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densk [106]
2 years ago
8

Rolling an even number and the coin landing on heads

Mathematics
2 answers:
iren [92.7K]2 years ago
5 0

Answer:

\frac{1}{4}

Step-by-step explanation:

Rolling a even: \frac{3}{6} -> \frac{1}{2}

Coin on heads: \frac{1}{2}

\frac{1}{2}×\frac{1}{2} =\frac{1}{4}

alukav5142 [94]2 years ago
3 0
Heads and 10




Because 10 is an even number
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In ¾ pound of a banana bread, there is ½ cup of cinnamon. How much cinnamon does the bread contain per pound?
Shkiper50 [21]

1 pound of bread contains \frac{2}{3} cups of cinnamon.

<h3><u>Solution:</u></h3>

Given that , In \frac{3}{4} pound of a banana bread, there is \frac{1}{2} cup of cinnamon

<em><u>To find:</u></em>

Amount of cinnamon per pound in bread

Let "n" be the cinnamon per pound present in bread

\frac{3}{4} pound of banana bread ⇒ \frac{1}{2} cup of cinnamon

Then, 1 pound of bread ⇒ n cups of cinnamon

Now, let us use criss cross method (i.e. multiplying the diagonal ordered terms and equating them)

\begin{array}{l}{\rightarrow n \times \frac{3}{4}=\frac{1}{2} \times 1} \\\\ {\rightarrow n \times \frac{3}{4}=\frac{1}{2}} \\\\ {\rightarrow n=\frac{1}{2} \times \frac{4}{3}} \\\\ {\rightarrow n=\frac{2}{3}}\end{array}

Hence, 1 pound of bread contains \frac{2}{3} cups of cinnamon.

3 0
4 years ago
Brandon is paid 150% of his regular hourly rate for overtime hours. He is paid \$45.00 an hour for overtime hoursWhat is his reg
Ne4ueva [31]

Answer:

Regular hourly rate for Brandon is $30

Step-by-step explanation:

Let the payment for regular hours be $x

given that

Brandon is paid 150% of his regular hourly rate for overtime hours

payment for overtime hours = 150% of payment for regular hours

payment for overtime hours = 150/100 * x = 3x/2

Given that He is paid \$45.00 an hour for overtime hours

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3x/2 = 45

=> x = 45*2/3 = 30

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3 years ago
I need help asap pls ​
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6 0
3 years ago
Given the vertex of a quadratic function, find the axis of symmetry.
motikmotik

(i) The equation of the axis of symmetry is x = - 5.

(ii) The coordinates of the vertex of the parabola are (h, k) = (4, - 18). The x-value of the vertex is 4.

(iii) According to the <em>vertex</em> form of the <em>quadratic</em> equation, the parabola opens down due to <em>negative</em> lead coefficient and has a vertex at (2, 4), which is a <em>maximum</em>.  

<h3>How to analyze and interpret quadratic functions</h3>

In this question we must find and infer characteristics from three cases of <em>quadratic</em> equations. (i) In this case we must find a formula of a axis of symmetry based on information about the vertex of the parabola. Such axis passes through the vertex. Hence, the equation of the axis of symmetry is x = - 5.

(ii) We need to transform the <em>quadratic</em> equation into its <em>vertex</em> form to determine the coordinates of the vertex by algebraic handling:

y = x² - 8 · x - 2

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In a nutshell, the coordinates of the vertex of the parabola are (h, k) = (4, - 18). The x-value of the vertex is 4.

(iii) Now here we must apply a procedure similar to what was in used in part (ii):

y = - 2 · (x² - 4 · x + 2)

y - 4 = - 2 · (x² - 4 · x + 2) - 4

y - 4 = - 2 · (x² - 4 · x + 4)

y - 4 = - 2 · (x - 2)²

According to the <em>vertex</em> form of the <em>quadratic</em> equation, the parabola opens down due to <em>negative</em> lead coefficient and has a vertex at (2, 4), which is a <em>maximum</em>.  

To learn more on quadratic equations: brainly.com/question/1863222

#SPJ1

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1 year ago
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