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Arisa [49]
3 years ago
6

Andy has 31 coins made up of quarters and half dollars, and their total value is $11.00. How many quarters does he have?

Mathematics
1 answer:
charle [14.2K]3 years ago
3 0

Answer:

4

Step-by-step explanation:

This situation has two unknowns - the total number of half dollars and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.

  • h+q=31 is an equation representing the total number of coins
  • 0.50h+0.25q=11 is an equation representing the total value in money based on the number of coin. 0.50 and 0.25 come from the value of a half dollar and quarter individually.

We write the first equation in terms of q by subtracting it across the equal sign to get h=31-q. We now substitute this for h in the second equation.

0.50(31-q)+0.25q=11

15.5-0.50q+0.25q=11

15.5-0.25q=11

After simplifying, we subtract 15.5 across and divide by the coefficient of q.

-0.25q=-4.5

q=4

We now know of the 31 coins that 4 are quarters.

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37.362 is 7 4/5 % of what number?
rodikova [14]
To find the answer you just need to multiply 37.362 by .7 4/5 and add that answer to 37.362 and you get 62.27. 
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6 0
3 years ago
√9a^2 + √49b - a + √b<br><br><br> a. 2b + 8 √a<br><br> b. 2a - 8 √b<br><br> c. 2a + 8 √b
Firdavs [7]
The correct answer:
______________________________________________________
Explanation:
______________________________________________________
Assuming you mean:

" √(9a²)  +  (√49b)  −  a  +  √b " ;

Simplify the expression:
_________________________________________________________

Note that:  " √(9a²) = 3a " ;

                   "√(49b) = 7√b " ;   

And we write the expression

   →  " 3a  +  7√b  −  a  + √b " ; 

Combine the "like terms:

   " + 3a − a  =  2a " ;

   " +  7√b  +  1√b   =  8√b " ; 

Rewrite:  
________________________________________________________
    " 2a  +  8√b " ;  which is:  Answer choice:  [C]:  " 2a  +  8√b " .
________________________________________________________
8 0
2 years ago
Please help me!!<br> 2(5– x)3 – 11=151
konstantin123 [22]

Answer:

x = -22

Step-by-step explanation:

2(5– x)3 – 11 = 151

(10 - 2x)3 - 11 = 151

30 - 6x = 162

-6x = 132

x = -22

5 0
3 years ago
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Elanso [62]
Seth at 1 - 1/2 - 1/3 = 1/6 of the sandwich.

Therefore the ratio is:

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Multiply everything by 6:

3: 2: 1 D
6 0
3 years ago
Sarah had 8 guests at her birthday party. She cut her round cake into 12 equal slices. 8 of the slices were eaten. What is the a
Dvinal [7]

Answer:120°

Step-by-step explanation:

Given

cake is cut into 12 equal pieces

We know the top view of cake is similar to circle .

So, if a circle is divided into 12 equal parts then

each part subtend an angle of

∅ = 360/12 = 30%

If 8 slices were eaten , then 4 slices are remaining

These 4 slices measure subtend equal angle at the center therefore

4 slice measure a total of 4 × ∅

➡️ 4 x 30°

➡️ 120°

5 0
3 years ago
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