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3 years ago

14

Dany bought a total of 20 game cards some

1 answer:

elixir [45]3 years ago

8 0

12 cards : $0.25
8 cards : $0.15

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A coyote is traveling 80 feet per second. How fast is the coyote running in miles per hour?

spin [16.1K]

54 miles per hour ......

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3 years ago

in parallelogram ABCD, AC is diagonal, the measure <ABC is 40°, and the measure of <ACD IS 57°. what is the measure of &lt

Nutka1998 [239]

Answer: $\angle CAD = 83^\circ$ Option D

Step-by-step explanation:

In this question we use properties of parallelogram and angle sum property of a triangle.

In parallelogram ABCD

$\angle ABC=40^\circ$

As, we know that opposite angles of parallelogram are equal

Therefore,

$\angle ABC =\angle ADC =40^\circ$

Now, in triangle ADC

We know that sum of all the angles of a triangle is $=180^\circ$

$\angle ACD +\angle ADC +\angle DAC =180^\circ$

$57^\circ +40^\circ +\angle DAC =180^\circ$

$97^\circ + \angle DAC = 180^\circ$

Subtracting 97 from both sides we get

$\angle DAC = 180^\circ - 97^\circ$

$\angle DAC = 83^\circ$

Measure of $\angle CAD = 83^\circ$

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3 years ago

Find four numbers that form a geometric progression such that the third term is greater than the first by 12 and the fourth is g

olchik [2.2K]

If $x$ is the first number in the progression, and $r$ is the common ratio between consecutive terms, then the first four terms in the progression are

$\{x,xr,xr^2,xr^3\}$

We want to have

$\begin{cases}xr^2-x=12\\xr^3-xr=36\end{cases}$

In the second equation, we have

$xr^3-xr=xr(r^2-1)=36$

and in the first, we have

$xr^2-x=x(r^2-1)=12$

Substituting this into the second equation, we find

$xr(r^2-1)=12r=36\implies r=3$

So now we have

$\begin{cases}9x-x=12\\27x-3x=36\end{cases}\implies x=\dfrac32$

Then the four numbers are

$\left\{\dfrac32,\dfrac92,\dfrac{27}2,\dfrac{81}2\right\}$

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3 years ago

At a store, 2 gallons of milk cost $6. Which is the value of the ratio of dollars to gallons of milk?

Nataliya [291]

1 gallon = $3 so the ratio would be 1:3 where 1 would represent the gallon and 3 the price

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3 years ago

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If light travels 6.71 x 108 miles in one hour, how many miles will it travel in 90 minutes?

IRINA_888 [86]

6.71*108= 724.68 then divide that by 60 to see how far it goes per minute. Which is 12.078 then multiply by 90 so 1,087.02

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3 years ago