A jar contains 18.50 in dimes and quarters. there are 110 coins in the jar. find the number of quarters and dimes in the jar.

*Note that I'm assuming the prism is a triangular prism

Volume = 60cm³

Height = 6cm

Width = 2cm

The equation for the volume of a triangular prism is:

V = [tex]\frac{b * h * l}{2}[/tex]

Let's substitute in the values we already know:

60 = [tex]\frac{2 * 6 * l}{2}[/tex]

And now we need to make l the subject by multiplying both sides by 2:

120 = 2 x 6 x L

Simplify:

120 = 12L

Flip to make easier to read:

12L = 120

Divide both sides by 12 to get the value of L (length):

L = 10

And let's show proof that L = 10 (remember that V (volume) should be equal to 60):

V = [tex]\frac{2 * 6 * 10}{2}[/tex]

V = [tex]\frac{120}{2}[/tex]

V = 60

Therefore we can determine the the length is indeed 10cm.

I hope this helped! :)

Step-by-step explanation:

Hi there, hope this helps :)

Answer:

I think it's A i hope got it right if i didn't i'm sorry T_T

Step-by-step explanation:

Answer:

Step-by-step explanation:

P + 4.5 = - p + 5

Bringing like terms on one side

P + p = 5 - 4.5

2p = 0.5

p = 0.5/2 = 0.25

In my opinion the answer is one solution

Answer:

1 solution.

Step-by-step explanation:

1/2(2p + 9) = -p + 5

lets solve for p

1/2 * 2p + 1/2 * 9 = -p + 5

1p + p + 9/2 = - p + p + 5

2p + 9/2 = 5

Multiply by 2 on both sides to get rid of the fraction 9/2.

4p + 9 = 10

4p = 1

p = 1/4

Therefore, there is only 1 solution.

You can now check by plugging in 1/4 for p in the original equation.

are we suppose to answer both

Answer:

C.)

Step-by-step explanation:

C.)

Answer:

11.4 and/or 11 2/5

Step-by-step explanation:

You can turn 22 4/5 into a decimal which is 22.8 and divide that by 2 and it gets you 11.4. You can also turn 22 4/5 into an improper fraction which is 114/5. Multiply that by 1/2 which is 11 2/5.

Answer:

Step-by-step explanation:

From ΔABD:

                   BD² + 7² = x²   ⇒  BD² = x² - 49

Form ΔBCD:

                   BD² + 3² = BC²   ⇒  BD² = BC² - 9

so:

       BC² - 9 = x² - 49   ⇒  BC² = x² - 40

From ΔABC:

                 x² + BC² = (7+3)²

                  x² + x² - 40 = 10²

                   2x² = 140

                    x² = 70

                    x = √70                    

Answer:

x = [tex]\sqrt{70}[/tex]

Step-by-step explanation:

Δ ABC and Δ ADB are similar, thus ratios of corresponding sides are equal, that is

[tex]\frac{AB}{AD}[/tex] = [tex]\frac{AC}{AB}[/tex] ( cross- multiply )

AB² = AC × AD = 10 × 7 = 70 ( take the square root of both sides )

AB = x = [tex]\sqrt{70}[/tex]

Answer:

-15

Step-by-step explanation:

Answer: w = -15

Step-by-step explanation:

-9 = 6 + w

Solve to isolate W.

-9 = 6 + w

-6    -6  

------------------

-15 = w

Based on the info provided, that should be right!

Step-by-step explanation:

I choose C for my answer hopes it helps

Answer:

-5 ≤ n ≤ 3

Step-by-step explanation:

Firstly we solve the equation two at a time;

5n + 17 ≥ n - 3

5n - n ≥ -3 - 17

4n ≥ -20

n ≥ -5

-5 ≤ n

n - 3 ≥ -15 + 5n

n - 5n ≥ -15 + 3

-4n ≥ -12

-n ≥ -3

n ≤ 3

Therefore,

5n+17 ≥ n–3 ≥ –15+5n, becomes

-5 ≤ n ≤ 3

Answer:

6 laps

Step-by-step explanation:

46 Divided by 7 is 6

Answer: 6 Laps

Step-by-step explanation:

Pretty simple to solve. Just divide 42 minutes and the first lap of 7 minutes to get 6 laps.

Answer:

Step-by-step explanation:

1.-60

2.-7

3.15

Answer:

3

Step-by-step explanation:

3y=12y-27

27=9y

y=3

Answer:

B. >

Step-by-step explanation:

Absolute values (|x|) just make the number inside positive so 9.9 > 1.4

Answer:

negative. the slope is proceeding down

Answer:

325 is the answer

Answer:

3"x4

Step-by-step explanation:

The symbol for a foot is "ft", sometimes denoted by a prime(') , also, the inch is denoted by a double prime(").

Given

2 1/2inces (2.5") blue print represents 10ft living room

We are told that the dimension of the room on the blueprint is

12'x16'

Let us convert 12' to inches

So

2.5" represents 10'

X ' will be 12'

Cross multiplying

X=(2.5*12)/10

X=3"

Let us convert 16' to inches

So

2.5" represents 10'

Y ' will be 16'

Cross multiplying

Y=(2.5*16)/10

Y=4"

the dimension of the blue print is

3"x4"

The answer is 63

Glad I could help :)

Answer:

117

Step-by-step explanation:

angle 2 is a vertical angle to 63. This means that it is equal to 2. So angle two is 63 degrees.

angle 2 and 7 add up to 180 degrees. You know that angle 2 is 63 degrees. So you do 180-63 degrees which leaves you with 117 degrees. Angle 7 is 117 degrees.

angle 5 and 7 are also vertical angles. Which means 5 is also equal to 117.

The answer is 117 degrees.

Answer:

Step-by-step explanation:

507.99+2246.73=

Answer: $29850

Step-by-step explanation:

From the question, we are informed that Kevin earned $28,500 in gross wages last year and had $1,350 in capital gains.

The amount of Kevin's income from last year that is subject to income tax will be the addition of the amount he earned and his capital gains. This will be:

= $28500 + $1350

= $29850

do you want us to add, subtract, multiply, divide...what..?

Answer:

the answer is 420 666 6969

Step-by-step explanation:

Answer:

heekiiitytyty

Step-by-step explanation:

d

Answer:

it's A on PLATO

Step-by-step explanation:

Answer:

AAAAAA

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Slope formula, change if y over change of x

14 - 8 = 6

5 - 3 = 2

6/2 = 3

Answer:

4230--W291-WW3

Step-by-step explanation:

im -2 hi

Answer:

B. Reflection

Step-by-step explanation:

Answer:

translation is the correct answer

Answer: $6.60

explanation: set up a proportion: x/44 = 15/100.

cross multiply: 44x100=660. 660/100=6.6

Answer: psss down here (=

Step-by-step explanation: in math, slope is used to describe the steepness and direction of lines. By just looking at the graph of a line, you can learn some things about its slope, especially relative to other lines graphed on the same coordinate plane.