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Anestetic [448]
2 years ago
15

The school that Scott goes to is selling tickets to the annual dance

Mathematics
1 answer:
zalisa [80]2 years ago
4 0
Senior tickets (x)
Child tickets (y)

First day: 3x + 5y = 70

second day: 12x + 12y = 216

Solve the system of equations (use elimination)

Multiply first equation by -4 -4(3x + 5y = 70), which makes it

-12x - 20y = -280
(+)12x + 12y = 216 add to second equation

-8y = -64

divide by -8. y = 8

Plugin the y value to either equation ( I will choose first equation)

3x + 5(8) =70

3x+ 40 = 70

3x = 30

x = 10

Senior tickets are $10, child tickets are $8
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This table shows temperatures in an Arctic city during
ioda

According to the temperature changes, it is found that:

  • On Tuesday, the temperature at Noon was of -28.5 ºF.
  • On Wednesday, the temperature at Midnight was of -5.5 ºF.
  • On Thursday, the change was of -11.8 ºF.
  • On Friday, the temperature at Noon was of -4.5 ºF.

<h3>What is the temperature change?</h3>
  • The temperature change during a period is given by the <u>temperature at the end of the period subtracted by the temperature at the start of the period</u>.

On Tuesday:

  • At the start of the period, the temperature was of -17.5 ºF.
  • The change was of -11 ºF.

Hence:

-11 = T_N - T_M

-11 = T_N + 17.5

T_N = -28.5

On Tuesday, the temperature at Noon was of -28.5 ºF.

On Wednesday:

  • At the end of the period, the temperature was of 10 ºF.
  • The change was of 15.5 ºF.

Hence:

15.5 = 10 - T_M

T_M = -5.5

On Wednesday, the temperature at Midnight was of -5.5 ºF.

On Thursday:

  • At the end of the period, the temperature was of -24 ºF.
  • At the start of the period, the temperature was of -12.2 ºF.

Hence:

C = -24 - (-12.2) = -24 + 12.2 = -11.8

On Thursday, the change was of -11.8 ºF.

On Friday:

  • At the start of the period, the temperature was of -21.8 ºF.
  • The change was of 17.3 ºF.

Hence:

17.3 = T_N - T_M

17.3 = T_N + 21.8

T_M = -4.5

On Friday, the temperature at Noon was of -4.5 ºF.

You can learn more about change at brainly.com/question/24313700

8 0
2 years ago
Sara threw her math book off a building . The height of the book, seconds after being thrownis modeled by the equation below. Th
Vikentia [17]

Answer: 70 ft

Step-by-step explanation:

Given

height of book is measured by the function is

h(x)=-5(x+2)(x-7)

when the book is thrown x=0

\therefore h(x=0)=-5(0+2)(0-7)\\\Rightarrow h(x=0)=70\ ft

The height of the book is 70\ ft

4 0
2 years ago
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Firdavs [7]
2x+20=58 then your would subtract 20 from 58 which would turn into 38 and your would divide 38/2 it would be 19 so the answer is x=19 if I’m not mistaken this is correct hope this helps
7 0
2 years ago
The object on the right is made from a square-based pyramid joined to a cuboid.
spayn [35]

Answer:

Density of steel = 80.73 gm/cm^3

Step-by-step explanation:

The figure is made up of cuboid and square pyramid.

Height of cuboid, h = 9 cm

Length of cuboid, l = 6 cm

Width of cuboid, w = 6 cm

Volume of cuboid is given by the formula:

V_{Cuboid} = l \times w \times h

V_{Cuboid} = 6 \times 6 \times 9\\\Rightarrow V_{Cuboid} = 324\ cm^3

Density of Wood , D_{Cuboid}= 0.68g/cm^3

We know that formula of Density is:

Density = \dfrac{Weight}{Volume}

D_{Cuboid} = \dfrac{W_{Cuboid}}{V_{Cuboid}}\\\Rightarrow W_{Cuboid} = V_{Cuboid} \times D_{Cuboid}

Putting the values:

W_{Cuboid} = 324 \times 0.68 = 220.32\ gm

Total weight = W_{Cuboid} + W_{Pyramid}

970 = 220.32 + W_{Pyramid}

W_{Pyramid} = 749.68 gm

Volume of pyramid is given as:

V_{Pyramid}= \dfrac{1}{3} \times \text{Area of Base} \times \text{Vertical Height}

Base is a square with side 6 cm

V_{Pyramid}= \dfrac{1}{3} \times 6 \times 6 \times (17 -9)\\V_{Pyramid}= 96\ cm^3

Density of Steel/Pyramid:

D_{Pyramid} = \dfrac{W_{Pyramid}}{V_{Pyramid}}\\\Rightarrow D_{Pyramid} = \dfrac{749.68}{96}\\\Rightarrow D_{Pyramid} = 80.73\ gm/cm^3

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3 years ago
I need help with 6,7,8,9,10 please
Anna [14]

Can you take a picture of your whole worksheet? only the front page

7 0
3 years ago
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