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Maru [420]
3 years ago
14

The chef took out 54.8 g of butter but then found out that he took out 6.9 g of butter more than he needed. How much butter did

he need?
Mathematics
1 answer:
stira [4]3 years ago
6 0

Answer:

47.9 gm

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Total butter took = 54.8 gm

Extra butter quantity = 6.9g

So, we can calculate the exact quantity of butter needed by using following formula,

Exact butter needed = Total butter - Extra butter quantity

By putting the value, we get

Exact butter needed = 54.8 gm - 6.9gm

= 47.9 gm

Hence, he need 47.9gm butter.

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I have no idea what this is
7 0
3 years ago
I need help with this
Ksenya-84 [330]

Answer:

6.7-(-2.5)=9.2                  6.7+(-2.5)=4.2                          Neither

2.5 + 6.7                          6.7 - 2.5                                  2.5 - 6.7

                                       -2.5 + 6.7                                 -2.5 - 6.7

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7 0
3 years ago
Factor the polynomial, x2 + 5x + 6
patriot [66]

Answer:

Choice b.

x^{2} + 5\, x + 6 = (x + 3)\, (x + 2).

Step-by-step explanation:

The highest power of the variable x in this polynomial is 2. In other words, this polynomial is quadratic.

It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to 0.)

After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.

Apply the quadratic formula to find the two roots that would set this quadratic polynomial to 0. The discriminant of this polynomial is (5^{2} - 4 \times 1 \times 6) = 1.

\begin{aligned}x_{1} &= \frac{-5 + \sqrt{1}}{2\times 1} \\ &= \frac{-5 + 1}{2} \\ &= -2\end{aligned}.

Similarly:

\begin{aligned}x_{2} &= \frac{-5 - \sqrt{1}}{2\times 1} \\ &= \frac{-5 - 1}{2} \\ &= -3\end{aligned}.

By the Factor Theorem, if x = x_{0} is a root of a polynomial, then (x - x_0) would be a factor of that polynomial. Note the minus sign between x and x_{0}.

  • The root x = -2 corresponds to the factor (x - (-2)), which simplifies to (x + 2).
  • The root x = -3 corresponds to the factor (x - (-3)), which simplifies to (x + 3).

Verify that (x + 2)\, (x + 3) indeed expands to the original polynomial:

\begin{aligned}& (x + 2)\, (x + 3) \\ =\; & x^{2} + 2\, x + 3\, x + 6 \\ =\; & x^{2} + 5\, x + 6\end{aligned}.

4 0
2 years ago
What is the reciprocal of 6/5? <br> A. 1 <br> B. 1 1/5 <br> C. 12/10 <br> D. 5/6
Sergio039 [100]
The reciprocal of 6/5 is D. 5/6

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We need to get reciprocal of a fraction when division is performed.

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2 may be a whole number but in fraction form it is 2/1.

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In dividing fractions, the 1st step we need to do is to get the reciprocal of the 2nd fraction.

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Then, we multiply the 1st fraction to the reciprocal of the 2nd fraction.
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So, 2 ÷ 1/5 = 10

8 0
3 years ago
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Solve. Write your answer in interval notation.
lina2011 [118]

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Step-by-step explanation:

subtract 4 from each side

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x < 3 or x ≥ 11

make sure you have an OPEN DOT at 3 pointing to negative infinity and a CLOSED DOT at 11 pointing to positive infinity.  

3 0
3 years ago
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