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zheka24 [161]
3 years ago
5

Jim and Mark left a 20% tip after having lunch at a restaurant. The amount of the tip was $12. Mark's lunch cost $16. Write an e

quation to find x, the cost of Jim's lunch. Hint- 20 % = 0.2
Mathematics
1 answer:
Vlad1618 [11]3 years ago
8 0

Answer:

$44

Step-by-step explanation:

Use formula

% out of 100/100% = part/whole

20%/100 = 12/16+x

Cross multiply

(12)(100) = (20)(16+x)

1200=320+20x

Solve for x

1200-320 = 20x

880 = 20x

880/20 = x

44 = x

Jim's lunch was $44.

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2 questions plz Both will be in the comments​
lesantik [10]
The two questions aren’t there?
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2 years ago
You buy 4 bags of sand and 3 bags of pea gravel for $24. In a second purchase (at the same prices), you buy 2 bags of sand for $
Kazeer [188]

Answer:

x = $3

y = $4

Step-by-step explanation:

We need to know the prices of gravel and peas. We can find the price by using equations and graphing them.

Let X be the price of the sand

Be and the price of pea gravel

In the first purchase we have:

4x + 3y = 24

In the second purchase we have

2x = 6

Both relations represent the equation of a line. In the graphic shown, these lines are drawn. In this case the interception between both lines represents the price of each product, and the solution of the problem. You can see that the lines intersect at point (3 4). This means that the price of each bag of sand is $ 3, and the price of a bag of pea gravel is $ 4.

6 0
3 years ago
Scientific research on popular beverages consisted of 70 studies that were fully sponsored by the food industry, and 30 studies
elixir [45]

Answer:

a. 0.26

b. 0.7

c. 0.38

Step-by-step explanation:

For a)

For sponsored studies: 62 %  found the products favorable. The percentage is 0.62.

For non-sponsored studies 46% found the products favorable. The percentage is 0.46

Total probability = P(A) × P (B)

                           = 0.46 × 0.62

                           = 0.2604

For b)

Probability for the food industry = 0.7

For c) 1 - ( 0.62) = 0.38

8 0
2 years ago
Make up a word problem or scenario that uses the equation 7p+10=24. Make sure to elaborate as much as possible.
Nimfa-mama [501]

Given:

The equation is 7p+10=24.

To find:

The scenario that uses the given equation.

Solution:

If p is the price of a good. Initial supply of goods at price 0 is 10 and supply increasing by 7 units if the price increased by 1 unit, then at what price the supply will be 24 units.

According to this scenario,

Total supply = 10+7p

Equate total supply with 24, to find the price at which the supply will be 24 units.

7p+10=24

Therefore, the required scenario is "If p is the price of a good. Initial supply of goods at price 0 is 10 and supply increasing by 7 units if the price increased by 1 unit, then at what price the supply will be 24 units."

7 0
3 years ago
need help finding the definition of power of a product property, power to a power property, and power of a quotient property.
postnew [5]
The Power of a Product property tells us that when you multiply two numbers with the same base, you can add their exponents to determine the product.
For example, x^{a} * x^{b} = x^{a+b}.

The Power of a Quotient Property tells us that when you divide two numbers with the same base, you can subtract their exponents to determine the quotient.
For example, x^{a}/x^{b} = x^{a-b}

8 0
3 years ago
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