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2 years ago

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Here is another riddle: The sum of two numbers is less than 2. If we subtract the second number from the first, the difference i

s greater than 1. What are the two numbers? The riddle can be represented by a system of inequalities. Write an inequality for each statement.

1 answer:

aivan3 [116]2 years ago

4 0

Answer:

Let x, y be the two numbers under consideration. Then, x+y<2 and x-y>1.

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Jeff earned his pilot's license and flew to visit his brother 200 miles away. A headwind of 20 mph slowed down the plane's speed

lora16 [44]

<h2>Plane's speed without wind i s 117.68 mph</h2>

Step-by-step explanation:

We have speed of plane without wind is x.

Distance to brothers place = 200 miles.

A headwind of 20 mph slowed down the plane's speed on the first leg of the trip

Speed to brothers place = x - 20

We have

Distance = Speed x Time

$200=(x-20)\times t_1\\\\t_1=\frac{200}{x-20}$

A tailwind of 20 mph sped up the plane on the return trip

Speed of return trip = x + 20

We have

Distance = Speed x Time

$200=(x+20)\times t_2\\\\t_2=\frac{200}{x+20}$

The entire trip took 3.5 hours.

That is

$t_1+t_2=3.5\\\\\frac{200}{x-20}+\frac{200}{x+20}=3.5\\\\200x+4000+2000x-4000=3.5(x-20)(x+20)\\\\400x=3.5x^2-1400\\\\7x^2-800x-2800=0\\\\\texttt{x = 117.68mph or x =-3.40mph}$

Plane's speed without wind i s 117.68 mph

7 0

2 years ago

A salesperson earns a salary of $700 per month plus 2% of the sales. Which inequality correctly represents the term total sales

gulaghasi [49]

Answer = B, because 2% of 55,000 equals $1,100 then you add the $700 salary bringing you to the minimum $1,800

5 0

2 years ago

Read 2 more answers

r-ruslan [8.4K]

Answer:

The correct option is 4.

Step-by-step explanation:

If a figure it dilated by scale factor k, then the image and preimage are similar figures and their corresponding sides are proportional.

In triangle I, the base of the triangle is 1 unit and length of the perpendicular is 1 units.

In triangle II, the base of the triangle is 1 unit and length of the perpendicular is 2 units.

$\frac{1}{1}\neq \frac{1}{2}$

The corresponding sides are not proportional. It means both triangles are not similar. So, there is no dilation transforming triangle I into triangle II.

Therefore the correct option is 4.

6 0

2 years ago

Read 2 more answers

Trisha and Malia went to the mall with their mom. Trisha spent $15.60 on a pair of sunglasses. Malia spent $29.80 more than Tris

mr Goodwill [35]

Answer:

$113.50

Step-by-step explanation

add $15.60 + $29.80 = $45.40
multiply $45.40 x 2.5 = $113.50

7 0

2 years ago

Caroline resting heart is 52 beats per minute (bpm). When she starts running her heart rate increases 1.25% each second until it

horsena [70]

Answer:74.55 beat per minute

Step-by-step explanation:

Given

Heart beat is 52 beat per minute

i.e. $B=\frac{52}{60}$ beat per sec

If heart rate is increases 1.25 % each sec

suppose B is the heart beat at first second therefore heat beat at 2 nd second

$B_2=B+1.25 \% B$

$B_2=B(1+1.25 \% )$

For 3 rd sec

$B_3=B(1+1.25\%)+1.25\%B(1+1.25\%)$

$B_3=B(1+1.25\%)^2$

similarly for 3 sec

$B_{30}=B(1+1.25\%)^{29}$

$B_{30}=1.433B$

$B_{30}=1.242\ \text{beat per second }$

$B_{30}=74.55\ \text{beat per minute}$

4 0

2 years ago