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zhuklara [117]
3 years ago
14

If someone could please explain to me how to do/work these out that would be great!

Mathematics
1 answer:
Ganezh [65]3 years ago
7 0

Answer:

Place both coordinates for the first question on a graph and draw a line. The answer is the coordinate that falls on that line.

Step-by-step explanation:

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The admission fee at an amusement park is $3.50 for children and $7.00 for adults. On a certain day, 331 people entered the park
andriy [413]

Let c be children and a adults.

3.5c + 7a = 1771 (the total revenue is equal to the amounts made off of people)

c + a = 331 (total number of people)

The second formula becomes a = 331 - c. This can be substituted into the first formula.

3.5c + 7(331 - c) = 1771 = 7*331 - 3.5c = 1771. 7*331 = 2317, so 3.5c = 2317 - 1771 = 546.

546/3.5 = 156 = c (number of children).

c + a = 156 + a = 331 => a = 331 - 156 = 175 (number of adults).

There are 156 children and 175 adults

6 0
3 years ago
Read 2 more answers
I need help for this..
IgorC [24]

Answer:

chicken nuggets

Step-by-step explanation:

3 0
2 years ago
The volume of the sphere is 500 cubic units.
Illusion [34]

Answer: 5 units

Step-by-step explanation:

3 0
3 years ago
What is the equation of the quadratic graph with a focus of (-4,17/8) and a directrix of y=15/8
Temka [501]
So hmm notice the graph below

based on where the focus point is at, and the directrix, then, the parabola is opening upwards, meaning the squared variable is the "x"

\bf \begin{array}{llll}
(y-{{ k}})^2=4{{ p}}(x-{{ h}}) \\\\
\boxed{(x-{{ h}})^2=4{{ p}}(y-{{ k}})}\\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}

now, keep in mind, the vertex is at coordinates h,k
the vertex itself is half-way between the focus and directrix
the directrix is at y=15/8 and the focus is at y=17/8
so, half-way will then be \bf \cfrac{17}{8}-\cfrac{15}{8}=\cfrac{2}{8}\iff \cfrac{1}{4}

well, so is 1/4 between the focus point and the directrix, half of that is 1/8
so, if you move from the focus point 1/8 down, you'll get the y-coordinate for the vertex, or 1/8 up from the directrix, since the vertex is equidistant to either

what's the "p" distance? well, we just found it, is just 1/8

so, the x-coordinate is obviously -4, get the y-coordinate by 17/8 - 1/8   or 15/8 + 1/8

and plug your values (x-h)² = 4p(y-k)   and then solve for "y", that's the equation of the quadratic

4 0
3 years ago
Write an algebraic expression to represent the new x-coordinate after a reflection across the x-axis given any initial x-coordin
vitfil [10]

Answer:

x=x'

Step-by-step explanation:

4 0
3 years ago
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