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Genrish500 [490]

3 years ago

9

17 subtracted from x is at least 19

1 answer:

Alex Ar [27]3 years ago

4 0

$x-17 \leq 19$

$x \leq 36$

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What is an expression that equals 24 but includes an exponet

quester [9]

3 x (2)³ is an expression that's equal to 24 .

6 0

3 years ago

A car salesperson sells 5 out of 40 cars on the lot in a day. What is the ratio of cars he sold to the number on the lot in simp

irina [24]

5/40 = 1/8 so your taking it and dividing by 5

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2 years ago

What is the awnser to the problem b-9.5<7

OlgaM077 [116]

Answer:

b < 16.5

Step-by-step explanation:

b - 9.5 + 9.5 < 7 + 9.5

b < 16.5

hope this helped :D

5 0

3 years ago

A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station. Find the ra

Anika [276]

Answer:

The rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

Step-by-step explanation:

Given information:

A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station.

$z=1$

$\frac{dx}{dt}=430$

We need to find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

$y=2$

According to Pythagoras

$hypotenuse^2=base^2+perpendicular^2$

$y^2=x^2+1^2$

$y^2=x^2+1$ .... (1)

Put z=1 and y=2, to find the value of x.

$2^2=x^2+1^2$

$4=x^2+1$

$4-1=x^2$

$3=x^2$

Taking square root both sides.

$\sqrt{3}=x$

Differentiate equation (1) with respect to t.

$2y\frac{dy}{dt}=2x\frac{dx}{dt}+0$

Divide both sides by 2.

$y\frac{dy}{dt}=x\frac{dx}{dt}$

Put $x=\sqrt{3}$ , y=2, $\frac{dx}{dt}=430$ in the above equation.

$2\frac{dy}{dt}=\sqrt{3}(430)$

Divide both sides by 2.

$\frac{dy}{dt}=\frac{\sqrt{3}(430)}{2}$

$\frac{dy}{dt}=372.390923627$

$\frac{dy}{dt}\approx 372$

Therefore the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

6 0

3 years ago

Cole has 5 times as many pencils as

Nataly [62]

Answer:

Cole has 15 pencils.

Step-by-step explanation:

First, we have the equation c + o =18, c representing cole, and o representing connor.

From there, we get 5o=c

Using substitiution, we get o=3

5(3)=15

15+3=18

8 0

2 years ago