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Leokris [45]
3 years ago
9

A tour group split into two groups when waiting in line for food at a fast food counter. The first group bought 6 slices of pizz

a and 4 soft drinks for $ 28.28. The second group bought 5 slices of pizza and 4 soft drinks for $ 24.50. How much does one slice of pizza cost?
Mathematics
1 answer:
o-na [289]3 years ago
4 0

Answer:

$3.78

Step-by-step explanation:

Given: The first group bought 6 slices of pizza and 4 soft drinks for $ 28.28.

The second group bought 5 slices of pizza and 4 soft drinks for $ 24.50.

To find: The cost of one slice of pizza.

Solution: Let the cost of one slice of pizza be $ x, and the cost of one soft drink be  $ y.

As per question,

6x+4y=28.28 ...(1)

5x+4y=24.50 ...(2)

On subtracting equation 2 from 1 we have,

x=28.28-24.50

x=3.78

Hence, one slice of pizza costs  $3.78.

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How many years will it take for the area of the glacier to decrease to 15 square kilometers
atroni [7]

Answer:

  20ln(3)

Step-by-step explanation:

Put 15 for A and solve for t.

  15 = 45e^(-.05t)

  15/45 = 1/3 = e^(-.05t) . . . . divide by 45

  ln(1/3) = -.05t . . . . . . . . . . . take natural logs

  20ln(3) = t . . . . . . . . . . . . . . multiply by 20, simplify

It will take 20·ln(3) years for the area to decrease to 15 km^2.

5 0
3 years ago
1. The model represents an equation.
Ksivusya [100]

Answer:

nice avatar and the answer is a

i

3 0
3 years ago
Can someone please help me with #3?
kap26 [50]

Answer:


Step-by-step explanation:

First, make sure you know which section of the number line you want as 1 and 2. Next, put 0.25 not right at 0 but very close, then put 0.75 farther but not too much from 0.25. Then for the decimal 1.99 put that very close to where you marked the 2 but, not on the 2. Finally, put 2.03  very close to 2 but not exactly on the 2. Also, make sure that the number line is marked evenly.

7 0
3 years ago
Solve for g.<br> g/6 - -53 = 57
Mashcka [7]

Step-by-step explanation:

g/6 - -53 = 57

g/6 + 53 = 57

g/6 = 4

g = 4×6 = 24

5 0
3 years ago
Can someone help me with this
insens350 [35]
Let's solve this problem step-by-step.

STEP-BY-STEP EXPLANATION:

We will be using simultaneous equations to solve this problem.

The sum of angles on a straight line is 180°.

( R ) and ( 2x + 5 ) are both on the same straight line.

Therefore:

Equation No. 1 -

R + 2x + 5 = 180

R = 180 - 2x - 5

R = 175 - 2x

Vertically opposite angles are equivalent to each other.

( R ) is vertically opposite ( 3x + 15 ).

Therefore:

Equation No. 2 -

R = 3x + 15

Substitute the value of ( R ) from the first equation into the second equation to solve for ( x )

R = 3x + 15

175 - 2x = 3x + 15

- 2x - 3x = 15 - 175

- 5x = - 160

x = - 160 / - 5

x = 160 / 5

x = 32

Next we will substitute the value of ( x ) from the second equation into the first equation to solve for ( R ).

Equation No. 2 -

R = 175 - 2x

R = 175 - 2 ( 32 )

R = 175 - 64

R = 111

FINAL ANSWER:

Therefore, the answer is:

R = 111

x = 32

Hope this helps! :)
Have a lovely day! <3
7 0
4 years ago
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