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3 years ago

A plane flew at a constant speed between denver and chicago. It took thr plane 1.5 hours to fly 915 miles

Mathematics

1 answer:

Marta_Voda [28]3 years ago

3 0

To found out his constant speed

915/3=305 Meaning the plane flew 305 miles per half hour

Meaning that the plane flew 610 miles per full hour

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Solve for x: 4x - 8 = 7x - 2<br>Anyone know the answer for this one?<br>Thanks!

erastovalidia [21]

Answer:

$\huge{ \fbox{ \tt{x = - 2}}}$

Step-by-step explanation:

$\underline{ \underline{ \mathfrak{Let's \: solve}}} :$

$\star{ \sf{ \: \: 4x - 8 = 7x - 2}}$

$\text{Step \: 1} : \sf{Move \: 7x \: to \: left \: hand \: side \: and \: change \: its \: sign}$

$\mapsto{ \sf{4x - 7x - 8 = - 2}}$

$\text{Step \: 2} : \sf{Move \: 8 \: to \: right \: hand \: side \: and \: change \: its \: sign}$

$\mapsto{ \sf{4x - 7x = - 2 + 8}}$

$\text{Step \: 3} : \sf{Collect \: like \: terms}$

$\sf{Like \: terms \: are \: those \: which \: have \: same \: base}$

$\mapsto{ \sf{ - 3x = - 2 + 8}}$

$\text{Step \: 4} : \sf{Calculate}$

$\underline{ \text{Remember!}} : \sf{The \: negative \: and \: positive \: integers \: are \: always \: subtracted \: but \: posses \: the \: sign \: of \: the \: bigger \: integer.}$

$\mapsto{ \sf{ - 3x = 6}}$

$\text{Step \: 4} : \sf{Divide \: both \: sides \: by \: - 3}$

$\mapsto{ \sf{ \frac{ - 3x}{ - 3} = \frac{6}{ - 3}}}$

$\text{ Step \: 4} : \sf{Calculate}$

$\mapsto{ \sf{x = - 2}}$

Hope I helped!

Best regards! :D

~ $\sf{TheAnimeGirl}$

3 0

3 years ago

If f(x) = 5x – 1, then f^-1(x)=

adell [148]

Step-by-step explanation:

f(x) = 5x – 1

To find the inverse equate f(x) to y

That's

f(x) = y

y = 5x - 1

Interchange the terms

x = 5y - 1

Make y the subject

we have

5y = x + 1

Divide both sides by 5

y = x+1/5

Therefore f^-1(x)= x + 1/5

Hope this helps you

3 0

4 years ago

A car travels 10km southeast and then 15 km in a direction 60 degrees north of east. What is the magnitude of the car's resultan

Maurinko [17]

Answer: 15.85km

Step-by-step explanation:

The car starts at the point (0,0)

Let's define east as the positive x-axis and north as the positive y-axis.

first, the car travels 10km southeast, so the angle is -45° from the east.

Then the new position of the car is:

(10km*cos(-45°), 10km*sin(-45°)) = (7.07km, -7.07km)

Now, from this point the car travels 15km with an angle of 60° (counting from the east)

So the new position is:

(7.07km + 15km*cos(60°), -7.07km + 15km*sin(60°)) = (14.57km , 5.91km)

The magnitude of a vector (x, y) is √(x^2 + y^2)

So the magnitude of the vector (14.57km , 5.91km) is:

√((14.57km)^2 + (5.91km)^2) = 15.85km

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4 years ago

A dartboard has 20 equally divided wedges and you are awarded the number of points in the section of your dark lands in if you a

Leto [7]

Answer:

$Pr =0.75$

Step-by-step explanation:

Given

See attachment for wedge

Required

$P(x > 5)$

The sample space of the wedge is:

$S = \{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20\}$

$n(S) = 20$

The outcomes greater than 5 are:

$x > 5 = \{6,7,8,9,10,11,12,13,14,15,16,17,18,19,20\}$

$n(x>5) =15$

So, the probability is:

$Pr =\frac{(n(x>5)}{n(S)}$

This gives:

$Pr =\frac{15}{20}$

$Pr =0.75$

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3 years ago

The school band is ordering health bars to sell for a fundraiser. The company that sells the bars charges $0.40 per bar plus $20

Illusion [34]

0-449 is the most reasonable bc of how much the shipping costs

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3 years ago