a head, so 3 flips would have 3 heads.

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