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IrinaK [193]
3 years ago
9

Abigail is driving on a long road trip. She currently has 13 gallons of gas in her car. Each hour that she drives, her car uses

up 1 gallon of gas. How much gas would be in the tank after driving for 2 hours? How much gas would be left after tt hours?
Mathematics
1 answer:
denpristay [2]3 years ago
6 0

Answer:

11

Step-by-step explanation:

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The Basketball Boosters Club plans a pancake supper to raise $1,200. They can serve 240 people. They
wolverine [178]

\huge{ \mathfrak{  \underline{ Answer} \:  \:  ✓ }}

let the number of

  • adults be x

  • children be y

Total number of people : adults + children

  • x + y = 240

  • x = 240 - y - [1]

Total money earned from adults :

  • 6 × x = 6x

Total money earned from children :

  • 2 × y = 2y

Therefore, total money = money earned from each Adult and children.

  • 6x + 2y = 1200 -[2]

Now, let's plug the value of x from equation [1] into equation [2]

  • 6 (240 - y) + 2y = 1200

  • 1440 - 6y + 2y = 1200

  • -4y = 1200 - 1440

  • -4y = - 240

  • y = 60

let's plug the value of y in equation [1]

  • x = 240 - y

  • x = 240 - 60

  • x = 180

Hence, we get :

  • total adults = x = 180

  • total children = y = 60

Correct option is C

_____________________________

\mathrm{ ☠ \: TeeNForeveR \: ☠}

7 0
3 years ago
Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for
nevsk [136]

Answer:168

Step-by-step explanation:   First you do 82 times 3.75 which is 307.50. Then you do 2071.5 - 307.5 = 1764 Then you do 1764 divided by 10.50 which is 168

9 0
3 years ago
Read 2 more answers
The number of carbon atoms in a fossil is given by the function y= 5100(0.95)^x where x represents the number of years since bei
natita [175]

Answer:

This is a guess!

When looking at the given equation I can not help but think of compound interest. So I am going to convert this into that format.

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Within the context of financial interest:

Looking for:

P

(

1

−

x

)

n

Where P is the principle sum,

x

is the interest and n is the number of interest cycles (annual)

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Given:

y

=

5100

(

0.95

)

x

But

0.95

=

1

−

0.05

so we have

y

=

5100

(

1

−

0.05

)

x

But

.

0.05

=

5

100

So we have

y

=

5100

(

1

−

5

100

)

x

Thus the percentage change each year is

−

5

%

Step-by-step explanation:

8 0
3 years ago
Given: △DMN, DM=10 3 m∠M=75°, m∠N=45° Find: Perimeter of △DMN
OlgaM077 [116]

Angle D is 180° -75° -45° = 60°. Drawing altitude MX to segment DN divides the triangle into ΔMDX, a 30°-60°-90° triangle, and ΔMNX, a 45°-45°-90° triangle. We know the side ratios of such triangles (shortest-to-longest) are ...

... 30-60-90: 1 : √3 : 2

... 45-45-90: 1 : 1 : √2

The long side of ΔMDX is 10√3, so the other two sides are

... MX = MD(√3/2) = 15

... DX = MD(1/2) = 5√3

The short side of ΔMNX is MX = 15, so the other two sides are

... NX = MX(1) = 15

... MN = MX(√2) = 15√2

Then the perimeter of ΔDMN is ...

... P = DM + MN + NX + XD

... P = 10√3 +15√2 + 15 + 5√3

... P = 15√3 +15√2 +15 . . . . perimeter of ΔDMN

5 0
3 years ago
Toillet paper is sold in cases for 36 rolls for $14.99 what is the per price per roll?
Eva8 [605]
Alright, so the unknown value here we want to know is the price of one roll of TP. Let's call it "x".
36x=14.99
Divide both sides by 36 to get the price of a single roll.
x=.41638888....
We have to round this to hundredths because we're talking in cents, so...
x=.42
Each roll of toilet paper costs 42 cents.
8 0
3 years ago
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