Use the distributive property to rewrite 28*63

Answer:

mL4 is 34 as well coz they are both vertically opposite angles.

Answer:

Jason would have to work 60 hours.

Step-by-step explanation:

The equation you would use would be 450 + 12.50t = 1200.

1200 is the money needed, 450 is a constant factor, but the 12.50 changes depending on how many hours Jason works.

You will have to use inverse operations so you would go 450 + 12.50t - 450 = 1200 - 450. That equals 12.50t = 750. Then you divide 12.50 by 750 because 12.50t is multiplying. 750 ÷ 12.5 = 60. So Jason has to work 60 hours!

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Answer:

It has no solution.

Step-by-step explanation:

I just did the test and got this right (as a matter of fact, I got 100% ^^)

It has no solution because no matter how much you multiply the two fractions to the left, it will always equal to 1/2, and 2/4, no matter how many times you multiply it, will always equal to 1/2 as well. Therefore, since those two cancel out, and the leftover numbers in the equation aren't the same, there is no possible solution for this equation.  

The solution is Option A.

The equation has no solutions

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

( 3/4z ) - ( 1/(4z+1 ) ) = 2/ (4z + 1 )   be equation (1)

Adding ( 1/(4z+1 ) )  on both sides of the equation , we get

( 3/4z ) = ( 2 + 1 ) / (4z + 1 )

On further simplification , we get

( 3/4z ) = 3/(4z + 1 )

Divide by 3 on both sides of the equation , we get

1/4z = 1/( 4z+1 )

Taking reciprocals on both sides of the equation , we get

4z = 4z + 1

Subtracting 4z on both sides of the equation , we get

1 ≠ 0

Hence , the equation has no solutions

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Answer:

2x+6

Step-by-step explanation:

took the test

Answer:

C) 41°F (5°C) to 140°F (60°C) D) 141°F

Step-by-step explanation:

The temperature danger zone refers to the range of temperatures at which bacteria can grow and multiply rapidly in food, increasing the risk of foodborne illness. It is important to understand this zone to ensure proper food safety practices.

In the temperature danger zone, which spans from 41°F (5°C) to 140°F (60°C), bacteria can multiply rapidly in food, potentially leading to food poisoning if consumed. Temperatures within this range provide an optimal environment for bacterial growth, as they promote the reproduction of microorganisms that can cause foodborne illnesses.

It is important to note that food should not be kept in the temperature danger zone for an extended period of time. To prevent the growth of harmful bacteria, perishable foods should be stored below 41°F (5°C) or above 140°F (60°C). Keeping food within these safe temperature ranges helps to reduce the risk of foodborne illnesses and ensures the safety of the food we consume.

In summary, the temperature danger zone includes temperatures between 41°F (5°C) and 140°F (60°C), and it is crucial to adhere to proper food safety practices to prevent the growth of harmful bacteria and reduce the risk of foodborne illnesses.

Final answer:

The temperature danger zone, important in food safety, falls between 41°F (5°C) and 140°F (60°C). It's key to avoid keeping food in this range to prevent bacterial growth and potential foodborne illnesses.

Explanation:

In the context of food safety, the temperature danger zone is the temperature range in which foodborne bacteria can grow. This zone is typically defined as being between 41°F (5°C) to 140°F (60°C). Therefore, option C is correct. It's very important to keep food out of this range to prevent foodborne illnesses. When food is kept at a temperature inside this danger zone, pathogens can multiply quickly, especially if conditions last longer than two hours.

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Let us take costs of a piece of toast = $t, , one bagel cost=$b and a muffin cost=$m.

Larry

Two pieces of toast and a bagel cost  = $1.30

2t+b=1.30   -------------equation(1)

Let us solve the equation(1) for t in terms of b, because we need to find one bagel cost.

Subtracting b from both sides we get

2t+b-b=1.30-b

2t= 1.30-b

Dividing by 2 on both sides.

2t/2= (1.30-b)/2

t= (1.30-b)/2

Curly

A bagel and a muffin cost = $2.50.

b + m = 2.50 -------------equation(2)

Solving equation for m in terms of b, we get

m= 2.50-b.

Moe

A piece of toast, two bagels, and three muffins cost = $6.95

t + 2b + 3m = 6.95    ......................equation(3).

Substituting t= (1.30-b)/2 and m= 2.50-b in equation (3)

(1.30-b)/2 + 2b + 3(2.50-b) = 6.95 .

Multiplying each term by 2 to get rid 2 from denominator of (1.30-b).

2*(1.30-b)/2+ 2*2b + 2*3(2.50-b) = 2*6.95

1.30-b + 4b + 6(2.50-b) = 13.90.

1.30 - b + 4b  +15 - 6b = 13.90

Combining like terms

-3b +16.30 = 13.90

Subtracting 16.30 from both sides.

-3b +16.30-16.30 = 13.90-16.30.

-3b= -2.4

Dividing both sides by -3.

-3b/-3 = -2.4/-3

b = 0.8

Therefore, cost of one bagel = $0.80.