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2 years ago

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

Mathematics

2 answers:

vladimir1956 [14]2 years ago

7 0

Delete or comment answer I'm tired sorry

Natali5045456 [20]2 years 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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A new parking lot is being built for a medical office. The expression representing the number of parking spots in the new lot is

docker41 [41]

Answer:

111 spots

Step-by-step explanation:

Let y denote the total number of parking spots expressed as:

$y=\frac{15x}{4}-9\\\\$

Given that x is the number of spots in the first row.

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5 0

2 years ago

Read 2 more answers

In ADEF, f = 610 inches, e = 590 inches and ZE=70°. Find all possible values of ZF,

Elina [12.6K]

Answer:

"76°" is the appropriate solution.

Step-by-step explanation:

Please find attachment of the diagram according to the given query.

The given values are:

In ΔDEF,

f = 610 inches

e = 590

∠E = 70°

∠F = ?

By using the law of sines, we get

⇒ $\frac{Sin E}{e} =\frac{Sin F}{f}$

On substituting the values, we get

⇒ $\frac{Sin70^{\circ}}{590} =\frac{SinF}{610}$

On applying cross multiplication, we get

⇒ $SinF=\frac{610\times Sin 70^{\circ}}{590}$

On substituting the values, we get

⇒ $=\frac{61\times 0.95969262}{59}$

⇒ $=\frac{57.3212499}{59}$

⇒ $=0.971546608$

now,

⇒ $F=Sin^{-1}(0.971546608)$

⇒ $=76^{\circ}$

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2 years ago

You add 11/4 tablespoons of olive oil for every 3/2 tablespoons of balsamic vinegar to make 34 tablespoons of bread dip. How muc

Dafna11 [192]

Hey there!

Let's write this as a ratio/proportion.

$\frac{olive oil}{balsamic vinegar} = \frac{2.75}{1.5}$

The sum of this basic ratio is 4.25.

To figure out how much of each we have for 34, we divide this 34 by 4.25, our sum of the two ingredients. This will give us a factor we can multiply our two ingredient measurements by.

34/4.25=8

Now, we multiply our two ingredients by eight.

2.75(8)=22

1.5(8)=12

Note that these two add up to make 34 tablespoons.

Therefore, we have...

22 tablespoons of olive oil and 12 tablespoons of balsamic vinegar were used in the 34 tablespoons of bread dip.

I hope this helps! Have a great day! :)

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2 years ago

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2 years ago

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Answer:

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