In a coin jar the ratio of dimes to pennies is 3 to 8. The number of pennies in the jar is 32. Answer the following questions based on this ratio. (Show ALL work.) *a) Why can’t the number of dimes be 10? Justify your answer by setting up & solving a proportion.
this is Solving Proportions

Answer:

m = 8

n = 9

Step-by-step explanation:

Remark

By similar triangles

(m - 4) /8 = 8 / 2m             Cross multiply

2m(m - 4) = 64                  Expand the left

2m^2 - 8m = 64                Divide through by 2

m^2 - 4m = 32                   Subtract 32 from both sides.

m^2 - 4m - 32 = 0             Factor

(m - 8)(m + 4) = 0

m + 4 has no meaning in geometry. - numbers cannot be distances.

m - 8 = 0

m = 8

===================

By the same kind of similar triangles used in problem A we get

7 / x = x / 9

x^2 = 63

Just leave this as it is. We'll solve this by the Pythagorean Theorem.

x^2 + 9^2 = (n + 3)^2

63 + 81 = (n + 3)^2

144 = (n + 3)^2                   Take the square root of both sides

12 = n + 3                           Subtract 3 from both sides.

9 = n

Answer:

40 dollars the answer is 40!!!

Answer:

730

Step-by-step explanation:

its very simple

960-230=730

hope you are happy now :)

Answer:

730 ml

Step-by-step explanation:

960-230= 730.

Answer:

A) is 220 because this is the inital value or principle.

B)The population is increasing.

C)The population will reach 280 wolves by the 5th  year

Step-by-step explanation:

C) y=220(1.05)^x  when x=5 it is 280.78

Answer:

[tex]y = -\frac{1}{4} + \frac{11}{2}[/tex]

Step-by-step explanation:

use y = mx + b where:

y = y-coordinate = 6

m = slope = -1/4

x = x-coordinate = -2

b = y-intercept = what we're solving for to complete the equation

plug the values into the equation

[tex]6 = -\frac{1}{4}(-2) + b[/tex]               multiply [tex]-\frac{1}{4}[/tex] and 2

[tex]6 = \frac{1}{2} + b[/tex]                         subtract [tex]\frac{1}{2}[/tex] from both sides

[tex]b = \frac{11}{2}[/tex]

now we plug m and b into the equation and leave x and y as variables to get the final equation:

[tex]y = -\frac{1}{4} + \frac{11}{2}[/tex]

Answer:

-21x^2+50x-24

Step-by-step explanation:

3x((5)(2)-7x+2)-2((5)(2)-7x+2)

30x-21x^2+6x-20+14x-4

50x-21x^2-24

-21x^2+50x-24

Answer: No solution because both the y and x cancel each other out so it would be 0=12

Answer:

Step-by-step explanation:

this system has no solutions,

we divide first equation by 4

x-4y=2

x-4y=4

4 not equal to 2

Given:

In a parallelogram ABCD, AB=(9x-14) inches and DC=(3x+4) inches.

To find:

The measure of DC.

Solution:

We know that opposite sides of a parallelogram are equal.

In the parallelogram ABCD, AB and DC are opposite sides. So,

[tex]AB=DC[/tex]

[tex]9x-14=3x+4[/tex]

[tex]9x-3x=14+4[/tex]

[tex]6x=18[/tex]

Divide both sides by 6.

[tex]x=\dfrac{18}{6}[/tex]

[tex]x=3[/tex]

Now,

[tex]DC=3x+4[/tex] inches

[tex]DC=3(3)+4[/tex] inches

[tex]DC=9+4[/tex] inches

[tex]DC=13[/tex] inches

The measure of DC is 13 in.

Therefore, the correct option is C.

Answer:

13in

Step-by-step explanation:

Answer:

Point Form:

( − 9 , 9 )

Equation Form:

x = − 9 , y = 9

Answer:

Step-by-step explanation:

The value of y is given in equation 2

Putting value of y = 3x in equation 1

Y = - x + 4

3x = - x + 4

Bringing like terms on one side

3x + x = 4

4x = 4

x = 4/4 = 1

Now putting value of x = 1 in equation 2

Y = 3x

Y = 3(1) = 3

Answer:

The answer is B.

Step-by-step explanation:

100; it represents the per-second fee of air time

Answer:

40

Step-by-step explanation:

If the log is not labeled then you assume it is a 10

10 x 4 = 40

40 is your answer

Answer:

f i think?

Step-by-step explanation:

Answer:

a l parallel n alt angle

b j parallel k corresponding angle

Answer:

Ana had $17 and Katie had $43.

Step-by-step explanation:

Since Ana and Katie together have $60, you can express this as follows:

x+y=60, where:

x is the amount that Ana has

y is the amount that Katie has

Also, Anna has $9 more than twice Katie's amount, which can be expressed as:

x=2y+9

The system is:

x+y=60 (1)

x=2y+9 (2)

Now, you can replace (2) in (1) and solve for y:

2y+9+y=60

3y=60-9

3y=51

y=51/3

y=17

Finally, you can replace the value of y in (2) to find x:

x=2(17)+9

y=34+9

y=43

According to this, the answer is that Ana had $17 and Katie had $43.

Answer:

The answer is 0.175

Step-by-step explanation:

Have a great day!

Answer:

Congruent.

Step-by-step explanation:

Answer: 1x+2y= 8

I think

Answer:

The ruins of the day

Painted with a scar

And the more I straighten out

The less it wants to try

The feelings start to rot

One wink at a time

Oh oh

Forgiving who you are

For what you stand to gain

Just know that if you hide

It doesn't go away

When you get out of bed

Don't end up stranded

Horrified with each stone

On the stage

My little dark age

Picking through the cards

Knowing what's nearby

The carvings on the face

Say they find it hard

And the engine's failed again

All limits of disguise

The humor's not the same

Coming from denial

Oh oh

I grieve in stereo

The stereo sounds strange

I know that if you hide

It doesn't go away

If you get out of bed

And find me standing all alone

Open-eyed

Burn the page

My little dark age

I grieve in stereo

The stereo sounds strange

You know that if it hides

It doesn't go away

If I get out of bed

You'll see me standing all alone

Horrified

On the stage

My little dark age

Giddy with delight

Seeing what's to come

The image of the dead

Dead ends in my mind

Policemen swear to God

Love's seeping from the guns

I know my friends and I

Would probably turn and run

If you get out of bed

Come find us heading for the bridge

Bring a stone

All the rage

My little dark age

I grieve in stereo

The stereo sounds strange

I know that if you hide

It doesn't go away

If you get out of bed

And find me standing all alone

Open-eyed

Burn the page

My little dark age

All alone

Open-eyed

Burn the page

My little dark age

Step-by-step explanation:

Answer:

a / b = 1/7

b = a x 7

a / c = 4 /1

a = c x 4

b = a x 7

= c x 4 x 7

= c x 28

b is 28 times bigger than c

b is 28 times bigger than c. The conclusion is obtained by rearranging the equations.

A ratio is an ordered pair of integers a and b, expressed as a/b, where b cannot be zero. A proportion is an equation that sets two ratios equal to each other.

The given ratio;

a: b = 1:7

a:c= 4:1

Rearrange the given ratio we obtained;

b = a × 7

a = c × 4

Put the value of a in b get;

b= c × 4 × 7

Hence, b is 28 times bigger than c.

Learn more about the ratio refer:

https://brainly.com/question/14335762

#SPJ2

Answer:

24 degree's

Step-by-step explanation:

Answer:

64 cm ^2

Step-by-step explanation:

you do 2x4x8 to get 64 cm^2

Answer:

64

Step-by-step explanation:

Answer:

235

Step-by-step explanation:

94% of 250 is 235. To get 235, you can simply multiply 250 by .94

Answer:

c)12.6 inches

the ans in cm is 31.9 cm

Answer:

x = 6

Step-by-step explanation:

Answer:

339651420

Step-by-step explanation:

Answer: 5 * 67,930,284 = 339,651,420

Step-by-step explanation: Use long multiplication to evaluate.

I hope this helps you out!