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tatiyna
3 years ago
9

A jar contains quarters and dimes. There are 120 total coins valuing $20.55. Define a system of equations to represent the conte

nts of the jar and then solve the system by substitution. How many quarters are in the jar?
Mathematics
1 answer:
FromTheMoon [43]3 years ago
8 0
20.55 *120=Answer
\

                    Hope it helped :D
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The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lenghts of the bases of
Sati [7]

Answer:

<h2>The lengths of the bases of the trapezoid:</h2><h2>42/h cm and 84/h cm.</h2>

Step-by-step explanation:

The formula of an area of a triangle:

A=\dfrac{bh}{2}

<em>b</em><em> </em>- base

<em>h</em> - height

We have <em>b = 21cm, h = 6cm</em>.

Substitute:

A=\dfrac{(21)(6)}{2}=63\ cm^2

The formula of an area of a trapezoid:

A=\dfrac{b_1+b_2}{2}\cdot h

<em>b₁, b₂</em> - bases

<em>h</em><em> - </em>height

We have <em>b₁ = 2b₂</em>, therefore <em>b₁ + b₂ = 2b₂ + b₂ = 3b₂</em>.

The area of a triangle and the area of a trapezoid are the same.

Therefore

\dfrac{3b_2}{2}\cdot h=63         <em>multiply both sides by 2</em>

3b_2h=126          <em>divide both sides by 3</em>

b_2h=42         <em>divide both sides by h</em>

b_2=\dfrac{42}{h}

b_1=2b_2\to b_1=2\cdot\dfrac{42}{h}=\dfrac{84}{h}

8 0
2 years ago
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Miss Gonzales opened an account with a deposit of $2,000,
Nesterboy [21]

Answer:

i think its 18%

8 0
2 years ago
HEEEEEELLLLLLLLPPPPPPPPPPPPP-2/3+1/3
motikmotik

Answer:

the total will be 1

Step-by-step explanation:

ok so the denomitor are matching so you can add straight across

1/3 +2/3 = 3/3

3/3 = 1 whole so there fore your answer is 1

Angie<3 have the best of best day today

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3 years ago
What is the length HK
Natali [406]

The answer to this question is 64mm


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3 years ago
1.6 liters of drink were equally distributed into 20 cups how many liters of drink would be in each cup
zimovet [89]

Answer:

0.08

Step-by-step explanation:

1.6 liters of the drink was distributed in 20 cups

The litres of drink in each cup can be calculated as follows

= 1.6/20

= 0.08

Hence 0.08 liters of drink would be in each cup

6 0
2 years ago
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