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3 years ago

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Trip has 15 coins worth 95 cents.Four of the coins are each worth twice as much as the rest. Construct a math argument to justif

y the conjecture that Trip has 11 nickels and 4 dimes

1 answer:

const2013 [10]3 years ago

6 0

(11*5)+(4*10)=95
11+4=15
Both are equal to the constraints of the word problem and there for justified.

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Even More FREEEEEEEE points

jek_recluse [69]

Answer:

TYSM!!!!!!!!!!!!!!!!

Step-by-step explanation:

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2 years ago

Read 2 more answers

An isosceles trapezoid ABCD with height 2 units has all its vertices on the parabola y=a(x+1)(x−5). What is the value of a, if p

horrorfan [7]

Answer:

a = -0.3575

Step-by-step explanation:

The points A and D lie on the x-axis, this means that they are the x-intercepts of the parabola, and therefore we can find their location.

The points A and B are located where

$y=a(x+1)(x-5)=0$

This gives

$x=-1$

$y=5$

Now given the coordinates of A, we are in position to find the coordinates of the point B. Point B must have y coordinate of y=2 (because the base of the trapezoid is at y=0), and the x coordinate of B, looking at the figure, must be x coordinate of A plus horizontal distance between A and B, i.e

$B_x=A_x+\frac{2}{tan(60)} =-1+\frac{2\sqrt{3} }{3}$

Thus the coordinates of B are:

$B=(-1+\frac{2\sqrt{3} }{3},2)$

Now this point B lies on the parabola, and therefore it must satisfy the equation $y=a(x+1)(x-5).$

Thus

$2=a((-1+\frac{2\sqrt{3} }{3})+1)((-1+\frac{2\sqrt{3} }{3})-5)$

Therefore

$a=\frac{2}{((-1+\frac{2\sqrt{3} }{3})+1)((-1+\frac{2\sqrt{3} }{3})-5)}$

$\boxed{a=-0.3575}$

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3 years ago

Write two equivalent ratios. 7 : 6

jekas [21]

Answer:

4:3 or 1:0

Step-by-step explanation:

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3 years ago

Please help with an explanation

natka813 [3]

The volume would be 4.19 because you would do V=(4/3)(pi)(1^3) :) thats how you get your answer :)

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3 years ago

Evaluate 3 to the power of 3 + 6 (2 + 3/6)

melamori03 [73]

If 3 + 6(2 + 3/6) is actually the power, then simplify 3 + 6(2 + 3/6) as a first step. Must follow Order of Operations rules (PEMDAS): mult and div BEFORE addition and subtraction.

Thus, 3 + 6(2 + 3/6) = 3 + 6 (15/6)
= 3 + 15 = 18.

Then: 3^18 is the answer. You could expand this if you wanted, but what would be the point of that?

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3 years ago