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krek1111 [17]
3 years ago
13

Mary and Mia are assembling floor lamps. Mary can assemble 10 lamps per hour. Mia can complete 12 lamps per hour. Together, they

assemble 600 lamps. Let x = hours worked by Mia and y = hours worked by Mary. If Mia works for 25 hours, how many hours did Mary work?
Mathematics
1 answer:
NNADVOKAT [17]3 years ago
5 0

Answer:

12

Step-by-step explanation:

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6 0
3 years ago
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Can someone please help me with these math problems ASAP?!<br> Thanks in advance! ;)
Mamont248 [21]

Answer:

11) Here given Function,

f(x) = \sqrt{2x-11}

And, g(x) = -|0.1|x+5

For f(x) = g(x)

\sqrt{2x-11}=-|0.1|x+5

2x-11=(-|0.1|x+5)^2

2x-11=0.01x^2 - 10|0.1|x+25

2x=0.01x^2 - 10|0.1|x+25+11

2x=0.01x^2 - 10|0.1|x+36

0.01x^2 - 10|0.1|x - 2x+36=0

When we solve this equation,

We found,

 x = 12.5227 ≈ 12.53

Thus, the required solution is, x = 12.53

12) Here the height of rocket A in x second,

f(x) = -16x^2+74x+9

And, The height gain by the rocket B in x seconds,

g(x) = -16x^2+82x

If at x seconds both A and B gain the same height,

That is, f(x) = g(x)

⇒ -16x^2+74x+9= -16x^2+82x

⇒74x + 9 = 82x

⇒ 82x - 74x = 9

⇒ 8x = 9

⇒ x = 1.125 ≈ 1.13

Thus, the required solution is x = 1.13 seconds (approx)


4 0
3 years ago
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
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