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Kazeer [188]
3 years ago
7

At the city museum, child admission is $6.00 and adult admission is $9.20. On Tuesday, twice as many adult tickets as child

Mathematics
1 answer:
jekas [21]3 years ago
3 0

Answer:

38

Step-by-step explanation:

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Find the gradient of the line segment between the points (-4,1) and (2,4). Give your answer in its simplest form.
andrew-mc [135]

Answer:

<h2>\frac{1}{2}</h2>

Solution,

Let the points be A and B

A(-4 , 1)------>( X1, y1)

B(2,4)---------->( x2, y2)

Now,

Gradient:

\frac{y2 - y1}{x2 - x1}

\frac{4 - 1}{2 - ( - 4)}

\frac{3}{2 + 4}

\frac{3}{6}

\frac{1}{2}

Hope this helps...

Good luck on your assignment...

3 0
3 years ago
Read 2 more answers
On average, how many mini marshmellows are in 1 serving? Explain.<br><br> 9+2x6÷2-8x5-7+124=
ad-work [718]
The answer would be 92 for this problem 
5 0
3 years ago
If <img src="https://tex.z-dn.net/?f=%20300cm%5E%7B2%7D%20" id="TexFormula1" title=" 300cm^{2} " alt=" 300cm^{2} " align="absmid
Artist 52 [7]
Check the picture below.  Recall, is an open-top box, so, the top is not part of the surface area, of the 300 cm².  Also, recall, the base is a square, thus, length = width = x.

\bf \textit{volume of a rectangular prism}\\\\&#10;V=lwh\quad &#10;\begin{cases}&#10;l = length\\&#10;w=width\\&#10;h=height\\&#10;-----\\&#10;w=l=x&#10;\end{cases}\implies V=xxh\implies \boxed{V=x^2h}\\\\&#10;-------------------------------\\\\&#10;\textit{surface area}\\\\&#10;S=4xh+x^2\implies 300=4xh+x^2\implies \cfrac{300-x^2}{4x}=h&#10;\\\\\\&#10;\boxed{\cfrac{75}{x}-\cfrac{x}{4}=h}\\\\&#10;-------------------------------\\\\&#10;V=x^2\left( \cfrac{75}{x}-\cfrac{x}{4} \right)\implies V(x)=75x-\cfrac{1}{4}x^3

so.. that'd be the V(x) for such box, now, where is the maximum point at?

\bf V(x)=75x-\cfrac{1}{4}x^3\implies \cfrac{dV}{dx}=75-\cfrac{3}{4}x^2\implies 0=75-\cfrac{3}{4}x^2&#10;\\\\\\&#10;\cfrac{3}{4}x^2=75\implies 3x^2=300\implies x^2=\cfrac{300}{3}\implies x^2=100&#10;\\\\\\&#10;x=\pm10\impliedby \textit{is a length unit, so we can dismiss -10}\qquad \boxed{x=10}

now, let's check if it's a maximum point at 10, by doing a first-derivative test on it.  Check the second picture below.

so, the volume will then be at   \bf V(10)=75(10)-\cfrac{1}{4}(10)^3\implies V(10)=500 \ cm^3

6 0
3 years ago
What value of z will make △DEF ≅ △JKI
Leto [7]

Answer:

z = 11

Explanation:

5y + 13 = 6y

Subtract 5y by both sides.

13 = y

Next,

z + 22 = 3z

Subtract z by both sides.

22 = 2z

Then, divide both sides by 2.

11 = z

Finally plug those answers into the equations.

5(13) + 13 = 78

6(13) = 78

(11) + 22 = 33

3(11) = 33

So △DEF ≅ △JKI because the value of z = 11.

6 0
3 years ago
350 divided by 10 to the 3rd power
Sergio [31]

Answer:

<h2>0.35</h2><h2>Step-by-step explanation:</h2>

350 divided by 10 to the 3rd power

350 : 10³ =

350 : 1000 =

0.35

7 0
2 years ago
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