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Karolina [17]
2 years ago
11

The lunch lady has 8 pounds of lasagna. If she makes 15-pound servings using this amount of lasagna, how many servings can she m

ake?
Mathematics
1 answer:
patriot [66]2 years ago
7 0

Answer:

40

Step-by-step explanation:

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80%

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Use triangle XYZ to answer questions 3-5.
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Step-by-step explanation:

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Writing Exercises
yawa3891 [41]

Answer:

A quadratic equation can be solved using the quadratic formula, the factoring method, or completing the square. You expect to get either one or two answers.

Step-by-step explanation:

First, we have to understand how to solve a quadratic equation. There are three methods, the first of which is the quadratic formula. For any quadratic equation that takes the standard form of

f(x)=ax^2+bx+c

you can solve for x by using the following formula:

x=(-b±√(b^2-4ac))/2a

Sometimes, however, the quadratic expression is factorable, meaning it can be converted into a product of two smaller expressions. For example:

x^2-4=(x-2)(x+2)

As you can see, factoring gives you the roots easily (set each smaller expression to 0 and solve for x). If the quadratic is factorable, it would be easiest to use this method first.

Completing the square is another method that can be used to solve a quadratic function. It is often preferred because it converts the function into something factorable. In order to complete the square, you have to first ensure that the quadratic term's coefficient is 1. After that, you can take the linear term's coefficient, divide it by 2, and square it. Take the new term you found and add it to the equation. Because you are adding something to an equation, you must also subtract. Now, you can complete the square and factor. An example can be found below:

x^{2}-6=0\\\\(x^2-6+9)-9=0\\\\(x-3)^2-9=0\\\\(x-3-3)(x-3+3)=0\\\\x(x-6)=0\\\\x=0, x=6

A quadratic equation can only have up to two solutions. You can imagine the graph of a quadratic. It looks like a parabola and only changes directions once. This means that it only crosses the x-axis two times. You can also look at the examples given and see that factoring only gives you two smaller expressions (leading to 2 roots). Sometimes, however, you might get a double root, leading to an equation with only one solution. This happens when the discriminant of the quadratic equation is 0. You can calculate this in advance to save yourself some time.

4 0
1 year ago
A hotel has 45 rooms. The hotel is building a new wing that will contain 25 rooms. How many rooms total will the hotel have afte
lubasha [3.4K]
70 rooms...use addition
3 0
3 years ago
Read 2 more answers
4. Evaluate -8÷2+12×9-4x6\<br>56÷7x2​
olchik [2.2K]

Answer:

98

Step-by-step explanation:

In Questions that involve multiple mathematical operations, we use the BODMAS or PEMDAS.

BODMAS is an acronym and it represents; Bracket, Order, Division, Multiplication, Addition, and Subtraction.

PEMDAS is also an acronym that means the same thing with BODMAS, it represents; Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction

We solve using the order present in BODMAS

-8 ÷ 2 + 12 × 9 - 4 x 6 \  56 ÷ 7 x 2​

Solving all Multiplication, we have;

-8 ÷ 2 + 12 × 9 - 4 x 6 \  56 ÷ 7 x 2​

-8 ÷ 2 + 108 - 24 \  56 ÷ 14

Solving all Division, we have;

-8 ÷ 2 + 108 - 24 \  56 ÷ 14

-4 + 108 - 24 \  4

-4 + 108 - 6

Solving all Addition, we have;

-4 + 108 - 6

104 - 6 = 98

4 0
2 years ago
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