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3 years ago

225 grams of flour are needed to make 9 cakes.

1 answer:

4 0

So basically, 9 cakes need 225 grams of flour
Therefore 1 cake needs: $\frac{225}{9}$ = 25 grams of flour

Moreover, 20 cakes need: 20 × 25 = 500 grams of flour

500 g > 475 g

Marian does not have enough flour to make 20 cakes

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Answer: x = 6

Step-by-step explanation:

$\dfrac{3}{x}+\dfrac{1}{3}=\dfrac{5}{6}$

$(6x)\dfrac{3}{x}+(6x)\dfrac{1}{3}=(6x)\dfrac{5}{6}$ multiplied by common denominator

18 + 2x = 5x

-2x -2x

18 = 3x

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Since "x" is in the denominator, the restriction is that x ≠ 0. If the solution was x = 0, then the solution would not be valid and would be eliminated as an answer.

Remember that "x" is just an unknown value. It is possible to add two fractions together and have their sum be a fraction.

For example: $\dfrac{1}{5} + \dfrac{2}{5} = \dfrac{3}{5}$ could be written as $\dfrac{1}{5} + \dfrac{2}{x} = \dfrac{3}{5}$ . When we solve it, we will get x = 5.

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Answer: Edward

Step-by-step explanation:

$f(x)=\dfrac{(x-1)(x+2)(x+4)}{(x+1)(x-2)(x-4)}$

The denominator cannot equal zero, so:

x + 1 ≠ 0 → x ≠ -1
x - 2 ≠ 0 → x ≠ 2
x - 4 ≠ 0 → x ≠ 4

Those x-values are the asymptotes, which is where the function is undefined.

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4 years ago

Maya is on her way home in her car. She has driven 20 miles so far, which is four-fifths of the way home. What is the total leng

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25 miles, if you need an explanation of how i got the answer, just ask :)

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3 years ago

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4 years ago

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Suppose that administrators at a large urban high school want to gain a better understanding of the prevalence of bullying withi

RSB [31]

Answer: $(0.273,\ 0.783)$

Step-by-step explanation:

Given : Total number of students who are asked to complete a survey anonymously : n= 240

Number of students

The proportion report that they have experienced bullying =54

Then , the proportion that students have experienced bullying = $p=\dfrac{54}{240}=0.225$

Significance interval : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}=1.96$

The confidence interval for the true proportion is given by :-

$p\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}\\\\=0.225\pm (1.96)\sqrt{\dfrac{(0.225)(1-0.225)}{240}}\\\\\approx0.225\pm0.0528\\\\=(0.255-0.528,\ 0.255+0.528)\\\\=(0.273,\ 0.783)$

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3 years ago

Solve the system of 4x-3=x^2-2x+6

bekas [8.4K]

Answer:

x = 3

Step-by-step explanation:

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