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2 years ago

3 distance questions:

1 answer:

7 0

This one actually made me think. I like your teacher.

2h 30min (2.5)×30mph=75m
1h 30min (1.5)x50mph=75m

1 hour longer when driving to Arkansas

______________________________

11h 12min (11.2)×300mph=3360m
4h 48min (4.8)×700mph=3360m

11h 12min from NY to Paris.

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The mean of three number is 15. if 2 of the numbers are 18 and 16 what is the third number

MrMuchimi

Answer:

Step-by-step explanation:

The mean is calculated as

mean = $\frac{sum}{count}$

let the third number be x , then

$\frac{18+16+x}{3}$ = 15 ( multiply both sides by 3 to clear the fraction )

34 + x = 45 ( subtract 34 from both sides )

x = 11 ← third number

3 0

3 years ago

Help solve this equation

Lemur [1.5K]

Answer:

x=1

You solve for x by cross multyplying

6 0

3 years ago

Read 2 more answers

Is 0.74 greater than 3/2

KonstantinChe [14]

Answer:

Step-by-step explanation:

if you simplify 3/2 to a decimal, you get 1.5

comparing 0.74 to 3/2 we can conclude that 3/2 is in fact greater

7 0

2 years ago

In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD=√2 cm.

Zielflug [23.3K]

Given that triangle ABC is right angle triangle. CD is altitude such that AD=BC

ABC is a right angle triangle so apply Pythogorean theorem

$AC^{2} + BC^{2} = AB^{2}$

$AC^{2} + AD^{2} = AB^{2}$ (Given that AD = BC)

$AC^{2} + AD^{2} = 3^{2}$ (Given that AB=3)

$AC^{2} + AD^{2} = 9$ ...(i)

ADC is a right angle triangle so apply Pythogorean theorem

$AD^{2} + CD^{2} = AC^{2}$

$AD^{2}+(\sqrt{2})^2= AC^{2}$

$AD^{2}+2= AC^{2}$

$AD^{2}=AC^{2} -2$ ...(ii)

Plug value (ii) into (i)

$AC^{2} + AC^{2}-2 = 9$

$2AC^{2} -2=9$

$2AC^{2} =11$

$AC^{2} =\frac{11}{2}$

$AC=\sqrt{\frac{11}{2} }$

Hence final answer is $AC=\sqrt{\frac{11}{2} }$

8 0

2 years ago

Read 2 more answers

The drama club is having a car wash as a fundraiser. They wash x cars at $5 each

Galina-37 [17]

<u>Answer:</u>

x + y ≥ 26 + 15

5x + 8y ≥ 250 (see below)

Step-by-step explanation:

First, write an equation to represent the total cost to wash cars:

$5x = cost for cars

Then, write another for trucks:

$8y = cost for trucks

If the question is saying that they will wash at least 26 cars and 15 trucks, that means they could wash more. This means that we'll need an inequality:

This inequality represents that the total number of cars and trucks they wash will be at least—which means that it is equal to or greater than—than the amount given:

x + y ≥ 26 + 15

Any equation or inequality with two unknowns is not solvable, meaning we need a system of equations:

If they make at least $250, that means that we need to combine the costs of the cars and trucks to make an inequality:

5x + 8y ≥ 250

Now you have your system of equations:

x + y ≥ 26 + 15

5x + 8y ≥ 250

8 0

2 years ago