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amm1812
1 year ago
5

Max has a collection of 99 dimes and pennies worth $4.41. How many pennies does he have?

Mathematics
2 answers:
vladimir1956 [14]1 year ago
7 0
Delete or comment answer I'm tired sorry
Natali5045456 [20]1 year ago
4 0

Max has a collection of 99 dimes and pennies worth $4.41.

1 dime = 10 cents

1 penny = 1 cent

1 dollar = 100 cents so 4.41 dollars = 4.41* 100 = 441 cents

Lets 'd' be the number of dimes

Let 'p' be the number of pennies

dimes + pennies = 99

So equation-1 becomes d + p = 99

Worth of dimes and pennies is 440 cents

Worth of 'd' dimes is 10d

Worth of 'p' pennies is 1p

So the equation-2 becomes 10d + 1p = 441

Solve both the equations

10d + 1p = 441

d + p = 99

Multiply the second equation by 10 and then subtract it

10d + 1p = 441

-10d -10p =-990

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

-9p =- 549

Divide by -9 on both sides

So p = 61

Max have 61 pennies .


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1 year ago
Help plz
Ber [7]

Answer:

Definition of bisector

Angle addition postulate

same side interior angles theorem

subtraction property of equality

Step-by-step explanation:

It is given that m║n, m∠1 = 65°,m∠2=60° and BD --> bisects ∠ABC . Because of triangle sum theorem, m∠3 = 55°. By the definition of bisector , ∠3 ≅∠4, so m∠4= 55°. Using the angle addition postulate , m∠ABC = 110°, m∠5 = 110° because vertical angles are congruent . Because of same side interior angles theorem, m∠5 +m∠6 = 180°. Substituting gives 110°+ m∠6 =180°, so by the subtraction property of equality , m∠6 = 70°.

5 0
1 year ago
The graph below shows the air temperature of a location (y), in degrees Celsius, after different time intervals (x), in hours: G
Arisa [49]

Answer:

it is decreasing in the time interval 0<x<2 hours.

Step-by-step explanation:

Graph of first line going through ordered pairs A(0, 40) and B(2, 10).

Graph of second line going through ordered pairs B(2, 10) and C(4, 10). Graph of third line going through ordered pairs C(4, 10) and D(7, 50).

When movement is from point A to B, change in x = 2 and change in y = -30

Hence change for unit x = -30/2 = -15 ... i

When movement is from point B to C, change in x = 2 and change in y = 0

Hence change for unit x = 0/2 = 0 ... ii

When movement is from point C to D, change in x = 3 and change in y = +40

Hence change for unit x = 40/7 = 5.71  .. iii

Hence from A to B it is decreasing, B to C it remains constant and C to D it is increasing.

x coordinate represents hours and y coordinate degrees.

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8 0
1 year ago
Read 2 more answers
If c = 10d, what percent of 3c is 3d?
son4ous [18]

Answer:

1000%

Step-by-step explanation:

c=10d,

3c will become 3*10d=30d

d is 10 times to c which converts to 1000%

6 0
1 year ago
Consider the system of linear equations. x + y = 9.0 0.50 x + 0.20 y = 4.05 Find the values of x and y .
mixas84 [53]

Answer:

x=7.5

y=1.5

Step-by-step explanation:

x + y = 9.0

subtract x from both sides

y=9-x

0.50x + 0.20y= 4.05

0.50 x +0.20(9-x)= 4.05

0.50x+1.8-0.2x= 4.05

combine like terms

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subtract 1.8 from both sides

0.30x=2.25

divide both sides by 0.3

x=7.5

y=9-x

y=9-7.5

y=1.5

4 0
1 year ago
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