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3 years ago

Dave wants to buy a bike for $180. He has $40. Dave mows lawns for $10 per lawn.

Mathematics

1 answer:

LenaWriter [7]3 years ago

5 0

Answer:

180 = 40 + 10x

Step-by-step explanation:

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Examine the diagram at right. The smaller triangle (inside of the larger triangle) is similar to larger triangle. How can you so

olchik [2.2K]

As the exercise says, the triangles are similar. So, we can set up proportions between correspondent sides.

In order to solve for x we can set up the proportion between the horizontal and vertical sides:

$28\div 11.2 = 27+x \div x$

Solving this proportion for x implies $x=18$

Now you can solve for m and p using the pythagorean theorem, because both triangles are right:

$m = \sqrt{18^2+11.2^2} =21.2$

Then, we know that the hypothenuse of the big triangle is m+p, so we have

$m+p=\sqrt{(18+27)^2+28^2} = 53$

which implies

$p = 53-p = 53-21.2=31.8$

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3 years ago

The specifications for an electronic device state that it is to be operated in a room with relative humidity ℎ defined by |ℎ − 5

Nadya [2.5K]

Answer: $\Large\boxed{20 < h < 80}$

Step-by-step explanation:

Given inequality

$|h-50| < 30$

The goal of the question

To find the minimum and maximum of the relative humidities

For this question, we need to solve the inequality

Simplify the absolute value sign

$h-50 < 30$ or $h-50 > -30$

Add 50 on both sides

$h-50+50 < 30+50$ or $h-50+50 > -30+50$

$\Large\boxed{h < 80}$ or $\Large\boxed{h > 20}$

Hope this helps!! :)

Please let me know if you have any questions

5 0

1 year ago

The high school dance team is learning a new routine to a song that lasts 3 minutes and 41 seconds, or 221 seconds total. Yester

Olegator [25]

C. 221=22h +45; 8 hours

6 0

3 years ago

Read 2 more answers

Solve using substitution

aliina [53]

Answer:

(3, -8)

Step-by-step explanation:

-3*3 - 3y = 15

-9 -3y = 15

3y = -24

y = -8

3 0

3 years ago

Stormer Company reports the following amounts on its statement of cash flow: Net cash provided by operating activities was $37,0

olchik [2.2K]

Answer:

The ending cash balance is $12,800

Step-by-step explanation:

This is an addition and subtraction problem. We begin with the initial cash balance of $6,800. Next we are "provided" cash from various activities of $37,000. Based on the word used we can tell that this means we have to add this to our initial balance like so,

$6,800 + 37,000 = 43,800$

Now our balance is $43,000. Next we are told that Net Cash "used" in investing activities is $13,600 and "used" in financing activities is $17,400. Based on this word we can tell that this money is being subtracted from our balance.

$$43,000 - 13,600 - 17,400 = 12,800$

Finally, we can see that the ending cash balance is $12,800

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

7 0

3 years ago