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worty [1.4K]
3 years ago
12

Admission to a local aquarium is $10 for adults and S7 for children. The aquarium collected $6,459 from the sale of 783 tickets.

How many childrens tickets were sold?
(1) 326
(2) 362
(3) 417
(4) 457​
Mathematics
1 answer:
Anarel [89]3 years ago
3 0

Answer:

The answer is 457

Step-by-step explanation:

You set up an equation as

10a+7c=6459

a+c=783

c= child

a= adult

then you simplify to 3a=978 by taking out one of the values.  You get a - 326.

783-326=457 so there is your answer

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Carol bought a coloring book. It is 11 inches long and 8 inches wide. What is the diagonal length of the book?
Leokris [45]

Answer:

13.6 inches

Step-by-step explanation:

We can use Pythagorean theorem: c=\sqrt{a^{2} +b^{2} }

Let c be the diagonal length, a for length, and b for width.

Substitute the values.

c=\sqrt{11^{2}+8^{2}  }

c=13.6 inches

7 0
3 years ago
(-1/3) to the power of five?
Bumek [7]

\bf \left( -\cfrac{1}{3} \right)^5\implies \left( -\cfrac{1}{3} \right)\left( -\cfrac{1}{3} \right)\left( -\cfrac{1}{3} \right)\left( -\cfrac{1}{3} \right)\left( -\cfrac{1}{3} \right)\implies -\cfrac{1^5}{3^5}\implies -\cfrac{1}{243}


recall minus * minus * minus * minus * minus is minus.

8 0
3 years ago
The median of the values in a data set is y. If 48 were subtracted from each
3241004551 [841]

Answer:

Answer would be D.

8 0
2 years ago
Solve the given initial-value problem. the de is of the form dy dx = f(ax + by + c), which is given in (5) of section 2.5. dy dx
shutvik [7]

\dfrac{\mathrm dy}{\mathrm dx}=\cos(x+y)

Let v=x+y, so that \dfrac{\mathrm dv}{\mathrm dx}-1=\dfrac{\mathrm dy}{\mathrm dx}:

\dfrac{\mathrm dv}{\mathrm dx}=\cos v+1

Now the ODE is separable, and we have

\dfrac{\mathrm dv}{1+\cos v}=\mathrm dx

Integrating both sides gives

\displaystyle\int\frac{\mathrm dv}{1+\cos v}=\int\mathrm dx

For the integral on the left, rewrite the integrand as

\dfrac1{1+\cos v}\cdot\dfrac{1-\cos v}{1-\cos v}=\dfrac{1-\cos v}{1-\cos^2v}=\csc^2v-\csc v\cot v

Then

\displaystyle\int\frac{\mathrm dv}{1+\cos v}=-\cot v+\csc v+C

and so

\csc v-\cot v=x+C

\csc(x+y)-\cot(x+y)=x+C

Given that y(0)=\dfrac\pi2, we find

\csc\left(0+\dfrac\pi2\right)-\cot\left(0+\dfrac\pi2\right)=0+C\implies C=1

so that the particular solution to this IVP is

\csc(x+y)-\cot(x+y)=x+1

5 0
3 years ago
I will give you Brainliest and 500 points if you do this please
aleksley [76]

Answer:

1. C

2. D

Step-by-step explanation:

1.

Pattern A is adding by 2's (1 -> 3, 4 -> 6, 7 -> 9 and so on).

Pattern B is multiplying by 2's (2 -> 4, 3 -> 6, 4 -> 8 and so on).

2.

If 0.25 gallons of paint = 24 ft^2, then 1 gallon will equal?

Set up an equation:

Variable x = area of ft^2 for 1 gallon of paint

0.25/24 = 1/x

Cross multiply

0.25 × x = 24 × 1

0.25x = 24

To make calculations easier, you can convert the decimal into a fraction: 0.25 = 1/4

1/4x = 24

Multiply both sides by 4

1x = 96

x = 96 ft^2

Check your work:

0.25/24 = 1/96

0.25 × 96 = 24 × 1

24 = 24

Correct

6 0
2 years ago
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