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posledela
3 years ago
10

A collection of nickels and quarters is worth 2.85 . There are 3 more nickels than quarters how many nickels and quarters are th

ere
Mathematics
1 answer:
Zolol [24]3 years ago
3 0

A nickel is equal to 5 cents or 0.05 dollars.

A quarter is equal to 25 cents or 0.25 dollars.

Let number of nickels be = n

Let number of quarters be = q

0.05n+0.25q=2.85    ...........(1)

As it is given, there are 3 more nickels than quarters so equation becomes,

n=q+3   ................(2)

Plug in the value of 'n' from (2) in (1)

0.05(q+3)+0.25q=2.85

= 0.05q+0.15+0.25q=2.85

0.30q=2.70

q=9

As n=q+3 we get, n=9+3=12

Hence, there are 12 nickels and 9 quarters.

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The 60-foot rope was cut into two pieces. One of the pieces was 10 feet longer than 4 times the length of the other piece. How l
koban [17]

Answer:

50 and 10

Step-by-step explanation:

x+4x+10=y

y is 60

x+4x+10=60

5x+10=60

5x=50

x=10

or

10*4=40

40+10=50

50+10=60

3 0
2 years ago
If postage costs $.54 for the first ounce and $.22 for the each additional ounce, calculate the cost of mailing a 10- ounce enve
sweet-ann [11.9K]

Answer:

Hence, the total cost of mailing 10 ounces is:

$ 2.52

Step-by-step explanation:

If postage costs $.54 for the first ounce and $.22 for the each additional ounce.

i.e. cost of first ounce=$ 0.54.

Now let x denote the number of ounces after the first ounce,

Hence, the cost of x ounces=$ (0.22×x)=$ 0.22 x

Hence, the cost of mailing (x+1) ounces is: $ (0.54+0.22 x)

Now, we have to find the cost of  mailing a 10- ounce envelope.

i.e. after the first ounce we need 9 more ounces.

Hence, the total cost of mailing is calculated as:

=$ (0.54+0.22\times 9)\\\\=$ (0.54+1.98)\\\\=$ 2.52\\

Hence, cost of mailing 10 ounces is:

$ 2.52

8 0
3 years ago
Read 2 more answers
Emma and Kyle combine their eamings to pay their
guapka [62]
<h2>Hello!</h2>

The answer is:

The second option,

b.) C(x)=40.60x+201

<h2>Why?</h2>

We are given the functions E(x) and K(x), since they both are function of the same variable, we need to add them in order to find the correct option.

From the statement we know the functions:

E(x)=22.75x+74

and

K(x)=17.85x+127

So, adding the functions we have:

C(x)=E(x)+F(x)

C(x)=(22.75x+74)+(17.85x+127)

C(x)=22.75x+17.85x+74+127

C(x)=40.60x+201

Hence, the answer is the second option,

b.) C(x)=40.60x+201

Have a nice day!

6 0
3 years ago
5x70= 5 x_____tens <br> = ______tens =______? <br> Use place value to find the product.
zhuklara [117]
5 × 70 = 5 × 7 tens = 350

WHY?

1 ten = 10 ones

70 ÷ 10 = 7 

So 7 tens. 

Hope I helped ya! 

5 0
2 years ago
Read 2 more answers
Multiply x^2+5•x^3+7 <br> I’m getting x^5+5x^3+7x^2+35 But I’m not sure if I’m right
user100 [1]

Answer:

x⁵ + 5x³ + 7x² + 35

Step-by-step explanation:

(x² + 5) (x³ + 7)

To distribute binomials (expressions with two terms), you can use the FOIL method (First, Outer, Inner, Last):

x⁵ + 7x² + 5x³ + 35

To put into standard form, rearrange from highest power to lowest power:

x⁵ + 5x³ + 7x² + 35

6 0
3 years ago
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