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Elodia [21]
4 years ago
10

7. Mr. Newman bought 8 tickets to a chili supper and spent a total of $30. He bought a combination of adult tickets for $5 each

and child tickets $3 each. Which system of equations below will determine the number of child tickets, c, and the number of adult tickets, a, he bought?
Mathematics
2 answers:
igor_vitrenko [27]4 years ago
7 0

So, there are two equations.

5a + 3c = 30

a + c = 8, therefore, a = 8 - c


5a + 3c = 30

5(8 - c) + 3c = 30

40 - 5c + 3c = 30

-2c = -10

c = 5 , So a = 3

iragen [17]4 years ago
3 0

The answer is D. 5a + 3c = 30 a + c = 8

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yaroslaw [1]
N = 45

Hope this helps!!!
7 0
3 years ago
Read 2 more answers
Dilate the given points distance from the origin (x,y) (0.8x, 0.8y) . The point (-10,-20) becomes & point (15,25) become
dalvyx [7]

Answer: The point (-10,-20) becomes (-8,-16) & point (15,25) becomes (12,20).

Step-by-step explanation:

When a point (x,y) is dilated by a scale factor k from the origin, then the new points become

(kx,ky).

The given rule of dilation : (x,y) →(0.8x, 0.8y)

The first point is (-10,-20), so its image will be

(-10,-20)\to (0.8\times-10,0.8\times-20)=(-8,-16)

So, the point (-10,-20)  becomes (-8,-16).

The second point is (15,25), so its image will be

(15,25)\to (0.8\times15,0.8\times25)=(12,20)

So, the point (15,25) becomes (12,20).

Hence, the point (-10,-20) becomes (-8,-16) & point (15,25) becomes (12,20).

8 0
3 years ago
the area of a rectangular field is x^2-x-72 m^2. The length of the field is x+8 cm. What is the width of the field meters.
Gre4nikov [31]
Hello,


A(x)=x²-x-72 (m²)
L=(x+8) (cm)= (x+8)/100 (m)

We suppose here x≠-8
(in reality x²-x-72>0 ==>x<-8 or x>9
but x+8>0 ==> x>-8
 then
only x>9 are solutions)

W=A(x)/ ((x+8)/100 )=100*(x²-x-72)/(x+8)= 100*(x-9)(x+8)/(x+8)=100*(x-9)

5 0
3 years ago
Find the hypotenuse (c) of the right triangle.
Aleksandr-060686 [28]
<h2><u>Solution</u>:-</h2>

Hypotenuse (x) of the right triangle = \sqrt{7² \: + \: 11²}

Hypotenuse (x) of the right triangle = \sqrt{49 \: + \: 121}

Hypotenuse (x) of the right triangle = \sqrt{170}

Hypotenuse (x) of the right triangle = 13

The hypotenuse (x) of the right triangle is <u>1</u><u>3</u><u> </u><u>m</u>.

<h3>Hence, option (D) <u>1</u><u>3</u><u> </u><u>m</u> is correct. [Answer]</h3>
4 0
3 years ago
4162 to 3 significant figures
butalik [34]
Hey there Altagraciasouth :)

Significant Figure Question:

**Question 4162 to 3 SF

Explanation:

We first have to look for the third number in 4162. That would be 62!

So we round 62 to the nearest ten. Which gives us 60!

**Answer: 4160

Hope this helped :)
8 0
3 years ago
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