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MrRissso [65]
3 years ago
7

A zoo train ride costs $5 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who took

the ride was 17, and the total money collected was $65. What was the number of children and the number of adults who took the train ride that day, and which pair of equations can be solved to find the numbers?
A.) 5 children and 12 adults
Equation 1: a + c = 17
Equation 2: 5a − c = 65

B.) 12 children and 5 adults
Equation 1: a + c = 17
Equation 2: 5a + c = 65

C.) 12 children and 5 adults
Equation 1: a + c = 17
Equation 2: 5a − c = 65

D.) 5 children and 12 adults
Equation 1: a + c = 17
Equation 2: 5a + c = 65
Mathematics
2 answers:
Aneli [31]3 years ago
8 0
The answer is D. Because you need to add not subtract.
stiks02 [169]3 years ago
4 0
D: 5 Children and 12 Adults 
Equation 1:a + c= 17
Equation 2: 5a + c = 65

Have a nice day!
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Answer:

k = 1 + sqrt(7/2) or k = 1 - sqrt(7/2)

Step-by-step explanation:

Solve for k over the real numbers:

4 k - 10/k = 8

Bring 4 k - 10/k together using the common denominator k:

(2 (2 k^2 - 5))/k = 8

Multiply both sides by k:

2 (2 k^2 - 5) = 8 k

Expand out terms of the left hand side:

4 k^2 - 10 = 8 k

Subtract 8 k from both sides:

4 k^2 - 8 k - 10 = 0

Divide both sides by 4:

k^2 - 2 k - 5/2 = 0

Add 5/2 to both sides:

k^2 - 2 k = 5/2

Add 1 to both sides:

k^2 - 2 k + 1 = 7/2

Write the left hand side as a square:

(k - 1)^2 = 7/2

Take the square root of both sides:

k - 1 = sqrt(7/2) or k - 1 = -sqrt(7/2)

Add 1 to both sides:

k = 1 + sqrt(7/2) or k - 1 = -sqrt(7/2)

Add 1 to both sides:

Answer: k = 1 + sqrt(7/2) or k = 1 - sqrt(7/2)

4 0
3 years ago
Evaluate the function f(-2) - h(4) given the following functions: f(x) = 4x​ 2​+ 9 h(x) = 3x - 14
Goryan [66]

Answer:

-86

Step-by-step explanation:

simplify each equation as much as possible

f(x)= 4x(2+9) add

4x(11) multiply

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substitute given numbers into each equation

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krek1111 [17]

equivalent fractions are fractions which have the same value.

equivalent fractions all have the same simplified form

we can write equivalent fractions by multiplying both numerator and denominator by the same number. We can also write equivalent fractions by dividing both numerator and denominator by the same number

so 5/10

we can get the equivalent fractions by multiplying by a common number

when we multiply by 2

\frac{5}{10}* 2= \frac{5*2}{10*2} = \frac{10}{20}

when we multiply by 3

\frac{5}{10}* 3 = \frac{5*3}{10*3} = \frac{15}{30}

when we multiply by 4

\frac{5}{10} *4 = \frac{5*4}{10*4}  = \frac{20}{40}

the three equivalent fractions are

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a silkworm winds its cocoon out of one long silk fiber. to make silk thread, 3 to 10 of these silk fibers are unwound from their
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Answer:

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Let the length of the silk fiber = x yards.

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So, we get the equation,

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So, the possible values of 'a' are 3, 4, 5, 6 an 10.

Thus, the possible lengths of the silk fibre 'x' are 100, 75, 60, 50 and 30 yards respectively.

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