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mixas84 [53]
3 years ago
10

There were 532 people at the Nutcracker. If admission was $24 for adults and $16 for children and $10,272 was collected, how man

y adults and children attended? Write a system of equations and a solution statement.
Mathematics
1 answer:
anzhelika [568]3 years ago
4 0
X = # adults

y = # children


system

24x+16y=$10272
x + y =532

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What is (3⁴×5⁴)-³ =?​
Kay [80]

Answer:

The solution to the given expression is 1/2562890625

Step-by-step explanation:

(3⁴ × 5⁴)⁻²

Simplify the terms inside the parentheses. 3⁴ × 5⁴ is the same as 15⁴ because even though the base numbers are different, the exponents are the same which makes it similar.

(15⁴)⁻²

Now, for this step, we are going to add the exponents because when multiplying, the exponential numbers add together. So 4 × -2 = -8.

15⁻⁸

Since we can not have a negative exponent, we are going to change this into a fraction. We do this by putting this term in a fraction where 1 is the numerator and the term is the denominator.

1 / 15⁻⁸

Now, we simplify the term on the bottom.

1 / 2562890625

So, this is the solution to the problem.

7 0
3 years ago
If a,b, and c are prime numbers, do (a+b)(a+b) and cc have a common factor that is greater than 1?
Tanya [424]

Answer:

1. Information is not sufficient

2. Information is not sufficient

Step-by-step explanation:

Question Modified

If a,b, and c are prime numbers, do (a+b) and c have a common factor that is greater than 1?

(1) a,b, and c are all different prime numbers

(2) c≠2

Explanation

1. Let's assume values of 1,3 and 5 to a, b, and c respectively

a + b = 1+3 = 4

4 and 5 do not have any common factor aside 1

Let's assume values of 1,3 and 2 to a,b and c respectively

a + b = 1+3 = 4

4 and 2 have a common factor of 2

So, the available information is not sufficient

2.

Let's assume values of 2,7 and 3 to a b and c response

a + b = 2 + 7 = 9

9 and 3 have a common factor of 3

Also, let's assume values of 2,7 and 5 to a, b and c

a + b = 2 + 7 = 9

9 and 5 do not have a common factor

So, the available information is also not sufficient to answer the question.

3 0
3 years ago
What is the discriminant of the quadratic equation 2x + 5x2 = 1?<br> –18<br> –16 <br> 22 <br> 24
kakasveta [241]
Hello,

Answer D

Δ=2²-4*5*(-1)=4+20=24

5 0
3 years ago
Read 2 more answers
Relationship A has a lesser rate than Relationship B. This table represents Relationship B.
Alja [10]

Answer:

y = 18.1x ; and y = 18x

Explanation:

The rate of change in Relationship B can be found by using the formula for slope:

m=\frac{y_2-y_1}{x_2-x_1}

Using the first two points, we have

m=\frac{73-36.50}{4-2}=\frac{36.50}{2}=18.25

We know that Relationship A has a lesser rate than this.  The choices given for Relationship A are written in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept (in this case b = 0).

The slope of the first equation is 18.1; this is less than 18.25.

The slope of the second equation is 18.6; this is greater than 18.25.

The slope of the third equation is 18.3; this is greater than 18.25.

The slope of the fourth equation is 18; this is less than 18.25.

6 0
3 years ago
Read 2 more answers
15
Alex_Xolod [135]

Answer:

The answer is 15

Step-by-step explanation:

its 15 because unit rate is like 60 min=1 hour

and in this situation, the unit rate would be 15 because for every hour he earns 15 dollars

3 0
2 years ago
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